Answer probability question PLSSSSS

Answer:

(a) P(A ∩ E) = 0.03

(b) P(A) = 0.39

(c) P(A | E) = 0.1

Step-by-step explanation:

The first level of the tree gives the following probabilities

P(E) = 0.1

P(E') = 1 - P(E) = 0.9

The second level gives conditional probabilities

P(A|E) = 0.3  this is the top most branch from the root

P(A ∩ E) = P(A|E) P(E) = 0.3 x 0.1 = 0.03      Answer(a)

To find P(A) we find all routes that will end in A, compute each probability and add up the individual probabilities

For event E happening, P(A ∩ E) = 0.03 which is computed in A

However A can also happen when the complement event E' happens
P(A ∩ E') = P(A | E') P(E') = 0.4 x 0.9 = 0.36

Add these two together to get 0.03 + 0.36 = 0.39 Answer (b)

P(A|E) is nothing but the probability value when we follow the E branch first followed by the A branch

This is 0.1   answer (c)

Answer: x=92x=−7

Step-by-step explanation:x=−b±b2−4ac2a=−±2−4√2Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

Answer:it’s 3

Step-by-step explanation:

so what u do is multiply

The number of balls that he can make is given as follows:

249 balls.

The volume of a sphere of radius r is given by the equation presented as follows:

V = 4πr³/3.

Considering the radius of 3 inches, the volume of each ball is given as follows:

V = 4π x 3³/3

V = 113.1 in³.

He has a total of 28,260 in³ of material, hence the number of balls that he can make is given as follows:

28260/113.1 = 249 balls.

(rounding down, as there will not be enough material for the 250th ball).

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All the angles of the given parallelogram found using the properties of the parallelogram are 38°,38°, 142° and 142°.

What is meant by a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size. On the same side of the transversal, the interior angles are supplementary. 360 degrees is the sum of all interior angles. The qualities of a parallelogram are shared by the shapes of a square and a rectangle.

Given the two opposite angles of parallelogram as (4x-50)° and

(60 - x)°.

We are asked to find all the angles of the parallelogram.

As said earlier, opposite angles of parallelogram are equal.

So,

4x-50 =  60 - x

5x = 110

x = 22

So the opposite angles are:

4x-50 = 4*22- 50 = 38°

Adjacent angles are supplementary. So,

38 + y = 180

y = 142°

Sum of all angles of parallelogram should be 360°.

38+38+142+142 = 360°.

Therefore all the angles of the parallelogram are 38°,38°, 142° and 142°.

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Answer: approx 13.54 (full decimal : 13.416666667)

Step-by-step explanation:

Area = Base Area x Height   OR    Length x Width x Height

5/3 x 13/4 x 5/2

5 x 13 x 5 = 325

3 x 4 x 2 = 24

325/24 = approx 13.54

The length of the garden which is in the shape of a rectangle with a perimeter of 18 meters and whose length is 3 meters more than twice the width, is 7 metres.

Let's name the width "w" and the length "l" of the rectangle.

We know from the problem description that the rectangle's perimeter is 18 metres, thus we can formulate an equation:

2l + 2w = 18

We also know that the length is 3 metres longer than the breadth, thus we can solve the following equation:

l = 2w + 3

We may plug the second equation into the first to remove the letter "l" and get an equation with only one variable:

2(2w + 3) + 2w = 18

When we simplify this equation, we get:

6w + 6 = 18

When we subtract 6 from both sides, we get:

6w = 12

When we divide both sides by 6, we get:

w = 2

We can use the second equation to get the length now that we know the width is 2 metres:

l = 2w + 3 = 2(2) + 3 = 7

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The area of the trapezoid is given as 40 cm square

The formula for the trapezoid is given as

A = (a + b) / 2 * h

the question did not tell us the sides hence I have taken

a = 6

b = 10

h = 5 cm

such that we would have

6 + 10 / 2 * 5

8 * 5

= 40 cm square

Hence the area of the trapezoid is given as  40 cm square

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The total surface area is π[(4/3)x]² + π(4/3)x². The area of the base is greater than the lateral area.

