use the distributive property to fill in the blanks below


4 × (8 + 3) = ( × 8) + × 8) + (x3)​

Using the Central Limit Theorem, it is found that:

a) The shape is approximately normal.

b) It targets the population mean.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the sampling distribution is also approximately normal, as long as n is at least 30.

Item a:

The variable is skewed, however, the sample size is greater than 30, hence the approximate shape of the distribution is normal.

Item b:

According to the mean of the sampling distributions, given by the Central Limit Theorem, it targets the population mean.

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Answer: 30% of the blend is pineapple juice

Step-by-step explanation:

Since 7 pineapples yield 12 oz of juice, 1 pineapple yields 1 5/7 oz of juice.

Since 4 apples yield 16 oz of juice, 1 apple yields 4 oz of juice.

She’s making a pineapple-apple juice where the ratio of apples and pineapples used is 1:1. To find what percent of the blend is pineapple juice:

1 apple to 1 pineapple. The combined amount of juice they produce is 5 5/7 oz. The formula to find what percent of teh blend is pineapple juice is oz of pineapple juice divided by the combined amount of juice in the blend.

1 5/7 divided by 5 5/7 equals 3/10, or 30%.

The fraction of the blend that is pineapple and apple gives the

percentage that is pineapple.

Response:

Amount of juice extracted from 7 pineapples = 12 ounces

Amount of juice extracted from 4 apples = 16 ounces

Therefore;

The amount of juice from 1 apple = [tex]\frac{16}{4}[/tex] ounces

Which gives;

The amount of juice from 1 pineapple and 1 apple =  [tex]\frac{12}{7}[/tex] + 4 = [tex]\frac{40}{7}[/tex] = [tex]5\frac{5}{7}[/tex]

The percentage of pineapple juice is therefore;

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Answer: 4(2x+3)

Step-by-step explanation:

The greatest common factor in the two terms is 4.

Therefore, by factoring out a 4 we get

4(2x+3)

Hi!

The formula for volume is length * width * height

We are given the area of the base of the figure and the height.

The volume for area is length * width

That means that the length * width part of the volume formula is already done, so we just have to multiply that by the height.

[tex]3 \frac{3}{8}[/tex] * [tex]2[/tex]

[tex]6 \frac{6}{8}[/tex] [tex]= 6\frac{3}{4}[/tex]

For other volume-related questions, see:

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We know that:

If L and B are multiplied, they will find the area of the base.

This means that:

Substitute the area of base of rectangular prism in the volume formula.

Substitute the height in the volume formula.

You can further solve this in two methods. You can use any of them.

Convert the mixed fractions into improper fraction.

Multiply the fractions

Convert the volume into mixed fraction:

Break 3 3/8 into smaller parts:

Simplify the distributive property:

Likewise, you can use any method, it will give the same result.

~If you have questions about my answer, don't hesitate to post it in the comments~

Hoped this helped!

Answer:

A

Step-by-step explanation:

Sum of angles in a straight line is 180°

180° - 64° = 116°

Answer:

Any value greater than -9 and less than -3

Step-by-step explanation:

Explained and uploaded

Answer:

12/4. & 22/5

Step-by-step explanation:

3 2/4 you have to multiply 3x4 which equals to 12 then you add 2. your answers is 14 but you need to keep the denominator 4. your final answer is 12/4. this is the improper fraction. you do the same to 4 2/5.

Answer:

correct

Step-by-step explanation:

Yes.

You multiply both 5 and 16 by the same number, 2, to get 10/32.

An expression for x in terms of a and b is y = b - 2x and an expression for y in terms of a and b is y = 2a - b.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A system of equations x + y = a and 2x + y = b.

Now,

x + y = a.

x = a - y and y = a - x.

2x + y = b.

2x = b - y.

x = (b - y)/2.

y = b - 2x.

An expression for x in terms of a and b is,

x + y = a

x + b - 2x = a.

- x = a - b.

x = b - a.

An expression for y in terms of a and b is,

2(a - y) + y = b.

2a - 2y + y = b.

2a - y = b.

- y = b - 2a.

y = 2a - b.

