Consider a sample space with 7 elements. Let A be an event with 5 elements and B be an event with 4 elements. Let's assume that there are 2 repeated elements between both events.P(A y B) =A) 4/7B) 2/7C) 5/7D) 9

The excel statement to estimate the test average of these 4 grades is -

An average is the sum of many numbers divided by the total of numbers. It is also known as the arithmetic mean.

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Answer:

15

Step-by-step explanation:

So first you need to find out how many groups of 6 cups of oatmeal there are. So for this just do 18/6=3

So now you should be able to find the amount of flour by doing 5*3=15

The flour is needed for a big batch of cookies that uses 18 cups of oatmeal would be 15 cups.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

In order to find out how many groups of 6 cups of oatmeal there are.

So, For every 6 cups of oatmeal = 18/6=3

Now,

For 5 cups of flour = 5 x 3 = 15

The flour is needed for a big batch of cookies that uses 18 cups of oatmeal would be 15 cups.

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The value of x is obtained as follows:

128º.

The measure of angle A is given as follows:

m < A = 132º.

For a parallelogram, the opposite angles are congruent, meaning that they have the same measure, hence the value of x is obtained as follows:

5x - 508 = x + 4.

4x = 512

x = 512/4

x = 128.

Then the measure of angle A is given as follows:

m < A = 5(128) - 508

m < A = 132º.

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The correct response is d) All the above. The arithmetic mean is equal to the median, the median is equal to the mode, and the mode is equal to the arithmetic mean.

If the data are graphed symmetrically, the distribution demonstrates 0% skewness regardless of how long or fat the tails are. When the median of a data set is utilized, 50% of the data points in the collection have values lower than or equal to the median, and 50% of them have values greater than or equal to the median. The middle score in the set is known as the median. The first step in calculating the median is to order the data points from smallest to greatest. The median in an odd-numbered set will be the value that falls exactly in the middle of the list. You must determine the average of the two middle numbers in a set of even numbers. The average is determined by summing up each value individually and dividing that sum by the total number of observations.

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D. No, because it is possible that the student gets lower test grades because of another factor, such as not studying.

When two variables behave in unison, rising or falling in lockstep with one another, there is a positive correlation.

When two variables move in opposition to one another—that is, when one rises, the other falls, this is known as a negative correlation.

Given, A student noticed that when she gets less than 8 hours of sleep at night, she scores lower on her test grades.

No, Because it is possible that the student gets lower test grades because of another factor, such as not studying.

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Answer:

2x + 10 < -8

Step-by-step explanation:

2x + 10 < -8, subtract 10 from both sides and then divide by 2 to get x < -9.

Answer:

40.18

Step-by-step explanation:

According to this question, the mean of 100 observation is found to be 40. This means that the number of values in the set of data is 100. However, at the time of computation two items were wrongly taken as 30 and 27 instead of 3 and 72.

The mean is derived by dividing the sum of values in the data (Σx) by the number of observations (n) i.e.

Mean = Σx/n

For the computation error:

Mean = 40

Let x represent the sun of other 98 values except 30 and 27

n = 100

40 = x + 30 + 27/100

40 = 57 + x/100

Cross multiply

4000 = 57 + x

x = 4000 - 57

x = 3943.

Sum of other 98 values = 3943.

Now, let's find the correct mean with correct values of 3 and 72;

Mean = Σx/n

Mean = 3943 + 3 + 72/100

Mean = 4018/100

Mean = 40.18

Based on the fact that you have completed 1/4 of the work your boss expects this week, in percentage terms this is 25%.

In order to find the percentage of a fraction, use the following formula:

= (Numerator ÷ Denominator) x 100%

If you have worked 1/4 therefore, the amount in percent is:

= (1 ÷ 4) x 100%

= 0.25 x 100%
= 25%

Rest of the question is:

You estimate that you have completed 1/4 of the work your boss expects this week. What percent if your work is complete?

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If Mr. Hernandez had half of a large pizza left over after his family ate dinner. The fraction of the pizza left will be 1/2.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that, Mr. Hernandez had half of a large pizza left over after his family ate dinner.

The fraction of the pizza that was left is found as,

= 1 -1/2

=1/2

Thus, if Mr. Hernandez had half of a large pizza left over after his family ate dinner. The fraction of the pizza left will be 1/2.

