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3 years ago

9

Solve the equation4x²+3xy= 2y²+803x²+xy=2y²+48

1 answer:

Ad libitum [116K]3 years ago

8 0

Answer:

x=K and y=3/2K sorry if im wrong :/

Step-by-step explanation:

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A gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than

Neko [114]

Answer:

The probability that no more than 70% would prefer to start their own business is 0.1423.

Step-by-step explanation:

We are given that a Gallup survey indicated that 72% of 18- to 29-year-olds, if given choice, would prefer to start their own business rather than work for someone else.

Let $\hat p$ = <u><em>sample proportion of people who prefer to start their own business</em></u>

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion who would prefer to start their own business = 72%

n = sample of 18-29 year-olds = 600

Now, the probability that no more than 70% would prefer to start their own business is given by = P( $\hat p$ $\leq$ 70%)

P( $\hat p$ $\leq$ 70%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.70-0.72}{\sqrt{\frac{0.70(1-0.70)}{600} } }$ ) = P(Z $\leq$ -1.07) = 1 - P(Z < 1.07)

= 1 - 0.8577 = <u>0.1423</u>

The above probability is calculated by looking at the value of x = 1.07 in the z table which has an area of 0.8577.

3 0

3 years ago

1. Find the Least Common Multiple of these two monomials:<br> See picture

gtnhenbr [62]

Answer:

<em>The last choice is correct</em>

<em /> $LCM=120a^4b^7c^5$ <em />

Step-by-step explanation:

<u>Least Common Multiple (LCM)</u>

To find the LCM we can follow this procedure:

List the prime factors of each monomial.

Multiply each factor the greatest number of times it occurs in either factor.

We have two monomials:

$12a^4b^2c^5$

$40a^3b^7c^1$

The prime factors of the first monomial are:

$2^2,3,a^4,b^2,c^5$

The prime factors of the second monomial are:

$2^3,5,a^3b^7c^1$

LCM = Multiply $2^3*3*5*a^4*b^7*c^5$

These are all the factors the greatest number of times they occur.

Operating:

$LCM=8*15*a^4*b^7*c^5$

$\boxed{LCM=120a^4b^7c^5}$

The last choice is correct

3 0

3 years ago

Find the value of x in the isosceles triangle shown below.

miss Akunina [59]

Answer:

D. x=4

Step-by-step explanation:

We can solve this with the Pythagorean Theorem for the right triangle that we can see (which is half of the triangle).

The bottom length is 3 and the hypotenuse is 5.

The Pythagorean Theorem is a²+b²=c².

We can plug this in:

3²+x²=5²

9+x²=25

x²=16

x=4

8 0

3 years ago

2) If events A and B are DEPENDENT, then A) A and B must occur together. B) A and B cannot occur together. C) A's occurrence can

jonny [76]

Answer:

by 5

Step-by-step explanation: because tgey wou;d nred help

6 0

3 years ago

Read 2 more answers

Use the Pythagorean Theorem to find the missing side. C=8, a=4, find b. Simplify your answer. Use a radical expression in lowest

DanielleElmas [232]

4^2+b^2=8^2
16+b^2=64
-16. -16
b^2= 48
Sq root each side
b= sq rt 16 sq rt 3
b= 4 sq rt 3

7 0

3 years ago

Read 2 more answers