Answer:
34.5%
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 9, \sigma = 2.5[/tex]
What percentage of the books last more than 10 years?
As a proportion, this is 1 subtracted by the pvalue of Z when X = 10. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{10 - 9}{2.5}[/tex]
[tex]Z = 0.4[/tex]
[tex]Z = 0.4[/tex] has a pvalue of 0.655
1 - 0.655 = 0.345
So
34.5% of the books last more than 10 years.
PLEAS HELP FAST !!
solve the equation below. please include the steps.
x^2+8x+15=0
Answer:
[tex]x_{1} =-5\\and \\x_{2} =-3[/tex]
Step-by-step explanation:
Solve by using factoring ------->
rewrite the expresion
x^2+8x+15=0
x^2+5x+3x+15=0
factor out x from the expression
x^2+5x+3x+15=0
xx(x+5)+3x+15=0
xx(x+5)+3(x+5)=0
factor out x+5 from expression
(x+5)x(x+3)=0
when the product of factors equals 0, at least one factor is 0
x+5=0
x+3=0
solve the equation for x
x = -5
x = -3
the equation has 2 solutions
[tex]x_{1} =-5, x_{2} =-3[/tex]
Step-by-step Explanation:Quadratic formula
[tex]x=\frac{-8+\sqrt{8^{2} -4x1x15} }{2x1}[/tex]
any expression multiplied by 1 remains the same
[tex]x=\frac{-8+\sqrt{8^{2}-4x15 } }{2}[/tex]
evaluate the power
[tex]x=\frac{-8+\sqrt{64-4x15} }{2}[/tex]
multiply the numbers
[tex]x=\frac{-8+\sqrt{64-60} }{2}[/tex]
subtract the numbers
[tex]x=\frac{8+\sqrt{4} }{2}[/tex]
calculate the square root
[tex]x=\frac{-8+2}{2}[/tex]
write solution with a + sign and a - sign
[tex]x=\frac{-8+2}{2} \\x=\frac{-8-2}{2}[/tex]
calculate the value
[tex]x=-3\\x=-5[/tex]
the equation has 2 solutions
[tex]x=-3\\x=-5 \\and\\x_{1} =-5\\x_{2} =-3[/tex]
I need help fast!! 7th grade math
Answer:
TU
Step-by-step explanation:
Imagine flipping the original trapezoid on its side and eyeballing which side of the now flipped trapezoid looks like the side CD.
HELP!!!
Find the length of side x in simplest radical form with a rational denominator.
Answer:
Step-by-step explanation:
Square root of 2
find the value of x inscribed angles
Answer:
x = 84°
y = 96°
Step-by-step explanation:
By tangent secant theorem:
[tex]x = \frac{1}{2} \times 168 \degree \\ \\ x =84 \degree \\ \\y = \frac{1}{2} \times (360 - 168) \degree \\ \\ y = \frac{1}{2} \times 192 \degree \\ \\ y = 96 \degree [/tex]
what is the long division work of the problem of 337 divided by 2.
Step-by-step explanation:
168 <-- quotient --- 337 2 - 13 12 -- 17 16 -- 1 <-- remainder
Answer:
168.5
Step-by-step explanation:
₁ ₁ ₁
2 ) 3 3 7. 0
1 6 8.5 <--- Quoitient
first part is 2 divide once into 3 with remainder 1
- and this 1 goes in front of the 3 to give 13.
2 into 13 goes 6 times with remainder 1
- then we get 2 into 17 giving 8 remainder 1 and so on....
Cooper bought 5 pounds of soil to
use in 8 small flower pots. He used
the same amount of soil in cach
flower pot. If Cooper used all of the
soil, how many ounces of soil did he
put in each flower pot?
Answer:
10 ounces
Step-by-step explanation:
5 pounds equals 80 ounces, so 80 divided by 8 is 10
Rachel has a bag containing 3 red marbles, 5 purple marbles, and 10 blue marbles.
What is the probability that she will pull a purple marble out of the bag? What is the
complement?
Answer:
5/18, 13/18
Step-by-step explanation:
The basic probability of anything is Specific Outcome / Total Outcomes
The specific outcome here is pulling a purple marble. We see there are 5 purple marbles therefore there are 5 ways to get them. The total outcomes are the total number of marbles which is 18. Therefore, the answer is 5/18
The complement of a probability is 1 minus the original probability, so, it would be 1 - 5/18 here getting us 13/18 as the answer.
