Answer:
5,700,500
Step-by-step explanation:
5.7005 million
5.7005 million
Million is written as 1,000,000
Now:
5.7005million is 5.7005 x 1,000,000
This gives: 5,700,500
Answer: $18
Step-by-step explanation:
60% of original cost means 40% is taken off
40% = 0.4
30 x 0.4 = 12 so that is how much will be taken off
30-12= 18
$18
Answer:
Probability: 0.7190
There is not enough evidence at the 5% level of significance to suggest that there is difference in proportions of red-light runners between the two intersections
Step-by-step explanation:
We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in proportion of red-light runners between the 2 lights, then the difference in proportions will be zero. That makes the null hypothesis
H0: p1 - p2 = 0
The question is asking whether there is a difference, meaning that the difference can be higher or lower. If there is a difference, the proportions are not equal. This makes the alternate hypothesis
Ha: p1 - p2 ≠ 0
This is a two tailed test
We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.96 or z < -1.96.
If our test statistic falls in either region, we will reject the null hypothesis.
See the attached photo for the hypothesis and conclusion
The z-value of the test statistic is z = 0.58.
P(z < 0.58) = 0.7190
C 2,4,5 or 8 because 80 is divisible by all of these numbers
Answer:
<u>x = 18</u>
Step-by-step explanation:
1. Let's solve for x, using the supplementary angles theorem, this way:
∠ C = 180 - 7x + 2 because they are supplementary angles. And these angles add up to 180 degrees.
∠ D = 180 - 9x + 31 because they are supplementary angles. And these angles add up to 180 degrees.
∠ E = 180 - 4x - 33 because they are supplementary angles. And these angles add up to 180 degrees.
Now, let's recall that the interior angles of a triangle add up to 180 degrees. Thus:
∠ C + ∠ D + ∠ E = 180 °
Replacing with the real values for solving for x:
180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2 = 180
- 20 x + 540 = 180
- 20 x = 180 - 540 (Subtracting 540 to both sides)
- 20 x = - 360
<u>x = 18 (Dividing by - 20)</u>
<u>Proving that x = 18 is correct</u>
180 - 9x + 31 + 180 - 4x - 33 + 180 - 7x + 2 = 180
180 - 9 (18) + 31 + 180 - 4 (18) - 33 + 180 - 7 (18) + 2 = 180
180 - 162 + 31 + 180 - 72 - 33 + 180 - 126 + 2 = 180
573 - 393 = 180
180 = 180
<u>We proved that x = 18 is correct</u>