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Problem

Findthefollowing androundtothenearesttenth:

a) 90%of whatnumberis 262?

b) Whatpercentof45is329?​

Solution

Part a

For this case we can do the following:

And solving for x we got:

x= 100 (262/90)= 291.1

Part b

For this case we can do the following:

And we can conclude that the answer is 13.68%

The.dimensions (length and width) of the poster include 10 inches and 2 inches.

Let the width be represented by w.

The length based on the information given will be: (w/2) + 9 = 0.5w + 9

The area is 20 inches²

It should be noted that length × width = area.

This will be:

= (0.5w + 9) × w = 20

0.5w² + 9w = 20

0.5w² + 9w - 20 = 0

Multiply through by 2

w² + 18w - 40 = 0

w² + 20w - 2w - 40 = 0

w(w + 20) - 2(w + 20)

(w - 2) = 0

w = 0 + 2

Width = 2 inches

Length = 0.5w + 9

= 0.5(2) + 9

= 1 + 9

= 10 inches.

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In ideal projectile motion, when the positive -axis is chosen to be vertically upward, the -component of the velocity of the object during the ascending part of the motion and the -component of the velocity during the descending part of the motion are b) negative, positive respectively.

In ideal projectile motion, the initial velocity of an object can be separated into its x-component (horizontal) and y-component (vertical). When the positive y-axis is chosen to be vertically upward, the object experiences a constant acceleration due to gravity.

This results in a negative y-component of velocity during the ascending part of the motion (as the object is moving upwards against gravity) and a positive y-component during the descending part of the motion (as the object is falling downwards with gravity).

To summarize, the y-component of velocity is negative during the ascending part of the motion and positive during the descending part. This is because gravity acts downwards, causing the object to slow down as it rises and speed up as it falls.

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Answer:Fact #1

Step-by-step explanation: because fact #1 is turly correct while fact #2 and #3 is false

BTW CAN I HAVE BRAINLIEST PLEASE??

The expression for the cubic function f is -5x^3 + 20x^2 - 25x.

To find an expression for a cubic function f(x) given specific values, we can start by using the general form of a cubic function: f(x) = ax^3 + bx^2 + cx + d.

We are given three points on the graph of the function: (5, 300), (-5, 0), and (0, 0), as well as (6, 0) which gives us a fourth point.

Substituting the x and y values into the equation, we get the following system of equations:

For point (5, 300):

300 = a(5^3) + b(5^2) + c(5) + d

For point (-5, 0):

0 = a(-5^3) + b(-5^2) + c(-5) + d

For point (0, 0):

0 = a(0^3) + b(0^2) + c(0) + d

For point (6, 0):

0 = a(6^3) + b(6^2) + c(6) + d

Simplifying these equations, we obtain a system of linear equations in terms of a, b, c, and d. Solving this system will give us the coefficients for the cubic function.

After solving the system, we obtain the expression for the cubic function:

f(x) = -5x^3 + 20x^2 - 25x

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Answer:

its 75

Step-by-step explanation:

im in highschool and just did this a couple of weeks ago

its called alternate interior or alternate exterior. something like that but i know im right trust me. also pls mark me brainliest

The minimum sterilization time required to achieve a 99.9% confidence level in successfully sterilizing 50 L of medium containing 10^6 contaminating organisms is approximately 1.95 minutes.

To calculate the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms, we need to use the concept of decimal reduction time (D-value) and the number of organisms.

The D-value represents the time required to reduce the population of microorganisms by one log or 90%. In this case, the given D-value is 0.65 minutes.

To achieve a 99.9% confidence level, we need to reduce the population of microorganisms by three logs or 99.9%, which corresponds to a 10^-3 reduction.

To calculate the minimum sterilization time, we can use the following formula:

Minimum Sterilization Time = D-value × log10(N0/Nf)

Where:

D-value is the decimal reduction time (0.65 minutes).

N0 is the initial number of organisms (10^6).

Nf is the final number of organisms (10^6 × 10^-3).

