Answer:
x = 7
Step-by-step explanation:
There is a total of 180 degrees in a triangle. To solve you add the other angles and set = to 180 then solve for x
180 = 33 + 90 + 7x +8
172 = 33 + 90 + 7x
139 = 90 +7x
49 = 7x
7 = x
Answer:
0 => -⅘ => 1.5 => 3 => -4 => 
Step-by-step explanation:
The greater the absolute value of a slope, the steeper the slope. By absolute value, we mean the non-negative value of tthe .
To arrange the slope values, from the least steep to the steepest, ignore the negative sign in any of the slope values.
Thus, in the order from the least steep to the steepest, we have:
0 => -⅘ => 1.5 => 3 => -4 =>
The greater the absolute value of the slope, the greater the vertical movement. The greater the vertical movement, the steeper the slope.
A slope value of 0 connotes a horizontal line.
Answer:

Step-by-step explanation:
You have 52 cards in a deck and 13 cards of each suit.
The probability of picking a diamond in a complete deck of cards is:

Or the probability is 13 put of 52.
Since you took out 1 diamond card already there would be only 51 cards left and 12 diamond cards left. So you would have a probability of:

If we simplify it you will have a probability of:

We reject our null hypothesis, H₀, at a level of significance of =0.01 since the P-value is less than that threshold. There is compelling statistical data to indicate that since 1991, the proportion of drivers who love driving has decreased.
Given,
The Pew Research Center recently polled n=1048 U.S. drivers and found that 69% enjoyed driving their automobiles.
In 1991, a Gallup poll reported this percentage to be 79%. using the data from this poll, test the claim that the percentage of drivers who enjoy driving their cars has declined since 1991.
To report the large-sample z statistic and its p-value,
Null hypothesis,
H₀ : p = 0.79
Alternative hypothesis,
Ha : p < 0.79
Level of significance, α = 0.01
Under H₀
Test statistic,

Z₀ = -7.948
The alternative hypothesis(Ha) is left-tailed, so the P-value of the test is given by
P-value = P(z <-7.945)
= 0.000 (from z-table)
Since the P-value is smaller than given level of significance, α=0.01 we reject our null hypothesis, H₀, at α=0.0.1 level Strong statistical evidence to conclude that the percentage of drivers who enjoy driving their cars has declined since 1991.
To learn more about hypothesis click here:
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