Examine the figure of two parallel lines cut by a transversal.


What is the value of x?

9514 1404 393

Answer:

Step-by-step explanation:

The diagonals of a rhombus are perpendicular bisectors of each other. If they are congruent, the rhombus is a square.

Your blanks can be filled with ...

We would like to point out that these descriptors also apply to a kite. The figure will only be a rhombus if the diagonals bisect each other (as for any parallelogram).

Answer:

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex] --- Demand

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex] --- Supply

Step-by-step explanation:

Given

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]

Required

Identify the demand and the supply equation.

To identify which is the demand equation and which is the supply equation, we simply look through the constraints of the equation.

For (1):

[tex]Corn = \alpha_1 *price + \beta_1 * income + \mu_1[/tex]

We have: Price and Income

For (2):

[tex]Corn = \alpha_2 *price + \beta_2 * rainfall + \gamma * rainfall_2 + \mu_2[/tex]

We have: Price and Rainfall

In (1), price and income determines the demand of a product.

Hence, (1) represents the demand equation

In (2), price and weather condition (rainfall) determines the supply of a product.

Hence, (2) represents the supply equation.

Answer:

P = 10π + 30 ≈ 61.4

Step-by-step explanation:

Perimeter = s1 + s2 + s3 + s4

= πd/2 + 15 + πd/2 + 15 = 2 (5π + 15) = 10π + 30 ≈ 61.4

Answer:

585856859686

Step-by-step explanation:

546786676

Answer:

No they do not

Step-by-step explanation:

16 is positive -16 is negative they have different values. Hope this helps!

Answer:

10.15

Step-by-step explanation:

I divided the worth of clothe and the tax

Answer: b 5 calories per minute

Step-by-step explanation: you can see that the graph starts at 0 and at the one at the bottom it goes to 5 and then 10 for 2 minutes and so on

Answer:

Hi! The answer to your question is Relation

Step-by-step explanation:

To be a function the x values can't repeat, since they do, its a relation

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Hope this helps!!

- Brooklynn Deka

Answer:

729

Step-by-step explanation:

We have the equation [tex](3^2)^3[/tex] and are asked to simplify it.

When you have a number with an exponent inside the parenthesis, and then another exponent right out of the parenthesis, you follow the rule where you multiply both exponents together.

Therefore,

[tex](3^2)^3=3^{2*3} =3^6[/tex]

[tex]3^6 = 729[/tex]

Answer:45

Step-by-step explanation:

The value of x by the given data is 190/3 or 63.33

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

The angles between the lines

Now,

To find the value of x, you need to use the fact that the sum of angles in a triangle is equal to 180°1. This means that:

30° + (3x)° + (-40)° = 180°

Simplifying, we get:

(3x)° - 10° = 180°

Adding 10° to both sides, we get:

(3x)° = 190°

Dividing both sides by 3, we get:

x = 190/3

Therefore, by algebra the answer will be 190/3 or 63.33.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ7

Answer:

2/4 which simplifies to 1/2

which angle you flip it and how much force you use

Answer:

The firm's fixed-charge coverage ratio is 7.89 times

Explanation:

Fixed charge coverage ratio : This ratio deals with fixed payments like: interest payments, lease payments which is before earning before income and taxes.

The formula to compute the fixed charge coverage ratio is shown below:

= (EBIT + Fixed charges) ÷ (Fixed charges + interest expense)

= ($400,000 + $50,000) ÷ ($50,000 + $7,000)

= $450,000 ÷ $57,000

= 7.89 times

The total of fixed charge include depreciation expense also. Thus it would not be taken into computation part.

Hence, the firm's fixed-charge coverage ratio is 7.89 times

Answer:

[tex]y=-\frac{2}{3}x+6[/tex]

Step-by-step explanation:

Let the equation of the line representing the given table is,

y = mx + b

Here, m = slope of the line

b = y-intercept

From the given table,

Since, slope of the line passing through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Therefore, slope of the line passing through (3, 4) and (4, [tex]\frac{10}{3}[/tex]) will be,

m = [tex]\frac{4-\frac{10}{3} }{3-4}[/tex]

   = [tex]\frac{\frac{12-10}{3}}{3-4}[/tex]

   = [tex]-\frac{2}{3}[/tex]

Therefore, equation of the line will be,

[tex]y=-\frac{2}{3}x+b[/tex]

Since, this line passes through a point [tex](1, \frac{16}{3})[/tex],

By satisfying the equation with the given point,

[tex]\frac{16}{3}=-\frac{2}{3}(1)+b[/tex]

[tex]b=\frac{16}{3}+\frac{2}{3}[/tex]

[tex]b=\frac{18}{3}[/tex]

[tex]b=6[/tex]

Therefore, equation of the line will be,

[tex]y=-\frac{2}{3}x+6[/tex]

Answer:

C) The confidence interval is not biased.

