After all tryouts are completed, the school will be hosting a party for all the new athletes. At the party, hot dogs and hamburgers will be provided to all athletes and their guests, if they choose to bring a guest. The ratio of hot dogs purchased to number of guests is 1:0.8. Determine how many hot dogs you would need if 150 people attend the party. Explain how you found your answer.

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 .

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:

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:

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.

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:

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:

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

The ratio of the fraction in the simplest form is 24 /5.

Fractions are non integers. They are made up of and denominators. An example of a fraction is 2/3. 2 is the numerator and 3 is the denominator.

In order to express in the simplest form, divide both the numerator and denominator by similar factors.

96 : 20 = 96/20 = 24/5

To learn more about fractions, please check: https://brainly.com/question/1114498

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:

Surds

√3×√3 =3

3√6 × 4√6 =12 × 6= 72

(2√7)²=(2√7)(2√7)=4+2√7+2√7+7=4√7 +11

√5 ×√5 ×√5 =5√5

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.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ2

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:

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

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:

correct

Step-by-step explanation:

Yes.

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

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.

Learn more about division on:

https://brainly.com/question/25289437

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

Step-by-step explanation:

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:

Answer:

The answer is D.

Step-by-step explanation:

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:

Any value greater than -9 and less than -3

Step-by-step explanation:

Explained and uploaded

Answer:

A

Step-by-step explanation:

Sum of angles in a straight line is 180°

180° - 64° = 116°

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:

https://brainly.com/question/18571772

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:

2.24

Step-by-step explanation:

Well...Ummm I don't know how to exactly explain it but I'll try

11 x 2.24=24.64 or you can do division and do 24.64 divided by 2.24=24.64

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:

30

Step-by-step explanation:

Use PEMDAS

parentheses is first

3+7=10

There's no exponents

You have to do it in order from left to right

6÷2=3

3*10=30

Answer:

The answer is 30.

First, start with 3 plus 7...that gives you 10. Then, 6 divided by 2 is 3. Lastly, multiply 10 by 3 and you've got 30!

If you can, please mark me brainliest!

Answer:

Answer is in the image

HOPE IT HELPS, BE SAFE KIDDO :3

Answer:

B

Step-by-step explanation:

The answer is B 19%.

Answer:

b.19%

Step-by-step explanation:

hope this will help you