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muminat
2 years ago
7

Solve similar triangles (advanced)

Mathematics
1 answer:
andrew11 [14]2 years ago
5 0

Answer:

Step-by-step explanation:

There are 2 similar triangles.

EDA and CBA

From that we can get the following proportion.

ED / CB = AD / AB

Filling in the letters we get

6/x = (4 + 3)/3            Combine

6/x = 7/3                    Cross Multiply

7x =6*3

7x = 18                        Divide by 7

x = 2.57

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A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Minchanka [31]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the distance traveled by deluxe tire .

As per given , we have

Null hypothesis : H_0 : \mu \geq50000

Alternative hypothesis : H_a : \mu

Since H_a is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

s=sample standard deviation

For n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800, we have

z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23)   [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

 Decision : Since p value (0.0129) < significance level  (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

4 0
3 years ago
-2x+5=4x-7 solve for x. Show all work
Neko [114]

Answer:

2=x

Step-by-step explanation:

-2x+5=4x-7

+2x     +2x

5=6x-7

+7     +7

12=6x

/6

2=x

7 0
3 years ago
Read 2 more answers
-6(2x + 4) = 12 what is the answer <br>​
katrin2010 [14]
The answer to your question is -3 !!
3 0
3 years ago
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Use the elimination method to solve the system of equations.Choose the correct ordered pair. -x + y -2 , 2x -3y = 4​
AnnZ [28]

Answer:

To use the elimination method one coefficient of either x or y must be the same number with opposite signs, so the ordered pair is (-10, -8)

Step-by-step explanation:

2(-x+y=2) Make one of the coefficients equal, with opposite signs.

2x-3y=4  Combine equations.

-y=8 Solve, y=-8

Then find x, -x-8=2

-x=10, so x= -10

(-10, -8) is your answer.

6 0
2 years ago
The area of a triangle is 1440cm^2 the base of tge triangle is 5 times the height of the triangle
Oduvanchick [21]
What should we find...
Probably base and the height...

Area = 1440cm²

base = 5×height

base = 5h

Area of triangle = base × height

1440 = 1/2 × 5h × h

1440 = 5h²/2

5h² = 2880

h² = 2880/5

h² = 576

h=24cm..

Height = 24cm

Since base = 5h

Base = 5×24

Base = 120cm...

Hope this helped....

Base =
4 0
3 years ago
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