Jocelyn drives her car with a constant speed of 40 miles per hour. How far can she travel in 1.5 hours?

The Probability of an event is a chance  that an event will occur. It is option D, the ratio of trombones to all the brass section members will be 3/7, 3:7 or 3 to 7.

Probability means possibility. It is a branch of mathematics that deals with the circumstances of a random event.

The value is expressed from zero to one. The meaning of probability is basically the extent to which the commodity can be.

Given:

From the aggregate of 7 particulars we get

trumpets = 4/7

trombones = 3/7

So the chance of getting a trombones is = 3/7 or 3:7

Question

The brass section of a middle academy jazz band has 4 trumpets and 3 trombones. What's the rate of trombones to all the brass section members?

A. 7/3, 7:3, or 7 to 3

B. 4/7, 4:7, or 4 to 7

C. 4/3, 4:3, or 4 to 3

D. 3/7, 3:7, or 3 to 7

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Answer:

C.

Step-by-step explanation:

Scatterplots with weak correlation coefficients are values near zero

The false statement about the correlation coefficient is r = 0 shows that two variables are strongly correlated.

A statistical metric known as correlation illustrates how closely two variables are connected and how they tend to move in tandem. When two variables are positively correlated, they move in the same direction, and when they are negatively correlated, they move in the opposite way. To determine the degree and direction of the association between two variables, a correlation coefficient is utilized.

A correlation coefficient of -1 indicates a perfect negative correlation, a correlation coefficient of 1 indicates a perfect positive correlation, and a correlation coefficient of 0 indicates no correlation between the two variables.

Given data ,

The FALSE statement is:

c. The correlation coefficient r = 0 shows that two variables are strongly correlated.

A correlation coefficient of 0 means that there is no linear relationship between the two variables. It does not indicate the strength of the relationship.

A value of r = 0 indicates that there is no association between the two variables, whereas a value of r = 1 or r = -1 indicates a perfect positive or negative association, respectively.

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The inverse function of y = 3^x is given as follows:

f^(-1)(x) = log3(x).

To find the inverse function, we exchange x and y in the original function, then isolate y.

The function for this problem is defined as follows:

y = 3^x.

Exchanging the variables, we have that:

x = 3^y.

The inverse operation to the power of 3 is the logarithm of base 3, hence the inverse function is given as follows:

y = log3(x).

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Answer:

Step-by-step explanation:

70000÷18=3888.88888889

280000÷3888.88888889=72

Or

140÷35=4

18x4=72

Answer:

737 cooks are required to prepare a meal for 737 people in 5 hours

Step-by-step explanation:

According to the given information, 10 cooks can prepare a meal for 536 people working for 8 hours each.

Let's calculate the total work done by the 10 cooks in 8 hours.

Total work done = Number of cooks * Hours worked

Total work done = 10 * 8 = 80

Now, let's calculate the work done by one cook in one hour.

Work done by one cook in one hour = Total work done / (Number of cooks * Hours worked)

Work done by one cook in one hour = 80 / (10 * 8) = 1

Therefore, one cook can prepare food for 1 person in 1 hour.

Now, let's calculate the number of cooks required to prepare a meal for 737 people in 5 hours.

Total work required = Number of people * Hours required

Total work required = 737 * 5 = 3685

Number of cooks required = Total work required / (Hours worked * Work done by one cook)

Number of cooks required = 3685 / (5 * 1) = 737

Therefore, 737 cooks are required to prepare a meal for 737 people in 5 hours.

Answer

Estimate each product 13.92*2.7

37.584

Answer:

y = -8/3x + 8

Step-by-step explanation:

Step 1:  Identify which values we have and need to find in the slope-intercept form:

The general equation of the slope-intercept form of a line is given by:

y = mx + b, where

Since we're told that the y-intercept is 8, this is our b value in the slope-intercept form.

Step 2:  Find m, the slope of the line:

Thus, we can find m, the slope of the line by plugging in (3, 0) for (x, y) and 8 for b:

0 = m(3) + 8

0 = 3m + 8

-8 = 3m

-8/3 = m

Thus, the slope is -8/3.

Therefore, the the equation of the line in slope-intercept form whose x-intercept is 3 and whose y-intercept is 8 is y = -8/3x + 8.

Optional Step 3:  Check the validity of the answer:

Thus, we can check that we've found the correct equation in slope-intercept form by plugging in (3, 0) and (0, 8) for (x, y), -8/3 for m, and 8 for b and seeing if we get the same answer on both sides of the equation when simplifying:

Plugging in (3, 0) for (x, y) along with -8/3 for m and 8 for b:

0 = -8/3(3) + 8

0 = -24/3 + 8

0 = -8 = 8

0 = 0

Plugging in (0, 8) for (x, y) along with -8/3 for m and 8 for b;

8 = -8/3(0) + 8

8 = 0 + 8

8 = 8

Thus, the equation we've found is correct as it contains the points (3, 0) and (0, 8), which are the x and y intercepts.