Enterprise rents small vans to the Salvation Army to help deliver hot meals to senior citizens. Each van can only carry 1,200 pounds (lbs) of people and gear for safety reasons. The vans transport a number of volunteers to a central location to start deliveries from. Each person will deliver a single meal per trip. Assume the average weight of a person is 150 pounds. Each van will require 200 pounds of gear to keep the meal hot during transport, plus 10 pounds for each meal that will be delivered.
a) Create an inequality describing the restrictions on the number of people possible in a van. Graph the solution set.
b) A group of five volunteers wish to rent a van. What is the maximum average weight that the five volunteers can weigh and still be able to rent a van? Justify your answers.
Answer:
inverseoperations
Step-by-step explanation:
An inequality is used to represent unequal expressions or numbers. The inequality describing the restrictions on the number of people possible in a van is [tex]160n + 200 \le 1200[/tex].
Given that:
[tex]Total = 1200[/tex] --- total pounds the van can contain
[tex]Weight = 150[/tex] --- average weight of each person
[tex]Gear = 200[/tex] -- weight of the gear in a van
[tex]Meal =10[/tex] -- weight of each meal
Assume there are n people.
The total weight (T) of the n people is:
[tex]T = Weight \times n[/tex]
Substitute [tex]Weight = 150[/tex]
[tex]T = 150 \times n[/tex]
[tex]T = 150n[/tex]
The total weight (M) of the meals is:
[tex]M= Meal \times n[/tex]
Substitute [tex]Meal =10[/tex]
[tex]M= 10\times n[/tex]
[tex]M= 10n[/tex]
Because the van cannot contain more than 1200 pounds, we use less than or equal to as the inequality.
So, the inequality is:
[tex]T + M + Gear \le 1200[/tex]
[tex]150n + 10n + 200 \le 1200[/tex]
[tex]160n + 200 \le 1200[/tex]
Hence, the inequality is: [tex]160n + 200 \le 1200[/tex]
The solution to the inequality is as follows:
[tex]160n + 200 \le 1200[/tex]
Collect like terms
[tex]160n \le 1200-200[/tex]
[tex]160n \le 1000[/tex]
Divide both sides by 160
[tex]n \le 6.25[/tex]
Remove the decimal part (do not approximate)
[tex]n \le 6[/tex]
Hence, the vehicle cannot contain more than 6 people.
See attachment for graph
Read more about inequalities at:
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Castor bought 3 spells for $9 how many spells can you buy for $12.00
Answer:
4
Step-by-step explanation:
divide 9 by 3 the answer is 3 then divide 12 by 3 then the answer is 4
Answer:
4 spells can be bought with $12.00
Step-by-step explanation:
3 times 3 is 9 = 3 spells for nine dollars
3 times 4 is 12 = 4 spells for 12 dollars
Each spell costs $3.00
A.Who was the first english mathematician who first used the modern symbol of equality in 1557?
(To get the answer,compute the sums of the given exercises below.
Write the letter of the problem correponding to the answer found in each box at the bottom).
Answer:
Robert Recorde.
Step-by-step explanation:
Robert Recorde was a Welsh known for vast knowledge and experience in the field of mathematics and physics. He was born in Tenby, Pembrokeshire, Wales during the Medieval period (c. 1512).
Robert Recorde was famously known for his work in the field of mathematics and most especially, the invention of the equal to (=) sign. He introduced it in his book titled "The Whetstone of Witte."
Hence, Robert Recorde was the first english mathematician who first used the modern symbol of equality in 1557.
whats 1+1???/ HELLPPP PLEASE HELPPP
Answer:
it 11 IT NOT 22 NOR 2 okay 11
Step-by-step explanation:
(4x 10) + (5x2) + (7 x 1 10) + (8 160) = ?
Answer:
It's 45.78
Step-by-step explanation:
4 x 10 = 40
5 x 1 = 5
7 x 1/10 = 0.7
8 x 1/100 = 0.08
add them all together and you get 45.78
What is 85% of 30?
It seems to not be working for me
Answer:
25.5
Step-by-step explanation:
Put the digits in your calculator 30×85% and you will get 25.5
Which is not a true statement about the figures shown below
Answer:That is no thing shown below
Step-by-step explanation:
Answer:
I wish I could help you but you didn't attach a picture.
