Answer: Two-tailed test.
Population mean is the parameter which is tested.
Step-by-step explanation:
Given : 
We know that , the alternative hypothesis (
) indicates kind of the hypothesis test we need to perform whether left-tailed, right-tailed, or two-tailed.
Here, the alternative hypothesis () is two-tailed, so the hypothesis test is a two-tailed test.
Also, the parameter present in the hypothesis is 
which is a symbol to represent the population mean.
Thus , Population mean is the parameter which is tested.
Step-by-step explanation:
So 4x2+9 has no linear factors with Real coefficients. It is possible to factor it with Complex coefficients.
40 times 3/3+5= Niamh’s amount = 40x3/8 = 15 pencils
40 times 5/3+5= Jack’s amount =
40x5/8 = 25 pencils
Answer:
the answer is the second choice
Step-by-step explanation:
hopefully this helps :)
The value of 'x' is 24.2 and the value of 'y' is 46.5.
To solve this, we do the following steps.
<u>Step 1:</u> Divide 'y' into 2 parts, 'a' and 'b'. 'a' would be the lower leg of the 45°-45°-90° triangle, while 'b' is the lower leg of the 30°-60°-90° triangle.<em>
</em><u>Step 2:</u> Given the hypotenuse (34) of the 30°-60°-90° triangle, solve for 'b' using the cosine of 30°.
cos30° = b/34 [adjacent over hypotenuse]
b = 34cos30° [cross-multiply]
b = 29.4
<u>Step 3:</u> Solve for the 90° leg (the side opposite the 30° angle) using the Pythagorean Theorem. We will name this leg "h" (cuz height).
l² + l² = hyp²
29.4² + h² = 34²
h² = 1156 - 864.36
√h² = √291.64
h = 17.1
<u>Step 4:</u> Solve for 'x' by using the 45°-45°-90° triangle ratio (1:1:√2). √2 would be the hypotenuse of the 45°-45°-90° triangle, while 1 would be both congruent legs.
Side 'h' is one of the legs; side 'a' is the other. Since these legs are congruent, 'a' also measures 17.1. Now all we need to do is solve for 'x', which is our hypotenuse. To do this, we simply multiply the measure of side 'h' or 'a' by √2.
x = 17.1 × √2
x = 24.2
<u>Step 5:</u> Now that we got the value of 'x', solve for 'y' by adding the measures of sides 'a' and 'b' together.<em>
</em><u /> y = a + b
y = 17.1 + 29.4
y = 46.5
And there you have it! <em>Hope this helps.</em>
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