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#SPJ2

Given :-

To Find :-

Solution :-

Here a equation is given to us and we need to find out the slope of the line . The given equation is ,

→ y = -1/2x + 1/4

We know that slope intercept form of the line is ,

→ y = mx + c

where m is the slope of the line .

On comparing ,

→ m = -1/2

Hence the slope of the line is -1/2.

I hope this helps .

Answer:

● Whats point slope formula

[tex]➢ \: formula = y - {y}^{1} = m \: (x - {x}^{1} \\ y = coordinate \: of \: second \: point \\ {y}^{1} \: coordinate \: of \: point \: one \\ m = slope \\ x = coordinate \: of \: second \: point \\ {x}^{1} = coordinate \: of \: point \: one.[/tex]

[tex]TextFromYourMrEx[/tex]

#CarryOnLearning

Hi!

I can help you with joy! :)

Remember, point-slope form

[tex]\rm{y-y1=m(x-x1)[/tex]

Where

y1 is the y-coordinate of the point

m is the slope

x1 is the x-coordinate of the point

Hope it helps!

Enjoy your day!

[tex]\bf{erutaNtneliS[/tex]

Answer:

r e^iT = r cos T + i r sin T

r cos T = -1

r sin T = sqrt 3

30, 60 90 triangle in second quadrant r = 2, T = 180-60 = 120

so

2e^120i

foruth root is 2^.25 e^(120/4)i

2^.25 e^30 i

2^.25 ( cos 30 + i sin 30)

Step-by-step explanation:

Step-by-step explanation:

Hope this helps you......

[tex] \displaystyle{ \blue{ \frak{DisneyPrincess29}}}[/tex]

Answer:

Breadth = 9 cm

Explanation:

area of the square:

→ 12²

→ 144 cm²

use the formula to find area of rectangle:

using the formula:

→ length * breath = 144

→ 16 * breadth = 144

→ breadth = 144/ 6

→ breadth = 9 cm

Step-by-step explanation:

a² = a × a

a > 1

a² = (1+d) × (1+d) = 1² + 2d + d²

with d > 0

since d > 0, then so is 2d and also d².

so, a² is the sum of 1² = 1 and something greater than 0.

so, a² > 1

Answer:

equation: 2(Y-7) = 9

Answer:

Step-by-step explanation:

b² = a² + c² - 2ac × cos (m∠B)

b² = 105² + 9² - 2(9)(105)cos65°

b ≈ 101.5

Answer:

16 oatmeal cookies

Step-by-step explanation:

We can represent this situation as an equation.

Step 1: Add 7 to both sides.

Therefore, Lisa baked 16 oatmeal cookies.

Answer:

  B.  -75

Step-by-step explanation:

Consider segments AC and A'C'. Point A' is clockwise from point A by an amount less than 90°. Positive angles are measured counterclockwise, so this suggests the angle of rotation is about -75°.

__

In the attached, we have used the invariant point on segments AC and A'C' as the vertex of the angle we want to measure. The angle between the lines appears to be about 75°, matching the answer choices.

Answer:

7*-5+2(-5+5)=-35

9*-5+10=-35

7*2+2(2+5)=28

9*2+10=28

Step-by-step explanation:

when plugging the x values in, you get the same answer for both equation, make the equation equal.

Answer:

6(b + 20) ≥ 26

Step-by-step explanation:

6(b + 20) ≥ 26

Answer:

6(b + 20) ≥ 26

b ≥ -15 2/3

Step-by-step explanation:

6(b + 20) ≥ 26

6b + 120 ≥ 26

6b ≥ -94

b ≥ -15 2/3

Based on the division computed, the number of packages is 63 and there will be a remainder of 3.

From the question, we are informed that Evan has 381 bagels to put into packages and that each package must hold 6 bagels.

The number of packages will be:

= 381/6

= 63 packages

It should also be noted that there will be a remainder of 3 bagels left.