Answer:

Step-by-step explanation:

\(y=(\frac{1}{g} )x\)

Constant up a proportionally is  \(\frac{1}{g}\).

a. total estimated uncollectible accounts is $21,190

b. to entry the adjustment, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690

a. to compute the estimated uncollectible accounts, we have to multiply the specific % to the accounts receivable plus the beginning balance;

•Accounts not due

$36,000 x 4% = $1,440

•Accounts 1 - 60 days past due

$21,000 x 25% = $5,250

•Accounts more than 60 days past due

$16,000 x 50% = $8,000

So the total uncollectible accounts would be; $6,500 + $1,440 + $5,250 + $8,000 = $21,190

b. to record the year-end adjustment of the uncollectible accounts, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690. This figure is the uncollectible amount we computed earlier based on the aging.

Therefore, the total estimated uncollectible accounts is $21,190 and to entry the adjustment, we have to debit bad debt expense and credit allowance for doubtful accounts in the amount of $14,690

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Disclaimer

The question given by you is incomplete, so the above answer has been done as per a similar question

Spade Agency separates its accounts receivable into three age groups for purposes of estimating the percentage of uncollectible accounts. In addition, the balance of Allowance for Uncollectible Accounts before adjustment is $6,500 (credit).Accounts not yet due = $36,000; estimated uncollectible = 4%.Accounts 1–60 days past due = $21,000; estimated uncollectible = 25%.Accounts more than 60 days past due = $16,000; estimated uncollectible = 50%.Required:a. Compute the total estimated un-collectible accounts.b. Record the year-end adjustment for estmated un-collectable accounts.

The range is greater for the girls and the mean is greater for the girls. So, correct option is B.

A) The statement "The range is greater for the girls" is true. The range is the difference between the highest and the lowest values in a data set.

Looking at the line plots, the highest value for the boys is 10, and the lowest is 3, giving a range of 7 hours. The highest value for the girls is 9, and the lowest is 5, giving a range of 4 hours. Therefore, the range is greater for the boys.

B) The mean is the sum of all values divided by the total number of values. To calculate the mean for the boys, we add up all the hours and divide by 10, which gives us:

(3 + 6 + 7 + 7 + 8 + 8 + 8 + 8 + 9 + 10) / 10 = 7.4 hours

To calculate the mean for the girls, we add up all the hours and divide by 10, which gives us:

(5 + 6 + 6 + 6 + 7 + 7 + 7 + 8 + 8 + 9) / 10 = 7.1 hours

Therefore, the mean for the boys is 7.4 hours and the mean for the girls is 7.1 hours, so the statement "The mean is greater for the girls".

So, correct option is B.

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Step-by-step explanation:

step 1 find thd equation of line PI

step 2 find the equation of line AD

step 3 solve the two equations of the 2 lines

step 4 the valued of x and y obtained from step 3are yhe coordinates of the intetcept

The y-intercept of the linear function means that her initial distance from the finish line is of 10 kilometers.

The slope-intercept equation for a linear function is presented as follows:

y = mx + b

In which:

The graph crosses the y-axis at y = 10, hence the intercept b is given as follows:

b = 10.

The y-values represent the distance in the context of this problem, hence the initial distance is of 10 km.

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The solution to the inequality is: x <= -8 or x >= -8 and [-24, -11] U [7, 24] for number line.

What is inequality?

An inequality is a mathematical statement indicating that one expression is less than or greater than another expression. It involves the use of inequality symbols such as <, >, ≤, or ≥ to compare two values.

|(1/4)x + 2| + 4 >= 8

First, we isolate the absolute value term on one side by subtracting 4 from both sides:

|(1/4)x + 2| >= 4

Next, we split the inequality into two cases: one where the quantity inside the absolute value is positive, and one where it is negative:

(1/4)x + 2 >= 0 or (1/4)x + 2 <= 0

Solving for x in each case, we get:

(1/4)x >= -2 or (1/4)x <= -2

x >= -8 or x <= -8

Therefore, the solution to the inequality is:

x <= -8 or x >= -8

Or, in interval notation:

(-∞, -8] U [-8, ∞)

B. -24 -20 -16 -12 -8 -4 0 4 8 12 16 20 24

And the solution would be:

[-24, -11] U [7, 24]

The closed dot at -24 indicates that -24 is included in the solution, while the open dot at -11 indicates that -11 is not included.

