A student is taking a multiple-choice exam in which each question has four choices. Assume that the student has no knowledge of the correct answers to any of the questions. She has decided on a strategy in which she will place four balls (marked A, B, C, and D) into a box. The marking on the ball will determine her answer to the question. There are 15 multiple choice questions on the exam. What is the probability that she will get:
a. 11 questions correct?
b. At least five questions correct?
c. No more than 3 questions correct?
d. At least 3 but no more than 8 questions are correct?

Answer:

37

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

You can use absolute value to solve this. l-12l+l25l=12+25=37

Absolute value is the distance from 0.

Answer:

81.5

Step-by-step explanation:

<G and <H are congruent

<F and <I are congruent

so the last two angles in both triangles must also be congruent

this means that <K and <J are congruent

so we can create this equation: <K = <J

substitute the angles with what we know: 4\(y^{2}\) = 6\(y^{2}\) - 40

add 40 to both sides and subtract 4\(y^{2}\) from both sides: 40 = 2\(y^{2}\)

you get: 20 = \(y^{2}\)

root square on both sides: \(\sqrt{20}\) = \(\sqrt{y^{2} }\)

you get: y ≈ 4.5

substitute this into one of the equations for a missing variable:

6\(y^{2}\) -----> 6 (4.5 x 4.5) - 40

6 ( 20.25) - 40

121.5 - 40

81.5

Answers:

===========================================================

Explanation:

Straight angles are always 180 degrees in measure.

The two smaller angles shown add up to 180

(angle RQS) + (angle SQT) = angle RQT

(9x+7) + (6x+8) = 180

(9x+6x) + (7+8) = 180

15x+15 = 180

15x = 180-15

15x = 165

x = 165/15

x = 11

From here, we then know that,

Note how the two results add to 106+74 = 180 to help confirm the answers.

Answer:

160,000,000,000,000

Step-by-step explanation:

M= 200,000,000,000,000

P= $40,000,000,000,000

200,000,000,000,000 - 40,000,000,000,000=

160,000,000,000,000

All you have to do is do 10x10 14/13 times or cause it's 10 just add 14/13 zeros

Answer:

(2×10^14)/(4×10^13) = 5

Star M is 5 times farther from earth than Star P.

Answer:

36/5 as a decimal is 7.2

Step-by-step explanation:

In the fraction 36/5, 36 is the numerator and 5 is the denominator, the fraction bar means "divided by". Therefore, the fraction 36/5 is same as "36 divided by 5" or "36 ÷ 5".

When we calculated 36 divided by 5, we found that 36/5 in decimal form is:

36 ÷ 5 = 7.2

Therefore, the decimal form of 36/5 is 7.2

The function that provides the height of the stack of cups based on any number of cups is height(n) = 7.5 + 1.5(n-1)

Let's assume that the height of one cup is 7.5 inches.

When we add the second cup, the bottom of the second cup rests on the top of the first cup, including the 1.5" lip.

Therefore, the height of the second cup is 7.5 inches plus 1.5 inches, or 9 inches.

When we add the third cup, the bottom of the third cup rests on the top of the second cup, including the 1.5" lip.

Therefore, the height of the third cup is the height of the first two cups plus 1.5 inches, or 16.5 inches.

The function we get by continuing this pattern for any number of cups n by using the formula:

height(n) = 7.5 + 1.5(n-1)

Therefore, the function that provides the height of the stack of cups based on any number of cups is height(n) = 7.5 + 1.5(n-1)

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Answer:

Domain; -5,9

Range; -3,-1

the triangle's centroid is located at these coordinates (1, 10).

We utilize two numbers to define the horizontal (x) and vertical (y) locations when using coordinates to find a point on a coordinate plane. A coordinate pair's first number indicates how far to move left or right from the origin, while its second number indicates how far to move up or down.

Given triangle with the vertices X(-3, 15) Y(1,5), Z(5, 10)​.

To find the Centroid of this triangle

Since the centroid is the center point of the object. The point at which the three medians of the triangle intersect is known as the centroid of a triangle.

thus, x-Coordinate of centroid of the triangle = (-3 + 1 + 5)/3

x-Coordinate of the centroid of the triangle = 1

y-Coordinate of centroid of the triangle = (15 + 5 + 10)/3

y-Coordinate of the centroid of the triangle = 10

therefore, the Coordinates of the centroid of the triangle are (1, 10).

