Answer:
First, you want to solve the equation with her formula. We know the three consecutive odd numbers that add up to 75 are 23, 25, and 27. Megha seems to use 25 as x, so the first one is x-2. 25-2 = 23. The last one is 27-2=25. She has framed the equation correctly because when it comes to odd and even numbers, we skip the even numbers by 1 to get the odd number. Odd : 1, 3, 5. We skip the even numbers and add 2 everytime, so Megha used this to find the correct answer.
The graph of y = x2 + 11x + 24 is equivalent to the graph of which equation?
y = (x + 8)(x + 3)
y = (x + 4)(x + 6)
y = (x + 9)(x + 2)
y = (x + 7)(x + 4)
Ax^2 +Bx + C
x^2 +11x +24
Using the number in place of C gives us what values could be inside the brackets.
For 24 the multiples are
1 and 24
2 and 12
3 and 8
4 and 6
We want the one that can add or subtract to give the number in place of B, which is 11.
The only multiples that add to 11 are 3 and 8
Therefore we know that 8 and 3 need to be in the brackets.
Giving us (x+8)(x+3)
Xavier buys 18 bottles of orange juice at the corner store for a total cost of $14.04. If each bottle costs the same amount, how much is each bottle of juice?
The cost of each bottle of orange juice is 0.78 dollars.
How to find the cost of each bottle of orange juice?Xavier buys 18 bottles of orange juice at the corner store for a total cost of $14.04. Each bottle costs the same amount.
Therefore, the cost of each bottle of orange juice can be found as follows:
cost of each bottle of orange juice = total cost of the whole orange juice / number of orange juice bought
cost of each bottle of orange juice = 14.04 / 18
Therefore,
cost of each bottle of orange juice = $ 0.78
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The equation P=3s represents the perimeter P of an equilateral triangle with side length s. What is the perimeter of an equilateral triangle with side length 6 mi ?
The Perimeter of equilateral triangle with side length 6 mi is given by 18 meter.
Given the equation is, P = 3s
where P is the perimeter of equilateral triangle with side length of s.
Now given that the side length of triangle is 6 mi.
So, s = 6 mi
Thus, the perimeter of such triangle is, P = 3*6 = 18 mi.
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What is the 41st term of the sequence 8, 10, 12, 14,... ?
88
41
322
90
Answer:
Step-by-step explanation:
We will find the 41st term of the given arithmetic sequence is equal to 88.
what is Segment Addition Postulate
The segment addition postulate states that if we are given two points on a line segment, A and C, a third point B lies on the line segment AC if and only if the distances between the points meet the requirements of the equation AB + BC = AC. See Diagram 1 to gain a clearer understanding of this postulate definition.
Remember that a line segment is part of a line bound by two clear end points. It is comprised of a bunch of points between those two end points.
An easier way of stating the segment addition postulate is that if point B lies on line segment AC, then AB + BC will equal AC. That seems pretty simple, does it not?
geometry parallelogram prac.
Answer: Sir would you like me to give you an example to this or answers??
Step-by-step explanation:...
a box contains 12 batteries of which 6 are still working. anne starts picking batteries one at a time from the box and testing them. find the probability that she has to pick 5 batteries in order to find one that works.
The probability that she has to pick 5 batteries in order to find one that works is 5/12.
What is probability?
Probability shows the likelihood of an event happening. it can be calculated by dividing the number of outcomes of an event by the total number of possible outcomes or sample space. Probability is equal to '1' when the event is certain to occur. i.e P =1. It is less than '1' when it is not likely to occur. i.e P< 1
Probability P=no. outcomes/total no. of the possible outcomes
From the question;
No of out comes=5
No. of total possible outcome=12
Therefore probability P= 5/12
P=5/12
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What are 2 things you know about this image???
Answer:
At the beginning, the object has zero speed, and then it begins to accelerate. After accelerating for a time, the object stops accelerating, and its speed remains constant.
Q.57 help me please please pleaseeee
The value of the expression are as follows
30-218How to solve an expression?An algebraic expression consists of unknown variables, numbers and arithmetic operators. It does not contain any equality or inequality symbols.
Let's solve the expression by substituting the actual values of the variables.
a.
5x when x = 6
5x = 5(6) = 30
b.
3y when y = -7
3y = 3(-7) = -21
c.
10z when z = 0.8
10z = 10(0.8) = 8
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A printing error in a math book removed the bracket and parenthee from a numerical expreion rewrit experion 3 to the econd power plu even time four plu five
Rewriting the expression with bracket and parentheses in numerical expression is: [(3^2 + 7) * 4] + 5.
