All categories

4 years ago

HELP!!!!

Mathematics

1 answer:

OverLord2011 [107]4 years ago

4 0

Answer:

Step-by-step explanation:

You just need the distance formula here. It's very simple to follow:

$d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }$

which, for us, looks like this:

$d=\sqrt{(13-4)^2+(19-7)^2}$ and

$d=\sqrt{9^2+12^2}$ and

$d=\sqrt{81+144}$ and

$d=\sqrt{225}$ so

d = 15

You might be interested in

Stephanie goes shopping on Sunday. She

just olya [345]

Started with: $60
left with: $10
items bought: 20

60 - 10 = 50 < amount spent

50/20 = amount spent/items bought
= $ 2.50 < each chocolate

you can check this by multiplying the items bought and the amount each item cost to get how much you spent

20 × 2.5 = 50

Stephanie started off with 60 dollars and ended with 10 dollars

60 - 50 = 10

hope this helps :)

4 0

3 years ago

8m > 67 Which value of m satisfies the inequality? A.5 B.6 C.8 D.9

PSYCHO15rus [73]

Answer:

Step-by-step explanation:

A is wrong because 8 x 5 = 40

40 < 67

B is wrong because 8 x 6 = 30

48 < 67

C is wrong because 8 x 8 = 64

64 < 67

D is correct because 72 > 67

Hope this helps!! ♥︎

8 0

3 years ago

Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best po

mina [271]

Answer:

(a) The point estimate for the population proportion p is 0.34.

(b) The margin of error for the 99% confidence interval of population proportion p is 0.055.

Step-by-step explanation:

A point estimate of a parameter (population) is a distinct value used for the estimation the parameter (population). For instance, the sample mean $\bar x$ is a point estimate of the population mean μ.

Similarly, the the point estimate of the population proportion of a characteristic, p is the sample proportion $\hat p$ .

The (1 - α)% confidence interval for the population proportion p is:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The margin of error for this interval is:

$MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

The information provided is:

$\hat p=0.34\\n=500\\(1-\alpha)\%=99\%$

(a)

Compute the point estimate for the population proportion p as follows:

Point estimate of p = $\hat p$ = 0.34

Thus, the point estimate for the population proportion p is 0.34.

(b)

The critical value of z for 99% confidence level is:

$z={\alpha/2}=z_{0.01/2}=z_{0.005}=2.58$

*Use a z-table for the value.

Compute the margin of error for the 99% confidence interval of population proportion p as follows:

$MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$=2.58\sqrt{\frac{0.34(1-0.34)}{500}}$

$=2.58\times 0.0212\\=0.055$

Thus, the margin of error for the 99% confidence interval of population proportion p is 0.055.

(c)

Compute the 99% confidence interval of population proportion p as follows:

$CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}$

$CI=\hat p\pm MOE$

$=0.34\pm 0.055\\=(0.285, 0.395)$

Thus, the 99% confidence interval of population proportion p is (0.285, 0.395).

6 0

4 years ago

HELP HELP HELP QUICKLY

Hoochie [10]

Using it's concept, it is found that the domain of the function $f(x) = \sqrt[4]{x}$ is given by:

A. $0 \leq x \leq \infty$ .

<h3>What is the domain of a function?</h3>

It is the set that contains all possible input values for the function.

In this problem, we have the fourth root, which is an even root, that can only be calculated for non-negative values, hence the domain is given by:

A. $0 \leq x \leq \infty$ .

More can be learned about the domain of a function at brainly.com/question/10891721

#SPJ1

4 0

2 years ago

A city has a population of 310,000 people.Suppose that each year the population grows by 6.5% . What will the po

brilliants [131]

Answer:

546,397 people

Step-by-step explanation:

We solve for the above question, using the formula for Exponential growth

The formula is given as

P(t) = Po (1 + r)^t

Po = Initial population = 310,000

r = Exponential growth rate = 6.5% = 0.065

t = Time in years = 9

P(t) = Population size after time t

Hence:

P(t) = 310,000 × (1 + 0.065)⁹

P(t) = 546,396.82088 people

Approximately =546,397 people

The population will be 546,397 people after 9 years.

4 0

3 years ago