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3 years ago

Consider function fbelow.

Mathematics

1 answer:

Anon25 [30]3 years ago

4 0

Answer:

Step-by-step explanation:

For this case we have a function of the form:

f (x) = 4 ^ x-6

We want to move the graph five units up.

Therefore, the new function is given by:

g (x) = f (x) +5

Substituting we have:

g (x) = 4 ^ x-6 + 5

Rewriting the function:

g (x) = 4 ^ x-1

Answer:

The new function is given by:

g (x) = 4 ^ x-1

option C

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Suppose that grade point averages of undergraduate students at one university have a bell-shaped distribution with a mean of 2.5

iris [78.8K]

Answer:

By the Empirical Rule, 99.7% of the students have grade point averages that are between 1.28 and 3.8.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed(bell-shaped) random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 2.54

Standard deviation = 0.42.

Between 1.28 and 3.8?

1.28 = 2.54 - 3*0.42

So 1.28 is 3 standard deviations below the mean

3.8 = 2.54 + 3*0.42

So 3.8 is 3 standard deviations above the mean

By the Empirical Rule, 99.7% of the students have grade point averages that are between 1.28 and 3.8.

5 0

3 years ago

Read 2 more answers

What is the area of a circle? The answer is A=πr2, but I want you to show the work.

Cerrena [4.2K]

Answer:

the area of a circle is A= πr²

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2 years ago

Slove : 28/36 = 14/y

Dafna1 [17]

Answer:

y = 18

Step-by-step explanation:

<h3>i) reduce the fraction with 4</h3>

$\frac{28}{36} = \frac{14}{y}$

$\frac{28 \div 4}{36 \div 4} = \frac{14}{y}$

$\frac{7}{9} = \frac{14}{y}$

<h3>ii) simplify the equation with cross multiplication</h3>

$\frac{7}{9} = \frac{14}{y}$

$7y = 14 \times 9$

$7y = 126$

<h3>iii) divide both sides of the equation by 7</h3>

$\frac{7y}{7} = \frac{126}{7}$

$y = 18$

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3 years ago

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Please help! 4^x*5^y=20, 4^y*5^x=20^2, x+y=?

photoshop1234 [79]

Answer:

x + y are either 2 or 4

Step-by-step explanation:

conclusion x + y = 2 OR 4

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3 years ago

The polygons are similar, but not necessarily drawn to scale. Find the scale factor. Find the value of x. Find the value of y.

Tatiana [17]

Answer:

x = 5

y = 9

Step-by-step explanation:

Since the scale is 2, the side of x needs to 4 because the corresponding side on the other figure is 2 (2 * 2 = 4).

So, x - 1 = 4

x = 5

Similar to the y side, the y side needs to be 10.

So, y + 1 = 10

y = 9

3 0

3 years ago