In a math class with 25 students, a test was given the same day that an assignment
was due. There were 15 students who passed the test and 16 students who completed
the assignment. There were 6 students who failed the test and also did not complete
the assignment. What is the probability that a student who completed the homework
passed the test?

The normal approximation for the given binomial distribution with p = 0.10 and n = 40 has a mean of 4 and a standard deviation of 1.93.

The binomial probability distribution can be approximated by the normal distribution when certain conditions are met, such as a large sample size and a probability of success not too close to 0 or 1.

In this case, n = 40 and p = 0.10. To determine if the normal approximation is appropriate, we can check if both np and n(1-p) are greater than or equal to 10

np = 40 x 0.10 = 4

n(1-p) = 40 x 0.90 = 36

Both np and n(1-p) are greater than or equal to 10, so the normal approximation is appropriate.

The mean of the binomial distribution is given by μ = np = 4, and the standard deviation is given by σ = √(np(1-p)) = √(40 x 0.10 x 0.90) ≈ 1.93.

To find the mean and standard deviation of the normal approximation, we use the same mean and standard deviation values

μ = np = 4

σ = √(np(1-p)) ≈ 1.93

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Answer:

4138158

Step-by-step explanation:

1+1+1+1+1+1+1+1+1+1+1+1+1+3+3+34

-13+6+34

-19+34

=59

4748957+84765

=4833722

59+4833722

=4833781

keep counting all of the number and then you get the same (?? iguess) answer as mine.

The calculated value of the length of segment KL is 4 units

From the question, we have the following parameters that can be used in our computation:

Radius, r = 3

LM = 2

JK = 3

The length KL is calculated as

KL² = JL² - JK²

Where

JL = r + LM = 3 + 2 = 5

Substitute the known values in the above equation, so, we have the following representation

KL² = 5² - 3²

KL² = 16

Take the square roots

KL = 4

Hence, the length is 4 units

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Answer: d

Step-by-step explanation:

Answer:

B: Range of round 1 were higher than the range of Round-2.

Step-by-step explanation:

Please give me Brainliest.

The translation is as shown in the figure in option B

Translation transformation is a type of geometric transformation that moves every point of a figure the same distance and direction. This transformation does not change the size, shape, or orientation of the figure, but only its position in space.

The transformation required ahs the rule defined as

Applying the rule arrives the image in option B

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The surface area of the triangular pyramid in the image given is calculated as: C. 323 square inches.

To find the surface area of the triangular pyramid, find the area of each face and the base as shown in the net given and add all together.

Area of the three triangular faces = 3(1/2 * base * height)

= 3(1/2 * 15 * 10)

= 3(75)

= 225 square inches

Area of the triangular base = 1/2 * base * height

= 1/2 * 15 * 13

= 97.5 square inches

The surface area = 225 + 97.5 = 322.5

≈ 323 square inches.

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Answer: 162

Step-by-step explanation:

so you will have to do 62+28+75=162

15 member enjoy both dancing and hiking.

The likelihood of the preceding event is multiplied by the probability of the subsequent, or conditional, occurrence to determine the conditional probability. Conditional probability examines the likelihood that one event will occur given the likelihood that a related event will occur beforehand.

We have,

Member enjoy dancing, n(D) = 62

Member enjoy hiking, n(H) = 28

Member enjoy dancing or hiking, n(D ∪ H) = 62

Using Conditional probability

n (D ∪ H) = n(D) + n(H) - n (D ∩ H)

75 = 62 + 28 - n (D ∩ H)

75 - 90 = - n (D ∩ H)

n (D ∩ H) = 15

Thus, 15 member enjoy both dancing and hiking.

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The mean of the game is 9

To find the mean of a game with two possible outcomes, we need to multiply the value of each outcome by its probability and then add the results.

Let X be the random variable representing the outcome of the game. The first outcome has a value of 5 and a probability of 0.2, while the second outcome has a value of 10 and a probability of 0.8.

Thus, the expected value or mean of the game can be calculated as:

E(X) = (0.2 x 5) + (0.8 x 10)

= 1 + 8

= 9

Therefore, the mean of the game is 9

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Answer:

Answers down below!

Step-by-step explanation:

Mean: 38.2

Median: 34

Range: 56

Mode: 13 and 34

Hope this helps!

The maximum amount of water that the tank can hold is 82,824 cubic inches, which corresponds to option (a) in the given answer choices.

To find the maximum amount of water that the tank can hold, we need to find the volume of the tank. The volume of a rectangular prism (which is what a fish tank is) can be found by multiplying the length, width, and height of the prism.

Volume = length x width x height

Plugging in the given dimensions of the fish tank, we get:

Volume = 34 in x 58 in x 42 in

Volume = 82,824 in^3

Therefore, Correct option is A.

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Answer: It is simplified the way it is it can not be simplified anymore. its a trick question

Step-by-step explanation:

Answer:

1) She needs (35 × 2) + 8 = 78 inches

The value of 3×(2×-5) is 30

What is meant by the term value?

