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2 years ago

12

The function h(x) = 2.5x + 20 represents your height in inches, h(x), for x years you have been alive. How many inches tall will

you be when you are 12 years old?
A.49
B.50
C.55
D.45

1 answer:

sveticcg [70]2 years ago

3 0

Answer:

Step-by-step explanation:

B

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Jeanne wants to start collecting coins and orders a coin collection starter kit. The kit comes with three coins chosen at random

lesya692 [45]

Conditional probability is a measure of the probability of an event given that another event has occurred. If the event of interest is A and the event B is known or assumed to have occurred, "the conditional probability of A given B", or "the probability of A under the condition B", is usually written as P(A|B), or sometimes $P_B(A)$ .

The conditional probability of event A happening, given that event B has happened, written as P(A|B) is given by
$P(A|B)= \frac{P(A \cap B)}{P(B)}$

In the question, we were told that there are three randomly selected coins which can be a nickel, a dime or a quarter.

The probability of selecting one coin is $\frac{1}{3}$

Part A:
To find <span>the probability that all three coins are quarters if the first two envelopes Jeanne opens each contain a quarter, let the event that all three coins are quarters be A and the event that the first two envelopes Jeanne opens each contain a quarter be B.

P(A) means that the first envelope contains a quarter AND the second envelope contains a quarter AND the third envelope contains a quarter.

Thus $P(A)= \frac{1}{3} \times \frac{1}{3} \times \frac{1}{3} = \frac{1}{27}$

</span><span>P(B) means that the first envelope contains a quarter AND the second envelope contains a quarter

</span><span>Thus $P(B)= \frac{1}{3} \times \frac{1}{3} = \frac{1}{9}$

Therefore, $P(A|B)=\left( \frac{ \frac{1}{27} }{ \frac{1}{9} } \right)= \frac{1}{3}$

Part B:
</span>To find the probability that all three coins are different if the first envelope Jeanne opens contains a dime<span>, let the event that all three coins are different be C and the event that the first envelope Jeanne opens contains a dime be D.
</span><span>
$P(C)= \frac{3}{3} \times \frac{2}{3} \times \frac{1}{3} = \frac{6}{27} = \frac{2}{9}$

</span><span> $P(D)= \frac{1}{3}$ </span><span>

Therefore, $P(C|D)=\left( \frac{ \frac{2}{9} }{ \frac{1}{3} } \right)= \frac{2}{3}$ </span>

3 0

2 years ago

How do the graphs of the functions f(x) = (3/2)^x and g(x) = (2/3)^x compare?

Pani-rosa [81]

Sample Response: The graphs are reflections of each other over the y-axis. The graph of g(x) shoes exponential decay, while the graph of f(x) shows exponential growth.

6 0

2 years ago

Read 2 more answers

After a number of complaints about its tech assistance, a computer manufacturer examined samples of calls to determine the frequ

icang [17]

Answer:

a) Upper Control Limit = 0.10

Lower Control Limit = 0.01

b) The tech assistance process is stable and in control.

Step-by-step explanation:

Given - After a number of complaints about its tech assistance, a

computer manufacturer examined samples of calls to determine

the frequency of wrong advice given to callers. Each sample

consisted of 100 calls.

SAMPLE 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16

Number of errors 5 3 5 7 4 6 8 4 5 9 3 4 5 6 6 7

To find - a. Determine 95 percent limits.

b. Is the tech assistance process stable (i.e., in control)

Proof -

z = 95% confidence interval

= 1.96

⇒z = 1.96

Proportion of defects,P = total defectives/total observations

= 0.0544

⇒P = 0.0544

Now,

Q = 1-P

= 0.9456

⇒Q = 0.9456

Now,

Average sample size, N = 100

Standard deviation = $\sqrt{\frac{P.Q}{N} }$

= 0.0227

Now,

Upper Control Limit = P + z(Standard deviation)

= 0.0988

⇒Upper Control Limit = 0.0988 ≈ 0.10

And

Lower Control Limit = P - z(Standard deviation )

= 0.0099

⇒Lower Control Limit = 0.0099 ≈ 0.01

∴ we get

Upper Control Limit = 0.10

Lower Control Limit = 0.01

b.)

Now,

it is clear that the fraction defective values are wit in upper an lower control limits.

So, The tech assistance process is stable and in control.

5 0

2 years ago

According to the scatterplot below, which statement is correct?

FinnZ [79.3K]

Answer:

Hey there

Step-by-step explanation:

The input, or independent variable, is years in operation.

Step-by-step explanation:

In an ordered pair (x, y), the independent variable or input is x and y is the dependent variable or the output.

Therefore, the values on x-axis determine the results or output on y-axis.

The ordered pairs (x, y) are:

(1, 11) ⇒ there are 11 enrollees on Year 1

(2, 33) ⇒ there are 33 enrollees on Year 2

(3, 39) ⇒ there are 39 enrollees on Year 3

(4, 58) ⇒ there are 58 enrollees on Year 4

(5, 85) ⇒ there are 85 enrollees on Year 5

Where:

x are values on the x-axis that refers to number of years in operation

y are values on the y-axis that refers to the corresponding numbers of enrollees for each year.

Even without the graph, the correct statements i:

The input, or independent variable, is years in operation.

- brainly user

8 0

1 year ago

Read 2 more answers

a sales associate in a department store earns a commission on each suit and each pair of shoes sold .on week she earned $47 in c

Goshia [24]

Answer:

The sales associate makes 13 dollars for suits and 8 dollars for shoes.

Step-by-step explanation:

you can solve this using the equation

3x+y=47

and

7x+2y+107

7 0

2 years ago