HELPPP PLEASEEEEE asappppppp

The probability of getting two science majors in a random survey of students is 840/8362 or approximately 0.1004. This probability was calculated using the multiplication rule of probability and assuming that each student selection is independent of the other.

The total number of students surveyed is 32 + 24 + 21 + 15 = 92. Therefore, the probability of selecting a science major on the first pick is 21/92. Since we are selecting two students, the probability of selecting another science major on the second pick is now 20/91. Therefore, the probability of getting two science majors is the product of these probabilities, which is (21/92) * (20/91) = 840/8362 or approximately 0.1004.
To answer the question in more than 100 words, it's important to understand the concept of probability. Probability is the measure of the likelihood of an event occurring. It ranges from 0 (impossible) to 1 (certain). In this scenario, we are trying to find the probability of selecting two science majors out of the total population of students surveyed.
We can calculate this probability by using the multiplication rule of probability. The multiplication rule states that the probability of two independent events occurring together is the product of their individual probabilities. In this case, we assume that the selection of each student is independent of the other.
We first calculate the probability of selecting a science major on the first pick. This is done by dividing the number of science majors (21) by the total number of students surveyed (92). Therefore, the probability of selecting a science major on the first pick is 21/92.
We then calculate the probability of selecting another science major on the second pick. Since we have already selected one science major, the probability of selecting another science major is now 20/91.
Finally, we multiply the probabilities of the two events to get the probability of both events occurring together. The result is 840/8362 or approximately 0.1004.
In summary, the probability of getting two science majors in a random survey of students is 840/8362 or approximately 0.1004. This probability was calculated using the multiplication rule of probability and assuming that each student selection is independent of the other.

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the probability that the Diamondbacks lost and did not give away free tacos is  41/81

It is based on the possible chances of something to happen. The theoretical probability is mainly based on the reasoning behind probability. For example, if a coin is tossed, the theoretical probability of getting a head will be ½. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.

Probability is the likelihood that something will happen. Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability determines the likelihood of an event occurring: P(A) = f / N. Odds and probability are related but odds depend on the probability. You first need probability before determining the odds of an event occurring.

P(D wins back)= P(D wins tacos)

=41/81

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Area of the scale drawing is 10 square inches. Area of the actual deck would be 160 square feet.

Area of the actual deck would be 16 times the area of the scale drawing.

Area of a two dimensional shape is the total region which is bounded by the object's shape.

Given scale drawing can be made into two squares.

One with a side length of 1 inch and other with side length of 3 inches.

Area of a square with side length 'a' = a²

Area of the given scale drawing = (1 inch)² + (3 inches)²

                                                     = 1 inch² + 9 inches²

                                                     = 10 inches²

If the scale is 1 inch = 4 feet,

Area of the actual deck = (1 × 4 feet)² + (3 × 4 feet)²

                                       = 4² [(1 feet)² + (3 feet)²]

                                       = 4² (10)

                                       = 160 feet²

Area of the actual deck = 160 feet²

                                        = 16 (Area of the scale drawing)

If the scale is 1 inch = k feet,

Area of the actual deck = k² ( Area of scale drawing)

                                        = 10 k² square feet

Hence the area of the actual deck would be 10k² if the scale is 1 inch = k feet.

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Answer:

I am sure it's $8

Step by step explanation:

Total money spent= $82

Cost of dictionary= $26

Cost of 7 novels = $82 - $26

= $56

Cost of 1 novel = $56/7

= $8

Therefore, each novel bought by Esme cost $8

Hope it helps ;)

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False. If E and F are independent events, then Pr(E|F) is not necessarily equal to Pr(E).

The probability of an event E given event F, denoted as Pr(E|F), represents the probability of event E occurring given that event F has already occurred. In the case of independent events, the occurrence of one event does not affect the probability of the other event occurring.

By definition, two events E and F are independent if and only if Pr(E ∩ F) = Pr(E) × Pr(F), where Pr(E ∩ F) represents the probability of both events E and F occurring.

