Draw the plot

Can someone plz help me with this

Both expressions illustrate the use of algebraic expressions.

The missing term of -46x + 18 is 2

The expressions are given as:

-4(12x - 5) + 2x and -46x + 18

Let the first term of -46x + 18 be represented with variable y.

So, we have:

y -46x + 18

Equate both expressions

\(-4(12x - 5) + 2x = y -46x + 18\)

Open brackets

\(-48x + 20 + 2x = y -46x + 18\)

Collect like terms

\(y = 46x - 48x + 2x + 20 - 18\)

\(y = 0 + 2\)

\(y = 2\)

Hence, the missing term is 2

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Answer:

6.3/7 or $0.90

Step-by-step explanation:

6.30 = 7

6.3/7 = 1

0.9

Hope this helps!

The solution of the equation 4x - 3  = 5 is not extraneous .

Extraneous solutions are values that we get when solving equations that aren't really solutions to the equation.

Therefore, let's solve the equation to know whether it is extraneous solution.

Hence,

4x - 3  = 5

add 3 to both sides of the equation

4x - 3 + 3 = 5 + 3

4x = 8

divide both sides of the equation by 4

4x / 4 = 8 / 4

x = 2

Therefore, it is not extraneous solution.

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Answer:

x = 6

Step-by-step explanation:

This is a bit of a tricky equation, and it's what we call an exponential equation since it involves some exponents. The way we begin to solve these kinds of problems is make the base on each side of the equals sign the same. On one side, we have 9 as our base, and on the other side, we have 3 as our base. 9 = 3², so we can rewrite our equation as shown below:

(3²)⁴ˣ⁻¹⁰ = 3⁵ˣ⁻²

From there, we can use the exponent rule (xᵃ)ᵇ = xᵃᵇ to simplify the left side of the equation.

3²⁽⁴ˣ⁻¹⁰⁾ = 3⁵ˣ⁻²

3⁸ˣ⁻²⁰ = 3⁵ˣ⁻²

Since our bases are now the same, we can take just the exponents and turn it into a new equation as shown below:

8x - 20 = 5x - 2

Hopefully at this point, this problem becomes easy for you, but I'll show how I solved this new equation below in case it doesn't make sense.

8x - 20 = 5x - 2

8x - 20 - 5x = 5x - 2 - 5x

3x - 20 = -2

3x - 20 + 20 = -2 + 20

3x = 18

3x/3 = 18/3

x = 6

Hopefully that's helpful! Let me know if you need more help. :)

Answer:

Step-by-step explanation:

4n

The probabilities, using the binomial distribution, are calculated as follows:

a) 2 will burn: 0.1812

b) At least 3 will burn: 0.7647.

c) Less than 3 will burn: 0.2353.

The mass probability formula, giving the probability of x successes, is of:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are given by:

The values of these parameters for this problem are given as follows:

n = 5, p = 0.65.

Hence the probability that two burn is given as follows:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 2) = C_{5,2}.(0.65)^{2}.(0.35)^{3} = 0.1812\)

The probability that less than 3 burn is of:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)

In which:

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 0) = C_{5,0}.(0.65)^{0}.(0.35)^{5} = 0.0053\)

\(P(X = 1) = C_{5,1}.(0.65)^{1}.(0.35)^{4} = 0.0488\)

\(P(X = 2) = C_{5,2}.(0.65)^{2}.(0.35)^{3} = 0.1812\)

Hence:

P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0053 + 0.0488 + 0.1812 = 0.2353.

Then the probability of at least 3 burning is of:

P(X >= 3) = 1 - P(X < 3) = 1 - 0.2353 = 0.7647.

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Use photo math, it will help you with your answer a lot more.

a. The data is approximately symmetric about

b. The mean, median and mode will be close to 8 .

c. Mean =8.35 ; Median =8 ; Mode is 8 .

First  The histogram of the data can be constructed using excel steps as follow:

Enter the data in to excel sheet.

Select the data and go to insert>chart>insert statistic chart> histogram.

The histogram thus obtained as: [See in attachment]

Step 2: The histogram has a long tail to its right side; therefore, the shape of the histogram is positively skewed. Since, the distribution is positively skewed, therefore, mean will be greater than median, median can be greater than or equal to mode that is -

Mean > Median > Mode

The sample mean of the data can be obtained as -

Mean (x) = \(\frac{\sum_{i=1}^{n} X_{i}}{n}\)

= (5 + ...+8)/20

= 8.35

Hence the sample mean is 8.35

Next

Arranging the data into ascending order  -

5, 6, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 11, 12

The data points are in even form.

