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3 years ago

Find (a) PQ to the nearest tenth and (b) the coordinates of the midpoint of __ pq.

Mathematics

1 answer:

lutik1710 [3]3 years ago

4 0

Answer:

a) 5units

b) (4.5, 4)

Step-by-step explanation:

Let the coordinate of P and Q be P(3, 2) and Q(6, 6)

PQ can be gotten using the distance formula;

PQ =√(6-2)²+(6-3)²

PQ = √4²+3²

PQ =√16+9

PQ =√25

PQ = 5units

Midpoint M is expressed as;

M(X, Y) = {(x1+x2)/2, y1+y2/2}

X = x1+x2/2

X = 3+6/2

X= 9/2

X = 4.5

Similarly;

Y = y1+y2/2

Y = 2+6/2

Y = 8/2

Y = 4

Hence the midpoint of PQ is (4.5, 4)

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In one town, the number of pounds of sugar consumed per person per year has a mean of 8 pounds and a standard deviation 3 of 20

lesantik [10]

Answer:

c. 1.67 standard deviations above the mean

Step-by-step explanation:

The z-score measures how many standard deviations a score X is from the mean. It is given by the following formula:

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

In which $\mu$ is the mean and $\sigma$ is the standard deviation.

A positive z-score means that X is above the mean, and a negative Z-score means that X i below the mean.

In this problem, we have that:

$\mu = 8, \sigma = 3$

Tyler consumed 13 pounds of sugar last year How many standard deviations from the mean is that?

This is Z when X = 13. So

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

$Z = \frac{13 - 8}{3}$

$Z = 1.67$

So this is 1.67 standard deviations above the mean.

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4 years ago

Joe's apple weighs 4\5 lb. Marta's apple weighs 0.5 lb. How much more does Joe's apple weigh than Marta's

vampirchik [111]

Joes apple weighs 4 LB more than Marta's.

4.5-0.5=4.

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3 years ago

Juan makes 75% of the goals he attempted during soccer practice. If he makes 30 goals at practice, how many does he attempt?

m_a_m_a [10]

Answer:

22.5

Step-by-step explanation:

30/4=7.5

7.5 times 3 = 22.5

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3 years ago

<img src="https://tex.z-dn.net/?f=%28x%20%2B%20k%29%20%7B%7D%5E%7B2%7D%20%20%3D%20%20%7Bx%7D%5E%7B2%7D%20%20%2B%201x%20%2B%20%20

ozzi

If we take the equation and multiply out the left side, we get....

$x^{2}$ + 2xk + $k^{2}$ = $x^{2}$ + x + $k^{2}$

The x^2 and k^2 cancel out on both sides leaving us with this...

2kx = x

If we divide both sides by 2x to isolate k, k ends up = 1/2

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4 years ago

A high school has 44 players on the football team. The summary of the players' weights is given in the box plot. Approximately,

Marina CMI [18]

Answer:

Step-by-step explanation:

The missing image is attached below.

From the given information

The number of players is 44.

From the box plot;

The minimum weight = 154 pounds

The first quartile Q₁ = 159 which is 25% of the data below 159 pounds.

The second quartile Q₂ = 213 which is 50% of the data below 213 pounds

The third quartile Q₃ = 253 which is 75% of the data below 253 pounds

The maximum weight = 268 pounds.

Here, the value of 213 is the middle value and which signifies the median.

The 50% of the data are located both on the left side and the right side of the median.

Thus, the percentage of players weighting greater than or equal to 213 pounds is 50%.

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3 years ago

Find ​(a) PQ to the nearest tenth and ​(b) the coordinates of the midpoint of __ pq.

Find (a) PQ to the nearest tenth and (b) the coordinates of the midpoint of __ pq.