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masha68 [24]
3 years ago
6

Write an equation in slope-intercept form? (12,5); y=2/3x-1

Mathematics
1 answer:
Marina86 [1]3 years ago
3 0

Answer:

y-5=2/3x(12-x) would be point form

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The hypothesis H0: \mu=350H 0 : μ = 350 versus H_a:\mu<350H a : μ < 350 are examined using a sample of size n = 20. The on
Zolol [24]

Answer:

The statistic for this case is given t =-1.68

The degrees of freedom are given by:

df =n-1= 20-1=19

Since is a one-side lower test the p value would given by:  

p_v =P(t_{19}  

Step-by-step explanation:

Data given and notation  

\bar X represent the sample mean  

s represent the sample standard deviation  

n=20 sample size  

\mu_o =350 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z 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 lower than 350, the system of hypothesis are :  

Null hypothesis:\mu \geq 350  

Alternative hypothesis:\mu < 350  

Since we don't know the population deviation, 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  

The statistic for this case is given t =-1.68

P-value  

The degrees of freedom are given by:

df =n-1= 20-1=19

Since is a one-side lower test the p value would given by:  

p_v =P(t_{19}  

5 0
3 years ago
In a random sample of 7 residents of the state of California, the mean waste recycled per person per day was 1.5 pounds with a s
ale4655 [162]

Answer:

CI(99%) = ( 0.93 , 2.07)

Therefore at 99% confidence interval (a,b) = ( 0.93 , 2.07)

Critical value z(at 99% confidence) = z(0.005) = 2.58

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean gain x = 1.5

Standard deviation r = 0.58

Number of samples n = 7

Confidence interval = 99%

Critical value z(at 99% confidence) = z((1-0.99)/2)

z(0.005) = 2.58

Substituting the values we have;

1.5+/-2.58(0.58/√7)

1.5+/-2.58(0.2192)

1.5+/-0.565536

1.5+/-0.57

= ( 0.93 , 2.07)

Therefore at 99% confidence interval (a,b) = ( 0.93 , 2.07)

7 0
3 years ago
Find the area of a triangle with a base of 12 inches and a height of 9 inches.
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5 0
4 years ago
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