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Answer:

H0: [tex] \sigma^2_1 = \sigma^2_2[/tex]

H1: [tex] \sigma^2_1 \neq \sigma^2_2[/tex]

The statistic would be given by:

[tex]F=\frac{s^2_2}{s^2_1}=\frac{10}{8}=1.25[/tex]

Step-by-step explanation:

Information given

[tex]n_1 = 60 [/tex] represent the sample size 1

[tex]n_2 =40[/tex] represent the sample size 2

[tex]s^2_1 = 8[/tex] represent the sample variance 1

[tex]s^2_2 = 10[/tex] represent the sample variance 2

The statistic to check the hypothesis is given by:

[tex]F=\frac{s^2_2}{s^2_1}[/tex]

Hypothesis to test

We want to test if the two variances are equal, so the system of hypothesis are:

H0: [tex] \sigma^2_1 = \sigma^2_2[/tex]

H1: [tex] \sigma^2_1 \neq \sigma^2_2[/tex]

The statistic would be given by:

[tex]F=\frac{s^2_2}{s^2_1}=\frac{10}{8}=1.25[/tex]

Answer:

V(speed)=3.5 mile per hour

Step-by-step explanation:

[tex]V=mile per hour[/tex]

[tex]V=\frac{7}{8}/ \frac{1}{4}[/tex]

[tex]V=\frac{7}{8}*\frac{4}{1}[/tex]

[tex]V=\frac{7}{8}*4[/tex]

[tex]V=3.5[/tex]

Answer:

The rate of change of the Coyote population in 2002 is 32

Step-by-step explanation:

Given the formula for the population of a Coyotes in the Northwestern portion of Alabama, we are to calculate rate of change of the Coyote population in the year 2002 where t = 2

The formula is given as;

P(t) = (t^2 + 100) ln (t + 2)

The rate of change refers to the first integral of the formula;

Thus we need to calculate this by the use of product formula;

The first differential of t^2 + 100 is 2t

while that of ln(t + 2) is 1/(t + 2)

P’(t) = 2t(ln (t+2)) + (t^2 + 100) (1/t+2)

Now, we substitute 2 for the value of t here.

P’(2) = 2(2)( ln (2 + 2) + (2^2 + 100)(1/(2+2))

P’(2) = 4 ln 4 + 104(1/4)

P’(2) = 4ln 4 + 26

P’(2) = 5.55 + 26 = 31.55 which is approximately 32

Answer:

A and D

Step-by-step explanation:

Either rotate the dilated circle 180° about point C or Translate the dilated circle so that it's centre is at point B so that we come to know that the circles are similar

Answer: 12 hours

Step-by-step explanation:

Let x = time it takes to fill the pool if the inlet pipe and drain pipe are both open

1/6 = portion of pool filled per hour by the inlet pipe

1/12 = portion of pool emptied per hour by the drain

1/x = portion of pool filled per hour if the inlet pipe and drain are both open

Then, 1/6 - 1/12 = 1/x

Multiply by the LCD, 12x, to obtain

2x - x = 12

x = 12 hours

The net outward flux across the boundary of the tetrahedron is: -4

What is the gradient of a function in a vector field?

The gradient of a function is related to a vector field and it is derived by using the vector operator ∇ to the scalar function f(x, y, z).

Given vector field:

F = ( -2x, y, - 2 z )

[tex]\mathbf{\nabla \cdot F = ( i \dfrac{\partial }{\partial x }+ j \dfrac{\partial}{\partial y} + k \dfrac{\partial}{\partial z}) \langle -2x, y, -2z \rangle}[/tex]

[tex]\mathbf{ \nabla \cdot F = ( \dfrac{\partial }{\partial x }(-2x)+ \dfrac{\partial}{\partial y}(y) + \dfrac{\partial}{\partial z}(-2z))}[/tex]

= -2 + 1 -2

= -3

According to divergence theorem;

Flux [tex]\mathbf{=\iiint _v \nabla \cdot (F) \ dv}[/tex]

x+y+z = 2; [tex]1^{st}[/tex]  Octant

[tex]= \int\limits^2_0 \int\limits^{2-x}_0 \int\limits^{2-x-y}_0 -3dzdydx[/tex]

