Answer:
85%
Step-by-step explanation:
well, she missed 3 throws only from all 20's, hmmm if we take 20(origin amount) to be the 100%, what's 3 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 20 & 100\\ 3& x \end{array} \implies \cfrac{20}{3}~~=~~\cfrac{100}{x} \\\\\\ 20x=300\implies x=\cfrac{300}{20}\implies x=15[/tex]
The manager of a farmer's market has 350 lb of grain that costs $1.40 per pound. How many pounds of meal costing $0.80 per pound should be mixed with the 350 lb of grain to produce a mixture that costs $1.10 per pound?
350 pounds of the meal should be added to the grain to produce a mixture that costs $1.10 per pound.
What is meant by addition?
In mathematics, addition is the process of fusing two or more integers. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum. It is one of the fundamental mathematical operations we employ on a daily basis. We add numbers in many different contexts.
Let the amount of meal mixed with the grain be 'x' pounds.
Now, Total price of the mixture = x*0.80 + 350*1.40 = (x+350)*1.10
350*(1.40 - 1.10) = x*(1.10 - 0.80)
350*0.3 = x*0.3
x = 350
Therefore, the amount of meal that should be added to the grain is 350 pounds.
To learn more about total amount calculation, refer to the link below:
https://brainly.com/question/26959824
#SPJ1
Please help, I’ll give brainliest!
CAN SOMEONE HELP ASAP! ITS FOR HOMEWORK AND I DONT KNOW HOW TO DO ANYTHING !!!
The missing angles are
A. = 130 degrees
B. = 55 degrees
C. = 145 degrees
D. = 73 degrees
E. = 43 degrees
F. = 23 degrees
G. = 61 degrees
H. = 90 degrees
I. = 50 degrees
J. = 27 degrees
K. = 25 degrees
How to find the valuesAssuming the missing angle in each case is x
A. Angle on a straight line = 180 degree
x + 50 = 180
x = 130 degrees
B. Angle at a point = 360 degrees
209 + 96 + x = 360
x = 360 - 96 - 209
= 55 degrees
C. Angle on a straight line = 180 degree
= 145 degrees
D. Vertical angles are equal, using vertical angle theorem
= 73 degrees
E. vertical angle theorem
= 43 degrees
Learn more about angles at:
https://brainly.com/question/25716982
#SPJ1
I need help with this
The unknown angles are as follows:
m∠1 = 117°
m∠3 = 68°
m∠4 = 22°
m∠5 = 90°
How to find angle relationship?When lines intersect angle relationships are formed such as linear angles, vertically opposite angles etc.
Therefore,
m∠1 = 180 - 63(sum of angles on a straight line)
m∠1 = 117 degrees
Hence,
m∠3 = 68 degrees(vertical angles)
Vertically opposite angles are congruent.
Hence,
m∠4 = 90 - 68
m∠4 = 22 degrees
Hence,
m∠5 = 90 degrees(right angle)
learn more on angles here: https://brainly.com/question/30349706
#SPJ1
Olivia
has 1/8 pound of butter. She needs to divide the butter equally among 4 batches of muffins she is baking. How much butter is used in each batch of muffins?
If she needs to divide the butter equally then quantity of butter that should be in 4 batches each is 1/32 pond.
According to the question:
Olivia has 1/8 pound of butter. She needs to divide the butter equally among 4 batches of muffins she is baking.
Quantity of butter = 1/8
Number of batches = 4
To find how much butter is used in each batch of muffins, we just have to divide 1/8 pond of butter to 4.
If she needs to divide the butter equally then quantity of butter that should be in 4 batches each = 1/8 ÷ 4 = 1/32 pond
To know more about portion
https://brainly.com/question/30670894
#SPJ4
natasha wants to average at least 90% in math class. her test scores so far are 94%, 89%, 88%, 92%, and 85%. what score does she need to earn on her next test to reach her goal? show your work.
Hey there! Johnny Sins always here to help,
To find out what score Natasha needs to earn on her next test, we can use the following formula:
Average = (sum of all scores) / number of scores
Let's call the score Natasha needs to earn on her next test "x".
