a bottle of soft drinks costs $2. the commission paid on one bottle is 2% of the cost price.find the commission on 24 bottles of soft drinks​

Answer:

C: It is a one-tailed test.

Step-by-step explanation:

We are told the researcher wants to determine if college students typically drink more than 3 times per week.

This means the null hypothesis is;

H0: μ ≥ 3

this indicates that it's a one tailed test as the null hypothesis is only to the right side of 3 and thus just one tail.

This question will be solved using p-value approach since we are given population mean, sample mean, sample size and standard deviation.

We can't reject the null without finding out the p-value and seeing if it is less than the significance value given.

Hypothesis testing can be done done proportions or percentages.

Thus, the correct option is one-tailed test.

Answer:

9 x + 42.

Step-by-step explanation:

Answer:

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Answer:

\(\frac{107}{14}\) or \(7\frac{9}{14}\)

Step-by-step explanation:

\(5 \frac{1}{2} +2\frac{1}{7}\)

\(5 \frac{1}{2} +2\frac{1}{7} =\frac{11}{2} +\frac{15}{7}\)

\(\frac{11}{2} +\frac{15}{7}\)

\(\frac{11}{2} +\frac{15}{7}=\frac{77+30}{14} =\frac{107}{14}\)

\(\frac{107}{14} =7\frac{9}{14}\)

Hope this helps!

Lengths are ,a= 4 cm, b = 6,5 cm, and c = 9.2 cm

Then Apply

Cos A= ( b^2 + c^2 - a^2 )/ 2bc

. = ( 6.5^2 + 9.2^2 - 4^2)/2•6.5•9.2

. = (42.25 + 84.64 - 16)/119.6

. = 0.927

Now find ArcCosin 0.927= 22.03

THEN answer is

OPTION B) 22°

Answer:

y=x^2 is graph D

y=1/x is graph A

otherwise, you're right

The classification of the system of equations is (a) inconsistent and dependent

From the question, we have the following parameters that can be used in our computation:

x - y - z = 0

2x - y + 2z = 1

x - y + z = -2

Subtract the second equation from the first

So, we have

-z = 2

Divide by -1

z = -2

Substitute z = -2 in the equations x - y - z = 0, 2x - y + 2z = 1 and x - y + z = -2

x - y + 2 = 0

2x - y + 2(-2) = 1

x - y - 2 = -2

This gives

x - y = -2

2x - y = 5

x - y = 0

The first and the last equations when solved would have no solution

This means that the equations are inconsistent

Hence, the classification is (a)

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Answer:

Find the base, and then the height of this rhombus;

Base: 7 square units

Height: 7 square units

Multiply your base by the height to get the area;

Because the formula for the area of a rhombus is, A = BH

So,

A = 7(7)

A(area) = 49 square units.

The rate of change between the points (0.2) and (1) is 6.25.

Rate of change is a measure of how quickly the value of a function is increasing or decreasing at a given point. It is calculated by taking the difference between two points on the function and dividing it by the change in the independent variable, usually time. This allows us to measure how quickly the function is changing over time. Rate of change is a key concept in calculus and can help us to understand how different functions behave.

To find the rate of change between the two points (0.2) and (1), we must first find the y-values of each x-value. On the graph, this is done by drawing a vertical line from the x-value to the graph, and then drawing a horizontal line from that point to determine the y-value. Thus, the y-value at x-value 0.2 is 3, while the y-value at x-value 1 is 8.

Now we can use the slope formula to find the rate of change between the two points. The slope formula is given as (y2 - y1) / (x2 - x1). Plugging in the values we got from the graph yields (8 - 3) / (1 - 0.2) = 5 / 0.8 = 6.25.

Therefore, the rate of change between the points (0.2) and (1) is 6.25.

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The expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

Pascal's Triangle is a triangular array of numbers in which the value in each cell is the sum of the two numbers directly above it.

To expand the given expression (x²-3y)⁴ as per Pascal's triangle:

First, write down the fourth row of Pascal's Triangle as:

1 4 6 4 1

The above numbers represent the coefficients of the terms in the expansion of (a+b)⁴, where a is x² and b is -3y. Therefore, it can be written as,

1×(x²)⁴ + 4×(x²)³×(-3y) + 6×(x²)²×(-3y)² + 4×(x²)(-3y)³ + 1(-3y)⁴

Simplify each term,

x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸

Therefore, the expanded form of (x²-3y)⁴ using Pascal's Triangle is x⁸ - 12x⁶y² + 54x⁴y⁴ - 108x²y⁶ + 81y⁸.

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The exponent property that justifies why ten to the one third power equals the cube root of ten is:

ten to the one third power all raised to the third power equals ten to the one third times three power equals ten.

The exponent property using in this problem is the power of power rule, which states that when a term is elevated to a power, and this power is elevated to another power, then the powers are multiplied.

Hence, considering the expression in this problem:

((10)^(1/3))^3

We have that:

Then the multiplication of the exponents is given as follows:

1/3 x 3 = 1.

