represents the
Which equation best
relationship between x and y shown in
the table?

Answer:

-8/45

Step-by-step explanation:

4/5 * -2/9

Multiply the numerators

4*-2 = -8

Multiply the denominators

5*9 = 45

numerator over denominator

-8/45

Answer:

The equation of the least square regression line for predicting selling price from appraised value is:

[tex]\text{Selling Price}=227.0989 + 0.8991\ \text{Appraised Value}[/tex]

Step-by-step explanation:

The general form of the  least square regression line is:

[tex]y=a+bx[/tex]

Here,

y = dependent variable

x = independent variable

a = y-intercept

b = slope

The Minitab output for regressing selling price on appraised value is:

Predictor          Coef       SE Coef       T

Constant      227.0989    95.044    2.389

Appraisal          0.8991       0.133     6.76

S = 88.7959

R-Sq = 76.5%

R-Sq (adj) = 74.9%

The constant term in the regression output represents the y-intercept and the Appraisal coefficient the slope of the regression line.

Then the equation of the least square regression line for predicting selling price from appraised value is:

[tex]\text{Selling Price}=227.0989 + 0.8991\ \text{Appraised Value}[/tex]

The volume of the cone-shaped pile of sawdust is, 4752 cubic feet.

A cone is a three-dimensional geometric structure with a smooth transition from a flat, usually circular base to the apex or vertex, a point that creates an axis to the base's center.

Given that,

Diameter of cone 2r = 36 feet,

Height of cone h = 14 feet.

Since, diameter 2r = 36 ⇒ r = 18 feet

The volume of the cone V = 1/3×π×r²×h

V = 1/3×22/7×18×18×14

   = 4752 cubic feet

The volume of the cone-shaped pile is, 4752 cubic feet.

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Answer:

graph moves down 6 units​

Step-by-step explanation:

Y intercept of a line is point on y axis where the line crosses the y-axis.

Since the line is of the slope intercept form y = mx+ c

where m is slope of line and c is y intercept

_________________________________________________

Equation of old line : y = 4x + 3

then for equation y = 4x + 3

m: 4 and c = 3

Thus y intercept is +3 unit above the X axis

_________________________________________________

Equation of new line : y = 4x - 3

Similarly based on above explanation

m: 4 and c = -3

Thus y intercept is +3 unit below the X axis.

Thus we can see that y intercept has moved downward

Lets calculate no. of units it moved downward

Distance between them is 3 - (-3) = 6 unit

Thus graph moved 6 units downwards.

Steepness of graph depends on slope of line. The slope is 4 for both the lines and hence there is no change in steepness.

Thus correct answer is graph moves down 6 units​

Answer:

Its a) 15

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The average can be found by dividing the number of pieces (or trucks in this case) by the total, so 3204/8=400.5 pounds, or D as our answer

Answer:

(x^2)/2

Step-by-step explanation:

If the diagonal is x, then the side length is sqrt(x^2/2)

That makes the area (x^2)/2

Answer:

c is wrong thats what i had picked

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean weight loss yield of the powder diet and μ2 be the mean weight loss yield of the liquid diet.

The random variable is μ1 - μ2 = difference in the mean weight loss yield of the powder diet and the mean weight loss yield of the liquid diet.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This us a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(μ1 - μ2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 42

μ2 = 45

s1 = 12

s2 = 14

n1 = 49

n2 = 36

t = (42 - 45)/√(12²/49 + 14²/36)

t = - 1.04

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [12²/49 + 14²/36]²/[(1/49 - 1)(12²/49)² + (1/36 - 1)(14²/36)²] = 70.28/1.03

df = 68

We would determine the probability value from the t test calculator. It becomes

p value = 0.15

Assuming a significance level of 0.05, then

Since alpha, 0.05 < than the p value, 0.15, then we would fail to reject the null hypothesis. Therefore, we can conclude that at a 5% significance level, the liquid diet does not yield a higher mean weight loss than the powder diet.

