A shop sells apple juice and grapefruit juice.
The apple juice has 1.98 g of sugar in every 40 ml.
The grapefruit juice has 9 g of sugar in every 100 ml.
Use this information to complete the sentence below, giving your answer to the
nearest 1%.
The apple juice has
more sugar per ml than the grapefruit juice

The peaks you would expect for the distribution described is A) None.

We would not expect any peaks in the distribution of numbers of people with birthdays in a particular month. This is because birthdays are evenly distributed throughout the year, and there is no reason to expect more people to be born in one month than another. Therefore, the distribution should be relatively flat, with no peaks or valleys.

To visualize this, imagine a histogram with the months on the x-axis and the number of people with birthdays in that month on the y-axis. Each bar should be roughly the same height, indicating that there are no peaks in the distribution.

In conclusion, we would expect no peaks in the distribution of numbers of people with birthdays in a particular month.

Hence Option A is correct.

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In a multiple regression model, the variance of the error term e is assumed to be the same for all values of the independent variable. Therefore, the correct option is C) the same for all values of the independent variable.

In multiple regression, we use several independent variables to predict the values of the dependent variable. The model estimates the relationship between the independent variables and the dependent variable by calculating the coefficients of the independent variables.

The error term e represents the difference between the predicted value of the dependent variable and the actual value of the dependent variable.

The assumption of constant variance of the error term e is known as homoscedasticity. It means that the variance of the errors is the same for all levels of the independent variables.

This assumption is important because, if the errors have different variances across the levels of the independent variable, the model may not accurately capture the relationship between the independent variables and the dependent variable, leading to biased and unreliable results. so, the correct answer is C).

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Answer:

c. 56 degrees

Step-by-step explanation:

angle FEG and angle DEG add up to 180.

2x-6+3x-31=180

x=31

2(31)-6=56

The measure of angle ∠ FEG is,

∠ FEG = 56°

We have to given that,

Angles are defined as,

∠ FEG = (2x - 6)°

∠ DEG = (3x + 31)°

Here, Angles FEG and angle DEG are linear pair.

Hence, angle FEG and angle DEG add up to 180.

2x - 6 + 3x + 31 = 180

5x + 25 = 180

5x = 180 - 25

5x = 155

x = 155 / 5

x = 31

Therefore, The measure of angle ∠ FEG is,

∠ FEG = (2x - 6)°

∠ FEG = (2 × 31 - 6)°

∠ FEG = (62 - 6)°

∠ FEG = 56°

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At the end of the year, the amount in the account had decreased by 21%. The amount of money Martina has in her account after the 21% decrease is $6794.

Last year, Martina opened an investment account with $8600. At the end of the year, the amount in the account had decreased by 21%.

Let us calculate how much money she has in the account after a year.Solution:

Amount of money Martina had in her account when she opened = $8600

Amount of money Martina has in her account after the 21% decrease

Let us calculate the decrease in money. We will find 21% of $8600.21% of $8600

= 21/100 × $8600

= $1806.

Subtracting $1806 from $8600, we get;

Money in Martina's account after 21% decrease = $8600 - $1806

= $6794

Therefore, the money in the account after the 21% decrease is $6794. Therefore, last year, Martina opened an investment account with $8600.

At the end of the year, the amount in the account had decreased by 21%. The amount of money Martina has in her account after the 21% decrease is $6794.

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To test the series for convergence or divergence using the alternating series test, we are given the series ∑(n=1 to ∞) 5(-1)^n e^(-n). We need to identify bn, the terms of the series.

To apply the alternating series test, we consider the series ∑(n=1 to ∞) bn, where bn is the nth term of the series. In this case, bn = 5(-1)^n e^(-n).The alternating series test states that if the series ∑ bn alternates in sign, and the absolute value of bn decreases as n increases, then the series is convergent. Furthermore, if the absolute value of bn does not decrease or does not approach zero, then the series is divergent.

In the given series, we observe that the terms alternate in sign due to the (-1)^n factor. Also, the absolute value of bn decreases as n increases since e^(-n) decreases as n increases. Therefore, by satisfying the conditions of the alternating series test, we can conclude that the given series ∑(n=1 to ∞) 5(-1)^n e^(-n) is convergent.