Now, let's consider the statement that Pr(E|F) = Pr(E) when E and F are independent events. This implies that the probability of event E occurring given that event F has occurred is the same as the probability of event E occurring without any knowledge of event F.

However, this is not necessarily true. The conditional probability Pr(E|F) takes into account the occurrence of event F, which may affect the probability of event E. Even if events E and F are independent, the value of Pr(E|F) may differ from Pr(E) if the occurrence of event F provides additional information or changes the probability distribution of event E.

The statement "Pr(E|F) = Pr(E)" when E and F are independent events is false. While independence between events E and F ensures that the occurrence of one event does not affect the probability of the other event, it does not guarantee that the conditional probability Pr(E|F) will be equal to the unconditional probability Pr(E).

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Answer:

\(120^{0}\)

Step-by-step explanation:

Given: pentagon (5 sided polygon), two interior angles = \(90^{0}\) each, other three interior angles are congruent.

Sum of angles in a polygon = (n - 2) × \(180^{0}\)

where n is the number of sides of the polygon.

For a pentagon, n = 5, so that;

Sum of angles in a pentagon = (5 - 2) × \(180^{0}\)

                                                = 3  × \(180^{0}\)

                                                = \(540^{0}\)

Sum of angles in a pentagon is \(540^{0}\).

Since two interior angles are right angle, the measure of one of its three congruent interior angles can be determined by;

\(540^{0}\) - (2 × \(90^{0}\))  = \(540^{0}\) - \(180^{0}\)

                       = \(360^{0}\)

So that;

the measure of the interior angle = \(\frac{360^{0} }{3}\)

                                                        = \(120^{0}\)

The measure of one of its three congruent interior angles is \(120^{0}\).

Answer:

A

Step-by-step explanation:

d1 = 5.9 km

d2 = 4.9 km

d_av = (5.9 + 4.9)/2 = 10.8/2 = 5.4 km I think that's A

Step-by-step explanation:

please mark me as brainlist please

Answer:

please consider brainliest

Answer:

42

Step-by-step explanation:

3 is equal to 42 degrees because when you have two parallel lines that have another line pass through both parallel lines the values of degrees are the same as the opposite side so:

42 = 3

2 = 4

and another way you could find the value of 3 is since there is a perpendicular line going through line p we know that since it is perpendicular that the angle between them is 90 so angle 3 is:

90 - (angle 4) = angle 3

You may use this method if you first solved for angle 4 or angle 2 and we can get angle 2 from:

180 - 42 = 138

we can do this because 42 + angle two should be 180 degrees since they are along line n.

Answer:

5 and 6 is your answer

Answer:

6 and 5

Step-by-step explanation:

6*5=30

6+5=11

From the equation of the circle, the radius of the circle is 3 and the center lies at (1, 0)

A circle is a closed curve that is drawn from the fixed point called the center, in which all the points on the curve are having the same distance from the center point of the center. The equation of a circle with (h, k) center and r radius is given by:

(x-h)^2 + (y-k)^2 = r^2

This is the standard form of the equation. Thus, if we know the coordinates of the center of the circle and its radius as well, we can easily find its equation.

In this problem, we have an equation x^2 + y^2 - 2x - 8 == 0

The radius of this circle is 3 and the center is at (1, 0).

The correct option are A and C

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Answer:

v = 42

omg i hope this helps!!

Answer:

perseveration

Step-by-step explanation:

The term you are looking for is "perseveration."

Answer:

Step-by-step explanation:here is a example:Recall that the volume of a regular prism is given by the area of the base times the height.

Given that the base of the prism is a regular pentagon with an apothem of 2.8 centimeters.

The pentagon consist of 5 isosceles triangles with the apothem as the height and the side of the pentagon as the base.

Recall that the are of a triangle is given by 1/2 base times height.

Thus the area of of the pentagon base of the prism is given by

Therefore, the volume of the prism is given by volume=7x(2x+1)=14x2+7x

Answer:

4

Step-by-step explanation:

4^2 is 4x4 aka squared

The survival rates among passengers in other classes, cannot definitively determine whether survival and ticket class are independent.

