A quiz consists of 10 multiple choice questions, each with five possible answers, one of which is correct. To pass the quiz a student must get 60% or better on the quiz. If a student randomly guesses, what is the probability that the student will pass the quiz?
According to government data, the probability that an adult was never in a museum is 15%. In a random survey of 10 adults, what is the probability that at least eight were in a museum?

Answer:

I have fallen and I can’t giddy up!

Step-by-step explanation:

The given planes intersect at some line. The objective is to find the parametric representation of that line. Now, the direction of the line can be determined by the cross product of the normal vectors of the planes.

Then, the position of a point on the line can be obtained by solving for the point that satisfies both the plane equations. Using x−2y+2z=−5 and x+3y−3z=0, we can obtain the normal vectors of the planes.\\([\vec{n_1} = \begin{bmatrix} 1 \\ -2 \\ 2 \end{bmatrix}\]\)and \\([\vec{n_2} = \begin{bmatrix} 1 \\ 3 \\ -3 \end{bmatrix}\]\)Taking the cross product of the two vectors, we can obtain the direction of the line. \(\[\vec{d} = \vec{n_1} \times \vec{n_2} = \begin{bmatrix} 6 \\ 3 \\ 9 \end{bmatrix}\]\)Now, we need to find a point on the line.

That can be obtained by solving the two equations. Let's solve for x in the first equation. \(\[x = 2y-2z-5\]\)Then, substitute this value of x in the second equation and solve for y and z. \\([2y-2z-5 + 3y - 3z = 0\]\[5y - 5z = 5\]\[y - z = 1\]\)Let y = t. Then, z = t - 1 and x = 2t - 2(t-1) - 5. Simplifying, we get\(\[x = 4-2t\]\)Therefore, the parametric representation of the line is: \(\[\begin{aligned} x(t) &= 4 - 2t \\ y(t) &= t \\ z(t) &= t - 1 \end{aligned}\]\)The above information counts up to a total of 121 words.

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Answer:

arithmetic

Step-by-step explanation:

geometric sequences grow really fast in a short amount of time while arithmetic sequences have a steady growth over any period of time

Answer:

This is an arithmetic sequence and the common difference is equal to 2.

Answer:

a. after one hour the family travels 49 miles from their home

b. y = 49x

Step-by-step explanation:

Answer:

y = 1/2x - 3

Step-by-step explanation:

Slope: Up 1 over 2

Y-Int: -3

y=mx+b

Answer:

v=u+10t

u=4

t=3

v=4+10*3

v=4+30

v=43

The function c(t) = c(t) = c(t), left parenthesis, t, right parenthesis models the volume of the music (in dB) that Bulan hears t minutes after the ice cream truck arrives in her neighborhood. In this function, t is entered in radians.

The function c(t) represents how the volume of the music changes over time as t increases. The exact shape of the function depends on various factors like the distance between Bulan and the ice cream truck, the truck's speaker system, and any other interfering sounds in the neighborhood.

By analyzing the function c(t), one can determine the maximum and minimum volume levels Bulan experiences as the truck moves around her neighborhood. Additionally, the periodic nature of the function suggests that the music will repeat itself after a certain time interval.

In conclusion, the function c(t) = c(t) = c(t), left parenthesis, t, right parenthesis provides a mathematical representation of the volume of the music that Bulan hears as a function of time. This function helps us understand the changing volume levels and the periodicity of the ice cream truck's music in her neighborhood.

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Answer:

First, add totals to the table (see attachment)

Let S = Sourdough

Let C = With cheese

\(\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}\)

\(\implies \sf P(S)=\dfrac{1225}{3125}=\dfrac{49}{125}\)

\(\implies \sf P(C)=\dfrac{2000}{3125}=\dfrac{16}{25}\)

\(\implies \sf P(S \cap C)=\dfrac{800}{3125}=\dfrac{32}{125}\)

For independent events S and C,

\(\sf P(S \cap C)=P(S)P(C)\)

\(\sf\:As\quad P(S) \cdot P(C)=\dfrac{49}{125} \cdot \dfrac{16}{25}=\dfrac{784}{3125}\)

\(\sf And\quad \dfrac{32}{125} \neq \dfrac{784}{3125}\)

\(\sf Then \quad P(S \cap C)\neq P(S)P(C)\)

So the events are NOT independent

The percentage of his income he saved is 44.4%.

