A grocer purchases 20.2 pounds of roast beef for a bulk rate price of $39.20.

A grocer purchases 20.2 pounds of roast beef for a bulk rate price of $39.20. How much does the grocer pay per pound?

2 months ago

Solution 1

Guest Guest #2390795
2 months ago

Answer:

$0.52 per pound

Step-by-step explanation:

Divide 20.2 by 39.20

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22 random samples were selected from a population that has a normal distribution the sample has a mean of 99 and a standard deviation of 5 construct a 95% confidence interval for the population standard deviation .
Solution 1

Answer:

(96.91, 101.09)

Step-by-step explanation:

To calculate the interval, you require the Z value at 95% confidence interval. The Z value is 1.96. The formula to calculate the confidence interval:

X-Zs/\sqrt{x} \\X+Zs/\sqrt{x}

Where X is the mean and s is the standard deviation and x the sample size:

99-1.96\cdot{5}/\sqrt{22} \\99+1.96\cdot{5}/\sqrt{22}

The interval is (96.91, 101.09)

Solution 2

Answer:

4, 7

Step-by-step explanation:

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4. Find an equation for a line that goes through the points (2, -14) and (10, 10).
Solution 1

Answer:

y = 2x -10

Step-by-step explanation:

slope is change of y over the change in x

10 - (-14) = 24

10 - 2 = 8

24/8 = 3

y -10 = 2 (x-10)

y - 10 = 2x -20

y = 2x -10

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9. The area of a yard is given by the equation y = x2 – 12x + 32. If the length of the garden is given by the expression x – 4, what is the width of the yard?
Solution 1

Answer:

The width of the yard is given by the expression (x - 8).

Step-by-step explanation:

We are given the following in the question:

Area of yard, y =

y = x^2 - 12x + 32

Length of garden =

x -4

We have to find the with of the garden.

Area of yard =

\text{Length}\times \text{Width}

Putting the values, we get:

x^2 - 12x + 32 = (x - 4) \times \text{Width}\\\\\text{Width} = \dfrac{x^2 - 12x + 32}{x-4}

Now,

x^2 - 12x + 32 \\=x^2 - 8x - 4x + 32\\=x(x-8)-4(x-8)\\=(x-8)(x-4)

\text{Width} = \dfrac{x^2 - 12x + 32}{x-4} = \dfrac{(x-8)(x-4)}{(x-4)} = x - 8

Thus, the width of the yard is given by the expression (x - 8).

Question
257 orang ahli Kelab Dart membuat kutipan RM25 setiap orang. 45% daripada jumlah kutipan itu dibelanjakan untuk jamuan akhir tahun, 65% daripada bakinya untuk cenderamata dan RM550 untuk bayaran tempahan jersi kelab. Berapakah baki wang yang tinggal
Solution 1

Answer:

RM 687.3

Step-by-step explanation:

Number of members = 257

Each member makes = RM 25

So, total money = 257×25= RM 6425

1- 45 % of 6425 = 45 /100 × 6425=RM 2891.25

So, RM 2891.25  was spent for the year-end banquet. Hence remaining money after this expenditure = 6425-2891.25= RM 3533.75

2- 65 % of this remaining money = 65 /100 × 3533.75= RM 2296.45

So, RM 2296.5 were spent on souvenirs. Hence remaining amount = 3533.75 - 2296.45 =  RM 1237.3

3- Out of this remaining money RM 550 were spent for club jersey booking fees.

So, amount left = 1237.3 - 550 = RM 687.3

Question
A state offers two lottery games. Winone and PlayBall. Both games cost $2 per ticket. • In Winone the player picks a single letter from A to J and a single digit from 0 to 9. If both the letter and the digit match the letter and the digit picked on that day, the player wins $150 • In Playball, the player picks a single letter from A to Tand a single digit from 0 to 9. If both the letter and the digit match the letter and the digit picked on that day, the player wins $280. If the cost of a Playball lottery ticket were changed to $1 and the prize to $250, what would the expected value be? A $0.85 B5025 c. $025 D $0.75
Solution 1

Answer:

Step-by-step explanation:

Given that  In Playball, the player picks a single letter from A to Tand a single digit from 0 to 9. If both the letter and the digit match the letter and the

digit picked on that day, the player wins $280, changed to 250.

