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Wittaler [7]
3 years ago
15

Sean walks ¾ of a mile in 15 minutes. At the same pace, how far can Sean walk in 1 hour and 20 minutes? Explain

Mathematics
1 answer:
Pavlova-9 [17]3 years ago
5 0
1 hr plus 20 minutes
Then that answer divided by 15
Then that answer multiply by 3/4
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Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3
aliina [53]

Answer:

C) more than the absolute value of the critical value, we can conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.

Step-by-step explanation:

Hello!

Interest hypothesizes is " the average monthly rate for one-bedroom assisted-living facility is equal to $3300" symbolically: μ = 3300

The study variable is:

X: Monthly rate for a one-bedroom assisted-living facility.

Since there is no information about the distribution of the variable, to be able to study the population mean, I'll assume that the variable has a normal distribution.

The hypothesis is:

H₀: μ = 3300

H₁: μ ≠ 3300

α: 0.05

The statistic to use, considering that there is no known population information and the sample size, is a Student t:

t= <u> X[bar] - μ </u> ~t_{n-1}

       S/√n

n= 12

X[bar]= $3690

S= $530

Using the sample data, calculate the statistic value:

t= <u> 3690 - 3300 </u> = 2.549

       530/√12

The rejection region for this test is two-tailed, with critical values:

t_{n-1; \alpha /2} = t_{11; 0.025} = -2.201

t_{n-1;1-\alpha /2} = t_{11; 0.975} = 2.201

The decision rule is:

Reject the null hypothesis if t ≤ -2.201 or if t ≥ 2.201

Not reject the null hypothesis if -2.201 < t < 2.201

Since the calculated value (2.549) is greater than the right critical value (2.201) the decision is to reject the null hypothesis.

With a signification level of 5%, there is enough evidence to reject the null hypothesis. This means that the population mean of the monthly rate for a one-bedroom assisted living facility is different from $3300.

I hope it helps!

7 0
2 years ago
Amelia competed in a race in which she ran at a constant speed. A graph that represents the relationship between the number of s
Zolol [24]

Answer:

B (3, 13.5)

Step-by-step explanation:

Using point (0,0) and (15, 67.5) we can find the slope(gradient).

(y - y¹) / (x - x¹) = (67.5 - 0) / (15 - 0)

= 67.5 / 15 = 4.5

slope = 4.5

using the point given in option A (0, 4.5) with point (15, 67.5) to calculate the slope it gives 4.2 which is not equal to what we calculated.

using the option B (3, 13.5) with (15, 67.5) gives a slope of 4.5 which is equal to the slope of the line.

3 0
3 years ago
What equation represents the line that passes through points (1.-5) and (3 -17)?
zzz [600]

ALL LINES CAN BE REPRESENTED IN THE FORM f(x) = ax+b.

We know that:

f(1) = -5 \implies a\cdot(1)+b = -5 \implies a+b = -5

and

f(3) = -17 \implies a\cdot(3) +b = -17 \implies 3a+b = 17

Observe that:

3a+b = 2a+a+b = 2a+(a+b)

So:

2a+(a+b) =-17

But we know that a+b = -5, so:

2a+(a+b) =-17

2a+(-5) = -17

2a = -12

a = -6

Since:

a+b = -5

(-6)+b = -5

b = 1

So the line is:

f(x) = 1-6x

5 0
3 years ago
Round 5.03 to 1 decimal place
balandron [24]
5.03 rounded to 1 decimal place is 5.0
3 0
3 years ago
Read 2 more answers
What is an equivalent to -16m^2n-(-25m^2n)+(-7m^2n)
pantera1 [17]

Answer:

The equivalent expression is:

-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)=2m^2n

Step-by-step explanation:

Given the expression

-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)

\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a,\:-\left(-a\right)=a

=-16m^2n+25m^2n-7m^2n

\mathrm{Add\:similar\:elements:}\:-16m^2n+25m^2n-7m^2n=2m^2n

=2m^2n

Therefore, the equivalent expression is:

-16m^2n-\left(-25m^2n\right)+\left(-7m^2n\right)=2m^2n

7 0
2 years ago
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