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andreyandreev [35.5K]
2 years ago
9

Find the value of x. If necessary, round your answer to the nearest tenth. O is the center of the circle. The figure is not draw

n to scale.

Mathematics
1 answer:
Aleonysh [2.5K]2 years ago
8 0

Answer:

x=25

Step-by-step explanation:

we know that

In this problem

The value of x represent the radius of the circle

so

Applying the Pythagoras theorem in the right triangle of the figure, you can find the radius of the circle O

see the attached figure to better understand the problem

x^{2} =20^{2}+15^{2}

x^{2} =400+225

x^{2} =625

square root both sides

x=25

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A large school district in southern California asked all of its eighth-graders to measure the length of their right foot at the
Ber [7]

Answer:

The probability of the sample mean foot length less than 23 cm is 0.120

Step-by-step explanation:

* Lets explain the information in the problem

- The eighth-graders asked to measure the length of their right foot at

  the beginning of the school year, as part of a science project

- The foot length is approximately Normally distributed, with a mean of

 23.4 cm

∴ μ = 23.4 cm

- The standard deviation of 1.7

∴ σ = 1.7 cm

- 25 eighth-graders from this population are randomly selected

∴ n  = 25

- To find the probability of the sample mean foot length less than 23

∴ The sample mean x = 23, find the standard deviation σx

- The rule to find σx is σx = σ/√n

∵ σ = 1.7 and n = 25

∴ σx = 1.7/√25 = 1.7/5 = 0.34

- Now lets find the z-score using the rule z-score = (x - μ)/σx

∵ x = 23 , μ = 23.4 , σx = 0.34

∴ z-score = (23 - 23.4)/0.34 = -1.17647 ≅ -1.18

- Use the table of the normal distribution to find P(x < 23)

- We will search in the raw of -1.1 and look to the column of 0.08

∴ P(X < 23) = 0.119 ≅ 0.120

* The probability of the sample mean foot length less than 23 cm is 0.120

4 0
3 years ago
Marcel is performing the first test on his company's new electric car. During the test, the electric car reaches a maximum speed
valentina_108 [34]

Answer:

C. The electric car is not moving at 0 seconds and 12 seconds.

Step-by-step explanation:

Given:

The table given is:

x   0   2    4     6      8      10      12  

y   0   45  72   81    72     45     0

From the above table, we observe that the car starts from rest and its speed increases from 0 to 6 seconds, the maximum speed being 81 mph.

After 6 seconds, the speed of the car goes on decreasing till it stops at time equal to 12 seconds.

So, the speed of the car at the start when x=0 is 0 mph as it is at rest at that time.

Also, when the time is x=12\ s, the car has come to a stop and thus its speed has reduced to 0 mph again. So, the car is not moving after 12 seconds.

From the above conclusion, we can say that only option C is correct.

The electric car is not moving at 0 seconds and 12 seconds.

3 0
2 years ago
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Which line has a slope of 1 and a y-intercept of 2?
Vedmedyk [2.9K]

Answer:

bottom left :)

Step-by-step explanation:

3 0
2 years ago
Marshall wrote a total of 8 pages over 4 hours. After spending 7 hours writing this week, how many pages will Marshall have writ
astraxan [27]
8 pages per 4 hrs
2 pages per hour
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14 pages
7 0
3 years ago
Combine like terms <br>9p+3p
koban [17]

combine like terms  

9p+3p

= p(9 + 3)

= p (12)

= 12p

Answer

12p

6 0
3 years ago
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