(9-3x^2)+(-8x^2+4x+5)

A circle has a radius of square root 37 units and is centered at (1.3,-3.5)

steposvetlana [31]

Answer:IDK but I think you have to find wht 1.3_____3.5 and that will give you your answer

Step-by-step explanation:

7 0

3 years ago

An art student is searching for a rectangular canvas to paint on. His professor requires that both the height and width of the c

Pavlova-9 [17]

H>12 and w>12 however p≤60

p=2(h+w) but give what we have above for h and w

p>48 so p must satisfy the solution set:

48<p≤60 and since p=2(h+w)

48<2(h+w)≤60

24<h+w≤30

So there are infinitely many solutions if h and w are not restricted to integer values...

(h,w) vary from (12,18) to (18,12) Note that neither endpoints exist, 12 because it is explicitly excluded and 18 because that would make the other dimension 12 which is excluded...

Now if you are just talking integer values, there are only:

(13,17),(14,16),(15,15),(16,14),(17,13)

4 0

3 years ago

What is the closed linear form for this sequence given a1 = -15 and an + 1 = an - 8?

Elza [17]

Answer:

<h3> $a_n=-8n-7$ is the closed linear form of the given sequence.</h3>

Step-by-step explanation:

Given that $a_1=-15$ and $a_{n+1}=a_n-8$

<h3>To find the closed linear form for this given sequence :</h3>

So each of the successive term of the given sequence is decreases by 8

Therefore the common difference is -8

The given sequence is a arithmetic sequence.

The general form is $a_n=a_1+(n-1)d$

Substitute $a_1=-15$ and d=-8 in $a_n=a_1+(n-1)d$ we get

$a_n=-15+(n-1)(-8)$

$=-15-8n+8$

$a_n=-8n-7$

<h3>Therefore $a_n=-8n-7$ is the closed linear form of the given sequence.</h3>

7 0

4 years ago

Read 2 more answers

What percent of 60 is 12? Show your work.

Semmy [17]

Percent formula : is/of = %/100
is = 12
of = 60
% = x
now we sub

12/60 = x/100
cross multiply
(60)(x) = (12)(100)
60x = 1200
x = 1200/60
x = 20

check..
0.20(60) = 12
12 = 12 (correct)

so 20% of 60 is 12

7 0

3 years ago

Read 2 more answers

In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sa

Deffense [45]

Answer:

$z=\frac{0.36 -0.45}{\sqrt{\frac{0.45(1-0.45)}{50}}}=-1.279$

$p_v =P(z$

And we can use the following code to find it "=NORM.DIST(-1.279,0,1,TRUE)"

Step-by-step explanation:

Assuming this complete problem: "The CEO of a software company is committed to expanding the proportion of highly qualified women in the organization's staff of salespersons. He believes that the proportion of women in similar sales positions across the country is less than 45%. Hoping to find support for his belief, he directs you to test

H0: p .45 vs H1: p < .45.

In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sales staffs of competing organizations in the industry. The collected random sample of size 50 showed that only 18 were women.

Compute the p-value associated with this test. Place your answer, rounded to 4 decimal places, in the blank. For example, 0.3456 would be a legitimate entry."

1) Data given and notation

n=50 represent the random sample taken

X=18 represent the number of women in the sample selected

$\hat p=\frac{18}{50}=0.36$ estimated proportion of women in the sample

$p_o=0.45$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

2) Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the proportion of women is less than 0.45:

Null hypothesis: $p\geq 0.45$

Alternative hypothesis: $p < 0.45$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

3) Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.36 -0.45}{\sqrt{\frac{0.45(1-0.45)}{50}}}=-1.279$

4) Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

Since is a left tailed test the p value would be:

$p_v =P(z$

And we can use the following code to find it "=NORM.DIST(-1.279,0,1,TRUE)"

4 0

3 years ago