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SVETLANKA909090 [29]
1 year ago
10

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the inequality. E

xplain all steps and identify the properties used. 3a - 4 < 5 ►
Mathematics
1 answer:
Naily [24]1 year ago
3 0
\begin{gathered} 3a-4

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-5<br><br>x=-9<br><br>x=11<br><br>x=12<br><br>x=8<br><br>-5x+6(4x+15)=242
Lyrx [107]

-5x+6(4x+15)=242\qquad|\text{use distributive property}\\\\-5x+(6)(4x)+(6)(15)=242\\\\-5x+24x+90=242\qquad|\text{subtract 90 from both sides}\\\\19x=152\qquad|\text{divide both sides by 19}\\\\x=8

4 0
3 years ago
Read 2 more answers
Assume the random variable X is normally distributed with mean mu equals 50 and standard deviation sigma equals 7. Compute the p
drek231 [11]

Answer:

The probability that <em>X</em> is less than 42 is 0.1271.

Step-by-step explanation:

The random variable <em>X </em>follows a Normal distribution.

The mean and standard deviation are:

E (X) = <em>μ</em> = 50.

SD (X) = <em>σ</em> = 7.

A normal distribution is continuous probability distribution.

The Normal probability distribution with mean µ and standard deviation σ is given by,

f_{X}(\mu, \sigma)=\frac{1}{\sigma\sqrt{2\pi}}e^{-(x-\mu)^{2}/2\sigma^{2}};\ -\infty

To compute the probability of a Normal random variable we first standardize the raw score.

The raw scores are standardized using the formula:

z=\frac{x-\mu}{\sigma}

These standardized scores are known as <em>z</em>-scores and they follow normal distribution with mean 0 and standard deviation 1.

Compute the probability of (X < 42) as follows:

P(X

*Use a <em>z</em>-table for the probability.

Thus, the probability that <em>X</em> is less than 42 is 0.1271.

The normal curve is shown below.

6 0
3 years ago
Yooo I just had MAD diarrhea D:
kow [346]
I’m sorry I usually drink water you can lose a lot of water while doing that . Try to not a lot maybe some crackers
5 0
3 years ago
Find the volume of cylinder<br> Diameter of base is 11 cm<br> Height of cylinder is 16cm
just olya [345]

Answer:

1520.5 cm³

Step-by-step explanation:

Volume formula for cylinder: V = πr²×h

Radius = 11 ÷ 2

           = 5.5cm

Volume = π × 5.5² × 16

             =1520.5cm³

3 0
3 years ago
Calculate the percent of change: 50 pounds to 35 pounds.
Vladimir [108]
30 percent change is the answer
7 0
3 years ago
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