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Alex17521 [72]
3 years ago
14

It's it's urgent can someone please help me​

Mathematics
1 answer:
Novosadov [1.4K]3 years ago
4 0

Answer:

1. D

2. F

3. F

4. C

5. F

6. B

Step-by-step explanation:

1. To find the slope, take two points from the table (in this case I'll use points (-3, 7) and (-1, 4)) and put them into the expression: \frac{y2-y1}{x2-x1}

\frac{4-7}{-1-(-3)}

Solve:

4 - 7 = -3

-1 - (-3) = -1 + 3 = 2

The slope is -\frac{3}{2}

2. I used the same process I used in number 1 using the points (-2, 4) and

(1, -1)

3. The slope of both equations represents how much each t-shirt was sold for. This means that whichever equation has a higher slope made greater profits. The slope of store B is 3.75 - we know this because the equation given is in y = mx, where m is the slope. To find the slope of store A, use the method I used in question 1 using two points from the graph ( I used points (0, 0) and (10, 40)). The slope of store A is 4, which is greater than 3.75, meaning that Store A made a greater profit per t-shirt.

4. To find the slope and y-intercept of this equation, let's convert the equation to slope-intercept form, y= mx + b, where m is the slope and b is the y-intercept. To do this we have to isolate the y:

y + 9x = -6

Subtract 9x from both sides to isolate the y:

y + 9x - 9x = -6 - 9x

y = -6 - 9x

This equation can also be written as: y = -9x - 6

Now we can see that the slope is -9 and the y-intercept is -6.

5. Slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept. Slope is also known as rise over run. Looking the graph, for every  2 points it decreases on the y-axis, it increases by 1 on the x-axis. This can be written as -2/1, or simply -2. To find the y-intercept, find the point on the graph where the line intersects the y-axis. In this case, it's at y = -1. Now that we know the values of our slope and y-intercept, we can put them into the equation:

y = mx + b

y = -2x - 1

6. The y-intercept represents the amount Alice will have to pay for the game center before she pays for any guests. This value is $100.

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Answer:

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Step-by-step explanation:

5 0
3 years ago
The sum of three numbers is 86. The third number is 4 times the first. The first number is 10 more than the second. What are the
Leona [35]

Answer:

The first number is 16

The second number is 6

The third number is 64

Step-by-step explanation:

The information from the word problem are;

The count of the numbers in the sum = 3 numbers

The value of the sum of the three numbers = 86

The value of the third number = 4 × The value of the first number

The value of the first number = 10 + The value of the second

Let 'x' represent the first number, let 'y' represent the second number and let 'z' represent the third number, we have;

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x = y + 10...(3)

From equation (3), we get;

x = y + 10

∴ y = x - 10...(4)

Substituting the value of <em>z</em> from equation (2) and the value of <em>y</em> from equation (4) in equation (1) gives;

x + y + z = 86

z = 4 × x = 4·x

y = x - 10

∴ x + y + z = x + (x - 10) + 4·x = 86

x + (x - 10) + 4·x = x + x - 10 + 4·x = 6·x - 10 = 86

6·x = 86 + 10 = 96

∴ x = 96/6 = 16

x = 16

From equation (2), we get;

z = 4 × x

∴ z = 4 × 16 = 64

z = 64

From equation (4), we get

y = x - 10

∴ y = 16 - 10 = 6

y = 6

Therefore; x = 16, y = 6, and z = 64

The numbers are 16, 6, and 64

8 0
3 years ago
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Answer:

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Step-by-step explanation:

6 0
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The clearance between a pin and the collar around it is important for the proper performance of a disc drive for small computers
hichkok12 [17]

Answer:

(a) The distribution of (Y - X) is <em>N</em> (0.001, 0.0005).

(b) The probability that the pin will not fit inside the collar is 0.023.

Step-by-step explanation:

The random variable <em>X</em> is defined as the diameter of the pin and the random variable <em>Y</em> is defined as the diameter of the collar.

The distribution of <em>X</em> and <em>Y</em> is:

X\sim N(0.525, 0.0003)\\Y\sim N(0.526, 0.0004)

The random variables <em>X</em> and <em>Y</em> are independent of each other.

(a)

Compute the expected value of (Y - X) as follows:

E(Y-X)=E(Y)-E(X)=0.526-0.525=0.001

The mean of (Y - X) is 0.001.

Compute the variance of (Y - X) as follows:

V(Y-X)=V(Y)+V(X)-2Cov(X,Y)\\=V(Y)+V(X);\ X\ and\ Y\ are\ independent\\=0.0003^{2}+0.0004^{2}\\=0.00000025

SD(Y-X)=\sqrt{0.00000025}=0.0005

The standard deviation of (Y - X) is 0.0005.

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(b)

Compute the probability of [(Y - X) ≤ 0] as follows:

P(Y-X\leq 0)=P(\frac{(Y-X)-\mu_{Y-X}}{\sigma_{Y-X}}\leq \frac{0-0.001}{0.0005})=P(Z

*Use a <em>z</em>-table for the probability value.

Thus, the probability that the pin will not fit inside the collar is 0.023.

8 0
3 years ago
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tankabanditka [31]
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