please help me!
7. Two hours after leaving his home, Nolan traveled a distance of 120 miles. Distance in this scenario is represented by d and time is represented by t.. [2 points]Part A. Assuming that Nolan travels at the same speed during his trip, which of the following statements can be used to describe the distance Nolan may have traveled?
a.Nolan traveled 180 miles after 3 hours.
b.Nolan traveled 60 miles after 2 hours
.c.Nolan traveled 120 miles after 1 hour.
d. Nolan traveled 60 miles after 0 hours.
Part B. Write an equation that represents the distance traveled by the car for an amount of time. Then name the dependent variable
.a.d=120t, d is the dependent variable
b.d=60t, d is the dependent variable
c.d=120t, t is the dependent variable
d.
d=60t, t is the dependent variable

A. The null hypothesis H₀ and the alternative hypothesis H₁ are:

H₀: μ = 35 minutes       H₁: μ > 35 minutes

B. If the consultant decides not to reject the null hypothesis, she might be making a Type II error.

C. A Type II error would be failing to reject the hypothesis that μ is = to 35 minutes when, in fact, μ is 43 minutes.

A Type II error occurs when the null hypothesis is false, but the test does not reject it.

In this case, the consultant would be concluding that the mean shopping time is 35 minutes, when in fact it is greater than 35 minutes.

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Answer:

Step-by-step explanation:

you can divide 5 divided by 3 and your answer will be 0.6

Answer:

If a cubic function has a zero at 4, we know that it has a factor of (x - 4). If it has a zero at 2i, we know that it also has a factor of (x - 2i) and another factor of (x + 2i) (since complex zeros always come in conjugate pairs).

So, the cubic function in standard form would be:

f(x) = a(x - 4)(x - 2i)(x + 2i)

Multiplying out the factors, we get:

f(x) = a(x - 4)(x^2 + 4)

Expanding further, we get:

f(x) = ax^3 - 4ax^2 + 4ax - 16a

Therefore, a cubic function in standard form that has zeros at 4 and 2i is:

f(x) = ax^3 - 4ax^2 + 4ax - 16a

Answer:

132ft/s

Step-by-step explanation:

90mi/hr =  ________ft/s            1hr = 3600s

                                                    1 mi =  5280ft

90mi/hr  x  5280ft/mi    x   1hr/3600s   =   132ft/s   (after cancelling units)

Step-by-step explanation:

We need to write our function in the formula for Exponential Decay a(1-r)^x  

We can represent "a" in our equation as the original sample size for the substance (800 mg).

According to the formula, we need to subtract our rate of decay from 1. Remember! We CANNOT use the percent's decimal as a number. We need to convert the percent to a decimal. We do this by moving the decimal place backwards 2 places. 7.2% = .072

1 - .072 = .28

Now we have the equation f(x) = 800(0.28). But where are the variables? That is our next problem. If t is the number of years since 2001, then we need to multiply it by the rate of decay (.28t). Now there is only one variable left, which is y.
Our answer is f(x) = 800(.28t)^y

Answer:

4 : 9 ; 5 /9

Step-by-step explanation:

Given that:

Basket contains apples and oranges

For every 4 oranges, there are 5 apples

A.)

Ratio of number of oranges to the total number of fruits in the basket :

Oranges = 4

Total = oranges + apple

Total = 4 + 5 = 9

Oranges : Total

4 : 9

B.) Fraction of the fruit in the basket that are apples :

The ratio of apples to the total fruits is :

Apples = 5

Total = 4 + 5 = 9

Hence,

Fraction of apple to total :

5 / 9

The government agency as a monopolist will produce and sell internet connections up to the point where the marginal cost is 1/2. The price will be set at 1, given the perfectly elastic demand function.

In the scenario where a government agency has a monopoly in the provision of internet connections and the inverse demand function is given by p = 1, we can analyze the market equilibrium and the implications for pricing and quantity.

The inverse demand function, p = 1, implies that the market demand for internet connections is perfectly elastic, meaning consumers are willing to purchase any quantity of internet connections at a price of 1. As a monopolist, the government agency has control over the supply of internet connections and can set the price to maximize its profits.

To determine the optimal pricing and quantity, the monopolist needs to consider the marginal cost of providing internet connections. In this case, the marginal cost is given as 1/2. The monopolist will aim to maximize its profits by equating marginal cost with marginal revenue.

Since the inverse demand function is p = 1, the revenue received by the monopolist for each unit sold is also 1. Therefore, the marginal revenue is also 1. The monopolist will produce up to the point where marginal cost equals marginal revenue, which in this case is 1/2.

As a result, the monopolist will produce and sell internet connections up to the quantity where the marginal cost is 1/2. The monopolist will set the price at 1 since consumers are willing to pay that price.

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The airplane will take 0.0095 seconds to cover 272 meters at a rate of 769 kilometers per hour, which is equivalent to 213.6 meters per second.