Percentage is a way of expressing a number as a fraction of 100. It is commonly used to represent a proportion or share of a whole, such as a percentage of a total amount, a percentage of a target or goal, a percentage of a population, etc.

In mathematical terms, a percentage can be represented as a decimal or a fraction, and is expressed as a symbol, such as "%".

If Ravindra's monthly income is rupee 90000 and saves rupee 40000 per month, then the percentage can be calculated as:

percentage = (40,000/90,000) x 100% = 44.4%

Hence, she saves 44.4% of his income per month.

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○ (ƒ − g)(x) = x² − 11x +4 is the correct Answer

Answer:

ƒ(x) = 4x² – 5

g(x) = 3x² + 6x − 4.

(ƒ – g)(x) = ƒ(x)–g(x)

= 4x² – 5 –(3x² + 6x − 4)

= 4x²–5x –3x²–6x+4

= 4x²–3x² –5x–6x +4

= x² − 11x +4

\( \)

Thank you

Answer:

maybe -2 -1 I hope this helps

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

??

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

The geometric mean is used to determine the average annual percent increase, as it accurately accounts for compounding growth over multiple periods. The correct option is E.

The measure of central tendency that is typically used to determine the average annual percent increase is the arithmetic mean. This measure takes the sum of all the values and divides it by the total number of values.

It is important to note that other measures, such as the geometric mean, can also be used in certain situations. But for most cases, the arithmetic mean is the go-to measure for determining the average annual percent increase.

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Answer:

Multiple answers would work

Step-by-step explanation:

From the subtraction sign before the 18x, we can infer that one of the equations has a negative number. So, know we have this:

(x-?) (x+?)

There are multiple answers this could be,

(x-18) (x)

(x-20) (x+2)

You get where I am going...

If you went with the first on (x-18) (x), then you wouldn't have to add anything.

(x-20) (x+2) = x^2 - 18X - 40.

To be honest this one stumped me. Some just have multiple answers. My guess is that you have to fill out the boxes so maybe the first answer wouldn't work.

Sorry I couldn't give a concise answer. Though their probably is one obivious answer that I am missing.

Answer:

I think its 16, 32, or 36.

Step-by-step explanation:

Because I set it up like 2/100 = x/18 and then do the math

Answer:

5 hours

Step-by-step explanation:

itd be five hours until both nick and rachel are at 55 flowers planted

Given:

Total number of hamburgers and cheeseburgers sold = 439

There were 61 fewer cheeseburgers than hamburgers sold.

Let's determine the number of hamburgers sold.

Let C represent the number of cheeseburgers

Let H represent the number of hamburgers sold.

We have the system of equations:

• H + C = 439

• C = H - 61

Now, let's solve the equations simultaneously using the substitution method.

Substitute (H - 61) for C in the first equation.

We have:

H + (H - 61) = 439

H + H - 61 = 439

2H - 61 = 439

Add 61 to both sides:

2H - 61 + 61 = 439 + 61

2H = 500

Divide both sides by 2:

Therefore, they sold 250 hamburgers on Friday.

ANSWER:

250 hamburgers

Answer: 90

Step-by-step explanation: 11,700 divided by 130 is 90 Therefore Mr. Brown started with 90 apple trees. Hope this helps :) sorry if I'm wrong

Answer:

x = 120 trees

Step-by-step explanation:

Since the trees he has left produces 130 apples each, and he ended up with 11 700 apples, it means he has left 11 700 / 130 = 90 trees.