Her average so far is:
Average = (94 + 89 + 88 + 92 + 85) / 5 = 90
Her average after her next test will be:
Average = (94 + 89 + 88 + 92 + 85 + x) / 6
Now, we need to set this equal to 90% and solve for x:
90 = (94 + 89 + 88 + 92 + 85 + x) / 6
90 * 6 = (94 + 89 + 88 + 92 + 85 + x)
540 = (94 + 89 + 88 + 92 + 85 + x)
x = 540 - (94 + 89 + 88 + 92 + 85)
x = 540 - 448
x = 92
So, Natasha needs to earn a 92% on her next test to average at least 90%.
_________________________________________________________
No problem for the answer, be sure o give a 5 stars and thanks,
Johnny Sins
Bonus: (up to 5 points) The answer to the clues on the left goes on the first line. When you rearrange the
letters of this answer, you will reveal the word that is the answer to the clue on the right
What we do at night for 7-8 hours
Piece of lumber
Where you buy pastrami, etc/sandwiches (plural)delic slide
Christmas decoration
A direction
north
Sleep
OFFIC
thern
Part of bananas
Wide
A piece of playground equipment
Part of a rose
Answer:
sleep-peels:board-broad:delis-slide:tinsel-silent:north-thorn
Step-by-step explanation:
Those are the corresponding words
kareem is trying to decide which college to attend full time next year. kareem believes there is a 55% chance that he will attend state college and a 33% chance that he will attend northern university. the probability that kareem will attend either state or northern is
Kareem's probability of attending either State or Northern is 0.88, meaning there is an 88% chance that Kareem will attend one of the universities.
Probability is a measure of the likelihood of an event occurring.
Kareem's case, the probability of attending State College is 55%, which means there is a 55% chance that Kareem will attend State College. The probability of attending Northern University is 33%, which means there is a 33% chance that Kareem will attend Northern University.
To determine the probability of attending either State or Northern, we add the individual probabilities of each event. Thus, the probability of attending either State or Northern is:
P(State) + P(Northern) = 0.55 + 0.33 = 0.88
The probability of attending either State or Northern is 0.88, which means there is an 88% chance that Kareem will attend one of these universities. It is important to note that the sum of all probabilities of all possible outcomes is always equal to 1.
To know more about probability here.
https://brainly.com/question/11234923
#SPJ4
A room is 11 ft by 20 ft. It needs to be painted. The ceiling is 8 ft above the floor. There are two windows in the room, each one is 3 ft by 4 ft. The door is 2.5 ft by 6.5 ft.
Part 2
a) Find the area of the walls and ceiling to be painted.
b) One gallon of paint covers 71.41 sq ft. How many gallons are needed to paint the room?
c) At $18.32 a gallon, what is the cost to paint the room?
The required answers are,
a) 675.75 [tex]ft^2[/tex]
b) 9.46 gallons or we can say that 10 gallons needed.
c) $183.2
What is Area:The amount of unit squares that cover a closed figure's surface is its area. Area is measured in square units like cm² and m². Area of a shape is a two dimensional quantity. The term “area” refers to the space inside the boundary or perimeter of a closed shape.
Now in the given question,
Area of Walls:
[tex]A(walls)=2(11*8)+2(20*8)\\A(walls)=2(88)+2(160)\\A(walls)=176+320\\A(walls)=496 ft^2[/tex]
Area of 2 windows:
[tex]A(windows)=2(3*4)\\A(windows)=2*12\\A(windows)=24 ft^2[/tex]
Area of door:
[tex]A(door)=2.5*6.5\\A(door)=16.25 ft^2[/tex]
Area of walls to be painted:
[tex]=A(walls)-A(windows)-A(door)\\=496-24-16.25\\=455.75ft^2[/tex]
Area of ceiling:
[tex]A(ceiling)=11*20\\A(ceiling)=220ft^2[/tex]
(a) Now total area to be painted:
A(walls to be painted)+ A(ceiling)=A(total)
[tex]A(total)=455.75 ft^2+220ft^2\\A(total)=675.75 ft^2[/tex]
(b) Number of Gallons:
coverage=71.41 ft^2 /gallon
675.75 ft^2/71.41 ft^/gal=gallons needed
9.46 gal= 10 gallons needed(approx)
(c) Cost of Paint:
You would need to buy 10 gallons at $18.32/gallon to have sufficient paint
cost=10 gallons x $18.32/gallon
=$183.2
To know more about area, visit:
https://brainly.com/question/27683633
#SPJ1
I need help on this and it’s my last one please help
The number line is completed and attached.
