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2 years ago

Find the slope of the line through (-9, -10) and (-2, -5)

Mathematics

1 answer:

vova2212 [387]2 years ago

6 0

Step-by-step explanation:

$slope = \frac{y2 - y1}{x2 - x1}$

(-5-(-10)/(-2-(-9)=

5/7=slope

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Which of the following is a quantity that could be represented by the number

Komok [63]

Answer:

2.404 x 10^6?. A. the population of Iowa. B. the diameter (in meters) of an atom. C. the thickness (in meters) of a sheet of printer paper. D. the amount of money (in US dollars) in the average checking account. .

When 2.404 x 10^6 is expressed in another form, the number is equal to 2,404,000. The population of a place would possibly be around this number. It cannot be the diameter of an atom since the number is too large not the thickness of a paper. It is not a common case also that the money in a bank account is around this number. Answer is A.

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3 years ago

The difference between twice a number, x, and a smaller number, y, is 3. The sum of twice the number and the smaller number is-3

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A. y= 2x - 3 and y= -2x - 3

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3 years ago

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Using pythagoras theorem.

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My friend... My method wasn't wrong and I couldn't find any mistake on my procedure... Check it out and analyze it by yourself...

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2 years ago

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Write a situation that could be represented by the equation y=15x-3

Solnce55 [7]

A tree grows at a rate of 15 inches per year. However, three inches were chewed off by quasi-sadistic bunnies the first year it was planted. Fortunately, the bunnies were frightened off by the garden gnomes, and did not return. As a result the tree was able to grow unencumbered for the rest of its life.

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2 years ago

a survey amony freshman at a certain university revealed that the number of hours spent studying the week before final exams was

Marat540 [252]

Answer:

Probability that the average time spent studying for the sample was between 29 and 30 hours studying is 0.0321.

Step-by-step explanation:

We are given that the number of hours spent studying the week before final exams was normally distributed with mean 25 and standard deviation 15.

A sample of 36 students was selected.

Let $\bar X$ = sample average time spent studying

The z-score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ ~ N(0,1)

where, $\mu$ = population mean hours spent studying = 25 hours

$\sigma$ = standard deviation = 15 hours

n = sample of students = 36

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, Probability that the average time spent studying for the sample was between 29 and 30 hours studying is given by = P(29 hours < $\bar X$ < 30 hours)

P(29 hours < $\bar X$ < 30 hours) = P( $\bar X$ < 30 hours) - P( $\bar X$ $\leq$ 29 hours)

P( $\bar X$ < 30 hours) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ < $\frac{ 30-25}{\frac{15}{\sqrt{36} } }} }$ ) = P(Z < 2) = 0.97725

P( $\bar X$ $\leq$ 29 hours) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } }} }$ $\leq$ $\frac{ 29-25}{\frac{15}{\sqrt{36} } }} }$ ) = P(Z $\leq$ 1.60) = 0.94520

So, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2 and x = 1.60 in the z table which has an area of 0.97725 and 0.94520 respectively.

Therefore, P(29 hours < $\bar X$ < 30 hours) = 0.97725 - 0.94520 = 0.0321

Hence, the probability that the average time spent studying for the sample was between 29 and 30 hours studying is 0.0321.

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2 years ago