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3 years ago

Three times a number added to half a second number

Mathematics

1 answer:

Licemer1 [7]3 years ago

5 0

Answer:

3x + 1/2x

Step-by-step explanation:

Just replace "a number" with x

"Three times x added to half x"

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Determine the value of X. 30 POINTS

const2013 [10]

you can use the value of sin\

sin(theta) = 12/16

Now solve for theta, and do inverse sine

so theta would be 48.59037789 , or around 50 degrees

6 0

3 years ago

Read 2 more answers

Susan is trying to decide between two jobs. One job pays $12 per hour for the first 36 hours and $15 per hour for any additional

nasty-shy [4]

Answer:

For the first question (For which job will she earn more if she works 40 hours a week), the answer is the second job.

For the second question (How much more per year will this be if she works 50 weeks per year), the answer is 25$ extra a year.

First i multiplied $12 times 36.

$12 x 36 = $432

Then i multiplied $15 times 4.

$15 x 4 = $60

Now add those together

$432 + $60 = $492

That's how much she would make in a week for the first job, if she worked 40 hours a week.

For the second job, i did the exact same process.

$11.50 x 35 = $402.5

$18 x 5 = $90

$402.5 + $90 = $492.5

She would get 50 more cents a week, if she worked 40 hours a week.

For the second question, i multiplied the first job total by 50, since she is working 50 weeks a year.

$492 x 50 = $24,600

Thats her total of a year, for the first job.

Do this with the second job.

$492.5 x 50 = $24,625

As you can see, she would get $25 more in the second job, than the first job.

I hope this helped!

7 0

3 years ago

An example problem in a Statistics textbook asked to find the probability of dying when making a skydiving jump.

MArishka [77]

Answer:

(a) 0.999664

(b) 15052

Step-by-step explanation:

From the given data of recent years, there were about 3,000,000 skydiving jumps and 21 of them resulted in deaths.

So, the probability of death is $\frac{21}{3000000}==0.000007$ .

Assuming, this probability holds true for each skydiving and does not change in the present time.

So, as every skydiving is an independent event having a fixed probability of dying and there are only two possibilities, the diver will either die or survive, so, all skydiving can be regarded as is Bernoulli's trial.

Denoting the probability of dying in a single jump by $q$ .

$q=7\times 10^{-6}=0.000007$ .

So, the probability of survive, $p=1-q$

$\Rightarrow p=1-7\times 10^{-6}=0.999993.$

(a) The total number of jump he made, n=48

Using Bernoulli's equation, the probability of surviving in exactly 48 jumps (r=48) out of 48 jumps (n=48) is

$=\binom(n,r)p^rq^{n-r}$

$=\binom(48,48)(0.999993)^{48}(0.000007)^{48-48}$

$=(0.999993)^{48}=0.999664$ (approx)

So, the probability of survive in 48 skydiving is 0.999664,

(b) The given probability of surviving =90%=0.9

Let, total $n$ skydiving jumps required to meet the surviving probability of 0.9.

So, By using Bernoulli's equation,

$0.9=\binom {n }{r} p^rq^{n-r}$

Here, r=n.

$\Rightarrow 0.9=\binom{n}{n}p^nq^{n-n}$

$\Rightarrow 0.9=p^n$

$\Rightarrow 0.9=(0.999993)^n$

$\Rightarrow \ln(0.9)=n\ln(0.999993)$ [ taking $\log_e$ both sides]

$\Rightarrow n=\frac {\ln(0.9)}{\ln(0.999993)}$

$\Rightarrow n=15051.45$

The number of diving cant be a fractional value, so bound it to the upper integral value.

Hence, the total number of skydiving required to meet the 90% probability of surviving is 15052.

3 0

3 years ago

Acone has a height of 2.5 in, and a radius of 5 in. What is the volume of the cone? (Use 3.14 for s. Round the answer to two

arlik [135]

Answer:

Step-by-step explanation:

8 0

3 years ago

What is the factored form of the polynomial?

DENIUS [597]

Answer:

C. (x + 4)(x + 5).

Step-by-step explanation:

We need 2 numbers whose product is + 20 and whose sum is + 9.

They are + 5 and + 4 , so

x2 + 9x +20

= (x + 4)(x + 5).

5 0

3 years ago