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diamong [38]
3 years ago
14

The radius of a circle measures 5 inches A central angle of the circle measuring 12 radians cuts off a sector

Mathematics
1 answer:
blagie [28]3 years ago
8 0

Answer:

  25/4 square inches

Step-by-step explanation:

The area of a sector of a circle is given by the formula ...

  A = (1/2)r²θ

where r is the radius and θ is the central angle in radians.

For your sector, the area is ...

  A = (1/2)(5 in)²(1/2) = 25/4 in²

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Find the Dot Product if u=8i-7j and v=3i-4j?
Feliz [49]

Answer:

52

Step-by-step explanation:

If u=(a1i+b1j)=(a1,b1) and v=(a2i+b2j)=(a2,b2), then the dot (scalar) product is:

u.v=(a1,b1).(a2,b2)

a1b1+a2b2

 u.v=(8,-7).(3,−4)

(8)(3)+(-7)(−4)

24+28=52

4 0
2 years ago
A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Vadim26 [7]

Answer:

We conclude that deluxe tire averages less than 50,000 miles before it needs to be replaced which means that the claim is not supported.

Step-by-step explanation:

We are given that a particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past studies of this tire, the standard deviation is known to be 8000.

From the 28 tires surveyed, the mean lifespan was 46,500 miles with a standard deviation of 9800 miles.

<u><em>Let </em></u>\mu<u><em> = average miles for deluxe tires</em></u>

So, Null Hypothesis, H_0 : \mu \geq 50,000 miles   {means that deluxe tire averages at least 50,000 miles before it needs to be replaced}

Alternate Hypothesis, H_A : \mu < 50,000 miles    {means that deluxe tire averages less than 50,000 miles before it needs to be replaced}

The test statistics that will be used here is <u>One-sample z test statistics</u> as we know about population standard deviation;

                                  T.S.  = \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean lifespan = 46,500 miles

            \sigma = population standard deviation = 8000 miles

            n = sample of tires = 28

So, <u><em>test statistics</em></u>  =  \frac{46,500-50,000}{\frac{8000}{\sqrt{28} } }

                               =  -2.315

The value of the test statistics is -2.315.

Now at 5% significance level, the z table gives critical value of -1.6449 for left-tailed test. Since our test statistics is less than the critical value of z as -2.315 < -1.6449, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that deluxe tire averages less than 50,000 miles before it needs to be replaced which means that the claim is not supported.

4 0
3 years ago
It takes 36 minutes for 7people to paint 4 walls. How many minutes does it take how many minutes does it take for nine people to
Neporo4naja [7]
Never Mind this is high school sorry
4 0
3 years ago
Write an equation of the line below
Romashka-Z-Leto [24]

Answer:

y=-x-2

Step-by-step explanation:

The slope is negative 1 and the y intercept is -2

3 0
2 years ago
Can someone solve this 6x-9=3(2x-3) for me plzzzzz and thankyou <br> HANDING OUT BRAINLiEST'S
Gemiola [76]

Answer:

6x-9 = 6x -9

infinite solutions as they are the same equation.

3 0
3 years ago
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