The closed dot at 7 indicates that 7 is included, while the closed dot at 24 indicates that 24 is included in the solution.

Therefore, the solution to the inequality is: x <= -8 or x >= -8 and [-24, -11] U [7, 24] for number line.

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Answer:

68

Step-by-step explanation:

That's an intersection, meaning that all 4 sides are equal. So if one is 90⁰, then they are all 90⁰. 90-22= 68

The area of the composite figure is equal to 26 square units.

Herein we find a composite figure formed by a parallelogram and a rectangle, whose area formula is described below:

Parallelogram / Rectangle

A = b · h

Where:

Now we determine the area of the composite figure:

Rectangle

b = √(3² + 1²)

b = √10

h = √(2² + 6²)

h = 2√10

A = √10 · 2√10

A = 20

Parallelogram

A = 6 · 1

A = 6

Composite figure

A = 20 + 6

A = 26

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Answer:

n = 16

Step-by-step explanation:

8n/9 = 6.4/0.45

Cross multiply.

0.45 * 8n = 9 * 6.4

3.6n = 57.6

n = 16

Answer:

Step-by-step explanation:

8n  =   6.4

9        0.45

simplify:

8n  =  14.222

9      

cross multiply:

8n = 14.222 (9)

n = 128

        8

n = 16

The type of sytudy that we have here is the observational study.

In an observational study, the researcher observes and analyzes data from individuals without actively intervening or manipulating any variables.

In this case, the researcher is observing and comparing the health outcomes of two groups of individuals: those who have eaten a vegan diet for the past five years and those who have not.

The participants are not randomly assigned to the groups, and the researcher does not actively control or manipulate the diet of the individuals.

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The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function for this problem is given as follows:

f(n) = 3(n + 2)²(n - 3)(n - 2).

Considering the degree, the function can be interpreted as follows:

\(3n^4\)

(for the limit when the input goes to infinity we consider only the term with the highest degree).

The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:

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Constant of proportionality, k, is the ratio of the quantity of variable y to the quantity of variable x.

Using a point on the line, (4, 44),

Constant of proportionality, k = .

Constant of proportionality of the graph is 11.

Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

19 7/20 feet

Step-by-step explanation:

1. \(2\frac{5}{8}\) pieces of wood

\(2\frac{5}{8} * 6 = 15\frac{3}{4}\)

2. \(1\frac{1}{5}\) pieces of wood

\(1\frac{1}{5} * 3 = 3\frac{3}{5}\)

3. Combined

\(15\frac{3}{5} +3\frac{3}{5} = 19\frac{7}{20}\)

Answer:

Step-by-step explanation:

20=total marbles

  7/20 × 6/20=  21/400   or 5.25%

   red     white

Answer:

To find the effective annual rate (EAR) of an account that pays interest at the nominal rate of 7% per year, compounded daily, we can use the following formula:

EAR = (1 + r/n)^n - 1

where r is the nominal annual interest rate (expressed as a decimal), and n is the number of times the interest is compounded in a year.

For daily compounding, n = 365 (since there are 365 days in a year), so we have:

EAR = (1 + 0.07/365)^365 - 1 = 0.0725 or 7.25%

To find the effective annual rate for hourly compounding, we need to adjust the value of n to account for the fact that interest is compounded more frequently. There are 365 days * 24 hours = 8,760 hours in a year, so we can use n = 8,760:

EAR = (1 + 0.07/8760)^8760 - 1 ≈ 0.0727 or 7.27%

Therefore, the effective annual rate for hourly compounding is approximately 7.27%.

If vector B is added to vector A and the resultant is a null vector then A and B are equal and have opposite directions

We are given two vectors, vector A and vector B.

Now, vector B is added to vector A and it is said that the resultant of this addition is a null vector. It can be written as

vector B + vector A = 0

It can also be written as

vector A = 0 - vector B

vector A =  - vector B

We can see that the magnitude of both the vectors, vector A and vector B are equal. The minus sign here represents that the direction of vector B is opposite to vector A

Hence, we can conclude that if vector B is added to vector A and the resultant is a null vector then A and B are equal and have opposite directions

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Answer:

57785/_6÷=6=×÷6776==677/÷567

Answer:

Step-by-step explanation:

The function which models exponential growth or decay can be represented as:

Therefore, for the given functions:

Answer:

b

Step-by-step explanation:

is b answer

is b answer

is b answer

Answer:

f(x) - g(x) = x^3 - 3x^2 - 4x - 4

Step-by-step explanation:

f(x) - g(x)

x^3 - 2x^2 - 3x - 5 - ( x^2 + x - 1 )

x^3 - 2x^2 - 3x - 5 - x^2 - x + 1

x^3 - 3x^2 - 4x - 4