[tex]=-3 \int\limits^2_0 \int\limits^{2-x}_0 (2-x-y)dy dx[/tex]

[tex]= -3 \int\limits^2_0[(2-x)y - \dfrac{y^2}{2}]^{2-x}__0 \ \ dx[/tex]

[tex]= -3 \int\limits^2_0(2-x)^2 - \dfrac{(2-x)^2}{2} dx[/tex]

[tex]= -3 \int\limits^2_0\dfrac{(2-x)^2}{2} dx = - \dfrac{3}{2} \int\limits^2_0(4-4x+x^2) dx[/tex]

[tex]=- \dfrac{3}{2}(4x-x^2 + \dfrac{x^3}{3})^2_0[/tex]

[tex]=- \dfrac{3}{2}(8-8+\dfrac{8}{3})[/tex]

[tex]=- \dfrac{3}{2}(\dfrac{8}{3})[/tex]

= -4

Therefore, we can conclude that the net outward flux across the boundary of the tetrahedron is: -4

Learn more about the gradient of a function here:

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Answer:

x = 23

Step-by-step explanation:

2x + 5y = 35 * (-3) ------>  -6x -15y = -105 (A)

x = -10 - 15y -----> x + 15y = -10 (B)

(A) + (B)

-5x = -115

x = 23

Answer:

Approximately 23,433 children will have cancer.

Step-by-step explanation:

3/1500 can be simplified to 1/500, which can also be written as 0.002. To find the number of children who have cancer, we do 11,721,722 * 0.002, which gives us 23,433.444 which we can round to 23,433.

Answer:

[tex]t=\frac{7.4-7}{\frac{0.7}{\sqrt{7}}}=1.512[/tex]    

The degrees of freedom are

[tex]df=n-1=7-1=6[/tex]  

And the p value for this case is:

[tex]p_v =2*P(t_{(6)}>1.512)=0.181[/tex]  

The p value is a higher value and using a significance levels of 5% or 10% we see that the p value is higher than the significance level and then we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true mean is different from 7 ounces.

Step-by-step explanation:

Information provided

[tex]\bar X=7.4[/tex] represent the sample mean

[tex]s=0.7[/tex] represent the sample standard deviation

[tex]n=7[/tex] sample size  

[tex]\mu_o 7[/tex] represent the value to verify

t would represent the statistic

[tex]p_v[/tex] represent the p value

System of hypothesis

We want to verify if the average amount of coffee per cup is different from 7 ounces, the system of hypothesis would be:  

Null hypothesis:[tex]\mu = 7[/tex]  

Alternative hypothesis:[tex]\mu \neq 7[/tex]  

The statistic is given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing the info given we got:

[tex]t=\frac{7.4-7}{\frac{0.7}{\sqrt{7}}}=1.512[/tex]    

The degrees of freedom are

[tex]df=n-1=7-1=6[/tex]  

And the p value for this case is:

[tex]p_v =2*P(t_{(6)}>1.512)=0.181[/tex]  

The p value is a higher value and using a significance levels of 5% or 10% we see that the p value is higher than the significance level and then we FAIL to reject the null hypothesis and we don't have enough evidence to conclude that the true mean is different from 7 ounces.

Answer:

Step-by-step explanation:

84?

8+4 is 12, and 84 is greater than 80, and less than 90

Answer:

84

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. 6w*2v + 3*6w= 12vw + 18w

2. 7(-5v) - 7(8)= -35v - 56

3. 2x*(-2x) - 3(2x) = -4x^2 - 6x

4. -4*v - 4(1)= -4v - 4

5. 2n*6n + 2n + 2*6n + 2= 12n^2 + 14n + 2

6. 4n(2n) + 4n(6) + 2n + 6= 8n^2 + 26n + 6

7. x(6x) - 2x - 18x + 6 = 6x^2 - 20x + 6

8. 8p(6p) + 8p(2) - 2(6p) - 4 = 48p^2 + 16p - 12p - 4= 48p^2 + 4p - 4

9. 6p(5p) - 6p(8) + 8(5p) - 40= 30p^2 - 48p + 40p - 40= 30p^2 - 8p - 40

10. 3m(8m) + 3m(7) - 8m - 7 = 24m^2 + 21m - 8m - 7= 24m^2 + 13m - 7

11. 2a(8a) - 2a(5) - 8a + 5 = 16a^2 - 10a - 8a + 5 = 16a^2 - 18a + 5

12. 5n(5n) - 5n(5) + 6(5n) - 6(5)= 25n^2 - 25n + 30n - 30= 25n^2 + 5n - 30

13. 4p(4p) - 4p - 4p + 1 = 16p^2 - 8p +

14. 7x(5x) + 7x(6) -6(5x) - 6(6)= 35x^2 + 42x - 30x - 36= 35x^2 + 12x - 36

Answer:

