PLEASE HELP MEE I CAN'T SOLVE THIS BY MYSELF!
1 answer:
Answer:
x = 22
Step-by-step explanation:
The figure is attached below.
Its given that SV is parallel to RU. We have to find the value of x.
Observe that, if we join point V to U, we will obtain a parallelogram RSVU. One of the properties of a parallelogram is that the sum of its two adjacent angles is always 180 degrees.
So, the two adjacent angles would be: ∠S and ∠R
From the figure:
∠S = 5x + 4
∠R = 44 + x
Since,
∠S + ∠R must be 180 degrees, we can write:
∠S + ∠R = 180
5x + 4 + 44 + x = 180
6x + 48 = 180
6x = 132
x = 22
Therefore, the value of x is 22.
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Answer:
y = -16
Step-by-step explanation:
First lets handle the fractional y's:
This can be reduced down to 2y. That is easier to work with. Next we will rewrite the equation using or new value for y:
35 + 2y = 3
Subtract 35 from both sides:
2y = -32
Next, divide both sides by 2
y = -16
Check our answer:
35 +
35 -40 + 8 = 3
-5 + 8 = 3
3 = 3
Answer:
(1) : p = 0.5,
: p > 0.5
(2) Test statistic = 3.08
(3) P-value = 0.00104
Step-by-step explanation:
We are given that a simple random sample of 1475 adults shows that 54% of Americans think the Civil War is still relevant to American politics and political life.
We have to test the hypothesis to determine if there is a strong evidence that the majority of the Americans think the Civil War is still relevant.
(1) Let Null Hypothesis, : p = 0.50 {means that 50% of the Americans think that the Civil War is still relevant}
Alternate Hypothesis, : p > 0.50 {means that majority of the Americans think that the Civil War is still relevant,i.e; more than 50%}
The test statistics that will be used here is One-sample proportion test;
T.S. = ~ N(0,1)
where, = % of Americans who think that the Civil War is still relevant in a sample of 1475 adults = 54%
p = population proportion
n = sample of american adults = 1475
(2) So, <u>test statistics</u> =
= 3.08
The value of test statistic for this hypothesis test is 3.08.
(3) P-value is given by the following situation;
P(Z > 3.08) = 1 - P(Z 3.08) {using z table}
= 1 - 0.99896 = 0.00104
So, the p-value for this hypothesis test is 0.00104.