No, because the probability of survival and the probability of survival given a first-class passenger are not the same. C

To determine whether survival and ticket class are independent, to compare the probability of survival among all passengers to the probability of survival among first-class passengers.

The probability of survival is the same for all passengers, regardless of their ticket class, then we can conclude that survival and ticket class are independent.

The probability of survival varies depending on the ticket class, then we cannot conclude that they are independent.

The probability of survival among all passengers is 0.268.

The probability of survival among first-class passengers is also 0.268. This does not necessarily mean that survival and ticket class are independent.

To determine whether they are independent, we need to compare the probability of survival among all other ticket classes as well.

If the probability of survival is the same across all ticket classes, then we can conclude that survival and ticket class are independent.

The probability of survival varies across different ticket classes, then we cannot conclude that they are independent.

The survival rates among passengers in other classes, cannot definitively determine whether survival and ticket class are independent.

The fact that the survival rate among first-class passengers is the same as the overall survival rate does not prove independence.

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Step-by-step explanation:

-2(8m+6)

this expands to -16m-12

False, an industry standard is to randomly select 10% of the completed surveys for purposes of making a call-back to validate that the interview was conducted.

What are industries standards?

A collection of standards within an industry referring to how activities are typically carried out in their respective domains of production.

                  In other words, it refers to the standards that are commonly accepted by an industry's participants.

Why is this industry norm?

Industry standards are primarily intended to make products compatible with one another and to ensure that consumers can mix and match products from various brands without risk.

                             Best Industry Standards refers to benchmarks that, taking into account elements like the nature and size of the parties, are in the upper quartile in the relevant industry for the delivery of comparable services that are essentially similar to the Services or the relevant part of them.

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Answer:

1. Animals.

2. Plants.

3. Fungi

4. Protists.

5. Monerans.

6. Kingdom.

7. Botany.

8. Reproductive parts.

9. Vegetative parts.  

10. Epidermis.

Step-by-step explanation:

1. Insects, birds: Animals. All insects and birds are living organisms generally referred to as animals.

2. Moss, trees: Plants. Moss and trees are living organisms generally referred to as plants.

3. Yeast, molds: Fungi. They belong to a kingdom of multi-cellular eukaryotic organisms which can't make or produce their own food (heterotrophs).

4. Protozoa, red algae: Protists. They belong to a kingdom of single-celled (unicellular) eukaryotic microscopic organisms.

5. Bacteria, blue-green algae: Monerans. They belong to a kingdom of single-celled (unicellular) prokaryotic organisms without a nuclear cell membrane.

6. Five main groups of all living things: Kingdom. These are namely Kingdom Animalia, Kingdom Fungi, Kingdom Plantae, Kingdom Monera and Kingdom Protista

7. The study of plants: Botany.

8. Flowers, fruits, and seeds: Reproductive parts.

9. Roots, stems, and leaves: Vegetative parts.

10. Provides plant cover on leaves and roots: Epidermis.

Area of triangle

Arew of rectangle

Area of semicircle

r=10/2=5ff

Total area

Answer:

209.25  ft²

Step-by-step explanation:

The figure is made up of a triangle, a rectangle and a semicircle.

Area of a triangle = 1/2 x base x height

                              = 1/2 x 6 x 10

                              = 30 ft²

Area of a rectangle = width x length

                                 = 10 x 14

                                 = 140 ft²

Area of a semicircle = 1/2 π r²

                                  = 1/2 x 3.14 x 5²

                                  = 1/2 x 3.14 x 25

                                  = 39.25 ft²

Total area = triangle + rectangle + semicircle

                  = 30 + 140 + 39.25

                  = 209.25  ft²

Answer:

y = \(-\frac{2}{3} x\) - \(\frac{1}{3}\)

Step-by-step explanation:

The line (l1) passes through (-2, 1) and is perpendicular to the line whose equation is;

3x - 2y = 5

Converting this equation to slope intercept form gives;

2y = 3x - 5

y = 1.5x - 2.5

Let the slope of the perpendicular line (l2) be m(PERP).

