What is the value of x? 6 (-3 -x)

Can someone help me pls

iVinArrow [24]

Answer:

$\frac{8}{27}$

Step-by-step explanation:

$\frac{2}{3} \times \frac{2}{ 3} = \frac{4}{9}$

because its cubed, times by 2/3 again.

$\frac{4}{9} \times \frac{2}{3} = \frac{8}{27}$

hope this helps

6 0

3 years ago

Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.

CaHeK987 [17]

Answer:

$100

Step-by-step explanation:

Let C be the cost for 150 minutes of play time.

We have been given that Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.

We will use proportions to find the cost for 150 minutes of play time as proportions states that two fractions are similar.

$\frac{\text{Cost of 30 minutes of play time}}{\text{30 minutes}}=\frac{\text{Cost of 150 minutes of play time}}{\text{150 minutes}}$

Upon substituting the given value we will get,

$\frac{20}{30}=\frac{C}{150}$

Upon cross multiplying our equation we will get,

$30C=150\times 20$

Upon dividing both sides of equation by 30 we will get,

$\frac{30C}{30}=\frac{150\times 20}{30}$

$C=\frac{150\times 20}{30}$

$C=5\times 20$

$C=100$

Therefore, Quinn need $100 to pay for 150 minutes of play time.

8 0

3 years ago

Read 2 more answers

When circuit boards used in the manufacture of compact disc players are tested, the long-run percentage of defectives is 5%. Let

HACTEHA [7]

Answer:

(a) The value of P (X ≤ 2) is 0.8729.

(b) The value of P (X ≥ 5) is 0.0072.

(c) The value of P (1 ≤ X ≤ 4) is 0.7154.

(d) The probability that none of the 25 boards is defective is 0.2774.

(e) The expected value and standard deviation of X are 1.25 and 1.09 respectively.

Step-by-step explanation:

The random variable X is defined as the number of defective boards.

The probability that a circuit board is defective is, p = 0.05.

The sample of boards selected is of size, n = 25.

The random variable X follows a Binomial distribution with parameters n and p.

The probability mass function of X is:

$P(X=x)={25\choose x}0.05^{x}(1-0.05)^{25-x};\ x=0,1,2,3...$

(a)

Compute the value of P (X ≤ 2) as follows:

P (X ≤ 2) = P (X = 0) + P (X = 1) + P (X = 2)

$P(X\leq =x)=\sum\limits^{2}_{x=0}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=0.2774+0.3650+0.2305\\=0.8729$

Thus, the value of P (X ≤ 2) is 0.8729.

(b)

Compute the value of P (X ≥ 5) as follows:

P (X ≥ 5) = 1 - P (X < 5)

$=1-\sum\limits^{4}_{x=0}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=1-0.9928\\=0.0072$

Thus, the value of P (X ≥ 5) is 0.0072.

(c)

Compute the value of P (1 ≤ X ≤ 4) as follows:

P (1 ≤ X ≤ 4) = P (X = 1) + P (X = 2) + P (X = 3) + P (X = 4)

$=\sum\limits^{4}_{x=1}{{25\choose x}0.05^{x}(1-0.05)^{25-x}}\\=0.3650+0.2305+0.0930+0.0269\\=0.7154$

Thus, the value of P (1 ≤ X ≤ 4) is 0.7154.

(d)

Compute the value of P (X = 0) as follows:

$P(X=0)={25\choose 0}0.05^{0}(1-0.05)^{25-0}=1\times 1\times 0.277389=0.2774$

Thus, the probability that none of the 25 boards is defective is 0.2774.

(e)

Compute the expected value of X as follows:

$E(X)=np=25\times 0.05=1.25$

Compute the standard deviation of X as follows:

$SD(X)=\sqrt{np(1-p)}=\sqrt{25\times 0.05\times (1-0.05)}=1.09$

Thus, the expected value and standard deviation of X are 1.25 and 1.09 respectively.

8 0

4 years ago

If x is directly proportional to to y and x= 200 and y=3 find x when y=5

Amiraneli [1.4K]

Answer:

333.33

Step-by-step explanation:

x is directly proportional to y

k=y/x

k=3/200

now,

when y =5

y=kx

5=(3/200)x

1000/3=x

333.33 = x

3 0

2 years ago

Solve for y 3x+11y=-5

mars1129 [50]

$\displaystyle 3x+11y=-5\quad\Big| -3x\\\\11y=-5-3x\quad\Big|:11\\\\y= -\frac{5+3x}{11}$

6 0

4 years ago

What is the value of x? 6 (-3 -x) - 2x = 14​

What is the value of x? 6 (-3 -x) - 2x = 14