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ololo11 [35]
2 years ago
8

Solve this equation, show all your work: 6(x+1)=-2(3x+9)

Mathematics
1 answer:
Alex17521 [72]2 years ago
7 0

Answer:

x=-2

Step-by-step explanation:

6(x+1)=-2(3x+9)

Distribute the 6.

6x+6=-2(3x+9)

Distribute the -2.

6x+6=-6x-18

Move the variable to the left-hand side and change the sign.

6x+6+6x=-18

Collect like terms

12x=-18-6

Calculate the difference.

12x=-24

Divide both sides by 12.

x=-2

Hope this helps :)

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If the mean is 298 and standard deviation is 22 what is the probability that a random sample of 42 pregnancies has a mean gestat
anyanavicka [17]

Answer:

The probability is 0.9909.

Step-by-step explanation:

Test statistic (z) = (sample mean - population mean) ÷ (sd/√n)

sample mean = 290 days

population mean = 298 days

sd = 22 days

n = 42

z = (290 - 298) ÷ (22/√42) = -8 ÷ 3.395 = -2.36

The cumulative area of the test statistic is the probability that the mean gestation period is less than 290 days. The cumulative area is 0.9909. Therefore the probability is 0.9909.

7 0
3 years ago
Read 2 more answers
What is the solution to<br><br>- 4x + 28 &gt; 12
raketka [301]

Answer:

\large\boxed{x

Step-by-step explanation:

-4x+28>12\qquad\text{subtract 28 from both sides}\\\\-4x>-16\qquad\text{change the signs}\\\\4x

6 0
3 years ago
PLZZZZZ HELP ME! :) XDDD
Taya2010 [7]
 In order to figure out what the answer is you would have to divide the number of feet it fell by the time. If you do 35.75 divided by 3.25 it would be 11. 
So the answer most likely would be 11
Please correct me if I am wrong
Have a great day!
4 0
3 years ago
There are 4,000 undergraduates registered at a certain college. Of them, 364 are taking one course, 496 are taking two courses,
kykrilka [37]

Answer:

X=1, P = 0.091

X=2, P = 0.124

X=3, P = 0.115

X=4, P = 0.378

X=5, P = 0.264

X=6, P = 0.028

Step-by-step explanation:

To calculate the probability distribution of X, first we have to define the sample space.

In this case X=1,2,3,4,5,6. This are the values that X can take.

The probability is calculated as equal to the relative frequency of each of the values.

For X=1, P = 364/4000 = 0.091

For X=2, P = 496/4000 = 0.124

For X=3, P = 460/4000 = 0.115

For X=4, P = 1512/4000 = 0.378

For X=5, P = 1056/4000 = 0.264

For X=6, P = 112/4000 = 0.028

4 0
2 years ago
The cost of Ms. Clark's restaurant meal is $25.50.
lapo4ka [179]

Answer: The correct answer is B.

Step-by-step explanation: We are given the cost of restaurant meal of M. Clark is $25.50.

and she has given 20% of the meal's cost as a tip to the waiter.

Step 1: Calculating the amount of tip paid

\text{amount of tip}=\frac{20}{100}\times 25.50

Total tip paid = $5.1

Step 2: To find the total amount, we add the cost of the meal and the tip paid

Total amount = Cost of the meal + Tip paid

Total amount = $25.50 + $5.10

Total amount paid by Ms. Clark = $30.6

4 0
3 years ago
Read 2 more answers
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