(272 m) / (769 km/h) x (1 h/3600 s) = 0.0095 s

1. Convert km/h to m/s: 769 km/h x (1000 m/1 km) x (1 h/3600 s) = 213.6 m/s

2. Divide the distance to travel (272 m) by the rate (213.6 m/s): 272 m / 213.6 m/s = 0.0095 s

The airplane's speed on this certain flight is 769 kilometers per hour. In order to calculate how long it will take to cover a distance of 272 meters, we must first convert the speed to meters per second. 769 kilometers per hour is equivalent to 213.6 meters per second. Once we have the rate, we can divide the distance by the rate, which is 272 meters divided by 213.6 meters per second. This calculation yields a result of 0.0095 seconds. Therefore, the airplane will take 0.0095 seconds to cover 272 meters.

The airplane will take 0.0095 seconds to cover 272 meters at a rate of 769 kilometers per hour, which is equivalent to 213.6 meters per second.

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Step-by-step explanation:

This is similar to the other problem you posted (problem 16).

Again, use the law of cosines. I won't write it out because I wrote it out for the other problem you asked.

Just plugin in a = 8, b = 20, and gamma = 35 into the law of cosines. Then you get your c value, which in this problem is your b variable.

I got around 14.20814

The Length of the rod is 3/5 meters.

The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).

To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,

we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,

we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.

Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,

we have:x = 2/5 y^(5/2) + 3/5

The length of the rod is given by the value of x when y = 1. Substituting y = 1,

we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5

The length of the rod is 3/5 meters.

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(a) At 90% confidence Interval, the value will be 79.81.

(b) A reliability coefficient of 0.90 means that there is a probability of 0.90 that the interval estimator constructed using this coefficient contains the population parameter.

(c) At 95% the value is 79.53.

(d) the width of a confidence interval as the value of the confidence coefficient is increased.

(e) the condition guarantees that the sampling distribution of x is approximately normal.

(a) 100 -90 = 10

10/2 = 5

5/100 = 0.05

Use calculator for z score (2nd)+(VARS)+(3InvNorm)+(.percentage)

(2nd)+(VARS)+(3InvNorm)+(0.05) =1.64

Use Q/Sqrt(n) * Z Score + x(bar) (upper Bound)

8.5/Sqrt(100) * 1.64 + 81.2 (upper Bound) =82.59

Use 8.5/Sqrt(100) * 1.64 -81.2 (lower bound) = 79.81

(b) When you say that a confidence coefficient is 0.90 we mean that

A reliability coefficient of 0.90 means that there is a probability of 0.90 that the interval estimator constructed using this coefficient contains the population parameter.

(c) Use calculator for z score (2nd)+(VARS)+(3InvNorm)+(.percentage)

(2nd)+(VARS)+(3InvNorm)+(0.025) =1.96

Use Q/Sqrt(n) * Z Score + xbar (upper Bound)

8.5/Sqrt(100) * 1.96 + 81.2 (upper Bound) =82.87

Use 8.5/Sqrt(100) * 1.96 -81.2 (lower bound) = 79.53

(d) The confidence coefficient is increased while the sample size is held​ fixed is an increase , critical value. increase.

(e) ​Yes, since the sample sizes are large (n≥​30) and randomly selected from the target​ population, the condition guarantees that the sampling distribution of x is approximately normal.

Complete Question:

A random sample of 36 observations from a normally distributed population possesses a mean equal to 17 and a standard deviation equal to 6.

Use this information to complete parts a through e below.

a. Find a 90​% confidence interval for μ.

b. What do you mean when you say that a confidence coefficient is 0.90​?

c. Find a 95​% confidence interval for μ.

d. What happens to the width of a confidence interval as the value of the confidence coefficient is increased while the sample size is held​ fixed?

Increasing the confidence coefficient while keeping the sample size fixed will cause an increase in the critical value. This means that the width of the confidence interval will increase.

e. Would your confidence intervals of parts a and c be valid if the distribution of the original population were not​ normal? Explain.

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Answer:

1/4

Step-by-step explanation:

The formula is y2-y1 over x2-x1.

(Remember that or another problem like that)

(3, 4) (-5,2)

x1 y1  x2 y2

We would do: 2-4 over -5-3

2-4=-2

-5-3=-8

Your answer would be: -2/-8, which is simplified to 1/4 because when you divide two negative numbers, you get a positive.

The location which is in the region for plants receiving the maximum amount of water is "(-3,-1)". The Option A is correct.

Water flows into the open pore spaces in the soil by gravity, and the size and spacing of the soil particles determine how much water can flow in. Because coarse soils have larger pore spacing at the soil surface, they have a higher infiltration rate than fine soils.

Based on the graph, we observed that the point of location in which is in the region for plants receiving the maximum amount of water is the point (-3,-1). Therefore, we agree that Option A is correct.

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Answer:

Brand A

Step-by-step explanation:

Brand A has a box of 25 forks for 1.99

Take the price per fork

1.99 /25 = .0796

              .08 per fork

Brand B has a box of 42 totals for 3.89

3.89 / 42

.092319048

.09 per fork

Answer:

Solve value problems by setting up a system of equations. ... Once the table is filled in we can easily make equations by adding each column, setting it ... Dime d. 10. 10d. Total. 11. 185. We have 11 coins total.This is the number total. ... twice as many dimes, than we multiply the other variable (nickels) by two.

