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3 years ago

The USS Enterprise was 1,123 feet in length.

Mathematics

1 answer:

faust18 [17]3 years ago

8 0

Answer:

The total length is 1123 feet.

a) if the model is 30 inches long, the first thing we need to do is write inches in feets, so 1 feet is equivalent to 12 inches.

so 30 inches are 30/12 = 2.5 feets.

the scale is the ratio between the feets in the the two lengths.

1123/2.5 = 449.2

so the scale is 1:449.2

so each feet in the model is equivalent to 449.2 feets in the enterprise.

b) if the model is 2 feet long, then:

1123/2 = 561.5

the scale is 1:561.5

so each feet in the model is equivalent to 561.5 feets in the enterprise.

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Assume that the random variable X is normally distributed, with mean 60 and standard deviation 16. Compute the probability P(X &

elixir [45]

Answer:

P(X < 80) = 0.89435.

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:

$\mu = 60, \sigma = 16$

P(X < 80)

This is the pvalue of Z when X = 80. So

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

$Z = \frac{80 - 60}{16}$

$Z = 1.25$

$Z = 1.25$ has a pvalue of 0.89435.

P(X < 80) = 0.89435.

5 0

3 years ago

Helppppp plz asap..............

bekas [8.4K]

Answer:

I'm pretty sure the answer is 48 feet.

Step-by-step explanation:

It can't be any of the negative answers since the question didn't start with a negative number, and it can't be 14 feet since he started with 15 feet, so it has to be 48 feet.

4 0

3 years ago

Please i need your help

Softa [21]

Answer:

x is 11

Step-by-step explanation:

${ \tt{10 + 5 + x = 26}} \\ x = 11$

6 0

3 years ago

Brainliest first & correct!

Ilia_Sergeevich [38]

Answer: Choice A

y = -3(x+2)^2 + 10

=================================================

Work Shown:

y = -3x^2-12x-2 is in the form y = ax^2+bx+c with

a = -3

b = -12

c = -2

The x coordinate of the vertex is

h = -b/(2a)

h = -(-12)/(2*(-3))

h = 12/(-6)

h = -2

We'll plug this into the original equation to find the corresponding y coordinate of the vertex.

y = -3x^2-12x-2

y = -3(-2)^2-12(-2)-2

y = 10

So k = 10 is the y coordinate of the vertex.

Overall, the vertex is (h,k) = (-2,10)

Meaning that we go from this general vertex form

y = a(x-h)^2 + k

to this

y = -3(x - (-2))^2 + 10

y = -3(x+2)^2 + 10

8 0

3 years ago

What is 2 and 2/3 x 5

Lapatulllka [165]

Answer:

13 and 1/3

Step-by-step explanation:

2×5=10

2/3 ×5 =10/3

10/3 simplifies to 3 and 1/3

Add them together to get 13 and 1/13

7 0

3 years ago