Can someone help me please ASAP.

If Tyrone bought a hat that cost $37.89 and spent a total of $83.39 , then the equation that represents the original cost of jersey is  "83.39 = 37.89 + 0.70x"  .

Tyrone purchased a basket ball jersey ;

the percent discount on the jersey is = 30% ;

le the original cost of jersey = $x ;

So , the cost of jersey after the discount is = 0.70x   ;

the price of the hat is = $37.89   ;

the total amount spent by Tyrone is = $83.39  ;

the total cost = price of hat + price of jersey after the discount

the equation that represents the original cost of jersey is

83.39 = 37.89 + 0.70x

0.70x = 83.39 - 37.89

0.70x = 45.5

x = 45.5/0.70

x = $65 .

Therefore , the original cost of jersey is $65 .

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The probability that at most two of the next six customers order fish is given as follows:

P(X ≤ 2) = 0.6365 = 63.65%.

The binomial distribution formula gives the probability of obtaining a specific number of successes in a fixed number of independent trials, where each trial has only two possible outcomes (success or failure) and the probability of success is constant throughout the trials.

The mass probability formula is given by the equation presented as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters, along with their meaning, are listed as follows:

The parameters for this problem are given as follows:

The probability that at most two of the next six customers order fish is:

P(X <= 2) = P(X = 0) + P(X = 1) + P(X = 2).

Hence:

P(X ≤ 2) = 0.6365 = 63.65%.

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Answer:

Yes, this is a right triangle.

Step-by-step explanation:

The Pythagorean Theorem states that if the sum of the squares of the two small sides of a triangle add up to the square of the longest side, then the triangle is a right triangle: a² + b² = c², where a and b are the smallest sides (called legs) and c is the longest side (called the hypotenuse).

Here, the two smallest sides are 10 and 49.5, so let's square them, add them up, and see if they add up to 50.5²:

10² = 100

49.5² = 2450.25

100 + 2450.25 = 2550.25

50.5² = 2550.25

Since 10² + 49.5² equals 50.5², we know that this is a right triangle.

Thus, yes, this is a right triangle.

The quantity of sugar that is needed in kg would be = 1.8kg

Recipe is defined as the list of components of ingredients that makes up a food product.

From the recipe given by Angela, the quantity of syrup that is used to make up to 14 biscuits= 275 ml.

The quantity of sugar that is used to make up to 14 biscuits= 150g

Therefore the quantity of sugar that would be used for syrup of 3.3 liters would be= X

That is;

275ml = 150g

3.3L = X

Convert 3.3L to ml = 3,300ml , then make x the subject of formula;

X = 3300×150/275

X = 495000/275

X= 1,800g

Then convert 1,800g to kg by dividing through with 1000;

1800/1000 = 1.8 kg

Therefore, the quantity of sugar that would be used for 3.3L of syrup would be 1.8kg.

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Complete question:

Angela is following this recipe to make biscuits.Angela uses 3.3 litres of syrup.

How much margarine is needed in kg?

Recipe: Makes 14 biscuits

120 g margarine

150 g sugar

275 ml syrup

200 g oats

60 g sultanas

How much sugar is needed in kg?

The sample standard deviation of the heights (in inches) of 10 adult males is approximately 1.464 inches.

To find the sample standard deviation of the heights of the 10 adult males, follow these steps:

1. Calculate the mean (average) height:

(70+72+71+70+69+73+69+68+70+71) / 10 = 703 / 10 = 70.3 inches.

2. Subtract the mean from each height and square the result:

\([(70-70.3)^2, (72-70.3)^2, ... (71-70.3)^2].\)

3. Calculate the sum of these squared differences:

0.09+2.89+0.49+0.09+1.69+7.29+1.69+5.29+0.09+0.49 = 19.31.

4. Divide the sum by (n-1), where n is the sample size: \(19.31 / (10-1) = 19.31 / 9 = 2.145.\)
5. Take the square root of the result: √2.145 = 1.464 (rounded to 3 decimal places).

The sample standard deviation of the heights of the 10 adult males is approximately 1.464 inches.

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The statement if False.

A family budget is a game plan for your family's money. Your plan identifies where and how your money comes and goes by focusing on income and expenses. Importantly, it also reflects your family's goals and values by how you spend and save.

Given statement,

You overhear a friend discuss how Americans are frivolous in their spending and waste lots of money.

The most expensive items in American spending are needs like housing, taxes, and transportation, while wants like wants are the least expensive.

In America, besides taxes three largest cost categories are households, transportation and food.

A family's transportation costs are $1,847 more than its food expenses.

Typically, needs make up 80% of expenses rather than wants.

Housing, fees, and medical expenses, continuing to be the same each month. The cost of clothing, entertainment, food, and transportation changes every month.

Hence,  we can conclude that, Americans don't necessarily waste money on wants because they have to spend on needs before wants, which results in a lot of spending on things like housing and taxes.

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Answer: Yes, you may

Step-by-step explanation: You can get estimates with answers, unless if not noted or specifies if it's a dead-exact answer. Estimates are a great strategy for finding the right path for a correct answer.

