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andre [41]
3 years ago
7

Determine if the two triangles are congruent. If they are, state how you know. PLEASE HELP

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
4 0

Answer:

1,2,3,4,6: they all have equal angles and ticks. They are congruent

Step-by-step explanation:

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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
Find the value of y. Round your answers to the nearest tenth
ANTONII [103]

Answer:

y ≈ 4.3

Step-by-step explanation:

Since the figures are similar then the ratios of corresponding sides are equal, that is

\frac{AB}{RS} = \frac{ED}{VU} , substitute values

\frac{6}{4} = \frac{8}{y+1} ( cross- multiply )

6(y + 1) = 32

6y + 6 = 32 ( subtract 6 from both sides )

6y = 26 ( divide both sides by 6 )

y ≈ 4.3 ( to the nearest tenth )

4 0
2 years ago
Read 2 more answers
M= 2/3, (0,2) i don’t understand it and all my grades are falling
larisa86 [58]

Answer:

y = 2/3x+2

Step-by-step explanation:

6 0
3 years ago
Packages of laundry soap are labeled 70 oz, but they are actually filled with mean contents of 70.2 oz and standard deviation 0.
kozerog [31]

Answer:

Step-by-step explanation:

3 0
2 years ago
Simplify the expression. Quantity cosecant of x to the power of two times secant of x to the power of two divided by quantity se
Art [367]

Answer:

D. 1

Step-by-step explanation:

We have the expression, \frac{\csc^{2}x\sec^{2}x}{\sec^{2}x+\csc^{2}x}

We get, eliminating the cosecant function,

\frac{\sec^{2}x}{\frac{\sec^{2}x}{\csc^{2}x}+1}

As, sinx is reciprocal of cosecx and cosx is reciprocal of secx,

i.e. \frac{\sec^{2}x}{\frac{\sin^{2}x}{\cos^{2}x}+1}

i.e. \frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}

Since, we know that, \sin^{2}x+\cos^{2}x=1

Thus,

\frac{1}{\cos^{2}x}\times \frac{\cos^{2}x}{\sin^{2}x+\cos^{2}x}=1

So, after simplifying, we get that the result is 1.

Hence, option D is correct.

3 0
2 years ago
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