Please Help With Part 1 And 2I Need Word Answer For Both (2024)

The probability that Sam chooses either the day or the nightshiftis0.93.

What's probability?

Probability is a fine conception that measures the liability or chance of an event being. It's expressed as a number between 0 and 1, with 0 indicating that an event is insolvable, and 1 indicating that an event is certain.

Given to the question.

Since Sam can only choose moreover the day shift or the night shift, and the events" choosing the day shift" and" choosing the night shift" are mutually exclusive (i.e., they cannot do at the same time), we can use the addition rule of probability to find the probability that Sam chooses either the day or the night shift.

The addition rule states that the probability of the union of two events A and B, denoted as P (A or B), is given by.

P (A or B) = P(A) P(B)- P (A and B)

where P (A and B) is the probability of the crossroad of events A and B.

Since Sam cannot choose both the day and night shift, P (A and B) = 0. thus, the probability that Sam chooses either the day or the night shift.

The addition rule states that the probability of the union of two events A and B, denoted as P (A or B), is given by:

P (A or B) = P(A) + P(B) - P (A and B)

where P (A and B) is the probability of the intersection of events A and B.

Since Sam cannot choose both the day and night shift, P (A and B) = 0. Therefore, the probability that Sam chooses either the day or the night shift is:

P (day or night) = P(day) + P(night) - P (day and night)

P (day or night) = 0.9 + 0.03 - 0

P (day or night) = 0.93

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Answer: 240 hours

Step-by-step explanation: Monday through Thursday is 4 days, 5 people work 12 hours per day = 60 hours a day, 4 days x 60 hours = 240 hours worked in total.

Answer:

 i don't

Step-by-step explanation:just needed more points lol

Part A: The equation that can be used to determine the value of x is

(3x +7°)+(5x +3°)= 90°

Part B: The value of x = 10°

Part C: The measure of the angle of the second rocket launch in relation to Earth is 53°

Define an Angle.

When two lines meet at a certain point, then they produce an angle. The "opening," also referred to as the distance between these two rays, is quantified as a "angle." It is represented by this ∠ character. For describing the circularity or rotation of an angle, degrees and radians are typically utilized. A right angle is one with a length of 90°. There is a right angle that is obvious because it looks like the letter L.

Let the first rocket be R1.

Let the second rocket be R2.

They blast from a point on Earth, let that point be E.

Let O be a point of observation on the Earth.

Given, the first rocket blasts off at an angle of 90° from earth.

So, the angle created by R1 with the ground with respect to O,

∠R1EO = 90°

∠R1ER2 is given as 3x + 7°

∠R2EO is given as 5x + 3°

So, the equation that is derived here as per the right-angle rule is

(3x +7°)+(5x +3°)= 90°

Now solving the equation, we can get the value of x.

3x+7°+5x+3°=90°

⇒8x+ 10°= 90°

Subtracting both sides by 10°

⇒8x = 80°

Now dividing 8 from both sides, we get

⇒x = 10°

Now to find the angle of the second rocket launch in relation to Earth

i.e., ∠R2EO we can put the value of x.

∠R2EO=5x + 3°

=5×10° + 3°

=53°

Therefore, the value of the angle of the second rocket launch in relation to Earth is 53°.

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The sample standard deviation is 10.

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

We know that the raw score of 83 corresponds to a z-score of -1.5. We also know that the formula for calculating a z-score is:

z = (X - μ) / σ

where X is the raw score, μ is the population mean, and σ is the population standard deviation.

Substituting the given values into the formula, we get:

-1.5 = (83 - 98) / σ

Simplifying, we get:

-1.5σ = -15

Dividing both sides by -1.5, we get:

σ = 10

Therefore, the sample standard deviation is 10.

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Answer:3

Step-by-step explanation:

-2*0+3=3

Answer:

49a²b² - 9c²

Step-by-step explanation:

(7ab+3c)(7ab-3c)

= 49a²b² - 21abc + 21abc - 9c²

= 49a²b² - 9c²

So, the answer is 49a²b² - 9c²

Answer: 49a²b² - 9c²

Step-by-step explanation:

We will apply the difference of two squares formula:

(7ab+3c)(7ab-3c)

(7ab)² - (3c)²

49a²b² - 9c²

Answer:

1. Overmixing the batter.

2. Not lining or greasing the pan.

3. Overfilling the muffin cups.

4. Overbaking or underbaking the muffins.

there are many ways to mess up making muffins,

Hope this helps!

If not tell me and I'll fix it!

Thank you!

Answer:

overmixing the batter.

2. Not lining or greasing the pan.

3. Overfilling the muffin cups.

4. Overbaking or underbaking the muffins.

5. don't drown it when it comes to put any liquid

The amount that the company should put on average for a gallon across the operations is $ 3.70. This option D is correct.

What does the trucking operations of the company?

The company of trucks runs operations in several countries as per the table each region has distinct scores of probability and as the company that is farthest from the market has more wages as compared to that is the nearest

The percentage is 100 and probability counts as compared to one. Thus 50% is 0.50. If assuming X is the cost of fuel then using the formula we get.