What is a number line?A number line is a straight line that extends in both directions and is used to represent numbers. It is often used to visually demonstrate the relationships between numbers, including ordering and magnitude.
The number line is arranged in steps of 1/4 (fraction) or 0.25 (decimal), this represents the smallest tick marks
The medium sized marks represents the 0.5 line while the largest line mark represents the benchmark numbers chosen suitable to suit the numbers.
The negative part of the number line are numbered with the zero mark.
numbers like 1/8 (or 0.125) are converted to decimal and falls half way between each marked line.
2² = 4 and this is a benchmark number.
Learn more on number line at:
https://brainly.com/question/12399107
#SPJ1
Becky is making fruit salad with strawberries and cherries. She has 1.84 pounds of strawberries and 2.62 pounds of cherries. She mixes the two fruits together and then scoops out 0.25 pounds of fruit salad for each serving. What is the greatest number of 0.25 pound servings Becky can make?
The greatest number of 0.25 pound servings Becky can make is 18.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, Becky has 1.84 pounds of strawberries and 2.62 pounds of cherries.
Now, number of pounds of salads
= 1.84+2.62
= 4.46 pounds
Becky mixes the two fruits together and then scoops out 0.25 pounds of fruit salad for each serving.
So, the number of servings = 4.46/0.25
= 17.84
≈ 18
Therefore, the greatest number of servings is 18.
To learn more about the unitary method visit:
brainly.com/question/22056199.
#SPJ9
word problem using division where the answer is 64
Answer:
Step-by-step explanation:
There are 256 people in a room. If they are divided into groups of 4, how many groups are there?
Answer: 64
Select the correct answer.
Consider this quadratic equation.
x² + 3 = 4x
Which expression correctly sets up the quadratic formula to solve the equation?
O A.
OB.
O C.
O D.
-(-4) ± √(-4)² - 4(1)(3)
2(1)
-(-4) ± √(-3)² - 4(1)(4)
2(1)
-(-4) ± √4²(1)(3)
2(1)
-4± √√42-4(1)(3)
2(1)
The equation can be solved using the quadratic formula when the following expression is used: [tex]$x=\frac{-(-4)+-\sqrt{(-4)^2-4(1)(3)}}{2(1)}$[/tex]
What is quadratic formula?The quadratic formula in elementary algebra is a formula that gives the solution(s) to a quadratic equation. In addition to the quadratic formula, there are various methods for solving quadratic equations, including factoring (direct factoring, grouping, and the AC technique), completing the square, graphing, and others.
The following general quadratic equation is given:
ax² + bx + c = 0
As a result, a polynomial equation with exponent two is referred to as a quadratic ("square-like") equation. Quadratum is the Latin word for square, and since the area of a square with side length x is given by x2, this is the case.
A quadratic equation's solution(s) can be found using the quadratic formula in elementary algebra. Graphing, factoring (direct factoring, grouping, AC technique), completing the square, and other methods can be used to solve a quadratic equation in addition to the quadratic formula.
The given equation is x² - 4x + 3 = 0
When compared to the quadratic equation's general equation, we get a = 1, b = -4, c = 3.
When the coefficient values for the Sridhar Acharya formula are put in,[tex]$x=\frac{-(-4)+-\sqrt{(-4)^2-4(1)(3)}}{2(1)}$[/tex] which gives Option (A).
To learn more about quadratic formula, refer to:
https://brainly.com/question/1214333
#SPJ1
Question 2 2 pts Tests for tuberculosis like all other diagnostic tests are not perfect: QFT-G is one of such tests for tuberculosis Suppose that for the population of adults that is taking the test; 5% have tuberculosis The test correctly identifies 74.6% of the time adults with a tuberculosis and correctly identifies those without tuberculosis 76.53% of the time. Suppose that POS stands for the test gives a positive result and S means that the adult really has tuberculosis What is the probability of an adult getting a NEG result and truly NOT having tuberculosis? 0.0373 0.0127 0.2230 0.7270
The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270.
