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dimulka [17.4K]
3 years ago
5

Please help me! Thank you!

Mathematics
1 answer:
stepladder [879]3 years ago
3 0

Answer:

he got 210 dollars in interest

Step-by-step explanation:

You might be interested in
SAT verbal scores are normally distributed with a mean of 430 and a standard deviation of 120 (based on data from the College Bo
Sav [38]

Using the <u>normal distribution and the central limit theorem</u>, it is found that there is a:

a) 0.281 = 28.1% probability that the sample mean is above 500.

b) 0.0003 = 0.03% probability that the sample mean is above 500.

In a normal distribution with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

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

  • It 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, which is the percentile of X.
  • By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation s = \frac{\sigma}{\sqrt{n}}.

In this problem:

  • The mean is of 430, hence \mu = 430.
  • The standard deviation is of 120, hence \sigma = 120.

Item a:

The probability is the <u>p-value of Z when X = 500</u>, hence:

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

Z = \frac{500 - 430}{120}

Z = 0.58

Z = 0.58 has a p-value of 0.719.

1 - 0.719 = 0.281

0.281 = 28.1% probability that the sample mean is above 500.

Item b:

Sample of 35, hence n = 35, s = \frac{120}{\sqrt{35}}

Then:

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{500 - 430}{\frac{120}{\sqrt{35}}}

Z = 3.45

Z = 3.45 has a p-value of 0.9997.

1 - 0.9997 = 0.0003

0.0003 = 0.03% probability that the sample mean is above 500.

To learn more about the <u>normal distribution and the central limit theorem</u>, you can take a look at brainly.com/question/24663213

6 0
2 years ago
Please help with my Area of sectors and Segments Question!!! Show your work please!!!!
a_sh-v [17]

Answer:

The answer is 30 sq in i had that question, good luck :)

5 0
3 years ago
Please help I am very behind on my math
Kamila [148]

Answer

20/3

Step-by-step explanation:

100/15

20/3

6.666667

5 0
2 years ago
Read 2 more answers
3p+7=34;p= <br> Please help me with this
kolbaska11 [484]

Answer:

p=9

Step-by-step explanation:

3p+7=34

3p=27

p=9

8 0
3 years ago
Hello! Please help me with this question. I’ll mark brainly! Thank you :)
Anettt [7]

Answer:

\Huge\boxed{\$ 12.12}

Step-by-step explanation:

In order to find how much credit is left after 92 minutes, we need to

1.  Figure out the equation that describes this graph (since we don't know the y-intercept)

2. Find the credit remaining after 92 minutes using the equation formed.

<h2>Figuring out the equation of this graph:</h2>

First things first is to figure out the slope of this graph. Since this is a linear function, the slope will remain constant, and we can note something about slope here.

The slope of a line will be it's change in x divided by its change in y, often referred to with a formula.

\frac{\Delta y}{\Delta x}

Since we know two points on this graph, we can find the changes in the x and y then divide for the slope.

Since minutes used is the x, and credit left is the y, we have two points.

(41, 19.26) and (68, 15.48).

  • The change in y is -3.78, as 19.26-15.48=3.87, and we decreased, so -3.78.
  • The change in x is 27 as 68-41=27, and we increased.

The slope will then be \frac{-3.78}{27} which comes out to be -0.14.

Now that we know the slope, that means our equation will look something like y = -0.14x+b - however, we still have b to solve for!

To solve for it, we can substitute one of our points in - let's do (41, 19.26) - to the equation and solve for b.

  • 19.26 =-0.14 \cdot 41 +b
  • 19.26 = -5.74+ b
  • b = 19.26+5.74
  • b = 25

Now that we know that b = 25, we can plug it into our equation, <u><em>making the final equation that represents this scenario</em></u>

y = -0.14x+25

<h2>Solving for 92 minutes</h2>

Now that we know the equation to our graph, we can substitute in 92 minutes as the x value to find our y value (credit left).

  • y = -0.14 \cdot 92 + 25
  • y = -12.88+25
  • y =12.12

Therefore, after 92 minutes, the amount of credit left is $12.12

Hope this helped!

3 0
3 years ago
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