Solve forx: 10 (2x - 4) + 5 = 2r - 8 1 ОА. x =- 19 10 O B. x= =- 1 С O c. x = 1 O D. x = =
Answer:
Option D
Step-by-step explanation:
Given expression is,
10(2x - 4) + 5 = 2x - 8
By using distributive rule,
20x - 40 + 5 = 2x - 8
20x - 35 = 2x - 8
Now we subtract 2x from both the sides of the equation
20x - 35 - 2x = 2x - 8 - 2x
18x - 35 = -8
By adding 35 on both the sides of the equation
18x - 35 + 35 = - 8 + 35
18x = 27
By diving with 18 from both the sides of the equation
[tex]\frac{18x}{18}=\frac{27}{18}[/tex]
x = [tex]\frac{3}{2}[/tex]
Therefore, Option D will be the correct option.
Can someone help me PLEAS
Answer:
D
Step-by-step explanation:
An irrational number is a number that cannot be expressed as a fraction for any integers and. . Irrational numbers have decimal expansions that neither terminate nor become periodic
Three families bought food at a baseball game. The Castillo family
spent $27.50 on 2 burgers, 3 fries, and 4 drinks. The Peterson family
spend $26.50 on 3 burgers, 2 fries, and 3 drinks. The Barbour family
spent $27 on 2 burgers, 4 fries, and 2 drinks. What system of
equations could be used?
Answer:
1.50
Step-by-step explanation:
Which equation represents a parabola with a focus of (0, 5) and a directrix of y=-1?
Answer:
x^2 = 12 (y - 2)
Step-by-step explanation:
how to explian
The equation that represents a parabola is x^2 = 12(y-2).
What is a parabola?Parabola is a open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is the locus of a point that is equidistant from a fixed point called the focus (F), and the fixed-line is called the directrix.
For the given situation,
A parabola with a focus of (h,k+p) is (0, 5) and
A directrix of y = (k-p) = -1
Here,
[tex]k+p=5\\k-p=-1[/tex]
On solving these equations,
[tex]k=2, p =3[/tex]
The general equation of parabola is
[tex](x-h)^{2} =4p(y-k)[/tex]
On substituting all the values,
⇒ [tex](x-0)^{2} =4(3)(y-2)[/tex]
⇒ [tex]x^{2} =12(y-2)[/tex]
Hence we can conclude that the equation that represents a parabola is x^2 = 12(y-2).
Learn more about parabola here
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what is 4(6-1) distributive property?
Answer:
4(6 - 1) = 4 * 6 - 4 * 1 = 24 - 4 = 20
Step-by-step explanation:
Multiply 4 by each of the numbers inside the parentheses.
4(6 - 1) = 4 * 6 - 4 * 1 = 24 - 4 = 20
Answer: 24-4
Explanation: 4(6-1)
4x6=24
4x-1=-1
24-4
Choose all the common denominators for 1/4 and 7/10
Answer:
1 and 2
Step-by-step explanation:
4 and 10 are even and that means there is 2 in the group and one cause 1 fits into everything
The common denominators of the given fractions [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] are 20 and 40.
What is a fraction ?
A fraction is used to represent a portion or component of a whole. The numerator and denominator are its two parts.
The two fractions are given which are : [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] .
We know that the numerator is the top or upper value in a fraction whereas a denominator is lower or bottom value in a fraction.
Here , the denominators in both the fractions are 4 and 10 respectively.
To find out the common denominators for both the fractions , we need to calculate the common multiples of 4 and 10.
Multiples of 4 are :
4 , 8 , 12 , 16 , 20 , 24 , 28 , 32 , 36 , 40 , 44
Multiples of 10 are :
10 , 20 , 30 , 40 , 50
Common multiples are :
20 and 40
This meant , common denominators will be 20 and 40.
Therefore , the common denominators of the given fractions [tex]\frac{1}{4}[/tex] and [tex]\frac{7}{10}[/tex] are 20 and 40.
Learn more about fractions here :
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An arts academy requires there to be 6 teachers for every 144 students and 3 tutors for every 27 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 63 students?
There are 5 slides, i've provided image for them all i need help with it. if your going to answer write it in order from slide 1-5 so it's easier to understand.
Answer:
mark as brainleast and fo-ll-ow me
Slide 1.
Part A.
1. Band A: y = 600
2. Band B: y = 1.25x + 350
Part B.
200 students.
Slide 2.
Part A.
Fixed cost = $150
Rate per student served = $6
Part B.
To figure the cost/person, look at the change in cost divided by the change in attendance.
For 100 students, cost = $750.
For 150 students, cost = $1050.
Change in cost = $300
Change in students = 50
Cost per additional student = 300/50 = $6
Assuming the costs are linear, then the price charged for 100 students reflects the cost per student + a 'fixed cost' that applies to the order as a whole.
100 * 6 = $600, so the fixed cost is 750-600 = 150.