And the result is:

10^1 = 10.

Since the number 10^(1/3) elevated to the cube has a result 10, the number is equivalent to the cube root of 10, giving the correct expression.

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Answer:

148

Step-by-step explanation:

12 x 12 + (6-2)

144 + 4 = 148

Hope that helps!

12² + 2 = 144 + 4 = 148

Answer = 148

According to the priority of the process, first we do inside the brackets and then we get the exponent.

I hope I got it right, I'm trying to improve my English a little :)

The total number of students who graduated from the Cincinnati universities and colleges are 15382.

We are given that 6.76 % of Cincinnati college and university graduates majored in Registered Nursing.

The number of the Cincinnati college and university graduates who majored in Registered Nursing = 1026.

We need to find the total number of students that graduated from the Cincinnati universities and colleges altogether in 2016.

Let the total number of students be x.

ATQ:

6.67 % x = 1026

6.67 x = 102600

667 x = 10260000

x = 10260000 / 667

x = 15382.309

Rounding off to the nearest whole number is:

x = 15382.

Therefore, we get that the total number of students who graduated from the Cincinnati universities and colleges are 15382.

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Answer:

1:72

Step-by-step explanation:

The scale of a drawing is the ratio of the length in the drawing to the real length.

Drawing length: 7 inches

Real length: 42 ft × 12 in. / ft = 504 in.

Scale:

7 in. to 504 in.

Divide both numbers by 7:

1 in. to 72 in.

Scale: 1:72

Answer:

Below

Step-by-step explanation:

245.8 = .872 x      where x is the theoretic airflow

245.8 / .872 = x = 281.9 cfm

As we know that

\(\sf \blue{Perimeter = 2(l + b)}\)

Now,

\(\sf \orange{Area = l \times b}\)

Area=28\(\bold{ m^2  }\) 

a) The initial deposit in the account is given as follows: 1,287.39 euros.

b) The interest rate of the account is given as follows: 3%.

The equation that gives the balance of an account after t years, considering simple interest, is modeled as follows:

A(t) = P(1 + rt).

In which the parameters of the equation are listed and explained as follows:

Considering the balances after 5 and 6 years, the interest rate is obtained as follows:

r = 1524.60/1480.50 - 1

r = 0.03.

Considering the balance after 5 years, the initial deposit is obtained as follows:

P(1 + 0.03 x 5) = 1480.5

P = 1480.5/1.15

P = 1,287.39 euros.

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The polynomial y = (4 / 3) · x³ + (16 / 3) · x² + (4 / 3) · x - 8 is the cubic equation whose zeros are x₁ = -3, x₂ = - 2, x₃ = 1 and intercept is - 8.

Herein we must derive a cubic equation such that the zeros are x₁ = -3, x₂ = - 2, x₃ = 1 and its intercept is - 8. Cubic equations are polynomials of the form y = a · x³ + b · x² + c · x + d, where a, b, c, d are real coefficients.

If we know that (x₁, y₁) = (- 3, 0), (x₂, y₂) = (- 2, 0), (x₃, y₃) = (1, 0) and (x₄, y₄) = (0, - 8), then we solve the following system of linear equations to determine all real coeffcients by numerical methods:

- 27 · a + 9 · b - 3 · c + d = 0

- 8 · a + 4 · b - 2 · c + d = 0

a + b + c + d = 0

d = - 8

(a, b, c, d) = (4 / 3, 16 / 3, 4 / 3, - 8)

The cubic equation is y = (4 / 3) · x³ + (16 / 3) · x² + (4 / 3) · x - 8.

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1/4 = 0.25 is the largest value..

It is right answer....

Answer: 12

Step-by-step explanation:

Given the function :

f(x),

x is defined as the number of questions answered correctly in a certain section.

Thus given that the function; f(12) = 18 means a test-taker receives 18 points for answering x questions in the section correctly

The number of correct questions will be :

Compare ;

f(x) = f(12)

Hence ; x = 12 = number of questions answered correctly in the section.

Answer:

At mile 3 company A will start charging less.

Step-by-step explanation:

I came to this conclusion by realizing that no matter what company A will always charge $107 so, in theory all we needed to do was get company eight to $108. So having this mind set I created the equation, 65 + .70x  . I continuously kept on changing what was in x until the price was just above Company A's. And the number that got me there was 3.

The sum of angles at a point is equal 360 degrees and using that, the value of x is 261 degrees.

Angles around a point describes the sum of angles that can be arranged together so that they form a full turn. Angles around a point add to 360°.

In this question, when we sum all angles up, it will give us the sum of 360 degrees.

20 + 40 + 39 + x = 360

x + 99 = 360

x = 360 - 99

x = 261

x has a value of 261 degrees.

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The growth rate function indicates that the number of years The Iron Man's net worth will reach the net worth of T'Challa is about 87 years

The growth rate is the rate of growth of a function with regards to the input variable.

