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3 years ago

Identify the exponent in the following number: 2^5 A. 2 B. 5 C. 16 D. 32

Mathematics

1 answer:

Sophie [7]3 years ago

4 0

Answer: 5

Explanation: This type of algebraic expression is called a power.

Here, 2 represents the base and the represents the exponent.

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A firm’s marketing manager believes that total sales for next year will follow the normal distribution, with a mean of $3.2 mill

klasskru [66]

Answer:

The sales level that has only a 3% chance of being exceeded next year is $3.67 million.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

In millions of dollars,

$\mu = 3.2, \sigma = 0.25$

Determine the sales level that has only a 3% chance of being exceeded next year.

This is the 100 - 3 = 97th percentile, which is X when Z has a pvalue of 0.97. So X when Z = 1.88.

$Z = \frac{X - \mu}{\sigma}$

$1.88 = \frac{X - 3.2}{0.25}$

$X - 3.2 = 0.25*1.88$

$X = 3.67$

The sales level that has only a 3% chance of being exceeded next year is $3.67 million.

7 0

3 years ago

Shane bought lunch for $5.38 and a shirt for $15.95. He then used the rest of his money to buy a book. He spent a total of $38.1

barxatty [35]

You add $5.38 & $15.95, which equals $21.33. Then subtract $21.33 from $38.12. Your answer is $16.79. That's how much Shane spent on the book.

7 0

3 years ago

What is the constant of proportionality y/x if y=40 and x=1

Anastasy [175]

The c.o.p would be 40

7 0

3 years ago

Suppose the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an in

zepelin [54]

Answer:

average yearly salary of an individual whose final degree is a masters: $ 66 thousand

average yearly salary of an individual whose final degree is a bachelors: $ 56 thousand

Explanation:

You can set a system of equation using the following steps:

1. Name the variables:

average yearly salary of an individual whose final degree is a masters: x

average yearly salary of an individual whose final degree is a bachelors: y

2. Set the equations that relate the variables:

the average yearly salary of an individual whose final degree is a masters is $46 thousand less than twice that of an individual whose final degree is a bachelors:

equation (1): x = 2y - 46

combined, two people with each of these educational attainments earn $122 thousand:

equation (2): x + y = 122

3. Solve the system:

x = 2y - 46 . . . equation (1)

x + y = 122 . . . equation (2)

Substitute equation (1) into equation (2)

2y - 46 + y = 122

Solve for y:

3y = 122 + 46

3y = 168

y = 168 / 3

y = 56 (this means that the average yearly salary with a bachelors degree is $ 56 thousand).

Subsitute the value on y in equation 1, to find the value of x:

x = 2y - 46 = 2(56) - 46 = 112 - 46 = 66.

Thus, the average yearly salary of a person with a masters degree is $ 66 thousand.

4 0

3 years ago

If the Circumference of a circle is 12 cm, what is the circles Diameter? Please help thankss!

BARSIC [14]

Answer:

Step-by-step explanation:

Circumference = πd = 12

d = 12/π cm

5 0

3 years ago