All categories

1 year ago

17

Mathematics

1 answer:

BaLLatris [955]1 year ago

4 0

Answer:

Let "x" and y" be the two numbers.

We have

xy = 5/6, (1) and x/y = 15/8. (2)

Multiply (1) and (2) (both sdes). You will get

x^2 = (5*15)/(6*8) = 25/16.

Hence, x = +/- 5/4.

Next, divide (1) by (2) (both sides). You will get

y^2 = 5/6:15/8 =

(5*8)/(6*15) = 4/9.

Hence, y=+/-2\/3.

Answer. There are two solutions: (x, y)=(5\/4,2\/3) and (x,y) = (-5/4,-2/3).

// We should exclude the second solution, since the numbers are negative.

You might be interested in

A=5 what is the value of 3a^2

LuckyWell [14K]

Answer:

225

Step-by-step explanation:

A = 5. 3A = 3(5) cubed. So 3 times 5 is 15. 15 cubed is 225.

3 0

2 years ago

Consider a normal distribution curve where the middle 85 % of the area under the curve lies above the interval ( 8 , 14 ). Use t

NeTakaya

Answer:

$\mu = 11$

$\sigma = 2.08$

Step-by-step explanation:

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.

Middle 85%.

Values of X when Z has a pvalue of 0.5 - 0.85/2 = 0.075 to 0.5 + 0.85/2 = 0.925

Above the interval (8,14)

This means that when Z has a pvalue of 0.075, X = 8. So when $Z = -1.44, X = 8$ . So

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

$-1.44 = \frac{8 - \mu}{\sigma}$

$8 - \mu = -1.44\sigma$

$\mu = 8 + 1.44\sigma$

Also, when X = 14, Z has a pvalue of 0.925, so when $X = 8, Z = 1.44$

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

$1.44 = \frac{14 - \mu}{\sigma}$

$14 - \mu = 1.44\sigma$

$1.44\sigma = 14 - \mu$

Replacing in the first equation

$\mu = 8 + 1.44\sigma$

$\mu = 8 + 14 - \mu$

$2\mu = 22$

$\mu = \frac{22}{2}$

$\mu = 11$

Standard deviation:

$1.44\sigma = 14 - \mu$

$1.44\sigma = 14 - 11$

$\sigma = \frac{3}{1.44}$

$\sigma = 2.08$

7 0

2 years ago

Please help me with this

aliya0001 [1]

Answer and Step-by-step explanation:

1/2x is positive and 2 is negative, so they cross each other perpendicularly, and the equation needs to be at -13 y, 0 x

The answer is y = -2x - 13

#teamtrees #WAP (Water And Plant)

7 0

3 years ago

Is triangle prq equal to triangle Xyz ? If so, name which similarity postulatebor theorem applies.

Salsk061 [2.6K]

Answer:

I'm not sure for my answer 'cuz I just learned this but i think its A because even though the size changes, the corresponding angle measure are the same and the corresponding sides are proportional.

(Tell me if I'm wrong.)

3 0

3 years ago

Read 2 more answers

10 points if you answer this

balu736 [363]

7. 3/4 x 12 is 9 so subtract 9/12 from 12/12 to get 3/12
8. Their pizzas were all cut differently. Josh’s pizza was cut in half, Lisa’s was cut into 6 slices and Vicki’s was cut in 8 slices

6 0

2 years ago

Read 2 more answers