HELP!!!!
The measure of side BC =

Answer:

120

Step-by-step explanation:

90÷6=15×8=120

Independent samples make up the ratings for each circumstance. Using pairs of sample means from various levels of a factor, it is possible to identify those that differ significantly from one another.

Statistics uses variance as a metric for variability. It evaluates the square root of the average deviation between the data values and the mean. It includes all data points in its calculations, unlike some other statistical measures of variability, by comparing each value to the mean. Variances can happen for internal or external causes, and they might involve things like human mistake, unrealistic expectations, and shifting business or economic conditions.

Correct option:

(b) pairs of sample means from different levels of a factor to determine which are significantly different each other.

(3) Correct option:

a.    between

Explanation: In ANOVA, an independent variable studied using independent samples in all conditions is called a between subjects factor.

(4) Correct option:

a.   within

Explanation: In ANOVA, an independent variable studied using related samples in all conditions is called a within subjects factor.

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There are 5 erasers to accompany the 20 pencils based on the given ratio.

If the ratio of pencils to erasers is 4:1, and there are 20 pencils, we can determine the number of erasers by setting up a proportion.

The proportion can be written as:

pencils/erasers = 4/1

Given that there are 20 pencils, we can substitute this value into the proportion:

20/erasers = 4/1

To solve for erasers, we can cross-multiply:

\(20*1=4*erasers\)

\(20 = 4*eraser\)

Since there is only 1 unit assigned to erasers, we multiply the unit value (5) by the number of eraser units (1) to find the total number of erasers, which is 5.

Dividing both sides by 4:

20/4 = erasers

5 = erasers

Therefore, there are 5 erasers.

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Answer:

the slope of the line x+y = 6 is -1.

Step-by-step explanation:

slope = - coefficient of x

----------------------

coefficient of y

slope = -1 /1

slope = -1

Answer:

A: -1

Step-by-step explanation:

The obligation can be settled by making a payment of $12,000 now and a final payment of $32,000 in 4 years. (Answer: Alt 1:30125)

Given an obligation can be settled by making a payment of $12,000 now and a final payment of $32,000 in 4 years. Alternatively, the obligation can be settled by payments of $2,700 at the end of every three months for five years. Interest is 10%, compounded quarterly. In order to find the correct answer, we need to find the Present Value (PV) of both options of settling an obligation. After finding the PV of both options, we will choose the lower value as it will cost less to settle the obligation. Formula used for PV:

PV = FV/(1 + r)ⁿ

Where, FV = Future Value

r = rate

n = time period

First, we will calculate PV of Option 1.

Option 1: PV = $12,000 + $32,000/(1 + 0.10/4)⁴

PV = $12,000 + $32,000/1.10²⁰

PV = $12,000 + $10,355.67

PV = $22,355.67

Secondly, we will calculate PV of Option 2.

Option 2: PV = $2,700[1 - 1/(1 + 0.10/4)^(5 * 4)]/(0.10/4)

PV = $2,700[1 - 1.1⁻²⁰]/0.025

PV = $2,700 * 11.783254

PV = $31,825.15

Comparing both options, we have $22,355.67 and $31,825.15 and $22,355.67 < $31,825.15

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Step by step explanation

let x be the number of minutes and y be the total charges per month

A. Melissa's cell phone plan charges two cents a minute plus a $10 monthly fee.

y=0.02x+10

B. Sandra's cell phone plan charges seven cents a minute.

y=0.07x

C. Holly's cell phone plan charges five cents per minute. She also receives a $5 discount each month.

y=0.05x-5

D. Alicia's cell phone plan charges six cents per minute plus a $5 monthly fee.

y=0.06x+5

Let's simplify step-by-step

8y-3x/4/4 -(-7+5x/3)

Distribute:

=-3/16 x +1/2 y+-5/3 x+7/3

Combine like terms:

=-3/16x+1/2 y +-5/3x+7/3

=(-3/16x+-5/3x)+(1/2y)+(7/3)

=-89/48x +1/2y+7/3

Answer: -89/48x+1/2y+7/3

The answers, rounded to the appropriate number of significant figures, are as follows:

(a) 1.088 ×\(10^2\)

(b) 2.132

(c) 1.3331 ×\(10^1\) and

(d) 1.05.

Let's calculate the answers to the given operations using the appropriate number of significant figures.

