Write each rate as a unit rate. 64 ounces in 8 cups.

Answer:

m=3

Step-by-step explanation:

slope of the line is 3

mark me the brainliest

Answer:

1a. The null hypothesis in this setting would mean that the proportion of students who completed their math homework is equal to or greater than 75%.

1b. The p-value represents the probability of observing a sample proportion as extreme as or more extreme than the sample proportion observed (68%), given that the null hypothesis is true. In this case, the p-value of 0.1265 indicates that there is a 12.65% chance of observing a sample proportion as extreme or more extreme than 68%, assuming the true proportion is equal to or greater than 75%.

1c. At the alpha = 0.05 significance level, we reject the null hypothesis if the p-value is less than 0.05. In this case, the p-value of 0.1265 is greater than 0.05, meaning we fail to reject the null hypothesis. Therefore, at the alpha = 0.05 significance level, we cannot conclude that less than 75% of students completed their math homework.

The construction of the graph is shown here.

Also cumulative frequency in the table form mentioned here. This can be solved using the concept of frequency distribution.

Tables or charts of frequency distributions are used to represent them. Frequency distributions can display the proportion of observations or the actual number of observations that fall inside each range. The distribution is known as a relative frequency distribution in the latter case.

Relative frequency distributions and cumulative frequency distributions are the two primary forms of frequency distributions utilised in data analysis. Both depend on frequency, which is the amount of times something happens inside a specific data set in descriptive statistics.

Class                       Frequency                        Cumulative frequency              

0.180-0.199                  2                                      2

0.200-0.219                10                                     12

0.220-0.239               39                                    51

0.240-0.259               56                                    107

0.260-0.279               60                                     167

0.280-0.299               49                                     216

0.300-0.319               27                                      243

0.320-0.339               12                                      255

0.340-0.359                1                                        256

The construction of the graph is shown below:

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The complete question is as follows:

Answer:

Abdiel's total would be $23.22, which is the answer choice C.

Step-by-step explanation:

The total cost of Abdiel's order would be calculated as follows:

Calculate the tip before the discount: $21.50 x 20% = $4.30

Add the tip to the subtotal: $21.50 + $4.30 = $25.80

Calculate the discount: $25.80 x 10% = $2.58

Subtract the discount from the total cost: $25.80 - $2.58 = $23.22

So, Abdiel's total would be $23.22, which is the answer choice C.

Answer:

A and E

Step-by-step explanation:

Ratio of A=20/30=2/3

Ratio of B=28/50=14/25

Ratio of C=35/50=7/10

Ratio of D=14/26=7/13

Ratio of E=32/48=2/3

therefore A and E are similar shapes

Answer:

171=9R

Hope this helped! :)

Answer:Rx9=171

Step-by-step explanation:

The actual food is 115% of the budgeted food.

The percentage is defined as a ratio expressed as a fraction of 100.

The data is given in the question, as follows:

Budgeted: 200

Actual: 230

To determine the percentage of the budgeted food that is the actual food, we can divide the actual amount by the budgeted amount and multiply by 100.

Percentage = (Actual / Budgeted) * 100

Percentage = (230 / 200) x 100

Percentage = 1.15 x 100

Apply the multiplication operation, and we get

Percentage = 115%

So, the actual food is 115% of the budgeted food.

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The woman weighing 123 pound can take 1005.9 mg of medicine

An equation is an expression that shows the relationship between two or more numbers and variables using mathematical operations. An equation can be linear, quadratic, cubic and so on, depending on the degree of the variable.

If a 123 pound man can have 1213 mg of a medicine in a day. Hence:

Unit rate = 1213 mg / 123 pound = (1213/123) mg per pound

For a 102 pound:

Amount of medicine = (1213/123) mg per pound * 102 pound = 1005.9 mg

The woman can take 1005.9 mg of medicine

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The length of the fence that Winston installs is 200 yards

An equation is an expression that contains numbers and variables linked together by mathematical operations of addition, subtraction, multiplication, division and exponents. An equation can either  be linear, quadratic, cubic, depending of the degree of the variable.

Winston installs a fence post every eight yards after the first post he installs 25 more, therefore:

The length of the fence = 8 yards * 25 post = 200 yards

The length of the fence is 200 yards

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Answer:

Let's call the growth rate of the tomato plant "g". We know that the height difference between the tomato plant and the bean plant decreases by 0.1 cm per day, so we can write the following equation:

1.5 - 0.85 - (10 * g) = 0

Solving for g:

g = (1.5 - 0.85) / 10 = 0.065 cm/day

So the tomato plant grows at a rate of 0.065 cm per day, and will reach the height of the bean plant in no more than 10 days.

The tomato plant will grow 0.165 cm per day.

Solution:

Given,

Height of bean plant = 1.5 cm

Height of tomato plant = 0.85 cm

The growth rate of bean plant = 0.1 cm/ day

The bean plant will grow 1.5 + (0.1* 10) in 10 days = 2.5 cm

So, the tomato plant will have to grow (2.5 - 0.85) cm in 10 days = 1.65 cm

Since, the tomato plant will grow steadily,

Hence, 1.65/ 10 = 0.165

Therefore, the tomato plant will grow at a rate of 0.165 cm per day

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50 meters in feet is 164.042 feet

In order to convert meters to feet we would have to cross multiply

That is. one meter is given as 3.28084 feet

We are to convert 50 meters to feet, hence we would have:

If 1 meter = 3.28084

50 meters = ?