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Answer:

1 2 5

Step-by-step explanation:

right I got it right on the test

Answer:

4 1/4.

Step-by-step explanation:

First convert to improper fractions:

1 3/4 = (4*1 + 3)/4 = 7/4

2 1/2 = (2*2 + 1)/2 = 5/2

So it becomes:

7/4 + 5/2

The LCM of 2 and 4  is 4 so we write:

7/4 + 10/4

= 17/4

Now convert this to a mixed number:

17 / 4 = 4 remainder 1

So the answer is 4 1/4.

Answer:

4¼ is the answer

Step-by-step explanation:

\( \\ 1 \frac{3}{4} + 2\frac{1}{2} \)

\( \\ \rightarrow \frac{7}{4} + \frac{5}{2} \)

\( \\ \rightarrow\frac{7 + 10}{4} \)

\( \\ \rightarrow \frac{17}{4} \)

\( \\ \rightarrow 4\frac{1}{4} \)

As we can see 17/4 is not divisible by 4 so if we divide it we will get decimal number or mixed number and we need the answer in mixed number so the number 4¼ is in the simplest form and is the answer.

Hope it's helpful!

Answer: 0.5 liters

Step-by-step explanation:

0.75*2=1.5

2-1.5=0.5

The recursive formula which is used to determine the total amount of time spent making hats based on the total amount of time spent previously is f(n+1)=f(n)+0.75. The correct option is B.

Given the time spent by making a hat is shown in attached image.

We have to find the recursive formula which is used to satisfy the given condition.

A recursive formula relates each term in the sequence to the previous term in the sequence. This is different from the explicit expression.

As it is given that f(1)=1.5, f(2)=2.2.5, f(3)=3.0 and f(4)=3.75

According to the definition of recursive formula, we will firstly find the difference between f(2) and f(1), we get

f(2)-f(1)=2.25-1.5

f(2)-f(1)=0.75

f(2)=f(1)+0.75,

Now, we will find the difference between f(3) and f(2), we get

f(3)-f(2)=3.0-2.25

f(3)-f(2)=0.75

f(3)=f(2)+0.75,

Similarly, we will find for others.

.....

f(n+1)=f(n)+0.75

This is the arithmetic sequence with common difference 0,75.

Hence, according to the question, the recursive formula can be used to determine the total amount of time spent making hats based on the total amount of time spent previously is f(n+1)=f(n)+0.75.

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Answer: the simplest for is -4.25

Step-by-step explanation:

Answer: 100 Kilometers = 62.1371192 Miles

Step-by-step explanation: Each kilometer is about 2 miles

The value of 100 kilometers in miles is 62.1 miles.

What is Kilometer ?

Kilometer is a quantity which is used to measure the distance by the given information.

Given

To find , 100 kilometers is equal to how many miles.

So we know that,

1 kilo meter = 0.621

So,

for 100 kilo meters we have to multiply with 0.621 approx

so we get,

100 kilo meters = 100*0.621

= 62.1 miles

SO, 100 kilo meters = 62.1 miles

Therefore, The value of 100 kilometers in miles is 62.1 miles.

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The distance from the earth to venus is an illustration of the sine ratio

The distance from the earth to venus at that time is 1.12 au

See attachment for the diagram that illustrates the complete question.

Start by calculating the angle V using the following sine ratio

SE/sin(V) = VS/sin(E)

This gives

1/sin(V) = 0.723/sin(39.4)

Take the inverse of both sides

sin(V)/1 = sin(39.4)/0.723

Evaluate the quotient

sin(V) = 0.8779

Take the arcsin of both sides

V = 61.4

Calculate the measure of angle S

<S + <V + <E = 180

This gives

<S  = - <V - <E + 180

Substitute known values

<S  = -61.4 - 39.4 + 180

<S  = 79.2

The distance (VE) is then calculated using the following sine ratio

VE/sin(S) = VS/sin(E)

This gives

VE/sin(79.2) = 0.723/sin(39.4)

Multiply bot sides by sin(79.2)

VE = sin(79.2) * 0.723/sin(39.4)

Evaluate the product

VE = 1.12

Hence, the distance from the earth to venus at that time is 1.12 au

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Answer: The answer is 3

Step-by-step explanation:

Step-by-step explanation:

8x + y = -16

y = -8x - 16 --(1)

-3x + y = -5 --(2)

sub (1) into (2):

-3x - 8x - 16 = -5

-11x = 11

x = -1

sub x = -1 into (1):

y = -8(-1) - 16

y = -8

therefore, the solution is (-1, -8).

