Let n = 4.

Fabio and Gwen are saving money to buy a new gaming station. They need at least $510 to purchase the new gaming station. Gwen we

vaieri [72.5K]

x represents the number of lawns weeded by Gwen and y represents the number of dogs walked by Fabio.

Gwen charges $12 each time she weeds a yard and Fabio charges $9 each time he walks a dog.

So, for x number of weeds, Gwen earned 12x and for y number of dogs walked, Fabio earned 9y.

They need at least $510 to purchase the new gaming station.

Therefore,

12x + 9y ≥ 510

Also, the number of dog walks that Fabio has scheduled should not be more than twice the number of yards Gwen has scheduled to weed.

Therefore,

y ≤ 2x

Also, Fabio will walk at least 25 dogs.

Therefore,

y ≥ 25

Hence, the constraints are:

12x + 9y ≥ 510

y ≤ 2x

y ≥ 25

8 0

3 years ago

Which of the following is NOT a requirement of testing a claim about a population proportion using a formal method of hypothesis

Pie

Answer:

A. The lowercase symbol, p, represents the probability of getting a test statistic at least as extreme as the one representing sample data and is needed to test the claim.

Step-by-step explanation:

The conditions required for testing of a claim about a population proportion using a formal method of hypothesis testing are:

1) The sample observations are a simple random sample.

2) The conditions for a binomial distribution are satisfied

3) The conditions np5 and nq5 are both satisfied. i.e n: p≥ 5and q≥ 5

These conditions are given in th options b,c and d.

Option A is not a condition for testing of a claim about a population proportion using a formal method of hypothesis testing.

8 0

3 years ago

A 1,000 mL solution of acetic acid contains 26 mL of pure acetic acid. Find the percent concentration of this solution.

Mrac [35]

Given:

Total solution : 1000mL

Pure acetic acid = 26mL

To find:

The percent concentration of given solution.

Solution:

We know that,

$\text{Percent concentration}=\dfrac{\text{Pure acetic acid}}{\text{Total solution}}\times 100$

Putting the given values, we get

$\text{Percent concentration}=\dfrac{26}{1000}\times 100$

$\text{Percent concentration}=\dfrac{26}{10}$

$\text{Percent concentration}=2.6$

Therefore, the percent concentration of this solution is 2.6%.

6 0

3 years ago

PLEASE I need help on these 4 problems you don’t have to do them all but if you can at least do one of them TYSM

Brrunno [24]

Answer:

For right angle triangle,

we use Pythagoras theorem that is:

$c^{2} =a^{2} +b^{2}$

c = $\sqrt{a^{2} +b^{2} }$

For question 1:

c = ?

a = 40

b = 9

putting them in formula,

c = $\sqrt{40^{2} + 9^{2} }$

c = 41

For question 2:

c = ?

a = 12

b = 13

putting them in formula,

c = $\sqrt{12^{2} + 13^{2} }$

c = approximately 17.69181

For question 3:

c = 35

a = 20

b = ?

putting them in formula,

$c^{2} =a^{2} +b^{2}$

$35^{2} = 20^{2} + b^{2}$

1225 = 400 + $b^{2}$

$b^{2}$ = 1225 - 400

$b^{2}$ = 825

$\sqrt{b^{2} } = \sqrt{825}$

b = 5 $\sqrt{33}$

For question 4:

c = 37

a = 20

b = ?

putting them in formula,

$c^{2} =a^{2} +b^{2}$

$37^{2} = 20^{2} + b^{2}$

1369 = 400 + $b^{2}$

$b^{2}$ = 1369 - 400

$b^{2}$ = 969

Taking square root on both sides

b = 31.12

Hope it helps.

4 0

3 years ago

(x - 3)2 + (y + 2)2 = 4

vazorg [7]

As a function this is x=3 y=3

4 0

3 years ago

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