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DerKrebs [107]
3 years ago
15

What is the measurement of angle a?

Mathematics
1 answer:
Illusion [34]3 years ago
6 0
Assuming we have parallel lines, we can solve for x.
Since a = 3x - 10 (vertically opposite angles are equal),
3x - 10 = 2x + 15 (alternate angles are equal)
x = 25

Hence, angle a = 3(25) - 10 = 65°
You might be interested in
Which fraction is greater 36/126 or 42/126?
trapecia [35]
Since both fractions have the same denominator, to find the greater one all you have to do is see which one has a bigger numerator
42>36
the answer is 42/126 is greater
6 0
3 years ago
What is the sum of the 12th square number and the 10th square number?
ivann1987 [24]

Answer:

12^2 is 144 and 10^2 is 100 :)

Step-by-step explanation:

12 * 12 = 144

10 * 10 = 100

5 0
3 years ago
Solution to equation c-4>2(c)
inna [77]
C-4>2c
minus c from both sides
c-c-4>2c-1c
0-4>c
c<-4
c can be any number less than -4
3 0
3 years ago
A driver's education course compared 1,500 students who had not taken the course with 1,850 students who had. Of those students
aivan3 [116]

Answer:

P-value is less than 0.999995 .

Step-by-step explanation:

We are given that a driver's education course compared 1,500 students who had not taken the course with 1,850 students who had.

Null Hypothesis, H_0 : p_1 = p_2 {means students who took the driver's education course and those who didn't took have same chances to pass the written driver's exam the first time}

Alternate Hypothesis, H_1 : p_1 > p_2 {means students who took the driver's education course were more likely to pass the written driver's exam the first time}

The test statistics used here will be two sample Binomial statistics i.e.;

                             \frac{(\hat p_1 - \hat p_2)-(p_1 - p_2)}{\sqrt{\frac{\hat p_1(1- \hat p_1)}{n_1} + \frac{\hat p_2(1- \hat p_2)}{n_2} } } ~ N(0,1)

Here, \hat p_1 = No. of students passed the exam ÷ No.of Students that had taken the course

 \hat p_1  = \frac{1150}{1850}            Similarly,  \hat p_2 = \frac{1440}{1500}          n_1 = 1,850       n_2 = 1,500

  Test Statistics = \frac{(\frac{1150}{1850} -\frac{1440}{1500})-0}{\sqrt{\frac{\frac{1150}{1850}(1- \frac{1150}{1850})}{1850} + \frac{\frac{1440}{1500}(1- \frac{1440}{1500})}{1500} } } = -27.38

P-value is given by, P(Z > -27.38) = 1 - P(Z > 27.38)

Now, in z table the highest critical value given is 4.4172 which corresponds to the probability value of 0.0005%. Since our test statistics is way higher than this so we can only say that the p-value for an appropriate hypothesis test is less than 0.999995 .

6 0
3 years ago
What is the simplification of (-2x+4) + 2(2x+1)
melomori [17]
(-2x+4)+2(2x+1)= -2(-x-3)
4 0
3 years ago
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