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3 years ago

How is the graph of y=4(2x-3 translated from the graph of y=4(2)^x?

Mathematics

1 answer:

inn [45]3 years ago

6 0

I assume you mean <span>y=4(2)^x-3, it is translated down 3</span>

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A yoga studio sells monthly memberships. The function f(x) = −x2 + 50x − 264 models the profit in dollars, where x is the number

Keith_Richards [23]

Answer:

x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made.

Step-by-step explanation:

f(x) = −x² + 50x − 264

−x² + 50x − 264 = 0

-x² + 44x + 6x - 264 = 0

-x(x - 44) + 6(x - 44) = 0

(x - 44)(-x + 6) = 0

x = 6, 44

4 0

3 years ago

Triangle ABC is similar to triangle DEF. Find the value of side length DE. Side length DE is cm.

Art [367]

Answer:

??? I can't see the picture

Step-by-step explanation:

5 0

2 years ago

1. En una biblioteca quieren comprar una computadora que

miss Akunina [59]

Answer:

678.74

that might be the question since I don't really understand what it says really

8 0

2 years ago

Sam has 4/5 ounces of butter in his refrigerator. If it takes 1/8 ounces to make a cupcake, how many cupcakes can Sam make?

Grace [21]

4/5 divided by 1/8
= 4/5 x 8/1
32/5
= 6.4 cupcakes or 6 cupcakes if they’re looking for a whole number

7 0

3 years ago

A simple random sample of size nequals81 is obtained from a population with mu equals 83 and sigma equals 27. (a) Describe the

Ivanshal [37]

Answer:

a) $\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

b) $z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

c) $z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

d) $z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

Step-by-step explanation:

For this case we know the following propoertis for the random variable X

$\mu = 83, \sigma = 27$

We select a sample size of n = 81

Part a

Since the sample size is large enough we can use the central limit distribution and the distribution for the sampel mean on this case would be:

$\bar X \sim N (\mu, \frac{\sigma}{\sqrt{n}})$

With:

$\mu_{\bar X}= 83$

$\sigma_{\bar X}=\frac{27}{\sqrt{81}}= 3$

Part b

We want this probability:

$P(\bar X>89)$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 89 we got:

$z= \frac{89-83}{\frac{27}{\sqrt{81}}}= 2$

$P(Z>2) = 1-P(Z$

Part c

$P(\bar X$

We can use the z score formula given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And if we find the z score for 75.65 we got:

$z= \frac{75.65-83}{\frac{27}{\sqrt{81}}}= -2.45$

$P(Z$

Part d

We want this probability:

$P(79.4 < \bar X < 89.3)$

We find the z scores:

$z= \frac{89.3-83}{\frac{27}{\sqrt{81}}}= 2.1$

$z= \frac{79.4-83}{\frac{27}{\sqrt{81}}}= -1.2$

$P(-1.2$

8 0

3 years ago