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Free_Kalibri [48]
3 years ago
8

Which is a factor of each term of the polynomial? (3d2 – 10d)

Mathematics
1 answer:
diamong [38]3 years ago
4 0
D is common in both polynomials
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A rectangle has a perimeter of 10 meters. Choose all the possible dimensions of the rectangle. Make as manny a possible
ryzh [129]
Some basic dimensions could be 4x1 and 3x2
3 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
Sophia has $91,000 in a savings account that earns 7% annually. The interest is not compounded. To the nearest cent, how much wi
USPshnik [31]

Answer:

$95777.5

Step-by-step explanation:

change 7% to decimal = .07

91,000 * .07 = 5370 (annual interest)

5370 / 12 = 530.83 (monthly interest)

530.83 * 9 = 4777.5 (9 months interest)

91,000 + 4777.5 = 95777.5 (initial + 9 months interest)

6 0
3 years ago
A city has 4 new houses for every 7 old houses. If there are 32 new houses in the city, how many old houses are there?
Maslowich

So the ration is 4:7

The total of houses is 32 new houses. What I did was I divided 32 by 4:

32/4 = 8

That means that the ratio (4:7) would be multiplied by 8 (only the :7 part):

7 * 8 = 56

There are 56 old houses (the ratio is now 32:56)

<em>Thank you and can you please give me brainly :3</em>

<em />

3 0
3 years ago
Find the circumference of the pizza to the nearest whole number.
Sonja [21]

C= 2πr

C= 2 x 3.14 x 7

C = 43.96 inches

4 0
2 years ago
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