Sam needs 2/5 pound of turkey to make one sandwich he is going to make 7 sandwiches how many pounds of turkey does he need

100 sheets of paper measured by the desk are 1.5 kilograms.

The mass of 100 sheets of paper measured by the desk is 1500 grams. To convert this to kilograms, we need to use the fact that 1 kilogram is equal to 1000 grams. Therefore, we can divide the mass in grams by 1000 to get the mass in kilograms.

Here is the calculation:
Mass in kilograms = Mass in grams / 1000
Mass in kilograms = 1500 grams / 1000
Mass in kilograms = 1.5 kilograms

Therefore, the mass of 100 sheets of paper measured by the desk is 1.5 kilograms.

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Huw's answer of 9 days is incorrect because more guests would finish the food in less time so the number of days for 30 guests is less than 6 days.

The number of days that the food can last 30 guests is 4 days.

More guests would eat the food faster which means that it would be finished in less days than the 6 days used by 20 guests.

To find the days the food would last 30 guests, use the inverse proportion formula:
= (Number of guests x Number of days food lasts for guests) / New number of guests

= (20 x 6) / 30

= 4 days

Full question is:

The only food provided for guests at Seaview Hotel is breakfast. The hotel has enough food to make breakfast for 20 guests for 6 days. How long would the food last 30 guests? You may assume each guest eats the same amount of food for breakfast.

Without working out the correct answer, explain why Huw’s answer of 9 days is incorrect.

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To determine if a data point is considered an outlier for a data set, we need to calculate the interquartile range (IQR) and use it to define the outlier boundaries. The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). The correct option is (B).

We have that Q1 = 9 and Q3 = 17, we can calculate the IQR as follows:

IQR = Q3 - Q1 = 17 - 9 = 8

To identify outliers, we can use the following rule:

- Any data point that is less than Q1 - 1.5 * IQR or greater than Q3 + 1.5 * IQR is considered an outlier.

Using this rule, we can evaluate each data point:

A. 27: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

B. 17: This data point is not an outlier because it is equal to the third quartile (Q3).

C. 3: This data point is less than Q1 - 1.5 * IQR = 9 - 1.5 * 8 = -3. It is considered an outlier.

D. 41: This data point is greater than Q3 + 1.5 * IQR = 17 + 1.5 * 8 = 29. It is considered an outlier.

Therefore, the outliers in the data set are A (27) and D (41).

As for when to use the mean, it is generally recommended to use the mean as a measure of central tendency when the data is symmetric and does not have extreme values.

Therefore, the correct option would be B. When the data is symmetric.

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The value of a is 0.14, b is 0.2 and c is 0.33.

The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever.

Given:

The number a and b lies between 0/4 and 1/4. (0 and 0.25).

We have the numbers is 0.2, 0.333 (3/9) and 0.14 (1/7).

So, the value of a can be 0.14

and, value of b is 0.2.

and, the value of c is 0.33.

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Answer:

See below

Step-by-step explanation:

Mr. Hedges added the denominators together when he shouldn't have.

-12/14 + -7/14 DOES NOT EQUAL -19/28, you can't add denominators in fractions. Instead, they stay the same, while the numerators are added together.

The correct answer should be -19/14, by leaving the denominator alone and adding the numerators.

Hope this helps!

Answer:

4°C

Explanation:

Equation: y = -0.36x + 12.6

Simplify

y = -0.36(23)+12.6

y = 4.32°C

y = 4°C       (rounded to nearest degree)

How can you find the first digit in the quotient: Divide 54 by 13. The first digit goes in the 4 place.

In Mathematics, a quotient can be defined as a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

By writing the given mathematical expression as a division of a number (numerator) by another number (denominator), we have the following quotient:

Quotient = 54/13 = 4 R 0

Quotient = (54 - 52)|6/13 = 26/13 = 2 R 0

Note: The variable R represent the the number of remainder after the quotient is computed.