In numerical expression, the brackets and parentheses are mathematical symbols that are used in pairing the group things together or specify the order of operations. These are used in creating or solving equations, helping in grouping numbers and defining the order of operations. Parentheses are curved ( ), brackets are square [ ], and braces are curly { }. In indicating the order of operations, the innermost parentheses are calculated first, followed by the brackets (which form the next layer), followed by braces (which form a third layer outwards).
The given expression written with parentheses and brackets to be equivalent to 69 is:
[(3^2 + 7) * 4] + 5
[(9 + 7) * 4] + 5
[16 * 4] + 5
64 + 5
69
Note: The question is incomplete: The complete question is A printing error in a math book removed the brackets and parentheses from a numerical expression. Rewrite the expression 32 + 7 x 4 + 5 with parentheses so that it is equivalent to 69.
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On the coordinate grid draw the graph of y=2x-3
Use the value of x from -2 to +2
Answer:2x
Step-by-step explanation:
Write the equation of the
line passing through (5,3)
that has a slope of 1/2.
A) Mrs. Reynolds y = 1/2x + 1/2
B) Mr. Preston y = 1/2x + 5/2
C) Coach Taylor y = -1/2x + 11/2
D) Ms. Greene y = 1/2x + 2
E) Mr. Moulden y = -2x + 13
Answer: The correct answer is A) Mrs. Reynolds y = 1/2x + 1/2
Step-by-step explanation:
In the slope-intercept form of y=mx+b, m=the slope of the line
Therefore, y=1/2x + 1/2 has a slope of 1/2
As noted in the graph below, it is the only option listed that also intersects the point (5,3).
if measurements are made on four different days, find the level such that there is probability only 0.02 that the mean glucose level of four test results falls above for shelia's glucose level distribution. what is the value of ?
For the value of L = 144.48, the probability of having L greater than the mean glucose level of Shelia is 0.02.
Here it is given that Sheila's glucose level follows a normal distribution with a mean of 128 mg/dl and a standard deviation of 8 mg/dl
L is the patient's blood test level.
It is given that the probability that the mean glucose level i.e 128 mg/dl is above L is 0.02.
We need to find L
We know
P(128>L) = 0.02
or, 1 - P(128 ≤ L) = 0.02
or, P(128 ≤ L) = 0.98
We know that for any Normal distribution we find the probability by converting it to standard form and then checking the p-value.
P(X < x) = Φ[(x - μ)/σ]
where,
μ = mean
σ = standard deviation
Therefore,
Φ[(L - 128)/8] = 0.98
we see that for a Z score of 2.06,
Therefore we get
(L - 128)/8 = 2.06
or, L - 128 = 16.48
or, L = 128 + 16.48
= 144.48
Therefore, the value of L would be 144.48
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Complete Question
Shelia's doctor is concerned that she may suffer from gestational diabetes (high blood glucose levels during pregnancy). There is variation both in the actual glucose level and in the blood test that measures the level. A patient is classified as having gestational diabetes if the glucose level is above 140 milligrams per deciliter one hour after a sugary drink is ingested. Shelia's measured glucose level one hour after ingesting the sugary drink varies according to the Normal distribution with a mean of 128 mg/dl and a standard deviation of 8 mg/dl. Let L denote a patient's glucose level.
If measurements are made on four different days, find level L such that there is a probability of only 0.02 that the mean glucose level of four test results falls above L for Shelia's glucose level distribution. What is the value of L?
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Denity i meaured in unit of ma per unit of volume. It can be thought of a a unit rate. The ma off a block of aluminum i 9. 45 gram. The volume i 3. 5 cubic centimeter. What i the denity of the aluminum?
The density of the metal will be 2700 kilograms per cubic meter.
The quantity of molecules in a given volume is referred to as density. Kg/m2 is the unit of measurement for density. density is a scalar quantity. Higher densities result in more molecules being present in a given volume. After that, the density is given as,
Volume / Mass equals density.
A chunk of metal weighs 9.45 grams. 3.5 cubic centimeters of volume.
The density of the aluminum is then specified as,
D = 9.45 / 3.5
In grams per cubic centimeter, D = 2.7.
2700 kilograms per cubic meter is the same as D.
The density of the aluminum will be 2700 kilograms per cubic meter.
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Seth's third goal is to join some friends on a trip to see a skateboarding show. The cost of the trip will be $350. How many hours will Seth need to work to afford the trip?
