18,20,16,20,16,17,17,17,18,16,19,20 find the modes

Based on the information in the graph, it can be inferred that the percentage that you forgot to write down (Thursday percentage) corresponds to the number: 35%

To find the missing percentage we must carefully analyze all the information in the table. In this case, all the percentages are proportional, so we could infer that a rule of three would be the most effective way to find the missing percentage.

To perform the rule of three we must use two of the data already shown in the table. For example, the first data:

If 11 defective containers represent 27.5%, what percentage does 14 containers represent?

In accordance with the above, we can infer that 14 defective containers represent 35%. So the correct answer is C.

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Answer:

Theoreticly u have a 1 in 8 chances. experimently it would be 40 in 320 chances

Step-by-step explanation:

So sorry if wrong. but this seems most reasonable to me. it seems to make the most sense though because of how many and multiplicaion to find it. once again sorry if wrong though.

Answer:

Small scooters = 6

Large scooters = 4

Step-by-step explanation:

Let S represents small scooter and L represents large scooter

The cost of a small scooter is £80

Mathematically,  the cost of S number of small scooters is

80S

The cost of a large scooter is £130

Mathematically,  the cost of L number of large scooters is

130L

The total amount spent on both scooters is £1000

Mathematically,

80S + 130L = 1000

So we have 2 unknowns and only 1 equation. Therefore, we have use trial and error method .

Trial and Error Method:

80S + 130L = 1000

80S = 1000 - 130L

S = (1000 - 130L)/80

Let’s suppose they bought 1 large scooter

S = (1000 - 130(1))/80

S = 10.875

Number of scooters cannot be in fraction so 1 doesn’t work

Let’s suppose they bought 2 large scooter s

S = (1000 - 130(2))/80

S = 9.25

Number of scooters cannot be in fraction so 2 doesn’t work

Let’s suppose they bought 3 large scooter s

S = (1000 - 130(3))/80

S = 7.625

Number of scooters cannot be in fraction so 3 doesn’t work

Let’s suppose they bought 4 large scooters

S = (1000 - 130(4))/80

S = 6

So that means they bought 6 small scooters and 4 large scooters.

Similarly, other combinations for scooters don’t work since they yield either fractional value or negative value which cannot be correct.

Therefore, the only possible combination of small and large scooters is

6 Small scooters

4 Large scooters

Verification:

80S + 130L = 1000

80(6) + 130(4) = 1000

480 + 520 = 1000

1000 = 1000 (satisfied)

Answer:

C.tan 44° = y over 110

Step-by-step explanation:

Took the test

The height of the lighthouse is 106.5m

Using the given diagram, we get

tan 44° = y / 110

0.965 = y / 110

y = 0.965 * 110 = 106.5m

The answer is 106.5m

The height of the object. The angle at which the observer views the topmost point of the object (angle of elevation) The angle at which the observer views the object when the observer is on top of a tower/building (angle of depression).

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Answer:

area= 449.2984 cm^2   if I understand correctly that the volume is 648 cm^3

Step-by-step explanation:

side length=the cube root of 648

side length=8.6535 cm

area=8.6536x8.6535x6=449.2984 cm^2

Answer:

c

Step-by-step explanation:

Problem 1

PMT = 505.76 = monthly payment

k = monthly interest rate in decimal form

k = 0.043/12 = 0.003583333 (approximate)

n = 5*12 = 60 months

PVOA = present value of ordinary annuity

PVOA = PMT * ( 1 - (1+k)^(-n) )/k

PVOA = 505.76 * ( 1 - (1+0.003583333)^(-60) )/0.003583333

PVOA = 27,261.436358296

When rounding to the nearest dollar, we get $27,261

Your teacher made a mistake in choosing the formula. S/he mixed up present value ordinary annuity with annuity due. The (1+k) portion at the end is ignored. I rewrote the 1/( (1+k)^n ) sub-portion as (1+k)^(-n) to avoid a bit of clutter.

--------

To type this into excel we will write

=PV(0.043/12,5*12,505.76,0,0)

That will produce the result of -27,261.44. The negative is to indicate a cash outflow.