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Answer:

m=(3)/(2)

Step-by-step explanation:

Step-by-step explanation:

hope you can understand

If a candy bar cost 95 cents which is 19 times the price of a piece of hard candy, then the price of hard candy is 5 cents

The cost of a candy bar = 95 cents

The cost of the candy bar is 19 times the price of a piece of hard candy

Assume that the cost of one hard candy is x

Then the equation will be

The cost of hard candy × 19 = The cost of a candy bar

Substitute the values in the equation

x × 19 = 95

Move the 19 to the right hand side of the equation

x = 95 / 19

Use the division

x = 5 cent

Therefore, the price of hard candy is 5 cent

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Answer:

\(\sqrt{330}\)

Step-by-step explanation:

The area of a square, \(A_{\square}\), is calculated by the square of its sides (\(s^2\)). If you want to find \(s\), given the \(A_{\square}\), you are just going to take the principal square root of (\(A_{\square}\)).

We are given the average area of the living rooms in the United States (\(330\)). If a living room in the United States is in the shape of a square, the average of its side is \(\sqrt{330}\).

Solving for \(\sqrt{330}\) without a calculator:

The numbers \(330\) has no factor that is a perfect square. This means that we cannot write \(\sqrt{330}\) any simpler.

Answer: True.  A sample is a subset of a population

Step-by-step explanation:

The calculated value of the function p(q(x)) when x = 2 is 2

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

The graph of the functions p(x) and q(x)

The value of p(q(2)) is the value of the function p(x) at x = q(2)

When x = 2 is traced on the graph, we have

q(x) = 1 when x = 2

This means that

q(2) = 1

Next, we have

p(q(2)) = p(1)

When x = 1 is traced on the graph, we have

p(x) = 2 when x = 1

This means that

p(q(2)) = 2

Hence, the value of the function is 2

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A possible confounding variable that that would help explain the relationship between hair length and height of college age students is their gender.

Confounding variable is an extraneous variable that is related to both the dependent and independent variable, and it affects the result of the study. Therefore, it causes the effect of the independent variable on the dependent variable to be distorted. A possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender. If the study didn't control for gender, then it would be difficult to determine if the relationship between hair length and height of college age students was a direct relationship or if it was due to the confounding variable (gender).For example, if the study found that female college age students tend to have shorter hair and are shorter than male college age students. Therefore, this would make the relationship between hair length and height spurious. Hence, a possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender.

A possible confounding variable that would help explain the relationship between hair length and height of college age students is their gender. The gender of college age students could play a role in determining their height and hair length. If the study didn't control for gender, then it would be difficult to determine if the relationship between hair length and height of college age students was a direct relationship or if it was due to the confounding variable (gender). For example, if the study found that female college age students tend to have shorter hair and are shorter than male college age students. Therefore, this would make the relationship between hair length and height spurious. This means that the relationship between the two variables was not a direct one, but was rather due to the confounding variable (gender). Therefore, in order to determine if there is a direct relationship between hair length and height of college age students, the study needs to control for gender.

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Answer: \(m=\frac{1}{9}\)

Step-by-step explanation:

\(\frac{9}{7}m=\frac{1}{7}\)

Multiply by the reciprocal to isolate m.

\((\frac{7}{9} )\frac{9}{7}m=\frac{1}{7}(\frac{7}{9} )\)

\(m=\frac{1}{9}\)

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

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Yes, Paul's Online Math Notes is a good enough source for self-teaching calculus 3 and ODE.

The site is well-organized, with clear explanations and plenty of examples and practice problems. It also includes a section on differential equations, which is helpful for those studying ODE.

However, it is always a good idea to supplement your learning with additional resources, such as textbooks, online videos, and practice problems from other sources.

This will help you gain a deeper understanding of the material and ensure that you are well-prepared for exams.

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The number of the given statement will be inequality -2 < x <  4.

We have been given the statement "the sum of five times a number and three is between -7 and 23".

