Answer:
C) x=35
Step-by-step explanation:
First, we know that the total amount of degrees in a rotation is 360. As the picture tells us, the opposite angles will be exactly the same. Taking this information, we can have the following equation:
4x + 2(3x+5) = 360
By now using our linear equation skills, we get:
10x+10=360
10x=350
x=35
The degree amount of x for c) is 35 degrees.
Answer:
We fail to reject H0; Hence, we conclude that there is no significant evidence that the mean amount of water per gallon is different from 1.0 gallon
Pvalue = - 2
(0.98626 ; 1.00174)
Since, 1.0 exist within the confidence interval, then we can conclude that mean amount of water per gallon is 1.0 gallon.
Step-by-step explanation:
H0 : μ= 1
H1 : μ < 1
The test statistic :
(xbar - μ) / (s / sqrt(n))
(0.994 - 1) / (0.03/sqrt(100))
-0.006 / 0.003
= - 2
The Pvalue :
Pvalue form Test statistic :
P(Z < - 2) = 0.02275
At α = 0.01
Pvalue > 0.01 ; Hence, we fail to reject H0.
The confidence interval :
Xbar ± Margin of error
Margin of Error = Zcritical * s/sqrt(n)
Zcritical at 99% confidence level = 2.58
Margin of Error = 2.58 * 0.03/sqrt(100) = 0.00774
Confidence interval :
0.994 ± 0.00774
Lower boundary = (0.994 - 0.00774) = 0.98626
Upper boundary = (0.994 + 0.00774) = 1.00174
(0.98626 ; 1.00174)
The statement suppose <span>that r varies directly with s and inversely with t is best represented as:
r </span>α s/t
To make it into equality, we insert a proportionality constant, k:
r = ks/t
Using the initial conditions, we solve for k.
r = ks/t
<span>r = 2 when s = 3 and t = 12
2 = k(3)/12
k = 8
Thus, when </span><span>s = 5 and t = 4,
</span>
r = 8(5)/4
r = 10 -----> OPTION C
Answer:
A≈153.94cm²
Step-by-step explanation:
A=πr2
d=2r
Solving forA
A=1
4πd2=1
4·π·142≈153.93804cm²
I Can't Figure That Out, Because X Is Unknown. So I Still Don't Know If He Used 900 Grams Of Flower, How Many Eggs He Used. The Answer Is X, Since We Don't Know How Much X Is.
