322/340=0.805
rounded to a percentage would be 81%
Answer:
The length of the model is 21 inches
Step-by-step explanation:
we have
The scale factor

That means
1 unit in the model represent 12 units in the actual
1 inch in the model represent 12 inches in the actual
Remember that

so
1 inch in the model represent 1 ft in the actual
The scale factor is

therefore
21 ft in the actual represent 21 inches in the model
Answer:
1)
32x^2 - 28x - 15
2)
30x^2 + 54x - 12
Step-by-step explanation:
1.
(8x+3)(4x-5)
Using FOIL
= (8x)(4x) + (8x)(-5) + (3)(4x) + (3)(-5)
= 32x^2 - 40x + 12x - 15
= 32x^2 - 28x - 15
2.
(10x-2)(3x+6)
Using FOIL
= (10x)(3x) + (10x)(6) + (-2)(3x) + (-2)(6)
= 30x^2 + 60x - 6x - 12
= 30x^2 + 54x - 12
Answer:
Two-sided null hypothesis (i.e., the same sample size, the same standard deviation, and the same mean) will <u>also</u> be rejected at the same significance level.
Step-by-step explanation:
The decision rule to reject a null hypothesis at <em>α</em>% level of significance is, if the <em>p</em>-value of the test is less than the level of significance then the null hypothesis of the test is rejected. And if <em>p</em>-value of the test is more than the level of significance then the null hypothesis of the test is failed to be rejected.
Now for a two-tailed test the <em>p</em>-value is,
, i.e. the <em>p</em>-value is decreased for a two tail test.
If a null hypothesis of a one-sided test is rejected at a significance level <em>α</em>, then it would mean that the <em>p</em>-value < <em>α</em>.
As the <em>p</em>-value < <em>α</em> then the two-tailed <em>p</em>-value is definitely less than <em>α.</em>
So the two-tail null hypothesis will also be rejected at the same level of significance.