Topic: coordinate geometry

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Cameron's mom paid a sales tax of 8.5% on the puzzle.

Based on the given data provided, Cameron's mom paid a sales tax of $0.85 on the puzzle she purchased for $10.00.

A sales tax is a tax on the sale of goods or services and is usually calculated as a percentage of the purchase price. The percentage of sales tax can vary depending on the state or country where the purchase was made.

In this case, the tax rate can be calculated by dividing the tax amount ($0.85) by the cost of the puzzle ($10.00):

Tax rate = Tax amount / Cost of puzzle

= $0.85 / $10.00

≈ 0.085 or 8.5%

Therefore, Cameron's mom paid a sales tax of 8.5% on the puzzle.

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Correct Question:

Cameron's mom bought him a new puzzle. The puzzle cost her $10.00 and she also had to pay $0.85 in tax. What kind of tax did Cameron's mom pay?

Answer:

814

Step-by-step explanation:

A=2(wl+hl+hw)

=2((11×22)+(5×22))+(5×11))

= 814

verage number of days per week Jackson goes to gym, is calculated to be 2.05. Probability that he goes 0 days per week is 0.1, but probabilities for going 2 and 3 days are not provided.

To determine the probabilities of Jackson going to the gym 2 or 3 days per week, we can use the concept of expected value. The expected value is calculated by multiplying each possible outcome by its corresponding probability and summing them up. In this case, we have the expected value of 2.05, which means that on average, Jackson goes to the gym 2.05 days per week.

Let's denote the probability that Jackson goes to the gym 2 days per week as p and the probability that he goes 3 days per week as q. Given that the probability of going 0 days per week is 0.1, we can subtract this probability from 1 to find the combined probability of Jackson going either 2 or 3 days per week.

1 - 0.1 = p + q

Since the expected value is the sum of each outcome multiplied by its probability, we can set up the following equation:

2.05 = 0 * 0.1 + 2 * p + 3 * q

Simplifying this equation, we get:

2.05 = 2p + 3q

Now we have a system of two equations:

1 - 0.1 = p + q

2.05 = 2p + 3q

By solving this system of equations, we can find the values of p and q, which represent the probabilities of Jackson going 2 and 3 days per week, respectively.

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To make parallelogram WXYZ a square, the following conditions must be met:

1. All four sides of the parallelogram must have equal length.

2. The angles between adjacent sides must be 90 degrees.

Since a square is a special type of parallelogram with all sides equal and all angles equal to 90 degrees, we can determine the value of m that would make WXYZ a square by ensuring that these conditions are met. To find the value of m, we need more information about the dimensions or properties of the parallelogram WXYZ. Please provide additional details or measurements related to the parallelogram. The diagonals of a square are equal in length and bisect each other at 90-degree angles. The perimeter of a square is the sum of all four sides, and the area of a square is calculated by squaring the length of one side.In order for parallelogram WXYZ to be a square, it must have congruent sides and right angles at each vertex.

Since opposite sides of a parallelogram are congruent, we can equate the lengths of adjacent sides to find the value of m that would make it a square.

Let's assume that WX and XY are adjacent sides of the parallelogram.

If WX = XY, then the parallelogram would have congruent sides.

Let's say WX = m and XY = m.

To form a square, the angles at each vertex must be right angles. This means that WX and XY must be perpendicular to each other.

In a square, opposite sides are parallel, so the slopes of WX and XY must be negative reciprocals of each other.

The slope of WX can be represented as (change in y) / (change in x). Since it is perpendicular to XY, its slope will be the negative reciprocal of the slope of XY.

Let's assume the slope of XY is denoted as a. Then the slope of WX would be -1/a.

We can now equate the slopes of WX and XY:

-1/a = (change in y) / (change in x)

Simplifying this equation, we get:

a = -1

Therefore, the slope of XY is -1.

