Answer:
x = 11√3
y = 22
Step-by-step explanation:
In a 30-60-90 triangle, the hypotenuse is twice the shortest side.
y = 22
The long side is √3 times the short side.
x = 11√3
If you wish to use trigonometric functions:
sin 30° = 11 / y
1/2 = 11 / y
y = 22
tan 30° = 11 / x
1 / √3 = 11 / x
x = 11√3
Answer:
Option B) Do not reject null hypothesis, there is not enough evidence to support the claim that the proportion of homes in Oregon heated by natural gas is different from the 48% that the US Department of Energy reported.
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 333
p = 48% = 0.48
Alpha, α = 0.01
Number of women belonging to union , x = 149
First, we design the null and the alternate hypothesis
This is a two-tailed test.
Formula:
Putting the values, we get,
Now, we calculate the p-value from the table.
P-value = 0.273079
Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.
Thus, there is not enough evidence to support the claim that proportion of homes in Oregon that were heated by natural gas is different from what was reported.
B. Do not reject null hypothesis, there is not enough evidence to support the claim that the proportion of homes in Oregon heated by natural gas is different from the 48% that the US Department of Energy reported.
1 and 1/15
Work backwards, so add 7/18 to 1 5/6 first (I'm gonna add them in improper fraction form to make it easier) and you get 40/18 which is 20/9
Then multiply by 1 1/5 (or 6/5) to get 120/45 which simplifies to 8/3
Then divide by 2 1/2, or 5/2, which means you multiply by the reciprocal (2/5)
8/3 times 2/5 equals 16/15 or 1 1/15
The slope is -2 and the y-intercept is 9
Answer:
Step-by-step explanation:
So when you have a quadratic equation it can usually be expressed as: 
where b and x are the roots of the equation. Since it's just asking for a function whose zeroes are 12 and 1, I'm assuming it doesn't care about the stretch/compression (value of a determines that), so I'll just assume a=1. if 12 and 1 are zeroes, that means it makes one of the factors equal to 0 because is x-b = 0 then no matter the value of x-c the value of y is 0 because 0 * (x-c) will be 0. So the equation becomes plugging in 12 or 1 as x will make one of the factors 0 thus making f(x) equal to 0
