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Rasek [7]
2 years ago
5

PLEASE HELP 60 POINTSSSS

Mathematics
1 answer:
anastassius [24]2 years ago
5 0

Answer:

x = 6.5 units

Step-by-step explanation:

The 2 given squares are the on the legs of the right triangle with hypotenuse x

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then

x² = 13 + 29.25 = 42.25 ( take square root of both sides )

x = \sqrt{42.25} = 6.5 units

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From a sample of 37 graduate​ students, the mean number of months of work experience prior to entering an MBA program was 35.15.
kiruha [24]

Answer: (29.35, 40.95)

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.

As per given , we have

\overline{x}=35.15

\sigma=18

n= 37

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

Then, the confidence interval for the population mean will be :

35.15\pm (1.96)\dfrac{18}{\sqrt{37}}

=35.15\pm (1.96)\dfrac{1.7}{6.08276}

=35.15\pm (1.96)(2.95918)

\approx35.15\pm5.80

=(35.15-5.80,\ 35.15+5.80)=(29.35,\ 40.95)

Hence, a 95​% confidence interval for the population​ mean = (29.35, 40.95)

8 0
3 years ago
Please please help me with this
kompoz [17]

72degrees that the agngle its easy

3 0
3 years ago
Robert earns $498.00 for 40 hours of work. How much does he earn if works 30 hours at the same pay rate? Do not round your answe
elena55 [62]

Answer:$373.50

Step-by-step explanation:

$498.00 divided by 40 is 12.45

12.45 times 30 is $373.50

7 0
3 years ago
Read 2 more answers
A classroom has ten students. Three students are freshman, two are sophomores, and five are juniors. Three students are randomly
ycow [4]

Answer:

0.25

Step-by-step explanation:

We have a total of ten student, and three students are randomly selected (without replacement) to participate in a survey. So, the total number of subsets of size 3 is given by 10C3=120.

On the other hand A=Exactly 1 of the three selected is a freshman. We have that three students are freshman in the classroom, we can form 3C1 different subsets of size 1 with the three freshman; besides B=Exactly 2 of the three selected are juniors, and five are juniors in the classroom. We can form 5C2 different subsets of size 2 with the five juniors. By the multiplication rule the number of different subsets of size 3 with exactly 1 freshman and 2 juniors is given by

(3C1)(5C2)=(3)(10)=30 and

Pr(A∩B)=30/120=0.25

3 0
3 years ago
Can someone help?<br> Question above.<br> Thank you!
Goryan [66]
Might be steel there
7 0
3 years ago
Read 2 more answers
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