Don't forget about the equal sign up front when writing excel formulas.

=====================================================

Problem 2

L = loan amount = 23099

k = interest rate per month = 0.051/12 = 0.00425 exactly

n = number of months = 5*12 = 60 months

PMT = monthly payment

PMT = (Lk)/(1 - (1 + k)^(-n) )

This formula is the result of solving PVOA = PMT * ( 1 - (1+k)^(-n) )/k for "PMT". The PVOA value is the loan amount in this case.

Let's plug in the values mentioned

PMT = (Lk)/(1 - (1 + k)^(-n) )

PMT = (23099*0.00425)/(1 - (1 + 0.00425)^(-60) )

PMT = 436.965684557303

PMT = 437 when rounding to the nearest whole number

--------

To do this in excel, we type in

=PMT(0.051/12,5*12,23099,0,0)

The output should be -436.97 which rounds to -437.

The value is negative to represent a cash outflow, but your teacher mentions to post the answer as a positive value.

The elevation of the road is 4800 feet.

From the question, we have

y = mx + b

where m is the rate of change, b is the initial value of y and y, x are variables.

Let y represent the elevation of the road after x miles.

After 2 miles, the elevation is 5500 feet above sea level.

5500 = 2m + b   (1)

After 4 miles, the elevation is 6200 feet above sea level.

6200 = 4m + b   (2)

Solving equation 1 and 2, we get

m = 350, b = 4800

The elevation of the road 4800 feet.

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers. The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

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Answer:

He can run 112 yards in 12 seconds

Step-by-step explanation:

Here, we want to know the number of yards he can run in 12 seconds

From the question, we are told that his running rate is 38 yards in 4 seconds

So the number of yards he can run in 12 seconds will be;

38 * 12/4

= 38 * 3 = 114 yards

The simplified expression for (f ∘ g)(x) is 2 + x (option d).

To find and simplify (f ∘ g)(x), we need to substitute the expression for g(x) into f(x) and simplify.

Given:

f(x) = log₃(9x)

g(x) = \(3^x\)

Substituting g(x) into f(x):

(f ∘ g)(x) = f(g(x)) = log₃\((9 * 3^x)\)

Now, we simplify the expression:

log₃\((9 * 3^x)\) = log₃(9) + log₃\((3^x)\)

Since logₓ(a * b) = logₓ(a) + logₓ(b), we have:

log₃(9) + log₃\((3^x)\) = log₃\((3^2)\) + x

Using the property logₓ\((x^a)\) = a * logₓ(x), we get:

log₃\((3^2)\) + x = 2 * log₃(3) + x

Since logₓ\((x^a)\) = a, where x is the base, we have:

2 * log₃(3) + x = 2 + x

Therefore, (f ∘ g)(x) simplifies to:

(f ∘ g)(x) = 2 + x

So, the correct answer is (d) 2 + x.

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Complete Question:

Given f(x)=log₃(9x) and g(x)=\(3^x\). Find and simplify (f ∘ g)(x)

(a) 2x

(b) x

(c) \(27^x\)

(d) 2+x

(e) None of these.

Step 1

Given;

Step 2

A) The equation of the graph will be;

At the interval [0,2]

B)

C)

D)

Answer;

In linear equation, 4.9 kilograms is an average elephant's brain .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.

An average human's brain is 1.5 kilograms.

   =   1.5 + 3 4/10

   = 1.5 + 3.4

    =  4.9

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⇛6 + 3x = 7 - x

⇛3x + x = 7 - 6

⇛4x = 1

⇛x = 1/4

Answer:

x=0.25 or 1/4

Step-by-step explanation:

The regression function given is a log-log model where the natural logarithm of the dependent variable is a linear function of the natural logarithm of the independent variables. Test the significance of the coefficients and the overall goodness of fit of the model using appropriate statistical tests.

The regression function given is a log-log model where the natural logarithm of the dependent variable is a linear function of the natural logarithm of the independent variables. The model has three independent variables, X1, X2, and X3, and the coefficients B1, B2, and B3 represent the percentage change in Y for a 1% change in X1, (140-X2), and X3, respectively. The coefficient B0 is the intercept.