Let the number would be x

As per the given statement, we can represent this algebraic form with inequality as:

⇒ -7 < 5x + 3 < 23

Subtract 3 on both sides of the above inequality

⇒ -7 - 3 < 5x  < 23 - 3

⇒ -10 < 5x <  20

Divided by 5 into both sides of the above inequality

⇒ -2 < x <  4

Thus, the number of the given statement will be inequality -2 < x <  4.

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The question seems to be incomplete the correct question would be

Find the number if the sum of five times a number and three is between -7 and 23.

When the process of observing or measuring yields results that consistently deviate in some way from the true value, this is known as observer/measurement bias. Because of the systematic mistake this adds into the data, the conclusions are incorrect or unreliable.

Observer/measurement bias is a sort of systematic error that happens when the technique used for observation or measurement yields results that consistently deviate in some way from the true value. The observer's own preconceived ideas or expectations, the measurement equipment, and the environment in which the observation or measurement is being conducted can all contribute to this form of bias.An observer's bias, for instance, could cause them to see or measure something in a way that favours one particular result or outcome over another. Similar to how external influences like noise, light, or temperature can skew results, the environment in which the observation or measurement is taking place may add a bias. If feasible, results that are inaccurate or unreliable because of observer/measurement bias should be avoided because they can lead to incorrect inferences about the data.

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Answer:

The height is 12 meters

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh where b is the base and h is the height

144 = 1/2 (24)h

144 =12h

Divide each side by 12

144/12 = 12h/12

12 =h

The height is 12 meters

The formula to calculate the standard deviation (σ) of a binomial distribution is σ = √[n * p * (1 - p)] where n is the number of trials and p is the probability of success in each trial.

Substituting the given values, we get:

σ = √[10 * 0.70 * (1 - 0.70)]

σ = √[10 * 0.70 * 0.30]

σ = √2.1

σ ≈ 1.45

Therefore, the standard deviation of the binomial distribution with n = 10 and p = 0.70 is approximately 1.45.

Hence, the answer is 1.45.

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Step-by-step explanation:

so her minimum 4th score is calculated this way:

\( \frac{230 + 185 + 195 + x}{4} = 210 \\ 610 + x = 840 \\ x = 230\)

so in round four

her score should be x in the way that:

x≥230

Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

Step-by-step explanation:

Can i get braineist pls

(a) The present value of a payment of £500 made after 3 months using a simple rate of discount of 9% per annum can be calculated as follows:

Simple discount rate = (P x R x T) / 100

= (500 x 9 x 3) / 100

= £135

Therefore, the present value of the payment of £500 made after 3 months is £365.

(b) To find the equivalent simple rate of interest per annum, we use the formula:

Simple rate of interest per annum = (100 x D) / (P x T)

= (100 x 135) / (500 x 1)

= 27%

Hence, the equivalent simple rate of interest per annum is 27%.

(c) The equivalent effective rate of interest per annum can be calculated using the formula:

A = P (1 + r/n)^(nt)

Where A is the amount, P is the principal, r is the annual rate, n is the number of times per year, and t is the time.

A = 500(1 + 0.27/1)^(1 x 4/12)

= £581.26

Therefore, the equivalent effective rate of interest per annum is £81.26.

(d) The equivalent nominal rate of interest per annum convertible quarterly is found using the formula:

r = [(1 + i / n)^n] - 1

Where r is the nominal rate, i is the annual interest rate, and n is the number of times per year.

r = [(1 + 0.27 / 4)^4] - 1

= 0.339 or 33.9%

Thus, the equivalent nominal rate of interest per annum convertible quarterly is 33.9%.

(e) The equivalent nominal rate of discount per annum convertible quarterly can be calculated using the formula:

d = 1 - [(1 - i / n)^n]

Where d is the nominal rate, i is the annual interest rate, and n is the number of times per year.

d = 1 - [(1 - 0.27 / 4)^4]

= 0.200 or 20%

Therefore, the equivalent nominal rate of discount per annum convertible quarterly is 20%.

