4500 people attended a football game. If 4% of the people who attended were teenagers, how many teenagers attended the game?

Answer:

C) an open top cone

Step-by-step explanation:

Answer:

92.7 ft

Step-by-step explanation:

Answer:

6/10, simplified 3/5

Step-by-step explanation:

kinda tricky, but the fraction is stated right out.

Answer:

3/5

Step-by-step explanation:

Answer:

0.0022 = 0.22% probability that the sample proportion is greater than than 0.43

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using 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.

Central Limit Theorem

The Central Limit Theorem estabilishes 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 Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Based on historical data, your manager believes that 32% of the company's orders come from first-time customers.

This means that [tex]p = 0.32[/tex]

Mean and standard deviation:

Sample of 146 means that [tex]n = 146[/tex]

[tex]\mu = p = 0.32[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.32*0.68}{146}} = 0.0386[/tex]

What is the probability that the sample proportion is greater than than 0.43?

This is 1 subtracted by the pvalue of Z when X = 0.43. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.43 - 0.32}{0.0386}[/tex]

[tex]Z = 2.85[/tex]

[tex]Z = 2.85[/tex] has a pvalue of 0.9978

1 - 0.9978 = 0.0022

0.0022 = 0.22% probability that the sample proportion is greater than than 0.43

Answer:

Step-by-step explanation:

So, if u put together x and y, it'll make 48 because

the arranged two numbers will go to 9.

Answer:

50+50x

Step-by-step explanation:

they're asking you to use distributive property

so what you have to do is multiply everything that is in the parenthesis by 10

5x10=50

5x10x=50x

so the answer is 50+50x

have a great day :D

========================================================

Explanation:

To get this answer, we multiply the outer term 10 by each term inside

I'm using the distribution rule or distributive property. So that's why (5+5x)10 is the same as 50+50x

We could arrange the terms to get 50x+50 if you wanted.

--------------------------

Extra info (optional section):

Let's say that instead of 10, we had a smaller value like 2

(5+5x)2 would mean we have two copies of (5+5x) added together

So we'd have (5+5x)+(5+5x) = (5+5)+(5x+5x) = 10+10x

Then note how the distributive property says

(5+5x)*2 = 5*2+5x*2 = 10+10x

This is one example that helps us see how the distributive property is correct.

Answer:

7.5

Step-by-step explanation:

a - (2a-1)/a

--------------------

(1-a)/3a

Multiply the top and bottom by 3a

a - (2a-1)/a              3a

-------------------- * ---------------

(1-a)/3a                     3a

3a *a - (2a-1)*3a/a

------------------------

          (1-a)/3a *3a

Simplify

3a *a - (2a-1)*3

------------------------

          (1-a)

3a^2 - 6a+3

------------------------

          (1-a)

Factor

3( a^2 -2a+1)

-----------------------

-(a-1)

3(a-1)^2

---------------

-(a-1)

Cancel like terms

-3(a-1)

Letting a = -1.5

-3( -1.5-1)

-3 (-2.5)

7.5

Answer:

one solution

Step-by-step explanation:

5x - 30 = 3x + 60

2x - 30 = 60

2x = 90

x = 45

Answer:

21

Step-by-step explanation:

Trust

The value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.

It is defined as the four-sided polygon in geometry having four edges and four corners and two pairs of congruent sides.

We have:

In the diagram below, O is circumscribed about quadrilateral ABCD.

In a quadrilateral, the sum of the opposite angles is equal to 180 degree

5x + 75 = 180

5x = 105

x = 21

Thus, the value of x is 21 because, in a quadrilateral, the sum of the opposite angles is equal to 180 degrees. option (A) is correct.

Learn more about the quadrilateral here:

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Answer: easy is 6/5

Step-by-step explanation:

Here why 3/2 times 4/5

Answer and explaination:

a. 28

12/3=4

4*7=28

b. 9

21/7=3

3*3=9

Answer:

3,750cm²

Step-by-step explanation:

Total surface area of a cube is expressed as;

A = 6L²

L is the side length of the cube;

Given

L = 25cm

TSA = 6 (25)²

TSA = 6 * 625

TSA = 3,750cm²

Hence the total surface area of the box is 3,750cm²

Answer:

2.0986814e+29

Step-by-step explanation:

Answer:

what

Step-by-step explanation:

punch your calculator to find out

even the calculator might not give u the exact value

Answer: oh that's ava

Step-by-step explanation: ;w; I still don't know them-

Answer:

816

Step-by-step explanation:

also hazzy you can talk to me *hugs him* UwU dis ish toga btw

Answer:

yes you're right :)

Step-by-step explanation:

you have to use the pythogram therom for this

a² + b² = c²

20² + 10² = c²

400 + 100 = c²

c = √500

Answer:

option 4

[tex]2 x + 3 = y [/tex]

2 (1)+3=5

2 (2)+3=5

and so on and so on

Answer:

y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for x. The y-intercept is -6.

Your Answer;

❀♡ 12 x 24 + 4 x 13 = 340 ♡❀

Answer:

340

Step-by-step explanation:

Answer:

s = 7 degrees

Step-by-step explanation:

All the angles have to add up to 180, so take 180 - 90 - 54 (the angles you know), and set them equal to 4s + 8. You get 36 = 4s + 8, subtract 8 from both sides, divide by 4, and you get that s = 7 degrees

Hopefully this helps! Let me know if you have any questions

Answer:

If America paid 3% interest for a year

At simple interset ,

FV = Pv(1 + it)

FV = Future value

Pv = present value

i = interest rate

t= time

FV = Pv(1 + it)

    = $3900( 1+ 0.03 x 5)

      = $4485

FV = PV + interest

FV - PV =  interest

$4485 - $3900 = interest

interest = $585

Step-by-step explanation:

Answer:

Scale Factor is 2.5

Step-by-step explanation:

Answer:

-24

Step-by-step explanation:

18, 12, 8, 4, 0, -4, -8, -12, -18, -24

You are going down by 4 so by the time you get to the 10th term it will be a negative.

Answer:

157.2

Step-by-step explanation:

delta math

Answer:

The second box

Step-by-step explanation:

The volume of a pyramid can be given by the formula:  V=31​Ah. Where.  A:  Area of the V=(1/3)(B)(h)

multiply both sides by 3

3V=Bh

divide both sides by B

3V/B=h

Therefore, If it is wider it has more space to carry more items such as macaroni.

Answer:

The answer is C) 160 in2

Step-by-step explanation

Easy!

5x5=25

8x5=40x4=160

The surface area of the square pyramid is, A. 80 in².

A three-dimensional figure is a pyramid. Its base is a flat polygon. The remaining faces are all triangles and are referred to as lateral faces.

The number of sides on its base is equal to the number of lateral faces. The line segments that two faces intersect to form its edges. The intersection of three or more edges forms a vertex.

The given figure is a pyramid having a square base.

The pyramid also has four triangular faces, each having a base of 5 in and a height of 8 in.

Therefore, the surface area of the pyramid is,

= 4[(1/2)×5×8] square inches.

= 80 in².

learn more about pyramids here :

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Answer:

1-P(z<1.4)

Step-by-step explanation:

Trust me the answer is 1-P(z<1.4).

BTW the thing between 1 and P is a minus sign

Answer:

B. 1-P(z<1.4)

8%

B. 26%

Step-by-step explanation: