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3 years ago

J has coordinates of (10,-2) and N has Coordinates of (-4,6). Find the midpoint of JN.

Mathematics

1 answer:

Thepotemich [5.8K]3 years ago

8 0

Midpoint of JN is at coordinates (3,2)

Step-by-step explanation:

Coordinates of j= (10,-2)

Coordinates of N = (-4,6)

We need to find midpoint of JN.

The formula used to find midpoint is:

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

We are given:

$x_1=10,x_2=-4,y_1=-2,y_2=6$

Putting values and finding midpoint of JN

$Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$Midpoint=(\frac{10-4}{2},\frac{-2+6}{2})$

$Midpoint=(\frac{6}{2},\frac{4}{2})$

$Midpoint=(3,2)$

So, midpoint of JN is at coordinates (3,2)

Keywords: Midpoint of line

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Nancy bought 3.5 gallons of gasoline. she paid 10.43. What was the price per gallon for the gasoline

schepotkina [342]

Answer:

Nancy paid 2.98 per gallon of gasoline.

Step-by-step explanation:

The price of the gasoline is given by the total amount she paid for the gasoline divided by the amount of gasoline acquired with that money. The calculations for this are shown below:

ratio = total money / total gasoline

ratio = 10.43 / 3.5

ratio = 2.98 money / gallon

Nancy paid 2.98 per gallon of gasoline.

3 0

3 years ago

In college basketball, a shot made from beyond a designated arc radiating about 20 ft from the basket is worth three points ins

denis-greek [22]

Answer:

a) By the Central Limit Theorem, the distribution would be approximately normal, with mean $\mu = 0.45$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.45*0.55}{100}} = 0.0497$

b) 4.02 standard deviations below the mean.

c) Making 25 or less shots has a pvalue of -4.02. Z-scores lower than -2 are considered surprising, so yes, it would be surprising for him to make only 25 of these shots.

Step-by-step explanation:

To solve this question, we are going to need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For proportions, we have that the mean is $\mu = p$ and the standard deviation is $s = \sqrt{\frac{p(1-p)}{n}}$

In this problem, we have that:

$p = 0.45, n = 100$

a)By the Central Limit Theorem, the distribution would be approximately normal, with mean $\mu = 0.45$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.45*0.55}{100}} = 0.0497$

b)This is Z when X = 0.25.

$Z = \frac{X - \mu}{\sigma}$

By the Central Limit Theorem

$Z = \frac{X - \mu}{s}$

$Z = \frac{0.25 – 0.45}{0.0497}$

$Z = -4.02$

4.02 standard deviations below the mean.

c) Making 25 or less shots has a pvalue of -4.02. Z-scores lower than -2 are considered

surprising, so yes, it would be surprising for him to make only 25 of these shots.

3 0

3 years ago

(10 points) Joe’s parents bought him a new car for his birthday. They paid $6990 for a car that was originally priced at $7599.

Andru [333]

Answer:

91.99%

Step-by-step explanation:

To find what percentage of $7599 is $6990, we simply need to divide $7599 by $6990 and multiply by 100:

6990 / 7599 * 100 = 91.99%

Therefore, they paid 91.99% of the original price.

5 0

4 years ago

Pete and Teegan each put the same amount of money in a new bank account. Teegan's account earns 2.75% simple interest, and she e

ss7ja [257]

Answer:

Step-by-step explanation:

Let us assume that Pete and Teegan each put an amount of $P in a new bank account.

Teegan's account earns 2.75% simple interest and she earned $2.20 in interest after one year.

P = $80

Now, this $80 in Pete's account earns 5% simple interest.

Then after one year Pete will earn as interest 80x5/100 = 4 Dollars.

Therefore your answer is $4.

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3 years ago

What is the sum of entries a32 and b32 in A and B? (matrices)

Katyanochek1 [597]

Answer:

The correct answer is option D. 13

Step-by-step explanation:

From the figure we can see two matrices A and B

<u>To find the sum of a₃₂ and b₃₂</u>

From the given attached figure we get

a₃₂ means that the third row second column element in the matrix A

b₃₂ means that the third row second column element in the matrix B

a₃₂ = 4 and b₃₂ = 9

a₃₂ + b₃₂ = 4 + 9

= 13

The correct answer is option D. 13

4 0

4 years ago

Read 2 more answers