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Answer:

look at the picture i have sent

Answer:

The extraneous solution is x = -5/6

Length = 4 ft

Width = 5 ft

Step-by-step explanation:

Length = 3x - 5 ft

Width = 2x - 1 ft

Height = 2 ft

Volume = 40 ft^3

Volume = length × width × height

40 = (3x - 5)(2x-1)(2)

40 = (6x^2 - 3x - 10x + 5)(2)

40 = 12x^2 - 6x - 20x + 10

12x^2 - 26x + 10 - 40 = 0

12x^2 - 26x - 30 = 0

Divide through by 2

6x^2 - 13x - 15 = 0

Solve using factorization method

(6x + 5) (x - 3) = 0

6x + 5 = 0

6x = -5

x = -5/6

Or

x - 3 = 0

x = 3

The extraneous solution is x = -5/6

Length = 3x - 5 ft

= 3(3) - 5

= 9 - 5

= 4 ft

Width = 2x - 1 ft

= 2(3) - 1

= 6 - 1

= 5 ft

The required method typically employed is C) Experimental design.

The probability value is utilized as a measure of the merit of the parameter selection, and the parameter set with the highest likelihood is the best option given the available data.

Experimental design is typically employed when a researcher needs to estimate the likelihood of a certain outcome.

In an experimental design, the researcher manipulates one or more independent variables to determine the effect on a dependent variable, which is the outcome being studied.

The researcher can then use this information to make an estimate of the likelihood of the outcome under different conditions. This is the most commonly used method in the natural and social sciences to determine cause-and-effect relationships and make predictions about future outcomes.

Thus, Suitable option is C)Experimental design.

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Answer:

C

Step-by-step explanation:

Because its right

the formula is y=mx+b

m is the slope

b is the y-intercept form

so the -1 is the y-intercept form. so you need to start at that point on the y axis. then the slope which is -1/2 comes into play. in my school we use rise/run. so from the point you marked at -1 you will go down 1 and to the right 2 points then where you stop is your next point (mark it) keep doing that. also go up the other way from the -1 point. go up 1 and to the left 2. then connect all of your points with a line. I hope this helped.

please chose this answer as brainliest

Answer:

yes

Step-by-step explanation:

Answer:

yes they are similar

Step-by-step explanation:

DEF HAVE TWICE THE LENGTH OF ABC

The domain and codomain of the transformation tb(x) = 2x are (-∞, ∞).Therefore, both the exercises have the same domain and codomain, i.e (-∞, ∞).

In the given exercises, we need to find the domain and codomain of the transformation ta(x) = ax.

Domain is defined as the set of all possible values of x for which the given function is defined or defined as the set of all input values that the function can take. It is denoted by Dom. Codomain is defined as the set of all possible values of y such that y = f(x) for some x in the domain of f. It is denoted by Cod. Now let's solve the given exercises:

Exercise 1: Let's find the domain and codomain of the transformation ta(x) = ax. Here, we can see that a is a constant. Therefore, the domain of the given transformation ta(x) is set of all real numbers, R (i.e, (-∞, ∞)).The codomain of the given transformation ta(x) is also set of all real numbers, R (i.e, (-∞, ∞)).

Hence, the domain and codomain of the transformation ta(x) = ax are (-∞, ∞).

Exercise 2: Let's find the domain and codomain of the transformation tb(x) = 2x. Here, we can see that b is a constant. Therefore, the domain of the given transformation tb(x) is set of all real numbers, R (i.e, (-∞, ∞)).The codomain of the given transformation tb(x) is also set of all real numbers, R (i.e, (-∞, ∞)).

Hence, the domain and codomain of the transformation tb(x) = 2x are (-∞, ∞).Therefore, both the exercises have the same domain and codomain, i.e (-∞, ∞).

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Answer:

x = 9

Step-by-step explanation:

8.88 = 4.44 (x-7)

8.88 = 4.44x - 31.08

39.96 = 4.44x

x = 9

Answer:

x = 9

Step-by-step explanation:

\(8.88 = 4.44 (x-7)\)

Divide both sides by 4.44.

\(2 = x-7\)

Add 7 to each side and switch sides.