 Slope = 4.000/2.000 = 2.000

 x-intercept = 6/2 = 3

 y-intercept = -6/1 = -6.00000

Step-by-step explanation:

Step by step solution :

Step  1  : Equation of a Straight Line

Graph of a Straight Line

Calculate the Y-Intercept

Calculate the X-Intercept

Calculate the Slope

Answer for y=2x-6  is below

Answer:  

Slope = 4.000/2.000 = 2.000

 x-intercept = 6/2 = 3

 y-intercept = -6/1 = -6.00000

Hope this helps.

Answer:

Hello

The answer is 3855'5

Step-by-step explanation:

At first change lbs to kg.

Then you'll change the kg to grkg×1000=gr

Answer:

About 36.87

Step-by-step explanation:

The sine of an angle in a right triangle is the length of the opposite side divided by the length of a hypotenuse, which in this case is 3/5. Therefore, the measure of the angle is the arcsin of 3/5 or about 36.87 degrees. Hope this helps!

Answer:

10 cm

Step-by-step explanation:

نستخدم فيثاغورس

ٲب²+ب ج²=ج ٲ²

ج ٲ²= 6²+8²

ج ٲ²= 100

ج ٲ= 10 سم

Answer:

3 1/2

Step-by-step explanation:

7 1/4 - 3 3/4

Borrow 1 from the 7 in the form of 4/4

6 + 4/4 + 1/4 - 3 3/4

6 5/4 - 3 3/4

3 2/4

Simplify the fraction

3 1/2

Answer:

[tex]3 \frac{1}{2} [/tex]

Step-by-step explanation:

[tex]7 \frac{1}{4} - 3 \frac{3}{4} \\ \frac{29}{4} - \frac{15}{4} \\ = \frac{14}{4} \\ = \frac{7}{2} \\ = 3.5 = 3 \frac{1}{2} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

Find half the difference of 14 and 6, multiply by 6, then add 4.(B)

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

Option (1).

Time taken by Tina to walk = 56 minutes

Time taken by her sister to walk the same distance = x minutes

If both the sisters take the same time to walk, then

x = 56 minutes

Option (2).

Let the height of Tina = x inches

and the height of her brother = 56 inches

if Tina is shorter than her brother then,

x < 56 inches

Option (3).

Tina's dog weighed two months ago = 56 pounds

If the dog gained the weight in two months then weight before 2 months will be less than the present weight.

Let the weight of her dog is x pounds now,

x > 56 pounds

Option (4).

Amount with Tina = $x

Cost of the camera = $56

If the money with Tina has enough money to buy the camera, then the amount of money with her will be higher than the cost of the camera.

x > $56

Option (2) will be the answer.

Answer:

The 95% confidence interval for the mean consumption of meat among people over age 29 is between 2.8 pounds and 3 pounds.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error M as such

[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.96*\frac{1.4}{\sqrt{2092}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 2.9 - 0.1 = 2.8 pounds

The upper end of the interval is the sample mean added to M. So it is 2.9 + 0.1 = 3 pounds.

The 95% confidence interval for the mean consumption of meat among people over age 29 is between 2.8 pounds and 3 pounds.

