All categories

3 years ago

-(12 + 4x) = -40what is x

Mathematics

2 answers:

Oksanka [162]3 years ago

8 0

Answer: x=7

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−(12+4x)=−40

−4x+−12=−40(Distribute)

−4x−12=−40

Step 2: Add 12 to both sides.

−4x−12+12=−40+12

−4x=−28

Step 3: Divide both sides by -4.

−4x

−4

−28

−4

sineoko [7]3 years ago

8 0

the answer to that question is 7

You might be interested in

"Which graph represents 2x-5y <157

Murrr4er [49]

Answer:

Look at the attachment

Step-by-step explanation:

4 0

3 years ago

If a man earns $200 for his first 40 hours of work in a week and then is paid one and one half times his regular rate for any ad

Luba_88 [7]

<span>200/40=5 5/2=2.5 2.5+5=7.5 30/7.5 = 4 hours</span>

5 0

4 years ago

Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate

yKpoI14uk [10]

Answer:

a) 0.5588

b) 0.9984

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 24

Standard Deviation, σ = 6.4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(score between 20 and 30)

$P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{6.4} \leq z \leq \displaystyle\frac{30-24}{6.4}) = P(-0.62 \leq z \leq 0.94)\\\\= P(z \leq 0.94) - P(z < -0.62)\\= 0.8264 - 0.2676 = 0.5588 = 55.88\%$

$P(20 \leq x \leq 30) = 55.88\%$

b) Sampling distribution

Sample size, n = 22

The sample will follow a normal distribution with mean 24 and standard deviation,

$s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{6.4}{\sqrt{22}} =1.36$

c) P(mean score of sample is between 20 and 30)

$P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{1.36} \leq z \leq \displaystyle\frac{30-24}{1.36}) = P(-2.94 \leq z \leq 4.41)\\\\= P(z \leq 4.41) - P(z < -2.94)\\= 1 - 0.0016 = 0.9984 = 99.84\%$