Complete Question

The complete question is shown on the first uploaded image

Answer:

First Question

Option A is correct

Second  Question

Option C is correct

Third   Question

     [tex]D = A^{-1} * B^{-1} * C^{-1}[/tex]

Fourth   Question

  So substituting for D in  (ABC) D =  I

                 [tex](ABC) * A^{-1} * B^{-1} * C^{-1} = I[/tex]

                 [tex]I = I[/tex]

This proof that  ABC is invertible

Step-by-step explanation:

From the question we are told that

   A , B and  C are invertible which means that [tex]A^{-1} , B^{-1}, C^{-1}[/tex] exist

Now

 From the question

          (ABC) D =  I

Where I is an identity matrix

   Now when we multiply both sides by  [tex]A^{-1}[/tex]  we have

          [tex]A^{-1} A BCD = A^{-1} * I[/tex]

          [tex]IBCD = A^{-1}[/tex]

Now when we multiply both sides by  [tex]B^{-1}[/tex]  we have  

         [tex]B^{-1 } *I BCD = A^{-1} * B^{-1}[/tex]

         [tex]I CD = A^{-1} * B^{-1}[/tex]

Now when we multiply both sides by  [tex]C^{-1}[/tex]  we have  

          [tex]C^{-1} * I CD = A^{-1} * B^{-1} * C^{-1}[/tex]

              [tex]I D = A^{-1} * B^{-1} * C^{-1}[/tex]

                 [tex]D = A^{-1} * B^{-1} * C^{-1}[/tex]

So substituting for D in the above equation

                 [tex](ABC) * A^{-1} * B^{-1} * C^{-1} = I[/tex]

                 [tex]I = I[/tex]

This proof that  ABC is invertible

Answer:

A. The alternative hypothesis is less than.91/Do not reject the null

Null hypothesis: H0 = 0.91

Alternative hypothesis: Ha < 0.91

z = -1.24

P value = P(Z<-1.24) = 0.11

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 95% confidence interval) ---- reject Null hypothesis

Z score < Z(at 95% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

Given;

n=200 represent the random sample taken

Null hypothesis: H0 = 0.91

Alternative hypothesis: Ha < 0.91

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 200

po = Null hypothesized value = 0.91

p^ = Observed proportion = 177/200 = 0.885

Substituting the values we have

z = (0.885-0.91)/√(0.91(1-0.91)/200)

z = −1.23541552776

z = -1.24

To determine the p value (test statistic) at 0.05 significance level, using a one tailed hypothesis.

P value = P(Z<-1.24) = 0.107488 = 0.11

Since z at 0.05 significance level is between -1.96 and +1.96 and the z score for the test (z = -1.24) which falls with the region bounded by Z at 0.05 significance level. And also the one-tailed hypothesis P-value is 0.11 which is higher than 0.05. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 5% significance level the null hypothesis is valid, therefore do not reject null.

Answer:

When all side faces are same

surface area = lw + 1/2 × perimeter × slant height.

When the side faces are different

surface area = base area + lateral area

Step-by-step explanation:

The question you ask is the formula one can use to calculate the surface area of a rectangular pyramid.

The  base of a rectangular pyramid is rectangular. The picture below shows how a rectangular pyramid looks like .

The surface area of the rectangular pyramid includes the area of the base and areas of all the triangular faces. This simply implies the area of the rectangular base and the area of each triangular faces. Mathematically, it can be represented below.

The base area(rectangle) = length × width = lw

Area of a triangle = 1/2 × base × height = 1/2bh

Therefore, if all the faces of the triangle are the same(regular pyramid) the total surface area will be

surface area = lw + 1/2 × perimeter × slant height.

Note the triangular faces are 4 in numbers.  

If all the sides of the triangle are different the surface are will be

surface area = base area + lateral area

We have to add the triangular faces individually for an irregular pyramid.

ksnfntntneoeodj because it definitely would not be stating the expression h + 7 so any jumble of words could be your answer

Answer:

Step-by-step explanation:

Answer:

a) Range =10

b) inter quartile range = 4.5

Step-by-step explanation:

Explanation:-

Given minimum =5

             Median=8

 upper quartile  (Q3) =11.5

Lower quartile range= 7

                Maximum=15

a)  Range = maximum value -minimum value

           = 15 -5

          = 10

b) Interquartile Range = median of upper half - median of lower half

                               =   Q₃- Q₁

                               =   11.5 - 7

                               =   4.5    

Answer:

A

150 pi cubic units

Step-by-step explanation:

Answer:

Substituting the values r = 5 and h = 18 in the formula V=1/3×π⁢r^2⁢h, you get V=1/3×π×52×18 = 150π cubic units.