(a) 8.370×1.3×10

To perform this multiplication, we multiply the decimal numbers and add the exponents of 10:

8.370 × 1.3 × 10 = 10.881 × 10 = 1.0881 × \(10^2\)

Since the original numbers have four significant figures, we round the final answer to four significant figures:

1.088 × \(10^2\)

(b) 4.265/2.0

For division, we divide the decimal numbers:

4.265 ÷ 2.0 = 2.1325

Since both numbers have four significant figures, the answer should be rounded to four significant figures:

2.132

(c) (1.2588×\(10^3\))×(1.06×\(10^-^2\))

To multiply these numbers, we multiply the decimal numbers and add the exponents:

(1.2588 × \(10^3\)) × (1.06 × \(10^-^2\)) = 1.333128 × \(10^1\)

Since the original numbers have five significant figures, we round the final answer to five significant figures:

1.3331 × \(10^1\)

(d) \((1.11)^(^1^/^2^)\)

To calculate the square root, we raise the number to the power of 1/2:

\((1.11)^(^1^/^2^)\)= 1.0524

Since the original number has three significant figures, the answer should be rounded to three significant figures:

1.05

It's important to note that the significant figures in a result are determined by the original data and the operations performed. The final answers provided above reflect the appropriate number of significant figures based on the given information and the rules for significant figures.

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a) The function f(x) = 1 / ((x - a)(x - b)) has two vertical asymptotes.
b) The sketch would show two vertical lines with a "V" shape near the asymptotes.

a) The function f(x) = 1 / ((x - a)(x - b)) has two vertical asymptotes at x = a and x = b. Around these asymptotes, the behavior of the function depends on the signs of the factors (x - a) and (x - b).

- If (x - a) is positive and (x - b) is positive, as x approaches a or b from the left side, the function approaches positive infinity.

- If (x - a) is negative and (x - b) is positive, as x approaches a from the right side, the function approaches negative infinity.

- If (x - a) is positive and (x - b) is negative, as x approaches b from the right side, the function approaches negative infinity.

- If (x - a) is negative and (x - b) is negative, as x approaches a or b from the right side, the function approaches positive infinity.

b) The sketch of the function around the vertical asymptotes would show two vertical lines at x = a and x = b. On one side of each asymptote, the function would approach positive infinity, and on the other side, it would approach negative infinity.

The graph would have a "V" or "∧" shape near the asymptotes, with the arms of the "V" extending towards positive and negative infinity.

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Answer:

15-3 over 6 or 12/6 or 2

Step-by-step explanation:

The derivative of  h is , h'(1) = √5.

To find derivative h'(1), we can use the chain rule of differentiation:

h(x) = √(5/4) * f(x)

Taking the derivative of both sides with respect to x:

h'(x) = √(5/4) * f'(x)

Now, substituting x = 1:

h'(1) = √(5/4) * f'(1)

We are given that f(1) = 5 and f'(1) = 2, so substituting these values:

h'(1) = √(5/4) * 2

Simplifying:

h'(1) = √5

Therefore, h'(1) = √5.

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Answer:

a) 0.25 stands for 25 cents per mile

b) 32 stands for $32 just to rent the car

Step-by-step explanation:

Answer:

answer below

Step-by-step explanation:

2. The slope is 4

3. The slope is 3.

4. the slope is 14.

5. She reads 2100 pages in x hours                                  

Answer:

Step-by-step explanation:

19?

Step-by-step explanation:

a row n adds the number n to the sum (= the first number from the right in row n-1), and therefore also n to the 3rd number from the right of row n-1.

in any case, the first number from the right is the result of

1 + 2 + 3 + 4 + 5 + ... + n-1 + n

that sum is

n(n+1)/2

for the row 20 that is

20×21/2 = 10×21 = 210

the 3rd number from the right in row 20 is then

210 - 2 = 208

Answer:

2

Step-by-step explanation:

The trick here is to reduce each of the bases to lowest form first

\(12 = 3.4 = 3 .2.2 = 3.2^{2}\\12^{3} = (3.2^{2} )^{3} = 3^{3}2^{6} \\6 = 3.2\\6^{5} = (3.2)^{5} = 3^{5} .2^{5} \\\\Numerator = 3^32^63^52^5 = 3^82^{11}\\Denominator computation\\9 = 3^2\\9^{4} = (3^{2} )^4 = 3^{8} \\Denominator = 3^82^{10} \\\\\frac{Numerator}{Denominator } =\frac{{3^8}{2^{11} }}{3^82^{10}} = \frac{2^{11}} {2^{10}} = 2^1 = 2\)  

Answer:

97.96 inches squared

Step-by-step explanation:

Finding the length of all the sides of the square painting.

