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2 years ago

F. Katrina dove 14 feet down in the water and then went up 7 feet.

Mathematics

1 answer:

Mandarinka [93]2 years ago

8 0

Answer: -7

Step-by-step explanation:

Down = -

Up = +

Therefore we know to subtract 14 and add 7,

next we do 0 - 14 = -14,

after that we do -14 + 7 = -7,

so we get -7 as the answer.

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Find the volume and explain please ASAP.

olya-2409 [2.1K]

Answer:

1395in^3

Step-by-step explanation:

First find the volume of the cuboid, 15in x 9in x 7in = 945in^3

Then find the volume of the rectangular pyramid using the formula V=lwh/3, the total height is 17in so subtract the height of the cuboid from the total height, giving you 10in.

V=(15in)(9in)(10in)/3 = 450in^3

450in^3 + 945in^3 = 1395in^3

3 0

3 years ago

What is the value of x in the equation LaTeX: \frac{3}{2}\left(4x-2\right)-3x=5-\left(x+2\right) 3 2 ( 4 x − 2 ) − 3 x = 5 − ( x

Helen [10]

Answer:

3/2

Step-by-step explanation:

Given the equation 3/2(4x-2)-3x = 5-(x+2)

Open the parenthesis

3/2(4x) - 3/2(2) -3x = 5-x-2

6x-3-3x = 3-x

3x-3 = 3-x

Collect like terms

3x+x = 3+3

4x = 6

Divide both sides by

4x/4 = 6/4

x = 3/2

Hence the value of x is 3/2

6 0

3 years ago

Find the distance between the points A(2, 3) and B(4, 1).

kherson [118]

Answer:

sqrt(8) or 2.828

Step-by-step explanation:

You use the distance formula which is sqrt((x2-x1)^2+(y2-y1)^2) where x2 can be either x value

6 0

2 years ago

Read 2 more answers

A sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8. If the sample mean corre

jeka57 [31]

Answer:

The value of the sample mean is 78.

Step-by-step explanation:

We are given that a sample of n = 4 scores is obtained from a population with a mean of 70 and a standard deviation of 8.

Also, the sample mean corresponds to a z score of 2.00.

Let $\bar X$ = sample mean

The z-score probability distribution for a sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean = 70

$\sigma$ = standard deviation = 8

n = sample size = 4

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

Now, we are given that the sample mean corresponds to a z score of 2.00 for which we have to find the value of sample mean;

So, z-score formula is given by ;

z-score = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{\frac{8}{\sqrt{4} } }$

2.00 = $\frac{\bar X-70}{4 } }$

$\bar X = 70+(2 \times 4)$

$\bar X$ = 70 + 8 = 78

Therefore, the value of the sample mean is 78.

3 0

3 years ago

Pllllllllllllzzzzzzzzzzzzz Heeeeeeeellllllllllppppppppppp!!!!

FrozenT [24]

Answer:

Option C. Independent Variable: time, Dependent Variable: net profit

Graph starts out rising and starts falling mid-year. At the beginning of 2006 it is at the minimum value and begins rising again before staying at a fairly constant rate for the remainder of the year

Step-by-step explanation:

In this problem

Let

x------> the time

y-----> the net profit

we know that

The independent variable is the time (variable x)

The dependent variable is the net profit (variable y)

see the attached figure to better understand the problem

4 0

3 years ago