Now, we can equate the lengths of WX and XY:

m = m

Since WX = XY and both sides have length m, we can say that m = m.

So, any value of m would make parallelogram WXYZ a square as long as the sides WX and XY are congruent and perpendicular to each other, with a slope of -1.

hence, the value of m = -1.

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To find the average rate of speed of the wind and the plane, we can use the formula: distance = rate × time.  Therefore, the average rate of speed of the wind is P/3.5, and the average rate of speed of the plane is P.

we have the equation: distance = (P + W) × 1/3. On the return trip against the headwind, the effective speed of the plane is the difference between the plane's rate and the wind's rate: P - W. Given that the time taken is 3/5 hour, we have the equation: distance = (P - W) × 3/5. Since the distance traveled is the same in both cases, we can set up the following equation: (P + W) × 1/3 = (P - W) × 3/5.

On the left side, we have (P + W) × 1/3 = (P/3) + (W/3).
On the right side, we have (P - W) × 3/5 = (3P/5) - (3W/5).
Simplifying further, we have 5W + 9W = 9P - 5P.
Combining like terms, we get 14W = 4P.
Finally, we can divide both sides by 4 to solve for W: W = P/3.5.

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Explanation

Step 1

find 2 coordinates, you can make a table.

a) when x= 0

b) when x=4

Step 2

draw a line using the coordinates we found.

I hope this helps you

Answer:

I hope this helps:)

Step-by-step explanation:

Answer:

isosceles

Step-by-step explanation:

▪︎ Isosceles triangle is a triangle that has two sides of equal length.

The lower bound for the 99% confidence interval for the difference between clones and their original plants is -10.58 cm.

To calculate the confidence interval, we can use the formula:

\(CI = X - t * (s / \sqrt{n})\)

Where X is the sample mean difference (-5.2 cm), t is the critical t-value for a 99% confidence level with 14 degrees of freedom (since there are 15 pairs of plants and we are estimating the difference between the means), s is the sample standard deviation (6.7 cm), and n is the sample size (15 pairs).

Using a t-table or calculator, we find that the critical t-value is 2.977. Plugging in the values, we get:

\(CI = -5.2 - 2.977 * (6.7 / \sqrt{15}) = -10.58\)

Therefore, we can be 99% confident that the true mean difference between the clones and the original plants is at least -10.58 cm.

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The probability of getting shirts is 1/2 or 0.5 if the box contains 3 shoes, 7 pants and 10 shirts.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have:

A box contains 3 shoes, 7 pants and 10 shirts.

Total number of outcomes = 3+7+10 = 20

Total number of shirts(favourable outcomes) = 10

Probability = 10/20 = 1/2 = 0.5

Thus, the probability of getting shirts is 1/2 or 0.5 if the box contains 3 shoes, 7 pants and 10 shirts.

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We are going to use the circumference equation with a radius of 3 m( The radius is half the diameter)

C = π*2*r

C= π*2*(3m) (Replacing the radius)

C= 18.85 m (Multiplying)

The answer is 18.85 m.

Answer:

y/( 3b-7)=x

Step-by-step explanation:

y=3bx-7x

Factor out x

y=(3b-7)x

Divide each side by (3b-7)

y/( 3b-7)=(3b-7)x/ ( 3b-7)

y/( 3b-7)=x

Answer:

\(\huge \boxed{x= \frac{y}{3b-7} }\)

Step-by-step explanation:

\(\sf y=3bx-7x\)

Factor out x from the expression.

\(\sf y=x(3b-7)\)

Divide both sides by (3b - 7).

\(\sf \displaystyle \frac{y}{3b-7} =x\)

Answer:

20x - 21y + 14

Step-by-step explanation:

1/5(150x - 80y + 50 - 50x- 25y + 20)

Step 1 - Distribute

1/5 • 150x = 30x

1/5 • (-80y) = -16y

1/5 • 50 = 10

1/5 • (-50x) = -10x

1/5 • (-25y) = -5y

1/5 • 20 = 4

Step 2 - Combine Variables

30x - 10x = 20x

-16y - 5y = -21y

10 + 4 = 14

Step 3 - Arrange the Set of Numbers

20x - 21y + 14

This is the simplified expression, I know it is correct, I doubled checked on my expression calculator.