Janice bought 3 movie tickets and 3 sodas and the total cost was $35.25. A ticket to the movie cost $5.25 more than a soda. How
1 answer:
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Answer:
There is no sufficient evidence to support the claim that the bags are underfilled
Step-by-step explanation:
We are given;
n = 27 bags
Sample mean;X = 402 gram
Population mean;μ = 404 gram
Variance = 676
We know that, standard deviation(σ) = √variance
Thus;
σ = √676
σ = 26
The hypotheses are;
Null hypothesis; H0: μ = 404
Alternative hypothesis; HA: μ < 404
Let's find the z-score from the formula;
z = (X - μ)/(√σ/n)
z = (402 - 404)/√(26/27)
z = -2.04
From the z-distribution table attached, we have a p-value of 0.02068
This is less than the significance value of 0.01 and thus we will reject the null hypothesis and conclude that there is no sufficient evidence to support the claim that the bags are underfilled
The measures of the angles don't change when you translate a figure, because the entire figure is moving as a whole. Imagine having a paper parallelogram, moving it around and flipping it over. Not even dilations would change these angles (for reasons that can be pretty easily visualed but not really proven until geometry)
Answer:
The missing angle 'x' is 22.29°.
i.e.
Step-by-step explanation:
Let 'x' be the missing angle of the triangle.
Using the formula
tan x = opp ÷ adjacent
tan x = 30 ÷ 72
tan x = 0.41
Therefore, the missing angle 'x' is 22.29°.
i.e.