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tester [92]
3 years ago
6

The diameter of a sphere is 42 centimeters. find the surface area to the nearest tenth

Mathematics
1 answer:
Mademuasel [1]3 years ago
8 0
A ~ 5541.77cm squared
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Is (3,2) a solution of -8x-2y<6
BartSMP [9]

Answer:

yes

Step-by-step explanation:

-8x-2y<6

put in x and y and see if it is less than 6

-8(3) -2(2) <6

-24 -4 <6

-28 <6

yes

it is a solution

8 0
3 years ago
Mopeds (small motorcycles with an engine capacity below 50cm3) are very popular in Europe because of their mobility, ease of ope
d1i1m1o1n [39]

Answer:

a) 96.64% probability that maximum speed is at most 50 km/h

b) 24.67% probability that maximum speed is at least 48 km/h

c) 86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 46.8, \sigma = 1.75

A. What is the probability that maximum speed is at most 50 km/h?

This is the pvalue of Z when X = 50. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{50 - 46.8}{1.75}

Z = 1.83

Z = 1.83 has a pvalue of 0.9664

96.64% probability that maximum speed is at most 50 km/h.

B. What is the probability that maximum speed is at least 48 km/h?

This is 1 subtracted by the pvalue of Z when X = 48.

Z = \frac{X - \mu}{\sigma}

Z = \frac{48 - 46.8}{1.75}

Z = 0.685

Z = 0.685 has a pvalue of 0.7533

1 - 0.7533 = 0.2467

24.67% probability that maximum speed is at least 48 km/h.

C. What is the probability that maximum speed differs from the mean value by at most 1.5 standard deviations?

Z = 1.5 has a pvalue of 0.9332

Z = -1.5 has a pvalue of 0.0668

0.9332 - 0.0668 = 0.8664

86.64% probability that maximum speed differs from the mean value by at most 1.5 standard deviations

6 0
3 years ago
Steve saw 313 birds during a bird-watching trip to Yellowstone National park.he observes 15 more trumpeter swans then sand hill
prisoha [69]

Answer:

82 ducky grouses, 41 trumpeter swans, 26 sand hill cranes, 164 chikadees

Step-by-step explanation:

4 0
2 years ago
Which pair of functions are inverse functions?<br><br> PLEASE ILL GIVE BRAINLIEST
algol13

Answer:

A

Step-by-step explanation:

To find an inverse function you switch f(x) and x, and solve for f(x) (in this case you also rename it to g(x) )

inverse of y=(x-4)/5  is  

5x =  x -4

x = 5x + 4  so A works

7 0
3 years ago
)A jar contains 0.75 liter of blackberry juice and 0.60 liter of blueberry juice. Patrick poured 0.25 liter of guava juice into
saveliy_v [14]

Answer:

haha

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
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