Y=x-3 and y=-3x+25 in substitution form

A 12 pack of soda is roughly $2.52. What is the cost per one can of soda?

Natalka [10]

Answer:

$2.52/12= $.21

the cost of one can of soda is $.21

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

The average fuel efficiency of U.S. light vehicles for 2005 was 21 mpg. If the standard deviation of the population was 2.9 and

statuscvo [17]

Answer:

1) The probability that the mean mpg for a random sample of 25 light vehicles is 0.042341.

2) between 20 and 25 --> 21-25/2.9 = -1.38

Step-by-step explanation:

Problem #1:

Using the z-score formula, z = (x-μ)/σ/n, where x is the raw score = 20 mpg,μ is the population mean = 21 mpg , σ is the population standard deviation = 2.9, n = random number of samples.

= z = 20 - 21/2.9/√25
= z = -1/2.9/5
= z = -1.72414

<em>P-value from Z-Table:</em>

Problem #2:

6 0

2 years ago

A sample of blood pressure measurements is taken for a group of adults, and those values (mm Hg) are listed below. The values

Slav-nsk [51]

Answer:

Systolic on right

$\hat{CV} =\frac{18.68}{127.5}=0.147$

Systolic on left

$\hat{CV} =\frac{12.65}{74.2}=0.170$

So for this case we have more variation for the data of systolic on left compared to the data systolic on right but the difference is not big since 0.170-0.147 = 0.023.

Step-by-step explanation:

Assuming the following data:

Systolic (#'s on right) Diastolic (#'s on left)

117; 80

126; 77

158; 76

96; 51

157; 90

122; 89

116; 60

134; 64

127; 72

122; 83

The coefficient of variation is defined as " a statistical measure of the dispersion of data points in a data series around the mean" and is defined as:

$CV= \frac{\sigma}{\mu}$

And the best estimator is $\hat {CV} =\frac{s}{\bar x}$

Systolic on right

We can calculate the mean and deviation with the following formulas:

[te]\bar x = \frac{\sum_{i=1}^n X_i}{n}[/tex]

$s= \frac{\sum_{i=1}^n (x_i -\bar X)^2}{n-1}$

For this case we have the following values:

$\bar x = 127.5, s= 18.68$

So then the coeffcient of variation is given by:

$\hat{CV} =\frac{18.68}{127.5}=0.147$

Systolic on left

For this case we have the following values:

$\bar x = 74.2 s= 12.65$

So then the coeffcient of variation is given by:

$\hat{CV} =\frac{12.65}{74.2}=0.170$

So for this case we have more variation for the data of systolic on left compared to the data systolic on right but the difference is not big since 0.170-0.147 = 0.023.

4 0

3 years ago

A tower made of wooden blocks measures 114 feet high. Then a block is added that increases the height of the tower by 8 inches.

satela [25.4K]

Answer:

4. 23 in

Step-by-step explanation:

The tower is 1 1/4 feet high, then 8 inches are added. Well, we can't just add those two numbers. We have to change the units! Change everything to inches.

1 1/4 feet is equal to 12 inches + 3 inches = 15 inches, because a foot = 12 inches.

Add 8 inches to 15, and you get 23 inches.

<u>The answer is 4. 23 in. </u>

4 0

4 years ago

47. A car travels at a constant speed of 50 miles per hour.

SIZIF [17.4K]

Answer:

The inverse of the given function is $t(d)=\frac{d}{50}$ . The time taken to travel 180 miles is 3.6 hours.

Step-by-step explanation:

It is given that a car travels at a constant speed of 50 miles per hour. A function for distance traveled is also given as d(t)=50t.

It is required to find the inverse of the function by expressing the time travel in terms of distance traveled and also find t(180).

To find the inverse, express time traveled in terms of distance traveled using normal algebraic methods and then substitute 180 for t and explain its results.

Step 1 of 2

The given function is d(t)=50t.

Consider d(t) as d and t as t(d) and rewrite the equation.

The rewritten function is d=50 t(d)

Divide by 50 on both sides of the equation.

$\begin{aligned}&d=50 t(d) \\&\frac{d}{50}=\frac{50 t(d)}{50} \\&t(d)=\frac{d}{50}\end{aligned}$

Step 2 of 2

Substitute 180 for $t$ in the simplified expression and interpret the results.

$\begin{aligned}&t(d)=\frac{d}{50} \\&t(d)=\frac{180}{50} \\&t(d)=3.6\end{aligned}$

The time taken to travel 180 miles is 3.6 hours.

3 0

2 years ago