The data represents the body mass index​ (BMI) values for 20 females. Construct a frequency distribution beginning with a lower class limit of 15.0 and use a class width of 6.0. 17.7. 33.5. 26.6 24.7
28.8. 23.8. 18.3. 22.1
19.2. 22.6. 22.7. 38.9
27.3. 44.9. 32.2. 23.9

Answer:

A) p = 0.230139

B) p = 0 .00001

There is not enough evidence to show that fewer DVDs a month than high school students

Step-by-step explanation:

A) The correct hypothesis are;

Null hypothesis;H0: μ = 50

Alternative hypothesis;H1: μ ≠ 50

We are given;

Sample mean; x' = 49

Standard deviation; σ = 5

Sample size;n = 36

Formula for the test statistic is given by;

z = (x' - μ)/(σ/√n)

z = (49 - 50)/(5/√36)

z = -1.2

So, from online p-value calculator from z-values as attached, using z-score of -1.2, significance level of 0.05, two tailed, we have;

p = 0.230139

B) we are given ;

x = 5.80

μ = 6.5

n = 33

Standard deviation;σ = 0.6

Significance level = 0.05

Hypotheses are;

Null hypothesis;H0: μ = 6.5

Alternative hypothesis; μ < 6.5

So, formula for the test statistic again;

z = (x' - μ)/(σ/√n)

z = (5.8 - 6.5)/(0.6/√33)

z = -6.7

from online p-value calculator z-values as attached, using z-score of -6.7, significance level of 0.05, one tailed tailed, we have;

p = 0 .00001

This is less than the significance level of 0.05, thus we will reject the null hypothesis and conclude that there is no evidence to show that fewer DVDs a month than high school students

Answer:

C/r

Step-by-step explanation:

The ratio of the circle's circumference to its radius is 2π

Please find attached a diagram of a circle and its radius

A circle is a two dimensional figure bounded by one curved line. All the straight lines that are drawn from a certain point within it to the bounding line, are equal.

The radius of a circle is the distance from the center of a circle to its circumference.

The radius of a circle is represented by r

The circumference of a circle is the perimeter of a circle. It is the distance round a circle.

The formula for the circumference of a circle is 2πr

π = pi = 22/7

r = radius

A ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s).

The ratio of a circle's circumference to its radius is

2πr : r

Divide both sides of the equation by r

= 2π : 1

= 2π

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Answer: $14,912.5

Step-by-step explanation:

given data:

thomas salary in 2017 = $68,000

exemption = $8,350

solution:

thomas taxable income

= salary in 2017 - tax exemptions

= $68,000 - $8350

= $59,560

federal income tax = 25%

= 0.25 * $59,560

= $14,912.5

thomas Owe’s $14,912.5 in federal Income tax at the end of the year.

Answer:

34

Step-by-step explanation:

[tex]6 + 15(5 - 3) + (9 - 4) - 7\\6 + 15(2) + 5 - 7\\6 + 30 + 5 - 7\\36 + 5 - 7\\41 - 7\\34[/tex]

Use PEMDAS, order of operations.

First work out the Parenthesis, then any Exponents, then Multiplication, then Division, then Addition and finally, Subtraction, from left to right.

Step-by-step explanation:

When two letters are right next to each other, you multiply them. Since a and b are next to each other, we multiply them together.

[tex]A=\frac{5}{12}[/tex]

[tex]B=\frac{1}{3}[/tex]

To multiply fractions, you place them next to each other and multiply across.

[tex]\frac{5}{12}*\frac{1}{3} \\5*1=5\\12*3=36[/tex]

Our final answer:  [tex]\frac{5}{36}[/tex] (we cannot simplify it any further)

Answer:

A

Step-by-step explanation:

12x + 32 = 12x - 7

12x - 12x + 32 = 12x - 12x - 7

32 = -7

This is a false statement so the answer is A) 0.

Additionally, you can see that we have the quantity 12x on both sides but on one side, it's being added by 32 and on the other, it's being subtracted by 7. How can a quantity added by 32 be equal to the same quantity subtracted by 7? It is impossible for a real number to do so, therefore, the answer is 0.

Answer:

Hey there!

Original Equation: 12x+32=12x-7

Subtract 12x: 32=-7

32 does not equal -7, so there is no solution.

Hope this helps :)

Answer:

5

Step-by-step explanation:

A turning point is the point where a graph changes from increasing to decreasing or decreasing to increasing.

Count up the points and there are 5!

Answer:

See below.

Step-by-step explanation:

[tex]-2x+x=-x[/tex]

because we combine like terms. You will essentially ignore the x and just do -2 + 1, which is -1. So, the answer would be -1x which is simply just -x.

To see why we can combine like terms, use the distributive property. So we have:

[tex]-2x+x[/tex]

This is the same thing as saying:

[tex]=(-2)x+(1)x[/tex]

Factor out the x:

[tex]=x(-2+1)[/tex]

Add:

[tex]=x(-1)[/tex]

And simplify:

[tex]=-1x\\=-x[/tex]

Answer:

Step-by-step explanation:

-2x + x could also be written as x - 2x, which is x(1 - 2), or -x.  Here we can rearrange the terms as we wish (commutative property).

