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Answer: p-value ≈ 0.08

Step-by-step explanation:

The approximate p-value of the test is 0.0136 as per the data given in question.

The p value is a number calculated from a statistical test that describes the likelihood of finding a specific set of observations if the null hypothesis is true.

To find the approximate p-value of the test, we need to compare the sample proportion p^ to the hypothesized proportion p0 = 10% under the null hypothesis H0:p=10% vs. Ha:p>10%.

Since the sample size n is large (n = 150) and the null hypothesis assumes a normal distribution.

We can use the normal approximation to the binomial distribution. Under the null hypothesis, the test statistic z is given by:

z = (p^ - p0) / sqrt(p0 * (1 - p0) / n)

Plugging in the values, we get:

z = (0.14 - 0.1) / sqrt(0.1 * 0.9 / 150)

z = 2.22

The approximate p-value for this one-tailed test can be found by looking up the area to the right of z = 2.22 under the standard normal distribution.

Using a standard normal distribution table or calculator, we find that the area to the right of z = 2.22 is approximately 0.0136.

Therefore, the approximate p-value of the test is 0.0136. This means that if the true proportion of left-handed art students at the university is 10%, there is approximately a 1.36% chance of getting a sample proportion of 14% or higher by random chance alone.

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Answer:

70cm

Step-by-step explanation:

Perimeter of square= 4×Side

280/4=Side

70=Side

70cm

hope it helps

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Perimeter of square = 4a

280 = 4a

a =

[tex]280 \div 4 = 7 0 [/tex]

y = cos (x) y = cos (x) The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

Cos function defines in all range the domain of the y = cos(x) will be all real number.

The domain input value for the six basic trigonometric operations is the angle of a right triangle, and the result is a range of numbers.

The trigonometric function is only valid for the right angle triangle and it is 6 functions which are given as sin cos tan cosec sec cot.

It will be possible to comprehend the graphs, domains, differentiation, and integration of the four quadrants' trigonometric functions.

The domain of the function y=cos(x) is all real numbers.

Cosine is defined as any angle measure

The range of the angle y will be -1 to 1 which is −1≤y≤1.

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Answer:

The recycling incentive was effective at  5% significance level.

Step-by-step explanation:

The null and alternative hypothesis are

H0 u1≤  u2 against the claim Ha: u1> u2

or

H0 ud=0 against the claim  Ha: ud > 0

The significance level is ∝=0.05

Data given

d`= 3.78

sd= 1.33

n= 10

The test statistic is

t= d`/ sd/ √n

t= 3.78/1.33/√10

t= 9.3889

The critical region for  ∝=0.05 and df.= (n-1)= 9 is t> 1.833

Since the calculated value of t lies in the critical region it is concluded that  new recycling incentive would increase the number of people that seperate their garbage from recyclable items.

H0 is rejected and Ha is accepted.

Problem 1

Operation = Subtraction

Estimated answer = 8 dollars

----------------------------

Explanation:

The regular price is estimated at $45, while the sale price is estimated at $37. The two subtract to get 45-37 = 8 dollars, which is about how much you save if you go for the discount price.

The actual amount saved is 45.32-36.50 = 8.82

==========================================================

Problem 2

Operation = Division

Estimated answer = 75 cents

----------------------------

Explanation:

$3.45 rounds to $3

Divide this over 4 to get 3/4 = 0.75, meaning each battery is 75 cents

The actual cost per battery is 3.45/4 = 0.86 dollars = 86 cents.

==========================================================

Problem 3

Operation = Division

Estimated answer = $10

----------------------------

Explanation:

Round $37.45 to the nearest ten to get $40; we could round to 37 but that's an oddball number in my opinion compared to 40. Plus 40 is divisible by 4, leading to 40/4 = 10. Each person chips in about 10 dollars.

The actual amount each person pays is 37.45/4 = 9.36

==========================================================

Problem 4

Operation = Multiplication

Estimated answer = 180 miles

----------------------------

Explanation:

18.75 rounds to 20, which we multiply by 9 to get 180

So the car can travel about 180 miles on 9 gallons. This is an overestimate because 18.75 rounded up to 20

The actual value is 18.75*9 = 168.75

Answer:

135

Step-by-step explanation:

Answer:

1 2 4 and 6 i believe these are right i checked

Answer:

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Step-by-step explanation:

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Answer: 126.66 m²

Step-by-step explanation: The pertinent area formula is a = πr², where r is the radius.  here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

Answer:

[tex]-\frac{14}{25}[/tex]

Step-by-step explanation:

I took the test. (iready)

Answer:

4

Step-by-step explanation:

Answer:

(x-4)(x+8)

Step-by-step explanation:

Answer: f(3)=g(3)

Step-by-step explanation:

The graphs intersect at x = 3.

