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sladkih [1.3K]
3 years ago
10

Enter the answer to the nearest tenth. Another home business has an average income of $1.200.00 per month with a standard deviat

ion of $100.00. If the income in a given month is $1,030.00, what z-score corresponds to this value?
1 0

-1.5

-1.7

the answer is D.-1.7
Mathematics
1 answer:
Nonamiya [84]3 years ago
5 0

Answer: -1.7

Step-by-step explanation:

Given : Another home business has an average income of $1.200.00 per month with a standard deviation of $100.00.

i.e.\mu=\$1200.0

\sigma=\$100.00

Let x represents the monthly income.

Since . z=\dfrac{x-\mu}{\sigma}

For x= 1030 , we have

z=\dfrac{1030-1200}{100}=-1.7

Hence, the required z-score = -1.7

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A ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is h-48t -16t^2.
Marat540 [252]

Answer:

36 feet.

Step-by-step explanation:

We have been given that a ball is thrown upward from ground level. Its height h, in feet, above the ground after t seconds is h(t)=-48t -16t^2. We are asked to find the maximum height of the ball.

We can see that our given equation is a downward opening parabola, so its maximum height will be the vertex of the parabola.

To find the maximum height of the ball, we need to find y-coordinate of vertex of parabola.

Let us find x-coordinate of parabola using formula x=-\frac{b}{2a}.

x=-\frac{-48}{2(-16)}

x=-\frac{48}{32}

x=-\frac{3}{2}

So, the x-coordinate of the parabola is -\frac{3}{2}. Now, we will substitute x=-\frac{3}{2} in our given equation to find y-coordinate of parabola.

h(t)=-48t -16t^2

h(-\frac{3}{2})=-48(-\frac{3}{2})-16(-\frac{3}{2})^2

h(-\frac{3}{2})=-24(-3)-16(\frac{9}{4})

h(-\frac{3}{2})=72-4*9

h(-\frac{3}{2})=72-36

h(-\frac{3}{2})=36

Therefore, the maximum height of the ball is 36 feet.

3 0
3 years ago
What is the solution in both interval and graph form of "x>2 or x>-1"?​
tangare [24]

Answer:

Step-by-step explanation:

2>-1

so solution is x>2

6 0
2 years ago
Would love some help !!
denis-greek [22]

Answer:

7963.9

Step-by-step explanation:

hope this helps

4 0
2 years ago
Could you help me with this question? It would help a lot.
Nataliya [291]

Answer:

C

Step-by-step explanation:

Constant proportionality is measured by y. In this case it would be 25.

7 0
3 years ago
Read 2 more answers
Four Oranges at Juicy Deals grocery store cost $6. For the price of $15 you can buy 10 oranges. Truth or False: The realationshi
Paul [167]
False

Explanation :
You would get more than 10 you would actually get about 14 oranges for $15
5 0
3 years ago
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