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3 years ago

9

Help with calculus please?

1 answer:

Kazeer [188]3 years ago

3 0

Wait let me know that the .12 means in the first question and i will fix the answer

int (x)(cosx) dx

u=x ----> take derivative du=dx
dv=cosx -----> take integral v=sinx

now use integration by parts

u v - int (v)du
x sinx - int (sinx) (1) dx=

x sinx - (-cos(x)) + c =

answer is = x sinx + cosx + c

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You're conducting a significance test for H0 : p = .35, Ha : p < .35. In a sample of size 40, you identify a count of 11 succ

nordsb [41]

Answer: c. –1 and .1587

Step-by-step explanation:

As per given , we have

Null hypothesis : $H_0 : p= 0.35$

Alternative hypothesis : $H_1 : p< 0.35$

Since Alternative hypothesis is left-tailed ,so the test must be a left tailed test .

Z -Test statistic for proportion = $z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

, where p= population proportion

$\hat{p}$ = sample proportions

n= Sample size.

Let x be the number of successes.

For n= 40 and x= 11

$\hat{p}=\dfrac{x}{n}=\dfrac{11}{40}=0.275$

Then , $z=\dfrac{0.275-0.35}{\sqrt{\dfrac{0.35(1-0.35)}{40}}}$

$z=\dfrac{-0.075}{\sqrt{0.0056875}}$

$z=\dfrac{-0.075}{0.075415515645}$

$z=-0.99449031619\approx-1$

By using z-table ,

P-value for left-tailed test = P(z<-1)= 1-P(z<1) [∵ P(Z<-z)= 1-P(Z<z) ]

= 1-0.8413

=0.1587

Hence, the -score and P-value are <u>–1 and 0.1587</u> .

So the correct option is c. –1 and .1587

8 0

3 years ago

A rectangular room is 3 times as long as it is wide, and its perimeter is 32 meters. Find the dimension of the room.

romanna [79]

The correct answer would be a length of 12 meters long

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3 years ago

William purchased 76.9 feet of fencing for his back yard. He realized after measuring, that he still needed an additional 25.7 f

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3 years ago

Wendy's mother recorded how many donuts she has eaten over the past few months. Jelly-filled donuts 6 maple donuts 53 glazed don

coldgirl [10]

Answer:

$P(\text{Powdered sugar donut})=\dfrac{1}{15}$ .

Step-by-step explanation:

It is given that Wendy's mother recorded how many donuts she has eaten over the past few months.

Jelly-filled donuts = 6

Maple donuts = 53

Glazed donuts = 11

Powdered sugar donuts = 5

Now,

Total number of donuts = 6 + 53 + 11 + 5 = 75

We need to find the experimental probability that the next donut Wendy eats will be a powdered sugar donut.

$P(\text{Powdered sugar donut})=\dfrac{\text{Powdered sugar donuts}}{\text{Total number of donuts}}$

$P(\text{Powdered sugar donut})=\dfrac{5}{75}$

$P(\text{Powdered sugar donut})=\dfrac{1}{15}$

Therefore, $P(\text{Powdered sugar donut})=\dfrac{1}{15}$ .

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