what of the following is a true statement based on graph shown?





1. R < Q
2. P > Q
3. R > S
4. R > Q

Oh and the last one number four it has a line under > ok​

Answer:

Step-by-step explanation:

The equation of the line is y = (2/3)x + 20/3.

The equation of a line is given by:

y = mx + c

where m is the slope of the line and c is the y-intercept.

Example:

The slope of the line y = 2x + 3 is 2.

The slope of a line that passes through (1, 2) and (2, 3) is 1.

We have,

The equation has:

Slope = 2/3

Passes through the line (-4, 4).

Now,

The equation of the line is y = mx + c.

m = 2/3

Consider (-4, 4) = (x, y)

So,

4 = (2/3)(-4) + c

4 = -8/3 + c

c = 4 + 8/3

c = (12 + 8) / 3

c = 20/3

Now,

y = (2/3)x + 20/3

Thus,

The equation of the line is y = (2/3)x + 20/3.

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Answer:

15

Step-by-step explanation:

In this problem we need to use the numbers given. So in the problem it states that k = 20 and v = 10. We can replace the letters in the equation for the numbers that it equals so the equation can make sense so 25 - 20 + 10 because k is 20 and v is 10 I simply just replaced the letters with the numbers given in the problem. Then we can just subtract 25 - 20 which is 5 and add 10 which leaves you at a final answer of 15. Hope this helped!

Answer:

ok so I found the answer, the plane has to go back to north

Step-by-step explanation:

Well first you have to remember the plane was supposed to go north

But then he crashed at East so he has to go back to North

        I hope this answered your question, Also for the diagram

        Um you can draw a quick picture that shows all of this information,

        So like, a triangle that shows where he needed to go and where he  

         went and in how many km it was from there to there.

              Im new so If this Did not help please get another person                  

The bearing of Manchester from Cambridge is 286 kilometers.

Given that a plane is at Manchester, which is 170km north of Worcester, and the plane flies in a straight line for 230km and lands in Cambridge, which is directly east of Worcester, to find the bearing of Manchester from Cambridge the following calculation must be done, applying the Pythagorean Theorem:

Therefore, the bearing of Manchester from Cambridge is 286 kilometers.

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Therefore the value after substituting these equation for f.g)(n)=(n+5)² - 4

"Substitute" is a verb that implies to use or include in place of something else. In this instance, we are replacing f with g(n).(n). Therefore, we are substituting g(n)² for n in f(n).

To substitute is to utilise or include something in place of something else. To substitute in mathematics is to change a variable with a number or expression.

The notation (f•g)(n) means f(g(n)). Therefore, we need to find g(n) first and then substitute it into f(n).

Given that g(n)=n+5, we can substitute it into f(n)=n²-4 to get:

(f•g)(n) = f(g(n)) = f(n+5) = (n+5)² - 4

Therefore the value after substituting these equation for f.g)(n)=(n+5)² - 4

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Answer:

D) Inequality

Step-by-step explanation:

Got it right on edge

Answer:

ㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋㅋ:)

Step-by-step explanation:

Answer:

i got 1.4

Step-by-step explanation:

1 2/3 - 5/6 = 5/6 ≅ 0.8333333

4 - 11/5 = 9/5 = 1 4/5 = 1.8

5/6 * 14/5 = 7/3 = 2 1/3 ≅ 2.3333333

2 1/3 / 15/9 = 7/5 = 1 2/5 = 1.4

Answer: f(8) = 620.6

Step-by-step explanation:

To solve, you must first use substitution, and replace the x value in the given function, with 8.

\(f(8)=\frac{750}{1 + 74e^{-0.734(8)} }\)

Next you follow PEMDAS to solve the rest of the equation to find f(8).

What is PEMDAS?

PEMDAS is the order of operations for mathematical expressions involving more than one operation.

You solve in the following order

In this case our next step is deal with the exponents.

And by doing so, you will be multiplying -0.734 by 8

\(f(8)=\frac{750}{1 + 74e^{-5.872} }\)

And typical with exponents we would raise the number or variable given to the power of the exponent.