The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270. This can be calculated using Bayes' Theorem, which states that [tex]P(A|B) = (P(B|A) * P(A))/(P(B)).[/tex]
In this problem, P(A) is the probability of having tuberculosis (5%), P(B|A) is the probability of correctly identifying a person with tuberculosis (74.6%), and P(B) is the probability of getting a positive result (the sum of correctly identifying a person with tuberculosis (74.6%) and incorrectly identifying a person without tuberculosis
Therefore, P(A|B) = 0.7270.
The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270.
Learn more about probability here:
https://brainly.com/question/11234923
#SPJ4
< A and < B are complementary angles.
Find the measure of
16
34
46
100
Step-by-step explanation:
Complementary angles add up to 90 degrees, so if one angle is known, the measure of its complement can be found by subtracting it from 90 degrees.
If <A is 16 degrees, then <B is 90 - 16 = 74 degrees.
If <A is 34 degrees, then <B is 90 - 34 = 56 degrees.
If <A is 46 degrees, then <B is 90 - 46 = 44 degrees.
If <A is 100 degrees, then <B is 90 - 100 = -10 degrees. However, angles can't be negative, so this solution is not valid.
Tre has 10 pencils and will has 14 pens what is the ratio of pencils to pens
The ratio of pencils to pens can be calculated by dividing the number of pencils by the number of pens. In this case, the ratio of pencils to pens is 10/14.
A ratio is a way to compare two or more values or quantities. It is expressed as a fraction or as a colon-separated pair of numbers. The first number in the ratio represents the number of units of the first quantity, and the second number represents the number of units of the second quantity.
In the case of the ratio of pencils to pens, the first quantity is the number of pencils and the second quantity is the number of pens. To calculate the ratio, you divide the number of pencils by the number of pens. In this case, you would divide 10 by 14, which is equal to 10/14 or 5/7.
The ratio can be expressed as either a fraction or as a colon-separated pair of numbers. In this case, the ratio of pencils to pens is either 5/7 or 5:7.
To learn more about ratio please click on below link
https://brainly.com/question/1504221
#SPJ4
PLEASE HELP!!!!!!!!!!!!!!!!
There is only one pair of solution to the given system.
What is system of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.Given is the system of equations as graphed.
The solution of the given system of equations is given by the total number of intersections of the graphed lines. These lines intersect at only one point (1, 4). So, there is only one pair of solution.Therefore, there is only one pair of solution to the given system which is (1, 4).
To solve more questions on graph transformation, visit the link below
https://brainly.com/question/8535922
#SPJ9
Colton's gross pay is $1421.50 and his net pay is $973.48.
What percent of his gross pay is take-home pay?
31.5%
44.8%
46%
68.5%
68.5% of Colton's gross pay is take-home pay. To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and then multiply by 100 to convert the resulting decimal to a percentage.
To find the percentage of Colton's gross pay that is take-home pay, we need to divide his net pay by his gross pay and multiply the resulting decimal by 100 to express it as a percentage. Colton's gross pay is $1421.50 and his net pay is $973.48. Dividing the net pay by the gross pay gives a result of 0.685, or 68.5% when converted to a percentage. This means that 68.5% of Colton's gross pay is take-home pay, or the amount of money that he receives after deductions are made. Therefore, Colton's take-home pay is $973.48, which is 68.5% of his gross pay.
Learn more about percentages here: brainly.com/question/16797504
#SPJ4
Write a rule for the n th term of the sequence for which a = 30 and r= 1/2
A rule for the nth term of the sequence for which a = 30 and r= 1/2 the 5th term of the sequence is 1.875.
What is the geometric sequence?
A geometric sequence is often referred to as geometric progression or geometric series is defined as a sequential pattern of non-zero numbers in which the following number's value is a multiplication from the preceding number by another constant non-zero number.
The rule for the nth term of a geometric sequence is given by the formula:
aₙ = a * r⁽ⁿ⁻¹⁾
where "a" is the first term in the sequence, "r" is the common ratio, and "n" is the position of the term in the sequence.
