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3 years ago

Which BEST describes the construction of a triangle if given one side length of 10 cm and one right angle?

1 answer:

5 0

D because it can't be unique since many triangles can share these characteristics. It can't be more than one triangle and the triangle is possible.

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The taxi and takeoff time for commercial jets is a random variable x with a mean of 8.4 minutes and a standard deviation of 3.5

Lorico [155]

Answer:

0.6672 is the required probability.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 8.4 minutes

Standard Deviation, σ = 3.5 minutes

We are given that the distribution of distribution of taxi and takeoff times is a bell shaped distribution that is a normal distribution.

According to central limit theorem the sum measurement of n is normal with mean $\mu$ and standard deviation $\sigma\sqrt{n}$

Sample size, n = 37

Standard Deviation =

$=\sigma\times \sqrt{n} = 3.5\times \sqrt{37}=21.28$

P(taxi and takeoff time will be less than 320 minutes)

$P( \sum x < 320) = P( z < \displaystyle\frac{320 - 37(8.4)}{21.28}) = P(z < 0.4323)$

Calculation the value from standard normal z table, we have,

$P(\sum x < 320) =0.6672 = 66.72\%$

0.6672 is the probability that for 37 jets on a given runway, total taxi and takeoff time will be less than 320 minutes.

7 0

3 years ago

In a parallelogram if AB = 3x + 2y and AB = 30 what is the value of x and y

Sergeeva-Olga [200]

We can put the two equations together with substitution, and we get

3x + 2y = 30

Now we have a single equation in two variables, so we don't have enough information to solve for both x and y.

5 0

3 years ago

Write and solve a word problem that can be represented with 240 is less than or equal to 2x

Pavlova-9 [17]

2 times the amount of cookies Sarah sold is no less than 240, the amount of cookies Kelly sold.

5 0

3 years ago

What’s the length of three pieces of pipe if they all equal 72m

MAXImum [283]

Answer:

72 × 3 = 216m

216 m is the combined length

6 0

2 years ago

Towing charge 30$ plus $3 per mile if I paid $117 how far was the car towed

max2010maxim [7]

117 - 30 = 87

87/3 = 29

The car was towed 29 miles

hope this helps

5 0

3 years ago