An equation is an expression that shows how numbers and variables are related using mathematical operations. Equations can be linear, quadratic, cubic and so on.

Given the cone. The surface area (SA) is given by the equation:

SA = πr² + πrs

where r is the radius of the cone and s is the slant height.

Given that the slant height is x and the radius of the cone is 4/3 the slant height = (4/3)x

Hence:

SA = πr² + πrs

The base area =  πr²; Lateral area = πrs

substituting:

The base area = π[(4/3)x]², the lateral area =  π(4/3)x²

Hence:

SA = π[(4/3)x]² + π(4/3)x²

The area of the base is greater than the lateral area.

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Answer:

34 miles per gallon

Step-by-step explanation:

850/25 = 34

B .The value of f(x) is increasing for each unit decrease in x  about the graph is correct.

What is the graph of exponential function?

The graphs of exponential functions are nonlinear—because their slopes are always changing, they look like curves, not straight lines

Exponential function f(x) is given

According to given graph, The value of f(x) is increasing for each unit decrease in x

Therefore, The statement, The value of f(x) is increasing for each unit decrease in x about the graph is correct.

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Answer:

-2+5/-4+1= -1

Step-by-step explanation:

put y2 minus y1 over x2 minus x1

Answer:

2 * (M - 14) = 64

Step-by-step explanation:

Twice mean s two times the rest of M

The first four terms and the stated term, with an as the first term, are given the arithmetic sequence: 11 + 9n, a6.

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The inequality that represents the cost c per 14 squares for a new carpet with a budget of $700 is: c ≤ 700/14 = 50 Therefore, the answer is:

The inequality is c ≤ 50.

Assuming that the price of the carpet is constant per square foot, we can write the following inequality to represent the cost c per 14 squares:

c/14 ≤ 700

This inequality states that the cost per 14 square feet (c/14) cannot exceed $700, which is the total amount of money available to purchase the carpet.

To write an inequality representing the cost of a new carpet per 14 square feet, we need to first define the cost per square foot. Let's say the cost per square foot is $x. Then, the cost of the carpet for 14 square feet would be 14x.

Since we have a budget of $700, we can write the inequality:

14x ≤ 700

This inequality represents that the cost of the carpet for 14 square feet should be less than or equal to $700. We can solve for x by dividing both sides by 14:

x ≤ 50

This means that the cost per square foot of the carpet should be less than or equal to $50 for it to fit within the budget of $700.

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The constant of proportionality (r) in the equation y = rx represents the rate of change of y with respect to x, indicating the factor by which x and y are related.

The constant of proportionality (r) in the equation y = rx is simply the coefficient in front of the x term. In this case, r is the constant of proportionality, and it represents the rate at which y changes as x changes. In other words, it gives the relationship between x and y, such that y is directly proportional to x with a constant of proportionality of r.

So, in the equation y = rx, the value of r is the constant of proportionality.

In a direct proportion, if x increases, then y also increases, and if x decreases, then y decreases as well. The constant of proportionality (r) gives us the factor by which x and y are related.

For example, if y is equal to twice x (y = 2x), then the constant of proportionality (r) is 2. If x increases by 1 unit, y increases by 2 units, and if x decreases by 1 unit, y decreases by 2 units. The constant of proportionality in this case is 2.

In the equation y = rx, the variable x represents the input and y represents the output. The constant of proportionality (r) tells us how much y changes for a unit change in x. It can be thought of as the ratio of the change in y to the change in x. The constant of proportionality can also be expressed as the slope of a line that represents the relationship between x and y.

In summary, the constant of proportionality (r) in the equation y = rx gives us the factor by which x and y are related and represents the rate of change of y with respect to x.

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Answer:

AB = a - 8b

Step-by-step explanation:

AB = AO + OB

    = - OA + OB

     = - (4a + 7b ) + (5a - b )

    = - 4a - 7b + 5a - b ← collect like terms

     = a - 8b

The triangle is scalene triangle as none of the sides of a triangle are equal to each other.