Value refers to the worth or usefulness of something, typically determined by its usefulness, desirability, or importance in relation to other things. It can also refer to the ethical or moral principles and beliefs that guide a person's actions and behaviours.

According to the given information

To solve the expression -3×(2×-5), we first need to evaluate the expression inside the parentheses:

2×-5 = -10

Then, we can substitute this value into the original expression and simplify further:

-3×(-10) = 30

Therefore, -3×(2×-5) = 30.

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When the explanatory variable is categorical and the response variable is quantitative, a box plot or a bar plot would be appropriate to display the relationship between the two variables.

When the explanatory variable is categorical and the response variable is quantitative, a box plot or a bar plot would be appropriate.

A box plot (also known as a box-and-whisker plot) displays the distribution of the response variable within each category of the explanatory variable. It shows the median, quartiles, and outliers of the data, making it useful for visualizing differences in central tendency and spread between categories.

A bar plot (also known as a bar chart) displays the mean, median, or sum of the response variable for each category of the explanatory variable. It is useful for comparing the values of the response variable between categories.

Both box plots and bar plots are effective in displaying the relationship between a categorical variable and a quantitative variable. The choice between the two would depend on the specific research question, the nature of the data, and the intended audience.

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These plots help visualize the distribution of the quantitative response variable across different categories in the explanatory variable.

When the explanatory variable is categorical and the response variable is quantitative, a bar chart or a box plot would be appropriate. A bar chart displays the mean or median of each category, while a box plot displays the distribution of each category including the median, quartiles, and outliers. These plots help to visualize the relationship between the categorical and quantitative variables and identify any patterns or differences between categories.
When the explanatory variable is categorical and the response variable is quantitative, an appropriate type of plot to use would be a box plot or a violin plot. These plots help visualize the distribution of the quantitative response variable across different categories in the explanatory variable.

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The required equilibrium quantity is 80 units and equilibrium price is 5600 in monetary units for the supply function p = 70q and the demand function p= -q^2+12000.

The supply function of a commodity is given as, p= 70q

The demand function of the commodity is given as, p= -q^2+12000

We know at equilibrium condition of market,

Supply of a commodity is equal to its demand in the market.

Therefore,

70q = p = -q^2+12000

⇒ 70q = -q^2+12000

⇒ q^2+ 70q -12000 = 0

⇒ q^2+ 150q - 80q -12000 = 0

⇒ q( q + 150) - 80( q + 150) = 0

⇒ (q -80) ( q + 150) = 0

⇒q = 80 ad q = -150

We ignore the negative value of q, that is - 150 , as quantity of a commodity can not in negative.

Therefore, the equilibrium quantity of the commodity is 80 units.

Thus, p = 70(80) = 5600 (in monetary units)

Therefore, equilibrium price of the commodity is 5600 (in monetary units).

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The equation represents a linear function.

What is quadratic equation?

A quadratic equation is a polynomial equation of degree two which can be written in the form: ax² + bx + c = 0, where x is the variable and a, b, and c are constants with 'a' not equal to 0. The term 'quadratic' comes from the Latin word 'quadratus', which means 'square'.

The equation given in the image is a quadratic equation in standard form, which means it is written in the form ax^2 + bx + c = 0, where a, b, and c are constants and x is the variable.

To determine which statement is true about this equation, we need to analyze its discriminant, which is given by the expression b^2 - 4ac. The discriminant tells us about the nature of the solutions of the quadratic equation.

If the discriminant is positive, then the equation has two distinct real roots.

If the discriminant is zero, then the equation has one real root (also known as a double root).

If the discriminant is negative, then the equation has two complex roots (conjugate pairs).

In the given equation, a = 3, b = -4, and c = 1. Substituting these values into the discriminant formula, we get:

b^2 - 4ac = (-4)^2 - 4(3)(1) = 16 - 12 = 4

Since the discriminant is positive, we know that the quadratic equation has two distinct real roots. Therefore, statement (A) is true.

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Answer:

Answers in the picture. Thanks

To create a table for the line y=1-4x from x=-2 to x=2, we substitute in each x value into the equation, solve for y, and display these pairs in a table. The pairs are (-2, 9), (-1, 5), (0, 1), (1, -3), and (2, -7).

The equation of the line is y = 1 - 4x. To create a table showing the values of x and y where x is from -2 to 2, we need to substitute each value of x into the equation, solve for y, and then organize the results in a table.

So, the table representing these values would look like this:

x               y

-2             9

-1              5

0               1

1               -3

2              -7

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Answer:

The top right graph shows the solution to this system of linear equations.

To find sin(Q), we first calculated the length of the hypotenuse using the Pythagorean theorem. Then we used the sine function to find sin(Q) which is approximately 0.78 rounded to the nearest hundredth.

