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aksik [14]
3 years ago
6

Need help with number 3

Mathematics
1 answer:
MAVERICK [17]3 years ago
5 0
Vertical angles are always equal. The vertical angles are the ones opposite each other. Therefore x would equal 40.
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From a random sample of 58 businesses, it is found that the mean time the owner spends on administrative issues each week is 21.
zzz [600]

Answer: (20.86, 22.52)

Step-by-step explanation:

Formula to find the confidence interval for population mean :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}

, where \overline{x} = sample mean.

z*= critical z-value

n= sample size.

\sigma = Population standard deviation.

By considering the given question , we have

\overline{x}= 21.69

\sigma=3.23

n= 58

Using z-table, the critical z-value for 95% confidence = z* = 1.96

Then, 95% confidence interval for the amount of time spent on administrative issues will be :

21.69\pm (1.96)\dfrac{3.23}{\sqrt{58}}

=21.69\pm (1.96)\dfrac{1.7}{7.61577}

=21.69\pm (1.96)(0.223221)

\approx21.69\pm0.83

=(21.69-0.83,\ 21.69+0.83)=(20.86,\ 22.52)

Hence, the 95% confidence interval for the amount of time spent on administrative issues = (20.86, 22.52)

7 0
3 years ago
Find the measures of two suplametery angles if their measures are in the givin ratio 2:3
geniusboy [140]

Answer:

Let the two supplementary angles be

we know sum of two supplementary angles is 180

2x + 3x = 180

5x = 180

x = 180/5

x = 36

2*36 = 72

3*36 = 108

Therefore the two supplementary angles are 72 and 108

8 0
3 years ago
Read 2 more answers
Sandra is a real estate agent and rams 5000 commission on the selling of a 62,000 house. what is the percent of commission she r
sveta [45]
To find a percent, you use this simple formula:
5000/62000 = x/100

In this case, x is going to be your percent of commission.

So, to find this, you first divide 5000 by 62000, which is about equal to 0.08.

Now your equation looks like this:
0.08 = x/100

Next, you multiply both sides by 100 to reverse the operation. Now, your equation will look like this:

8 = x

So, the answer is 8%.
8 0
3 years ago
Look at the imagine. Help asap.
Stella [2.4K]

2x-1 < x+3

5x-1 > 6-2x

x-5 < 0

solve the inequality for x.

x < 4

x > 1

X < 5

find the intersection

X ∑ {1,4}

Alternative form: {x I 1 < x < 4}

∑ indicates summation and is used as a shorthand notation for the sum of terms that follow a pattern. For example, the sum of the first 4 squared integers, 12+22+32+42, follows a simple pattern: each term is of the form i2, and we add up values from i=1 to i=4.

4 0
1 year ago
The answer to the problem I really don’t understand it
Juli2301 [7.4K]

Answer:

answer is D) 0, -5

Step-by-step explanation:

6 0
3 years ago
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