In this case, we have "a" = 30 and "r" = 1/2. Substituting these values into the formula, we get:
aₙ = 30 x (1/2)⁽ⁿ⁻¹⁾
This is the rule for the nth term of the sequence with the first term 30 and common ratio 1/2.
To find the nth term of the sequence, we simply plug in the value of "n" into the formula. For example, the 5th term of the sequence would be:
a₅ = 30 * (1/2)⁽⁵⁻¹⁾ = 30 * (1/2)⁴ = 30 * 1/16 = 1.875
Therefore, the 5th term of the sequence is 1.875.
To learn more about the geometric sequence visit,
https://brainly.com/question/29632351
#SPJ1
What is the total number of digits used to number 1200 pages?
Answer:
The correct answer would be 3693
Step-by-step explanation:
9 + 180 + 2,700 + 804
3693
1200 pages were numbered using a total of 3693 digits.
What is total number?The word "total" refers to the addition of numbers or the destruction of something, and a total is a whole or complete sum. In mathematics, adding two or more numbers yields the sum. When you multiply 8 by 8, you get 16.the total of the acquisition's purchase price plus all future expenses that will be spent, including those for installation, consumables, breakdown, maintenance, and disposal. The sum is the outcome or conclusion of adding two or more numbers or phrases. As a result, the sum is a means of assembling objects. In other terms, the process of adding two or more numbers together to create a new result or total is known as the sum.Total digits equal = the digits in the 1 - digit page numbers + the 2 digit page numbers - digit page numbers + 3 digit page numbers - digit page numbers.
Then simplify,
9 + 180 + 2,700 + 804
= 3693
To learn more about total number, refer to:
https://brainly.com/question/1136789
#SPJ1
A truck that can carry no more than 6500lb is being used to transport refrigerators and upright pianos. Each refrigerator weighs 300lb and each piano weighs 475lb. Write and graph an inequality to show how many refrigerators and how many pianos the truck could carry. Will 10 refrigerators and 9 pianos overload the truck? Explain.
Answer:
We can write an inequality to represent the weight that the truck can carry:
Weight of Refrigerators + Weight of Pianos <= 6500
Let x be the number of refrigerators and y be the number of pianos. Then we can write:
300x + 475y <= 6500
To determine if 10 refrigerators and 9 pianos would overload the truck, we can substitute the values into the inequality:
300 * 10 + 475 * 9 <= 6500
3000 + 4275 <= 6500
7275 <= 6500
Since 7275 is greater than 6500, this means that 10 refrigerators and 9 pianos would overload the truck.
Graphically, we can plot the points representing the weight of the refrigerators and pianos on the x-y plane, and shade the region below the line representing the inequality to show the combinations of refrigerators and pianos that would not overload the truck. Any point above the line would represent a combination of refrigerators and pianos that would overload the truck.
Hope it helps! : )
Answer:
7275lb
Step-by-step explanation:
Let R be the number of refrigerators and P be the number of pianos. The total weight of the load can be represented as:
Weight = 300R + 475P
The weight must be less than or equal to 6500lb, so we have the inequality:
300R + 475P <= 6500
To graph this inequality, we can first rewrite it in slope-intercept form:
475P <= 6500 - 300R
P <= (6500 - 300R) / 475
Next, we can plot the points (0, 13.68), (22, 0) on the coordinate plane, where (0, 13.68) corresponds to the y-intercept and (22, 0) corresponds to the x-intercept. The graph will be a line that starts at the y-intercept and goes down to the right, passing through (22, 0).
The truck could carry up to 22 refrigerators (when R = 22, P = 0), or up to 13.68 pianos (when R = 0, P = 13.68), or any combination of refrigerators and pianos that results in a weight of less than or equal to 6500lb.
As for the specific case of 10 refrigerators and 9 pianos, the weight can be calculated as:
Weight = 300 * 10 + 475 * 9 = 3000 + 4275 = 7275
This would overload the truck, as the weight of 7275lb is greater than the maximum allowed weight of 6500lb.
assume you have applied to two different universities (let's refer to them as universities a and b) for your graduate work. in the past, 10% of students (with similar credentials as yours) who applied to university a were accepted, while university b accepted 50% of the applicants. assume events are independent of each other. a. what is the probability that you will be accepted to both universities?