Thus, the required median of the data can be obtained as -

Median = [(n/2)th term + ((n/2) + 1)th term]/2

= [(20/2)th term + ((20/2) + 1)th term]/2

= [(10)th term + ((11)th term]/2

= (8+8)/2

= 8

Tus, the mode =  8

Next

recall that

Mode is the most occurring value of a data set.

8 is occurring the most ( 7 times), therefore, the mode of the data is 8 .

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The experimental probability farthest from the theoretical probability is P(greater than 8). The theoretical probability of rolling a 9 is 1/12 because there is one 9 out of twelve total possible outcomes.

Experimental probability refers to the probability of an event based on data acquired from repeated trials or experiments.

Theoretical probability is the probability of an event occurring based on logical reasoning or prior knowledge. In Todd’s case, he rolled a 12-sided die marked with the numbers 1 to 12.

The probabilities are as follows:P(odd number) = 18/48P(greater than 8) = 16/48P(9) = 12/48To answer the questions:1. Which experimental probability matches the theoretical probability exactly?The theoretical probability of rolling an odd number is 6/12 or 1/2 because there are six odd numbers out of the twelve total possible outcomes.

The experimental probability Todd obtained was 18/48. Simplifying 18/48 to lowest terms gives 3/8, which is equal to 1/2, the theoretical probability.

Therefore, the experimental probability that matches the theoretical probability exactly is P(odd number).2. Which experimental probability is farthest from the theoretical probability? The theoretical probability of rolling a number greater than 8 is 3/12 or 1/4 because there are three numbers greater than 8 out of twelve total possible outcomes.

The experimental probability Todd obtained was 16/48. Simplifying 16/48 to lowest terms gives 1/3, which is not equal to 1/4, the theoretical probability.

The experimental probability Todd obtained was 12/48. Simplifying 12/48 to lowest terms gives 1/4, which is not equal to 1/12, the theoretical probability.

However, the difference between the experimental probability and the theoretical probability for P(9) is smaller than that of P(greater than 8). Therefore, P(greater than 8) is the experimental probability that is farthest from the theoretical probability.

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Answer: 24

Step-by-step explanation: Hope this helps.

Answer:

3: 20 pm

\( = > hours = 12 and 2 + 1hour = > 3 \: pm \\ minutes = 30 - 10 = 20 \: minutes \\ it \: ended \: at \: 3 : 20 \: pm\)

Answer:

it ended at 3.20pm

Step-by-step explanation:

12.50 to 1.50 is one hr

1.50 to 2.50 is two hrs

2.50 to 3.20 is two and half hrs

The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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Answer:

The correct answer is - $1977.7913.

Step-by-step explanation:

Given:

Maturity value = 2000

time = 3 years

rate = 6% compounded quarterly

Solution:

If  A is the Maturity Value, P is the Principal Amount, r is the Rate of Return, n is the Frequency And t is the Time in Year then the Formula for Compound Interest would be -

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

Putting the given values in formula,

2000 = P*(1 + (0.06/4))^(3*4)

P = 2000/(1 + (0.06/4))^(3*4)

Thus,

P = $1977.7913

Answer:

It is b and a

Step-by-step explanation:

Graph the inequality by finding the boundary line, then shading the appropriate area.

y>−7/3+2x/3

Answer: b and a is ur answer

Step-by-step explanation:

Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

The placement results provided, the student should start with Math 100.

The placement results indicate that the student has placements for Math 111, Math 100, and Math 102+. Math 111 typically corresponds to a higher-level course than Math 100, and Math 102+ implies a placement beyond Math 102.

To progress towards Math 103E, it is essential to follow the recommended course sequence. Usually, Math courses are designed to build upon previously learned concepts and skills. Starting with Math 100 would provide the foundational knowledge necessary to succeed in subsequent courses.

Therefore, the student should first start with Math 100, and upon successful completion, they can proceed to Math 103E. It is important for the student to consult with their academic advisor or the mathematics department at their institution for specific course placement and sequencing information to ensure they are following the appropriate path.

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Answer:

Step-by-step explanation:

Converting between Fraction, Decimal, and Percent:

Fraction to Decimal: Divide the numerator by the denominator. The result is the decimal form.

Example: 1/4 = 1 ÷ 4 = 0.25

Decimal to Fraction: Write the decimal as a fraction by placing the decimal value over the appropriate power of 10.

Example: 0.75 = 75/100 = 3/4

Fraction to Percent: Divide the numerator by the denominator and multiply by 100.

Example: 1/3 = (1 ÷ 3) × 100 = 33.33...%

Percent to Fraction: Write the percent as a fraction with a denominator of 100 and simplify if necessary.

Example: 40% = 40/100 = 2/5

Decimal to Percent: Multiply the decimal by 100 and add the percent symbol (%).