Answer:

731.355

Step-by-step explanation:

875.230 - 143.875 = 731.355

apples       rotten       fresh

Answer:$47.50

Step-by-step explanation:First you need to find how much she earns per hour or the unit rate by dividing the money she earned (28.50) by the hours she worked(6) which equals to $4.75.Then you take that number and multiply it by the 10 hours which equals $47.50.

Answer:

The minimum width of the placemat is 10 inches.

Step-by-step explanation:

Let suppose that placemat has a square form, whose width must be at least equal to the diameter of the pizza, so that pizza does not touch the table. Hence, the following relationship is obtained:

[tex]w = D[/tex]

Where:

[tex]w[/tex] - Width of the placemat, measured in inches.

[tex]D[/tex] - Diameter of pizza, measured in inches.

The area of the pizza, measured in square inches, is determined by this formula:

[tex]A = \frac{\pi}{4} \cdot D^{2}[/tex]

The diameter is cleared afterwards:

[tex]D = \sqrt{\frac{4\cdot A}{\pi} }[/tex]

If [tex]A = 78.5\,in^{2}[/tex] and [tex]\pi = 3.14[/tex], then:

[tex]D = \sqrt{\frac{4\cdot (78.5\,in^{2})}{3.14} }[/tex]

[tex]D = 10\,in[/tex]

The minimum width of the placemat is 10 inches.

The minimum width of a placemat that can be placed underneath the pizza so that the pizza wouldn't touch the table is; 10 inches

We are told that the pizza has an area of 78.5 in². Thus;

A = 78.5 in²

Now, the pizza is circular in shape and the minimum width of a placemat that can be placed underneath the pizza so that the pizza wouldn't touch the table will be the diameter of the pizza

Thus, area of a circle with diameter d is;

A = πd²/4

Plugging in the relevant values, we have;

78.5 = 3.14d²/4

d² = 78.5 × 4/3.14

d² = 100

d = √100

d = 10 inches.

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Answer:

Step-by-step explanation:

[tex]\frac{3.3}{-2}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\=-\frac{3.3}{2}\\\\\mathrm{Divide\:the\:numbers:}\:\\\frac{3.3}{2}=1.65[/tex]

Answer:

42

Step-by-step

do it backward starting from 8

Answer:

42

Step-by-step explanation:

Answer:

7. 3x + 6 = 3x + 10

8. 3x + 6 = x + 2(x + 3)

Step-by-step explanation:

7.

To write an equation with no solutions, we write an equation in which the x terms are eliminated, and we end up with a false statement when we try to solve the equation.

Start with

3x + 6 =

This means: take a number, x, multiply it by 3, then add 6 to it.

To make it into an impossible equation, take the same number x, multiply it by 3, and now add 10 instead of 6. The same number x, multiplied by 3 just like above, and now with 10 added to it cannot equal 3x + 6.

Let's write the equation and try to solve it.

3x + 6 = 3x + 10

Subtract 3x from both sides.

6 = 10

Since 6 = 10 is a false statement, there is no solution.

8.

Now we need an equation that is true for every value of x.

We start with 3x + 6 on the left side.

3x + 6 =

To make it true for every value of x, which means it has an infinite number of solutions, we write an expression on the right side that is the same as 3x + 6, just written in a different form.

For example, start with

3x + 6

Separate 3x into x + 2x, now you have

x + 2x + 6

Now factor 2 out of 2x + 6, so you get

x + 2(x + 3)

The expression x + 2(x + 3) is equal to the expression 3x + 6. Now we use x + 2(x + 3) on the right side of the equation we are writing. We get:

3x + 6 = x + 2(x + 3)

Let's solve this equation.

Distribute on the right side.

3x + 6 = x + 2x + 3

Combine like terms on the right side.

3x + 6 = 3x + 6

Subtract 6 from both sides.

3x = 3x

Subtract 3x from both sides.

0 = 0

0 = 0 is a true equation. Therefore, the equation 3x + 6 = x + 2(x + 3) has infinitely many solutions. in other words, every real number is a solution of the equation.

When the line of reflection occurs simultaneously with a line of symmetry for a polygon or shape, the shape will be able to reflect onto itself

Hope this helps

When the line of reflection occurs simultaneously with a line of symmetry for a polygon or shape, the shape will be able to reflect onto itself.

Reflective symmetry is a type of symmetry where one-half of the object reflects the other half of the object. It is also known as mirror symmetry. For example, in general, human faces are identical on the left and right sides. The wings of most butterflies are identical on both sides, the left and right sides.

Triangles with reflection symmetry are isosceles. Quadrilaterals with reflection symmetry are kites, (concave) deltoids, rhombi, and isosceles trapezoids. All even-sided polygons have two simple reflective forms, one with lines of reflections through vertices, and one through edges.