We can check this notion by substituting in the other equation.
Does 150*6 + 150 = 1050? Yes.
150*6=900
900+150 = 1050.
Slide 3.
Part A.
She can choose either band, with $9.75 per ticket, if 200 students attend
Part B.
Check the cost using band A and 200 people, including food
600 + 150 + (6*200) =
600 + 150 + 1200 = $1950
Cost per ticket: = 1950/200 = $9.75
Cost using band B, 200 people, including food:
350 + 1.25(200) + 150 + (6*200) =
350 + 250 + 150 + 1200 = $1950
Cost per ticket: 1950/200 = $9.75
This means that Paula can choose either band, and the ticket cost will be the same.
Slide 4.
Part A.
Cost per ticket: $8.50 (of Band A, since it is the cheaper one)
Part B.
Check the cost using band A and 300 people, including food
600 + 150 + (6*300) =
600 + 150 + 1800 = $2250
Cost per ticket: = 2250/300 = $8.50
Cost using band B, 200 people, including food:
350 + 1.25(300) + 150 + (6*300) =
350 + 375 + 150 + 1800 = $2675
Cost per ticket: 2675/300 ≈$8.92
Which means that in this scenario is Band A is less expensive.
help middle school question!!!
Answer:
The shaded region has an area of 1400 square units
Step-by-step explanation:
Area of Compound Shapes
We are given a shape and it's required to calculate its area. The shape can be divided into three rectangles as shown in the figure attached below.
The lengths of these rectangles are x, y, and z.
The value of x can be calculated as:
x = 60 - 15 - 10 = 35
Similarly:
y = 60 - 15 = 45
z = y = 45
The first rectangle has dimensions of x by 10, thus its area is:
A1 = 35*10 = 350
The second rectangle has dimensions of 60 by 10:
A2 = 60*10 = 600
The third rectangle has dimensions y by 10:
A3 = 55*10 = 450
The shaded area is:
A = 350 + 600 + 450 = 1400
The shaded region has an area of 1400 square units
Answer:
1400 square unit
Step-by-step explanation:
The golf course fills large cylinder-shaped containers with drinking water and
places them along the course. The containers are 27 inches tall and have a
diameter of 14 inches. A gallon is 231 cubic inches.
14 inches
27 inches
Which of the following best represents the volume of the water container in
gallons?
Answer:
37
\
Step-by-step explanation:
50 - [ 7 + ( 3^(2) / 2 ) ]
Step by step please
Answer:
evaluation : 38.5 38.5 is the answer because you simplify this term
Step-by-step explanation:
-1/2x+3y=-3 in slope intercept form
Answer:
Step-by-step explanation:
Y = mx + b
-1/2 x + 3y = -3
3y = 1/2 x -3
y = 1/6 x - 1
Where slope m = 1/ 6and y intercept b = -1
What is the value of 599 x (400+37)?
Answer:
261763
Step-by-step explanation:
599*437
=261763
x + x + y x y
i will give brainilist to the person who is correct
x+x+x+y x y= 2x+y^2
x + x = 2x
y * y = y^2
Answer= 2x + y^2.
Select the correct answer from the drop-down menu.
Find the missing term.
Replace the question mark (?) with
to make the equation true.
Answer:
Step-by-step explanation:
A limnologist takes samples from a creek on several days
and counts the numbers of flatworms in each sample,
The limnologist wants to look at the relationship between
the temperature of the creek and the number of
flatworms in the sample. The data show a linear pattern
with the summary statistics shown below:
mean
standard
deviation
= 10.2
Sx = 2.8
x = creek temperature
(C)
j = 37.6
$y = 30.8
y = number of
flatworms
• = -0.98
Find the equation of the least-squares regression line
for predicting the number of flatworms from the
creek temperature.
Round your entries to the nearest hundredth.
Answer:
y = 147.56 - 10.78x
Step-by-step explanation:
Given :
x = 10.2 ; y = 37.6 ; Sx = 2.8 ; Sy = 30.8 ; r = - 0.98
The regression equation :
y = mx + c
Where ;
m = slope ; c = intercept
Slope = r * (Sy/Sx)
Slope = - 0.98 * (30.8 / 2.8)
Slope = - 0.98 * 11 = - 10.78
To obtain c :
y = mx + c
y - mx = c
37.6 - (-10.78)(10.2) = c
37.6 + 109.956 = c
147.556 = c
Hence, equation becomes :
y = 147.556 - 10.78x
y = 147.56 - 10.78x
Answer:
y = 147.56 + -10.78x
Step-by-step explanation:
