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Oksana_A [137]
3 years ago
12

Suppose a submarine is diving from the surface of the water at a rate of 80 feet per minute. Which integer represents the depth

of the submarine after 7 minutes
Mathematics
1 answer:
ElenaW [278]3 years ago
4 0
-80x is the the problem

In this case, x=7

-80 times 7= -560

So -560 would be the integer that represents the depth of the submarine after 7 minutes.

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In 1998 the average income for middle class families in the US was $37,100 with a population standard deviation of $6362. We wan
sammy [17]

Answer:

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

The best answer would be:

A. Z test

Step-by-step explanation:

Data given and notation  

\bar X=36670 represent the mean average

\sigma=6362 represent the population standard deviation for the sample  

n=1225 sample size  

\mu_o =37100 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal or not to 37100, the system of hypothesis would be:  

Null hypothesis:\mu =37100  

Alternative hypothesis:\mu \neq 37100  

Since we know the population deviation, is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}} (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

The best answer would be:

A. Z test

5 0
3 years ago
Describe the transformation required to obtain the graph of the given function from the basic trigonometric graph.
Shtirlitz [24]

Answer:

Option D is correct .i.e., Vertical translation down 9 units

Step-by-step explanation:

Given Function is y = cosec x - 9

Here basic function or parent function is y = cosec x

1. When constant ' a ' is added to to parent function or basic function then the function is translated vertically upward by a units.

2.  When constant ' a ' is subtracted from parent function or basic function then the function is translated vertically downward by a units.

Therefore, Option D is correct .i.e., Vertical translation down 9 units

5 0
3 years ago
Help me please [giving brainliest to best answer with step by step]
ollegr [7]

Hi there!

\large\boxed{3\text{ }  \frac{3}{4} cm^3}

Knowing that one cube has side-lengths of 1/2, we can calculate the dimensions for the prism:

Length: 1/2 × 5 = 2.5 cm

Height: 1/2 × 3 = 1.5 cm

Width: 1/2 × 2 = 1 cm

Use this formula to solve for the volume:

V = l × w × h

Thus:

V = 2.5 × 1.5 × 1 = 3.75 cm³

Convert to fraction:

75/100 = 3/4

Thus, the volume in mixed-numbers is 3 3/4 cm³.

7 0
2 years ago
No wrong answers & NO LINKS , RIGHT answers only please.
vredina [299]

Answer:

Step-by-step explanation:

sin(x)=1.5/2.6

x=35.2

4 0
2 years ago
15. Apply Mathematics (1)(A) Suppose you have a box with a 4 X 4-in.
erastova [34]

Answer:

Step-by-step explanation:

Formula for calculating the surface area of the box S = 2(LW+LH+WH) where

L is the length of the box

W is the width of the box

H is the height of the box

If the box is square based with dimension 4 * 4in, then L = W = 4in. substituting this values given into the formula we will have;

S = 2(4(4)+4H + 4H)

S = 2(16+8H)

S = 32+16H

<em>Hence, The function that represents the surface area of this box as a </em>

<em>function of its height is S = 32+16H where H is the height of the box</em>

<em></em>

Given H = 6.5in, to evaluate the function, we will substitute h = 6.5in into the modeled equation;

S = 32+16H

S = 32+16(6.5)

S = 32+106

<em>S = 138in²</em>

<em>Hence the total surface area of the box is 138in²</em>

5 0
2 years ago
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