All categories

3 years ago

Solve the inequality: 3(k + 2) -3 < 15

Mathematics

1 answer:

grin007 [14]3 years ago

6 0

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

k < 4

Interval Notation:

(−∞, 4)

You might be interested in

one town, 64% of adults have health insurance. What is the probability that 10 adults selected at random from the town all have

Katena32 [7]

Answer:

The probability that 10 adults selected at random from the town all have health insurance is 0.01153.

Step-by-step explanation:

Consider the provided information.

One town, 64% of adults have health insurance.

Let p = 64% = 0.64

Therefore, q=1-0.64=0.36

We need to find the probability that 10 adults selected at random from the town all have health insurance

Use the formula: $P(x)=^nC_r(p)^r(q)^{n-r}$

Here, the value of r is 10.

Substitute the respective values in the above formula.

$P(x)=^{10}C_{10}(0.64)^{10}(0.36)^{10-10}$

$P(x)=(0.64)^{10}(0.36)^{0}\\P(x)=(0.64)^{10}\\P(x)\approx0.01153$

Hence, the probability that 10 adults selected at random from the town all have health insurance is 0.01153.

3 0

3 years ago

A. a B o C <img src="https://tex.z-dn.net/?f=%20%5Ctimes%20%20%2B%206%20%5Ctimes%20%2B%2019" id="TexFormula1" tit

adoni [48]

Answer:

Step-by-step explanation:

8 0

3 years ago

At a fixed operating setting, the pressure in a line downstream of a reciprocating compressor has a mean value of 950 kPa with a

prisoha [69]

Answer:

4.75% probability that the line pressure will exceed 1000 kPa during any measurement

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 950, \sigma = 30$

What is the probability that the line pressure will exceed 1000 kPa during any measurement

This is 1 subtracted by the pvalue of Z when X = 1000. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1000 - 950}{30}$

$Z = 1.67$

$Z = 1.67$ has a pvalue of 0.9525

1 - 0.9525 = 0.0475

4.75% probability that the line pressure will exceed 1000 kPa during any measurement

7 0

3 years ago

A right triangle has a lleg of length 16 and a hypotenuse of length 25. The length of the other leg is (Rounded to the nearest t

Wittaler [7]

Answer:

Step-by-step explanation:

1st you will use a^2+b^2=c^2

next you plug them in so it would be a^2+16^2=25^2

next you would solve it to a^2+256=625

then you would get 369 and square root it

and your answer will be 19.2.

3 0

2 years ago

How do i answer this and how do i find the modal

faltersainse [42]

So firsty up, you need to have equal denominators IN order to do this equation.

1/3 and 5/12..

3x4=12

So the rule when changing denominators, you multiply 4 intop, so it will become 4/12, and 5/12 + 4/12 = 8/12, and,

8/12 + 1/12= 9/12 and 9/12 simplified is 3/4..

So the answer is 3/4.

Hope this helped.

3 0

3 years ago