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Debora [2.8K]
3 years ago
7

Solve for X. Geometry

Mathematics
1 answer:
kozerog [31]3 years ago
4 0
So since they are similar
AC/BC=CD/CE

so
(66-x)/30=(x+4)/5
times both sides by 5
(66-x)/6=x+4
times both sides by 6
66-x=6(x+4)
distribute
66-x=6x+24
add x to both sides
66=7x+24
minus 24 from both sides
42=7x
divide both sides by 7
6=x
x=6 units
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What is the slope of the line below?
Fittoniya [83]
The slope is 7
change in y over change in x
4 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
2. Choose the graph that shows the solution of the inequality on the number line
horsena [70]

Answer:

Number line 3 also known as [C]

Step-by-step explanation:

<em>Given that:</em>

<em>c ≤ </em>-1

Knowing that:

≤  = Less than or equal to

Now substitute into the equation:

C less than or equal to -1

Thus, it going left on a number line.

The only number line with left is [A] and [C]

Since ≤  = Less than or equal to -1

then, it including -1

also known as a closed circle means the number is included and an open circle means it is not.

Hence, it closed circle.

Thus, the answer is [C]

<u><em>Kavinsky</em></u>

4 0
1 year ago
Find the perimeter of a triangle that has 3 equals sides each 6 centimeters long
aleksandrvk [35]

Answer:

18 centimeters

Step-by-step explanation:

The formula for finding the perimeter is side + base+side . There for you do 6+6+6

that gives you 18

5 0
3 years ago
I learned it before but now I forgot it. Please help!
JulijaS [17]
X should be 3,

because 8x means 8 times what number.

So 8x must be 3.

8 times 3 = 24. 24 +5 = 29.

Hope you Understand :) !
6 0
3 years ago
Read 2 more answers
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