Answer:
<6, <5, <7 all equal 48 degrees.
<1, <2, <3, <4 all equal 132 degrees.
Step-by-step explanation:
Straight angles (like <5 & <2) are supplementary, so they equal 180 when added together
Vertical angles (like <2 & <1) have the same measurments
Corresponding angles (like <8 & <6) have the same measurements
Alternate interior angles (like <8 & <5) have the same measurments
Alternate exterior angles (like <6 & <7) have the same measurements
Same-side interior angles (like <8 & <2) are supplementary, so they add to 180.
There's more, and there's other ways to do this, this is just an example. Good luck! <3
Answer:
b. y ≤ x + 1 and y > x - 3
Explanation:
First of all, remember that a solid line means the inequality has a ≤ or ≥ sign, and a dotted line means the inequality has a < or > sign.
One way to solve this is to find a point inside the shaded region, like (0, 0) that you can test in the options to see which ones work. Another method is to figure out what the graph of each line is and then make sure the signs are turned the right direction so the shading is correct.
We know that the first inequality should have a greater/less than or equal to sign because the line is solid and the second inequality should just be a greater/less than sign because the line is dotted. That means it has to be B, because this is the only correct combination of signs.
But to be sure, you should check. Try (-1,0) and (0, 0)
y ≤ x + 1 and y > x - 3
0 ≤ -1 + 1 0 > - 1 - 3
0 ≤ 0 yes 0 > - 4 yes
0 ≤ 0 + 1 0 > 0 - 3
0 ≤ 1 yes 0 > -3 yes
Yes it is true that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars because null hypothesis is rejected.
Given among 2049 Connecticut passenger cars, 239 had only rear license plates. Among 334 Connecticut trucks, 45 had only rear license plates.
let
be the probability that commercial cars have rear license plates and
be the probability that connected trucks have rear license plates.
Cars Trucks Total
Total 2049 334 2383
x 239 45 284
p 0.1166 0.1347 0.1191
α=0.05
Hypothesis will be :


It is a left tailed test at 0.05 significance.
Standard errors of p=
=
=
=0.0066
Test statistic Z=p difference/standard error
=(0.1166-0.1347)/0.0066
=-0.0181/0.0061
=-2.967
p value=0.001505<5%
Since p is less than 5% we reject null hypothesis.
We cannot calculate standard deviation so we cannot calculate confidence interval.
Hence there is statistical evidence at 5% significance level to support that commercial truck owners violate laws requiring front license plates at a higher rate than owners of passenger cars.
Learn more about z test at brainly.com/question/14453510
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A linear function has the form : f(x)=ax+b
we are given that
f(0)=a*0+b=b is <span>$14,500.
so the sales in the first year were </span>$14,500.
f(1) gives the sales in the second year (year 83)
f(2) gives the sales in the third year (year 84)
.
.
f(5) gives the sales in the sixths year (year 87)
the slope of the line, a, is given by :

thus,
S=ax+b=10,200x+<span>14,500
</span>
Answer: S=10,200x+14,500
Answer:
-15 Is the answer
Step-by-step explanation:
(-5)(7)+4×5
= -15
(-5)(7) + 4×5 = -15/1 = -15
Multiple: -5 * 7 = -35
Multiple: 4 * 5 = 20
Add: the result of step No. 1 + the result of step No. 2 = -35 + 20 = -15
Hope this helps.