Triangles are classified into three types on the basis of its sides.

Equilateral triangle =  If all sides of a triangle are equal then it is known as equilateral triangle.

Isosceles triangle =  If any two sides of a triangle are equal then it is known as isosceles triangle.

Scalene triangle = If none of the sides of a triangle are equal then it is known as scalene triangle.

The question states that a triangle has side lengths 35cm, 46cm, and 68cm

so, none of the side are equal so the given triangle is scalene triangle

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Answer:

Step-by-step explanation: umm hard the question doesn't sound like a question

The correct answer is,

x = 39

y =21

A different type of quadrilateral known as parallelogram has both pairs of its opposite sides parallel and equal.

The figure shows a parallelogram ABCD with the parameters AB II CD and AD II BC. Furthermore, AB = CD and AD = BC.

In a parallelogram, the opponent angles are equal.. So it means that side /A is equal to side /C, let's equate the two angles and solve for x;

5y - 3 = x + 3y

2y - x = 3                            ........(1)

Also, consecutive angles of a parallelogram are supplementary,

therefore,

/C + /D = 180

x + 3y + 2x = 180

3x + 3y = 180

x + y = 60                                  .......(2)

Now, add equations (1) and (2)

(2y-x) + (y+x) = 3 + 60

3y = 63

y = 21

now put this value of y in (2) we get,

x + y = 60

x + 21 = 60

x = 39

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The possible values of the length of the rectangle is x > 34, the correct option is A.

For a rectangle with length and width L and W units, we get:

Area of the rectangle = [tex]L \times W \: \rm unit^2[/tex]

Perimeter of the rectangle = [tex]2(L + W) \: \rm unit[/tex]

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

Given that width is 8 inches less than the length x

Sum of length and width more than 60

Now, the length is x

Width is x-8

x-8+x>60

2x>60

x>30

Therefore, the length of rectangle will be  x > 34

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Answer:

e

Step-by-step explanation:

The rule of the sides of a triangle is that the sum of the lengths of any two sides of a triangle is always greater than the length of the third side. This rule is also known as the triangle inequality theorem.

The graph of the function is horizontal when the value of the Porsche stays even.

Staying even means that the value of the car does not change, hence it is constant.

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The probability of selecting a credit card customer at random and finding the customer charged between $70 and $83 is 0.4750.

The probability of selecting a credit card customer at random and finding the customer charged between $70 and $83 is 0.4750. This probability can be calculated using the normal distribution. The normal distribution is a probability distribution that is symmetrical and bell-shaped, with the mean (in this case, $70) in the middle of the distribution and the standard deviation (in this case, $10) as the measure of spread.The probability that a customer is charged between $70 and $83 can be calculated using the cumulative distribution function (CDF), which is the probability that a random variable is less than or equal to a given value. To calculate the probability of selecting a customer at random and finding their charge between $70 and $83, we use the CDF to calculate the area between the lower bound of $70 and the upper bound of $83. This area is equal to 0.4750.In conclusion, the probability of selecting a credit card customer at random and finding the customer charged between $70 and $83 is 0.4750. This probability was calculated using the normal distribution and the cumulative distribution function.

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Step-by-step explanation:

this is a 14.4 in × 10.2 in rectangle, were 2 identical half-circles (= 1 full circle) are removed.

so, in other words, the shaded area is

rectangle area - circle area

the rectangle area is length × width.

the circle area is pi×r². with r (radius) being half the diameter. the diameter is 10.2 in, so, r = 10.2/2 = 5.1 in.

so, the shaded area is

14.4 × 10.2 - pi × 5.1² = 146.88 - 3.14 × 26.01 =

= 146.88 - 81.6714 = 65.2086 ≈ 65.21 in²

remember, an area is always expressed in square units. a volume in cubic units. and a length in simple units.

For the polynomial "8d⁻² - 4d³" , the standard form is  "-4d³ + 8d⁻²"  , the degree is "3"  and the leading coefficient is  "-4" and the number of terms is "2"  .