However we have a continuous number in this case, which is e.

What is e?

e is a mathematical constant approximately equal to 2.71828

We can now use a calculator to find what e (2.71....) is when raise to the exponent -5.872. Which results to 0.002817 (0.0028172332293320237716146943697).

When continuing to use numbers in calculators, don't use the rounded or shortened of the full number. Make sure to use the all of the numbers (given in the calculator) to its full extent to maintain accuracy.

\(f(8)=\frac{750}{1 + 74(0.002817) }\)

Now multiply 74 and 0.002817.... (use the full number to multiply (0.0028172332293320237716146943697)). The product is (0.2084752589705697590994873833578).

\(f(8)=\frac{750}{1 + 0.2084 }\)

Now lets add 1 + 0.2084.... and you get 1.2084

\(f(8)=\frac{750}{1.2084 }\)

Last you need to divide:

and you get that

f(8) = 620.6167

Now lets go back to the question, and we see that is says for you to round your answer to the nearest tenth.

so your final answer is:

f(8) = 620.6

Answer:

9.99 inches

Step-by-step explanation:

Answer:

The answer selected is correct

Step-by-step explanation:

When talking about balance, having -X (being X in the negative) , means owing X.

Dylan owes $19.25

Elise owes $42.75

Francesca owes $23

Jamaal owes $35.50

So naturally, Dylan owes the least.

Answer:

P = 3300 Watts

Step-by-step explanation:

The question says "An electric shower with any of our houses consumes 30A and is powered at 110V. what is the power consumed by the shower".

Current, I = 30 A

Voltage, V = 110 V

We need to find the power consumed by the shower. We know that power is given by the formula.

P = VI

So,

\(P=110\times 30\\\\P=3300\ W\)

So, the required power is 3300 Watts.

Answer:

A maybe

Step-by-step explanation: sorry if wrong

a. There are three N's in PENNSYLVANIA. The probability of choosing an N can be calculated as follows:

Probability of choosing an N = (Number of N's in the word) / (Total number of letters in the word)

Probability of choosing an N = 3 / 12

Probability of choosing an N = 1 / 4

Therefore, the probability of choosing an N is 1/4.

b. There are two A's in PENNSYLVANIA. The probability of choosing an A can be calculated as follows:

Probability of choosing an A = (Number of A's in the word) / (Total number of letters in the word)

Probability of choosing an A = 2 / 12

Probability of choosing an A = 1 / 6

Therefore, the probability of choosing an A is 1/6.

c. There is only one E in PENNSYLVANIA. The probability of choosing an E can be calculated as follows:

Probability of choosing an E = (Number of E's in the word) / (Total number of letters in the word)

Probability of choosing an E = 1 / 12

Therefore, the probability of choosing an E is 1/12.

Answer:

B

Step-by-step explanation:

Answer:6

Step-by-step explanation:

Answer:

6.............................

Step-by-step explanation:

Answer:

She should win approximately 30 times.

Step-by-step explanation:

Since the probability of winning is 3/8, we multiply 3/8 with 80 to get 30.

The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

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SOLUTION

Given the question in the image, the following are solution steps to answer the question

STEP 1: Define Exponential function

An exponential function is a mathematical function of the following form:

where x is a variable, and a is a constant called the base of the function.

STEP 2: Check if the table in question 1 is an exponential function

Hence, the table in question 1 is not an exponential function, has no common ratio and has no specific exponential function.

Line AE is NOT parallel to line BD. This is because the intercepts made by the lines and the transversals are not proportional

In the given diagram,

If

\(\frac{|AB|}{|ED|} =\frac{|AC|}{|EC|}\)

Then,

Line AE is parallel to line BD

From the given information,

|AB| = x = 9

|ED| = 5

|AC| = 9 + 11 = 20

|EC| =5 + 7 = 12

Thus,

\(\frac{9}{20}=\frac{5}{12}\)

20 × 5 = 9 × 12

100 ≠ 108

∴ The lines are not parallel

Hence, line AE is NOT parallel to line BD. This is because the intercepts made by the lines and the transversals are not proportional

