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3 years ago

Help me please,Thanks

Mathematics

2 answers:

Lubov Fominskaja [6]3 years ago

6 0

I think the answer is 4 because you have to count all the numbers before the 3rd marking. Also count the actual 3rd marking.

Sedaia [141]3 years ago

3 0

I believe the answer would be 3 actually. The question asks how many gained "fewer" than 3 pounds. In math, there is inclusive and exclusive. Inclusive meaning that includes the number starting or ending number on the number line and exclusive meaning it does not include. Questions will always clearly state when an inclusive answer is required. Therefore the question would have asked "how many dogs gained 3 or fewer pounds." Since this is not the case the answer should exclude 3 and therefore be 3 dogs.

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I need help finding the solution

Ilya [14]

<h3>Answer: 226 degrees</h3>

=====================================================

Explanation:

Notice the tickmarks on the segments in the diagram. This tells us that chords DC and CB are the same distance from the center. It furthermore means that DC and CB are the same length, and arcs DC and CB are the same measure

arc DC = arc CB

12x+7 = 18x-23

12x-18x = -23-7

-6x = -30

x = -30/(-6)

x = 5

---------------------

Use this x value to find the measure of arcs DC and CB

arc DC = 12x+7 = 12*5+7 = 67
arc CB = 18x-23 = 18*5-23 = 67

We get the same measure for each, which helps confirm we have the correct x value.

The two arcs in question add to 67+67 = 134 degrees. This is the measure of arc DCB. Subtract this from 360 to get the answer

arc DAB = 360-(arc DCB) = 360-134 = 226 degrees

I'm using the idea that (arc DCB) + (arc DAB) = 360 since the two arcs form a full circle.

7 0

3 years ago

4 burgers cost $40 he needs 14 how much will 14 burgers cost

Naddika [18.5K]

Answer:

14 burgers cost 140.

Step-by-step explanation:

since 4 burgers cost 40 dollar you can assume each burger costs 10 but since he needs 14 you multiply 14 burgers times 10(the cost) and you get 140

6 0

3 years ago

Read 2 more answers

A random sample of 20 individuals who graduated from college five years ago were asked to report the total amount of debt (in $)

Gekata [30.6K]

Answer:

a. As college debt increases current investment decreases.

b. Y= 68778.2406 - 1.9112X

Every time the college debt increases one dollar, the estimated mean of the current investments decreases 1.9112 dollars.

c. There is a significant linear relationship between college debt and current investment because the P-value is less than 0.1.

d. Y= $59222.2406

e. R²= 0.9818

Step-by-step explanation:

Hello!

You have the information on a random sample of 20 individuals who graduated from college five years ago. The variables of interest are:

Y: Current investment of an individual that graduated from college 5 years ago.

X: Total debt of an individual when he graduated from college 5 years ago.

To see the relationship between the information about the debt and the investment is it best to make a scatterplot with the sample information.

As you can see in the scatterplot (attachment) there is a negative relationship between the current investment and the debt after college, this means that the greater the debt these individuals had, the less they are currently investing.

The statement that best describes it is: As college debt increases current investment decreases.

The population regression equation is Y= α + βX +Ei

To develope the regression equation you have to estimate alpha and beta:

a= Y[bar] -bX[bar]

a= 44248.55 - (-1.91)*12829.70

a= 68778.2406

b= $\frac{sumXY-\frac{(sumX)(sumY)}{n} }{sumX^2-\frac{(sumX)^2}{n} }$

b= $\frac{9014653088-\frac{(256594)(884971)}{20} }{4515520748-\frac{(256594)^2}{20} }$

b= -1.9112

∑X= 256594

∑X²= 4515520748

∑Y= 884971

∑Y²= 43710429303

∑XY= 9014653088

n= 20

Means:

Y[bar]= ∑Y/n= 884971/20= 44248.55

X[bar]= ∑X/n= 256594/20= 12829.70

The estimated regression equation is:

Y= 68778.2406 - 1.9112X

Every time the college debt increases one dollar, the estimated mean of the current investments decreases 1.9112 dollars.