\(9 = x\\x = 9\)

\(\displaystyle\bf 1\frac{1}{3} -3\frac{5}{6} +5\frac{1}{9} =5+1-3+\frac{1^{/6}}{3} +\frac{1^{/2}}{9} -\frac{5^{/3}}{6}\\\\\\\ =3+\frac{6+2-15}{18} =3-\frac{7}{18}=\boxed{2\frac{11}{18} }\)

Answer:

$987.50

Step-by-step explanation:

To calculate Joan Smith's tax, we need to follow these steps:

Step 1: Determine the taxable income

Taxable Income = Joan Smith's earnings - Federal exemption

Taxable Income = $42,500.00 - $3,000.00 = $39,500.00

Step 2: Calculate the tax amount

Tax amount = Taxable Income * Tax rate

Tax amount = $39,500.00 * 2.5% = $987.50

Therefore, Joan Smith's tax amount is $987.50.

Answer:

\(30 \div 100 \times 48 = 14.4 \\ 48 - 14.4 = 33.6\)

therefore Christopher paid $ 33.6

1 can only be divided by one other integer except1, hence it is not a prime number.

Any natural number higher than 1 that is not the sum of two smaller natural numbers is referred to be a prime number. A composite number is a natural number greater than one that is not prime.

Given this definition, 1 is not a prime number because it can only be divided by one other integer, which is 1 itself.

Based on the explanation above, we can then conclude that 1 is not a prime number.

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Answer:

\(d=-5 \text{ or } d=5\)

Step-by-step explanation:

\(|-3d|=15\\\\-3d=15 \text{ or } -3d=15\\\\\frac{-3d=15 \text{ or } -3d=15}{-3}\\\\\boxed{d=-5 \text{ or } d=5}\)

Hope this helps.

Answer:

21

Step-by-step explanation:

Richard's gross pay for the month was $ 4,512.5.

It is required to find the gross pay for the month.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

commission rate: 3.00% for oil changes, 5.00% for tune ups and 6.25% on auto part sales.

salary = $2,450.00 per month

Last month salary= $2,500.00 in oil changes,

tune ups=$4,500.00  

sold =$28,200.00 in parts.

According to given question we have,

2,450 + (2,500 x 0.03) + (4,500 x 0.05) + (28,200 x 0.0625) = X

2,450 + 75 + 225 + 1,762.5 = X

2,450 + 2,062.5 = X

4,512.5 = X

Therefore, Richard's gross pay for the month was $ 4,512.5.

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4 is greater than or equal to -5/4, it is in the domain of f(g(x)). Therefore, the correct statement is: 4 is in the domain of fᵒg.

To determine whether 4 is in the domain of the composite function fᵒg, we need to evaluate the composition of f(g(x)) and check if 4 is a valid input.

Given f(x) = √√x + 4 and g(x) = 4x + 5, we can find f(g(x)) by substituting g(x) into f(x):

f(g(x)) = √√(4x + 5) + 4

Now, let's see if 4 is in the domain of fᵒg. To be in the domain, the expression inside the square root (√) must be non-negative.

For f(g(x)), the expression inside the inner square root (√) is 4x + 5, and for the outer square root, we have √(√(4x + 5) + 4).

To determine the validity of 4 as an input, we set the expression inside the inner square root greater than or equal to 0:

4x + 5 ≥ 0

Solving this inequality for x, we get:

4x ≥ -5

x ≥ -5/4

This inequality tells us that x must be greater than or equal to -5/4 for the expression inside the inner square root (√(4x + 5)) to be non-negative.

The number 4 is in the domain of f(g(x)) since it is bigger than or equal to -5/4. The right answer is thus: 4 is in the area of fog.

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Answer:

false

Step-by-step explanation:

Based on the information provided we can say that this is false. Since it is a board game and no actual information regarding each players position in the game has been presented, then each player has an equal chance of winning each game. Therefore since there is a total of 3 players the percent chance of winning each game for each player is 33% (100 / 3 = 33)

Based on the given information, the terminal side of angle 0 lies in quadrant III.