Answer:

Is: {(-1,3), (4, 2), (-1, 5)}

Step-by-step explanation:

Because the domain have 2 numbers are the same which is (-1) so that's not a function

Answer:

The answer is the last one (-1,3), (4,2), (-1,5) Hope this helps!

Step-by-step explanation:

\(\sf 5 (3x-1)-3 (5x-1)\)

\({:}\longrightarrow\)\(\sf 15x-5-15x+3 \)

\({:}\longrightarrow\)\(\sf 15x-15x-5+3 \)

\({:}\longrightarrow\)\(\sf 0-5+3 \)

\({:}\longrightarrow\)\(\sf -5+3 \)

\({:}\longrightarrow\)\(\sf -2 \)

Answer:

d

Step-by-step explanation:

the graph of using step by step

Answer:

x = 9.32

Step-by-step explanation:

use the angles strategy

List the hours from 1 to 8

Multiply the hours by how much she is paid per hour ( $12)

X: 1, 2, 3, 4, 5, 6, 7, 8

y: 12, 24, 36, 48, 60, 72, 84, 96

Answer:

2g + 4h = 43

2g + 2h = 30

Step-by-step explanation:

Answer:

pairs of gloves = x

hats = y

2x + 4y = 43

2x + 2y = 30

hats = $6.50

gloves = $8.50

Step-by-step explanation:

use the elimination method to solve this system.

subtract the first equation by the second.

2x + 4y = 43

- 2x + 2y = 30

--------------------

         2y = 13

y = 6.5

plug in the y value to find x

2x + 4 (6.5) = 43

2x + 26 = 43

2x = 17

x = 8.5

Answer:

112 semanas divididas por 7 da como resultado 16 semanas exactas.

Step-by-step explanation:

The solution of expression 112 weeks divided by 7 is,

112 weeks divided by 7 = 16 weeks

We have to given that,

⇒ 112 weeks divided by 7

We can divide the 112 weeks divided by 7 as,

112 weeks divided by 7

⇒ 112 / 7

⇒ 16 weeks

Therefore, The solution of expression 112 weeks divided by 7 is,

112 weeks divided by 7 = 16 weeks

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Answer:

15.7

Step-by-step explanation:

5 * 3.14 = 15.7

Answer:

Below

Step-by-step explanation:

CIRCUMFERENCE of a CIRCLE is given by  :  pi * d

  Circumference = pi * 5 in = 15.7 inches   (Don't forget UNITS !!)

The volume of the rectangular building is 2,731,050 feet³ depending on the given height, base and width.

The volume of the building will be calculated by the formula -

Volume = length × breadth × height

Thus, keeping the value of each component of building in the formula to find the volume of the building.

Volume of building = 255 × 255 × 42

Performing multiplication on Right Hand Side of the equation to find the value of volume

Volume of building = 2,731,050 feet³

Therefore, the volume of the building is 2,731,050 feet³.

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Answer:

He bought enough he has 1 extra pint

Step-by-step explanation:

Given:

A number cube is rolled 24 times and lands on 2 five times.

To find:

The experimental probability of landing on a 2.

Solution:

A number cube is rolled 24 times.

So, total number of outcomes = 24

It lands on 2 five times.

So, favorable outcomes = 5

Now,

\(\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}\)

\(\text{Probability}=\dfrac{5}{24}\)

Therefore, the experimental probability of landing on a 2 is \(\dfrac{5}{24}\).

The given equation is

First, we add 4 on each side.

Then, we multiply 10 on each side.

Using Euler's Method with a step size of h = 0.1, the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 are:

t = 0.1: y ≈ 1.1

t = 0.2: y ≈ 1.22

t = 0.3: y ≈ 1.34

t = 0.4: y ≈ 1.47

t = 0.5: y ≈ 1.61

To use Euler's Method, we start with an initial condition. In this case, the given initial condition is y(0) = 1. We can then iteratively calculate the approximate values of the solution at each desired time point using the formula:

Yn = Yn-1 + h * F(Xn-1, Yn-1)

Here, h represents the step size (0.1 in this case), Xn-1 is the previous time point (t = Xn-1), Yn-1 is the solution value at the previous time point, and F(Xn-1, Yn-1) represents the derivative of the solution function.

For the given differential equation +2y = 2 - ey, we can rearrange it to the form y' = (2 - ey) / 2. The derivative function F(Xn-1, Yn-1) is then (2 - eYn-1) / 2.

Using the initial condition y(0) = 1, we can proceed with the calculations:

t = 0.1:

Y1 = Y0 + h * F(X0, Y0)

= 1 + 0.1 * [(2 - e^1) / 2]

≈ 1 + 0.1 * (2 - 0.368) / 2

≈ 1 + 0.1 * 1.316 / 2

≈ 1 + 0.1316

≈ 1.1

Similarly, we can calculate the approximate values of the solution at t = 0.2, 0.3, 0.4, and 0.5 using the same formula and previous results.