[tex]Mean=E(X)=f(xi)xi[/tex]

E(X) = 3.10 x 0.2 +3.5 x 0.3 +4.05 x 0.5 = 3.69 that is 3.70 dollars.

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The company should budget on average $3.53 for a gallon of fuel across its operations.

To calculate this, we can use the weighted average formula:

(0.2 x $3.10) + (0.3 x $3.50) + (0.5 x $4.05) = $0.62 + $1.05 + $2.03 = $3.70

Therefore, the average fuel cost is $3.70 per gallon. Rounded to the nearest cent, this is $3.53.

What is Gallon ?

A gallon is a unit of size used to degree quantity, especially inside the context of fluids. It's miles normally used in the U.S.A. And a few other international locations, but isn't used within the metric system. One gallon is equal to 128 fluid oz. Or three.785 liters. It's far used to degree portions of liquids, including gasoline, milk, and water. In the context of fuel fees, the fee according to gallon is used to calculate the overall price of filling up a car's fuel tank. The gallon is an important unit of measurement in many industries, together with transportation and agriculture.

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Answer:

n - 1

Step-by-step explanation:

If we start by 1, we are then going 0, -1, -2, -3, etc. judging by the pattern of the sequence of numbers

Answer:

Step-by-step explanation:

a

Using simple interest formula, the grandmother deposited $7000 into the account.

What is the amount the grandmother deposit in the account

We can use the formula for simple interest to solve the problem:

I = P * r * t

where I is the interest earned, P is the principal (the amount deposited), r is the interest rate (as a decimal), and t is the time (in years).

In this case, we know that r = 0.03 (3% expressed as a decimal) and t = 12 years. We also know that I = $2,520. Therefore, we can solve for P:

P = I / (r * t) = $2,520 / (0.03 * 12) = $7,000

Therefore, Mike's grandmother deposited $7,000 in the account.

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The probability that a randomly chosen student is not employed given that they are job searching is 9/23.

What is the probability that a randomly chosen person is not employed despite job searching

The probability of a student not being employed given that they are job searching is given by the conditional probability:

P(not employed | job searching) = P(not employed and job searching) / P(job searching)

We can find the probabilities for the numerator and denominator from the table:

P(not employed and job searching) = 18

P(job searching) = 46

Therefore, the conditional probability is:

P(not employed | job searching) = 18 / 46

We can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 2:

P(not employed | job searching) = 9 / 23

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The general solution to the equation cos²x - Sin²x = √3/5 is x = 2nπ ± arcsin(√3/5) where n is any integer.

To solve the equation, first use the double-angle formula for cosine, cos²x = 1 - sin²x, to rewrite it as 1 - sin²x - sin²x = √3/5. Then subtract 1 from both sides and isolate the sine term to get -2sin²x = -1 + √3/5.

Next, take the square root of both sides, giving -2sinx = ±√(1 - √3/5). Then divide both sides by -2, resulting in sinx = ±√3/5.

Finally, use the inverse sine function to find x = 2nπ ± arcsin(√3/5). Here, n is any integer.

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Answer: 1.5; 2/3

Step-by-step explanation: Find the ratios to answer both questions. For the first one it is the ratio between soy sauce and vinegar so you would find the ratio of when there is one unit of soy. When you divide both sides to even out, you will get 1.5 milliliters for the answer. Do the same thing for the next one and you get 2/3 or 0.66666.....

Answer:

see explanation

Step-by-step explanation:

the nth term of an arithmetic progression is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = 1 , d = a₂ - a₁ = 8 - 1 = 7 and [tex]a_{n}[/tex] = 78 , then

1 + 7(n - 1) = 78 ( subtract 1 from both sides )

7(n - 1) = 77 ( divide both sides by 7 )

n - 1 = 11 ( add 1 to both sides )

n = 12

that is there are 12 terms in the progression.

from above

[tex]a_{n}[/tex] = 1 + 7(n - 1) = 1 + 7n - 7 = 7n - 6

then nth term is

[tex]a_{n}[/tex] = 7n - 6

Answer: 1 hour and thirty-nine minutes

Step-by-step explanation: 10:49 + 1 hour and thirty-nine minutes = 11:28

The area of the parallelogram is given as follows:

421 and 7/8 ft².

How to obtain the area of a parallelogram?

The area of a parallelogram is given by the multiplication of the base of the parallelogram by the height of the parallelogram, that is:

A = bh.

The parameters for this problem are given as follows:

b = 22 and 1/2 ft = 45/2 ft.h = 18 and 3/4 ft = 75/4 ft.

Hence the area is given as follows:

A = 45/2 x 75/4

A = 3375/8 ft².

A = 421 and 7/8 ft².

(3375 divided by 8 has a quotient of 7 and a remainder of 8, which is the reason for the mixed number notation).

Hence the second option is the correct option.

Missing Information

The parallelogram is given by the image presented at the end of the answer.

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The inverse of the function h(x)=3/4x+12 is h^-1(x)=(4x-48)/3.

