Three candy bars and one soda costs $5.63.
At the same price, one candy bar and four sodas
cost $4.81. How much does a candy bar cost?

Answer:

To solve this problem, we can use conditional probability.

First, let's find the probability that both components selected for testing are satisfactory. Since we're selecting without replacement, the probability of both being satisfactory is (95% * 94%) = 90.3%.

Next, let's find the probability that both components selected for testing are defective. This is (5% * 4%) = 0.2%.

Now, let's find the probability that one component is defective and the other is satisfactory. We can find this by multiplying the probability of one component being defective (5%) by the probability of the other component being satisfactory (94%). This gives us (5% * 94%) = 4.7%.

Finally, we'll find the probability that the batch will be accepted. The batch will be accepted if both components are satisfactory or if only one component is defective and the other component selected is satisfactory. The probability of this is 90.3% + 4.7% = 95%.

So the probability that the batch will be accepted is 95%.

Answer: 835 yards is equal to 0.764 kilometer.

Step-by-step explanation: One yard is equal to about 0.0009144 kilometer. In order to answer the question, we just have to multiply this by 835. This gives us about 0.763524.

In order to round to three significant figures, we start counting from the first non-zero number within this value - which would be 7. This means that 3 is our third significant value, and because a 5 comes after it we round up to four.

Thus, our final answer is 0.764.

Answer:

To solve for x in this equation, you can follow these steps:

Subtract 5 from both sides: 2/3x = -4

Multiply both sides by 3/2 to cancel out the denominator on the left side: x = -6

So the solution for x is -6

So, 2/3x + 5 = 1 becomes 2/3(-6) + 5 = -4 + 5 = 1

Answer:

it is 4

Step-by-step explanation:

the slope is always the number before x and so since 4 is before x then 4 is the answer

The true statement about a histogram is A. A peak is a higher bar than the other bars around it.

A histogram is a pictorial representation of data using vertical bars of equal width but different heights with no spaces between the bars.

Histograms are graphical representations of the frequency of numerical data using rectangular bars.

The height of the histogram represents the frequency of the variable of interest.

A Histogram as a graph shows the distribution frequency of continuous data, making it easier to interpret.

Histograms summarize and provide a visual interpretation and comparison of data.

Thus, the highest bar in height represents the peak; therefore, Option A is correct since Options B, C, and D do not refer specifically to a histogram.

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A finance charge includes Interest, fees, and principal, So the correct answer is Option (B) Interest, fees, and principal.

A finance charge is a fee incurred when using a credit or extending credit that already exists. A fixed rate or a percentage of borrowings may be used to calculate finance charges; the latter is more common.

A finance charge is usually made up of the cost of carrying the debt as well as any related transaction fees, account management fees, or late fees imposed by the lender.

Finance charges are a way for a lender to get paid for giving a borrower credit or access to funds. These costs could be one-time payments, like the origination fee for a loan, or they could be interest payments that could be repaid daily or monthly. A finance charge includes Interest, fees, and principal

Therefore,

A finance charge includes Interest, fees, and principal, So the correct answer is Option (B) Interest, fees, and principal.

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Answer:

52%

Step-by-step explanation:

First solve for the remainder:

remainder = 100% - 40%

remainder = 60% since 60% is left after 40% is spent on food.

Now solve for the percent of the total allowance spent:

20% of the remainder =

20% of 60% =

20% * 60% =

20% * 60/100 =  ==> 60% = 60/100

1200% / 100 =

12 / 100 =   ==> 1200% = 12 * 100%

                    12 * 100% = 12 * 1 = 12

12 / 100 = 12% spent on transport

Now add up the percent spent on food and the percent spent on transport:

40% + 12% = 52%

The obvious conclusion from this question is that. C. if you are not a baby, then you are not despised.

Logic can be defined as the study of rational thinking. It contains both formal and informal logic. Deductively sound inferences or logical truths are studied in formal logic. It is a formal science that examines the topic-neutral ways in which conclusions flow from premises. As opposed to informal logic, which is connected to argumentation theory, critical thinking, and informal fallacies, formal logic is a branch of logic.

Philosophy, mathematics, computer science, and linguistics are just a few of the disciplines where logic is crucial. A set of premises and a conclusion make up an argument, which is the subject of logic. Arguments can be proven right or wrong. If the premises of an argument support the conclusion, then it is valid.

