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Dmitrij [34]
3 years ago
15

If x=100 what is x squared divided by 2

Mathematics
2 answers:
artcher [175]3 years ago
8 0
500 because 100 times 100=1,000
1,000/2=500
posledela3 years ago
7 0
100 divided by 2 equals to 50
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Do one of the​ following, as appropriate.​ (a) Find the critical value z Subscript alpha divided by 2​, ​(b) find the critical v
aliya0001 [1]

Answer:

t=\pm 2.95

Step-by-step explanation:

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 t distribution or Student’s t-distribution is a "probability distribution that is used to estimate population parameters when the sample size is small (n<30) or when the population variance is unknown".

The shape of the t distribution is determined by its degrees of freedom and when the degrees of freedom increase the t distirbution becomes a normal distribution approximately.  

Data given

Confidence =0.99 or 99%

\alpha=1-0.99=0.01 represent the significance level

n =16 represent the sample size

We don't know the population deviation \sigma

Solution for the problem

For this case since we don't know the population deviation and our sample size is <30 we can't use the normal distribution. We neeed to use on this case the t distribution, first we need to calculate the degrees of freedom given by:

df=n-1=16-1=15

We know that \alpha=0.01 so then \alpha/2=0.005 and we can find on the t distribution with 15 degrees of freedom a value that accumulates 0.005 of the area on the left tail. We can use the following excel code to find it:

"=T.INV(0.005;15)" and we got t_{\alpha/2}=-2.95 on this case since the distribution is symmetric we know that the other critical value is t_{\alpha/2}=2.95

8 0
3 years ago
A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?
MariettaO [177]

The answer is 3, –2, –7, –12

5 0
3 years ago
Read 2 more answers
Solve the equation. Then check your solution.4- 3/5(3a+4)=7A. -7.4B. -6C. 3D. -3
Evgesh-ka [11]
Answer: a = -3

Explanations:

The given equation is:

4\text{ - }\frac{3}{5}(3a+4)\text{ = 7}

This can be re-written as:

4-\frac{3(3a+4)}{5}=7

Collect like terms:

\begin{gathered} -\frac{3(3a+4)}{5}=\text{ 7 - 4} \\ -\frac{3(3a+4)}{5}=\text{ 3} \end{gathered}

Cross multiply:

\begin{gathered} -3(3a+4)\text{ = 3}\times5 \\ -3(3a+4)=\text{ 15} \\ \text{Expand the bracket} \\ -9a\text{ - 12 = 15} \\ \text{Collect like terms} \\ -9a\text{ = 15 + 12} \\ -9a\text{ = 27} \\ \text{Divide both sides by -9} \\ \frac{-9a}{-9}=\frac{27}{-9} \\ a\text{ = -3} \end{gathered}

To verify if the solution is correct, substitute a = -3 into the question given. If the Right Hand Side equals the Left Hand Side, then the solution is correct.

\begin{gathered} 4-\frac{3(3a+4)}{5}=\text{ 7} \\ \text{Substitute a = }-3 \\ 4\text{ - }\frac{3(3(-3)+4)}{5}\text{ = 7} \\ 4\text{ - }\frac{3(-9+4)}{5}\text{ = 7} \\ 4\text{ - }\frac{3(-5)}{5}\text{ = 7} \\ 4\text{ - }\frac{-15}{5}=\text{ 7} \\ 4-(-3)=7 \\ 4+3=7 \\ 7=7 \end{gathered}

Since the Left Hand Side = Right Hand Side = 7, the solution a = -3 is correct

5 0
9 months ago
A piece of thread is 11 12 inches long. Jenny needs to cut the thread into 1 6 -inch segments. How many segments can she cut?
Studentka2010 [4]

Answer:

5.5 segments

Step-by-step explanation:

I am not sure if you meant 11/12 and 1/6 but here's how I solved it.

11/12 ÷ 1/6

11/12*6/1=

66/12 Simplify

5 6/12=5.5

7 0
3 years ago
Read 2 more answers
Find the value of c such that the expression is a​ perfect-square trinomial.
Kazeer [188]

Answer:

81

Step-by-step explanation:

perfect-square trinomial form: a² +2ab +b²

a = x

2ab = 18x = 2 * x * 9

c = 9*9 = 81

4 0
3 years ago
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