What is the value of x?

What is the solution set for this inequality

kompoz [17]

Answer:

$x < 7$

Step-by-step explanation:

1) Subtract 40 from both sides.

$- 8x > - 16 - 40$

2) Simplify -16 - 40 to -56.

$- 8x > - 56$

3) Divide both sides by -8.

$x > \frac{ - 56}{ - 8}$

4) Two negative numbers makes a positive.

$x > \frac{56}{8}$

5) Simplify 56/8 to to 7.

$x < 7$

Therefor the answer is option B. x < 7.

5 0

3 years ago

Read 2 more answers

According to a survey, 65% of murders committed last year were cleared by arrest or exceptional means. Fifty murders committed

monitta

Answer:

a) $P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421$

b) $P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714$

$P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502$

$P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319$

And adding these values we got:

$P(36 \leq X \leq 38)= 0.1535$

c) We can find the expected value given by:

$E(X) = np =50*0.65 = 32.5$

And the standard deviation would be:

$\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373$

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

$\mu -2\sigma = 32.5- 2*3.373 = 25.75$

And then we can consider a value of 18 as unusual lower for this case.

Step-by-step explanation:

Let X the random variable of interest "number cleared by arrest or exceptional", on this case we can model this variable with this distribution:

$X \sim Binom(n=50, p=0.65)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Part a

We want this probability:

$P(X=41)=(50C41)(0.65)^{41} (1-0.65)^{50-41}=0.00421$

Part b

We want this probability:

$P(36 \leq X \leq 38)$

We can find the individual probabilities:

$P(X=36)=(50C36)(0.65)^{36} (1-0.65)^{50-36}=0.0714$

$P(X=37)=(50C37)(0.65)^{37} (1-0.65)^{50-37}=0.0502$

$P(X=38)=(50C38)(0.65)^{38} (1-0.65)^{50-38}=0.0319$

And adding these values we got:

$P(36 \leq X \leq 38)= 0.1535$

Part c

We can find the expected value given by:

$E(X) = np =50*0.65 = 32.5$

And the standard deviation would be:

$\sigma = \sqrt{np(1-p)} \sqrt{50*0.65*(1-0.65)}= 3.373$

We can use the approximation to the normal distribution and we have at leat 95% of the data within 2 deviations from the mean. And the lower limit for this case would be:

$\mu -2\sigma = 32.5- 2*3.373 = 25.75$

And then we can consider a value of 18 as unusual lower for this case.

6 0

4 years ago

A 9V battery is attached to a hand generator. What prediction best explains what will happen and why?

insens350 [35]

A hand generator it most likely will provide power to perform wok more efficiently.

<h3>A hand generator and a 9v battery</h3>

Generally, A hand generator is a portable device that use energy to do work or increase efficiency of work done.

Therefore,if a 9v battery( a battery is defined as a source of electric power) is attached to a hand generator it most likely will provide power to perform wok more efficiently

For more information on work

brainly.com/question/756198

3 0

3 years ago

Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in hos garden. What is the largest num

luda_lava [24]

Answer:

8 groups.

Step-by-step explanation:

We are told that Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in his garden. We are asked to find out largest number of groups he can make.

To solve this problem we will find GCF of 24 and 8.

Factors of 24 are: 1,2,3,4,6,8,12 and 24.

Factors of 8 are 1,2,4 and 8.

We can see that greatest common factor of 24 and 8 is 8.

Therefore, Luis can make 8 groups each having 3 purple plants and 1 pink plant.

6 0

3 years ago

PLEASE HELP will mark Brainliest if correct

posledela

Answer:

C

Step-by-step explanation:

you you add three dollars and 25 cents plus $1 + 15 cents which is $4.40 and then times 20 will get you $88

5 0

3 years ago