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Tanzania [10]
3 years ago
13

Factor the trinomial below.

Mathematics
2 answers:
Shtirlitz [24]3 years ago
8 0
Option C is your answer. 
BabaBlast [244]3 years ago
4 0
Hi there!

The answer is C.
{x}^{2} - 14x + 45 = (x - 9)(x - 5)

To find our answer we are looking for 2 integers. The sum of the integers must be -14 (since it must be equal to the number before the variable x). The product of both integers must be 45. Now we can conclude we are looking for the numbers -9 and -5.

- 9 + - 5 = - 9 - 5 = - 14 \\ - 9 \times - 5 = 45

(Remember that multiplying 2 negatives makes you end up with a positive.)

~ Hope this helps you!
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Determine the term life insurance amount per thousand on a 22-year-old female for a 5-year policy given that the face value of t
VLD [36.1K]

We need to determine the term life insurance amount per thousand on a 22-year-old female for a 5-year policy given that the face value of the policy is $600,000 and the annual premium is $1332.

Since we are supposed to find the term life insurance amount per thousand, therefore, we will use the following formula:

\text{Term life insurance amount}=\frac{\text{Annual premium}}{\text{Face value of insurance}}*1000

Upon substituting the values of annual premium and face value of insurance, we get:

\text{Term life insurance amount}=\frac{\text{1332}}{\text{600000}}*1000\\
\text{Term life insurance amount}=\$2.22

Therefore, the required life insurance amount is $2.22.

4 0
3 years ago
Read 2 more answers
Yves bought 420 tropical fish for a museum display. He bought 6 times as many parrotfish as angelfish. How many of each type of
ohaa [14]
The answer would be d , because you have to add how many of each fish to equal up to the sum of 420 . which is x y . so the first equation is x + y = 420 . then it says he bought 6 times as many parrotfish as he did angelfish so you would have to multiply x which represents angelfish by 6 . to get the second equation of y = 6x .
5 0
3 years ago
Read 2 more answers
company with a large fleet of cars hopes to keep gasoline costs down and sets a goal of attaining a fleet average of at least 26
podryga [215]

Answer:

t=\frac{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435    

p_v =P(t_{(49)}  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.

Step-by-step explanation:

Data given and notation  

\bar X=25.02 represent the sample mean

s=4.83 represent the sample standard deviation

n=50 sample size  

\mu_o =26 represent the value that we want to test

\alpha represent the significance level for the hypothesis test.  

t would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is at least 26 mpg, the system of hypothesis would be:  

Null hypothesis:\mu \geq 26  

Alternative hypothesis:\mu < 26  

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

t=\frac{25.02-26}{\frac{4.83}{\sqrt{50}}}=-1.435    

P-value

The first step is calculate the degrees of freedom, on this case:  

df=n-1=50-1=49  

Since is a one sided test the p value would be:  

p_v =P(t_{(49)}  

Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to fail reject the null hypothesis, so we can't conclude that the height of men actually its significant lower than 26 so then the specification is satisfied.

3 0
3 years ago
How many ways can 7 paintings be lined up in a wall
svetlana [45]
7x6x5x4x3x2x1 = 5040
6 0
3 years ago
Read 2 more answers
What is the next term in the following sequence?
enot [183]
-2
Explanation:
You divide by -3each time
54/-3 = -18
-18/-3 = 6
6/-3 = -2
7 0
3 years ago
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