Área = lenght × Breath

Area = 600

(because it's a square all sides are equal meaning length is equal to breath thus representing them with L in the equation length × breath = L × L = L² )

600 = L²

taking roots of both sides.

√600 = √L²

24.49 = L

thus each side of the square painting is relatively 24.49 square inches

solving for Perimeter :

Perimeter of a square is given as = 4×L

(where L is representing the length of any of the sides because they are equal.)

but, L = 24.49

thus ;

Perimeter = 24.49 × 4

= 97.96 inches squared.

From the given information, total surplus in a market is equal to the sum of consumer surplus and producer surplus.

Consumer surplus is the difference between the highest price a consumer is willing to pay for a good or service (the "reservation price") and the actual price they pay. Producer surplus is the difference between the lowest price a producer is willing to accept for goods or services and the actual price they receive.

When a market is in equilibrium, the price and quantity are such that the quantity demanded equals the quantity supplied. At this point, total surplus is maximized, since all trades that benefit both consumers and producers have taken place. The total surplus represents the net benefit to society from the production and consumption of the good or service in the market.

In other words, total surplus is the sum of the gains from trade that accrue to consumers and producers in the market, and it represents the difference between the value that buyers and sellers place on the good or service and the resources that were actually used to produce it.

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Answer:

The answer is D

Step-by-step explanation:

You have to multiply each amount given by 200 and then add the two

200 x $10 = $2,000

200 x $15 = $3,000

$2,000 + $3,000= $5,000

The quadratic equation \(3z^2 + 3z - 6 = 0\) can be simplified by factoring and solving for z. In this case, the expression can be rewritten as \(3(z^2 + z - 2) = 0\). To find the roots, we set each factor equal to zero: \(z^2 + z - 2 = 0\). This equation can be factored into (z + 2)(z - 1) = 0. Therefore, the solutions are z = -2 and z = 1.

To simplify the quadratic equation

 \(3z^2 + 3z - 6 = 0\),

\(3(z^2 + z - 2) = 0\)

\(z^2 + z - 2\).

To factor this expression, we need to find two numbers whose sum is equal to the coefficient of the linear term (in this case, 1) and whose product is equal to the constant term (in this case, -2). The numbers that satisfy these conditions are 2 and -1.

The solutions are z = -2 and z = 1, indicating the values of z that satisfy the original quadratic equation.

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The interval containing the middle 95% of the simulation data is approximately 0.3426 to 0.5374.

To create an interval containing the middle 95% of the data based on the simulation results, we can use the concept of confidence intervals. Since the simulation was repeated 100 times, we can calculate the proportion of tails in each set of 100 flips and then find the range that contains the middle 95% of these proportions.

Let's calculate the interval:

Calculate the proportion of tails in each set of 100 flips:

Proportion of tails = 44/100 = 0.44

Calculate the standard deviation of the proportions:

Standard deviation = sqrt[(0.44 * (1 - 0.44)) / 100] ≈ 0.0497

Calculate the margin of error:

Margin of error = 1.96 * standard deviation ≈ 1.96 * 0.0497 ≈ 0.0974

Calculate the lower and upper bounds of the interval:

Lower bound = proportion of tails - margin of error ≈ 0.44 - 0.0974 ≈ 0.3426

Upper bound = proportion of tails + margin of error ≈ 0.44 + 0.0974 ≈ 0.5374

Therefore, the interval containing the middle 95% of the simulation data is approximately 0.3426 to 0.5374.

Now, we can compare the observed proportion of 44 tails in 100 flips with the simulation results. If the observed proportion falls within the margin of error or within the calculated interval, then it can be considered consistent with the simulation results. If the observed proportion falls outside the interval, it suggests a deviation from the expected result.

Since the observed proportion of 44 tails in 100 flips is 0.44, and the proportion falls within the interval of 0.3426 to 0.5374, we can conclude that the observed proportion is within the margin of error of the simulation results. This means that the result of 44 tails in 100 flips is reasonably likely to occur with a fair coin based on the simulation.

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The instantaneous speed with which the pile is rising at 4cm is 3.18cubic cm/sec.

