In the equation 16y=64-48. what is the next step in solving sequence?

The equation 9t = 27.99 models a constant rate situation. Drag and drop the value of 5t in the box. 5t = 3.11 15.55 18.99 36.99

JulsSmile [24]

5t = 15.55. Here's why:

Since in the equation 9t = 27.99 is basically multiply two numbers to get a product, divide 27.99 by 9:

27.99/9 = 3.11

3.11 is the value of t. So now that we've found the value of t, plug it into the equation 5t like so:

5*3.11 = 15.55

I hope this helped you out! :)

7 0

2 years ago

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Find the GCF of each pair of monomials. 1). 20, 45x

Helga [31]

20 and 45x

We look for a number that can go into both numbers.

5 into 20 is 4 and 5 into 45x is 9x.

5: 20 45x

4 9x

So no other number can go into 4 and 9x again.

So the GCF of 20 and 45x is 5.

Hope this explains it.

8 0

2 years ago

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Evaluate (42)(43)(8-3) 2 .

Dafna1 [17]

Answer: 18060

Step 1

1806(8−3)(2)

Step 2

(1806)(5)(2)

Step 3

(9030)(2)

6 0

2 years ago

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See You Later Based on a Harris Interactive poll, 20% of adults believe in reincarnation. Assume that six adults are randomly se

REY [17]

Answer:

a) There is a 0.15% probability that exactly five of the selected adults believe in reincarnation.

b) 0.0064% probability that all of the selected adults believe in reincarnation.

c) There is a 0.1564% probability that at least five of the selected adults believe in reincarnation.

d) Since $P(X \geq 5) < 0.05$ , 5 is a significantly high number of adults who believe in reincarnation in this sample.

Step-by-step explanation:

For each of the adults selected, there are only two possible outcomes. Either they believe in reincarnation, or they do not. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

In this problem we have that:

$n = 6, p = 0.2$

a. What is the probability that exactly five of the selected adults believe in reincarnation?

This is P(X = 5).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 5) = C_{6,5}.(0.2)^{5}.(0.8)^{1} = 0.0015$

There is a 0.15% probability that exactly five of the selected adults believe in reincarnation.

b. What is the probability that all of the selected adults believe in reincarnation?

This is P(X = 6).

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 6) = C_{6,6}.(0.2)^{6}.(0.8)^{0} = 0.000064$

There is a 0.0064% probability that all of the selected adults believe in reincarnation.

c. What is the probability that at least five of the selected adults believe in reincarnation?

This is

$P(X \geq 5) = P(X = 5) + P(X = 6) = 0.0015 + 0.000064 = 0.001564$

There is a 0.1564% probability that at least five of the selected adults believe in reincarnation.

d. If six adults are randomly selected, is five a significantly high number who believe in reincarnation?

5 is significantly high if $P(X \geq 5) < 0.05$

We have that

$P(X \geq 5) = P(X = 5) + P(X = 6) = 0.0015 + 0.000064 = 0.001564 < 0.05$

Since $P(X \geq 5) < 0.05$ , 5 is a significantly high number of adults who believe in reincarnation in this sample.

5 0

1 year ago

A customer service survey was conducted of 500 customers: 250 men and 250 women. The data on one of the questions show that 175

Evgen [1.6K]

Answer:

a) 70%, 64%, 67%

Step-by-step explanation:

Total customers surveyed = 500

Number of men = 250

Number of women = 250

Number of men who rated the customer service excellent = 175

Number of women who rated the customer service excellent = 160

Total number of customers who rated the customer service excellent = $175+160 =335$

Percentage of men who rated the customer service excellent

⇒ $\frac{\textrm{Number of men who rated excelent}}{\textrm{Total number of men}}\times 100$

⇒ $\frac{175}{250}\times 100$

⇒ 70%

Percentage of women who rated the customer service excellent

⇒ $\frac{\textrm{Number of women who rated excelent}}{\textrm{Total number of men}}\times 100$

⇒ $\frac{160}{250}\times 100$

⇒ 64%

Percentage of customers who rated the customer service excellent

⇒ $\frac{\textrm{Number of customers who rated excelent}}{\textrm{Total number of men}}\times 100$

⇒ $\frac{335}{500}\times 100$

⇒ 67%

So, the correct order is : 70%, 64%, 67% (Answer)

5 0

1 year ago