Step-by-step explanation:
70°+70°+a°=180°
a°=180°-140°
a°=40°
p°=70° (vertically opposite angle)
q°=70°(alternate interior angles)
hope it helps
t/3-1/2=t+3/9
Answer:
-1.25
Step-by-step explanation:
t÷3-1÷2 = t÷1+3÷9
2t-3÷6 = 9t+3=9
18t - 27 = 54 + 18
18t -54t = 18 + 27
-36t = 45
Divide through by -36
t = -1.25
Answer:
a) d: 1 2 0 0 2
b)
c)
d)
So the p value is lower than the significance level provided, so then we can conclude that we reject the null hypothesis that the difference mean between population 1 and 2 is less than 0. And we can say that the mean difference is higher than 0 at 5% of significance.
Step-by-step explanation:
A paired t-test is used to compare two population means where you have two samples in which observations in one sample can be paired with observations in the other sample. For example if we have Before-and-after observations (This problem) we can use it.
Let put some notation
x=Population 1 , y = population 2
x: 21 28 18 20 26
y: 20 26 18 20 24
a. Compose the difference valuefor each element
Let d =x-y, so the values for the difference are:
d: 1 2 0 0 2
b. Compute d.
We need the mean for the difference. If we use the following formula we got:
c.Compute the standard deviation sd.
For the standard deviation we can use the following formula:
d.Conduct a hypothesis test using α=.05.What is yourconclusion?
If we assume that the system of hypothesis for this case are:
Null hypothesis:
Alternative hypothesis:
We can calculate the statistic given by :
The next step is calculate the degrees of freedom given by:
Now we can calculate the p value, since we have a right tailed test the p value is given by:
So the p value is lower than the significance level provided, so then we can conclude that we reject the null hypothesis that the difference mean between population 1 and 2 is less than 0. And we can say that the mean difference is higher than 0 at 5% of significance.
To complete this hypothesis test, calculate the difference value for each element, compute the sample mean difference (d), calculate the standard deviation (sd), and then conduct the hypothesis test using a significance level of α = 0.05.
To compute the difference value for each element, subtract the second value from the first value for each pair. For example, the difference for the first pair is 1-2 = -1. Repeat this for each pair of elements in the data set.
To compute the sample mean difference (d), add up all the difference values and divide by the total number of pairs. In this case, d = (-1 + 1 + 2 + 0 + 2)/5 = 0.8.
To compute the standard deviation (sd), first calculate the squared difference value for each pair and sum them up. Then divide the sum by (n-1), where n is the total number of pairs. Finally, take the square root of the result. In this case, sd = sqrt(((1-0.8)^2 + (2-0.8)^2 + (0-0.8)^2 + (2-0.8)^2)/4) = 1.32.
For the hypothesis test, we compare the sample mean difference (d) to the population mean difference (μd) under the null hypothesis. The null hypothesis states that there is no difference between the two populations. If the difference between d and μd is statistically significant at a significance level of α = 0.05, we reject the null hypothesis and conclude that there is a significant difference between the two populations. Otherwise, we fail to reject the null hypothesis.
Without information about the population mean difference (μd), we cannot perform the hypothesis test or draw a conclusion.
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The price at Store A is $89.25. Find how much you save by buying the headphones at Store A
a. 119
b. 72
c. 29.75
Answer:
alt answer to give ya brainliest nxsdsvfkbjnvbc
Step-by-step explanation:
cnrgnsdmx
It is proved that the given decimals are equivalent decimals.
Given are the fractions -
7/10 and 70/100
We have the following fractions -
A = (7/10) = 0.7
B = 70/100 = (7 x 10)/(10 x 10) = (7/10)
B = (7/10) = 0.7
It can be seen that fraction A equals to B.
Therefore, it is proved that the given decimals are equivalent decimals.
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Step-by-step explanation:
7/10 in percentage form is 70%
70/100 in percentage form is 70%
Simple as that
Answer:
121.857
Step-by-step explanation:
6×7r = 5118
42r = 5118
r = 121.857
Answer:
121.8571428571429
Step-by-step explanation:
r= 5118/42
Answer:
7:20
Step-by-step explanation:
350:1000
35:100
5:20
Ans 5:20
Answer:
7:20
Step-By-Step Explanation:
Cart 1
350
Cart 2
1000
Ratio
350:1000
and divide both by 5
70:200
and divide both by 10
7:20
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