2 1/4 x 3 2/3 as a fraction

The probability that no more than three are enrolled in college or university is P(x≤3)=(C⁵ₓ(0.63)ˣ(0.37)⁵⁻ˣ

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true. The probability of an event is a number between 0 and 1, with 0 indicating impossibility and 1 indicating certainty.

When we are confused about the outcome of an event, we might discuss the probabilities of certain outcomes—how likely they are. Statistics is the study of events that are guided by probability.

Probability (P) = 0.63

n= 5

By using binomial distribution,

We know that,

P(x=x)= Cⁿₓ(p)ˣ(1-p)ⁿ⁻ˣ

P(x≤3)=(C⁵ₓ(0.63)ˣ(0.37)⁵⁻ˣ

The probability that no more than three are enrolled in college or university is P(x≤3)=(C⁵ₓ(0.63)ˣ(0.37)⁵⁻ˣ

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The value of the number is 12

Note that algebraic expressions are expressions composed of terms, coefficients, variables, constants and factors.

They are also made up of arithmetic operations like addition, multiplication, division, subtraction, bracket, parentheses, etc

From the information given, we have that;

Let the number be x

3(x + 7) = 6x - 24

collect the like terms

3x + 21 = 6x - 24

3x - 6x = -24 - 21

subtract the terms

-3x = - 35

Make 'x' the subject of formula

x = 12

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Using the given information, we can calculate the z-score as z = (56.4 - 67.6) / 3.5, which gives us a z-score of -2.3. This means that 2.3 standard deviations below the mean of adult men's heights is the doorway height of 56.4 inches. Since the area under the normal curve from -∞ to -2.3 is 16%, this means that 84% of adult men can fit through the door without bending.

Using the given information and the desired percentage, we can calculate the z-score as z = (x - 67.6) / 3.5, where x is the doorway height. Solving for x, we get x = 57.6 inches. Therefore, a doorway height of 57.6 inches would allow 40% of adult men to fit through without bending.

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The relationship between the lines and the number of region is an illustration of a linear equation.

35 concurrent lines divide the plane into 70 regions

From the complete question (see attachment), we have the following observations

Using the above sequence as a guide, the number of regions for n lines is:

\(\mathbf{f(n) = 2n}\)

So, when \(\mathbf{n = 35}\); i.e. 35 lines

The number of region is:

\(\mathbf{f(35) = 2 \times 35}\)

\(\mathbf{f(35) = 70}\)

This means that:

35 concurrent lines divide the plane into 70 regions

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Answer:

c

Step-by-step explanation:

Answer:

12!

Step-by-step explanation:

Heya! What you're searching for is the value of x that would bring you to -8. 4 minus the value of x is what would get you to -8, so I simply plugged 12 in for the value of x. 12 subtracted from 4 gives you -8, so I hope that this helped! (Please mark as brainliest if I was right <3)

Answer:

Step-by-step explanation:

4 - x = -8

or. -x = -8 - 4

or. -x = -12

or. x = 12

Answer:

200

Step-by-step explanation:

please mark as brainliest if correct

thank you

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The slope of the given line is Zero as it is parallel to x - axis ~

Answer:

can show the full question i can't understand

Answer:

I. think it is12, 6, 2, 1

The percent of coal with sulfur content exceeding 2.25 is approximately 21.35%. If the target sulfur value is changed to 1.45, the effect on the percent of coal accepted by the utility company will be explained in Step 2.

To determine the percent of coal with sulfur content exceeding 2.25, we need to calculate the z-score for the target sulfur value of 1.65 using the formula:

z = (x - μ) / σ

where x is the target sulfur value, μ is the mean sulfur value, and σ is the standard deviation.

