Which of the following is the median of the data set below?

5, -3, 10, -2, 0

C. 17.8 cm.

Explanation

To convert inches to centimeters, we use the conversion factor:

1 inch = 2.54 centimeters.

7 inches×2.54 cm/inch

=17.78 cm

In a negatively-correlated variables, a change in one variable result in opposite change in the other variable. In other words, an increase in on variable results in a decrease in the other.

Now let’s analyze the given scenarios:

As elevation increases, temperature decreases is a NEGATIVE CORRELATION

As elevation increases, temperature increases is a POSITIVE CORRELATION

As elevation decreases, temperature remains the same this is NO-CORRELATION

As elevation decreases, temperature decreases is a POSITIVE CORRELATION

The independent variable is the one that is changed or controlled in an experiment to test its effects on the dependent variables. Here, the number of hours worked is independent because it affects the other variables (taxes withheld, retirement savings, and sick leave), making it the cause rather than the effect.

Let's work step by step to find the original price of the recliner.

Let the original price of the recliner be x.

The recliner is on sale for 30% off the original price. So, the sale price is:

SalePrice = x−0.30x = 0.70x

The consumer has a coupon that saves an additional 25% off the sale price. So, the final price is:

FinalPrice = 0.70x − 0.25(0.70x)

= 0.75(0.70x)

= 0.525x

The consumer paid $237 for the recliner. Therefore, we have the equation:

0.525x = 237

Solving for x:

x =

​≈ 451.43

Rounding to the nearest dollar, the original price is approximately $451,

Based on the context, a synonym for "salient" is important, as it refers to points that are prominent or significant in the presentation.

Hire purchase cost=down payment + total monthly installment

Total monthly payment=hire purchase cost-down payment= $(1570-400)=$ 1170

Number of months=total monthly payment/monthly payment=$1170/$100=11.7 months

The consumer will clear the balance in 12 months.

Given the equation D=2R means that the get the value of D, multiply the value of R by 2. That is D is two times the value of R.

Use the order of operations to solve the given equation. The acronym PEDMAS will help us to solve the given problem.

P- Parenthesis

E-Exponents

D-Divide

M-Multiply

A-Add

S-Subtract

From the given equation start with solving

12 ÷3*4-1+23

Next, carry out division 12÷3=4

4*4-1+23

Multiply is 4*4=16

16-1+23

Add or subtract can be conducted in any order. From left to right, we subtract followed by addition

Subtract 16-1=15

15+23

The last step is to add 15+23

15+23=38

Thus, the answer to the given equation is 38.

To find the average speed in miles per hour, we need to convert the time from minutes to hours and then use the formula for speed:

Speed =

The distance traveled is 7.125 miles.

The time was 10 minutes, which is equivalent to:hours

Now, we can calculate the speed:

Speed = 7.125 ÷ = 7.125×6 = 42.75mph

Since the screen sizes are proportional, we can set up a proportion based on the diagonal lengths of the screens.

Let x be the length of the vehicle on the 50-inch screen. The proportion based on the screen sizes is:

=

Now, solve for x:

x = = ≈14.06

Rounding to the nearest inch, the vehicle will appear about 14 inches long on the 50-inch screen.