We can use the Pythagorean theorem to find the length of the third side, which is the hypotenuse

h = √(P² + Q²)

h = √(7² + √95²)

h = √(49 + 95)

h = √144

h = 12

Now, we can use the sine function to find sin(Q)

sin(Q) = opposite/hypotenuse = √95/12

Using a calculator, we get

sin(Q) ≈ 0.78

Rounding to the nearest hundredth, we get

sin(Q) ≈ 0.78

Therefore, the value of sin(Q) rounded to the nearest hundredth is 0.78.

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--The given question is incomplete, the complete question is given

" Find the value of sin Q rounded to the nearest hundredth, if necessary.

Q= √95

P= 7 "--

Answer:

ΔABC and ΔDEF are similar by (AA).

option (2)

Step-by-step explanation:

Here to test if the two triangles are similar based on the information given I will attempt to see if they are similar using

Angle-Angle (AA) Similarity Theorem: If two angles of one triangle are congruent to two angles of another triangle, then the two triangles are similar.

Δ = 180°

therefore using the givens:

m∠CAB = 18°

m∠ABC = 110°

m∠ACB = 180°-110°-18° = 52°

now for ΔDEF

because we know corresponding parts of similar triangles are proportional

∠DEF  ≅  ∠CAB

and because m∠ACB = 52° and m∠FDE = 52°

∠FDE  ≅  ∠ACB

Therefore by AA, we have proven that these two triangles ΔABC and ΔDEF are similar.

so option (2)

Answer:

2(1/2)(8)(15) + 17(2) + 8(2) + 15(2)

= 200 cm^2

Answer:

  D.  the length of the quarter

Step-by-step explanation:

Given Patrick started playing 4 minutes into the 2nd quarter, and played until the end of the 3rd quarter, you want to know how long Patrick played.

If q is the length of a quarter, Patrick's playing time is ...

  2q -4 . . . . minutes

In order to give this a numerical value, we need to know the value of q.

The most important variable to the problem is ...

  D.  the length of a quarter.

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Her current checking account balance is $2,641.50.

To find Carrington's current checking account balance, we need to add up all the deposits and subtract all the withdrawals from her starting balance.

Starting balance = $800

Deposits = $2,800

Withdrawals = $310 + $88 + $35.50 + $150 + $375 = $958.50

Therefore, Carrington's current checking account balance is:

$800 + $2,800 - $958.50 = $2,641.50

Her current checking account balance is $2,641.50.

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The population from which the manager should choose a sample to answer her question is: B. The list of customers who purchased plants from the nursery.

A population is a term that goes by the definition of it being the entire group that we specifically intend to get conclusions about. Meanwhile, we ca sample is defined as the specific group that you will collect data from. The size of the given sample is normally always less than  that of the total size of the given population. In research, it is noticed that a population doesn't always mean we are referring to people.

Now, we are told that the manager wants to know which types of plants his customers buy most often.

Looking at the options, the most appropriate population from which a sample could be gotten from is the list of customers who purchased plants from the nursery.

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You would want to find the slope of the line (for this, look at the coordinate pairs and the y intercept). The slope equation is y2-y1/x2-x1. Once you find this out, rewrite in y = mx + b

Plug in 6 for x, then solve for y.

The roof area is 468.75 square feet.

To find the roof area, we need to follow these steps:
Determine the rise (vertical distance) using the slope of 9 inches per foot:

Since the run is 10 feet, the rise is 9 inches/foot × 10 feet = 90 inches.
Convert the rise to feet: 90 inches ÷ 12 inches/foot = 7.5 feet.
Calculate the length of the rafter using the Pythagorean theorem:

Rafter length = √(run² + rise²) = √(10² + 7.5²) = √(100 + 56.25) = √156.25 = 12.5 feet.
Determine the total length of the gable roof:

Since the rake slope is 1.25, we have Total length = Rafter length × Rake slope = 12.5 feet × 1.25 = 15.625 feet.
Calculate the roof area:

Roof area = Eaves length × Total length = 30 feet × 15.625 feet = 468.75 square feet.
None of the given options matches the calculated roof area.

It is possible there is a mistake in the question or the provided options.

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The expression[tex](2x^3y)(3x^4y^2)[/tex] simplifies to [tex]6x^7y^3[/tex]. The coefficients are multiplied, and the variables are combined by adding their exponents. Option C.

To simplify the expression [tex](2x^3y)(3x^4y^2),[/tex] we can multiply the coefficients and combine the variables with the same base by adding their exponents.

Multiplying the coefficients, we have:

2 * 3 = 6

For the variables, we multiply the x terms by adding their exponents (3 + 4 = 7), and the y terms by adding their exponents (1 + 2 = 3).

Therefore, simplifying the expression [tex](2x^3y)(3x^4y^2)[/tex] gives us:

[tex]6x^7y^3[/tex]

Hence, the simplified form of[tex](2x^3y)(3x^4y^2)[/tex] is[tex]6x^7y^3[/tex]. Option c is correct.

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Answer:

C:6x7y3

Step-by-step explanation:

i took the test and got it right