Given that the target sulfur value is 1.65, the standard deviation is 0.617, and assuming the mean sulfur value is 2.25 (as the utility company will not use coal with sulfur content above this value), we can calculate the z-score:

z = (1.65 - 2.25) / 0.617

 ≈ -0.972

Using a standard normal distribution table or calculator, we can find the area to the left of this z-score, which represents the percentage of coal with sulfur content below 2.25. In this case, the area to the left of -0.972 is approximately 0.1667.

To find the percent of coal in the category with sulfur content exceeding 2.25, we subtract the above value from 1 (since the total percentage must add up to 100):

Percent = 1 - 0.1667

       ≈ 0.8333 or 83.33%

Now, if the target sulfur value is changed to 1.45, we repeat the same calculations. Using the new target value, the z-score can be calculated as:

z = (1.45 - 2.25) / 0.617

 ≈ -1.297

Again, finding the area to the left of -1.297 in the standard normal distribution, we obtain approximately 0.0968. Subtracting this value from 1 gives us the new percent of coal in the category with sulfur content exceeding 2.25:

New Percent = 1 - 0.0968

          ≈ 0.9032 or 90.32%

Therefore, changing the target sulfur value to 1.45 increases the percent of coal accepted by the utility company to approximately 90.32%.

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Answer:

Below

Step-by-step explanation:

How many ounces of fish are needed to provide 60 gm of protein?

20 gm / 3 oz  * 9 oz = 60 gm

Answer:

Widyh = 8 units

Step-by-step explanation:

Perimeter = 2/width+length)

then:

48 = 2(W+L)

W = L-8

W = Width

L = Length

then:

48 = 2((L-8)+L)

48 = 2(2L88)

48 = 2*2L - 2*8

48 = 4L - 16

48 + 16 = 4L

64 = 4L

L = 64/4

L = 16

W = L-8

W = 16-8

W = 8

Check:

48 = 2(16+8)

48 = 2*24

Answer:

$14,145.95

Step-by-step explanation:

total  = 125+(1+5.5%) *13290 =14145.95

The volume of the balloon when the atmospheric pressure is 1.20 atm = 144.08 ml

We know that the Boyle's Law states that the pressure is inversely proportioal to the volume.

From Boyle's Law also states: PV = k

where P is pressure,

V is volume

and k = the proportionality constant

Using Boyle's law we get an equation,

P₁V₁ = P₂V₂

Let P₁ = 0.988 atm,

V₁ = 175 ml

P₂ = 1.20 atm

V₂ = ?

Substitute these values in above equation,

0.988 × 175 = 1.20 × V₂

V₂ = 172.9 / 1.20

V₂ = 144.08 ml

This is the required volume of balloon.

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The complete question is:

A weather balloon has a volume of 175 L when filled with hydrogen at a pressure of 0.988 atm. Calculate the volume of the balloon when the atmospheric pressure is 1.20 atm. Assume that temperature is constant.

Answer:

 1, 2, 3, 6, 9 and 18.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

first option, as the decrease percentage is applicated on a greater number than the original

e.g.

A

a= 10

B

10 + 50% = 15

15 - 50% = 7,5

A will be greater then B by 25%

There are 84 unique 4-digit integers (excluding leading zeros) whose sum of the digits is 6.

To find the number of unique 4-digit integers (excluding leading zeros) where the sum of the digits is 6, we can use a combinatorial approach.

Let's consider the four digits as four distinct positions: A, B, C, and D. The sum of the four digits is 6, so we need to distribute these six units among these four positions.

We can solve this problem using stars and bars. Imagine we have six stars (representing the six units) and three bars (representing the three dividers between the positions). The bars help us separate the units into four distinct positions.

For example, if we have the configuration "* | * * | * * | *," it represents the digits 1, 2, 2, and 1. The sum of these digits is 6.

The number of ways to arrange the six stars and three bars is given by the binomial coefficient (6 + 3 choose 3). Using the formula for combinations, we have:

(6 + 3) C 3 = (9 C 3) = 9! / (3! * (9 - 3)!) = 84.

