Prove that APQR ~ ASTU

Answer:

65 hot dogs, 96 sodas

Step-by-step explanation:

x + (x + 31) = 161

2x + 31 = 161

2x = 130

x = 65

65 hotdogs

65 + 31 = 96

96 sodas

Answer:

x^2 + 10x - 24 = 0

Step-by-step explanation:

Two zeros are 2 and -12:

So the function is (x-2)(x+12) = 0

<=> x^2 + 12x - 2x - 24 = 0

<=> x^2 + 10x - 24 = 0

Answer:

15 in

Step-by-step explanation:

d^2 = w^2 + l^2

25^2 = 20^2 + l^2

l^2 = 225

l = 15

Answer:

10,597.50 cubic mm

Step-by-step explanation:

V(cone) = [3.14(h)(r²)] ÷ 3

= 3.14(15)(15²) ÷ 3

= 10,597.5

(make them equal to each other)

10x-1 = 14x-37

(combine like terms)

-4x = -36

(divide by -4)

x=9

Hope this helps! Have a good day/night!

Based on the types of compounding and the interest rates, the following are true:

When using simple interest, the amount the group will have is:

= Amount x ( 1 + rate x number of years )

= 600 x ( 1 + 5% x 5)

= $750

When using compound interest, the group will have:

= Amount x ( 1 + rate) ^ Number of years

= 600 x ( 1 + 4%)⁶

= $759.19

In conclusion, compound interest yields more.

Find out more about compound interest at https://brainly.com/question/25263325.

Using the hypergeometric distribution, it is found that there is a 0.0002 = 0.02% probability that 4 of those containers are the same flavor.

The flavors are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability of choosing all containers of one flavors is P(X = 4).

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 4) = h(4,52,5,4) = \frac{C_{4,4}C_{48,1}}{C_{52,5}} = 0.000018469[/tex]

13 x 0.000018469 = 0.0002

0.0002 = 0.02% probability that 4 of those containers are the same flavor.

A similar problem is given at https://brainly.com/question/25743676

The probability that 4 of those containers are the same flavor is 0.02% and this can be determined by using the Hypergeometric distribution.

Given :

The probability according to the Hypergeometric distribution is given by:

[tex]\rm P(X=x) = h(x,N,n,k)=\dfrac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]     --- (1)

where the total number of successes is 'x', population size is 'N', the sample size is 'n', and the total number of desired outcomes is 'k'.

Now, substitute the values of known terms in the expression (1).

[tex]\rm P(X=4) = h(4,52,5,4)=\dfrac{C_{4,4}C_{48,1}}{C_{52,5}}[/tex]

[tex]\rm P(X=4) =0.000018469[/tex]

Now, multiply the above result by 13.

[tex]13\times 0.000018469=0.0002[/tex]

So, the probability that 4 of those containers are the same flavor is 0.02%.

For more information, refer to the link given below:

https://brainly.com/question/23017717

Answer:

13.84

Step-by-step explanation:

Answer:

13.84

Step-by-step explanation:

 im always here to help...

20x=400-100

20x=300

x= 300/20

15 rounds she played

Answer:

C

Step-by-step explanation:

brainliest pls

Answer:

its option B

Step-by-step explanation:

Answer:

the answer is d

Step-by-step explanation:

Answer:

A good way to know how to solve a problem like this is to look at the units. Here we have miles per hour (65 miles/hour) and hours (5 hours) and we want to find X miles. So take a look at the units:

(Miles/hour) * (hours) = miles

So we can just plug in the values…

65 * 5 = 325

Whenever I get confused by a question like this I always try to remember that the word "per" just means divided by. So mph = miles/hour. And from there the algebra is pretty simple.

Another tip, your physics professor will always be tickled if at the end of your answer you list some of the assumptions you made like this: "assuming the car is traveling at a perfectly constant rate without stopping."

Answer:

65

Step-by-step explanation:

If a car drives 65 miles in an hour, they would travel 65 miles in one hour. The equation for this would be 65x, with x representing the number of hours driven.

0.1 of 1/10 is...10.

Answer: 1

Step-by-step explanation:

0.1 is 1/10 of the number 1

Brainliest please? Im trying to get to Virtuoso

Step-by-step explanation:

I've been a substitute for a few day for College students so the answer is y equal s x2-5x+2

Answer:

on the way there she was going at 25 km/hr

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

D would be the answer:) hope this helps

Answer:

$2,710.64

Step-by-step explanation:

Divide 43,720 by 100 so you know how many groups of 200s you have. Because it's 6.20 for each 100.

437.2

Do 6.20 times 437.2 to get your answer.

$2,710.64

Answer: ok we will help

Step-by-step explanation:

he need our help

Answer:

3.14 or pi

Step-by-step explanation:

the area of a circle = [tex]pi * r^{2}[/tex] where r is the radius of the circle

this is 1/4 of the circle, so it would be 1/4 (pi * r²)

it shows that the radius is 2, so you have

1/4 ( pi * 2²)

= 1/4 ( pi * 4 )

= 1/4 (3.14 * 4)

= 3.14 units²

Answer:

A: 150+(45•p)

B: 125+(50•p)

Step-by-step explanation:

You multiply the monthly fee by a letter representing an unknown number because we dont know how many months you are staying with each company and we add the one time fee because you are only paying once, so in conclusion you add the one time fee to the result of  the monthly fee by how many months.

Answer:

50 dollars.

Step-by-step explanation:

19 x 25= 475

1,425 - 475= 950

950 divided by 19 is 50.

Answer:

the answer is C

Step-by-step explanation:

40,000/.80 = 50,000

50,000 x .10 = 5,000

50,000 - 5,000 = 45,000

45,000 x .06 =2700

45,000 + 2,700 = 47,700

Answer:

All of them are equal to 2.427

Step-by-step explanation:

A = 2.427

B = 2.427

C = 2.427

D = 2.427

Step-by-step explanation:

-3x + 3y = 27

-x + y = 9

y = x + 9

so the y-intercept is 9 (y value when x =0).

and as point (0, 9)

the x-intercept is the x value when y = 0 :

0 = x + 9

x = -9

and as point (-9, 0)