of all the 100 items i buy today, id like 8% of them to be cupcakes. How many cupcakes is that

Answer:

y^-1 = x - 6

Step-by-step explanation:

change f(x) to 'y'

switch 'x' and 'y'

solve for 'y'

Answer:

Step-by-step explanation:

y = x + 6

x = y + 6

y + 6 = x

y = x - 6

f^-1(x) = x - 6

Answer: 3

Step-by-step explanation:

Answer:

There isn't enough evidence to indicate that the mean number of TVs in Rocklin households is higher than the reported national average .

Step-by-step explanation:

This is a one sample mean test ;

H0 : μ = 2.7

H1 : μ > 2.7

Given the data :

2, 3, 3, 1, 2, 5, 3, 4, 1, 2, 4, 3

Sample size, n = 12

The sample mean, xbar = ΣX / n = 33/12 = 2.75

The sample standard deviation, s = 1.215 ( from calculator)

The test statistic :

(xbar - μ) ÷ (s/√(n))

T = (2.75 - 2.7) ÷ (1.215/√(12))

T = 0.05 / 0.3507402

T = 0.1426

The critical value from Tscore ;

df = 12 - 1 = 11

Critical value = 1.796

Since ; Test statistic < Critical value ;WE fail to reject the Null and conclude that there isn't enough evidence to indicate that the mean number of TVs in Rocklin households is higher than the reported national average

Answer: 2.45346638e+19

Step-by-step explanation:

Option A. The area of the land is approximately 1.54 square kilometers.

To find the area of the trapezoid, we can use the formula:

Area = (1/2) × (a + b) × h

where a and b are the lengths of the parallel sides, and h is the perpendicular distance between them.

Given:

Length of one parallel side (a) = 1.7 kilometers

Length of the other parallel side (b) = 2.4 kilometers

Perpendicular distance (h) = 0.75 kilometers

Plugging in the values into the formula:

Area = (1/2) × (1.7 + 2.4) × 0.75

Calculating the area:

Area = (1/2) × 4.1 × 0.75

Area = 2.05 × 0.75

Area = 1.5375 square kilometers

Rounding to the nearest hundredth:

Area ≈ 1.54 square kilometers

Therefore, the area of the land is approximately 1.54 square kilometers.

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Answer:

D

Step-by-step explanation:

Answer:C and D

Step-by-step explanation:

7x^2-42x=0

First find the highest common factor of 7x^2 and 42x

7x^2=7 x X x X

42x=2 x 3 x 7 x X

Highest common factor is 7x

7x(x-6)=0

7x=0. or x-6=0

x=0. or x=6

Answer:

2a + 4 > 12

Step-by-step explanation:

Money spent on gasoline per year = $2040.

The expression represents the new yearly cost of gasoline = 3.40 * \((\frac{15000}{25 + x})\)

The new car will get = 25 + 10.41 = 35.41 miles per gallon.

What is a simplification in mathematics?

Simplification means to make something easier to understand. Simply or simplification in mathematics refers to reducing an expression/fraction/problem to a simpler form. It simplifies the problem by calculating and solving it.

For part a)

                 15,000/25 = 600 gallons

              Money spent on gasoline per year = 3.40 * 600

                                                                          = $2040

For part b)

         If you plan to trade in your car for one that gets x more miles per gallon.

then the car will get = (25 + x) miles per gallon

Then the expression represents the new yearly cost of gasoline.

                = 3.40 * \((\frac{15000}{25 + x})\)

For part c)

                Money after saving spent on gasoline per year = 2040 - 600

                                                                                                = 1440

                        \(1440 = 3.4(\frac{15000}{25+x})\\\\1440(25+x)=3.4*15000\\\\36000+1440x=51000\\\\1440x = 15000\\\\x = \frac{15000}{1440}\\\\x =10.41\)

           So the new car will get = 25 + 10.41 = 35.41 miles per gallon.

For part d)

         So the new car will get = 25 + 10.41 = 35.41 miles per gallon.

Hence,

Money spent on gasoline per year = $2040.

The expression represents the new yearly cost of gasoline = 3.40 * \((\frac{15000}{25 + x})\)

The new car will get = 25 + 10.41 = 35.41 miles per gallon.

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Answer:

42

Step-by-step explanation:

The z-score of a person who scored 330 on the exam is approximately 2.7.