If 10% of students who applied to university a were accepted, while university b accepted 50% of the applicants. The probability of being accepted to both universities is 0.05, or 5%.
The probability of being accepted at University A is 10%, which means the probability of not being accepted at University A is 90% (or 0.9). The probability of being accepted at University B is 50%, which means the probability of not being accepted at University B is 50% (or 0.5).
Since the events of being accepted at each university are independent of each other, we can use the multiplication rule of probability to find the probability of being accepted at both universities.
P(A and B) = P(A) x P(B)
where P(A and B) represents the probability of being accepted at both universities, P(A) represents the probability of being accepted at University A, and P(B) represents the probability of being accepted at University B.
Plugging in the values we have:
P(A and B) = 0.1 x 0.5 = 0.05
Therefore, the probability of being accepted to both universities is 0.05, or 5%. This means that there is a very low chance of being accepted at both universities, given the acceptance rates provided.
To learn more about probability click on,
https://brainly.com/question/28996538
#SPJ4
Toilets rolls are sold in packs 4 how many toilet rolls are there 10 packs
Answer:
40
Step-by-step explanation:
To determine the number of rolls, take the number of packs and multiply by the number of rolls per pack.
10 *4 = 40
40 rolls total.
Answer:
40 rolls
Step-by-step explanation:
10 packs * 4 rolls per pack
Travel agents were designing a marketing program to promote tourism in Canada. To determine the target audience for their program, the travel agents surveyed people across two different age groups about whether they have been to Canada in the past six months. The table below shows the results of the survey.
Answer: 63%
Step-by-step explanation:
22 divided by 35 times 100
if the first one to arrive will wait only 20 min before leaving to eat elsewhere, what is the probability that they have dinner at the health-food restaurant? [hint: the event of interest is a
The probability that they have dinner at the health food restaurant is 0.643.
To calculate the probability that the first one to arrive has dinner at the health-food restaurant given that they will wait only 20 minutes before leaving to eat elsewhere, we need to use conditional probability.
Let A be the event that the first one to arrive has dinner at the health-food restaurant, and let B be the event that the first one to arrive waits only 20 minutes before leaving to eat elsewhere.
We want to find P(A|B), the probability that A occurs given that B occurs.
We know that P(A) = 0.3, the probability that the first one to arrive has dinner at the health-food restaurant. We also know that P(B|A) = 0.6, the probability that the first one to arrive waits only 20 minutes before leaving to eat elsewhere given that they have dinner at the health-food restaurant.
To calculate P(B), the probability that the first one to arrive waits only 20 minutes before leaving to eat elsewhere, we need to use the law of total probability:
P(B) = P(B|A) x P(A) + P(B|A') x P(A')
where A' is the complement of A, i.e., the event that the first one to arrive does not have dinner at the health-food restaurant. We know that P(A') = 1 - P(A) = 1 - 0.3 = 0.7, and we are given that P(B|A') = 0.1, the probability that the first one to arrive waits only 20 minutes before leaving to eat elsewhere given that they do not have dinner at the health-food restaurant.
Therefore, we can calculate P(B) as:
P(B) = P(B|A) x P(A) + P(B|A') x P(A')
= 0.6 x 0.3 + 0.1 x 0.7
= 0.21 + 0.07
= 0.28
Finally, we can calculate P(A|B) using Bayes' theorem:
P(A|B) = P(B|A) x P(A) / P(B)
= 0.6 x 0.3 / 0.28
= 0.643
Therefore, the probability that the first one to arrive has dinner at the health-food restaurant given that they will wait only 20 minutes before leaving to eat elsewhere is approximately 0.643 or 64.3%.
Learn more about probability here: brainly.com/question/13604758
#SPJ4
14 Jun 2018 · Norman is 12 years older than Michael. In 6 years, he will be twice as old as Michael. How old is Michael now? (A) 3 (B) 6 (C) 12
Michael is now (B) 6 years old.
Let's start by defining variables for the current ages of Norman and Michael.
