What is 20% of $10

Complete the square and put this function in vertex form: f(x)=x^2+20x+97

Fofino [41]

Answer:

Step-by-step explanation:

f(x)=(x²+20x+100) -3 because : 97 = 100 - 3

f(x) = (x+10)² -3 ....vertex form

3 0

3 years ago

Andy bought 4.85 meters of cord. The cord cost 98¢ per meter. He also purchased 9.6 meters of copper wire. It cost $1.29 per met

laiz [17]

The correct answer 2.86

3 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

2 years ago

Which ordered pair maximizes the objective function p = 3x 8y? (0, 0) (2, 7) (5, 6) (8, 1)

Degger [83]

The ordered pair maximizes the objective function p = 3x + 8y will be (5, 6) .Option C is correct.

<h3>What is the objective function?</h3>

The objective function is simply an equation that represents the goal production capability that relates to maximizing profits in relation to manufacturing.

On putting the values we will get the values one by one. We get;

1. (0, 0)

$3 (0)+8(0) = 0$