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nataly862011 [7]
3 years ago
5

AD is the perpendicular bisector of BC. BD = 5x - 10 and DC = 3x + 10. Determine the value of x.

Mathematics
1 answer:
Nookie1986 [14]3 years ago
6 0

Answer: x= 10

Step-by-step explanation:

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Roxanne has 142 songs on her MP3 player Tessa has 11 times as many songs as Roxanne so how many songs does Tessa have?
den301095 [7]

Answer:

142×11=1152

Step-by-step explanation:

hope it helps you:)

4 0
3 years ago
7. License Plate Laws The Chapter Problem involved passenger cars in Connecticut and passenger cars in New York, but here we con
sergejj [24]

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 p_{1} be the probability that commercial cars have rear license plates and p_{2} 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  :

H_{0}:p_{1} =p_{2}

H_{1} :p_{1} < p_{2}

It is a left tailed test at 0.05 significance.

Standard errors of p=\sqrt{p(1-p)/n}

=\sqrt{(0.1191*0.8809)/2383}

=\sqrt{0.1049/2383}        

=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

#SPJ4

5 0
2 years ago
What is the y-intercept of the line represented by the equation y = 2x - 3?
cestrela7 [59]
Y =Mx + C 
where M = gradient / slope
           C = y intercept

comparing with y = 2x - 3
M = 2
C = -3 
5 0
3 years ago
A debate team of 4 members for a high school will be chosen randomly from a potential group of 15 students. Ten of the 15 studen
iragen [17]

Answer:

A) 0.1538

Step-by-step explanation:

4 members are going to be chosen:

M1 - M2 - M3 - M4

We have to find the probability that for each member, one without experience is chosen. There is no replacents.

Initially, we have 15 students, of which 10 have none experience. So the probability that M1 is chosen as a student with no experience is \frac{10}{15}.

Then, there are 14 students, of which 9 have no experience. So the probability that M2 is chosen as a student with no experience is \frac{9}{14}.

For the third member, there are 13 students, of which 8 have no experience. So the probability that M3 is chosen as a student with no experience is \frac{8}{13}.

For the last member, there are 12 students, of which 7 have no experience. So the probability that M4 is chosen as a student with no experience is \frac{7}{12}.

What is the probability that none of the members chosen for the team have any competition experience?

This is

P = \frac{10}{15}*\frac{9}{14}*\frac{8}{13}*\frac{7}{12} = 0.1538

The correct answer is:

A) 0.1538

7 0
3 years ago
If a rectangle is inscribed in a circle, each diagonal also serves another function. What is this function?
Kipish [7]

Answer:

A right triangle inscribed in a circle must have its hypotenuse as the diameter of the circle.

Step-by-step explanation:

A rectangle is made of two right triangles then a rectangle inscribed in a circle must have its diagonal as the diameter of the circle. Hope this helps

7 0
3 years ago
Read 2 more answers
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