The expression represents the cost of Janelle’s cell phone bill, where m represents the number of minutes of use.

A landscape supply business charges $35 to deliver mulch. The cost of the mulch is $29.

Scorpion4ik [409]

Answer:

$209

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept (initial value)

Let

x ----> the volume of mulch in cubic yards

y ----> the total cost in dollars

we have that

The slope of the linear equation is

$m=29\ \frac{\$}{yd^3}$

$b=\$35$ ----> flat fee to deliver mulch

The linear equation is

$y=29x+35$

For x=6 yd^3

substitute in the equation and solve for y

$y=29(6)+35$

$y=\$209$

4 0

2 years ago

How is quadrilateral ABCD related to quadrilateral A'B'C'D' shown below?

coldgirl [10]

What you put is correct. A’B’C’D’ is what would be shown if you rotate ABCD 90 degrees clockwise

4 0

2 years ago

A rate that describes how much smaller or larger the scale drawing is than the real object

AfilCa [17]

It is called a scale factor :)

8 0

2 years ago

In a survey of men aged 20-29 in a certain country, the mean height is 73.4 inches with a standard deviation of 2.7 inches. Find

satela [25.4K]

Answer:

The minimum height in the top 15% of heights is 76.2 inches.

Step-by-step explanation:

Problems of normally distributed samples are solved using 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 problem, we have that:

$\mu = 73.4, \sigma = 2.7$

Find the minimum height in the top 15% of heights.

This is the value of X when Z has a pvalue of 0.85. So it is X when Z = 1.04.

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

$1.04 = \frac{X - 73.4}{2.7}$

$X - 73.4 = 1.04*2.7$

$X = 76.2$

The minimum height in the top 15% of heights is 76.2 inches.

3 0

2 years ago

Equilateral triangle ABC has a perimeter of 96 millimeters. A perpendicular bisector is drawn from angle A to side Line segment

prisoha [69]

Answer:

Step-by-step explanation:

An equilateral triangle is a triangle that has all of its sides equal.

Perimeter of an equilaterial triangle = 3s where;

s is one side of the triangle.

Given the perimeter of ABC = 96mm

Substituting into the formula above to get s;

96 = 3s

s = 96/3

s = 32mm

Hence the length of one side of the triangle is 32mm

If a perpendicular bisector is drawn from angle A to side Line segment B C at point M, then MC will be half of BC and ΔAMC will be a right angled triangle.

Since all the sides of the triangle are equal, hence BC = 32mm. Since MC is the half of BC, then MC = 1/2 of 32mm

MC = 1/2 * 32mm

MC = 16mm

<em>Hence the length of Line segment MC is 16mm</em>

5 0

2 years ago

Read 2 more answers