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Answer:

20

Step-by-step explanation:

side BC = side AB

so their base angles that is ∠A = ∠C = (3x+20)°

now, total measure of the angles of a triangle is 180° & ∠B = x°

Now,

m∠A + m∠B + m∠C = 180

⇒ 3x + 20 + x + 3x + 20 = 180

⇒ 7x + 40 = 180

⇒ 7x = 140

⇒x = 20

Answer:

Part 1:

P₂(0.07)=0.93245≈\(e^{-0.07}\)

Part 2:

Error=\(0.5618*10^{-4}\)

Step-by-step explanation:

Given:

\(f(x)=e^{x}\\f(-0.07)=e^{-0.07}\)

P₂(x)=\(1-x+\frac{x^2}{2}\)

Solution:

Part 1:

P₂(x)=\(1-x+\frac{x^2}{2}\)

We have x=0.07

Put Value of x in above Equation:

P₂(0.07)=\(1-0.07+\frac{0.07^2}{2}\)

P₂(0.07)=0.93245≈\(e^{-0.07}\)

Part 2:

\(e^{-0.07}\)=0.93239382 (Calculated using Calculator)

Error=|\(e^{-0.07}\)-P₂(0.07)|=|0.93239382-0.93245|=0.00005618

Error=|0.93239382-0.93245|

Error=0.00005618

Error=\(0.5618*10^{-4}\)

Answer:

3: 1/4 4:1/2 5: 27/32 6: 1/5 7: 1/6 8: 5/6

Step-by-step explanation:

Answer:

A. 7.5%

B. 68.26%

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Mean of 52.5 mm and a standard deviation of 2.5 mm.

This means that \(\mu = 52.5, \sigma = 2.5\)

A. Less than 48.9 mm

The proportion is the pvalue of Z when X = 48.9. So

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

\(Z = \frac{48.9 - 52.5}{2.5}\)

\(Z = -1.44\)

\(Z = -1.44\) has a pvalue of 0.075

0.075*100% = 7.5%, which is the answer.

B. Between 49 and 55

The proportion is the pvalue of Z when X = 55 subtracted by the pvalue of Z when X = 49. So

X = 55

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

\(Z = \frac{55 - 52.5}{2.5}\)

\(Z = 1\)

\(Z = 1\) has a pvalue of 0.8413

X = 49

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

\(Z = \frac{49 - 52.5}{2.5}\)

\(Z = -1\)

\(Z = -1\) has a pvalue of 0.1587

0.8413 - 0.1587 = 0.6826

0.6826*100% = 68.26%, which is the answer.

The percent of the butterflies had the given wingspans are;

A) 7.5%

B) 76.64%

We are given;

Population mean; μ = 52.5 mm

Population standard deviation; σ = 2.5 mm

Formula for z-score is;

z = (x' - μ)/σ

A) For less than 48.9 mm,P(X' < 48.9);

z = (48.9 - 52.5)/2.5

z = -1.44

From online p-value from z-score calculator, we have;

P(X' < 48.9) = 0.075 or 7.5%

B) For x' between 49 and 55, P(49 < X < 55)

At x' = 49;

z = (49 - 52.5)/2.5

z = -1.4

Z-score at x' = 55;

z = (55 - 52.5)/2.5

z = 1

From online p-value from z-score calculator, the p-value between the two z-scores is;

p = 0.7664 or 76.64%

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The equation of the graphed line is expressed in slope-intercept form as: b. y = 3x - 5.

The equation of a graphed line can be expressed in slope-intercept form as y = mx + b, where we have:

m = slope of the graphed line

b = y-intercept of the graph

Find the Slope:

Slope = rise/run = 3/1 = 3

The line intercepts the y-axis at -5, this means that the y-intercept of the graphed line is -5.

Substitute m = 3 and b = -5 into y = mx + b:

y = 3x - 5

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Answer:

5+2x=23 | x=9

Step-by-step explanation:

We would begin by using the Subtraction Property of Equality to isolate the variable (Subtract 5 from both sides.). Our product would now be 18. Then, we would use the Division Property Of Equality to isolate the 2 from the x (Divide 2 on both sides.). We would be left with x=9.

