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ivanzaharov [21]
3 years ago
6

Ally ran 5 miles in 36 minutes. Sami ran 6 miles. If ally ran at a faster rate then Sami, in how many minutes could Sami have ru

n 6 miles?
Mathematics
1 answer:
laiz [17]3 years ago
5 0
I believe the answer would be 6 minutes
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A mortgage firm estimates the true mean current debt of local homeowners, using the current outstanding balance of a random samp
Nat2105 [25]

Answer:

b. Using the balances of 50 homeowners rather than 35, because using more data gives a smaller margin of error

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

95% confidence interval

\alpha = \frac{1-0.95}{2} = 0.025

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.025 = 0.975, so z = 1.96

99% confidence interval

\alpha = \frac{1-0.99}{2} = 0.005

Now, we have to find z in the Ztable as such z has a pvalue of 1-\alpha.

So it is z with a pvalue of 1-0.005 = 0.995, so z = 2.575

Now, find we find the width of our confidence interval M as such

M = z*\frac{\sigma}{\sqrt{n}}

So, as n increases, the width of the confidence interval decreases.

From the examples above, we can also conclude that as the confidence level increases, so does the value of z, which means that the width of the interval increases.

Which of the following would correctly produce a confidence interval with a smaller margin of error than this 95% confidence interval?

For a smaller margin of error, we need to have a bigger sample size.

So the correct answer is:

b. Using the balances of 50 homeowners rather than 35, because using more data gives a smaller margin of error

5 0
3 years ago
What is the distance between (-2, 4) and (5, 4) on a coordinate grid?
Allisa [31]

Answer:

7 units

Step-by-step explanation:

(Background info, skip if not interested or needed for you)

The equation for distance on a cartesian plane coordinate system is based off the pythagorean theorem.

a^2 + b^2 = c^2

a and b being sides of a right triangle, c being the hypotenuse.

When we are solving for distance we are solving for c essentially.

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

Because a and b are side lengths of the right triangle, we need to find a way to find that in terms of coordinates. So here we might say that a is equal to the horizontal distance between the 2 points or Δx, and we would say that b is the vertical distance between the 2 points Δy.

(solutions)

So essentially distance is:

d = \sqrt{(x_2 - x_1)^2+ (y_2-y_1)^2 }

Now we just use the values given to us, and sub in the x and y values respectively.

(-2,4) x_1 = -2, y_1 = 4

(5,4)x_2 = 5, y_2 = 4

plug these values in:

d = \sqrt{((5) - (-2))^2+ (4-4)^2 } = \sqrt{(7)^2+ (0)^2 }  = \sqrt{7^2 } = 7

Therefore the distance is 7 units.

4 0
2 years ago
Select the polynomial that is a perfect square trinomial
netineya [11]
Its the last choice

16x^2 - 8x + 1 = (4x - 1)^2
5 0
3 years ago
Please help me with this!! (Look at the photo I attached) please help me I am confused!!
crimeas [40]

Answer:

2\frac{2}{3}

Hope this helps.

4 0
3 years ago
Read 2 more answers
Paula is given a litre bottle of water during her fitness Assessment at the gym .she drinks 375 millilitres of water .how much i
kaheart [24]

Since 1 litre is 1000 millilitres, we can convert it to 1000 millilitres. So, we can subtract 375 millilitres from 1000 millilitres. Which will give us the answer of 625 millilitres.

7 0
3 years ago
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