Answer:

[tex]2.9-1.96\frac{1.4}{\sqrt{2092}}=2.84[/tex]    

[tex]2.9+1.96\frac{1.4}{\sqrt{2092}}=2.96[/tex]    

The confidence interval is given by [tex]2.84 \leq \mu \leq 2.96[/tex]

Step-by-step explanation:

Information given

[tex]\bar X=2.9[/tex] represent the sample mean

[tex]\mu[/tex] population mean

[tex]\sigma =1.4[/tex] represent the population standard deviation

n=2092 represent the sample size  

Confidence interval

The confidence interval is given by:

[tex]\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}[/tex]   (1)

Since the Confidence interval is 0.95 or 95%, the significance is [tex]\alpha=0.05[/tex] and [tex]\alpha/2 =0.025[/tex], and the critical value would be [tex]z_{\alpha/2}=1.96[/tex]

Replacing the info we got:

[tex]2.9-1.96\frac{1.4}{\sqrt{2092}}=2.84[/tex]    

[tex]2.9+1.96\frac{1.4}{\sqrt{2092}}=2.96[/tex]    

The confidence interval is given by [tex]2.84 \leq \mu \leq 2.96[/tex]

Answer:

I think that it would be A

Step-by-step explanation:

If it were not a sailor, I would say B, but a sailor can face a hurricane at sea.

Answer:

Step-by-step explanation:

7.9

Answer:

y - 4 = (-3/2)(x - 4)

Step-by-step explanation:

Here's how we obtain the blue graph:

1) translate the red graph 5 units to the right, and

2) translate the resulting graph 5 units upward.

The equation of the blue graph is y - 4 = (-3/2)(x - 4)

Answer:

Correlation Coefficient

Step-by-step explanation:

The correlation coefficient (r) is a numerical measure that measures the strength and direction of a linear relationship between two quantitative variables.

Answer:

4over27

Step-by-step explanation:

8over9 divided by 6 equals 8over54 which simplifies to 4over27

Answer:

4 over 27

Step-by-step explanation:

she spent 6 day reading, there 7 day in a week so we have to change it to 7 and four pages.

Answer:

X probability = 0.02

Cumulative frequency at x ( 6 ) = 1

Step-by-step explanation:

X       P ( X )            Cf ( X )

1        0.58                0.58

2        0.18                0.58 + 0.18 = 0.76

3        0.10                0.76 + 0.10 = 0.86

4        0.07                0.86 + 0.07 = 0.93

5        0.05                0.93 + 0.05 = 0.98

6        0.02                0.98 + 0.02 = 1

Answer:

 A two column table with five rows. The first column, x, has the entries, 0, 1, 2, 3. The second column, y, has the entries, negative 1.5, 1.5, 3, 4.5.

Step-by-step explanation:

When the x-values are evenly spaced, a linear function will have evenly-space y-values.

In the first table, the y-differences are all +8.

In the second table, the y-differences are 0, 1.5, 1.5, so are not all the same.

In the third table, the y-differences are all -3.

The second table represents a non-linear function.

__

In the graph, you can see that the points from the second table (purple) are not on a straight line.

Answer:

B

Step-by-step explanation:

Answer:

Bottom prism: 126*11=1386    

Top Prism: 2*45=90

Total volume: 1386+90= 1746 cubic cm

Answer:

[tex]\frac{1}{4} x-2=10[/tex]

Step-by-step explanation:

Let x be that number.

[tex]\frac{1}{4} x-2=10[/tex]

If you want to find the number..

[tex]\frac{1}{4} x=10+2[/tex]

[tex]0.25x=12[/tex]

[tex]x=12/0.25[/tex]

[tex]x=48[/tex]

Answer:

  75% reduction

Step-by-step explanation:

The price dropped by $120. As a percentage of the original price, that is ...

  -$120/$160 × 100% = -75%

The price changed by -75%.

Answer:

75% decrease.

Step-by-step explanation:

The original price is $160 and we went to $40.

That means the price got reduced by $120 in the process.

$120/$160 = 0.75 = 75%.

So in other words, we lost 75% of the price ($120) and got left with 25% of the price ($40).

I hope this helps!

Answer:

a

Step-by-step explanation:

The difference between a rational number and an irrational number is always an irrational number. The correct option is B.

A Rational Number is a number of the form p/q, p & q are integers, and q ≠ 0.  An irrational number is all real numbers except rational numbers i.e. it is a non-repeating and non-terminating decimal number or it can not be expressed in a ratio of two integers.

Further, natural numbers can be rational numbers. Also, all repeating and terminating decimals are rational.

The difference between a rational number and an irrational number is always an irrational number. For example:

2 - √3 is always an irrational number where 2 is rational and √3 is an irrational number.

Hence addition and subtraction of rational and irrational numbers is always an irrational number.

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