Game cost = 1 dollar

There are 20 alphabets and 9 digits

No of ways to select at random = 20*9 = 180

No of ways to win = 1

So probability to win = \frac{1}{180}

Since he has to pay 1 dollar whether he wins or not

PDF of X amount net won or net value would be

X   -1        249   Total

p    \frac{179}{180}     \frac{1}{180}         1

xp  -\frac{179}{180}    \frac{249}{180}        \frac{70}{180} =\frac{7}{18}

Expected value = 0.38889

Solution 2

Answer:

C. $0.25

Step-by-step explanation:

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6. A government's economic role is complicated by the fact that A. public goods entail no opportunity costs. B. the public sector can't base decisions on marginal costs and marginal benefits. C. economic decisions are made in a political context. D. the marginal utility of public goods rises rather than falls.
Solution 1

Answer:B

Step-by-step explanation:

Question
61 random samples of city rent prices are selected from a normally distributed population the samples have a mean of $738 and a standard deviation of $41 construct a 95% confidence interval for the population standard deviation
Solution 1

Answer:

(728, 748)

Step-by-step explanation:

You need the Z value which for 95% confidence interval is 1.96. The mean is $738 and the standard deviation of $41.

X-Zs/\sqrt{n} \\ X+Zs/\sqrt{n}

Therefore we can calculated the confidence interval

738-1.96\cdot{41}/\sqrt{61} =738-10.3

738±10.3

The interval is (728,748)

Question
7. A dealership recently sold a 4-door sedan, which it purchased for $18,000, at 15% markup. It accepted a trade-in for it, and it paid $5000 for the trade. Next, it marked the trade-in up 25% and sold it in a week. What was the dealership's profit on these two vehicles?
Solution 1

Answer:

The answer is 3950 $

Step-by-step explanation:

First we will calculate the two profits the dealership earned.

1. Profit on purchase.

18000 x 15% = 18000 x 0.15

=2700 $

2. Profit on Sale:

5000 x 25% = 5000 x 0.25

= 1250$

3. Adding both profits:

Total profit = 2700 + 1250 = 3950 $

Solution 2

Answer:

4100

Step-by-step explanation:

Question
Expressions that are equivalent to 9x + 7x + 8 - 7x - 9.
Solution 1

\text{Hey there!}

\mathsf{9x+7x+8-7x-9}

\mathsf{Combine\ your\ like\ terms}

\mathsf{Like\ terms \ \#1: 9x,7x, \  \& \ -7x}

\mathsf{Like\ terms\ \#2: 8\  \& \ -9}

\mathsf{(9x+7x-7)+(8-9)}

\mathsf{Now\ solve!}

\mathsf{9x+7x-7x}\\\mathsf{9x+7x=16x}\\\mathsf{16x-7x=9x}\\\mathsf{\underline{=9x}}\leftarrow\mathsf{left\ value}

\mathsf{8-9=-1}\\\mathsf{\underline{=-1}}\leftarrow{\mathsf{right\ value}}

\mathsf{Finally\ we\ have\ the\ answer\ to\ your\ question!}

\boxed{\boxed{\huge\text{\bf{Answer:9x - 1}}}}\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{LoveYourselfFirst:)}

Question
- Trevon invested $1.500 in an account with an interest rate of 4.25%. If he plans to retire in 18 1/2 years, how much total will be in the account?​
Solution 1

Answer:

I=PRT is the formula

Step-by-step explanation:

Principal is $1,500. The interest rate is 4.25% and the time is 18.5 years.

That's all i know good luck