Answer:
y = 10
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin30° = 
, then
sin30° = 
= 
= ( cross- multiply )
2y = 20 ( divide both sides by 2 )
y = 10
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▹ Answer
<em>x = -7</em>
▹ Step-by-Step Explanation
-3x - 4(4x - 8) = 3(-8x - 1)
<u>Distribute</u>
-3x - 16x + 32 = -24x - 3
<u>Collect like terms</u>
-19x + 32 = -24x - 3
<u>Move variable to the left and change the sign</u>
-19x + 24x + 32 = -3
<u>Collect like terms</u>
5x = -3 - 32
<u>Calculate</u>
5x = -35
<u>Final Answer</u>
x = -7
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
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There's no following. You need to post a picture or complete the question.
Answer:
a)= 2
b) 6.324
c) P= 0.1217
Step-by-step explanation:
a) The mean of the sampling distribution of X`1- X`2 denoted by ux`-x` = u1-u2 is equal to the difference between population means i.e = 2 ( given in the question)
b) The standard deviation of the sampling distribution of X`1- X`2 ( standard error of X`1- X`2) denoted by σ_X`1- X`2 is given by
σ_X`1- X`2 = √σ²/n1 +σ²/n2
Var ( X`1- X`2) = Var X`1 + Var X`2 = σ²/n1 +σ²/n2
so
σ_X`1- X`2 =√20 +20 = 6.324
if the populations are normal the sampling distribution X`1- X`2 , regardless of sample sizes , will be normal with mean u1-u2 and variance σ²/n1 +σ²/n2.
Where as Z is normally distributed with mean zero and unit variance.
If we take X`1- X`2= 0 and u1-u2= 2 and standard deviation of the sampling distribution = 6.324 then
Z= 0-2/ 6.342= -0.31625
P(-0.31625<z<0)= 0.1217
The probability would be 0.1217