Let's calculate it step by step:

Nf = N0 × 10^-3

= 10^6 × 10^-3

= 10^3

Minimum Sterilization Time = D-value × log10(N0/Nf)

= 0.65 minutes × log10(10^6/10^3)

= 0.65 minutes × log10(10^3)

= 0.65 minutes × 3

= 1.95 minutes

Therefore, the minimum sterilization time required to yield 99.9% confidence of successfully sterilizing 50 L of medium containing 10^6 contaminating organisms using this procedure is approximately 1.95 minutes

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Answer:

I think 40

Step-by-step explanation:

20/.50

Answer:

30 rides

Step-by-step explanation:

First subtract $5 from $20 (20-5) to get $15 now multiply 15 by 2 (which is the same as dividing by 1/2. and you get 30. so your answer is 30 rides

20-5=15       15x2=30     30 rides

Answer:

Step-by-step explanation:

-3 + 4i

value = square( (-3)^2 + (4i)^2 ) = sqr(9 + 16) = sqr(25) = 5

The absolute value is like the Pythagoras theorem

Answer:

=>A. -6x - 4

Step-by-step explanation:

=>-4(x + 2) - 2x + 4

=> -4x-8-2x+4

=> -6x-4

The value of the definite integral of π/4 ∫ (cos(2t) i + sin²(2t) j + sec²(t) k) dt over the interval [0, π/4] is: (1/2) i + (1/2)(π/4) j + k - 0 = (1/2) i + (π/8) j + k.

To evaluate the integral of π/4 ∫ (cos(2t) i + sin²(2t) j + sec²(t) k) dt over the interval [0, π/4], we can integrate each component separately. Let's start with the integral of the first component, cos(2t): ∫ cos(2t) dt = (1/2)sin(2t) + C, where C is the constant of integration. Next, we integrate the second component, sin²(2t): ∫ sin²(2t) dt = ∫ (1/2)(1 - cos(4t)) dt= (1/2)(t - (1/4)sin(4t)) + C. Moving on to the third component, sec²(t): ∫ sec²(t) dt = tan(t) + C. Putting it all together, the integral of the vector function becomes:             ∫(cos(2t) i + sin²(2t) j + sec²(t) k) dt = (1/2)sin(2t) i + (1/2)(t - (1/4)sin(4t)) j + tan(t) k + C, where C is the constant of integration.

Finally, to evaluate the definite integral over the interval [0, π/4], we substitute the upper and lower limits into the expression: ∫ (cos(2t) i + sin²(2t) j + sec²(t) k) dt= [(1/2)sin(2t) i + (1/2)(t - (1/4)sin(4t)) j + tan(t) k] evaluated from t = 0 to t = π/4. Substituting t = π/4: [(1/2)sin(2(π/4)) i + (1/2)(π/4 - (1/4)sin(4(π/4))) j + tan(π/4) k] = [(1/2)sin(π/2) i + (1/2)(π/4 - (1/4)sin(π)) j + 1 k] = [(1/2)(1) i + (1/2)(π/4 - (1/4)(0)) j + 1 k] = (1/2) i + (1/2)(π/4) j + k.

Substituting t = 0: [(1/2)sin(2(0)) i + (1/2)(0 - (1/4)sin(4(0))) j + tan(0) k] = [(1/2)sin(0) i + (1/2)(0 - (1/4)sin(0)) j + 0 k] = (0)i + (0)j + 0k = 0. Therefore, the value of the definite integral of π/4 ∫ (cos(2t) i + sin²(2t) j + sec²(t) k) dt over the interval [0, π/4] is: (1/2) i + (1/2)(π/4) j + k - 0 = (1/2) i + (π/8) j + k.

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The radius of the cone is 783.84/√h

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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The profit as a function Q is Q² + 90Q + 5000.

It should be noted total revenue = Price × Quantity = 100Q

Total cost = 5000 + 10Q + Q²

Therefore, profit will be:

= Revenue - Cost

= 100Q - (5000 + 10Q + Q²)

= -5000 -90Q - Q².

= Q² + 90Q + 5000

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P(A) = P(6) = 0.003

answer: 0.003

Answer:

Yes, the lines on the graph at 3 and -3 a part  of the solution,

Step-by-step explanation:

The inequality \(|y| \leq 3\) contains all the values of \(y\) 3 units from the origin including the values 3 and -3.

Thus, the lines on the graph y =-3 and y = 3 are the part of the solution.

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