The product of slopes of two perpendicular lines is -1

The slope of our first line (l1) = 1.5

So 1.5 × m(PERP) = -1

m(PERP) = -1 ÷ 1.5 = \(-\frac{2}{3}\)

Taking another point (x,y) on line (l2);

\(\frac{y - 1}{x + 2} = -\frac{2}{3}\)

Cross multiplying this gives;

y = \(-\frac{2}{3} x\) - \(\frac{1}{3}\)

which is the equation of our second line (l2).

The answers that describe the quadrilateral DEFG area rectangle and parallelogram.

The correct answer choice is option A and B.

A quadrilateral is a parallelogram, which has opposite sides that are congruent and parallel.

Quadrilateral DEFG

if line DE || FG,

line EF // GD,

DF = EG and

diagonals DF and EG are perpendicular,

then, the quadrilateral is a parallelogram

Hence, the quadrilateral DEFG is a rectangle and parallelogram.

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We can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

A 95% confidence interval for the population mean can be constructed using the t-distribution when the sample size is small (<30) or the population standard deviation is unknown.

In this case, we have a random sample of 46 people with a mean body mass index (BMI) of 27.2 and a standard deviation of 6.0.

Thus, we need to use the t-distribution to construct the confidence interval.

The formula for the confidence interval is as follows:

Upper limit of the confidence interval:27.2 + (2.013) (6.0/√46) = 29.032Lower limit of the confidence interval:27.2 - (2.013) (6.0/√46) = 25.368

Therefore, the 95% confidence interval for the population mean BMI is (25.368, 29.032).

This means that we can be 95% confident that the true population mean BMI is between 25.368 and 29.032.

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The area of the rectangle is 55x² + 4x - 12. Option D

The formula for calculating the area of a rectangle is expressed as;

A = lw

Given  that the parameters are given as;

For rectangle 1;

Area = 5x(7x - 2)

expand the bracket

Area = 35x²- 10x

For rectangle 2:

Area = 15x - 6(6x + 2)

expand the bracket

Area = 90x² - 30x + 36x - 12

Area = 90x² + 6x - 12

subtract the values

Area = 90x² + 6x - 12 - (35x²- 10x)

Area = 55x² + 4x - 12

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Answer:

sin 50° = e/f

cos 50° = g/f

tan 50° = e/g

sin 40° = g/f

cos 40° = e/f

tan 40° = g/e

Step-by-step explanation:

sin 50° = e/f

cos 50° = g/f

tan 50° = e/g

sin 40° = g/f

cos 40° = e/f

tan 40° = g/e

The measure of angle ABC is given as follows:

m < ABC = 145º.

Two angles are defined as supplementary angles when the sum of their measures is of 180º.

In a parallelogram, we have that the opposite angles are supplementary.

The opposite angles for this problem are given as follows:

Hence the measure of angle ABC is given as follows:

m < ABC + 35º = 180º.

m < ABC = 145º.

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Proved that if the function f(x,y)=e^(ax+by) with a^2+b^2=1, then f''(xx)+f''(yy)=1

To find the second partial derivatives of f(x, y), we differentiate f(x, y) twice with respect to x and y:

f'(x, y) = ae^(ax + by) and f''(xx) = a^2e^(ax + by)

f'(x, y) = be^(ax + by) and f''(yy) = b^2e^(ax + by)

Adding these second partial derivatives, we get:

f''(xx) + f''(yy) = a^2e^(ax + by) + b^2e^(ax + by)

Since a^2 + b^2 = 1, we have:

f''(xx) + f''(yy) = e^(ax+by)

But f(x, y) = e^(ax+by), so:

f''(xx) + f''(yy) = f(x, y)

Therefore, we have proved that f''(xx) + f''(yy) = 1.

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