Answer:
is there any other parts to this question if so please give so i can solve
Step-by-step explanation:
Somone please explain how to answer these two questions!
Answer:
b and c
Step-by-step explanation:
Like terms are numbers that have the same variable and/or exponent. You can combine them to simplify equations.
3x+2x+3y-7y=5x-4y
3x and 2x are like terms because they share a variable of x. You can add them which gives you 5x. 3y and -7y are also like terms so they can be combined to make -4y.
2x+1+7x=9x+1
2x and 7x are like terms so they can be added for a sum of 9x.
in a survey, the planning value for the population proportion is 0.35. how large a sample should be taken to provide a confidence interval with a margin of error of ? round your answer up to the next whole number.
The sample size 350 should be taken to provide a 95% confidence interval with a margin of error of 0.05.
According to the statement
We have to find that the sample should be taken to provide a confidence interval with a margin of error.
For this purpose, we know that the
The confidence interval is the probability that a population parameter will fall between a set of values for a certain proportion of times.
And
With the given information
In the survey as
p* = 0.35
confidence interval=95%
E=margin of error = 0.05
and then
[tex]a=(\frac{z}{E} )^{2} *pq[/tex]
and substitute the values
[tex]a=(\frac{1.96}{0.05} )^{2} *0.35*0.65[/tex]
then the sample is 350.
So, The sample size 350 should be taken to provide a 95% confidence interval with a margin of error of 0.05.
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Of all the bolts in a box, 1% are defective. There are 62 defective bolts.
How many bolts in total are in the box
The bolts in total are in the box is 6200
How do percentages work?
percentage is a relative number that is used to represent hundredths of any quantity. Since one percent (1%) equals one hundredth of something, 100 percent denotes the entire amount, and 200 percent denotes twice the amount mentioned.
What use does % serve?
The easiest approach to use percentages is to compare two amounts while setting the second amount's base to 100. Assume for the moment that we are interested in the percentage of women who are working.
Based on the given conditions, formulate: 62 x 100/1
Divide a fraction by multiplying its reciprocal:62 x 100
get the result:6200
Answer: 6200
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There are 3 black markers in a bin. Given the probability that a marker selected at random is black, how many markers are in the box? (use only the digits 0 - 9 to write the value. ).
There are total 18 markers in the box.
What is a expression? What is a mathematical equation? What is Probability?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. The formula to calculate the probability of occurrence of an event 'A' can be written as -
P(A) = n(A)/n(S)
where -
n(A) = Number of outcomes favorable to event A.
n(S) = Total number of outcomes
Given is that there are 3 black markers in a bin. The probability that a marker selected at random is black is -
P(black marker) = 1/6
Assume that there are [x] markers in the box. Then, we can write -
P(black marker) = 3/x
1/6 = 3/x
x = 18
Therefore, there are total 18 markers in the box.
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Select the number that would make this statement true: 542.9 ÷ ________ = 5.429
Answer:
The correct answer would be 100.
Step-by-step explanation:
542.9 divided by 5.429, would be 100.
Therefore, the correct answer is 100.
Answer:
100
Step-by-step explanation:
[tex]\frac{542.9}{5.429}[/tex] = 100
Check
[tex]\frac{542.9}{100}[/tex] =
Three of five baseketball players scored more than 10 points. What percent of the players scored more than 10 points?
60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
Three of the five basketball players scored more than 10 points.
Total number of basketball players = 5
The number of players who scored more than 10 points = 3
In fraction:
= 3/5
= 0.6
To convert the above fraction into the percentage multiply it by 100:
= 0.6x100
The percent of the players scored more than 10 points = 60%
Thus, 60 percent of the players scored more than 10 points if three of the five basketball players scored more than 10 points.
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What is the slope of a trend line that passes through the points (1, 3) and (10, 25)?
15
2
O
O
O
0
2
22
24
By using the concept of slope, it is obtained that
Slope of the required trend line is [tex]\frac{22}{9}[/tex]
What is slope of a line?
Slope of the line is the tangent of the angle that the line makes with the positive direction of x axis
If the angle is [tex]\theta[/tex], the slope of the line is given by
[tex]m = tan\theta[/tex]
If the line passes through ([tex]x_1, y_1[/tex]) and ([tex]x_2, y_2[/tex]), then the slope of the line is given by
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
The line passes through (1, 3) and (10, 25)
[tex]x_1 = 1, y_1 = 3, x_2 = 10, y_2 = 25[/tex]
Slope = [tex]\frac{y_2 - y_1}{x_2 - x_1}\\[/tex]
= [tex]\frac{25 - 3}{10 - 1}[/tex]
= [tex]\frac{22}{9}[/tex]
Slope of the required trend line is [tex]\frac{22}{9}[/tex]
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Manny and Ada pool their money from a fundraiser. Manny raised 7 dollars less than twice what Ada raised.