Given that:

The sand is being poured onto a surface at rate of  speed.

That means, as each second passes, 40 cubic centimeters of sand is added to that conical shape.

Also, it is given that:

Diameter of base of the cone being formed = Altitude of the cone

Thus, radius of the base of the cone = half of altitude of the cone

or

r = h/2

Volume of cone = 1/3 × π× r² × h

V = 1/3 ×π×h³/12

It is known that dv/dt = 40

So,

dv/dt = d 1/3 ×π×h³/12/dt

40 = π × h²/4 dh/dt

dh/dt = 160/π × h²

Now when h = 4cm ,

dh/dt = 10/π

dh/dt = 3.183 .

Thus, at 4 cm height of pile, the altitude of the pile is rising at the instantaneous speed 3.183 cubic cm/sec.

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The final answer is

Answer: To verify Mr Ngobeni's statement, we need to calculate his total deductions as a percentage of his net salary and compare it to 25%.

Let's assume Mr Ngobeni's net salary is R10,000.

If his deductions are R2,000, then his total deductions as a percentage of his net salary is:

(2000/10000) x 100% = 20%

Since 20% is less than 25%, Mr Ngobeni's statement is valid.

If his deductions were higher, say R3,000, then his total deductions as a percentage of his net salary would be:

(3000/10000) x 100% = 30%

Since 30% is greater than 25%, Mr Ngobeni's statement would not be valid in this case.

For the given data, current value of the gold in which Shelby invested is $1548.60 per ounce which is 38.9% more than its original value then the original purchase price is equal to $1114.90 per ounce.

As given in the question,

Current value of the gold is $1548.60 per ounce

Let x be the original purchase price of the gold invested by Shelby

Current value is 38.9% more than the original value of the gold

Required equation to represent the relation between current value and purchase price is given by:

x + (38.9 x/100) = 1548.60

⇒ ( 100x + 38.9x) /100 = 1548.60

⇒ 138.9x /100 = 1548.60

⇒ x = (1548.60 × 100 ) / 138.9

⇒ x = 1114.90 per ounce

Therefore, for the given data, current value of the gold in which Shelby invested is $1548.60 per ounce which is 38.9% more than its original value then the original purchase price is equal to $1114.90 per ounce.

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Answer:

1/3

Step-by-step explanation:

Does the spinner only have these 3 sections?

If so, the probability of spinning an odd number is 1/3. There are a total of 3 possibilities (denominator), and only 1 is odd (numerator).

The P(odd) is the probability of spinning an odd number that would be equal to 1/3.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

You spin the spinner once.

6, 7, 8

There are a total of 3 possibilities (denominator), and only 1 is odd (numerator).

So, the probability of spinning an odd number = 1/3.

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Answer:

the answer to your equation is Z=0(with a slash on the = sign)

Step-by-step explanation:

-cz+6z-6z=tz+83-6z

-cz=tz+83-6z

Divide both side by -z

simplify and you get Z=0

The statement does not make sense because the table showing z-scores and percentiles displays the percentage of data items between a given value of z and its opposite, -z. The correct answer is D.

The z-score table shows the percentage of data items between the mean and a certain number of standard deviations above or below the mean, which can be calculated using z-scores.

It provides information about the percentage of data items between a certain value of z and its opposite (-z) as well as the percentage of data items below and above a certain value of z. Therefore, the statement does not make sense because the z-score table does display the percentage of data items greater than a given value of z. The correct answer is D.

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Answer:

Step-by-step explanation:

x      - some integer

2x+1      - an odd integer (the smaller one)

2x+1+2=2x+3       - the next odd integer consecutive to 2x+1  (the larger)

2×(2x+1)       - twice the smaller number

2x+3+2•(2x+1)     -the sum of the larger number and twice the smaller number

4•(2x+1)      - four times the smaller number

4•(2x+1)-27     - 27 less then four times the smaller number

2x + 3 + 2•(2x + 1) = 4•(2x + 1) - 27

2x + 3 + 4x + 2 = 8x + 4 - 27

            6x + 5  =  8x - 23

                  -5            -5

              6x  =  8x - 28

             -8x       -8x

            -2x  =  - 28

          ÷(-2)      ÷(-2)

              x  = 14

2x+1 = 2•14 + 1 = 29

2x+3 = 2•14 + 3 = 31

Check:  31+2•29=31+58=89;  4•29-27=116-27=89