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Readme [11.4K]
3 years ago
6

If p(x)=2x^3+cx^2+16x+84 and x+2 is a factor of p(x),find the value of c.

Mathematics
1 answer:
Nuetrik [128]3 years ago
4 0

Answer:

c = -9

Step-by-step explanation:

Knowing that -2 is a root, you can do the synthetic division with an unknown value for c. Then solve for the value of c that makes the remainder be zero. See the attachment for the work.

The second attachment shows that (x+2) is a factor of the resulting cubic.

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Persons having Raynaud's syndrome are apt to suffer a sudden impairment of blood circulation in fingers and toes. In an experime
Citrus2011 [14]

Answer:

There is enough evidence to say that the true average heat output of persons with the syndrmoe differs from the true average heat output of non-sufferers.

Step-by-step explanation:

We have to perform a hypothesis test on the difference between means.

The null and alternative hypothesis are:

H_0: \mu_1-\mu_2=0\\\\H_a: \mu_1-\mu_2

μ1: mean heat output for subjects with the syndrome.

μ2: mean heat output for non-sufferers.

We will use a significance level of 0.05.

The difference between sample means is:

M_d=\bar x_1-\bar x_2=0.63-2.09=-1.46

The standard error is

s_{M_d}=\sqrt{\sigma_1^2/n_1+\sigma_2^2/n_2}=\sqrt{0.3^2/9+0.5^2/9}=\sqrt{ 0.038 } \\\\ s_{M_d}=0.194

The t-statistic is

t=\dfrac{M_d}{s_{M_d}}=\dfrac{-1.46}{0.194}=-7.52

The degrees of freedom are

df=n_1+n_2-2=9+9-2=16

The critical value for a left tailed test at a significance level of 0.05 and 16 degrees of freedom is t=-1.746.

The t-statistic is below the critical value, so it lies in the rejection region.

The null hypothesis is rejected.

There is enough evidence to say that the true average heat output of persons with the syndrmoe differs from the true average heat output of non-sufferers.

5 0
3 years ago
How do you write 22.5% as a fraction in simplest form?
Darya [45]

Answer: 9/40

Step-by-step explanation: To write a percent as a fraction in lowest terms, remember that a percent is a ratio that compares a number to 100.

So here, 22.5% can be written as the ratio 22.5 to 100 or 22.5/100.

Notice however that 22.5/100 is not in lowest terms so we need to multiply the numerator and the denominator of 22.5 by 10 in order to remove the decimal point. When we do this, we will end up with the fraction 225/1000.

The fraction 225/1000 can be written in lowest terms by dividing both the numerator and the denominator by 25 and we get the fraction 9/40.

Therefore, 22.5% can be written as the fraction 9/40.

4 0
3 years ago
Help please! I don't know how to do this.
Ira Lisetskai [31]

Answer:

c

Step-by-step explanation:

7 0
3 years ago
Percy is filling a cylindrical tank with water. The tank is
Archy [21]

Answer:

B

Step-by-step explanation:

78x9=702

702/6=117 minutes.

7 0
3 years ago
Read 2 more answers
A train travels 180 miles in 2 hours. A jet goes 7 times faster. How far can the jet fly in 5 hours? Solve in space above.
Anton [14]

Answer: 3150 miles

Step-by-step explanation: Ok, let's break it down...

180 ÷ 2 = 90 / The train travels 90 mph....

90 * 7 = 630 / The jet travels 630 mph....

630 * 5 = 3150 / The jet will travel 3150 miles in 5 hours, I hope this helps!

7 0
3 years ago
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