Answer:
3rd option: x= 40
Step-by-step explanation:
4x° +20°= 180° (adj. ∠s on a str. line)
<em>Bringing</em><em> </em><em>constants</em><em> </em><em>to</em><em> </em><em>1</em><em> </em><em>side</em><em>:</em>
4x°= 180° -20°
<em>Simplify</em><em>:</em>
4x°= 160°
<em>Divide</em><em> </em><em>by</em><em> </em><em>4</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>
x°= 40°
Thus, x=40.
Answer:
The P-value is 0.0234.
Step-by-step explanation:
We are given that a statistics practitioner calculated the mean and the standard deviation from a sample of 400. They are x = 98 and s = 20.
Let = population mean.
So, Null Hypothesis, : = 100 {means that the population mean is equal to 100}
Alternate Hypothesis, : > 100 {means that the population mean is more than 100}
The test statistics that will be used here is One-sample t-test statistics because we're yet to know about the population standard deviation;
T.S. = ~
where, = sample mean = 98
s = sample standard deviation = 20
n = sample size = 400
So, the test statistics = ~
= -2
The value of t-test statistics is -2.
Now, the P-value of the test statistics is given by;
P( < -2) = 0.0234 {using the t-table}
Answer:
solution given:
4(2x − 5) = 4
2x-5=4/4
2x=1+5
x=6
Step-by-step explanation:
Part A:One
Part B:x=6
Answer: P(not shaded sector) = 0.50
Step-by-step explanation:
Since we have given that
Number of shaded parts = 6
Number of unshaded parts = 6
Total parts = 6+6 = 12
So, Probability of getting not shaded sector is given by
Hence, P(not shaded sector) = 0.50
Pattern is -5 then +3, so next number is 46-5 which is 41, and then that plus 3, which is 44
So 41 and 44