The inverse of a function is found by switching the x and y variables and solving for y. In this case, the inverse of the function h(x)=3/4x+12 can be found by following these steps:

1. Switch the x and y variables:

x = 3/4y + 12

2. Isolate the y variable on one side of the equation:

x - 12 = 3/4y

3. Multiply both sides of the equation by 4/3 to get y alone:

(4/3)(x - 12) = y

4. Simplify the equation:

(4x - 48)/3 = y

5. Rewrite the equation with y on the left side:

y = (4x - 48)/3

Therefore, the inverse of the function h(x)=3/4x+12 is h^-1(x)=(4x-48)/3.

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The which relationship represents a function with a lesser rate of change than the function graphed is y=3x+2, the correct option is D.

How to find the function which is used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that;

The graph of straight line

Now,

The slope-intercept form of a linear function is y = mx + b, where m is the slope and b is the y-intercept. We can rearrange the equation 4x+y=5 into slope-intercept form by solving for y:

y = -4x + 5

So, the slope of this function is -4.

In general, any linear function of the form y = mx + b, where m is a number between -4 and 0, will have a smaller rate of change than 4x+y=5.

y=3x+2

Therefore, by the graphed function the answer will be y=3x+2.

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Answer:

x = -10/3 is the solution.

The time of 6:10 can best be described as Sue's best or fastest time in the mile race.

In the experiment defined by the gym teacher, Sue was required to run the mile race three times. This implies that she ran the same distance under the same conditions (in the gym class) three times. By doing so, Sue was able to record her times for each of the three runs.

Of the three times, Sue's fastest time was 6:10. This means that out of all the times she recorded, 6:10 was the shortest and thus the best time that she achieved in the mile race.

It is important to note that the context of the experiment defined by the gym teacher is limited to the gym class and the three runs that Sue made during that class.

It is possible that Sue may have run faster times outside of the gym class, or in a different running context. However, within the context of the gym class experiment, 6:10 represents her best or fastest time in the mile race.

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Answer:

(9,88)

Step-by-step explanation:

If f(x) is an exponential function where (−2.5)=7 f(−2.5)=7 and f(3)=60, the value of f(5) = 135.13

What is an exponential function?

The mathematical expression f(x)=exp or eˣ is used to represent the exponential function. Unless otherwise stated, the word normally refers to the positive-valued function of a real variable, but it can be extended to the complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

For instance, exponential functions can be used to estimate population changes, loan interest rates, bacterial growth, radioactive decay, or the spread of disease.

Let, the exponential function is written as:

f(x) = abˣ

We are given the values of the function at x=-2.5 and x=3 as:

f(−2.5)=7

f(3)=60

therefore we can write:

ab^(-2.5) = 7 ................. (1)

ab³ = 60 ............ (2)

Now dividing equation (2) by (1) we get:

ab³ / ab^(-2.5) = 60 / 7

or, b^(3 + 2.5) = 60 / 7

or, b^(5.5) = 60/7

or, b = e^((1/5.5) ln(60/7))

or, b = 1.478

Now a is given as:

a (1.478)^(-2.5) = 7

a = 18.587

Now the function is written as:

f(x) = 18.587 (1.487)ˣ

Substituting x=5 to get f(5):

f(5) = 18.587 (1.487)⁵

or, f(5) = 135.13

Thus, the value of f(5) = 135.13

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Answer:

n=0

Step-by-step explanation:

let the number be (n)

(a)

(n-3)×(-6)=18

(b)

to solve for n open the bracket;(n-3)×-6=18-6n+18=18collect like terms-6n=18-18-6n=0divide both sides by -6-6n/-6=0/-6n=0

Answer:

Step-by-step explanation:

3

Answer:

4/5

Step-by-step explanation:

72/90

Simplify by 9, and we get

8/10

Continue simplify by 2, we get

4/5

So, the answer is 4/5

Answer: 11/30

Step-by-step explanation:

If Alexa's family drove 1/6 of the trip on the first day, and 1/5 of the trip on the second day, the total distance they have driven can be found by adding these fractions:

1/6 + 1/5

To add these fractions, we need to find a common denominator:

1/6 + 1/5 = 5/30 + 6/30 = 11/30

So the family has completed 11/30 of the trip.

Note that this prompt is designed to test ones knowledge on cosigners and loans. See the correct responses below.

What are the correct responses to the questions?

The correct definition of a cosigner for a loan is "Someone who will promise to pay a loan if the borrower doesn’t." (Option C)Sarah's late payments affect her character and make her unable to cosign for Chris. (Option D)The correct definition of capacity for potential cosigners is "The cosigner’s current financial situation." (Option D)Lenders evaluate if a borrower or cosigner will pay them back based on capacity, collateral, and character. (Option A)The correct definition of character for potential cosigners is "The cosigner’s past record of paying on time." (Option A)A borrower may get a cosigner for a loan if they can’t qualify for a loan by themselves. (Option A)The correct definition of collateral for potential cosigners is "The cosigner’s financial assets, such as a house or car." (Option A)A person with a steady job would be a good cosigner. A person with a good credit history and a car and house (option B).

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