Suppose <br> g(x) = x^2f(x)<br> and it is known that f(3) = 5 and f '(3) = −2. Evaluate g'(3).

AleksandrR [38]

The height of an interior residential door is about 7 ft.

Doors on commercial buildings or upscale residences may be taller. The usual width is about 3 ft.

_____

My front door measures 6 2/3 ft high by about 3 ft wide. My bedroom doors are 2 1/2 ft wide. The minimum for ADA-compliant doors is 2 2/3 ft.

8 0

3 years ago

Please Help me A.S.A.P.

kati45 [8]

Answer:

16.01%

Step-by-step explanation:

45-28.99 is 16.01, so it's 16.01%.

4 0

2 years ago

The degenerative disease osteoarthritis most frequently affects weight-bearing joints such as the knee. Two random samples from

Vinvika [58]

Answer:

$t=\frac{(810-770)-0}{\sqrt{\frac{67^2}{13}+\frac{56^2}{19}}}}=1.771$

$df=n_1 +n_2 -2=13+19-2=30$

Since is a right tailed test the p value would be:

$p_v =P(t_{30}>1.771)=0.0434$

Comparing the p value with the significance level $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and the mean for group 1 is significantly higher than the mean for the group 2

Step-by-step explanation:

Data given

$\bar X_{1}=810$ represent the mean for sample 1

$\bar X_{2}=770$ represent the mean for sample 2

$s_{1}=67$ represent the sample standard deviation for 1

$s_{2}=56$ represent the sample standard deviation for 2

$n_{1}=13$ sample size for the group 2

$n_{2}=19$ sample size for the group 2

$\alpha=0.05$ Significance level provided

t would represent the statistic (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the mean for category 1 is higher than the mean for category 2, the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}\leq 0$

Alternative hypothesis: $\mu_{1} - \mu_{2}> 0$

We don't have the population standard deviation's, so for this case is better apply a t test to compare means, and the statistic is given by:

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=13+19-2=30$

t-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

With the info given we can replace in formula (1) like this:

$t=\frac{(810-770)-0}{\sqrt{\frac{67^2}{13}+\frac{56^2}{19}}}}=1.771$

P value

Since is a right tailed test the p value would be:

$p_v =P(t_{30}>1.771)=0.0434$

Comparing the p value with the significance level $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and the mean for group 1 is significantly higher than the mean for the group 2

4 0

3 years ago

Find the area of a circle with a circumference of 6.28 units

viktelen [127]

Answer:

area of the circle = 3.14 square units

Step-by-step explanation:

Circumference of the circle formula is $2\pir$

where r is the radius of the circle

given circumference = 6.28

$2\pir$ = 6.28

Value of pi is 3.14

2*3.14 * r= 6.28

6.28 r = 6.28

divide by 6.28 on both sides

r = 1

radius = 1

Area of the circle = $\pi r^2$

= 3.14 *1*1 = 3.14

6 0

2 years ago

What is greater -44 or 29?

Evgesh-ka [11]

Answer:

29

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Suppose g(x) = x^2f(x) and it is known that f(3) = 5 and f '(3) = −2. Evaluate g'(3).