What is the equivalent algebraic expression of " 5 less than four times a number x " ?

The height of sunflowers is Normally distributed with mean 50 inches and standard deviation 8 inches. Use your calculator's stat

Llana [10]

Answer:

7.57

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.

The height of sunflowers is Normally distributed with mean 50 inches and standard deviation 8 inches.

This means that $\mu = 50, \sigma = 8$

Percent of all sunflowers that are between 35 and 40 inches tall.

As a proportion, this is the pvalue of Z when X = 40 subtracted by the pvalue of Z when X = 35. So

X = 40

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

$Z = \frac{40 - 50}{8}$

$Z = -1.25$

$Z = -1.25$ has a pvalue of 0.1057

X = 35

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

$Z = \frac{35 - 50}{8}$

$Z = -1.88$

$Z = -1.88$ has a pvalue of 0.03

0.1057 - 0.03 = 0.0757

As percent: 0.0757*100% = 7.57%

4 0

3 years ago

On a typical long distance call you talk for 30 minutes. On a typical local call you talk for 10 minutes. Your phone company off

klio [65]

The number of long distance calls to be made can be obtained by linear programming

To minimize the phone bill, the number of long distance call to be made is none

Reason:

Maximum number of number of long distance calls = 15

Maximum number of local calls = 30

Number of minutes of calls to make each month = 240 minutes

Duration of each long distance call = 30 minutes

Duration of each local call = 10 minutes

Cost of long distance call = $0.08

Cost of local call = $0.03

Solution:

Let X, represent the number of long distance calls, and let Y represent the number local calls

The objective function is given as follows;

P = 0.08·(30)·X + 0.03·(10)·Y

P = 2.4·X + 0.3·Y

The constraints are;

X ≥ 0

Y ≥ 0

X ≤ 15

Y ≤ 30

30·X + 10·Y ≥ 240

Solving we have;

Y ≥ 24 - 3·X

The above inequality can be plotted with MS Excel

From the objective function, P = 2.4·X + 0.3·Y, the coefficient of the long

distance calls, X is larger than the coefficient of the local calls Y, therefore,

making the minimum possible number of long distance calls of 0, and 24

local calls will give a cost;

P = 2.4 × 0 + 0.3 × 24 = 7.2

Therefore, to minimize the phone bill, the number of long distance calls to

be made is zero long distance calls

Learn more about linear optimization here:

brainly.com/question/21491539

5 0

3 years ago

Select the correct answer.

yulyashka [42]

Answer:

Option D is correct.

$Volume=\frac{8}{27}\ cubic\ yard$

Step-by-step explanation:

Let V be the volume of hay in each stack

Given:

Length of the each stack is $\frac{2}{3}\ yard$

And Jay stores hay in cubic stacks on his farm.

The volume of the cone is.

$Volume\ of\ cone = (side)^{3}$

Now, we substitute value of length of stack in above equation.

$V=(\frac{2}{3})^{3}$

$V=\frac{2^{3}}{3^{3}}$

$V=\frac{8}{27}\ cubic\ yard$

Therefore, the volume of hay in each stack is $V=\frac{8}{27}\ cubic\ yard$

3 0

3 years ago

Olivia said her pencils is 14.0 cm long. how do you know she measured to the nearest millimetre?

erma4kov [3.2K]

Olivia measured to the nearest millimetre because the tenths place value is 0.

7 0

4 years ago

The algebraic expression 4 + 2y represents the perimeter of a rectangle with width 2 and length y. L M 2 MIMIMINI (a) Complete t

Elenna [48]

just listen to ur teacher and u will learn something LOL

3 0

3 years ago