Brian wants to determine the best date for the seventh grade carnival. he plans to survey a random sample of seventh graders to choose the best date. how can brian select a random sample of the seventh graders in his school?

Step-by-step explanation:

hope it was answer.. mark me briliant

Answer:284

Step-by-step explanation:

4544 divided by 16

Answer:

11 I think

Step-by-step explanation:

just subtract!

30 - 19 = 11

Answer:

1) 3.25 gallons

2)12-1.75tt

Step-by-step explanation:

1) gallons per hour x number of hours

1.75x5 = 8.75 gallons

subtract your answer from what he currently has

12 - 8.75 = 3.25 gallons

Answer:

73

Step-by-step explanation:

Answer:

y = 5/4x + 12

Step-by-step explanation:

5x - 4y = 4

-4y = -5x + 4

y = (-5x + 4)/-4

y = 5/4x - 1

Parallel Slope ---> m = 5/4

(-8, 2)

y = mx + b

2 = 5/4(-8) + b

2 = 5 * -2 + b

2 = -10 + b

12 = b

b = 12

y = 5/4x + 12      <---- This is the answer

Hope this helps!

When Claire and Megan meet, they will be $13\frac{1}{2}$ miles away from the outpost.

Speed is the rate at which an object moves or travels over a period of time. It is measured in units such as meters per second (m/s) or kilometers per hour (km/h). Speed is a scalar quantity, meaning it has only magnitude and not direction. For example, a car travelling at 30 km/h has a speed of 30 km/h regardless of the direction it is travelling.

This is because Claire runs at a faster speed than Megan and will reach the outpost first. When she turns around and runs back, she will have gone $9$ miles, and Megan will have gone $8\frac{1}{2}$ miles. When they meet, they will have gone a total of $17\frac{1}{2}$ miles, leaving them $13\frac{1}{2}$ miles away from the outpost.

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When Claire and Megan meet, they will be \(13\frac{1}{2}\) miles away from the outpost. This can be solved by applying the concept of speed.

Speed is the rate at which an object moves or travels over a period of time. It is measured in units such as meters per second (m/s) or kilometers per hour (km/h). Speed is a scalar quantity, meaning it has only magnitude and not direction. For example, a car travelling at 30 km/h has a speed of 30 km/h regardless of the direction it is travelling.

This is because Claire runs at a faster speed than Megan and will reach the outpost first. When she turns around and runs back, she will have gone 9 miles, and Megan will have gone \(8\frac{1}{2}\) miles. When they meet, they will have gone a total of \(17\frac{1}{2}\) miles, leaving them \(13\frac{1}{2}\)miles away from the outpost.

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Answer:

24m^3

Step-by-step explanation:

Volume is L x W x H which is base times width times height. So you take the Length (3), the width (4) and the height (2) you multiply them together to get 24m. but your not done. you have to add the exponent

If you rent a car, you should choose Option 3 and accept the fixed price of $50 for gasoline if you expect to drive 150 miles.

1. Total gasoline consumed (gallons):

To calculate the total gasoline consumed, divide the expected distance by the car's fuel efficiency:

Total gasoline consumed = Distance / Fuel efficiency

Total gasoline consumed = 150 miles / 28 miles per gallon

Total gasoline consumed ≈ 5.36 gallons

2. Option 1 cost:

In Option 1, you need to return the car with a full gas tank. Since the car has a 16-gallon tank and you've consumed approximately 5.36 gallons, you need to fill up the remaining 16 - 5.36 = 10.64 gallons.

Option 1 cost = 10.64 gallons * $3.95 per gallon = $42.01

3. Option 2 cost:

In Option 2, you return the car without filling it up and pay $5.45 per gallon. As calculated before, you've consumed approximately 5.36 gallons.

Option 2 cost = 5.36 gallons * $5.45 per gallon = $29.20

4. Option 3 cost:

In Option 3, you accept the fixed price of $50 for gasoline. This fixed price is the most cost-effective option compared to the other two choices.

Therefore, the best choice is Option 3, accepting the fixed price of $50 for gasoline, as it offers a better value for the expected distance of 150 miles.

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Answer:

.72x + .27 = .36(x + 3)

For this problem we know that David worked 7 173 hours today and planted 11 trees. And we want to find How long did it take him to plant each tree?

So we can set up the following equation:

And solving for x we got:

It took him 1.5 hour to plant each tree.