So, there are 84 unique 4-digit integers (excluding leading zeros) whose sum of the digits is 6.

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Answer:

A vertical line has an undefined slope. So the equation x=−5 has no defined slope and no y-intercept

Step-by-step explanation:

The following equation is given using the PEMDAS order of operations and we get the solved expression as -1.

BODMAS, also known as PEMDAS, is an acronym used to remember the order of operations in mathematics. The letters in the acronym stand for:

B - Brackets

O - Order (exponents and roots)

D - Division

M - Multiplication

A - Addition

S - Subtraction

BODMAS tells us about the order in which to perform mathematical operations in an expression. This is important because performing the operations in the wrong order can give us a different answer than what is intended.

We start by evaluating 6(6), which is 36. Next, we combine 36 and 18 to get 54.

Finally, we subtract 55 from 54 to get -1.

Therefore, the answer to the expression 6(6) + 18 - 55 is -1, not 118.

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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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In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.

In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.

The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.

The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.

This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).

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The set 3 = y + 1 and x = -6 does not belong to the four sets of equations because it a linear equation with one variable.

Linear equation has only one variable. The linear equations in one variable is an equation which is expressed in the form of ax + b = 0, where a and b are two integers, and x is a variable and has only one solution

While simultaneous equations are two or more equations that are satisfied by the same set of values for the variables.

we can observe that the pairs;

y = 3x + 1

y = 3x - 1,

-2x + y = 2

-4x + 2y = 4 and,

y - 1 = 2(x + 4)

y + 3 = -5(x + 1)

all have more than one variable and can give the same set of values to satisfy for each pair.

But the set;

3 = y + 1 and x = -6 only have one variable each and will have only on solution.

In conclusion, only the set of equations 3 = y + 1 and x = -6 with one variable does not belong.

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Answer:

it's c. r ^ q

Step-by-step explanation:

I just did it in Edgy 2020

Answer:

Step-by-step explanation:

These are what the symbols mean so you can better understand them

p: I like to go to the beach

q: I like to eat ice cream

r: I do not enjoy rainy days

^ = means OR so a that has or in it.

v = means AND so any sentance with and in it

~ = not so any phrase that condridicts what the origional P,Q, and/or R

∴ = Therefore so any phrase with therefore.

So; p ∧ q would be P... OR... Q  acording to the key above would be

I ilke to go to the beach OR I like to eat icecream.

You can figure out the rest! Hope this helps you!

60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

According to the question,

We have the following information:

3 digits integers are to be made from 1,2,3,4 and 5

So, we will use permutation to find the possible number of digits that can be made if we apply all the given conditions.

Now, we have:

Total number of digits = 5

Number of digits to be made = 3

So, we have:

\(^{5} P_{3}\)

Solving this expression:

5*4*3

60

Hence, 60 positive integers of 3 digits may be made from the digit 1,2,3,4 and 5 if the digits are not repeated.

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The number of ways can arrange the songs on the CD will be 3,628,800.

A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.

Suppose Allen is going to burn a compact disk (CD) that will contain 10 songs.

Then the number of ways can arrange the songs on the CD will be given by 10 factorial.

⇒ 10!

⇒ 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1

⇒ 3,628,800

Thus, the number of ways can arrange the songs on the CD will be 3,628,800.

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\(a(1) = 240 \\ a(2) = a(1) + d = 240 + 24 = 264 \\ a(3) = a(2) + d = 264 + 24 = 288 \\ a(4) = a(3) + d = 288 + 24 = 312 \\ a(5) = a(4) + d = 312 + 24 = 336 \\ a(6) = a(5) + d = 336 + 24 = 360\)

Answer:

slope = 4/5

Step-by-step explanation:

Take any two points:

(5, 1) & (10, 5)

The slope

\(m=\frac{5-1}{10-5} =\frac{4}{5}\)

Hope this helps

Answer:

4/5 is the slope of the line