Example: 0.75 = 0.75 × 100 = 75%

Percent to Decimal: Divide the percent by 100.

Example: 40% = 40 ÷ 100 = 0.4

Under the units-of-activity method, the depreciation expense per mile for Bus #3 is $0.4616.

The units-of-activity method is one of the depreciation methods in use.

Under the units-of-activity method, the depreciation expense per unit is determined by dividing the depreciable amount by the total units of activity.

The depreciation amount (the value of the asset subject to depreciation) is the net of the total cost less the salvage value.

Depreciable amount of Bus #3 = $57,700 ($66,500 - $8,800)

Expected total miles for Bus #3 = 125,000

Depreciation expense per mile for Bus #3 = $0.4616 ($57,700 ÷ 125,000)

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Bus    Acquired    Cost    Salvage    Useful Life     Depreciation
                                          Value         in Years          Method

1          1/1/12      $99,100   $7,900           4             Straight-line

2         1/1/12      128,000     11,000          4             Declining- balance

3         1/1/13       66,350      8,800          5             Unit-of-activity

Answer:

i dont know just study hard bro

Step-by-step explanation:

Answer:

A =36 ft^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 ( b1+b2)h where b1 and b2 are the lengths of the bases

A = 1/2 ( 13+5) *4

A = 1/2 ( 18)*4

A =36 ft^2

The angle measure of the angle in the diagram is 62°.

From the question, we are to determine the angle measure of the angle shown in the diagram.

The angle shown is an acute angle.

An acute angle is an angle whose measure is less than 90°.

To determine the measure of the angle, we will read the angle from the side which the angle is closer to zero (0). We will read from 0 to the line that indicates the angle.

Reading the angle:

Reading the angle as explained above, the measure of the angle is 62°

Hence, the angle measure is 62°.

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Answer:

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 120, \sigma = 5.6\)

Find the probability that the individual's pressure will be between 119.4 and 121.4mmHg

This is the pvalue of Z when X = 121.4 subtracted by the pvalue of Z when X = 119.4. So

X = 121.4

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{121.4 - 120}{5.6}\)

\(Z = 0.25\)

\(Z = 0.25\) has a pvalue of 0.5987

X = 119.4

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{119.4 - 120}{5.6}\)

\(Z = -0.11\)

\(Z = -0.11\) has a pvalue of 0.4562

0.5987 - 0.4562 = 0.1425

0.1425 = 14.25% probability that the individual's pressure will be between 119.4 and 121.4mmHg.

Beyoncé 18 min = 18/60=  = .3 per hour

Kelly = 16 min. 16/60 = 2.6 per hour

So your answer is Beyoncé

Answer:

C

Step-by-step explanation:

A p e x

Answer:

the answer is " The Zeros are -5 and 8, becouse y=(x+5)(x-8)

Step-by-step explanation:

i just took the test

Answer:

Z = 60

Step-by-step explanation:

60+60+z=180

120+z=180

z=180-120

Z = 60

Step-by-step explanation:

Just multiply the two dimensions to get m^2  area

7.2 m * 11 m = 79.2 m^2

The percent error of the estimate is -2.14%

In this question, the figures are given as

Estimate = 5.5 cm

Actual = 5.62 cm

The percentage of the error is then calculated using the following equation

Error percentage = (Estimate - Actual)/Actual * 100%

Substitute the known values in the above equation, so, we have the following representation

Error percentage = (5.5 - 5.62)/5.62 * 100%

Evaluate

Error percentage = -2.14%

Hence, the error percentage is -2.14%

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Answer:

DVD: $16

CD: $11

Step-by-step explanation:

These two linear equations can represent the system of equations where x equals the cost of a DVD and y equals the cost of a CD:

3x+4y=92

2x+3y=65

When graphed, the solution is at (16,11).

Therefore, one DVD costs $16 and one CD costs $11.

Answer:

\(9 + \frac{n}{3} - 6 = 7\)

Step-by-step explanation:

Given

\(9 + \frac{n}{3} - 6\)

Required

Evaluate when n = 12

Substitute 12 for n in \(9 + \frac{n}{3} - 6\)

\(9 + \frac{n}{3} - 6 = 9 + \frac{12}{3} - 6\)

Simplify the fraction

\(9 + \frac{n}{3} - 6 = 9 + 4 - 6\)

\(9 + \frac{n}{3} - 6 = 7\)

Your answer is 7,

Known:n=12

So 12/3

First, we need to simplify 12/3

To simplify this, all we need to do is divide 12 by 3

12÷3=4

3 goes into 12 4 times.

So now our eqation is

9+4-6

9+4 is 13

13-6 is 7

Hope this helps

~`Learning with Natalia`~