Step-by-step explanation:

Answer:

66.67%

Step-by-step explanation:

80/120 = 66.67

Answer:

perimeter= a+b+c

Step-by-step explanation:

perimeter= 4+8+4= 16cm

Answer:

3 and -10

Step-by-step explanation:

-6-(-9)=x

-6+9=x

3=x

34-44=x

-10=x

If we can translate the statement "The ice rink costs $200 plus $4 per person to rent for a birthday celebration and the entire cost of the rental is $324" into an algebraic equation, we get 4x + 200 = 324, where x is the number of people at the birthday party. The solution of this equation i.e. the number of people at the birthday party is 31.

A statement of the equivalence of two expressions created by executing algebraic operations on a set of variables, such as addition, subtraction, multiplication, division, raising to a power, and root extraction, is known as an algebraic equation.

Let the number of people at the birthday party be x.

Given that the ice rink costs $200 plus $4 per person to rent for a birthday celebration. So, the rent is 4x + 200.

Also, given that the entire cost of the rental is $324.

We can write the corresponding algebraic equation as

4x + 200 = 324

Now we have to solve this equation.

So, 4x = 324 - 200 = 124

i.e. x = 124/4 = 31

Therefore the required algebraic equation is 4x + 200 = 324, where x is the number of people at the birthday party. Also, the solution of this equation i.e. the number of people at the birthday party is 31.

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Answer

392.04 square yards

Step-by-step explanation:

Let's just do 18(1.1) which gives you 19.8. That gives you the length of one of the sides of the square. A square has four equivalent sides in terms of length and height. So just multiply length times height (aka 19.8 squared) or 392.04 square yards.

The number of stakes that you need to be required should be 400 stakes.

Since You want to put a stake every metre around the perimeter of a square plot that measures 100 metres on every side.

So here the square does have 4 sides

So,

= 100 (4)

= 400

hence, The number of stakes that you need to be required should be 400 stakes.

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For given measurements, the perimeter of the quadrilateral is 30cm.

The length of a quadrilateral's border, or what remains after joining all four of its sides to form a single line segment, is referred to as the quadrilateral's perimeter. As a result, a quadrilateral's perimeter is measured in the same linear units as its sides, such as meters, inches, centimeters, etc.

This may be stated using a straightforward formula. For instance, the formula for a quadrilateral ABCD's perimeter may be written as,

AB + BC + CD + DA = The perimeter

perimeter of the quadrilateral = sum of all sides.

perimeter of the quadrilateral = 1 + 9 + 12 + 8

= 30 cm.  

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Answer:

1. Volume=64288 ft³

2. 2,713 yd³ -2714.34 is the number and rounded to the nearest whole number is 2,713.

3. 3.14 ft³ -Actually 314.15927 but you have to round so 3.14.

Step-by-step explanation:

Hope this helps!!

Rewrite the expression by using the grouping symbols.

So answer after simplication is 24.

(a)Dr Unearned Revenue $1,400

Cr Service Revenue $1,400

(b)Dr Advertising Expense $880

Cr Prepaid Advertising $880

(c)Dr Salaries Expense $7,800

Cr Salaries Payable $7,800

(d)Dr Interest Expense $1,360

Interest Payable $1,360

Journal entry preparation

(a) According to the information provided, Shocker gets a $4,200 payment from a client for services done over the following three months, which implies the journal entry will be:

Unearned Dr. $1,400 in revenue

($4,200 x 1/3)

$1,400 in Cr Service Revenue

(a) Based on the information provided, we were told that the firm pays a local radio station $2,640 for radio advertisements throughout the months of December, January, and February, which implies that the Journal entry would be entered as:

Dr. Advertising Cost $880

($2,640 x 1/3)

$880 in Cr Prepaid Advertising

(c) According to the information provided, the corporation Employee salaries for the month of December were $7,800, which will be paid on January 7, 2022, implying that the Journal entry would be:

Dr Salaries Cost $7,800

$7,800 in Cr Salaries

(d) According to the facts provided, Shocker borrows $68,000 from a local bank, which implies the Journal entry will be:

$1,360 in Dr. Interest Expense

($68,000 x 6% x 4/12)

$1,360 in payable interest

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In the Cell Styles gallery, the Currency [0] style and the Comma [0] style format the selected cell with 0 decimal places.

When numbers have values over 1000, they are formatted with commas using the comma style. For instance, the outcome displayed if we apply this style to data with a value of 100000 will be as (100,000). The 1000 (,) separator, often known as the comma style in Excel, may be found under the "Home" tab in the number section. Clicking on it will access this formatting style.

The "Accounting" format frequently uses the comma style.

The dollar sign is locked to the far left half of the cell in the normal comma style format, which also allows for up to two decimal places and 1,000 separators. In the enclosures, negative numbers are displayed.

Hence, in the Cell Styles gallery, the Currency [0] style and the Comma [0] style format the selected cell with 0 decimal places.

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By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.

The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.

To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.

Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.

Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.

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