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Tom [10]
2 years ago
9

F(-1)=-3 and g(-1)=5

Mathematics
1 answer:
valentinak56 [21]2 years ago
7 0

Answer:

What do you have to do what is the question asking


Step-by-step explanation:


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Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. They are considering a promotion that in
Zina [86]

Answer:

Step-by-step explanation:

Assuming that:

the promotion will be considered to be a  success if more than 10% use the coupons received.

and coupons are sent to 100 credit card customers.

Then, the null hypothesis and alternative hypothesis is:

\mathbf{H_o:p\le 0.10} \\ \\ \mathbf{H_a:p> 0.10}

sample size n = 100

Using the eagle file data;

the no of people in the sample who use the coupon = 13

then,

\hat p = \dfrac{x}{n}

\hat p = \dfrac{13}{100}

\hat p = 0.13

Test statistics can be computed as:

Z = \dfrac{\hat p - p }{\sqrt{\dfrac{p(1-p)}{n}}}

Z = \dfrac{0.13 - 0.10 }{\sqrt{\dfrac{0.10(1-0.10)}{100}}}

Z = \dfrac{0.03 }{\sqrt{\dfrac{0.09}{100}}}

Z = \dfrac{0.03 }{\sqrt{0.0009}}

Z = \dfrac{0.03 }{0.03}

Z = 1

P-value = P(Z > 1) \\ \\ P-value = 1 - P(Z < 1 ) \\ \\ P-value = 1 - 0.8413 \\ \\ P-value = 0.1587 \\ \\

At ∝ = 0.05

Since, P-value is greater than ∝, then we fail to reject \mathbf{H_o}.

Therefore, Eagle should not go with the promotion; a larger sample should be taken.

3 0
2 years ago
A company manufactures light bulbs. The lifetime for these bulbs is 4,000 hours with a standard deviation of 200 hrs. What lifet
Gnom [1K]

Answer:

<u>The company should promote a lifetime of </u><u>3589 hours</u><u> for these bulbs, so that only 2% of them burnout before the claimed lifetime.</u>

Step-by-step explanation:

Consider the lifetime of light bulbs is normally distributed. Then, μ = 4000 hours and σ = 200 hours.

Let X be the lifetime of bulbs. We need to find the lifetime before which only 2% (0.02) of the bulbs burn out. Suppose the value of this lifetime is y. then, we need to find out P(X<y) = 0.02.

We will use the z-score formula:

<u>z = (x-μ)/σ</u>

P(X<y) = 0.02

P((X-μ)/σ < (y-μ)/σ) = 0.02

P(z < (y-4000)/200) = 0.02

We can find the value of z at which the probability is 0.02 from the normal distribution (areas under the normal curve) table.

From the table we can see that 0.02 lies between z values -2.05 and -2.06. So,

z = [-2.05 + (-2.06)]/2

  = -4.11/2

z = -2.055

So,

(y-4000)/200 = -2.055

y-4000 = -411

y = 4000 - 411

y = 3589 hours

<u></u>

<u>The company should promote a lifetime of </u><u>3589 hours</u><u> for these bulbs, so that only 2% of them burnout before the claimed lifetime.</u>

3 0
3 years ago
50 points HELPP QUICK which picture shows the line of reflection?
Viefleur [7K]

Answer:

D

Step-by-step explanation:

it reflects

3 0
2 years ago
Read 2 more answers
Find the polynomial p(x) with roots 1+i and 1-i
Law Incorporation [45]
Required root is p(x) = (x - (1 + i))(x - (1 - i)) = (x - 1 - i)(x - 1 + i) = x^2 - x + ix - x + 1 - i - ix + i + 1 = x^2 - 2x + 2

P(x) = x^2 - 2x + 2
4 0
3 years ago
Mark's model train can go 1/3 laps around its track in 2 minutes. If it runs at the same
kirza4 [7]

Answer:

(3 laps / minute) (9 minutes) = 27 laps

Step-by-step explanation:

3 0
2 years ago
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