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3 years ago

2) Solve the following equation for x: 2(x-5) = 36 A) 15.5 В) 23 С) 18 D) 13

Mathematics

2 answers:

UNO [17]3 years ago

7 0

Answer:

i got C

Step-by-step explanation:

2(x-5)=36

divide both sides by 2

x-5=13

add 5 to both sides

x=18

Irina-Kira [14]3 years ago

6 0

Answer:

Step-by-step explanation:

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1. (07.01 LC)

ankoles [38]

Answer:

D) 5/13

Step-by-step explanation:

Sin x = Opposite / Hypotenuse

Opposite side length = 5 cm

Hypotenuse length = 13 cm

Sin x = 5/13

8 0

2 years ago

A sample of size 200 will be taken at random from an infinite population. given that the population proportion is 0.60, the prob

Musya8 [376]

Let p be the population proportion. 
We have p=0.60, n=200 and we are asked to find P(^p<0.58). 
The thumb of the rule is since n*p = 200*0.60 and n*(1-p)= 200*(1-0.60) = 80 are both at least greater than 5, then n is considered to be large and hence the sampling distribution of sample proportion-^p will follow the z standard normal distribution. Hence this sampling distribution will have the mean of all sample proportions- U^p = p = 0.60 and the standard deviation of all sample proportions- δ^p = √[p*(1-p)/n] = √[0.60*(1-0.60)/200] = √0.0012.
So, the probability that the sample proportion is less than 0.58
= P(^p<0.58)
= P{[(^p-U^p)/√[p*(1-p)/n]<[(0.58-0.60)/√0...
= P(z<-0.58)
= P(z<0) - P(-0.58<z<0)
= 0.5 - 0.2190
= 0.281
So, there is 0.281 or 28.1% probability that the sample proportion is less than 0.58.

4 0

3 years ago

A student committee is to consist of 2 freshmen, 5 sophomores, 4 juniors, and 3 seniors. If 6 freshmen, 13 sophomores, 8 juniors

mezya [45]

<h3>Answer: 491,891,400</h3>

Delete the commas if necessary.

============================================================

Explanation:

There are 6 freshmen total and we want to pick 2 of them, where order doesn't matter. The reason it doesn't matter is because each seat on the committee is the same. No member outranks any other. If the positions were labeled "president", "vice president", "secretary", etc, then the order would matter.

Plug n = 6 and r = 2 into the nCr combination formula below

$n C r = \frac{n!}{r!(n-r)!}\\\\6 C 2 = \frac{6!}{2!*(6-2)!}\\\\6 C 2 = \frac{6!}{2!*4!}\\\\6 C 2 = \frac{6*5*4!}{2!*4!}\\\\ 6 C 2 = \frac{6*5}{2!}\\\\ 6 C 2 = \frac{6*5}{2*1}\\\\ 6 C 2 = \frac{30}{2}\\\\ 6 C 2 = 15\\\\$

This tells us there are 15 ways to pick the 2 freshmen from a pool of 6 total.

Repeat those steps for the other grade levels.

n = 13 sophomores, r = 5 selections leads to nCr = 13C5 = 1287. This is the number of ways to pick the sophomores.

You would follow the same type of steps shown above to get 1287. Let me know if you need to see these steps.

Similarly, 8C4 = 70 is the number of ways to pick the juniors.

Lastly, 14C3 = 364 is the number of ways to pick the seniors.

-----------------------------

To recap, we have...

15 ways to pick the freshmen
1287 ways to pick the sophomores
70 ways to pick the juniors
364 ways to pick the seniors

Multiply out those values to get to the final answer.

15*1287*70*364 = 491,891,400

This massive number is a little under 492 million.

7 0

2 years ago

For how many minutes did Lynn run at a greater speed than Kael? 12 17 23 28.

Archy [21]

Answer:

28 minutes.

Step-by-step explanation:

We can see from our graph that 12 minutes after starting the race Lynn left Kael behind and he ran at a greater speed till the race ended after 40 minutes.

To find total number of minutes Lynn ran faster than Kael we will subtract 12 from 40.

Therefore, Lynn ran at a greater speed than Kael for 28 minutes.

4 0

2 years ago

Point (-4,-8) Reflected across the x-axis

kkurt [141]

Answer:

(-4 , 8)

Step-by-step explanation:

The x-axis is the horizontal line. In this case, if you are reflecting over the x-axis, you are flipping the sign of the y-coordinate.

Same with the y-axis. If you are reflecting over the y-axis, you are flipping the sign of the x-coordinate.

In this case, reflect across the x-axis. Flip the sign of the y: (x , y)

(-4 , -8) reflected over the x-axis is (-4 , 8).

8 0

3 years ago