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UNO [17]
3 years ago
5

What is the measure of angle RQS in the figure?

Mathematics
2 answers:
Natalka [10]3 years ago
6 0

Answer:

2x + 3x = 5x = 180 \\ x =  \frac{180}{5}  = 36 \\ rqs = 36 \times 3 = 108

Deffense [45]3 years ago
4 0

Answer:

108°

I hope it's helps you

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What is the square root of 200
wariber [46]
Hi,

\sqrt{200}  = 14.14

Hope this helps.
r3t40
3 0
2 years ago
Which expression gives the solutions -5x+2x^2=-6x?(1pt)
irina [24]
This is the concept of algebra, the solution of the given expression will be given as follows;
-5x+2x²=-6x
adding 5x on both sides we get
5x-5x+2x²=-6x+5x
2x²=-x
divide both sides by 2
(2x²)/2=-x/2
x²=-x/2
divide both sides by x
(x²)/x=-x/(2x)
x=-1/2
the answer is x=-1/2
8 0
3 years ago
116 miles in 8 hours is what miles per hour.
yulyashka [42]

Answer:

14.5

Step-by-step explanation:

116/8

6 0
3 years ago
Read 2 more answers
In an examination of purchasing patterns of shoppers, a sample of 16 shoppers revealed that they spent, on average, $54 per hour
Lesechka [4]

Answer:

54-1.64\frac{21}{\sqrt{16}}=45.39    

54 +1.64\frac{21}{\sqrt{16}}=62.61    

So on this case the 90% confidence interval would be given by (45.39;62.61)    

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

\bar X=54 represent the sample mean  

\mu population mean (variable of interest)

\sigma=21 represent the sample standard deviation

n=16 represent the sample size  

Solution to the problem

The confidence interval for the mean is given by the following formula:

\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)

Since the Confidence is 0.90 or 90%, the value of \alpha=1-0.9=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: "=-NORM.INV(0.05,0,1)".And we see that z_{\alpha/2}=1.64

Now we have everything in order to replace into formula (1):

54-1.64\frac{21}{\sqrt{16}}=45.39    

54 +1.64\frac{21}{\sqrt{16}}=62.61    

So on this case the 90% confidence interval would be given by (45.39;62.61)    

4 0
3 years ago
Which of the following graphs shows b < 4 ?
serg [7]

Answer:

C

Step-by-step explanation:

< is an open circle and graph C is the only one with an open circle

6 0
3 years ago
Read 2 more answers
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