​

Answer:

a) 7/12

b) 5/9

Step-by-step explanation:

a)  

\(\frac{7}{12} = \frac{49}{84}\\\\\frac{4}{7} = \frac{48}{84}\\\\\frac{49}{84} > \frac{48}{84}\\\\\frac{7}{12} > \frac{4}{7}\)

b)

\(\frac{6}{11} = \frac{54}{99}\\\\\frac{5}{9} = \frac{55}{99}\\\\\frac{55}{99} > \frac{54}{99}\\\\\frac{5}{9} > \frac{6}{11}\)

Answer:

X = 7

Step-by-step explanation:

Answer:

Cost price=100%

Step-by-step explanation:

Answer:

\(t = \frac{4\pi {}^{2} l}{g} \)

Step-by-step explanation:

\(l(4\pi ^{2} ) = gt \\ \frac{4\pi {}^{2} l}{g} = t \\ t = \frac{4\pi {}^{2} l}{g} \)

Answer:

a = 4

Step-by-step explanation:

Plug in the b-value which is a-5 into the equation to make it look like this, 2a + 3(a - 5) = 5.  Then, distribute 3 into a - 5 to get 3a - 15 when expanded.  Combine the two like terms 2a and 3a to get 5a.  Then, add 15 on both sides to get to this equation which is 5a = 20.  Divide 5 on both sides to get your a-value which is 4.

The amount in the account after 10 years is $4,978.365.

Interest is the sum of money that must be repaid on a loan or received in exchange for a loan. Principle refers to the borrowed or lent funds. The Amount is the total of the principal plus interest. The term "rate of interest" refers to the rate at which interest is applied to the principal.

Given:

P= $450

R= 2.225%

n= 10

So, Amount = d [\((1+i)^n\) - 1 ] / i

A = 450 x [\((1+0.02225)^{10\) - 1 ] / 0.02225

A = 450 x (1.24615249763-1) / 0.02225

A = 450 x 0.24615249763/ 0.02225

A = 4,978.365

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Step-by-step explanation:

Start with $20.00.

Subtract the change, $4.08, from $20.00 to find out the amount he spent on 8 notebooks.

Then divide the amount he spent by 8 to find the cost of one notebook.

Answer:

$1.99

Step-by-step explanation:

20 - 4.08 = $15.92

15.92 divided by 8 = $1.99

The function h(t) represents the value of Mark's account after t years, considering both a constant function f(t) and an exponential function g(t).

Therefore, the correct option is:

$3694

The constant function f(t) is given as f(t) = 2500, which means Mark's account will have $2500 regardless of the number of years.

The exponential function g(t) is given as g(t) = 1.05^t. This function represents the growth of Mark's account with an interest rate of 5% (1.05 is the factor representing a 5% increase).

To determine the value of the account after 8 years, we need to calculate h(8) by combining the two functions:

h(t) = f(t) * g(t)

h(8) = f(8) * g(8)

h(8) = 2500 * (1.05^8)

Let's calculate the value:

h(8) ≈ 2500 * 1.46933

h(8) ≈ 3673.325

Rounding to the nearest dollar, the value of the account after 8 years is approximately $3,673.

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Answer:

The list of set of dimensions for fencing the building around a rectangular plot of land is 14.5 meters and 29 meters.

Area of a rectangle

area of rectangle = lw

where

l = length

w = width

Therefore,

perimeter = 2w+ l

58 = 2w + l

l = 58 - 2w

Hence,

area = w(58 - 2w)

380 = 58w - 2w²

-2w² + 58w - 380 = 0

-w² + 29w - 190 = 0

The dimension w can be found as follows;

w = - b / 2a

where

a = -1

b = 29

w = - 29 / 2 ×  -1

w = 14.5 meters

Then,

l = 58  - 2w

l = 58 - 2(14.5)

l = 29 meters

Therefore, the dimensions are 14.5 meters and 29 meters.

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Answer:

See attached

Step-by-step explanation:

Refer to attachment

Answer:

see below

Step-by-step explanation:

a.  Law of syllogism,  the statement is not true.

b.  No valid conclusion

c.  Law of detachment, the statement or conclusion is true.

The probability that exactly 7 customers are very satisfied is 0.75.

So, the probability that exactly 7 customers are satisfied.

We know that a total of 93% of customers are satisfied.

Then, get 93% of 10:

10/100 × 93

0.1 × 93

9.3

Probability formula: P(E) = Favourable events/Total events

F(E) = 7 and T(E) = 9.3

Now, calculate as follows:

P(E) = Favourable events/Total events

P(E) = 7/9.3

P(E) = 0.75

Therefore, the probability that exactly 7 customers are very satisfied is 0.75.

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Correct question:
Use excel to find the following binomial distribution probabilities. a hotel claims that 93% of its customers are very satisfied with its service. complete parts a through e below based on a random sample of 10 customers. (4 points) a) what is the probability that exactly 7 customers are very satisfied?

Answer:

She has 12 quarters.

Step-by-step explanation:

You have two unknowns, the number of quarters and the number of dimes. You need one equation per unknown, so you need two equations. One equation deals with the number of coins. The other equation deals with the values of the coins.