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Answer:

Water flow per week = 124 liters

Step-by-step explanation:

Given:

Water flow in 9.5 hours = 7 liters

Find:

Water flow per week

Computation:

Water flow per hour = 7 / 9.5

Hours in a week = 7 × 24 = 168 hours

Water flow per week = Hours in a week × Water flow per hour

Water flow per week = 168 × [7 / 9.5]

Water flow per week = 123.7894

Water flow per week = 124 liters

Answer:

-8-495-18x

Step-by-step explanation:

-8-9(55)-9(2x)

-8-495-18x

Answer:

Step-by-step explanation:

For two events A and B to be independent, it means they can occur at the same time i.e the occurrence of one does not affect the other occurring. It is represented as P(A∩B) = P(A)P(B)

Given P( A) = 0.60 and P( A| B) = 0.60, to find P(B), we will use the formula for the conditional probability P( A| B) = P(A∩B) /P(B)

P( A| B) = P(A)P(B) /P(B)

P( A| B) = P(A)

Since  P( A| B) = 0.60, therefore P(A) is also equal to 0.60 and P(B) cannot be determined since they cancelled out already

Answer:

bfc = 64, afb = 126

Step-by-step explanation:

I solved in the picture

Hope this helps ^-^

Since Lydia studied for 5 days

Then it will be 5*15=75 minutes in 5 days

Answer:

True

Step-by-step explanation:

I just did a whole essay about thin in Geometry and I got an A.

Hope this helps! （づ￣3￣）づ╭❤～

Answer: 4

Step-by-step explanation:

Let the consecutive integers be x, x+1 and x+2.

There are three consecutive integers such that twice the sum of the smallest and the largest is eight more than twice the largest. This means that:

2(x + x+2) = 2(x+2) + 8

2(2x + 2) = 2x + 4 + 8

4x + 4 = 2x + 12

Collect like terms

4x - 2x = 12 - 4

2x = 8

x = 8/2

x = 4

The smallest integer in the sequence is 4

Answer:

[tex] \frac{2}{3} \times 2 \\ = \frac{4}{3} [/tex]

omitir

Step-by-step explanation:

_________________

Answer:

Both works will be repeated at 840km

Step-by-step explanation:

Given

Fills Petrol = Every 84km

Change Mobil = Every 120km

Required

Determine the distance where both works are done at the same time

This solution to this question is to solve for the LCM of 84 and 120

Start by factoring 84

[tex]84 = 2 * 2 * 3 * 7[/tex]

Then, 120

[tex]120 = 2 * 2 * 2 * 3 * 5[/tex]

Then the LCM is as follows;

[tex]LCM = 2 * 2 * 2 * 3 * 5 * 7[/tex]

[tex]LCM = 840[/tex]

Hence, both works will be repeated at 840km

Answer:

$133.40

Step-by-step explanation:

First you have to find 15% of 29 which is 4.35. The way I figured this out was 10% of 29 is 2.9 and 5% of 29 is 1.45 and 2.9 + 1.45 = 4.35.

Then you want to add 4.35 to 29 which equals 33.35, her new hourly pay. Multiply 33.35 by the 4 hours she is working and you end up with $133.40.

Answer:

y= 5.99(g) + 6.49(u)

Step-by-step explanation:

1) First you determine the variable in the equation $5.99, $6.49, g, and u.

2) Then analyze the equation and identify that each gold baseball trophy (g) is worth $5.99, and each uniform baseball trophy (u) is worth $6.49 each.

3) Since you are finding the total you insert a plus sign.

The expression that could represent the total cost of all of the trophies will be C = 5.99g + 6.49u

Cost of gold baseball trophies = $5.99

Cost of uniform baseball trophies = $6.49

Number of gold baseball trophies ordered = g

Number of uniform baseball trophies ordered = u

Therefore, the total cost will be:

= (5.99 × g) + (6.49 × u)

C = 5.99g + 6.49u

Therefore, the expression that could represent the total cost of all of the trophies is C = 5.99g + 6.49u

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Answer:

-4x^4-6x^3-8x^2-24x

Step-by-step explanation:

[tex]\left(2x^2+4x\right)\left(-2x^2+x-6\right)\\[/tex]

distribuir parênteses

[tex]=2x^2\left(-2x^2\right)+2x^2x+2x^2\left(-6\right)+4x\left(-2x^2\right)+4xx+4x\left(-6\right)[/tex]

Aplicar regras de menos mais ;[tex]+\left(-a\right)=-a[/tex]

[tex]=-2\times\:2x^2x^2+2x^2x-2\times\:6x^2-4\times\:2x^2x+4xx-4\times\:6x[/tex]

simplificar

[tex]-2\times\:2x^2x^2+2x^2x-2\times\:6x^2-4\times\:2x^2x+4xx-4\times\:6x:\\\quad -4x^4-6x^3-8x^2-24x[/tex]

Answer:

Clarissa needs a 95

Step-by-step explanation:

4 x 82.5 = 330

Keep trying numbers to see if they work

330 + 95 = 425

425 / 5 = 85