What is the value of a if (2a +3) - (4a-8)= 7

Answers

Answer 1

Answer: ( 2a + 3 ) - ( 4a - 8 ) = 7
2a + 3 - 4a + 8 = 7
-2a + 11 = 7
-2a = -4
a = -4 / -2
a = 2

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A standard number cube was rolled multiple times, and the results were recorded in the table above. What can be said about the experimental probability of rolling a four versus the theoretical probability of rolling a four?

Answers

They should ideally be the same. However, the difference is that the theoretical probability is what is expected to happen while the experimental probability is what happens in the actual scenario. The computation for both would be the same, and they should ideally be the same, unless other factors in an experiment would confound it.

Factor completely x3 + 2x2 – 15x

Answers

$x^3 + 2x^2 - 15x$

first we can factor out an x
$x(x^2 + 2x - 15)$

then we find a pair of numbers that multiply to -15 and add up to 2

this would be 5 and -3
because 5 times -3 = -15
and -3 + 5 = 2

we would then get
$x(x-3)(x+5)$

this would be you answer :)

Hi Lisa

x³ + 2x² - 15x

= x( x-3)(x+5)

I hope that's help:)

Have a great summer :)

Find the volume of a sphere with a circumference of 48 pi ft. Write your answer in terms of pi .

Answers

Answer:

18,432 pi cubic ft

Step-by-step explanation:

This problem can be solved using formula to find circumference and volume of sphere

for any sphere with radius r

circumference of sphere is 2* pi * r

volume of sphere is found by using formula 4/3*(pi*r^2)

Given circumference of sphere is 48 pi ft

therefore

2* pi * r = 48 pi ft

r = 48 pi ft/ 2* pi = 24 ft

substituting the value of r is formula of volume of sphere we have

volume of sphere is = 4/3*(pi*24^3) = 18,432 pi cubic ft

Peggy works as a busperson and earns \$7.50/h. She also receives 9\% of the gratuities earned by all the staff. In one week she worked 35 hours and the gratuities totalled \$1936.80. What was Peggy's gross pay?

Answers

Answer: $ 436.81

Step-by-step explanation:

Given: Hourly rate for Peggy= $7.50

Also, she receives 9% of the gratuities earned by all the staff.

Total hours she worked = 35 hours

Total gratuities = $1936.80

Gross pay = (Hourly rate ) x (Number of hours worked)+ 9% of (Total gratuities )

= $ [(7.50 ×35)+(0.09 ×1936.80)]

= $ (262.5 +174.31)

= $ 436.81

Hence, her gross pay = $436.81

What is the name of the group that remains untreated throughout the
duration of an experiment?

Answers

The wait list control group serves two purposes. First, it provides an untreated comparison for the active experimental group to determine if the treatment had an effect.

Answer: Control Group

This group does not get any treatment, but rather they get a placebo instead. For instance, in a medical experiment testing a new drug, the control group would get a sugar pill (the people in this group think they are getting the actual drug itself, and not a fake pill).

In contrast, the experimental group is the group that receives the actual treatment.

A pipe is leaking at 1.5 cups per day.about how many gallons per week is the pipe leaking

Answers

(1.5 cup/day) x (7 day/week) x (gallon / 16 cup) = 0.656 gallon/week

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