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

[tex]\dfrac{13+11}{13-11}=\dfrac{24}{2}=12[/tex]

Hope this helps!

Answer:

I can't really see the whole question, but for a cone the volume formula is πr2h

3

Step-by-step explanation:

Answer:

[tex]h=\frac{P}{mg}[/tex]

Step-by-step explanation:

If you divide both sides of this equation by mg, you are left with [tex]h=\frac{P}{mg}[/tex], which is the equivalent solution solved for h. Hope this helps!

Answer:

it's B

Step-by-step explanation:

Answer:

a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits

b)

The Standard error of the mean is 0.2328

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 49

The Expected value of the mean of 49 randomly selected students

μₓ = μ =7.06 digits  

b)

The Standard error of the mean determined by

[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]

Given sample size 'n' = 49

The Standard deviation 'σ' = 1.63 digits

The Standard error

[tex]S.E = \frac{S.D}{\sqrt{n} }[/tex]

[tex]S.E = \frac{1.63}{\sqrt{49} } = 0.2328[/tex]

Final answer:-

a) The expected value of the mean of the 49 randomly selected students, M, is 7.06 digits

b) The Standard error of the mean is 0.2328

Answer:

60(3), 12(15), 15(3)(4)

Step-by-step explanation:

volume of a rectangular prism is the product of all sides which is 15*3*4. 60(3), 12(15), 15(3)(4) are the only ones equal to that.

Answer:

D,E,F

Step-by-step explanation:

Answer:

48 miles

Step-by-step explanation:

What we must do is calculate the car's performance, that is, the number of miles per gallon of gas, like this:

208/13 = 16

which means that for each gallon of gas you can travel a total of 16 miles.

They tell us they have 3 gallons of gasoline left so they can go:

16 * 3 = 48

If your goal is 42 miles away, that means you can make it and you still have 6 more miles to go.

Answer:

[tex]P(4)=7\,,\,P(-9)=-5[/tex]

Step-by-step explanation:

Given:  P(x) has a remainder 1 when divided by  [tex]x-9[/tex], P(x) has a remainder 7 when divided by [tex]x-4[/tex], P(x) has a remainder 0 when divided by  [tex]x+4[/tex] and P(x) has a remainder -5 when divided by [tex]x+9[/tex]

To find: [tex]P(4),P(-9)[/tex]

Solution:

According to remainder theorem, when a polynomial [tex]P(x)[/tex] is divided by a polynomial [tex]x-a[/tex], the remainder obtained is equal to [tex]P(a)[/tex].

As P(x) has a remainder 7 when divided by [tex]x-4[/tex],

[tex]P(4)=7[/tex]

As P(x) has a remainder -5 when divided by [tex]x+9[/tex],

[tex]P(-9)=-5[/tex]

Answer:

Answer is (b) The worker with 40 hours of training is paid $1400 per month

Answer:

1000miles

Step-by-step explanation:

A men travel 585 km on fourth day.

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

A man travelled 450 km on the first day and 565,000 m on the second day, the third day he travel double the distance you travel on the first day.

Here, On the fourth day he reached his destination which was 2500km from his starting point.

Let the distance he travel on the fourth day = x

So, We can formulate;

⇒ 450 km + 565,000 m + 2 × 450 km + x = 2500 km

⇒ 450 km + 565 km + 900 km + x = 2500 km

⇒ 1915 km + x = 2500 km

⇒ x = 2500 - 1915

⇒ x = 585 km

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Answer:

15 times 32 times 6 is 2880

16 times 6 times 2 is 192

2880 plus 192 is 3074

D) 3074

Answer:

1260cm^2

Step-by-step explanation:

15 times 12 = 180

180 times 7 = 1260

Answer:

Mean= 10

Step-by-step explanation:

Mean= Total value of data/Number of datas given

         =3+2+26+9/4

         =40/4

         =10

Mean= 10