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Answer: A and B are not independent, but mutually exclusive.

Step-by-step explanation:

Independence means that the probability of one event happening does not affect the probability of the other event happening. Mutual exclusivity means that the two events cannot happen at the same time.

In this case, we know that P(B|A) = 0.80, which means that the probability of Mark making a second goal given that he made the first goal is 0.80. This is different from P(B) = 0.55, the probability of Mark making a second goal without any information about whether he made the first goal. This means that the probability of event B is affected by whether event A has occurred, so A and B are not independent.

However, A and B are mutually exclusive, because Mark can either make his first goal or not, but can not make it at the same time.

Answer: p > 10

Step-by-step explanation:

If one pound of candy is $7, then ten pounds of candy would be $70. If Jenny plans on spending more that $70, this means that she plans on buying more that ten pounds of candy, which shows that p (the number of pounds of candy she will buy) is greater than ten.

I hope this helps!!

Answer:

e + 8

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sorry but there isn't a picture here

Answer: 18 horses and 16 chickens

Step-by-step explanation:

horses = h , chickens = c

h + c = 34

4h + 2c = 104, or simplified, 2h + c = 52

Now we just use systems of equations to solve. I will subtract the second equation from the first.

(2h + c = 52) -

(h + c = 34)

so simplified, our system becomes h = 18. Therefore, there are 18 horses. Now we can plug this value into h for any of the equations to get c, the amount of chickens.

18 + c = 34

c = 16.

Therefore, there are 18 horses and 16 chickens.

Answer:

x=2/3

Step-by-step explanation:

If I am correct, I would make them both equal each other.

6x=3x+2

3x=2

x=2/3

6(2/3)=3(2/3)+2

4=2+2

4=4

Answer:

$175,000.

Step-by-step explanation:

The amount of money that will be spent on specialty fees is $35,000,000 x 0.5% = $175,000.

Answer:

$175,000

Step-by-step explanation:

To calculate the amount of money that will be spent on specialty fees, we need to multiply the total amount of money raised (35,000,000) by the specialty fee percentage (0.5%).

fees = 35,000,000 * 0.005 = 175,000

So, $175,000 will be spent on specialty fees.

To calculate the amount of money that will be spent on service commission, we need to multiply the total amount of money raised (35,000,000) by the service commission percentage (2%).

commission = 35,000,000 * 0.02 = 700,000

So, $700,000 will be spent on service commission.

[tex] { (\frac{ {b}^{6} }{ {a}^{3} })}^{ \frac{1}{3} } \\ = \frac{ {b}^{6 \times \frac{1}{3} } }{ {a}^{3 \times \frac{1}{3} } } \\ = \frac{ {b}^{2} }{a} [/tex]

Answer:

b^2/a

Hope it helps.

If you have any query, feel free to ask.

Answer:

Slope intercept form : y = 4x -3

Step-by-step explanation:

Answer: -4/5

Step-by-step explanation:

(0,2) and (4,-3) are two coordinates here.

Using the slope formula, i.e, m = (y₂ - y₁)/(x₂ - x₁) = 4/-5 = -4/5

Answer:

Step-by-step explanation:

Ben has a piece of plywood that measures 1 yard on each side, and he cuts it into 6 equal pieces.

The width of each piece is 1/3 yard, and the length of each piece is 1/2 yard.

To find the area of each piece that Ben cuts, we can multiply the width and length of each piece:

Area = (1/3 yard) x (1/2 yard)

Area = (1/3) x (1/2)

Area = 1/6 yard^2

So each piece that Ben cuts has an area of 1/6 yard^2.

The product 1/2x1/3 relates to the model in that it represents the area of the piece. In other words, the length and width are multiplied to find the area of the piece.

In this case, we can see that Ben cuts the plywood into 6 pieces of equal area, which is 1/6 of a square yard.

Answer:

8x+4=17

Step-by-step explanation:

it's B.4 approximately .. sorry for not explaining in details

The equation, 6(-2 + 4) = -12 + 24, illustrates E. the Distributive Property of Multiplication over Addition.

In this mathematical property, the multiplication of two or more addends by a number results in the same value as multiplying each addend individually by the number and then adding the products together.