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Answer: The number of packages is 63 and there will be a remainder of 3

Step-by-step explanation:

Separate the variables:

[tex]y' = \dfrac{dy}{dx} = (y+1)(y-2) \implies \dfrac1{(y+1)(y-2)} \, dy = dx[/tex]

Separate the left side into partial fractions. We want coefficients a and b such that

[tex]\dfrac1{(y+1)(y-2)} = \dfrac a{y+1} + \dfrac b{y-2}[/tex]

[tex]\implies \dfrac1{(y+1)(y-2)} = \dfrac{a(y-2)+b(y+1)}{(y+1)(y-2)}[/tex]

[tex]\implies 1 = a(y-2)+b(y+1)[/tex]

[tex]\implies 1 = (a+b)y - 2a+b[/tex]

[tex]\implies \begin{cases}a+b=0\\-2a+b=1\end{cases} \implies a = -\dfrac13 \text{ and } b = \dfrac13[/tex]

So we have

[tex]\dfrac13 \left(\dfrac1{y-2} - \dfrac1{y+1}\right) \, dy = dx[/tex]

Integrating both sides yields

[tex]\displaystyle \int \dfrac13 \left(\dfrac1{y-2} - \dfrac1{y+1}\right) \, dy = \int dx[/tex]

[tex]\dfrac13 \left(\ln|y-2| - \ln|y+1|\right) = x + C[/tex]

[tex]\dfrac13 \ln\left|\dfrac{y-2}{y+1}\right| = x + C[/tex]

[tex]\ln\left|\dfrac{y-2}{y+1}\right| = 3x + C[/tex]

[tex]\dfrac{y-2}{y+1} = e^{3x + C}[/tex]

[tex]\dfrac{y-2}{y+1} = Ce^{3x}[/tex]

With the initial condition y(0) = 1, we find

[tex]\dfrac{1-2}{1+1} = Ce^{0} \implies C = -\dfrac12[/tex]

so that the particular solution is

[tex]\boxed{\dfrac{y-2}{y+1} = -\dfrac12 e^{3x}}[/tex]

It's not too hard to solve explicitly for y; notice that

[tex]\dfrac{y-2}{y+1} = \dfrac{(y+1)-3}{y+1} = 1-\dfrac3{y+1}[/tex]

Then

[tex]1 - \dfrac3{y+1} = -\dfrac12 e^{3x}[/tex]

[tex]\dfrac3{y+1} = 1 + \dfrac12 e^{3x}[/tex]

[tex]\dfrac{y+1}3 = \dfrac1{1+\frac12 e^{3x}} = \dfrac2{2+e^{3x}}[/tex]

[tex]y+1 = \dfrac6{2+e^{3x}}[/tex]

[tex]y = \dfrac6{2+e^{3x}} - 1[/tex]

[tex]\boxed{y = \dfrac{4-e^{3x}}{2+e^{3x}}}[/tex]

Answer:

Answer is in the image

HOPE IT HELPS, BE SAFE KIDDO :3

Answer:

A. E bisects AB and CD

Step-by-step explanation:

If E is a bisector, it creates two pairs of congruent sides. The included angles are congruent because they are vertical angles. The triangles will be congruent by SAS.

Answer:

Step-by-step explanation:

X would be adults Y would be children

3x+3y=35

2x+4y=25

One of the variables have to be equal to each other. So multiply all the terms in the bottom equation by 1.5

You get 3x+6y=37.5

Subtract one equation from another

3x+3y=35

3x+6y=37.5

You get 3y=2.5

Divide both sides by 3
y = 5/6

Now do the same but for X

Multiply the equation by 4/3

4x+4y=46 2/3

Minus the other equation

2x=21 2/3

Divide by 2

x = 10 5/6

Plug numbers in to double check, and they check out

Answer:

D.

I hope it's help:))))))))))))))

Answer:

The answer is D.

Step-by-step explanation:

The maximum height the ball will reach is 7.6 ft.

The maximum height attained by the projectile is calculated as follows;

v² = u² - 2gh

where;

0 = u² - 2gh

2gh = u²

[tex]h = \frac{u^2}{2g} \\\\h = \frac{10^2}{2(32.2)} \\\\h = 1.6 \ ft[/tex]

Thus, the maximum height the ball will reach = 1.6 ft + 6ft = 7.6 ft.

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