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3 years ago

Can someone solve this

Mathematics

1 answer:

marin [14]3 years ago

7 0

Answer:

So the side with the red square is 90 degrees. Anytime you see that that's what it will be. The inside of the triangle should equal 180 so 90 + 60 is 150. 180-150 = 30

Two side lengths are 90 and 30.

Step-by-step explanation:

If the x and y are pythagorean theorem then a2+b2=c2

If not then y= 120

and x= 150

the outside should equal 360

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he response times for a random sample of 40 medical emergencies were tabulated. The sample mean is 13.25 minutes. The population

Gwar [14]

Answer:

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

The EMS director wants to service goal of 12 minutes or less is being achieved

Step-by-step explanation:

Step(i):-

Given that the size of the random sample = 40

Given that the mean of the sample (x ⁻) = 13.25

Given that the standard deviation of the Population = 3.2 minutes

Level of significance = 0.05

The mean of the Population (μ) = 12

Step(ii):-

Null hypothesis:-H₀: (μ) = 12

Alternative Hypothesis: H₁ : μ < 12

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }$

Z = 2.5

The tabulated value Z₀.₀₅ = 1.96

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

Final answer:-

The EMS director wants to service goal of 12 minutes or less is being achieved

3 0

3 years ago

I need help with this question. Question in image. Show working out to answer

Andreyy89

Answer:

Step-by-step explanation:

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Kisachek [45]

The average rate of the change from x = 2 to x = 5 is about 20 , The domain is constrained at x =0

<h3>What is a Function ?</h3>

A function is a mathematical statement used to derive a relation between a dependent variable and an independent variable.

A) The vertical axis of the graph shows a company's profit f(x), in dollars, depending on the price of pencils x, in dollars, sold by the company , i.e is the x axis .

So the x-intercepts represent prices of the pencil at which the profit is 0

and The maximum value of the graph represents the maximum profit that can be obtained for any price of the pencil.

The Profit is increasing from (x = 0 to 5) and starts decreasing from x =5 to 10

B) From the graph

(f(5) -f(2))/(5 -2) = (160-100)/3 = 20

The average rate of the change from x = 2 to x = 5 is about 20.

This indicates that the profit will increase at a an average rate of $20 for each $1 increase in price in that interval.

(C)The domain is constrained at x =0 as there it cannot be concluded that if the price is 0 , the profit will be 0 , and we are obligated to sell the pencil at x =6 , as the maximum profits are booked at that point.

To know more about Function

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A rental car company charges $40 per day to rent a car and $0.06 for every mile driven. Aaden wants to rent a car, knowing that:

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Step-by-step explanation:

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