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galben [10]
2 years ago
6

What is the area of a regular hexagon with a side length of 4 m? enter your answer in the box. round only your final answer to t

he nearest hundredth. m²
Mathematics
1 answer:
N76 [4]2 years ago
5 0

Answer:

41.57

Step-by-step explanation:

took the test

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Normal Distribution. Cherry trees in a certain orchard have heights that are normally distributed with mu = 112 inches and sigma
Lubov Fominskaja [6]

Answer:

The probability that a randomly chosen tree is greater than 140 inches is 0.0228.

Step-by-step explanation:

Given : Cherry trees in a certain orchard have heights that are normally distributed with \mu = 112 inches and \sigma = 14 inches.

To find : What is the probability that a randomly chosen tree is greater than 140 inches?

Solution :

Mean - \mu = 112 inches

Standard deviation - \sigma = 14 inches

The z-score formula is given by, Z=\frac{x-\mu}{\sigma}

Now,

P(X>140)=P(\frac{x-\mu}{\sigma}>\frac{140-\mu}{\sigma})

P(X>140)=P(Z>\frac{140-112}{14})

P(X>140)=P(Z>\frac{28}{14})

P(X>140)=P(Z>2)

P(X>140)=1-P(Z

The Z-score value we get is from the Z-table,

P(X>140)=1-0.9772

P(X>140)=0.0228

Therefore, the probability that a randomly chosen tree is greater than 140 inches is 0.0228.

5 0
3 years ago
He rain caused the river to ride a total of 6 2/3 inches. The river was rising at an average of 2/3 of an inch each hour. How ma
Kobotan [32]
To find out how many hours it rained, divide the total rise in the river by the amount it rose every hour.

\sf 6\dfrac{2}{3}\div\dfrac{2}{3}

First convert the mixed number into an improper fraction. We do this by multiplying the denominator to the whole number, adding it to the numerator, which becomes our new numerator, and we keep the denominator the same:

\sf\dfrac{20}{3}\div\dfrac{2}{3}

When dividing fractions we flip(the reciprocal) the one we're dividing by and multiply:

\sf\dfrac{20}{3}\times\dfrac{3}{2}

Multiply the numerators and denominators together:

\sf\dfrac{60}{6}

Simplify by dividing:

\boxed{\sf 10}

So it rained for 10 hours.
5 0
3 years ago
2. Find the theoretical probability of not rolling a 4.
mezya [45]

Answer:If a die is rolled once, determine the probability of rolling a 4: Rolling a 4 is an event with 1 favorable outcome (a roll of 4) and the total number of possible outcomes is 6 (a roll of 1, 2, 3, 4, 5, or 6). Thus, the probability of rolling a 4 is 1/6.

If a die is rolled once, determine the probability of rolling at least a 4: Rolling at least 4 is an event with 3 favorable outcomes (a roll of 4, 5, or 6) and the total number of possible outcomes is again 6. Thus, the probability of rolling at least a 4 is 3/6 = 1/2

Step-by-step explanation:For example, when a die is rolled, the possible outcomes are 1, 2, 3, 4, 5, and 6. In mathematical language, an event is a set of outcomes, which describe what outcomes correspond to the "event" happening. For instance, "rolling an even number" is an event that corresponds to the set of outcomes {2, 4, 6}. The probability of an event, like rolling an even number, is the number of outcomes that constitute the event divided by the total number of possible outcomes. We call the outcomes in an event its "favorable outcomes".

8 0
3 years ago
The price of two dozen candy bars is $4.80. Bridget wants to buy 5 candy bars. what will she have to pay?
Ymorist [56]

Answer:

24

Step-by-step explanation:

4.8×5 you have 5 candy bars that are $4.80 each so you multiply that by 5.

5 0
3 years ago
Read 2 more answers
(23/6)*(6/4)*(7/5)=?
Likurg_2 [28]

Answer:

(23/6)*(6/4)*(7/5)=8.05

Hope I Helped

5 0
3 years ago
Read 2 more answers
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