*Show Work*
Answer:
66 2/3 %
Step-by-step explanation:
First find the students not in the 8th grade
24 - 8 = 16
16 students are not in the 8th grade
Take the fraction of the students not in the 8th grade over the total
16/24 = 2/3
Change to a decimal
.66666666666
Multiply by 100 to change to a percent
66.666666%
66 2/3 %
Answer:
66.67% of students are not in eighth grade
Step-by-step explanation:
8/24=1/3
1/3=0.33333333333
1-0.33333333333=0.66666666667
0.66666666667=66.67%
Answer:
We reject the null hypothesis that the population means are equal and accept the alternative hypothesis that the population means are different.
Step-by-step explanation:
We have large sample sizes and , the unbiased point estimate for is , i.e., 12-14 = -2.
The standard error is given by , i.e.,
= 0.6585.
We want to test vs (two-tailed alternative). The rejection region is given by RR = {z | z < -2.5758 or z > 2.5758} where -2.5758 and 2.5758 are the 0.5th and 99.5th quantiles of the standard normal distribution respectively. The test statistic is and the observed value is . Because -3.0372 fall inside RR, we reject the null hypothesis.
The test statistic follow a standard normal distribution because we are dealing with large sample sizes.
In this scenario of comparing two independent samples and given that the sample sizes are large, the sample test statistic follows the Standard Normal distribution or Z-distribution. The Z-test statistic representing the difference in sample means (in units of standard error) is compared with critical values for a two-tailed test at 0.01 significance level to determine if there's sufficient evidence to reject the null hypothesis that the two population means are equal.
The test in your question pertains to a hypothesis testing scenario featuring two independent samples. This scenario typically involves two population means given that population standard deviations are known. The distribution followed by the sample test statistic in such cases is the Standard Normal distribution or Z-distribution, as the sample sizes (n1 = 49, n2 = 64) are sufficiently large. To test the claim that population means are different (at a significance level of 0.01), you'd typically construct a Z-test statistic that represents the difference in sample means (x1 - x2) in units of its standard error. The Z-test statistic is calculated as follows:
Here, x1 and x2 are the sample means, σ1 and σ2 are the population standard deviations and n1 and n2 are the samples sizes. The resulting Z-score can be compared with critical Z-scores for a two-tailed test at the given level of significance (0.01) to determine whether or not the null hypothesis (two population means are equal) can be rejected.
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Answer: The sum of a rational number and an irrational number is irrational.
Step-by-step explanation:An irrational number in decimal form goes forever without repeating.
Answer:
4/15
Step-by-step explanation:
Answer: x= -39
Step-by-step explanation: Let's solve your equation step-by-step.
−
189
=
4
x
−
3
(
−
4
+
15
)
Step 1: Simplify both sides of the equation.
−
189
=
4
x
−
3
(
−
4
+
15
)
−
189
=
4
x
+
−
33
−
189
=
4
x
−
33
Step 2: Flip the equation.
4
x
−
33
=
−
189
Step 3: Add 33 to both sides.
4
x
−
33
+
33
=
−
189
+
33
4
x
=
−
156
Step 4: Divide both sides by 4.
4
x
4
=
−
156
4
x
=
−
39
Answer:
(-9, 1)
Step-by-step explanation:
translating UP is to increase on the y axis, so -4+5=1
translating to the LEFT is to subtract on the x axis so-2-7=-9
Answer:
942
Step-by-step explanation:
The formula for cone volume is V=πr²h/3. If you plug the radius and height in for the variables and use 3.14 for pi you get 942.