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Gekata [30.6K]
3 years ago
11

Pls answer this with an explanation if you can pg4 pt1

Mathematics
2 answers:
lesya [120]3 years ago
5 0

I don't know the official answer but I can confirm for you that it is either C or D. I just don't remember how to determine which way the sign goes. Sorry

Serhud [2]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Please see attached picture for full solution.

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An English professor assigns letter grades on a test according to the following scheme. A: Top 15% of scores B: Scores below the
lisabon 2012 [21]

Answer:

59 to 66

Step-by-step explanation:

Mean test scores = u = 74.2

Standard Deviation = \sigma = 9.6

According to the given data, following is the range of grades:

Grade A: 85% to 100%

Grade B: 55% to 85%

Grade C: 19% to 55%

Grade D: 6% to 19%

Grade F: 0% to 6%

So, the grade D will be given to the students from 6% to 19% scores. We can convert these percentages to numerical limits using the z scores. First we need to to identify the corresponding z scores of these limits.

6% to 19% in decimal form would be 0.06 to 0.19. Corresponding z score for  0.06 is -1.56 and that for 0.19 is -0.88 (From the z table)

The formula for z score is:

z=\frac{x-u}{\sigma}

For z = -1.56, we get:

-1.56=\frac{x-74.2}{9.6}\\\\ x = 59

For z = -0.88, we get:

-0.88=\frac{x-74.2}{9.6}\\\\ x = 66

Therefore, a numerical limits for a D grade would be from 59 to 66 (rounded to nearest whole numbers)

7 0
3 years ago
a six sided number cube has faces with the numbers 1 through 6 marked on them. what is the probability that a number less than 2
iris [78.8K]

Solution:

we are given that

A six sided number cube has faces with the numbers 1 through 6 marked on them.

we have been asked to find the probability that a number less than 2 will occur on one toss of the number cube.

Since a number less than 2 is only one and that is "1" and total number of possible outcome is 6.

and as we know that probability is given using the formula

P(E)= \frac{n(E)}{n(S)}\\ \\

Substitute the values we get

P(E)= \frac{1}{6}

Hence the required probability is 1/6.

5 0
3 years ago
Read 2 more answers
Write the standard form of an equation of an ellipse subject to the given conditions.
irina [24]

Answer:

The answer is below

Step-by-step explanation:

The standard form of the equation of an ellipse with major axis on the y axis is given as:

\frac{(x-h)^2}{b^2} +\frac{(y-k)^2}{a^2} =1

Where (h, k) is the center of the ellipse, (h, k ± a) is the major axis, (h ± b, k) is the minor axis, (h, k ± c) is the foci and c² = a² - b²

Since the minor axis is at (37,0) and (-37,0), hence k = 0, h = 0 and b = 37

Also, the foci is at (0,5) and (0, -5), therefore c = 5

Using c² = a² - b²:

5² = a² - 37²

a² = 37² + 5² = 1369 + 25

a² = 1394

Therefore the equation of the ellipse is:

\frac{x^2}{1369}+ \frac{y^2}{1394} =1

6 0
2 years ago
janelle has $75. She buys jeans that are discounted 30% and then uses an in-store coupon for $10 off the discounted price. After
kicyunya [14]

If you want to the know the total price of the jeans, with discount coupon and sales tax then it's $15.76

$75 x 0.30 = $22.50

$22.50 - $10 = $12.50

$12.50 + $3.26 = $15.76

7 0
3 years ago
At 3 a.M. The temperature is -5 degrees Fahrenheit between 3 a.M. And 6 a.M. The temperature dropped by 12 degrees Fahrenheit be
LuckyWell [14K]

What I would do is subtract 12 from -5. Then you would have -17. Then you would add 4 and it would be -13. So your answer is:

<h2><em>-13</em></h2>

8 0
3 years ago
Read 2 more answers
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