Now, since he lost 30 trees in the fire, it means before he had 30 more trees => 90 + 30 = 120 trees

The equation for it:

( x - 30 ) * 130 = 11 700

x - 30 = 11 700 / 130

x = 90 + 30

x = 120

Answer:

36 different salads can be ordered

Step-by-step explanation:

The solution to the equation \((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\) is 10.3891

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

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2\)

Using the following trigonometry ratio

sin²(x) + cos²(x) = 1

We have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = (\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + 1 + e^2\)

The sum to infinity of a geometric series is

S = a/(1 - r)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = \frac{1/2}{1 - 1/2} + \frac{9/10}{1 - 1/10} + 1 + e^2\)

So, we have

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 1 + 1 + 1 + e^2\)

Evaluate the sum

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 3 + e^2\)

This gives

\((\sum\limits^{\infty}_{i=1} \frac{1}{2^i}) + (\sum\limits^{\infty}_{i=1} \frac{9}{10^i}) + \sin^2(\theta) + \cos^2(\theta) + e^2 = 10.3891\)

Hence, the solution to the equation is 10.3891

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The probability that a randomly selected quartz time piece from company XYZ will have a replacement time of less than 10 years can be determined using the normal distribution with a mean of 12.6 years and a standard deviation of 0.9 years.

To calculate the probability, we need to find the area under the normal distribution curve to the left of 10 years. First, we need to standardize the value of 10 years using the formula z = (x - μ) / σ, where x is the value (10 years), μ is the mean (12.6 years), and σ is the standard deviation (0.9 years). Substituting the values, we get z = (10 - 12.6) / 0.9 = -2.89.

Next, we look up the corresponding z-score in the standard normal distribution table or use statistical software. The table or software tells us that the area to the left of -2.89 is approximately 0.0019

. This represents the probability that a randomly selected quartz time piece will have a replacement time less than 10 years. Therefore, the probability is approximately 0.0019 or 0.19%.

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Step-by-step explanation:

125°/360°×π×15²

=245.44cm²

Step 1

The order of rotational symmetry of an equilateral triangle is 3. This means that if you rotate a triangle about its center by 120 degrees or a multiple of 120 degrees not above 360, it carries the equilateral triangle onto itself.

Step 2

The answers will therefore be

1) A 240-degree rotation about the center T carries the equilateral triangle onto itself.

2) A 360-degree rotation about the center T carries the equilateral triangle onto itself.

Hence the two students with true statements are student 2 and student 5

The original amount is 6200, which is obtained by dividing 837 by 0.135.

To find the original amount, we can use the formula for finding the percentage of a number

percentage = (part / whole) x 100%

where "part" is the given number (837 in this case), "percentage" is the given percentage (13.5%), and "whole" is the original amount we are trying to find.

Let's plug in the given values and solve for "whole"

13.5% = (837 / whole) x 100%

Divide both sides by 100% to get

0.135 = 837 / whole

Multiply both sides by "whole" to get

0.135 x whole = 837

Divide both sides by 0.135 to get

whole = 837 / 0.135

Simplifying, we get

whole = 6200

Therefore, the original amount is 6200.

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Answer:

∠A

∠EAU

∠UAE

Step-by-step explanation:

You can name an angle by their middle vertex letter which, in this case, is A.

You can also name an angle using the three letters provided: E, A, U.

However, the vertex letter should always be in the middle. So, it could be ∠EAU and ∠UAE.

Let me know if you don't understand or need more explanation.

After 5 months the total cost at each health club be the same.

Given that, club A offers membership for a fee of $40 plus a monthly fee of $25.

Let the number of months be x.

Membership fee of club A = 40+25x ------(i)

Club B offers a membership fee of $15 plus a monthly fee of $30.

Membership fee of club B = 15+30x

The total cost at each health club be the same

40+25x = 15+30x

30x-25x=40-15

5x=25

x=25/5

x=5

Therefore, after 5 months the total cost at each health club be the same.

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"Your question is incomplete, probably the complete question/missing part is:"

You are choosing between two health clubs. Club A offers membership for a fee of $40 plus a monthly fee of $25. Club B offers a membership fee of $15 plus a monthly fee of $30.

Using variables of your choice, set-up an equation for each club’s membership cost. Make sure your variables are defined clearly.

After how many months will the total cost at each health club be the same?

Answer:

A

Step-by-step explanation:

sub each value into x,the value is the minutes,that is, 1,2,3,....and so on to get the answer (gallons of water)