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Artemon [7]
3 years ago
6

The side across from the right angle is called a leg. a. True b. False?

Mathematics
1 answer:
horrorfan [7]3 years ago
7 0
False, the side across from the right angle is called the hypotenuse 
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A states division of motor vehicles claims that 60% of teens pass their drivers test on the first attempt. an investigative repo
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Answer: There is convincing evidence at the  the significance level that the DMV's claim is incorrect.

Step-by-step explanation:

Since we have given that

Hypothesis:

H_0:p=0.6\\\\H_a:p\neq 0.6

Probability of teens pass their drivers test on the first attempt = 60% = 0.60

Number of teens = 125

Number of them passed the tests on their first try = 86

\hat{p}=\dfrac{86}{125}=0.688

So, the value of test statistic would be

z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.688-0.60}{\sqrt{\dfrac{0.6\times 0.4}{125}}}\\\\z=\dfrac{0.088}{0.0438}\\\\z=2.009\\\\z\approx 2.01

At α = 0.05% level of significance, critical value = 1.645

Since 1.645 < 2.01

So, we will reject the null hypothesis.

Hence, there is convincing evidence at the  the significance level that the DMV's claim is incorrect.

7 0
3 years ago
(9w4+5w3+w2+8w+4)+(5w3+2w2+4w+4)
Liono4ka [1.6K]
-3w^2 - 7w - 6 should be sorry if its incorrect
4 0
2 years ago
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A classic car is now selling for $2500 less than three times its original price. If the selling price is now $14,000, what was t
Aneli [31]

Answer:

42000

Step-by-step explanation:

8 0
3 years ago
Sam sharpens pencils for his after school job. He can sharpen 26 pencils in 6 minutes. If he keeps this rate, how many pencils c
andrey2020 [161]

Answer:

234

Step-by-step explanation:

multiply 26 x 9

8 0
3 years ago
You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 1536cm3. Deter
Katen [24]

Answer:

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

Step-by-step explanation:

The volume of the box can be calculated with this formula:

The volume of the box = area of square base X height of the box.

We are given that the length of one side of the square base is = x cm, and its height is h cm.

Area of square base = x^{2}cm^{2}

The surface area of the box will be minimized if the height of the box, is the same as its length. hence, we can take the height of the box to be x cm also.

In this case, the volume of the box will be x^{3}=1536cm^{3}

from this, x =3\sqrt{1536}= 11.53cm

There fore, the box has its length, height, and width all having the same values.

The dimensions of the box are:

Length = 11.53cm

Breadth = 11.53cm

Height = 11.53cm

8 0
3 years ago
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