To determine the quadrant in which the terminal side of angle 0 lies based on the given information, we can analyze the signs of the trigonometric functions:

(a) Since sine < 0 and cotangent < 0, we can determine the quadrant as follows:

Sine < 0 implies that the y-coordinate (vertical component) of the point on the unit circle corresponding to angle 0 is negative.

Cotangent < 0 implies that the x-coordinate (horizontal component) of the point on the unit circle corresponding to angle 0 is negative.

In quadrant III, both the x and y-coordinates are negative. Therefore, quadrant III is the correct answer in this case.

(b) The information provided in this option is incorrect. "esce" is not a recognized trigonometric function, and "cos > 0" does not provide enough information to determine the quadrant.

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An HTML (Hypertext Markup Language) element consists of several parts that work together to define its behavior and appearance on a webpage. The basic structure of an HTML element includes:

Opening tag: The first part of an HTML element is the opening tag, which is enclosed in angle brackets ("<" and ">") and indicates the beginning of the element. It includes the name of the element, such as "p" for a paragraph or "img" for an image.

Attributes: After the name of the element, you can specify one or more attributes that modify the element's behavior or appearance. Attributes consist of a name and a value, separated by an equal sign. For example, the "src" attribute specifies the source URL of an image element.

Content: The content of an HTML element is the information that appears between the opening and closing tags. For example, the content of a paragraph element would be the text that appears within it.

Closing tag: The closing tag is similar to the opening tag but includes a forward slash ("/") before the element name to indicate the end of the element. For example, the closing tag for a paragraph element would be "</p>".

Here's an example of a complete HTML element:

<p class="intro">This is a paragraph element with a class attribute.</p>

In this example, "p" is the name of the element, "class" is an attribute that specifies the CSS class of the element, and "This is a paragraph element with a class attribute." is the content of the element.

The value of γ is greater than 1 for any v > 0, greater than 10 for v > 0.995c, and greater than 100 for v > 0.99995c.

To determine for what speed (in terms of c) the value of γ is greater than 1, 10, and 100, we'll use the formula for the Lorentz factor (γ):
γ = 1 / √(1 - v²/c²)
where v is the speed and
c is the speed of light.

(a) For γ > 1:
Since γ is always greater than 1 for any speed v greater than 0, we can say that γ is appreciably greater than 1 for any v > 0.

(b) For γ > 10:
We need to solve the equation 10 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 100 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/100 = 99/100.
So, v/c = √(99/100), which implies v > 0.995c for γ > 10.

(c) For γ > 100:
Similar to (b), solve the equation 100 = 1 / √(1 - v²/c²) for v/c:
Squaring both sides, we get 10000 = 1 / (1 - v²/c²).
Now, solve for v²/c²: v²/c² = 1 - 1/10000 = 9999/10000.
So, v/c = √(9999/10000), which implies v > 0.99995c for γ > 100.

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Answer:B

Step-by-step explanation:

Answer:

Answer is 4 by 12 cm

Step-by-step explanation:

Answer

1. x=12

hope it helped

Step-by-step explanation:

The answer is: X = 3

The right side has 20 while the left side has 8 in cubes.

3 X 4 = 12

The left side also has 12 in rectangle.

To give your daughter $50,000 towards her college education in 15 years, you must set aside approximately $14,803.42 today.

To calculate the amount of money you need to set aside today, we can use the concept of future value of a lump sum. The future value is the amount of money an investment will grow to in the future, given a certain interest rate and time period.

In this case, we want to determine the present value (the amount you need to set aside today) to achieve a future value of $50,000 in 15 years, assuming an annual interest rate of 9 percent. The formula to calculate present value is:

Present Value = \(Future Value / (1 + Interest Rate)^T^i^m^e\)

Plugging in the values, we have:

Present Value = \($50,000 / (1 + 0.09)^1^5\)

Present Value ≈ $14,803.42

Therefore, you would need to set aside approximately $14,803.42 today in order to accumulate $50,000 for your daughter's college education in 15 years, assuming an annual interest rate of 9 percent.

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Answer:

The unit rate is: 20 miles/gallon

This means the car travels 20 miles on 1 gal of gas.

Step-by-step explanation:

120 miles/ 6gallons

This means that for every gallon of gasoline, the car travels 20 miles