Step-by-step explanation:

When a relationship between two variables is observed the confidence interval should not be biased. If the confidence interval is found to be biased then the observed results will be reliable and accurate. Regression analysis of  heart rate and maximal oxygen uptake is analyzed and the correlation will not be equal to zero. This means there will be some correlation between the two variables.

The necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

Explanatory variables are also called independent variables and they explain variations in the response variables. They are not dependent on any directly considered variable in the considered situation.

The response variables are also called dependent variables and their values depend on the values of the explanatory variables.

For this case, it is considered that:

It is not specified that regression is linear but specified that there is regression analysis was conducted. Regression is useful only if there is any correlation between two variables.

Thus, the most important condition that must be checked is:

Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

(because 0 correlation shows that variables are independent, so no influence of explanatory variable on response variable and they are independently taking up their values compared to each other).

Thus, the necessary condition that must be checked is: Option B) The correlation between heart rate and maximal oxygen uptake is not equal to zero

Learn more about correlation here:

https://brainly.com/question/10725272

Answer:

A

Step-by-step explanation:

If you get that right, follow Sammy Revv on Spotify please

Answer:

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

Step-by-step explanation:

Let

x = $0.85 per pound

y = $2.70 per pound

x + y = 21 (1)

0.85x + 2.70y = 19.95 (2)

From (1)

x = 21 - y

Substitute x = 21 - y into (2)

0.85x + 2.70y = 19.95 (2)

0.85(21 - y) + 2.70y = 19.95

17.85 - 0.85y + 2.70y = 19.95

- 0.85y + 2.70y = 19.95 - 17.85

1.85y = 2.1

y = 2.1 / 1.85

y = 1.14

Substitute y = 1.14 into (2)

0.85x + 2.70y = 19.95

0.85x + 2.70(1.14) = 19.95

0.85x + 3.078 = 19.95

0.85x = 19.95 - 3.078

0.85x = 16.872

x = 16.872 / 0.85

x = 19.85

x = $0.85 per pound = 19.85 pounds

y = $2.70 per pound = 1.14 pounds

Answer:

0.1562 = 15.62% probability that a person who tests positive actually has the disease.

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

Event A: Tests positive

Event B: Has the disease.

Probability of a positive test:

100 - 8 = 92% of 0.6%(person has the disease).

3% of 100 - 0.6% = 99.40%(person does not have the disease). So

[tex]P(A) = 0.92*0.006 + 0.03*0.994 = 0.03534[/tex]

Probability of testing positive and having the disease:

92% of 0.6%. So

[tex]P(A \cap B) = 0.92*0.006 = 0.00552[/tex]

Probability that a person who tests positive actually has the disease.

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.00552}{0.03534} = 0.1562[/tex]

0.1562 = 15.62% probability that a person who tests positive actually has the disease.

Answer:

250 ml of the 75% mixture are needed to obtain the desired solution.

Step-by-step explanation:

Since I need a 70% alcohol solution, and on hand, I have a 40 mL of a 35% alcohol mixture, and I also have 75% alcohol mixture, to determine how much of the 75% mixture will you need to add to obtain the desired solution, the following calculation must be performed:

100 x 0.75 + 0 x 0.35 = 75

90 x 0.75 + 10 x 0.35 = 71

89 x 0.75 + 11 x 0.35 = 70.6

87.5 x 0.75 + 12.5 x 0.35 = 70

12.5 = 40

87.5 = X

87.5 x 40 / 12.5 = X

3,500 / 12.5 = X

280 = X

Therefore, 250 ml of the 75% mixture are needed to obtain the desired solution.

