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3 years ago

15

Anais a math tracher noticed that the average grade on an exam, G, given that n students watch the related video can be given by

the function G(n)=50+1.5n.

2 answers:

Ket [755]3 years ago

6 0

This is what I got for the answer tell me if I’m wrong

snow_lady [41]3 years ago

3 0

Answer:

95 - 1.5m

Step-by-step explanation:

G(S(m))=G(30-m)

=50+1.5(30 - m)

simplify

=50+1.5(30 - m)

=50+45 - 1.5m

=95 - 1.5m

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Mrs. Brown deposits $22,150 into a savings account that will earn 3% simple interest per year.

Andrei [34K]

Answer: 23498.935

Step-by-step explanation:

this helped me in middle school so please remember this equation

A=P(1+R/N)NT

A=AMOUNT

P=PRINCIPAL

R=INTEREST RATE

N=NUMBERS OF TIMES THE INTEREST IS COMPOUNDED

NT=TIME(YEARS

So now we have this... right...

A=P(1+R/N)NT

you have to fill it in and you will get

a=22,150(1+3/1)^2

put that in your handy dandy calculator and you will get your answer

3 0

3 years ago

How to do this question plz

scoray [572]

Answer:

112 students

Step-by-step explanation:

Please see the attached picture for full solution.

5 0

3 years ago

Answer the question with explanation;

PSYCHO15rus [73]

Answer:

The statement in the question is wrong. The series actually diverges.

Step-by-step explanation:

We compute

$\lim_{n\to\infty}\frac{n^2}{(n+1)^2}=\lim_{n\to\infty}\left(\frac{n^2}{n^2+2n+1}\cdot\frac{1/n^2}{1/n^2}\right)=\lim_{n\to\infty}\frac1{1+2/n+1/n^2}=\frac1{1+0+0}=1\ne0$

Therefore, by the series divergence test, the series $\sum_{n=1}^\infty\frac{n^2}{(n+1)^2}$ diverges.

EDIT: To VectorFundament120, if $(x_n)_{n\in\mathbb N}$ is a sequence, both $\lim x_n$ and $\lim_{n\to\infty}x_n$ are common notation for its limit. The former is not wrong but I have switched to the latter if that helps.

7 0

2 years ago

Read 2 more answers

PLEASE HELP WITH EXPLAINING I WILL MARK BRAINIES!!!

Drupady [299]

Answer: 3 mph

Step-by-step explanation:

1. 1/2 mph for 1/2 an hour as they said, meaning that they would've walked for 3 miles kn an hour.

2. 4 and 1/2 miles.

3 + 1 2/4. = 4 1/2

3. 1 3/4 hours.

3 + 2.25 = 5.25

3 x .75 = 2.25

3 miles per hour.

8 0

3 years ago

Historical data for a local manufacturing company show that the average number of defects per product produced is 2. In addition

charle [14.2K]

Answer:

The probability that there will be a total of 7 defects on four units is 0.14.

Step-by-step explanation:

A Poisson distribution describes the probability distribution of number of success in a specified time interval.

The probability distribution function for a Poisson distribution is:

$P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}, x=0,1,2,3,...$

Let <em>X</em> = number of defects in a unit produced.

It is provided that there are, on average, 2 defects per unit produced.

Then in 4 units the number of defects is, $(2\times4)=8$ .

Compute the probability of exactly 7 defects in 4 units as follows:

$P(X = x)=\frac{e^{-\lambda}\lambda^{x}}{x!}\\P(X=7)=\frac{e^{-8}8^{7}}{7!}\\=\frac{0.0003355\times2097152}{5040}\\ =0.1396\\\approx0.14$

Thus, the probability of exactly 7 defects in 4 units is 0.14.

8 0

3 years ago