(f) The equivalent force of interest per annum is determined using the formula:

dP/P = r dt

Given the present value equation PV = FV / (1 + i) ^t, we can calculate:

£365 = 500 / (1 + i)^(3/12)

The force of interest is -0.109. Thus, the equivalent force of interest per annum is -10.9%.

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Answer:

Compound angle identities are trigonometric identities that relate the trigonometric functions of the sum or difference of two angles to the trigonometric functions of the individual angles.

The main compound angle identities are:

1. sin(A ± B) = sin(A)cos(B) ± cos(A)sin(B)

2. cos(A ± B) = cos(A)cos(B) ∓ sin(A)sin(B)

3. tan(A ± B) = (tan(A) ± tan(B)) / (1 ∓ tan(A)tan(B))

where A and B are any two angles.

These identities can be used to simplify trigonometric expressions, solve trigonometric equations, and prove other trigonometric identities.

For example, we can use the compound angle identity for sin(A + B) to find sin(π/4 + π/6):

sin(π/4 + π/6) = sin(π/4)cos(π/6) + cos(π/4)sin(π/6)

sin(π/4 + π/6) = (√2/2)(√3/2) + (√2/2)(1/2)

sin(π/4 + π/6) = (√6 + √2) / 4

Compound angle identities are an important part of trigonometry and are used in various fields such as physics, engineering, and mathematics.

Answer:

What is an equation of the line that passes through the point (-5,8) and is parallel to the line x + y = 8?

Equation of a Line:

There are different ways in solving for the equation of a line depending on the given values. The slope-intercept form can be used when the slope and y-intercept are given. Also, the point-slope form can be used when the slope and a point in the line are given.

Answer and Explanation: 1

Given:

a line that passes through the point

(

−

5

,

8

)

where

x

1

=

−

5

and

y

1

=

8

parallel to the line

x

+

y

=

8

Since parallel lines has the same slope, we solve for the slope of the equation

x

+

y

=

8

by transforming it to its slope-intercept form

y

=

m

x

+

b

where

m

is the slope.

x

+

y

=

8

y

=

−

x

+

8

m

=

−

1

Now, we have a slope

(

m

=

−

1

)

and a point in the line

(

x

1

=

−

5

,

y

1

=

8

)

, we can write an equation of the line using the point-slope form

y

−

y

1

=

m

(

x

−

x

1

)

y

−

y

1

=

m

(

x

−

x

1

)

y

−

8

=

−

1

(

x

−

(

−

5

)

)

y

−

8

=

−

1

(

x

+

5

)

y

−

8

=

−

(

x

+

5

)

Therefore, the equation of the line can be written as

y

−

8

=

−

(

x

+

5

)

the equation of line which passes through point (8,-5) and is parallel to line x+y = 8 is y = -x +3.

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, the given equation is :

x + y = 8

which passes through point (8,-5)

Let us first find the slope of line m which is parallel to the line x + y = 8 using point-intercept equation of line that is given by :

y = mx + c....(1)

x + y = 8

y = -x + 8

comparing above equation with equation (1) we get

m = -1

Now, the slope of line parallel to line x + y = 8 will have same slope that is m = -1

Now, Let us find the equation of the line using point-slope equation of line :

(y-y₁) = m(x-x₁)

Substituting all the values in above equation to get the equation of line :

(y-(-5)) = -1(x-8)

(y+5) = -x+8

y + 5 = -x +8

y = -x +3

Therefore, the equation of line which passes through point (8,-3) is y = -x +3.

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You did not post enough information.

Hi there!

\(\large\boxed{-n^2 + 4n}\)

Begin by evaluating f - g:

4n - 5 - (n² - 5)

Simplify:

4n - 5 - n² + 5  = 4n - n²

Or it can be written as -n² + 4n to match the first answer choice.