The polynomial is ⇒ 8d⁻² - 4d³.

To write the polynomial in standard form, we first rearrange the terms by putting the terms with the highest degree first ;

So , the standard form is ⇒ -4d³ + 8d⁻²  ;

The degree of the polynomial is 3, because it is the highest power of the variable "d" in the polynomial "-4d³ + 8d⁻²" .

The leading coefficient of the polynomial is "-4" , because it is the coefficient of the term with the highest degree.

The polynomial has 2 terms, so it is a binomial.

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The given question is incomplete , the complete question is

Write the polynomial " 8d⁻² - 4d³ " in standard form. Identify the degree and leading coefficient of the polynomial. Then classify the polynomial by the number of terms.

With the given compound interests, Investment B results in greatest total amount.

What exactly is compound interest?

Compound interest is interest charged on a loan or deposit. It is the most widely utilised idea in our everyday lives. The compound interest for an amount is determined by both the principal and the interest earned over time. This is the primary distinction between compound and simple interest.

Compound interest calculation formula:

A=P(1+r/n)ⁿˣ

Where,

A Equals Amount

P stands for principal.

r = interest rate

n is the number of times interest is compounded each year.

x = time (in years)

Alternatively, the formula may be written as follows:

CI = A – P

Where CI stands for Compound Interest.

Now,

For A

principal = $3000, Rate = 7% compounded semiannualy and time = 7 years

amount=3000(1+7/200)¹⁴

A=3000*1.61

=$4856

For B

 principal = $5000, Rate = 3.2% compounded quaterly and time = 4 years

amount = 5000(1+3.2/400)¹⁶

A=5000*1.13

=$5680

hence,

           Investment B results in greatest total amount.

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The number of vegetable seeds Frank is going to plant is 3b + 1

From the question, we are to determine the number of vegetable seeds Frank is going to plant on the gardens

From the given information, we have that

"Frank in going to plant b vegetables in one garden"

and

"2b+1 vegetables seeds in a another"

To determine the number of vegetable seeds he would be planting in the gardens, we would find the sum of the vegetable seeds he is planting in the first garden and the second garden

That is,

b + (2b + 1)

= b + 2b + 1

= 3b + 1

Hence, the number of seeds is 3b + 1

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Answer:

Let's call Akanksha's present age "x". After 42 years, her age will be "x + 42". And, as stated in the problem, her age after 42 years will be 4 times her present age, so:

x + 42 = 4x

Solving for x, we can isolate x on one side of the equation:

x + 42 = 4x

3x = 42

x = 14

So Akanksha's present age is 14 years old.

The mean score of all the ninth graders in the city is equal to 81.84 ( round to two decimal places )

Number of schools in the city = 3

Result of the mean score of the ninth grade students are

Glenwood     78       269

Central City   93       321

Lincoln High  66       161

Given mean score by PR manager = 81

Correct mean score is calculated as

= ( 78 × 269 + 93 × 321 + 66 × 161 ) / ( 269 + 321 + 161 )

= ( 20982 + 29853 + 10626 ) / 751

= 61461 / 751

= 81.84 ( round to two decimal places )

Therefore, the mean score of the ninth grade students of all the schools in the city is given by 81.84 ( round to two decimal places ).

The above question is incomplete , the complete question is:

In a city with three high schools, all the ninth graders took a Standardized Test, with these results: High School Mean score on test Number of ninth graders

Glenwood     78       269

Central City   93       321

Lincoln High  66       161

The city's PR manager, who never took statistics, claimed the mean score of all ninth graders in the city was 81 . Of course, that is incorrect.

a. What is the mean score for all ninth graders in the city? Round to two decimal places.

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To translate the sentence into an equation, we can let c represent the value we want to find. The difference between c and 25 is 75, so we can write this as:

c - 25 = 75

To solve the equation, we can add 25 to both sides:

c - 25 + 25 = 75 + 25

c = 100

So the value of c is 100.