100 students take a course pass/fail. If they pass they get 4 points towards their GPA, if they fail they get 0. If 90 students pass, what is the mean and standard deviation (to 1 decimal) of the points earned?Mean: _______a0

Standard Deviation: _________a1

Answers

Answer 1
Answer: Given:
100 students:
pass = + 4
fail =+ 0

90 students passed: 90 * 4 = 360
10 students failed: 10 * 0 = 0

mean: 360 / 100 = 36

standard deviation: 
36 - 4 = 32 ⇒ 32² = 1,024 * 90 = 92,160
36 - 0 = 36 ⇒ 36² = 1,296 * 10 = 12,960

92,160 + 12,960 = 105,120
105,120 / 100 = 1,051.20 ⇒ variance

Standard deviation = √1,051.20 = 32.42


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Solve 5w-8 divide 3=4w+2

Answers

(5w-8)/(3)=4w+2\ \ \ \ \ |multiply\ both\ sides\ by\ 3\n\n5w-8=3(4w+2)\n\n5w-8=3(4w)+3(2)\n\n5w-8=12w+6\ \ \ \ \ |add\ 8\ to\ both\ sides\n\n5w=12w+14\ \ \ \ \ |subtract\ 12w\ from\ both\ sides\n\n-7w=14\ \ \ \ \ |divide\ both\ sides\ bhy\ (-7)\n\n\boxed{w=-2}

Which of the following is NOT a characteristic of an inner planet? A. rocky B. solid surface C. near the sun D. made mostly of gas

Answers

it is D, made mostly of gas. that's an outer planet characteristc.

The correct answer is D. Made mostly of gas. Hope this helps! :)

There are 850 Douglas fir and Ponderosa pine trees in a section of forest bought by Karamazov Logging Co. The company paid an average of $300 for each Douglas fir and $225 for each Ponderosa pine. If the company paid $217,500 for the trees, how many of each kind did the company buy?

Answers

use the equations 300x + 225y= 217500 and x + y= 850 to solve

Manuel's job pays $11.50 per hour for a 40-hour work week.If Manuel worls over forty hours,he earns 1.5 times his hourly pay for each extra hour worked.How much is Manuel paid by his employer if he works 46 hours each week?

Answers

Hopes you understand my work

Final answer:

Manuel gets paid $460 for the first 40 hours of work, and an additional $103.50 for the 6 hours of overtime, making his total weekly pay $563.50 if he works 46 hours per week.

Explanation:

To calculate Manuel's weekly wage based on his hourly rate, we first need to consider his regular work hours and his overtime hours separately.

For his regular work hours, which are the first 40 hours, Manuel is paid at his regular hourly rate of $11.50. Therefore, his earnings for the 40 hours are: 40 hours * $11.50/hour = $460.

If he works more than 40 hours in a week, the additional hours are considered overtime.

For these extra hours, he is paid 1.5 times his regular pay. In this case, Manuel worked 46 hours, so he had 6 hours of overtime. His overtime earnings are: 6 hours * 1.5 * $11.50/hour = $103.50.

Adding these together, in a 46-hour week, Manuel's total earnings would be $460 + $103.50 = $563.50.

Learn more about overtime pay here:

brainly.com/question/33119947

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Priya has $30 to spend at the school festival. Admission is $4 and each ride ticket is $2. Which inequality represents the greatest number of ride tickets she can buy2n+4<30
2n+3>30
2n+4≤30
2n+4≥30

Answers

Answer:

4 + 2n ≤ 30

Step-by-step explanation:

  • Priya has $30 to spend at the school festival.
  • Each ride ticket costs $2, and the admission is $4.
  • So, the cost of n ride tickets would be 2n dollars.
  • The total cost of the admission and ride tickets would be the sum of the admission and the cost of ride tickets: 4 + 2n.
  • We want to find an inequality that ensures the total cost does not exceed $30.
  • In other words, we want 4 + 2n to be less than or equal to 30.

Now, let's represent this in an inequality:

4 + 2n ≤ 30

Which of the following is a polynomial function in standard form with zeros at –8, –1, and 3?A) f(x) = (x + 8)(x + 1)(x – 3)
B) f(x) = x^3 – 6x^2 – 19x + 24
C) f(x) = x^3 + 6x^2 – 19x – 24
D) f(x) = (x – 8)(x – 1)(x + 3)

Answers

Answer:

Option: C is the correct answer.

The polynomial in standard form is:

   C)    f(x)=x^3+6x^2-19x-24

Step-by-step explanation:

The standard form of a equation of a polynomial is written as :

  We arrange the terms from least to highest power of x.

We know that if a polynomial has roots as:

a, b and c then the equation of the polynomial is given by:

f(x)=(x-a)(x-b)(x-c)

Here we  have: a= -8 , b= -1 and c=3

Hence, the equation of the circle is given  by:

f(x)=(x-(-8))(x-(-1))(x-3)\n\n\nf(x)=(x+8)(x+1)(x-3)

which on expanding gives:

(x+8)(x+1)(x-3)=(x^2+9x+8)(x-3)\n\n(x+8)(x+1)(x-3)=x^3-3x^2+9x^2-27x+8x-24\n\n(x+8)(x+1)(x-3)=x^3+6x^2-19x-24

Hence, the standard equation of the polynomial is:

         f(x)=x^3+6x^2-19x-24

The answer is A because zeros of polynomial functions are found by setting each factor equal to zero and solving for x. The zeros of a function will be the opposite sign of the numbers inside each factor.