65+ (blank) =180
11x + (blank)=180
11x =
x =

Given:

To Determine: The samplean would differ from the true mean by more than 0.6 dollars

Solution

Please note that standard deviation is the square root of variance

Please note that Z is the number of SE(standard error away from the mean. Therefore

Hence the probability is 0.8485

The equation that represents the cost and the charges for the service is y = $25x + $50. And the he charges $125 for 3 hours of service.

Equation:

An equation state that the value of two mathematical expressions is equal.

For example,

2x + 5 = 7

is an equation.

Given,

An electrician charges $25 per hour plus a one-time service fee of $50.

Here we need to find the equation for the given situation and we have also find the charge for the 3 hour of service.

Let us consider the equation of the line y = mx + c, where m represents the constant change and c represents the fixed constant.

While we apply these equation to the given situation we can get the value of

m = $25

And the value of

c = $50.

Therefore, the equation of the situation is

y = $25x + $50.

We have already now that the y represents the cost and the x represents the hour of service.

Now we have to find the service charge for 3 hours,

So we have to apply the value of x as 3 then we get,

=> y = $25 (3) + $50

=> y = $75 + $50

=> y = $125

Therefore, the cost for 3 hours is $125.

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Answer:

Given points are,

A'(2,3) and A(3,-4), under the translation.

we get the graph as,

where B is A(3,-4) and A is A'(2,3).

A translation by 1 unit left and 7 units up.

Answer is:

A translation by 1 unit left and 7 units up.

Step 1. The information that we have is:

The final amount that Michael wants to save is:

We will call that amount A.

The annual percentage rate of the investment, which we will label as r, is:

We will need this annual percentage rate represented as a decimal number, therefore, we divide it by 100:

The time of the investment, t, is 3 years:

And it is compounded daily, let n be the number of times of compounding in a year:

Step 2. We need to find the initial amount of the investment, which will be called P or principal.

The formula we will use to find it is:

Step 3. Substituting the known values:

From this equation, we need to solve the operations and solve for P, the principal amount of the investment.

Step 4. Simplifying the equation:

Continue simplifying:

Then, we solve for P:

Rounding to the nearest cent (2 decimal places) The amount that he needs to invest is $42,621.67

Answer: $42,621.67

To find the area of similar figures whe you know the area of one of the figures and the length of corresponding sides:

1. Find the scale factor: in this case as you have the area of the largest figure find the scale factor for a reduction:

2. Find the missing area: the area in similar figures is equal to the scale factor squared multiplied by the given area.

Solution

Let us draw a diagram to illustrate the information

Using SOHCAHTOA

Answer

Answer = 3⁻⁴ = (1/3⁴) = (1/81)

The answer is 3 raised to the power of negative 4 or 3 to the negative 4th power.

Explanation

The law of indices is usually applied when questions that involve same numbers with (different or the same) powers are considered.

When a number carrying a particular power is divided by the same number also carrying another power, the result is that same number raised to the power of the difference between the power of the numerator and the power of the denominator.

It'll be clearer in practice now.

Hence, the answer is 3 raised to the power of negative 4 or 3 to the negative 4th power.

Hope this Helps!!!

Answer:f(x) = 1/4x

Step-by-step explanation:

Assuming this is a linear equation, we simply use the two points given to find the slope (or gradient depending on where you’re from), to find the equation. So just do rise over run:

Edited: I divided backwards, apologies!

-3 - (-2)/-8 - (-12) = -5/-20 = 1/4x.

Answer:

59 rolls are not in boxes

Step-by-step explanation:

9×24=216-275=59

The function has an end behaviour of x → ∞, q(x) → -∞ and x → -∞, q(x) → -∞

The equation of the polynomial function is given as

q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

To determine the end behaviour of the function, we calculate

q(∞) and q(-∞)

