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3 years ago

13

The distance from Talamunda to Velcicrita is 700 miles. The train takes 5 hours to travel the distance. At what unit rate is the

train traveling?

2 answers:

erica [24]3 years ago

4 0

The train's rate 140 mph. 700 divided by 5 equals 140.

polet [3.4K]3 years ago

4 0

The answer is 140, because 700 divided by five is 140.

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The mean student loan debt for college graduates in Illinois is $30000 with a standard deviation of $9000. Suppose a random samp

Nataly [62]

Answer:

the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

Step-by-step explanation:

Given that:

Mean = 30000

Standard deviation = 9000

sample size = 100

The probability that the mean student loan debt for these people is between $31000 and $33000 can be computed as:

$P(31000 < X < 33000) = P( X \leq 33000) - P (X \leq 31000)$

$P(31000 < X < 33000) = P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}} )- P( \dfrac{X - 30000}{\dfrac{\sigma}{\sqrt{n}}} \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}} )$

$P(31000 < X < 33000) = P( Z \leq \dfrac{33000 - 30000}{\dfrac{9000}{\sqrt{100}}} )- P(Z \leq \dfrac{31000 - 30000}{\dfrac{9000}{\sqrt{100}}} )$

$P(31000 < X < 33000) = P( Z \leq \dfrac{3000}{\dfrac{9000}{10}}}) -P(Z \leq \dfrac{1000}{\dfrac{9000}{10}}})$

$P(31000 < X < 33000) = P( Z \leq 3.33)-P(Z \leq 1.11})$

From Z tables:

$P(31000 < X$

$P(31000 < X$

Therefore; the probability that the mean student loan debt for these people is between $31000 and $33000 is 0.1331

8 0

2 years ago

The equation of a circle is ( x - 3) 2 + ( y + 2) 2 = 25. The point (8, -2) is on the circle.

Shtirlitz [24]

Answer:

x =8 is the equation of the tangent.

Step-by-step explanation:

Here the equation of the given circle is: $(x-3)^{2} + (y+2)^{2} = 25$

Now, comparing it with the general equation of circle: $(x-h)^{2} + (y -k)^{2} = r^2$

we get the central coordinates (h,k) = (3,-2)

So, the slope of the line joining center and (8, -2) = $\frac{-2 -(-2)}{8-3} = \frac{0}{5} = 0$

Since the slope of line = 0, line is parallel to x axis.

Now, as tangent and the line is perpendicular to each other

⇒Slope of the tangent = -1/ slope of the line = $\frac{-1}{0}$

Now, by point slope formula: the equation of the tangent is

(y-y0) = m (x-x0)

or, $(y +2) = \frac{-1}{0} (x -8)$

or x =8 is the equation of the tangent.

8 0

2 years ago

If he spends $2,000, then he has 1/6 of the original amount left. how much money did he have originally?

Elina [12.6K]

He had 3000 originally do 3000 divided by 1/6 and i got 3000 by 6 x 500

5 0

3 years ago

Solve the inequality. 5(x + 1) – 10 ≥ 2x + 3(x + 2)

Elina [12.6K]

There are no values of x that make the inequality true
No solution.

4 0

2 years ago

Select an operation to make the equation true.

MrRa [10]

Add. I’m not sure because there is a - besides the 15.

Explanation - 12 + 15 = 27.

Hopefully this helps. Have a blessed one. God loves you. ☺️

3 0

2 years ago