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3 years ago

Can someone help me with with my home work i have 45 questions

Mathematics

2 answers:

Shalnov [3]3 years ago

3 0

The answer on the picture is right

DedPeter [7]3 years ago

3 0

You’re right it’s c.

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Can someone help me with this?

uysha [10]

Step-by-step explanation:

Volume of a cylinder : πr^2*height.

Volume : 150cm^3

height : 7.2m

π =3.14

150 = 3.14*r*r*7.2

150=22.608*r*r

r^2= 150/22.608

=150/23cm^2

r=√6.5

r=2.569cm

r=2.6cm

8 0

3 years ago

A textbook is opened and the product of the page numbers of the pages is 6162. What are the numbers of the pages?

ss7ja [257]

Answer:

The two page numbers are 78 and 79.

Step-by-step explanation:

Let's take the page numbers are x and x + 1 .

The produce of the page numbers is 6162

so, x(x + 1) = 6162

$x^{2} + x -6162 = 0$

Here we have to use the quadratic formula to solve for x.

The quadratic formula, x = $\frac{-b +/- \sqrt{b^2 - 4ac} }{2a}$

Here a =1, b = 1 and c = -6162

Plugging in the value of a, b and c in the above formula, we get

x = [-1 ± 157] ÷ 2

Let's take the positive value alone since the page number cannot be negative.

x = [-1 + 157] ÷2

x = 78

The next page number x + 1 = 78 + 1 = 79

Therefore, the two page numbers are 78 and 79.

6 0

3 years ago

How do you take the derivative of lnx?

Maurinko [17]

$(\ln x)'=\dfrac{1}{x}$

7 0

3 years ago

Jane must get at least three of the four problems on the exam correct to get an A. She has been able to do 80% of the problems o

NISA [10]

Answer:

a) There is n 81.92% probability that she gets an A.

b) If she gets the first problem correct, there is an 89.6% probability that she gets an A.

Step-by-step explanation:

For each question, there are only two possible outcomes. Either the answer is correct, or it is not. This means that we can solve this problem using binomial distribution probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

For this problem, we have that:

The probability she gets any problem correct is 0.8, so $\pi = 0.8$ .

(a) What is the probability she gets an A?

There are four problems, so $n = 4$

Jane must get at least three of the four problems on the exam correct to get an A.

So, we need to find $P(X \geq 3)$

$P(X \geq 3) = P(X = 3) + P(X = 4)$

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

$P(X = 3) = C_{4,3}.(0.80)^{3}.(0.2)^{1} = 0.4096$

$P(X = 4) = C_{4,4}.(0.80)^{4}.(0.2)^{0} = 0.4096$

$P(X \geq 3) = P(X = 3) + P(X = 4) = 2*0.4096 = 0.8192$

There is n 81.92% probability that she gets an A.

(b) If she gets the first problem correct, what is the probability she gets an A?

Now, there are only 3 problems left, so $n = 3$

To get an A, she must get at least 2 of them right, since one(the first one) she has already got it correct.

So, we need to find $P(X \geq 2)$

$P(X \geq 3) = P(X = 2) + P(X = 3)$

$P(X = 2) = C_{3,2}.(0.80)^{2}.(0.2)^{1} = 0.384$

$P(X = 4) = C_{3,3}.(0.80)^{3}.(0.2)^{0} = 0.512$

$P(X \geq 3) = P(X = 2) + P(X = 3) = 0.384 + 0.512 = 0.896$

If she gets the first problem correct, there is an 89.6% probability that she gets an A.

3 0

3 years ago

Find the slope of the line that passes through the following points. (-2, 8) and (3, -2)

Elodia [21]

Answer:

m=-2

Step-by-step explanation:

m=y2-y1/x2-x1

m=-2-8/3-(-2)

m=-2-8/3+2

m=-10/5

m=-2

3 0

2 years ago