To fit the regression function based on theoretical considerations, we need to use the principles of economic theory or other relevant theory to derive the functional form of the model. Once the theoretical model is derived, we can estimate the coefficients using regression analysis. In this case, the theoretical argument suggests a log-log model, and we can use the method of ordinary least squares (OLS) to estimate the coefficients.

To estimate the coefficients, we need a dataset with observations on the dependent variable Y and the independent variables X1, X2, and X3. Once we have the data, we can use a statistical software package to perform the regression analysis and obtain the estimates of the coefficients. We can also test the significance of the coefficients and the overall goodness of fit of the model using appropriate statistical tests.

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Answer: 12 friends

Step-by-step explanation:

Answer:

−3x^2+2x /x−2

Step-by-step explanation:

4x−9x^3/ 3x^2−4x−4

=  −9x^3+4x /3x^2−4x−4

=  x(−3x+2)(3x+2) /(3x+2)(x−2)

=  −3x^2+2x /x−2

Answer:

The second term becomes the reciprocal and then you multiply the first term by the second term

Answer:

A. second

Step-by-step explanation:

When dividing fractions, we always take the second term and flip that. In other words, we convert the second term into its reciprocal. Remember the phrase "flip the guy, and multiply!" Essentially, the "guy" just refers to the second term.

For example, if we have 1/3 ÷ 2/5, in order to solve this, we flip the second term, which is 2/5 so that it becomes 5/2 and then multiply:

1/3 ÷ 2/5 = 1/3 × 5/2 = 5/6

The answer is thus A.

~ an aesthetics lover

(a)The optimal order quantity is  4609 units.

(b)The time between orders is  1.98 months.

To determine the optimal order quantity and the approximate time between orders, the Economic Order Quantity (EOQ) model. The EOQ model minimizes the total cost of inventory by balancing ordering costs and carrying costs.

Optimal Order Quantity:

The formula for the EOQ is given by:

EOQ = √[(2DS) / H]

Where:

D = Annual demand

S = Cost per order

H = Holding cost per unit per year

calculate the annual demand (D) using the 2020

sales numbers provided:

D = 651 + 808 + 514 + 174 + 435 + 426 + 687 + 582 + 662 + 1551 + 1295 + 1774

= 9559 units

To calculate the cost per order (S) and the holding cost per unit per year (H).

The cost per order (S) is given as $500.

The holding cost per unit per year (H)  calculated as follows:

H = Carrying cost percentage × Unit value

= 0.30 × $3

= $0.90

substitute these values into the EOQ formula:

EOQ = √[(2 × 9559 × $500) / $0.90]

= √[19118000 / $0.90]

≈ √21242222.22

≈ 4608.71

Approximate Time Between Orders:

To calculate the approximate time between orders, we'll divide the total number of working days in a year by the number of orders per year.

Assuming 360 days in a year and a lead time of 1 week (7 days) for shipping, we have:

Working days in a year = 360 - 7 = 353 days

Approximate time between orders = Working days in a year / Number of orders per year

= 353 / (9559 / 4609)

= 0.165 years

Converting this time to months:

Approximate time between orders (months) = 0.165 × 12

= 1.98 months

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a

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

since b is NEGATIVE 6, you are really just taking 6 away from 34.

So, 34-6

Hope this helped!

Answer:

Step-by-step explanation:

Sally will clean in one hour

2/5*3=6/5=1 1/5 houses in one hour

The interquartile range (IQR) is a measure of the spread or variability of the middle 50 percent of the data.

The interquartile range (IQR) is a statistical measure that describes the spread or dispersion of the middle 50 percent of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of a dataset.

The quartiles divide a dataset into four equal parts, each representing 25 percent of the data. The first quartile (Q1) represents the lower boundary of the middle 50 percent, while the third quartile (Q3) represents the upper boundary of the middle 50 percent. The IQR captures the range of values within this middle range.

By focusing on the middle 50 percent of the data and excluding the extreme values, the interquartile range provides a measure of variability that is less affected by outliers or extreme values. It is commonly used in descriptive statistics and data analysis to understand the spread and distribution of a dataset, particularly when the data is not symmetrically distributed or contains outliers.

