Answer: We are supped to solve for y so it will be division because that's the inverse for x. so: x/4 is your answer.
When we add the angle that has x° and the angle that has (4x-20)° we need to get 180°.
Mathematically: x° + (4x-20)° = 180°.
We solve for x:
x°+4x°-20°=180°, we put all numbers that we know on the right side and all unknowns on the left side:
5x°=200°, we divide by 5 and get:
x=40°
So the correct answer is D. x=40°.
The equation will be of the form
y = 8x + b because the slope is same = 8.
using point slope form
y - -3 = 8(x - - 2)
y + 3 = 8x + 16
y = 8x + 13 Answer
Answer:
102
Step-by-step explanation:
it is an isosceles triangle as two sides are equal i.e 3.3 so angles opposite to equal sides are also equal so 39 plus 39 plus x = 180°
78 plus x =180
x=180-78
x=102°
hope it helps
Answer:
t= 0.4933
t ≥ t ( 0.025 ,8 ) = 2.306
Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.
Step-by-step explanation:
We state our null and alternative hypotheses as
H0: ud= 0 Ha: ud≠0
The significance level is set at ∝= 0.05
The test statistic under H0 is
t= d`/ sd/√n
which has t distribution with n-1 degrees of freedom
The critical region is t ≥ t ( 0.025 ,8 ) = 2.306
Computations
Student Scores before Scores after Difference d²
reading book ( after minus before)
1 720 740 20 400
2 860 860 0 0
3 850 840 -10 100
4 880 920 40 1600
5 860 890 30 900
6 710 720 10 100
7 850 840 -10 100
8 1200 1240 40 1600
<u>9 950 970 20 40</u>
<u>∑ 6930 8020 140 4840</u>
d`= ∑d/n= 140/9= 15.566
sd²= 1/8( 4840- 140²/9) = 1/8 (4840 - 2177.778) = 2662.22/8= 332.775
sd= 18.2422
t= 3/ 18.2422/ √9
t= 0.4933
Since the calculated value of t= 0.4933 is less than t ( 0.025 ,8 ) = 2.306 therefore we accept the null hypothesis at 5 % significance level . On the basis of this we conclude that the book had no effect on their scores.