For instance, 6(-2 + 4) = -12 + 24

= 12

OR:

6(-2 + 4) = 6 x 2

= 12

In this situation, we can either multiply the numbers in parenthesis individually by 6 or sum the parenthesis and then multiply the sum by 6.  Either way yields the same result, showing that multiplication is distributive.

Thus, in the equation, the property illustrated is Option E, not the commutative properties of addition and multiplication, the inverse properties of addition and multiplication, the associative properties of addition and multiplication, or the identity properties of addition and addition multiplication.

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Answer:

a. To find the cost to surround the forest with a fence, we first need to determine the perimeter of the forest. The problem tells us that the perimeter is 45 yd. To convert this to feet, we can use the conversion factor of 3 feet per 1 yard. So, the perimeter in feet is:

45 yd x (3 ft/1 yd) = 135 ft

Next, we need to multiply the perimeter by the cost per foot to install fencing. We're told this cost is $6 per foot, so we can calculate the cost as:

135 ft x $6/ft = $810

b. To determine which region costs more to prepare, we need to calculate the cost per square yard for both the grassland and the forest. We're told that the cost to prepare 1 square yard of grassland is $15 and the cost to prepare 1 square yard of forest is $25.

To find the total cost for the grassland, we'll multiply the area of grassland with the cost per square yard:

2400 yd x $15/yd = $36,000

To find the total cost for the forest, we'll multiply the area of forest with the cost per square yard:

60 yd x $25/yd = $1,500

We can see that the grassland cost $36,000 to prepare while the forest cost $1,500 which means Grassland costs more to prepare.

The values in the table that represent the second piece of the function f(x) is the option;

A 2-column table has 3 rows. The first column is labeled x with entries 1, 2, 3. The second column ism labeled f(x) with entries 6, 4, 2

A function maps the values in the set of input variables to the values in the set of output variables.

The functions are presented as follows;

First row; f(x) = -3.5·x + 0.5; x < 1

Second row; f(x) = 8 - 2·x; When x ≥ 1

The second piece of the function is therefore;

f(x) = 8 - 2·x; When x ≥ 1

The possible values of x, which are values in the domain are; 1, 2, 3

The values of f(x), which are values in the range are therefore;

f(1) = 8 - 2 × 1 = 6

f(2) = 8 - 2 × 2 = 4

f(3) = 8 - 2 × 3 = 2

The values of x and f(x) are therefore;

x     [tex]{}[/tex] f(x)

1 [tex]{}[/tex]     6

2 [tex]{}[/tex]    4

3 [tex]{}[/tex]    2

The correct option that represents table for the second piece of the function, f(x) is therefore;

A 2-column table has 3 rows. The first column is labeled x with entries 1, 2, 3. The second column is labeled f(x) with entries 6, 4, 2

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Answer: C. or third chart

Step-by-step explanation:

Got it right!!

Answer:

2.4375 pounds

Answer:

7 x 16 inches.

Step-by-step explanation:

Since your answer is in inches, first convert feet to inches by multiplying the value by 12.

(3 1/2) x 12 = 42 inches

(8) x 12 = 96 inches

Since the dimensions of the door of the dog's house are 1/6 that of the Smith's house, multiply each of the Smith's dimensions by 1/6 (or divide by 6)

42 / 6 = 7 inches         42 x 1/6 = 7 inches

96 / 6 = 16 inches       96 x 1/6 = 16 inches

Answer:

-----------------------------

Given equation:

In order to solve it by graphing, plot two lines:

The solution is the x-coordinate of the intersection of the lines:

See the attached

Given equation:

Similar to the previous question, plot the lines and take the x-coordinate of the intersection as solution.

The solution is x = 1.

See the attached.

A rectangle that is scaled to be 4 times the size of the given rectangle would have the dimensions of 27.6 x 20.8.

When a rectangle is said to be scaled to be a certain number of times more than the size of another rectangle, it means that both rectangles will have the same shape and orientation, but their dimensions will be different.

This difference will come from the change that the scale factor brought about. In this instance, the scale factor is 4 times which means that the second rectangle will be 4 times the size of the first.

The first dimension would be :

= 6 . 9 x 4

= 27.6 units

The second dimension would be:

= 5 . 2 x 4

= 20. 8 units

The dimensions would then be:

27. 6  x 20. 8

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