Please answer this asap

If f(x)=3x^2 and g(x)=4x^3, what is the degree of (f*g)(x)?

Westkost [7]

3x^2 * 4x^3 = 12x^5

Answer is degree 5

3 0

2 years ago

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In a Calculus class, there are 11 freshman and 15 sophomores; 5 of the sophomores are females,

KATRIN_1 [288]

Answer:

61.5%

Step-by-step explanation:

Let's find all the demographics first:

Sophomores in the class(total 15):

Female: 5

Male : 10

Freshmen in the class(total 11):

Female: 3

Male: 8

There are 11 freshmen(male and female) and 5 female sophomores. Thus, the probability of choosing one of these 16 people in a class of 26 is 16/26 or 61.5%.

4 0

2 years ago

Solve the following equations for x -11=3-7(x-1)

lesya692 [45]

Answer:

x = 21/8

Step-by-step explanation:

Step 1: Write equation

x - 11 = 3 - 7(x - 1)

Step 2: Solve for x

Distribute -7: x - 11 = 3 - 7x + 7

Combine like terms: x - 11 = 10 - 7x

Add 7x on both sides: 8x - 11 = 10

Add 11 on both sides: 8x = 21

Divide both sides by 8: x = 21/8

3 0

2 years ago

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For the 405 highway that car pass through a checkpoint, assume the speeds are normally distributed such that μ= 61 miles per hou

Strike441 [17]

Answer:

$Z = 1$

Step-by-step explanation:

Z - score

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 problem, we have that:

$\mu = 61, \sigma = 4$