The hypotheses to test if there is a linear regression between the two variables are two tailed:

H₀: β = 0

H₁: β ≠ 0

α: 0.01

To make this test you can use either a Student t or the Snedecor's F (ANOVA)

Using t=<u> b - β </u>=<u> -1.91 - 0 </u>= -31.83

Sb 0.06

The critical region and the p-value for this test are two tailed.

The p-value is: 0.0001

The p-value is less than the level of signification, the decision is to reject the null hypothesis.

Using the

$F= \frac{MSTr}{MSEr}= \frac{4472537017.96}{4400485.72} =1016.37$

The rejection region using the ANOVA is one-tailed to the right, and so is the p-value.

The p-value is: 0.0001

Using this approach, the decision is also to reject the null hypothesis.

The conclusion is that at a 1% significance level, there is a linear regression between the current investment and the college debt.

The correct statement is:

There is a significant linear relationship between college debt and current investment because the P-value is less than 0.1.

To predict what value will take Y to a given value of X you have to replace it in the estimated regression equation.

Y/X=$5000

Y= 68778.2406 - 1.9112*5000

Y= $59222.2406

The current investment of an individual that had a $5000 college debt is $59222.2406.

To estimate the proportion of variation of the dependent variable that is explained/ given by the independent variable you have to calculate the coefficient of determination R².

$R^2= \frac{b^2[sumX^2-\frac{(sumX)^2}{n} ]}{sumY^2-\frac{(sumY)^2}{n} }$

$R^2= \frac{-1.9112^2[4515520748-\frac{(256594)^2}{20} ]}{43710429303-\frac{(884971)^2}{20} }$

R²= 0.9818

This means that 98.18% of the variability of the current investments are explained by the college debt at graduation under the estimated regression model: Y= 68778.2406 - 1.9112X

I hope it helps!

5 0

3 years ago

(a). Consider the parabolic function f(x) = ax² +bx+c, where a ±0, b and care constants. For what values of a, band c is f

ki77a [65]

Information about concavity is contained in the second derivative of a function. Given f(x) = ax² + bx + c, we have

f'(x) = 2ax + b

and

f''(x) = 2a

Concavity changes at a function's inflection points, which can occur wherever the second derivative is zero or undefined. In this case, since a ≠ 0, the function's concavity is uniform over its entire domain.

(i) f is concave up when f'' > 0, which occurs when a > 0.

(ii) f is concave down when f'' < 0, and this is the case if a < 0.

In Mathematica, define f by entering

f[x_] := a*x^2 + b*x + c

Then solve for intervals over which the second derivative is positive or negative, respectively, using

Reduce[f''[x] > 0, x]

Reduce[f''[x] < 0, x]

5 0

3 years ago

Find the volume. 74yd 54yd 84yd 103yd

ahrayia [7]

The volume of the figure in the attachment is 84 cubic yards

<h3>What is the volume of a figure?</h3>

The volume of a figure or a three-dimensional shape is the amount of space inside the figure or the three-dimensional shape

<h3>How to determine the total volume?</h3>

The complete question is added as an attachment.

From the attached figure, we can see that the three-dimensional shape is a frustum

The volume is then calculated using the following formula

V = 1/2 * (Sum of the parallel bases) * height * side length

From the figure, we have:

Parallel bases = 2 yards and 6 yards

Height = 3.5 yards

Side length = 6 yards

Substitute the known values in the above equation

V = 1/2 * (2 + 6) * 3.5 * 6

Evaluate the product in the above equation

V = 1/2 * (2 + 6) * 21

Evaluate the sum in the above equation

V = 1/2 * 8 * 21

Evaluate the product in the above equation

V = 1/2 * 168

Evaluate the product in the above equation

V = 84

Hence, the volume of the figure in the attachment is 84 cubic yards