When we cross multiply, we would have

? = 3.28084 * 50 meters

? = 164.042

Hence the amount of 50 meters in feet is given as 164.042 feet

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Answer:

x² + x

Step-by-step explanation:

x(x+1) →

[a(b + c) = ab + ac]

x (x) + x (1) →

[x • x = x²] + [x • 1 = x] →

x² + x

Answer: To calculate the decrease in value of Samir's digger after 10000 hours, we need to determine its value at the end of each year, taking into account the yearly depreciation of 18%.

Here's the calculation for the first year:

Value at the end of Year 1 = £35950 - (£35950 * 18%) = £29576

And for the second year:

Value at the end of Year 2 = £29576 - (£29576 * 18%) = £24480.48

And so on, until we reach 10000 hours. To determine the exact value after 10000 hours, we would need to perform the calculation for each year until we reach the total number of hours used. However, this calculation would involve multiple steps and can become quite complex. A simpler way to estimate the decrease in value would be to use the concept of present value.

Step-by-step explanation:

The formula "I=PRT" is the simple interest formula, where:

I = interest

P = principle (the initial amount of money)

R = interest rate (as a decimal)

T = time (in years)

Given the values of P, R, and T:

P = 5,600

R = 0.2

T = 4

We can plug these values into the formula to find the interest:

I = P * R * T = 5,600 * 0.2 * 4 = 4,480

So, the interest earned on a principle of $5,600 at an interest rate of 0.2 (or 20%) for 4 years would be $4,480.

The volume of the sphere with radius 5 yd rounded to the nearest tenth is 523.3 yd³.

The volume of a sphere is expressed as;

V = 4/3 × π × r³

Where r is radius and constant pi π = 3.14.

Given the data in the question;

To find the volume of the sphere, plug the given value into the above formula and simplify.

V = 4/3 × π × r³

V = 4/3 × 3.14 × ( 5 yd )³

V = 4/3 × 3.14 × 125 yd³

V = 523.3 yd³

Therefore, the volume of the sphere is 523.3 yd³.

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Answer:

19

Step-by-step explanation:

top = bottom so 4x-4y = 3x+5y so x = 9y

left = right so 2-2y = x-3y so x= y+2

so 9y = y+2

8y = 2

y= 0.25

x=2.25

so just add them all up

2*(4x-4y) + 2*(2-2y )

= 8*(x-y)+4*(1-y)

=16+4*0.75

=19

Answer: x=18 and y=-6

Step-by-step explanation:

y=-6; x+3y=0    

Answer:

x=90° (given)

54°+90°+z=180°

144°+z=180°

z=180°-144°

z=30°

Answer:

Step-by-step explanation:

Since the rabbit from the previous problem started at 10, it would be at 17 units on the number line after the same three jumps.

In Mathematics, a number line is a type of graph with a graduated straight line which comprises both positive and negative numerical values that are placed at equal intervals along its length.

From the previous problem, the total distance covered by the rabbit is given by:

Total distance = 4 units + 2 units + 1 unit

Total distance = 7 units.

Since the second point is at 10 units and the open circle arrow points to the right of the number line, the rabbit would cover 7 more distance from this point:

Total distance = 10 units + 7 units

Total distance = 17 units.

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Answer: The Cartesian form of a complex number is the expression of the number in the form of x + yi, where x and y are real numbers and i is the imaginary unit.

The Cartesian form of (5i - 3) is 0 + (5i - 3).

Step-by-step explanation:

The explicit rule for the g(x) is g(x) = 54000 + 6000x

The definition of the function is given as

Initial = 60000

And the table of values

The definitions from the table imply that we simply add 6000 to the previous term to get the current term

This means that

Common difference, d = 6000

The sequence is then represented as

f(x) = a + (x - 1)d

So, we have

f(x) = 60000 + (x - 1) * 6000

Evaluate

f(x) = 54000 + 6000x

Hence, the equation is f(x) = 54000 + 6000x

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Answer: $18 000

Step-by-step explanation:

40 bottles per box

40*15 = 600 bottles total

600 * $30 = $18 000

She made $18 000 in total.

Amount of money she receives from sale of 15 boxes of perfume in all is $18,000.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Given that,

Number of bottles of perfume packed in a box = 40

Cost for each perfume = $30

Cost for 40 perfumes = 40 × $30 = $1200

So cost for a box of perfume = $1200

Cost for 15 boxes of perfume = 15 × $1200

                                                 = $18,000

Hence the amount for 15 boxes of perfume is $18,000.

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The cost of sales for Sheridan Industries, given the gross profit and the sales, is $ 6, 498, 000

The cost of sales refers to the amount that the company invested to be able to make the sales they did. This includes the cost of purchases of goods which were then sold ( or their cost of manufacturing ).

The cost of sales to Sheridan Industries can be found by the formula :

= Sales - Gross profit

The cost of sales is therefore :

= 7, 752, 000 - 1, 254, 000

= $ 6, 498, 000

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The full question is:

Sheridan Industries had sales in 2021 of $7,752,000 and gross profit of $1,254,000. Management is considering two alternative budget plans to increase its gross profit in 2022. To do this this, management first needs to determine its cost of sales. Find the cost of sales for 2021.

Answer:

Adam=$11000, Krissy=$14000

Step-by-step explanation:

Adam gets 3000 less

Adam=(25000-3000)÷2=11000

Krissy=11000+3000=14000