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KatRina [158]
3 years ago
15

Use the Multiplication Law of Exponents to solve the expression below. 6^1/2 6^1/2 = _____

Mathematics
1 answer:
klemol [59]3 years ago
8 0

The base of 6 is the same, so add 1/2+1/2 =1

6^1 = 6

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The high price of medicines is a source of major expense for those seniors in the United States who have to pay for these medici
Ilia_Sergeevich [38]

Answer:

4600-1.646\frac{800}{\sqrt{1800}}=4568.96    

4600+1.646\frac{800}{\sqrt{1800}}=4631.04    

We are confident at 90% that the true mean for the amount spent on medicines is between (4568.96 and 4631.04)

Step-by-step explanation:

Information given

\bar X=4600 represent the sample mean for the amount spent on medicines

\mu population mean

s=800 represent the sample standard deviation

n=1800 represent the sample size  

Solution

The confidence interval for the true population mean is given by:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

We can calculate the degrees of freedom with:

df=n-1=1800-1=1799

We know that the Confidence level is 0.90 or 90%, the value of significance is \alpha=0.1 and \alpha/2 =0.05, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.05,1799)".And we see that t_{\alpha/2}=1.646

Replcing in the formula for the confidence interval we got:

4600-1.646\frac{800}{\sqrt{1800}}=4568.96    

4600+1.646\frac{800}{\sqrt{1800}}=4631.04    

We are confident at 90% that the true mean for the amount spent on medicines is between (4568.96 and 4631.04)

6 0
3 years ago
Alejandro Juarez is paid $829 every two weeks. How much would Alejandro earn in 4 weeks ?
aev [14]

Answer:

$1,658 in 4 weeks

Step-by-step explanation:

Since we are working in intervals of 2, we can just multiply.

829 * 2

1658

Best of luck!

6 0
3 years ago
Read 2 more answers
The perimeter of a triangle is 32 feet. One side of the triangle is 3 times the second side. The third side is 12 feet longer
Ivenika [448]

We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:

GiveN:

  • One side is 3 times the second side.
  • Third side is 12 feet longer than the second side.

As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.

  • So let the second side be x

Then,

  • First side = 3x
  • And, third side = x + 12

We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:

3x + x + x + 12 = 32

Solving it further,

5x + 12 = 32

Subtracting 12 from both sides,

5x + 12 - 12 = 32 - 12

5x = 20

Dividing 5 from both sides,

\frac{5x}{5}  =  \frac{20}{5}

x = 4

Then,

  • First side = 3x = 12 feet
  • Second side = 4 feet
  • Third side = x + 12 = 16 feet

And we are done with the answer !!

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

4 0
3 years ago
18. m21 S 21. Guided​
xz_007 [3.2K]

Answer:

Step-by-step explanation:

say what is this about the phone

3 0
3 years ago
Find the lateral surface area of this
Jobisdone [24]

Answer:

22/7×9×3=22×9×3=594÷7=84.85

7 0
3 years ago
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