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3 years ago

What are the solutions of the inequality graph the solutions -12r<-24

1 answer:

8 0

When you multiply or divide both sides by a negative in an inequality, flip the sign

I will show 2 ways, 1 with multipy and one with add

1. multiply
divide both sides by -12 and flips sign
r>2

2. add
add 12r to both sides
0<12r-24
add 24 to both sides
24<12r
divide both sides by 12
2<r
r>2

You might be interested in

Find the slope-intercept form of the

3241004551 [841]

Parallel lines have the same slope.
So I plug in the -5 and -4
-4 = 1/2(-5) + b
-4 = -2.5 + b
b = -1.5

So I get y = 1/2x - 3/2

3 0

3 years ago

What is the answer? (Please help)

k0ka [10]

$\dfrac{bc}{b}=\dfrac{b}{b}\cdot\dfrac{1}{c}=1\cdot\dfrac{1}{c}=\boxed{\dfrac{1}{c}}\\\\\dfrac{\not b^1}{\not b_1c}=\dfrac{1}{1c}=\boxed{\dfrac{1}{c}}$

8 0

3 years ago

20% of US High School teens vape. A local High School has implemented campaigns to reduce vaping among students and believes tha

zaharov [31]

Answer:

10.93% probability of observing 51 or fewer vapers in a random sample of 300

Step-by-step explanation:

I am going to use the normal approximation to the binomial to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

Normal probability distribution

Problems of normally distributed samples can be 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.

When we are approximating a binomial distribution to a normal one, we have that $\mu = E(X)$ , $\sigma = \sqrt{V(X)}$ .

In this problem, we have that:

$n = 300, p = 0.2$

$\mu = E(X) = np = 300*0.2 = 60$

$\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{300*0.2*0.8} = 6.9282$

What is the approximate probability of observing 51 or fewer vapers in a random sample of 300?

Using continuity corrections, this is $P(X \leq 51 + 0.5) = P(X \leq 51.5)$ , which is the pvalue of Z when X = 51.5 So

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

$Z = \frac{51.5 - 60}{6.9282}$

$Z = -1.23$

$Z = -1.23$ has a pvalue of 0.1093.

10.93% probability of observing 51 or fewer vapers in a random sample of 300

4 0

3 years ago

HELP THIS IS URGENT HELLPP

Kobotan [32]

Ok, so the key says 1cm=10mm. So you do 25x10=250cm, then do 250(the fish)-25(the guinea pig)= 225cm

8 0

2 years ago

Which ratio is equivalent to 10:85

Nata [24]

First, find what are the numbers that can be divided to 10 and 85. The numbers 10 and 85 can be divided by 5. 10 divided by 5 is equals to 2 and 85 divided by 5 is equals to 17. Ratio is just like a fraction, you need to reduce its terms if you need to. Let’s say 10:85 is a fraction and since it is obvious that it can be divided by 5, you just need to reduce its term. 10/85 can be reduced into 2/17 which is just the same with ratios 10:85 is equals to 2:17.

5 0

3 years ago