To find the z-score of a person who scored 330 on the exam, we can use the formula for calculating the z-score:

z = (x - μ) / σ

where:

z is the z-score

x is the raw score (330 in this case)

μ is the mean (195 in this case)

σ is the standard deviation (50 in this case)

Substituting the values into the formula, we get:

z = (330 - 195) / 50

z = 135 / 50

z = 2.7

The z-score of a person who scored 330 on the exam is 2.7.

The z-score measures the number of standard deviations a particular data point is away from the mean.

In this case, a z-score of 2.7 indicates that the person's score of 330 is 2.7 standard deviations above the mean score of 195.

The z-score is useful for comparing data points across different normal distributions or for determining the relative position of a data point within a distribution.

A positive z-score indicates a value above the mean, while a negative z-score indicates a value below the mean.

In this context, a z-score of 2.7 suggests that the person's score is relatively high compared to the average performance on the exam.

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Answer:

99.166666666666666666666; 595/6; 99 1/6; 99

Step-by-step explanation:

THE FORMULA IS (x)/(170)=(35)/(60)

solve for x

copy the formula in bold and paste it to math w]y:

(x)/(170)=(35)/(60)

choose the option to solve for x and 99.666666666666∞ is the answer.

Answer:

look to rule number five

Step-by-step explanation:

Rule Number 5 best explains the answer

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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The correct total weight of the bags of granola is 8 1/4 pounds.

One thing that can be done to improve Roberto's reasoning is to ensure the accuracy of the calculations.

In his conclusion, Roberto added the weights of the bags of granola (2 1/2, 2 3/4, and 3) and claimed that the total weight was 8 1/4 pounds. However, the sum of these weights does not equal 8 1/4 pounds.

To address this, Roberto should recheck his calculations. Adding mixed numbers involves adding the whole numbers separately and then adding the fractions separately. In this case, 2 1/2 + 2 3/4 + 3 can be calculated as follows:

2 + 2 + 3 = 7 (sum of whole numbers)

1/2 + 3/4 = 2/4 + 3/4 = 5/4 = 1 1/4 (sum of fractions)

Thus, the correct sum is 7 + 1 1/4 = 8 1/4 pounds.

By double-checking the calculations and providing the accurate sum, Roberto's reasoning would be more precise, reliable, and free from errors.

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The probable question may be:

Roberto made a line plot to show the weight in pounds of the bags of granola in his store he concluded that the total weight of the granola was 2 1/2+2 3/4+3=8 1/4 pounds.

what is one thing that you could do to Roberto's Reasoning

The scale factor and the value of x for each figure is given as follows:

A) Scale factor of 1/3, x = 7 m.

B) Scale factor 0.4747, x = 4.5 in.

For Figure A, we have that the ratio between the areas is given as follows:

510/4590 = 1/9.

As the area is measured in square units, while the side lengths are measured in units, the scale factor is the square root of 1/9, hence it is given as follows:

1/3.

Then the value of x is obtained as follows:

x = 21 x 1/3

x = 7 m.

For Figure B, we have that the ratio between the areas is given as follows:

16/71 = 0.22535.

The scale factor is then the square root of 0.22535, which is given as follows:

0.4747.

Then the value of x is given as follows:

x = 9.5 x 0.4747

x = 4.5 in.

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The number of whole cup of milk that Charlene would use for all 8 packages would be = 8 cups of whole milk.

A square is a type of quadrilateral that has four sides with four angle 90° at each edge.

The number of chocolate square mixture Charlene would use for the party = 8 packages.

The number of packages that require a cup of milk = 1

Therefore the number of whole cups of milk that would be used for the whole 8 packages would be = 8×1 = 8 cups of whole milk.

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Answer: 20

Step-by-step explanation:

(3+7)*2 = 20

Answer:

20 square inches

Step-by-step explanation:

The probability of rolling a specific number is 1/6 or approximately 0.1667.

When rolling a fair number cube with faces numbered 1 through 6, each face has an equal chance of landing face-up. This means the probability of rolling any specific number is 1 out of the total number of faces, which is 6. Therefore, the probability of rolling a specific number is 1/6 or approximately 0.1667.

The dot on the number line represents the probability of an event occurring when rolling the number cube. To determine what this event could be, consider the possible outcomes when rolling the cube and compare their probabilities to the dot's position on the number line.