Answer: 12 dollars

Step-by-step explanation:

2x3x2=12

Easy math

Answer:

The correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

Step-by-step explanation:

What is probability?

Probability is the branch of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely it is that a claim is true.

To find which 2 books describe a pair of dependent events:

A pair of two dependent events are simply those in which the selection of the second item is contingent on the selection of the first item, causing the probability to change.

Because the sample size is lowered when the initial item is taken without replacement, choosing the exact same item reduces the chance.

Now, in regard to the question, this means that for two of the occurrences to be independent, they must be on the same shelf and of the same type of book, so that the second book cannot be selected until the first one is.

Option D, where both books are on the same shelf and are of the same type, is the only option that fulfills this requirement.

Therefore, the correct option is (D) one of the non-fiction books on the bottom shelf and a second non-fiction book from the bottom shelf.

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Answer:

\(6x^4y^8\sqrt{5x}\)

Step-by-step explanation:

\(\textsf{When $x > 0$ and $y > 0$, we want to find the expression that is equivalent to}\) \(\sqrt{180x^9y^{16}}.\)

\(\textsf{First, apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{180}\sqrt{x^9}\sqrt{y^{16}}\)

\(\textsf{Rewrite $x^9$ as $x^{8+1}$:}\)

\(\sqrt{180}\sqrt{x^{(8+1)}}\sqrt{y^{16}}\)

\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)

\(\sqrt{180}\sqrt{x^{8}\cdot x^1}\sqrt{y^{16}}\)

\(\sqrt{180}\sqrt{x^{8}}\sqrt{x}\sqrt{y^{16}}\)

\(\textsf{Apply\:the\:radical\:rule:\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad a\geq 0\)

\(\sqrt{180}\;x^{\frac{8}{2}}\sqrt{x}\;y^{\frac{16}{2}}\)

\(\sqrt{180}\;x^4\sqrt{x}\;y^8\)

\(\sqrt{180}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Rewrite $180$ as $(6^2 \cdot 5)$:}\)

\(\sqrt{6^2 \cdot 5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{6^2} \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0\)

\(6 \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}\)

\(6 \sqrt{5x}\;x^4\;y^8\)

\(\textsf{Rearrange:}\)

\(6x^4y^8\sqrt{5x}\)

\(\textsf{Therefore, when $x > 0$ and $y > 0$, the expression that is equivalent to}\)

\(\sqrt{180x^9y^{16}}\;\textsf{is}\;\;\boxed{6x^4y^8\sqrt{5x}}\:.\)

According to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

What is Chebyshev's Theorem?

The minimum percentage of observations that are within a given range of standard deviations from the mean is calculated using Chebyshev's Theorem. Several other probability distributions can be applied to this theorem. Chebyshev's Inequality is another name for Chebyshev's Theorem. For a large class of probability distributions, Chebyshev's inequality ensures that no more than a specific percentage of values can deviate significantly from the mean.

According to Chebyshev's Theorem, at least 1 - 1/k² of the revenues lie within k standard deviations of the mean.

So when k = 3.3

1 -  1/k² = 1 - 1/3.3² = 1 - 0.0918 = 0.9082 = 90.82% ≈ 91%

Therefore according to Chebyshev's Theorem, approximately 91% of the revenues are within k = 3.3 standard deviations of the mean.

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Answer:

Number of 2-point questions on the test as per given condition is equals to 8.

Total number of questions in a test = 28

Total points allotted for test = 100

Questions distribution as per points :

2-point questions, 4-point questions, and 5-point questions

'x' represents the 5-point questions

As per condition given,

Number of 2-point questions = 2x

Number of( 2-point  +  4-point +  5-point ) questions = 28

⇒ 2x + 4-point questions  + x = 28

⇒ 4-point questions  = 28 - 3x

Substitute the value in the given condition of the equation we get,

2(2x)+4(28-3x)+5(x) = 100

4x+112-12x+5x=100

112-3x=100

x=4