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3 years ago

9

larry,mary and terry each had a full glass of juice. larry drank 3/4 of his mary drank 3/8 of hers larry drank 3/4 of his terry

drank 7/10 of his who drank 1/2 less than there juice

1 answer:

Katena32 [7]3 years ago

3 0

3/4 is greater than 1/2

7/10 is greater than 5/10

and 3/8 is less the 4/8 (4/8=1/2)

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Please help me ill give u more points <3.

mariarad [96]

Answer:

d i believe its do but i need 20 characters

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3 years ago

Read 2 more answers

Matthew participates in a study that is looking at how confident students at SUNY Albany are. The mean score on the scale is 50.

Alex Ar [27]

Answer:

b) 6.68%

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

The mean score on the scale is 50. The distribution has a standard deviation of 10.

This means that $\mu = 50, \sigma = 10$

Matthew scores a 65. What percentage of people could be expected to score the same as Matthew or higher on this scale?

The proportion is 1 subtracted by the p-value of Z when X = 65. So

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

$Z = \frac{65 - 50}{10}$

$Z = 1.5$

$Z = 1.5$ has a p-value of 0.9332.

1 - 0.9332 = 0.0668

0.0668*100% = 6.68%

So the correct answer is given by option b.

7 0

3 years ago

in the figure below trianglePQM and triangleQRP are right triangles. the measure of lineQM is 6 and the measure of lineQP is 8.

Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

Let the length of PR be x.

Pythagoras formula

$hypotenuse^2=base^2+perpendicular^2$

Use pythagoras formula for triangle PQM.

$PM^2=QM^2+PQ^2$

$PM^2=(6)^2+(8)^2$

$PM^2=36+64$

$PM^2=100$

$PM=10$

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

$PQ^2=QR^2+PR^2$

$(8)^2=QR^2+x^2$

$64-x^2=QR^2$ .....(1)

Use pythagoras formula for triangle MQR.

$MQ^2=QR^2+MR^2$

$(6)^2=QR^2+(10-x)^2$

$36=QR^2+x^2-20x+100$

$36-x^2+20x-100=QR^2$ .... (2)

From equation (1) and (2) we get

$36-x^2+20x-100=64-x^2$

$20x-64=64$

$20x=128$

$x=6.4$

Therefore length of PR is 6.4 units and option 4 is correct.

3 0

3 years ago

The difference of the square of a number and 28 is equal to 3 times that number find the positive solution

lutik1710 [3]

<h2>The required positive number is 7.</h2>

Step-by-step explanation:

Let the number = x

To find, the positive number = ?

According to question,

$x^{2}-28=3x$

⇒ $x^{2}$ - 3x - 28 = 0

By Factorisation method,

⇒ $x^{2}$ - 7x + 4x - 28 = 0

⇒ x(x - 7) + 4(x - 7) = 0

⇒ (x - 7)(x + 4) = 0

⇒ x - 7 = 0 or, x + 4 = 0

⇒ x = 7 or, x = - 4 [ - 4 is a negative number)

⇒ x = 7

Thus, the required positive number is 7.

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slega [8]

D because it has to be a chord due to being perpendicular to a diameter

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3 years ago