Let N be Norman's current age, and M be Michael's current age.
From the problem statement, we know that N = M + 12 (Norman is 12 years older than Michael).
We also know that in 6 years, Norman will be twice as old as Michael.
So we can set up the following equation:
N + 6 = 2(M + 6)
Substituting N = M + 12 into the equation, we get:
M + 12 + 6 = 2(M + 6)
Simplifying:
M + 18 = 2M + 12
M = 6
Therefore, Michael is currently 6 years old.
Answer: (B) 6
To learn more about years here:
https://brainly.com/question/3859460
#SPJ4
A large data set includes samples of body temperatures. Analyzing one sample of body temperatures results in n=107, x=98.19°F, and s=0.624°F. It is
commonly believed that humans have a mean body temperature of 98.6°F. If the analysis is repeated with a different sample and it is found that for 100
randomly generated samples, 38 of these generated samples have a mean that is as extreme as the mean of the actual sample, what should be concluded
about the assumed mean of 98.6°F? (Assume that an event is significant if it has a probability of 0.05 or less.)
Since 38 of the 100 samples have means that are as much as the sample mean, then that sample mean
strong evidence against the assumed mean of 98.6°F. It appears the population mean
▼98.6°F.
so there
The profanity filter refused my answer.
Please find it in the txt file.
Read more about statistics here:
https://brainly.com/question/15525560
#SPJ1
Point B is located at (-4, -6) on the coordinate plane. Point B is reflected over the x-axis to create point B'. Point B' is then reflected over the y-axis to create point
B". What ordered pair describes the location of B"?
Answer:
The ordered pair for point B after it has been reflected over both the x and y-axis is (4, 6).
This is due to the rule for reflecting over the x-axis, which is to negate the value of the y-coordinate of each point, but leave the x-value the same. This means that after reflecting point B over the x-axis, it's new coordinates would be (-4, 6).
The rule for reflecting over the y-axis is to negate the value of the x-coordinate of each point, but leave the y-value the same. This means that after reflecting point B' over the y-axis, it's new coordinates would be (4, 6).
Which of the following shows 87 and 1/2% as a fraction? 7/8, 5/8, -8/75, none of these
On solving the provided question we can say that 7/8 show 87 and 1/2% as a fraction
what is fraction?Any number of equal parts or fractions can be used to represent a whole. Standard English fractions indicate how many units of a particular size there are. 8, 3/4. Whole contains fractions. The numerator to denominator ratio is a way of representing numbers in mathematics. Each of these is a simple fractional integer. A complex number has a fraction in its numerator or denominator. A proper fraction has a numerator that is smaller than the denominator. A fraction is a sum that is part of a grand total. It can be evaluated by breaking it down into smaller parts. For example, a whole number or half article is represented as 12.
7/8 show 87 and 1/2% as a fraction
87 and 1/2% should be written as 87.5%
To know more about fraction visit:
brainly.com/question/10354322
#SPJ1
shandra has a bag that contains pineapple chews, cherry chews, and peach chews. she performs an experiment. shandra randomly removes a chew from the bag, records the result, and returns the chew to the bag. shandra performs the experiment 57 times. the results are shown below: a pineapple chew was selected 8 times. a cherry chew was selected 25 times. a peach chew was selected 24 times. if the experiment is repeated 400 more times, about how many times would you expect shandra to remove a pineapple chew from the bag? round your answer to the nearest whole number.
Shandra is expected to select a pineapple chew about 56 times in the next 400 selections.
Based on the given results, Shandra selected a pineapple chew 8 times out of 57 selections. To estimate the expected number of times she would select a pineapple chew in the next 400 selections, we can use the proportion of pineapple chews selected in the first 57 selections:
The proportion of pineapple chews selected = 8/57
To estimate the expected number of pineapple chews in the next 400 selections, we can multiply the proportion by the total number of selections:
Expected number of pineapple chews in the next 400 selections = (8/57) x 400
expected number of pineapple chews in the next 400 selections = 56.14
Rounding to the nearest whole number, we would expect Shandra to select a pineapple chew about 56 times in the next 400 selections.
For more such questions on Probability: brainly.com/question/14349540
#SPJ4