T'Challa's net worth in the Marvel comics = 80 trillion (8 × 10¹³) Dollars

The Iron Man's net worth = 20 billion (2 × 10¹⁰) Dollars

The growth rate per annum of The Iron Man's net worth = 10% per annum

The number of years it will take to reach T'Challa can therefore, be found as follows;;

(2 × 10¹⁰) × (1 + 0.1)ˣ = (8 × 10¹³)

(1 + 0.1)ˣ = (8 × 10¹³)/(2 × 10¹⁰)

x·ln(1 + 0.1) = ln((8 × 10¹³)/(2 × 10¹⁰))

x = (ln((8 × 10¹³)/(2 × 10¹⁰)))/(ln(1 + 0.1)) ≈ 87 years

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The solution is: The arc length SR is 52.12ft.

We have,

Arc length is the distance between two points along a section of a curve. An arc is a cut out section of a circumference of a circle.

The arc angle = sector angle in the diagram

The length of an arc is expressed as;

l = tetha/360 × 2πr

where r is the radius and tetha is the angle between the two radii.

l = 332/360 × 2 × 9 × 3.14

l = 1042.48 × 18/360

l = 18764.64/360

l = 52.12( nearest hundredth)

therefore the length of the arc is 52.12 ft

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The monthly PMI Payment for Christina's loan is $37.50.The correct answer is option B.

To determine Christina's monthly PMI (Private Mortgage Insurance) payment, we need to find the corresponding interest rate for her loan-to-value (LTV) ratio. The LTV ratio is calculated by dividing the loan amount by the property value.

The loan amount can be calculated by subtracting the down payment from the property value:

Loan amount = Property value - Down payment

           = $170,000 - $20,000

           = $150,000

Now we can calculate the LTV ratio:

LTV ratio = Loan amount / Property value * 100

         = $150,000 / $170,000 * 100

         = 88.24%

Since Christina is obtaining a 30-year mortgage, we need to look at the interest rates for LTV ratios between 85.01% and 90%. According to the table, the interest rate for this range is 0.30%.

To calculate the PMI payment, we multiply the loan amount by the PMI rate and divide it by 12 months:

PMI payment = (Loan amount * PMI rate) / 12

           = ($150,000 * 0.30%) / 12

           = $450 / 12

           = $37.50

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The Probable question may be:
Christina is buying a $170,000 home with a 30-year mortgage. She makes a $20,000 down payment.

Use the table to find her monthly PMI payment

Base to loan% = 95.01% to 97%,90.01% to 95%,85.01% to 90%,80.01% to 85%.

30-year fixed-rate loan = 0.55%,0.41%,0.30%,0.19%

15-year fixed-rate loan = 0.37%,0.28%,0.19%,0.17%.

A. $51.25

B. $37.50

C. $23.75

D. $42.50

Answer:

x = 106 degrees

Step-by-step explanation:

x + 104 + 40 + 110 = 360

x + 254 (No more 254)

- 254 (Again no more 254)

x = 106

Answer:

rotated

Step-by-step explanation:

bc I said so

Answer:

Rotated

Step-by-step explanation:

jus took the quiz

Answer:

\(\frac{1}{16}\)

Step-by-step explanation:

Given;

\(\frac{1}{4}\div \:4\)

Solve;

\(\mathrm{Convert\:element\:to\:fraction}:\quad \:4=\frac{4}{1}\)

\(=\frac{1}{4}\div \frac{4}{1}\)

\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\div \frac{c}{d}=\frac{a}{b}\times \frac{d}{c}\)

\(\frac{1}{4}\times \frac{1}{4}\)

\(\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\times \frac{c}{d}=\frac{a\:\times \:c}{b\:\times \:d}\)

\(=\frac{1\times \:1}{4\times \:4}\)

\(\mathrm{Multiply\:the\:numbers:}\:1\times \:1=1\)

\(=\frac{1}{4\times \:4}\)

\(\mathrm{Multiply\:the\:numbers:}\:4\times \:4=16\)

\(=\frac{1}{16}\)

Number line given below:

~Learn with Lenvy~

The given box plot represented by the data sets in option A and B.

From the given box plot, we have

Minimum value = 3

Maximum value = 18

First quartile (Q1) = 7

Third quartile (Q3) = 13

Median = 10

Option A:

3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18

Median = 12

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option B:

3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Option C:

3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 8

Third quartile (Q3) = 13

Option D:

2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18

Median = 10

First quartile (Q1) = 7

Third quartile (Q3) = 13

Therefore, the correct options are B and D.

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There are a total of 3 forwards on the team.

A fraction represents a part of the whole or group of objects.In a fraction, numerator and denominator are separated by a horizontal bar known as the fractional bar

Given:

2/8 of the players are forwards.

Total number of players on the team = 12

We will determine the total number of forwards on the team by multiplying the total number of players by the fraction representing the forwards.

Fraction representing the forwards:

= 2/8

= 1/4

Total forwards on the team:

= 12 * (1/4)

= 3.

Translated question:

Of the 12 players on the team, 2/8 are forwards. What are the total forward in the team?

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