Factor completely: 3x2 − 17x − 28

Addison brought 5 pounds of oranges and 7 pounds of cherries to make a fruit salad for a fund raiser. She wants to package an eq

igor_vitrenko [27]

This is how i solved this:

9+7=1616 divided by 12 = 1.3 (repeater)1.3 (repeater) = 1 3/10Addison should put 1 3/10 pounds of salad in each container.

7 0

2 years ago

what should you substitute for y in the second equation bottom equation in order to solve the system of substitution method. (CA

kobusy [5.1K]

Answer:

i would say 0 to help get x by itself but im not entirely sure

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

What is the value of x in the equation 5(4x-10)+10x = 4(2x-3)+2(x-4)? A)-7/4 B)-1/4 C)3/20 D)3/2

Basile [38]

Answer:

D (3/2

Step-by-step explanation:

Simplify both side of the equation: 5(4x - 10) + 10x = 4(2x - 3) + 2(x - 4)

(5)(4x) + (5)(−10) + 10x = (4)(2x) + (4)(−3) + (2)(x) + (2)(−4)

Then you distribute: 20x + −50 + 10x = 8x + −12 + 2x + −8

(20x + 10x) + (−50) = (8x + 2x) + (−12 + −8)

Combine like terms: 30x + −50 = 10x + −20

30x - 50 = 10x - 20

Subtract 10x from both sides: 30x − 50 − 10x = 10x − 20 − 10x

20x - 50 = -20

Add 50 to both sides: 20x - 50 + 50 = -20 + 50

20x = 30

Divide both sides by 20: 20x / 20 = 30 / 20

x = 3/2

Boom! I hope that helped :)

5 0

2 years ago

The perimeter of the rectangle shown below is 24 feet what’s the length of side d?

lora16 [44]

The complete question in the attached figure

we know that
perimeter=24 ft
[the perimeter of a rectangle]=2*8+2*x-----------> 16+2x
24=16+2x-------> 2x=24-16----------> 2x=8----------> x=4 ft

the answer is
the option C) x=4 ft

8 0

3 years ago

Over the past decade, the mean number of hacking attacks experienced by members of the Information Systems Security Association

fredd [130]

Answer:

$P(X>600)=P(\frac{X-\mu}{\sigma}>\frac{600-\mu}{\sigma})=P(Z>\frac{600-510}{14.28})=P(z>6.302)$

And we can find this probability using the complement rule and the normal standard distribution and we got:

$P(z>6.302)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the number of attacks of a population, and for this case we know the distribution for X is given by:

$X \sim N(510,14.28)$

Where $\mu=510$ and $\sigma=14.28$

We are interested on this probability

$P(X>600)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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

If we apply this formula to our probability we got this:

$P(X>600)=P(\frac{X-\mu}{\sigma}>\frac{600-\mu}{\sigma})=P(Z>\frac{600-510}{14.28})=P(z>6.302)$

And we can find this probability using the complement rule and the normal standard distribution and we got:

$P(z>6.302)=1-P(z$

7 0

3 years ago