So, we have

q(∞) = -2(∞)⁸ + 5(∞)⁶ - 3(∞)⁵ + 50

Evaluate the exponents

q(∞) = -2(∞) + 5(∞) - 3(∞) + 50

This gives

q(∞) = -∞ + ∞ - ∞ + 50

q(∞) = -∞

Also, we have

q(-∞) = -2(-∞)⁸ + 5(-∞)⁶ - 3(-∞)⁵ + 50

Evaluate the exponents

q(-∞) = -2(∞) + 5(∞) - 3(-∞) + 50

This gives

q(-∞) = -∞ + ∞ + ∞ + 50

q(-∞) = -∞

Hence, the end behaviour of the graph is x → ∞, q(x) → -∞ and x → -∞, q(x) → -∞

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Complete question

Consider the polynomial function q(x) = -2x⁸ + 5x⁶ - 3x⁵ + 50

Calculate the end behaviour

If Alex has a $100 budget to buy food for his birthday, each pizza cost $10 and each soda bottle cost $3, and Alex bought 7 pizzas, then the greatest number of soda bottles Alex can buy without over budget 10 soda bottles

The total budget = $100

The cost of one pizza = $10

Number of pizza he bought = 7

The total cost of pizza = 7×10 = $70

The remaining money = 100-70

= $30

The cost of one soda bottle = $3

Number of soda bottle can he buy using the remaining money = 30/3

= 10 soda bottles

Hence, if Alex has a $100 budget to buy food for his birthday, each pizza cost $10 and each soda bottle cost $3, and Alex bought 7 pizzas, then the greatest number of soda bottles Alex can buy without over budget 10 soda bottles

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By solving an equation we can say that Sarah needs to blend a total of 96 pounds of coffee beans.

So, the total pounds Sarah needs to blend:

Now form an equation as:

Then, solve equation for 'x' as follows:

Therefore, by solving an equation we can say that Sarah needs to blend a total of 96 pounds of coffee beans.

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20 miles per hour

1) Gathering the data from the question:

S=140 miles

Time spent =7 hours

Average speed=?

2) The average speed is calculated using a ratio:

Since the units are in a standard usual way, we don't need to do any conversion so, the answer is

20 miles per hour

Representing intervals as we are doing for your question means we will represent all the possible values of x. To do that we will colour in blue all possible values of x but there is a detail we must to consider. The limits of the interval. for that we have two symbols, [ that means "closed on the value" and ( that means "opened on the value". So if there is a [ on a number it means that number makes part of the interval, but if there is a ( it means that number is not in the interval.

Now, for our inequality we have

Once x can be equal or superior to 2 it means 2 is part of the interval because x can be this value, but x is inferior to 8 but it can not be 8 so 8 is not on the interval. Once we know that, know we can represent our interval as follows:

And that is our final answer.

For an interval notation we can write [2,8).

The most appropriate way to model 9485 with the base ten blocks is
9 - thousand, 4 - hundred, 8- ten, and 5 - once.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Base ten block implies the number of blocks according to the digit representation,
For the given question,
The number represents there are 9485 cubes, which can be represented as 9 - thousand, 4 - hundred, 8- ten, and 5 - once.

Thus, the most appropriate way to model 9485 with the base ten blocks is 9 - thousand, 4 - hundred, 8- ten, and 5 - once.

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Given revenue function is:

Now revenue at t=(-1)

So the revenue at t=-1 is 10.

ANSWER

Rational number and Real number

EXPLANATION

We want to identify what type of number -3.7 is.

A natural number is a number that is a positive integer, used in counting things. Examples are 4, 7 and 55.

A whole number is a number that is used in counting, including 0 i.e. natural numbers including 0.

An integer is a whole number but the difference is that an integer can be positive, negative or zero.

A rational number is a number that can be expressed as a fraction of two integers i.e. a/b while an irrational number is one that cannot be expressed as a fraction of two integers.

A real number is any number that can be found as a distance between two points on the number line.

From the definitions above, we see that we can classify -3.7 as a rational number and a real number.

It is not a natural number, whole number, irrational number or an integer.

We have the following table

hour pay

1 12

2 24

3 36

4 ?

It seems that for each hour we work, we end up earning $12. Then, we know that if we work 3 hours we earn 36. So, if we work one more hour (4) we should add 12 to what we earn for working 3 hours. That is

So we aren 48 for working 4 hours.

We are told that each year the value of the laptop is 75% of the value of the value of the previous year. This means that every year the current value of the laptop is multiplied by 0.75. Then if v is the original value of the laptop its value after t years is given by:

We need to find after which year V(t) is equal to 500 or less then we have V(t)≤500 and since the original value of the laptop was 4200 we have v=4200:

We divide both sides by 4200:

Then we apply the logarithm to both sides:

Then we use the property of logarithm regarding exponents:

And we divide both sides by the logarithm of 0.75 (we change the inequality symbol because log(0.75) is negative):

Then we get:

So the laptop's value is less than $500 after 7.398 years.

