there are 9 kids at the a birthday party. if there are 6 girls and 3 boys at the party, what fraction of the kids are boys? Simp
1 answer:
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Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: volume of root beer in a Windsor Bottling Company can.
A sample of n=24 cans was taken and their contents measured, resulting:
X[bar]= 11.4 oz
S= 0.62 oz
Assuming that the variable has a normal distribution X~N(μ;σ²), the parameter of interest is the average contents of the root beer cans of the Windsor Bottling Company (μ)
The claim is that the population mean content of the cans is different from 12 oz, symbolically: μ ≠ 12
The statistical hypothesis (Null and alternative) have to be complementary, exhaustive and mutually exclusive. The null hypothesis is the "no change" hypothesis and always carries the "=" sign.
If the claim is μ ≠ 12, its complement is μ = 12, the expression carrying the "=" sign will be the null hypothesis and its complement will be the alternative hypothesis:
H₀: μ = 12
H₁: μ ≠ 12
α: 0.05
To test the population mean of this normal population, you have to apply a one sample t-test, with statistic:
This test is two-tailed, using the critical value approach, you have to determine two rejection regions. Meaning, you'll reject the null hypothesis to small values of the statistic or to high values of the statistic.
The decision rule is:
If ≤ -2.069 or if
≥ 2.069, then you reject the null hypothesis.
If -2.069 < < 2.069, then you do not reject the null hypothesis.
The value is less than the left critical value, the decision is to reject the null hypothesis.
Then you can say that with a 5% significance level, there is significant evidence to reject the null hypothesis, then the average amount of root beer of the Windsor Bottling Company is different from 12 oz, this means that the claim about the amount of root beer in the cans is correct.
I hope it helps!
we are given that
two triangles are similar
so, the ratio of their sides must be same
we get
now, we can solve for x
step-1: Cross multiply both sides
step-2: Simplify left side
step-3: Subtract both sides by 2x
step-4: Divide both sides by 4
so,
............Answer
Answer:
Step-by-step explanation:
r²+8r=−7
Step 1: Subtract -7 from both sides.
r²+8r−(−7)=−7−(−7)
r²+8r+7=0
Step 2: Use quadratic formula with a=1, b=8, c=7.
r=