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3 years ago

Please help, will give brainiest to whomever gets this right.

Mathematics

1 answer:

iragen [17]3 years ago

7 0

Answer: everything except option 2 I think

Step-by-step explanation:

Rational numbers are numbers that can be written as quotients

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Factor $\frac{1}{3}$out of $\frac{1}{3}x-\frac{7}{3}$

blagie [28]

Put x-7 in the box and that should wor

5 0

3 years ago

Jane is 5 times older than her sister. In 3 years, Jane’s sister will be 1/4 her age. Find the ages now

Korolek [52]

The present age of Jane is 45 years old and present age of her sister is 9 years old

Solution:

Let the present age of Jane be "x"

Let the present age of her sister be "y"

Jane is 5 times older than her sister

present age of Jane = 5(present age of her sister)

x = 5y ---------- eqn 1

In 3 years, Jane’s sister will be 1/4 her age

Age of sister after 3 years = 3 + y

Age of jane after 3 years = 3 + x

Age of sister after 3 years = 1/4(age of jane after 3 years)

$3 + y = \frac{1}{4}(3 + x)$

Substitute eqn 1 in above equation

$3 + y = \frac{1}{4}(3 + 5y)\\\\12 + 4y = 3 + 5y\\\\5y - 4y = 12 - 3\\\\y = 9$

Substitute y = 9 in eqn 1

x = 5(9)

x = 45

Thus present age of Jane is 45 years old and present age of her sister is 9 years old

3 0

4 years ago

Find the angle of xyz Give your answer to 1 decimal place.

Gre4nikov [31]

Answer:

The value of sine of angle XYZ is equal to 0.96.

Step-by-step explanation:

Given that,

Base, b = 4 cm

Height, h = 13 cm

We need to find the sinY.

Using Pythagoras theorem,

YZ² = XY² + XZ²

YZ² = 4² + 13²

YZ = 13.60 cm

Using trigonometry,

$\sin Y=\dfrac{13}{13.60}\\\\\sin Y=0.96$

So, the value of sine of angle XYZ is equal to 0.96.

6 0

3 years ago

Which expression is equal to a x a x a x a b x b

Ivan

Variables next to each other can be regarded as being multiplied by each other, so another way to rewrite this could be A * A * A * A * B * B. From there, you can reach $a^{4} b^{2}$

6 0

3 years ago

Seventy percent of light aircraft that disappear while in flight in a certain country are subsequently discovered. Of the aircra

alukav5142 [94]

Answer:

Figure out the various probabilities first, that will make the rest of the questions easier:

P(discovered) = .7

P(not discovered) = 1 - .7 = .3

P(locator|discovered) = .6

P(no locator|discovered) = 1 - .6 = .4

P(locator|not discovered) = 1 - .9 = .1

P(no locator|not discovered) = .9

P(discovered and locator) = .7 * .6 = .42

P(discovered and no locator) = .7 * .4 = .28

P(not discovered and locator) = .3 * .1 = .03

P(not discovered and no locator) = .3 * .9 = .27

a) The total probability that an aircraft has a locator is .42 + .03 = .45. So the probability it will not be discovered, given it has a locator, is .03/.45 = .067

b) The total probability that an aircraft does not have a locator is .28 + .27 = .55. So the probability it will be discovered, given it does not have a locator, is .28/.55 = .509

c) Probability that 7 are discovered = C(10,7) * P(discovered|locator)^7 * P(not discovered|locator)^3

We already figured out P(not discovered|locator) = .067, so P(discovered|locator) = 1-.067 = .933. C(10,7) = 10*9*8, so we can compute total probability: 10*9*8 * .933^7 * .067^3 = .133

Step-by-step explanation:

3 0

4 years ago