Since we are requested to write a whole number as the answer and the smallest whole number that is bigger than 7.398 is 8 we have that the answer is 8 years.

To answer this question, we will set a system of equations, and we will solve the system by the graphical method.

Let x be the number of times Jake buys drinks and food, then the total amount he will pay is determined by the following equation:

Its graph is:

Now, let x be the number of times Joshua buys drinks and food, then the total amount he will pay is determined by the following equation:

Graphing both equations we get:

The intersection of the graphs is the point,

When 43/1/2 is divided by 1/1/4 , the value will be 34 4/5.

A fraction simply means a numbers that's represented as a/b where a = numerator and b = denominator

In this case, the division of the fraction will be:

43 1/2 ÷ 1 1/4

= 87/2 ÷ 5/4

= 87/2 × 4/5

= 174 / 5

= 34 4/5

This shows the. concept of fractions.

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he slope-intercept form​ is

y = mx + c

here, m = slope of the line and C is intercept on y axis.

We are given an expression "4n"

The question says to evaluate this expression when n = 5

Here, evaluation simply means, finding the value of "4n" when n = 5. This is a simple problem of substitution. By substitution I mean replacing every occurence of n in the given expression by 5. This would be done as follows:

Given expression = 4n

Note that here 4 is being multiplied to n.

Replacing n by 5, we get the result as:

From here, we can conclude that the value of expression "4n" for n = 5 will be 20.

1 Pine- apple equal to 9 Apples.

The divisional comparison of two quantities yields a ratio, and the equality of two ratios yields a proportion.

A ratio is commonly written as "x: y," though it can also be read as "x is to y" or "x/y."

In terms of comparison, a proportional equation says that two ratios are equal.

When x: y: z: w is used to represent a ratio, it is understood to mean that x is to y as z is to w.

In this case, w and Y are not equal to 0, therefore x/y Equals z/w.

6 Apples = 4 Pomegranates

6 Pomegranates = 1 Pine- apple

1 Pine- apple = 9 Apples.

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Answer:

No.

Step-by-step explanation:

We are given the following inequality:

[tex]76 < 5-\frac{136}{s}[/tex]

And we want to know if s=2 is a solution, meaning if s is 2, will the inequality still be true?

We can substitute 2 for s in the inequality to test it.

Replace s with 2.

[tex]76 < 5-\frac{136}{2}[/tex]

First, let's divide 136 by 2.

136/2 = 68

The inequality is now:

76 < 5 - 68

Subtract 68 from 5.

76 < -63

The inequality reads "76 is less than -63", which is a false statement (76 is positive, -63 is negative, and positive numbers are greater than negative numbers).

Ergo, s = 2 is not a solution to the inequality.

The given scale is 1:600.

The dimensions of the drawing are 5 by 15.

We just have to multiply each dimension by 600.

So, the dimensions of the actual area are 3,000 cm and 9,000 cm. But, we know that 1 meter equals 100 centimeters, let's transform.

Then, we multiply the dimensions to find the area.

To find the value of y

4(y – 4) = 8

Divide both-side of the equation by 4

y - 4 = 2

Add 4 to both-side of the equation

y = 2 + 4

y = 6

D is the correct option

A ratio comparing a part to the whole must then have 9 as the second number.

In this question, we have been given Kenny has red marbles, 3 blue marbles, and 4 black marbles.

We need to find the ratio that  compares a part to the whole.

Here, the total number of marbles are:

2 red + 3 blue + 4 black = 9 marbles.

Let x be either number of marbles (either red marbles or blue marbles or black marbles)

Then the ratio that  compares a part to the whole would be,

x : 9

Therefore, a ratio comparing a part to the whole must then have 9 as the second number.

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We have:

1 minute = 60 seconds

Then, 15 miles per second to miles per minute is:

Next, Distance traveled in 3 minutes is given by:

Answer:

rate = 900 mi/min

distance = 2700 miles

We need to solve the following expression:

The order of operations is a rule that tells the correct sequence of steps for evaluationf a math expression. We can remember the order using PEMDAS: Parenthesis, Exponents, Multiplication and Division (from left to right).

Then, in our expression, we must solve parenthesis first. It yields

The next step is to raise exponents,

and now, the multiplication step

then, we get 70-64 and the solution is 6.