Using Euler's Method with a step size of h = 0.1, we found the approximate values of the solution at t = 0.1, 0.2, 0.3, 0.4, and 0.5 to be 1.1, 1.22, 1.34, 1.47, and 1.61, respectively.

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The side length of the square mat is 6 feet and the side length of the equilateral triangle mat is 8 feet, when x is equal to 3.

Let's solve for the side lengths of each game mat given the information provided.

For the square mat, the side length is given as x + 3 feet.

For the equilateral triangle mat, the side length is given as 3x - 1 feet.

To find the perimeters of the mats, we multiply the side length by the number of sides for each shape.

For the square mat:

Perimeter of square = 4 * (x + 3) = 4x + 12 feet

For the equilateral triangle mat:

Perimeter of triangle = 3 * (3x - 1) = 9x - 3 feet

Since both mats have the same perimeter, we can equate the two expressions:

4x + 12 = 9x - 3

To solve for x, let's simplify the equation:

12 + 3 = 9x - 4x

15 = 5x

Dividing both sides by 5, we find:

x = 3

Now that we have the value of x, we can substitute it back into the expressions for the side lengths of each mat:

For the square mat:

Side length = x + 3 = 3 + 3 = 6 feet

For the equilateral triangle mat:

Side length = 3x - 1 = 3(3) - 1 = 8 feet

Therefore, the side length of the square mat is 6 feet and the side length of the equilateral triangle mat is 8 feet, when x is equal to 3.

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Construct a 95% confidence interval for the expected difference in average test scores between the small class (Classroom A) and the regular class (Classroom B),

a. You can follow these steps:
1. Refer to column (4) of Table 13.2 and find the results for the regressors.
2. Calculate the standard error of the difference in average test scores using the formula:
  SE(difference) = sqrt[SE(Classroom A)^2 + SE(Classroom B)^2]
  where SE(Classroom A) and SE(Classroom B) are the standard errors for each class.
3. Calculate the margin of error (ME) by multiplying the critical value (z*) corresponding to a 95% confidence level by the standard error (SE).
4. Finally, construct the confidence interval by subtracting the margin of error from the difference in average test scores and adding it to the difference in average test scores.

b. To construct a 95% confidence interval for the expected difference in average test scores between the small class with a teacher with 5 years of experience (Classroom A) and the regular class with a teacher with 10 years of experience (Classroom B), you can follow similar steps as in part a. However, this time you need to account for the difference in teacher experience as a regressor.

c. To construct a 95% confidence interval for the expected difference in average test scores between the small class with a teacher with 5 years of experience (Classroom A) and the regular class with a teacher with 10 years of experience (Classroom B), you can follow similar steps as in part a. However, this time you need to consider both the class type and teacher experience as regressors.

d. The intercept is missing from column (4) because it represents the expected average test score when all the regressor variables are equal to zero. In this case, the intercept is not relevant to the question being asked, so it is not included in the table.

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The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.

A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:

United States Budget:

Korean Budget:

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Answer:

15x^3+28x^2-55x-12

Step-by-step explanation:

Dimensions of the box are (x+3), (3x-4), and (5x+1). Let these be length, width and height of the box.

assuming the box is cuboidal

Therefore, volume of the box  = Length× width× height

⇒volume of the box = (x+3)×(3x-4)×(5x+1)

now, (x+3)×(3x-4) = (3x^2+5x-12)

Now, volume of the box = (3x^2+5x-12)×(5x+1)

= 15x^3+28x^2-55x-12

The integration value of ∫\(tan^5\)(x) dx is tan³(x)/3 + \(tan^7\)(x)/7 + C.

To evaluate the integral ∫\(tan^5\)(x) dx, we can use integration by substitution. Letting u = tan(x), we have:

du/dx = sec²(x)

dx = du / sec²(x)

Subbing these articulations into the indispensable, we get:

∫\(tan^5\)(x) dx = ∫\(tan^4\)(x) × tan(x) dx

Substituting u = tan(x), we get:

∫\(tan^4\)(x) × tan(x) dx = ∫(\(u^4\))(1 + u²)du / u²

Simplifying this expression, we get:

∫(u² + \(u^6\)) du

Integrating each term separately, we get:

∫(u² + \(u^6\)) du = u³ / 3 + \(u^7\) / 7 + C

Substituting back u = tan(x), we get:

∫\(tan^5\)(x) dx = tan³(x) / 3 + \(tan^7\)(x) / 7 + C

In this manner, the answer to the essential is:

∫\(tan^5\)(x) dx = tan³(x)/3 + \(tan^7\)(x)/7 + C

where C is the constant of integration. Note that we must take absolute values of the tangent function in the denominator if we are integrating over intervals where the tangent function is negative.

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Answer:

8,8,8,7

Step-by-step explanation:

5,6,7,8,8,10,12

8 is the median since its the number in the middle

8 is the mode since it is the repeated number

7 is the range since 12-5 is 7

all the numbers added and divided by the number of numbers is the mean

(5+6+7+8+8+10+12)/7=8