These dot plots show hourly earnings for a sample of workers in two

Which of the following sequences of transformations is used to obtain figure A’ B’ C’ D’ from figure ABCD?

Amanda [17]

Answer:

Last one

Step-by-step explanation:

Imagine it as a mirror or like a paper folding in half, then figure out the direction it shifts.

4 0

3 years ago

A car dealer will sell you a used car for $6,498 with $798 down and payments of $162.51 per month for 48 months. what is the int

Mkey [24]

Answer:

Interest rate is 1.4% and APR is 16.8%.

Step-by-step explanation:

Given,

The original cost of the car = $ 6,498,

Down payment = $ 798,

So, the present value of loan, P.V. = original cost - down payment

= $ 6,498 - $ 798 = $ 5700,

Now, the monthly payment, P = $ 162.51,

Number of months, n = 48,

Let r be the monthly interest rate,

Since, monthly payment formula of a loan,

$P=\frac{PV(r)}{1-(1+r)^{-n}}$

$162.51=\frac{5700r}{1-(1+r)^{-48}}$

By graphing calculator,

$r=0.014= 1.4\%$

Hence, interest rate = 1.4%,

And, APR = 12 × 1.4% = 16.8%.

4 0

3 years ago

Rewrite the expression -2a(a+b-5)+3(-5a+2b)+b(6a+b-8)

erastovalidia [21]

First, think of it as 3 different expressions.Go through them one at a time. There is:
-2a(a+b-5) ] +3(-5a+2b) ] +b(6a+b-8)
Multiply everything out.] Multiply everything out. ]Multiply everything out
-2a x a = -2a² ] +3 x -5a = -15a ] +b x 6a = 6ab
-2a x b = -2ab ] +3 x 2b = 6b ] +b x b = b²
-2a x -5 = 10a ] -15a + 2b = -15a+2b ] +b x -8 = -8b -2a² + -2ab + 10a = ] ] 6ab + b² + -8b =
-2a²+-2ab+10a ] ] 6ab+b²+-8b
Now add everything up, but before that, remember these algebraic rules:
∞A.S.S. Add Same Signs, meaning positive add positive or negative add negative equals a positive number or 0. E.g 1+1=1 and -1+-2= 1
∞S.I.D. Subtract If Different, meaning a positive number add a negative number always equals a negative number or 0. E.g 1 + -2 = -1
∞You can only add up "similar terms", meaning you can add 'terms' ending in 'a' for example with another 'term' ending in 'a'. However. you cannot add a term ending in 'a' to an 'ab' or an 'a²'.
Following these rules, -2a²+-2ab+10a+-15a+2b+6ab+b²+-8b =
4ab-5a-6b+b²-2a²

Hope that helps you and that it wasn't too tricky to understand. :)

3 0

3 years ago

Based on a survey, assume that 32% of consumers are comfortable having drones deliver their purchases. Suppose that we want to

Nikolay [14]

Answer:

n = 6

x = 3

p = 0.32

q = 0.68

Step-by-step explanation:

Given:

32% are comfortable having drones deliver their purchases.

Suppose we are to find the probability that when 6 consumers are randomly selected, exactly 3 of them are comfortable with delivery by drones.

Required:

Find n, x, p, and q.

i) n represents the sample size. Here 6 consumers are selected randomly, therefore the sample size here is 6.

Thus, n = 6

ii) x represents the sample mean or number of successes. Since 3 consumers out of the selected 6 are comfortable with delivery by drones, the sample mean here is 3.

Thus, x = 3

iii) p represents population proportion or probability of success. Here population proportion(success probability) is 32% ≈ 0.32.

Thus, p = 0.32

iv) q represents probability of failure. To find probability of failure, use the formula:

1 - p

Thus,

1 - 0.32 = 0.68

q = 0.68

3 0

3 years ago

Solve each algebraic equation for the indicated variable 10r - 20 = 5r + 35

Olenka [21]

Answer:

r=11

Step-by-step explanation:

10r - 20 = 5r + 35

-5r. -5r

---------------------------

5r - 20 = 35

+20 = +20

---------------------------

5r = 55

------------

5r. 5

r=11

6 0

3 years ago