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Answer:

x/8 + 9 =5

Step-by-step explanation:

Quotient is division and I decided to use x as my number so the first part is x/8. Then you do the nine more because more is addition to whatever is after it in our case it is x/8 so now you have x/8 + 9. Then it says equals 5 so the equation is x/8 + 9 = 5

I hope this helps!

Ionization energy generally increases as you move left to right in Period 4 from potassium through iron on the periodic table.

Ionization energy refers to the amount of energy required to remove an electron from an atom or ion in the gaseous state. As you move from left to right in Period 4, the number of protons in the nucleus increases, resulting in a stronger attraction between the nucleus and the electrons. This increased attraction makes it more difficult to remove an electron, hence requiring more energy. Therefore, ionization energy generally increases as you move from potassium to iron in Period 4 on the periodic table.

This trend can be observed by looking at the atomic numbers of the elements in Period 4. Potassium has a lower ionization energy compared to iron because it has fewer protons and a larger atomic radius. As you move towards iron, the increasing number of protons leads to a stronger nuclear charge, resulting in higher ionization energy. However, it's important to note that there may be some irregularities or exceptions within this trend due to factors such as electron configuration and shielding effects.

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Answer:

Step-by-step explanation:

take 45 degree as reference angle

using cos rule

cos 45=adjacent/hypotenuse

1/\(\sqrt{2}\)=x/4(do cross multiplication)

x\(\sqrt{2\)=4

x=4/\(\sqrt{2}\)

x=2\(\sqrt{2}\)

Answer:

Domain ( -4,0, 5) Range ( -7, -3, 2, 6)

Step-by-step explanation:

The domain and range of the given relation {(4, -7), (0, 6), (5,-3), (5, 2)}

is:

Domain = { 4, 0, 5, 5 }

Range = { -7, 6, -3, 2 }

Given,

{(4, -7), (0, 6), (5,-3), (5, 2)}

We need to find what is the domain and range of this relation.

A function has an input and an output.

Example: f(x) = x + 4

Now,

x = 1, 2, 3

f(1) = 1 + 4 = 5

f(2) = 2 + 4 = 6

f(3) = 3 + 4 = 7

Here,
Domain = 1, 2, 3

Range = f(1), f(2), f(3) = 5, 6, 7

We can also write it as { (1,5), (2,6), (3,7)}

Find the relation.

(4, -7)

Here,

domain = 4 and range = -7

(0, 6)

domain = 0 and range = 6

(5,-3)

domain = 5 and range = -3

(5, 2)

domain = 5 and range = 2

Find the domain and range of {(4, -7), (0, 6), (5,-3), (5, 2)}.

Domain = { 4, 0, 5, 5 }

Range = { -7, 6, -3, 2 }

Thus the domain and range of the given relation {(4, -7), (0, 6), (5,-3), (5, 2)}

is:

Domain = { 4, 0, 5, 5 }

Range = { -7, 6, -3, 2 }

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AB is not perpendicular to CD

Perpendicular lines are two separate lines that cross one other at a right angle, or a 90° angle. Example: Because AB and XY overlap at a 90° angle, AB is perpendicular to XY in this instance.

Lines that cross one other at an angle are known as perpendicular lines. Their slopes are the reciprocal opposites of one another.

Given A (-2, 4, 0),B(1, 1, 1),C(2, 3, 4),D (3, 21, -8)

(-1,3,-1) for AB

(-1,-18,12) for CD

For the lines AB and CD to be perpendicular

a 1a2+b1b2+c1c2=0

-1(-1)+3(-18)+(-1)(12)

=1-54−12=-65not equal to 0

∴ AB not perpendicular to CD

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Answer:

3.4561 and 3.4562

Step-by-step explanation:

there are uncountable infinitely many numbers...

Answer:

Answer is 3.456 , 3.456.

Step-by-step explanation:

3.456=3.4560

3.457=3.4570

then numbers between 3.45610 and 3.4570

is - 3.4561 , 3.4562 , ..........., 3.4570

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