Answer:

No solution

Step-by-step explanation:

-y = -1

-51 - 3y = -15

-3y = -15 + 51

-3y = 36

y = -12

y = 1

y = -12

No solution

Answer:

The real answer is 1 hour and 8 minutes

Step-by-step explanation:

You add all the percentages you have then you get 80% so you mince that by a hundred witch is 20% so now you need to find out what is 20% of 9 wich is 1.8 making the answer 1 hour and 8 miutes c:

Answer:

C. Not symmetric; not bell-shaped.

Step-by-step explanation:

In a symmetric data distribution, the shape on the left side is almost the same as the shape on the right side of the middle. In this type of data distribution, if different measure of centers are calculated (mean, median, and mode), they will have a similar figures that are close together. Symmetric distributions are bell-shaped.

On the other hand, if the data distribution is not symetric, it means the left and the right side of the distribution are not equal and do not have the same shape.

The data in the dot plot above is considered as NOT SYMMETRIC. Also, it is not bell-shaped.

Answer:

c

Step-by-step explanation:

Answer:

The median of the following numbers is 14

Step-by-step explanation:

Answer:

28/11hr or about three hr

Step-by-step explanation

1/4+1/7=11/28

or 28/11 hr

Answer:

2 hours and 32.7 minutes. This is a good problem to become familiar with. It comes up in physics quite frequently.

Step-by-step explanation:

1 job/4 hours + 1 job / 7 hours = 1/x

1/4 + 1/7 = 1/x

(7 + 4)/28 = 1/x

11/28 = 1/x

x / 1 = 28/11

x = 2.54 hours repeating.

1 hour = 60 minutes

0.54 hours = x minutes

1/.54 = 60/x

x = 0.54 * 60

x = 32.7 minutes

Answer:

24,899

Step-by-step explanation:

Answer:

the answer for the question is 1.5

Answer:

Surface area of triangular pyramid = 48 inch²

Step-by-step explanation:

Given:

Base length of triangle = 6 inches

Height of triangle = 4 inches

Find:

Surface area of triangular pyramid

Computation:

Surface area of triangular pyramid = 4 x [Surface area of triangle]

Surface area of triangular pyramid = 4 x [(1/2)(b)(h)

Surface area of triangular pyramid = 4 x [(1/2)(6)(4)

Surface area of triangular pyramid = 4 x [(1/2)(24)]

Surface area of triangular pyramid = 4 x 12

Surface area of triangular pyramid = 48 inch²

Answer:

15 cubic units

Step-by-step explanation:

Use multiplication (V = l x w x h) to find the volume of a solid figure.

3*5=15

Answer:

2197 cm³

Step-by-step explanation:

surface area of cuboid = 2 * (5*9 + 33*9 + 33*5) = 1014

surface area of cube = 6 * x²   .... x: side length of cube

6x² = 1014

x² = 169

x = 13

volume of cube = x³ = 13³ = 2197 cm³

Step-by-step explanation:

a. The random variable is a binomial distribution.

b. the sample space, X = {0, 1, 2, 3, 4, 5}

the pmf

we solve for this using

nCx * P^x * (1-p)^n-x

n = 5

p = 0.3

for x = 0

5C0 * 0.3⁰(1-0.3)^5-0

= 1 * 1* 0.7⁵

= 0.16807

for x = 1

5C1*0.3¹(1-0.3)^5-1

= 5*0.3(0.7)⁴

= 5x0.3x0.2401

= 0.36015

for x = 2

5C2 * 0.3² * (1-0.3) ^5-2

= 0.30870

for x = 3

5C3 * 0.3³ * (1-0.3) ^ 5-3

= 10 * 0.027 * 0.7²

= 0.1323

for x = 4

5C4 * 0.3⁴ (1-0.3) ^ 5-4

= 5 * 0.0081 * 0.7

= 0.02835

for x = 5

5C5 *0.3⁵ (1- 0.3) ^5-5

= 1*0.00243*0,7⁰

= 0.00243

c. E[X] = N*p = 5*0.3 = 1.5

var[X] = np(1-p) = 5*0.3*0.7 = 1.05

d. 20/9 = 2.222

so we have that if x is greater than or equal to 3, cost will exceed 20

p(x=3) + p(x=4) + p(x=5)

= 0.1323 + 0.02835 + 0.00243

probability = 0.16308

E[C] = 1.5 * 9 = 13.5

VAR[C] = 1.05 * 9 = 9.45