Manny made $45 more than Ada. If the amount that Ada raised is represented by a then which of the following equations correctly models the information given?
During the fundraiser, Ada made $52.
How would you define a fundraiser?
An occasion for raising money for a cause, charity, or non-profit group is known as a fundraising event (also known as a fundraiser).
Which one has two variables in a linear equation?
Therefore, a linear equation in two variables is any equation that can be written in the form ax + by + c = 0, where a, b, and c are real values, and a and b are not equal to zero.
Given specifications:
We must approach this issue methodically if we are to find a solution.
Let Manny's fundraising total equal M.
Ada's fundraising total = A
Let's now proceed sentence by sentence through the issue and explain it algebraically;
Ada raised more money ($7) than Manny did.
Algebraically;
M = 2A - 7 ——- (I)
Ada earned $45 less than Manny did.
M = A + 45 ——- (II)
Now that two equations have been established, we may equalize them and find A;
2A - 7 = A + 45
2A - A = 45 + 7
A = 52
During the fundraiser, Ada made $52.
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solve for x 48= x/2 Simplify your answer as much as possible.
x⁴⁸ = x/2
Multiply to remove the fraction, then set equal to
0
and solve.
Exact Form:
x
=
0
,
1
47
√
2
Decimal Form:
0,0.98536040
A circular arc has measure and is intercepted by a central angle of radians. Find the radius of the circle. Do not round any intermediate computations, and round your answer to the nearest tenth.
A circular arc has measure and is intercepted by a central angle of radians.
The radius (r) of circle is 1.91 m
Here given data :
• circular arc (s) = 5 cm
• Angel (A) = 5π/6
We know that the following formula is,
Length arc = radius × angel
=> Radius (r) = Length / angel
=> Radius (r) = 5 m / (5π /6)
=> Radius (r) = ( 5 × 6 / 5π ) m
=> Radius (r) = 6/π m
=> Radius (r) = 1.91 m
Therefore, radius of the circle is 1.91 m.
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What is the y-intercept of the line 6x – 9y = 18?
(0, -2)
(0, 3)
(3, 0)
(-2, 0)
Answer:
(0, -2)
Step-by-step explanation:
What is the y-intercept of the line 6x – 9y = 18?
(0, -2)
(0, 3)
(3, 0)
(-2, 0)
You need to solve for y:
6x – 9y = 18
6x – 9y - 6x = 18 - 6x
– 9y = 18 - 6x
– 9y/-9 = 18/-9 - 6x/-9
y = - 2 + 2/3x
or:
y = 2/3x - 2
y-intercept is: (0 , -2)
Answer:
(0, - 2 )
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
6x - 9y = 18 ( subtract 6 from both sides )
- 9y = - 6x + 18 ( divide through by - 9 )
y = [tex]\frac{2}{3}[/tex] x - 2 ← in slope- intercept form
with y- intercept c = - 2 , that is (0, - 2 ) in coordinate form
What is the absolute value of a BI?.
The distance between the complex plane's origin (0, 0) and the point (a, b) is what is known as the absolute value of a complex number, a+bi (also known as the modulus).
What is absolute value?Without taking into account direction, absolute value defines how far a number is from zero on the number line. A number's absolute value can never be negative. Look at some illustrations. 5 is the sum of its absolute values. There are 5 units between 5 and 0. A number's absolute value is determined by how far it is from zero on the number line. For instance, the absolute value of -7 would be 7, as it is 7 units away from zero. Additionally, since 0 is 7 units distant, the value of 7 would likewise be 7.
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how much will $2000 grow at 8% p.a. compound interest after 4 years?
Answer:
$1,480.24
Step-by-step explanation:
An investment of $1,000 made today will be worth $1,480.24 in five years at interest rate of 8% compounded semi-annually.
Jessica bought 5 yards of fabric, plus 20% extra fabric. Derek bought 3 yards of fabric, plus 25% extra. Who bought more fabric? How much more?
Find the perimeter and area of the triangle.
The perimeter = yds. The area = yd2
Step-by-step explanation:
perimeter:
74 + 74 + 48 = 196 yd
area:
48/2=24
√74^2+√24^2 = 77.79 (2dp)
77.79 x 48 = 3734.14
3734.14/2=1867.07yd^2
