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yawa3891 [41]
2 years ago
6

Factor each completely n^2 - 11n + 10

Mathematics
1 answer:
Charra [1.4K]2 years ago
3 0

{n}^{2}  - 11n + 10 =

(n - 1)(n - 10)

.................................................

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You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly different from 0.36. With
Dafna11 [192]

Answer:

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:  

Null hypothesis:p=0.36  

Alternative hypothesis:p \neq 0.36  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.074)=0.0381  

Step-by-step explanation:

Data given and notation n  

n represent the random sample taken

\hat p estimated proportion of interest

p_o=0.36 is the value that we want to test

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is 0.36 so then we need to conduct a two tailed test, the system of hypothesis are.:  

Null hypothesis:p=0.36  

Alternative hypothesis:p \neq 0.36  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion  is significantly different from a hypothesized value .

Calculate the statistic  

For this case the statistic is given:

z = 2.074

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>2.074)=0.0381  

5 0
3 years ago
Please help me, and please show your work if possible! Thanks friends! ❤️
eimsori [14]
12 bushes in garden 1
4 0
3 years ago
MANUFACTURING
Margaret [11]

Answer:

Total cost is $205328

Step-by-step explanation:

Given data:

cost C(q) = 0.1 q^3 - 0.5 q^2 + 500 q + 200

current units q = 4 ( 4000 units )

The current level of production is 4000 ( 4 )units, and manufacturer is planning to upgrade this to 4100 ( 4.1 ) units

C'(q) = 3 * 0.1 q^2 - 2 * 0.5 q + 500

C'(q) = 0.3 q2 - q + 500

C(4.1) - C(4) ≈ C’(4) x Δq

≈ C’(4) x 0.1

≈ ( 0.3 * 4^2 - 4 + 500 ) x 0.1

≈    (  0.3 * 16 - 4 + 500 ) x 0.1

≈    500.8 x 0.1 ≈      50.08

total cost = 4100 x   50.08 = $205328

3 0
3 years ago
The product of a number and 3 plus 1 is 19
ElenaW [278]
The correct answer is 15.
4 0
3 years ago
Read 2 more answers
]solomon needs to justify the formula for the arc length of a sector. which expression best completes this argument? the circumf
Anna35 [415]

Answer:

\frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}} best completes this argument

Step-by-step explanation:

Circumference of circle =\pi \cdot d

Where d is the diameter of circle

We are given that if equally sized central angles, each with a measure of n°, are drawn, the number of sectors that are formed will be equal to \frac{360^{\circ}}{n^{\circ}}

So, Number of sectors =  \frac{360^{\circ}}{n^{\circ}}

The arc length of each sector is the circumference divided by the number of sectors

\Rightarrow \frac{\pi \cdot d}{\frac{360^{\circ}}{n^{\circ}}}

Diameter d = 2r (r = radius)

\Rightarrow \frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}}

Option b is true

Hence\frac{2 \pi r}{\frac{360^{\circ}}{n^{\circ}}} best completes this argument

7 0
3 years ago
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