For example, if the dot is located at 1/6 on the number line, this could represent the probability of rolling a single specific number, such as rolling a 3. If the dot is located at 1/2 or 0.5, it could represent the probability of rolling an even number (2, 4, or 6) since there are three even numbers out of the six total faces, making the probability 3/6 or 1/2.

In summary, the dot on the number line represents the probability of an event occurring when rolling a fair number cube. To identify the event, compare the dot's position on the number line with the probabilities of different outcomes resulting from rolling the cube.

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Answer:

\(n_1 = 256\) bytes

\(n_2 = 128\) bytes

a) There are 256 different possible bytes.

b) There are 128 different possible bytes.

(a) To calculate the number of different bytes that are possible, you can think of each bit in a byte as having two possible states (0 or 1). Since there are 8 bits in a byte, you can use the multiplication principle to find the total number of different bytes:

Number of different bytes = 2⁸

= 256

So, there are 256 different possible bytes.

(b) If the first bit of a byte is used as a parity check and is determined by the other seven bits, this means that the first bit is not free to be 0 or 1 independently. It must be set in a way that ensures that the total number of 1s in the byte (including the parity bit) is either even or odd, depending on the parity scheme (even or odd parity).

For even parity, you would set the first bit so that there is an even number of 1s in the byte. For odd parity, you would set the first bit so that there is an odd number of 1s in the byte.

Let's calculate the number of different bytes for each parity scheme:

Even Parity:

You have 7 bits that can be freely set to 0 or 1.

The first bit is determined by the parity rule, so there's no choice here.

For the remaining 7 bits, there are 2⁷ = 128 possibilities.

So, for even parity, there are 128 different possible bytes.

Odd Parity:

Similar to even parity, you have 7 bits that can be freely set to 0 or 1.

The first bit is determined by the parity rule.

For the remaining 7 bits, there are 2⁷ = 128 possibilities.

So, for odd parity, there are also 128 different possible bytes.

In both cases (even and odd parity), there are 128 different possible bytes when considering the parity bit and the other 7 bits.

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Answer:

48°

Step-by-step explanation:

All the angles in a triangle sum up to 180°.

Therefore,

x°+74°+58°=180°

→x°+132=180°

x°=180-132=48°

The biconditional statement is: A rectangle is a parallelogram with four right angles if and only if a parallelogram has four right angles.

The term "if and only if" or biconditional statement refers to a compound statement composed of two conditional statements connected by a logical operator.

This definition is commonly utilized to describe the characteristics of a rectangle when it comes  to its correlation with a parallelogram. The opening section of the biconditional statement is comprised of a conditional statement indicating that a rectangle is defined as a parallelogram featuring four right angles.

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Write this definition as a biconditional statement.

A rectangle is a parallelogram with four right angles.

Answer:

\(y = -7x + 22\)

Step-by-step explanation:

Given

\((x_1,y_1) = (4,-6)\)

\((x_2,y_2) = (2,8)\)

Required

Determine the line equation

This question will be answered using linear interpolation.

This is represented as thus:

\(\frac{y - y_1}{x - x_1} = \frac{y_2 - y_1}{x_2 - x_1}\)

Substitute values for x1,x2,y1 and y2

\(\frac{y - (-6)}{x - 4} = \frac{8 - (-6)}{2 - 4}\)

\(\frac{y +6}{x - 4} = \frac{8 +6}{2 - 4}\)

\(\frac{y +6}{x - 4} = \frac{14}{-2}\)

\(\frac{y +6}{x - 4} =-7\)

Cross Multiply

\(y + 6 = -7(x - 4)\)

\(y + 6 = -7x + 28\)

Make y the subject

\(y = -7x + 28-6\)

\(y = -7x + 22\)

Answer:

I probably think it's A..

Answer:

C i think

Step-by-step explanation:

The triangles are not similar

Given data ,

Let the first triangle be ΔJKL

Let the second triangle be ΔMNP

Now , the corresponding sides are

JK / JL ≠ NM / MP

where the corresponding sides of similar triangles are not in the same ratio

And , the common angle to both the triangles is ∠J = ∠M

So , ∠J = ∠M and JK / JL ≠ NM / MP

Hence , the triangles are not similar

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Answer:

answer: 56

Hope this helps!