The first step is to choose variables. We can go with x and y, but I prefer to choose q and d, so I remember more easily what they represent.

Let q = number of quarters.

Let d = number of dimes.

Let's deal with the numbers of coins first.

"Georgina has 14 more dimes than quarters"

She has q number of quarters, but the number of dimes is 14 more than the number of quarters. d is 14 more than q. Our first equation is

d = q + 14

Now we deal with the values of the coins.

We don't know yet the actual numbers of dimes and quarters, so we use d and q to represent those numbers.

One dime is worth $0.10; d number of dimes is worth 0.1d.

A quarter is worth $0.25; q number of quarters is worth 0.25q.

The total value of the dimes and quarters is the sum of the values of the two sets of coins:

0.1d + 0.25q

We are told "Georgina has $5.60 in quarters and dimes."

This gives us our second equation.

0.1d + 0.25q = 5.6

Now we have a set of two equations in two variables:

d = q + 14

0.1d + 0.25q = 5.6

There are several methods for solving a system of equations. Since the first equation is already solved for a variable, d, we can use the substitution method.

We rewrite the second equation, but we substitute q + 14 for d in the second equation.

Second equation:

0.1d + 0.25q = 5.6

Substitute q + 14 for d:

0.1(q + 14) + 0.25q = 5.6

Distribute on the left side:

0.1q + 1.4 + 0.25q = 5.6

Combine like terms on the left side:

0.35q + 1.4 = 5.6

Subtract 1.4 from both sides:

0.35q = 4.2

Divide both sides by 0.35:

q = 12

There are 12 quarters.

(You are asked only the number of quarters, so you can stop here. I will continue to find also the number of dimes for 2 reasons. 1) You see how it's done, so it will help with other problems. 2) By finding the numbers of dimes and quarters, then we can check if our solution is correct, which I will do below at the end.)

Now we use the first equation, d = q + 14. We substitute 12 for q and solve for d.

d = q + 14

d = 12 + 14

d = 26

There are 26 dimes.

Check:

We check the numbers of coins:

26 - 12 = 14 The number of dimes is indeed 14 more than the number of quarters.

We check the values of the coins:

0.1(26) + 0.25(12) = 2.6 + 3 = 5.6 The value of the coins is indeed $5.60.

Our answer is correct.

To calculate the 90% confidence interval for the average EPS of all industrials listed on the DJIA, we will use the formula:

Confidence interval = sample mean ± (critical value * standard deviation / √sample size)

Step 1: Find the critical value.
Since we want a 90% confidence interval, the corresponding critical value can be obtained from the z-table. The critical value for a 90% confidence level is 1.645.

Step 2: Calculate the margin of error.
The margin of error is given by (critical value * standard deviation / √sample size).
Substituting the values, we get: 1.645 * 0.395 / √9 = 0.29175.

Step 3: Calculate the confidence interval.
The confidence interval is given by the sample mean ± margin of error.
Substituting the values, we get: 1.85 ± 0.29175.

The 90% confidence interval for the average EPS of all industrials listed on the DJIA is (1.55825, 2.14175).

We can be 90% confident that the true average EPS of all industrials listed on the DJIA falls within the range of 1.55825 to 2.14175.

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Answer:

55 minutes

Step-by-step explanation:

→ Work out long it will take to get to 7:00

7:00 - 6:10 = 50 minutes

→ Work out how much extra time after 7:00

7:05 - 7:00 = 5 minutes

→ Add the 2 answers together

50 + 5 = 55 minutes

The constant of proportionality (r) in the equation y = r * x is approximately equal to 963.702.

To find the constant of proportionality (r) in the equation y = r * x, we can use the given data points where xxx and yyy are proportional. Let's analyze the data:

Data Point 1: xxx = 333, yyy = 303030

Data Point 2: xxx = 101010, yyy = 100100100

Data Point 3: xxx = 161616, yyy = 160160160

To determine the constant of proportionality (r), we need to find the ratio between yyy and xxx for each data point. Let's calculate these ratios:

Ratio 1: yyy/xxx = 303030/333 ≈ 909.909

Ratio 2: yyy/xxx = 100100100/101010 ≈ 990.099

Ratio 3: yyy/xxx = 160160160/161616 ≈ 990.099

From these ratios, we can observe that they are approximately equal to each other. Therefore, we can conclude that the constant of proportionality (r) is approximately equal to the average of these ratios:

r ≈ (909.909 + 990.099 + 990.099) / 3 ≈ 963.702

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Answer:

You need 4 severing's of 1 1/2 quarts and 3/4 of grape juice to make 9 quarts of grape juice

Step-by-step explanation:

(1 1/2 + 3/4) x 4= 9