The statement "f(6) = g(3)" is true.The correct option is A.

A graph is a structure that amounts to a set of items where some pairs of objects are in some manner "related" in discrete mathematics, more specifically in graph theory.

From the graph, we can see that the value of f(6) is 2, and the value of g(3) is also 2.

The statement "f(3) = g(3)" may or may not be true, as we do not know the values of f(3) and g(3) from the graph.

The statement "f(3) = g(6)" is not true, as the value of f(3) on the graph is -2, and the value of g(6) is 4.

The statement "f(6) = g(6)" is also not true, as the value of f(6) on the graph is 2, and the value of g(6) is 4.

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Answer:

15.38%

Step-by-step explanation:

There are 4 7's in a deck of 52 cards.

There are 4 Aces in a deck of 52 cards.

4+4 = 8

8/52, or 15.38%

=================================================

Explanation:

There are four cards labeled "7", and four cards that are aces. We have 4+4 = 8 cards that we want to find. This is out of 52 total.

The probability we're after is 8/52 = (4*2)/(4*13) = 2/13

2/13 = 0.1538 = 15.38% approximately

Answer:

49.2%

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

The percent decrease in the number of people who went to the pool over these four​ weeks was of 20%.

Step-by-step explanation:

Percent decrease:

The percent decrease is the decrease multiplied by 100 and divided by the initial value.

Decrease was of:

Second week: - 125

Third week: - 125 + 145

Fourth week: -125 + 145 - 224 = -204

Decrease was of 204.

Percent decrease:

Initially 1,020, then a decrease of 204. So

204*100%/1020 = 20%

The percent decrease in the number of people who went to the pool over these four​ weeks was of 20%.

Answer: 20%

Step-by-step explanation: jst trust me im gang frl nd i wont get it wrong i promi

Answer:

f(x) = 5*sin( (5/4)*x) + 2

Step-by-step explanation:

A general sine function can be written as:

f(x) = A*sin(w*x) + M

Where:

A is the amplitude

w is the frequency of the function

M is the midline

Here we know that we want to have:

An amplitude of 5. Then, A  = 5

A midline of 2, then M = 2

And a period of (8/5)*pi

For now, we can write our function as:

f(x) = 5*sin(w*x) + 2

Now, we know that for a function of period T, is always true that:

f(x) = f(x + T)

here, the period is T = (8/5)*pi

knowing that sin(0) = sin(2*pi)

Then we must have:

sin(0) = sin(w*0) = sin(w*( 0 +  (8/5)*pi)) = sin(2*pi)

Then the arguments of the third and fourt parts must be the same, thus:

w*(8/5)*pi = 2*pi

We can solve this for w now:

w*(8/5) = 2

w = 2*(5/8) = (5/4)

Then the function is:

f(x) = 5*sin( (5/4)*x) + 2

Answer:

sorry but I am not able to answer the question

Answer:

No

Step-by-step explanation:

The given point does not satisfy the first equation.

 y = -8(3) -3 = -27

 4 ≠ -27 . . . . . the first equation is not satisfied.

Answer: No

Step-by-step explanation:

Plug x and y into y=-8x-3 and calculate:

4 = -24 - 3

4 ≠ 27

Therefore (3,4) is not a solution of the system of equations.

Answer:

The correct answer is B. George’s computer is expected to have a value of $25 greater.

Step-by-step explanation:

Since Chelsea bought a computer on Monday for $ 1,300, and its value is predicted to decrease by $ 250 per year, while her brother George also bought a computer on Monday, and the function g (x) = 1,100 - 175x predicts how the value of his computer is expected to change after x years, to determine whose computer is expected to have a greater value when it is 3 years old, and how much greater will it be, the following calculation must be performed:

Chelsea:

1,300 - (250 x 3) = X

1,300 - 750 = X

550 = X

George:

1,100 - (175 x 3) = X

1,100 - 525 = X

575 = X

Therefore, George’s computer is expected to have a value of $ 25 greater.

C

How far is the boat from the shoreline? C. 686 ft.

Answer:

A=44yd²

Step-by-step explanation:

Step 1 [tex]4\frac{2}{5}-1\frac{1}{4}[/tex]

Step 2 [tex]4\frac{2*4}{5*4} - 1 \frac{1*5}{4*5}[/tex]

Step 3 [tex]4 \frac{8}{20} - 1 \frac{4}{20}[/tex]

Step 4a  [tex]4 - 1 = 3[/tex]

Step 4b [tex]\frac{8}{20} - \frac{4}{20} = \frac{4:4}{20:4} = \frac{1}{5}[/tex]

Step 5 (final answer)  [tex]3\frac{1}{5}[/tex]