Answer:
∠D = 60
∠E = 99; x = 4
x = 32
Step-by-step explanation:
First things first, the sum of angles in a quadrilateral is 360°.
∠D + 120 + 95 + 85 = 360
∠D = 360 - 120 - 95 - 85
∠D = 60
∠E + 86 + 100 + 75 = 360
∠E = 360 - 86 - 100 - 75
∠E = 99
24x + 3 = 99
24x = 99 - 3
= 96
x = 96 ÷ 24
x = 4
89 + 5x - 8 + 51 + 3x + 4 = 360
7x + 136 = 360
7x = 360 - 136
= 224
x = 224 ÷ 7
x = 32
From the given question, we did not reject the null hypothsis which makes the answer to this question a type II error
<h3>What is type I error ?</h3>
Data:
- Mean fuel efficiency = 23.4 mpg
- samples = 41
This is an error done from rejecting the null hypothesis (H_0) when the null hypothesis is true, is known as type I error.
<h3>What is type II error ?</h3>
This is an error committed from not rejecting the null hypothesis (H_0) when actually the null hypothesis is false, is known as type II error
Given that the air filter changes are not effective i.e. ȝ = 24.7.
It means that if we do not reject the null hypothesis we shall make a correct decision. So consequently the chance of type II error is impossible because it occurs when we do not reject the null hypothesis, but here not rejecting the null hypothesis will lead to correct decision.
The answer to this question is type II error
Learn more on null hypothesis here;
brainly.com/question/15980493
Answer:
9 yards of each quilt.
Step-by-step explanation:
Let the length of each quilt be 'x'.
Given:
Length of green felt = 15 yards
Length of blue felt = 12 yards
Total number of quilts = 3
Total length of all the quilts in terms of 'x' is given as:
Total length is also equal to the sum of the lengths of green and blue felts. So,
Now, equating equations (1) and (2), we get:
Therefore, the length of each quilt is 9 yards.
<span>1. (f+g)(x) = f(x) +g(x)
.. = (</span>x^2-36) +(<span>x^3+2x^2-10)
.. = x^3 +3x^2 -46
2. </span>(f•g)(x) = f(x)•g(x)
.. = (x^4-9)•(x^3+9)
.. = x^7 +9x^4 -9x^3 -81
<span>3. (f-g)(x) = f(x) -g(x)
.. = (x^3-2x^2+12x-6) -(4x^2-6x+4)
.. = x^3 -6x^2 +18x -10</span>
