Write the equation, show all your work, and circle your answer. ** The

Find the lateral surface area of the cylinder to two decimal places.<br> will mark as brainiest

lidiya [134]

Answer:

Step-by-step explanation:

lateral surface area=2πrh

=2π×2×9

=36π

≈36×3.14

≈130.04 sq.ft

5 0

2 years ago

When traveling to work, Cherise averages 60 miles per hour.Because of heavy traffic in the evening, she averages only 40 miles p

Slav-nsk [51]

<h3>Answer: 40 minutes</h3>

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Explanation:

The distance traveled is d = 80 miles.

When going to work, her speed is r = 60 mph. She takes t = d/r = 80/60 = 4/3 hours which converts to 80 minutes. Multiply by 60 to go from hours to minutes.

Notice how the '80' shows up twice (in "80 miles" and "80 minutes"). This is because traveling 60 mph is the same as traveling 1 mile per minute.

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Now as she's coming home, her speed becomes r = 40 and she takes t = d/r = 80/40 = 2 hours = 120 minutes.

The difference in time values is 120 - 80 = 40 minutes.

Her commute back home takes 40 more minutes compared to the morning drive to work.

4 0

2 years ago

What is the probability that the system does not have a type 2defect?b.What is the probability that the system has both type 1 a

Lana71 [14]

Answer:

a. 0.93 b. 0.06 c. 0.05

Step-by-step explanation:

Probability is commonly known as the chance of success of a particular event. The probability of failure of the event can also be estimated.

(a) Probability of not having type 2 defect is: $P(A_{2}^{'})$ $= 1 - P(A_{2})$ = 1 - 0.07 = 0.93

(b) Probability of having type 1 and 2 defects is: $P(A_{1} n A_{2}) = P(A_{1}) + P(A_{2}) - P(A_{1}U A_{2}) = 0.12 + 0.07 - 0.13 = 0.06$

(c) probability pf having both type 1 and type 2 defects but not type 3 defect is:

$P(A_{1} + A_{2} + A^{'} _{3}) = P(A_{1} n A_{2}) - P(A_{1} n A_{2} n A_{3}) = 0.06 - 0.01 = 0.05$

3 0

2 years ago

HELP ASAP PLEASE MY TEST IS DUE<br><br> Evaluate the following expression: 4^3 x (100/25) - 5^0

Natasha_Volkova [10]

Answer:

256−1

Step-by-step explanation:

7 0

2 years ago

Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?

BabaBlast [244]

Complete question :

The 100m dah times in the girl's track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds.

Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?

Answer:

21 runners

Step-by-step explanation:

Mean, μ = 13 seconds

Standard deviation, σ = 0.3

Lana's race time = 13.2

We find the proportion of runners who had race time above 13.2 ;

Proportion of who had race tune above 13.2

P(x > 13.2)

Obtain the Zscore

Zscore = (x - μ) / σ

Z = (13.2 - 13) / 0.3

Zscore = 0.2 / 0.3 = 0.6667

P(Z > 0.6667) = 0.25239 (Z probability calculator)

This is about 0.25239 * 100 = 25.24% = 25% (nearest percent)

Hence, Number of runners Lana beat = 25% of total runners ;

0.25 * 84 = 21

Hence, Lana beat about 21 runners

6 0

2 years ago