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Dmitry_Shevchenko [17]
2 years ago
15

Hurry! Geometry Math Question.​

Mathematics
1 answer:
tia_tia [17]2 years ago
7 0

Answer: .

Step-by-step explanation: .

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the marks in an examination for a Physics paper have normal distribution with mean μ and variance σ2 . 10% of the students obtai
Blababa [14]

Let X be the random variable for the number of marks a given student receives on the exam.

10% of students obtain more than 75 marks, so

P(X>75)=P\left(\dfrac{X-\mu}\sigma>\dfrac{75-\mu}\sigma\right)=P(Z>z_1)=0.10

where Z follows a standard normal distribution. The critical value for an upper-tail probability of 10% is

P(Z>z_1)=1-F_Z(z_1)=0.10\implies z_1=F_Z^{-1}(0.90)

where F_Z(z)=P(Z\le z) denotes the CDF of Z, and F_Z^{-1} denotes the inverse CDF. We have

z_1=F_Z^{-1}(0.90)\approx1.2816

Similarly, because 20% of students obtain less than 40 marks, we have

P(X

so that

P(Z

Then \mu,\sigma are such that

\dfrac{75-\mu}\sigma\approx1.2816\implies75\approx\mu+1.2816\sigma

\dfrac{40-\mu}\sigma\approx-0.8416\implies40\approx\mu-0.8416\sigma

and we find

\mu\approx53.8739,\sigma\approx16.4848

3 0
3 years ago
A pitched roof is built with a 2:5 ratio of rise to span. If the rise of the roof is 12 meters, what is the span?
grin007 [14]
15 meters!! Is the correct answer
3 0
2 years ago
In triangle UVW , the measure of angle W=90^ , the measure of angle U=31^ °, and UV = 31 feet. Find the length of VW to the near
Basile [38]

Answer:

Step-by-step explanation:

VW, also know as side X (as shown in image) can be found using the sine. Sin(theta)=opposite/hypotenuse. In this case, theta is 31 degrees and the hypotenuse is 31 feet. Plugging in all known values, we would have sin(31)=x/31. Rearrange the equation and isolate X on one side. Then use a calculator to find the answer. Good luck!

8 0
3 years ago
You are 5 feet tall and cast a 10-foot shadow. a flagpole nearby casts a shadow that is 28 feet. which equation can you use to s
VashaNatasha [74]
As the ratio of your shadow to your height is 2:1 assuming the flagpole would form a similar triangle the shadow is twice the height of the pole meaning the pole is 14 feet tall
3 0
3 years ago
Read 2 more answers
An Internet and cable-television supplier surveyed a random sample of their customers. The results are shown in the table.
IrinaVladis [17]

For the statement "....A 4-column table with 3 rows. The first column has no label with entries internet, cable television, or total. The second column is labeled satisfied with entries ..." statement about the two-way frequency table that is true is  About one-fourth of the cable-television customers are not satisfied. Option D.

This is further explained below.

<h3>What is a two-way frequency table?</h3>

Generally,  A two-way table may be used to show the frequency of occurrence of two categories. A row represents a single category, whereas a column represents a different category.

In conclusion, There are 3,141 customers in total, of which 2,032 are internet customers and 1,109 are cable customers.

Read more about the two-way frequency table

brainly.com/question/12576014

#SPJ1

7 0
1 year ago
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