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3 years ago

Given 2x - y = 6, solve for y

1 answer:

6 0

Y = 2x-6

Just move the y to the other side (add y so it gets pushed to the right) then subtract the six from the right to the left side.

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The random variable x represents the number of computers that families have along with the corresponding probabilities. Find the

Elena L [17]

Answer:

The correct option is (d).

Step-by-step explanation:

The complete question is:

The random variable x represents the number of computers that families have along with the corresponding probabilities. Use the probability distribution table below to find the mean and standard deviation for the random variable x.

x : 0 1 2 3 4

p (x) : 0.49 0.05 0.32 0.07 0.07

(a) The mean is 1.39 The standard deviation is 0.80

(b) The mean is 1.39 The standard deviation is 0.64

(c)The mean is 1.18 The standard deviation is 0.64

(d) The mean is 1.18 The standard deviation is 1.30

Solution:

The formula to compute the mean is:

$\text{Mean}=\sum x\cdot p(x)$

Compute the mean as follows:

$\text{Mean}=\sum x\cdot p(x)$

$=(0\times 0.49)+(1\times 0.05)+(2\times 0.32)+(3\times 0.07)+(4\times 0.07)\\\\=0+0.05+0.64+0.21+0.28\\\\=1.18$

The mean of the random variable x is 1.18.

The formula to compute variance is:

$\text{Variance}=E(X^{2})-[E(X)]^{2}$

Compute the value of E (X²) as follows:

$E(X^{2})=\sum x^{2}\cdot p(x)$

$=(0^{2}\times 0.49)+(1^{2}\times 0.05)+(2^{2}\times 0.32)+(3^{2}\times 0.07)+(4^{2}\times 0.07)\\\\=0+0.05+1.28+0.63+1.12\\\\=3.08$

Compute the variance as follows:

$\text{Variance}=E(X^{2})-[E(X)]^{2}$

$=3.08-(1.18)^{2}\\\\=1.6876$

Then the standard deviation is:

$\text{Standard deviation}=\sqrt{\text{Variance}}$

$=\sqrt{1.6876}\\\\=1.2990766\\\\\approx 1.30$

Thus, the mean and standard deviation for the random variable x are 1.18 and 1.30 respectively.

The correct option is (d).

3 0

3 years ago

°°°°°°°°°°°°°________________°°°°°°°°°°°°°°°°

Igoryamba

Complementary angles add up to 90 degrees whereas Supplementary angles add up to 180 degrees.

If this helps can I please have brainiest? Thanks

3 0

3 years ago

Read 2 more answers

Find the number of students who like both peanut butter and jam. *

netineya [11]

Answer:

4 students

Step-by-step explanation:

As shown in the diagram, let U=[The total number of students questioned]

$\implies n(U) = 10$

A=[Those who liked peanut butter ]

$\implies n(A) =18$

B=[Those who liked jam ]

$\implies n(B) = 10$

x = those who like both peanut butter and jam.

Also 6 liked neither peanut butter nor jam.

From the diagram we can write the mathematical equation as follow and solve for x

$30 = 18 - x + x + 10 - x + 6$

$\implies 30 = 34- x$

We add x and subtract 30 to both sides.

$\implies 30 - 30 + x = 34- x + x - 30$

$\implies x = 4$

Therefore 4 students like both peanut butter and jam.

6 0

3 years ago

Jamie has8/10 of a candy bar left over. He wants to split it into 1/3 pieces. How many 1/3 pieces can he make?

gtnhenbr [62]

You would have 24 1/3 pieces.

5 0

3 years ago

Read 2 more answers

The area of Sahara desert is 7 times the area of the Gobi Desert. If the sum of their areas is 4,000,000 square miles, find the

ryzh [129]

X=area of Sahara.
y=area of the Gobi Desert.
We suggest this system equations:
x+y=4000000
x=7y
solve by susbstitution method.
(7y)+y=4,000,000
8y=4,000,000
y=4,000,000 / 8=500,000

x=7y
x=7(500,000)=3,500,000

The area of Sahara=3,500,00 miles².
The area of the Gobi Desert=500,000 miles²

To check:
Te sum of their areas is : 3,500,000 miles²+500,000 miles²=4,000,000 miles²
Te area of sahara (3,500,000 miles²) is 7 times the area of the Gobi Desert (7*500,000 miles²=3,500,000 miles²).

4 0

3 years ago