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2 years ago

FIRST CORRECT ANSWER WILL GET BRAINLIEST

Mathematics

1 answer:

vredina [299]2 years ago

6 0

Answer:

Step-by-step explanation:

The relationship between the function values can be found by evaluating the functions.

The order of operations tells us we must first evaluate g(3).

g(x) = -3x +15

g(3) = -3(3) +15 = 6

Then we can evaluate f(x) for x=6:

f(x) = 7x

f(6) = 7(6) = 42

So, the composition is ...

f(g(3)) = 42

As above, we must first evaluate f(3):

f(3) = 7(3) = 21

Then we can evaluate g(x) for x=21:

g(21) = -3(21) +15 = -63 +15 = -48

That means the composition is ...

g(f(3)) = -48

<h3>Comparison</h3>

The first is greater than the second.

42 > -48

f(g(3)) > g(f(3))

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Help pleaseeeeeeeeee

sergij07 [2.7K]

9514 1404 393

Answer:

47 -6√10

Step-by-step explanation:

As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.

(a -b)² = a² - 2ab + b²

(√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²

= 2 - 6√10 + 3²(5)

= 47 -6√10

<em>Check</em>

√2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals

(√2-3√5)² ≈ 28.02633

47 -6√10 ≈ 28.02633

5 0

3 years ago

The lengths of pregnancies are normally distributed with a mean of days and a standard deviation of days. a. Find the probabilit

Alik [6]

Answer:

a) The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

b) We have to find X when Z has a p-value of $\frac{a}{100}$ , and X is given by: $X = \mu - Z\sigma$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

Mean $\mu$ , standard deviation $\sigma$

a. Find the probability of a pregnancy lasting X days or longer.

The probability of a pregnancy lasting X days or longer is given by 1 subtracted by the p-value of $Z = \frac{X - \mu}{\sigma}$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

b. If the length of pregnancy is in the lowest a%, then the baby is premature. Find the length that separates premature babies from those who are not premature.

We have to find X when Z has a p-value of $\frac{a}{100}$ , and X is given by: $X = \mu - Z\sigma$ , in which $\mu$ is the mean and $\sigma$ is the standard deviation.

8 0

3 years ago

Does this table represent a function? Why or why not?

ivanzaharov [21]

In order to be a function, every x-value must correspond to only one y-value.

Answer: D

3 0

3 years ago

Read 2 more answers

in a game involving a pair of fair dice a player rolls the dice until he gets a sum of 7 let z equal the number of rolls it take

Anarel [89]

Answer:

z = 36 rolls , probability for getting 7 = 1/6