In a group of 35 pupils, 11 play the flute only. 8 play the piano only. 15 play neither instrument. A student is selected at random. What is the probability the student plays both instruments?

Answer:

Step-by-step explanation:

Answer:1:2

2:3

3;1

4;3

5;2

6:1

7:3

8;1

Step-by-step explanation:Like if correct

Answer:

$82

Step-by-step explanation:

make 25% into a decimal which equals .25, then do 328. x .25 which equals $82

The area of the reports center where you can find default reports displaying income and expenses in year-over-year comparisons, often using pie charts and bar graphs is the "Income Statement Comparison."

The Income Statement Comparison is one of the default reports found in the Reports Center area.

In this report, a year-over-year comparison of your income and expense is displayed.

This comparison is often presented in pie charts and bar graphs. It gives a clear view of the profit and loss over a year.

This report helps the business owner understand where their money is coming from and where it's going.

It provides an accurate and comprehensive overview of business revenue and expenses for the year.

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True. If v is an eigenvector corresponding to the eigenvalue λ, then multiplying v by a scalar c, denoted as cv, will also be an eigenvector corresponding to the same eigenvalue λ.

An eigenvector represents a direction in a vector space that remains unchanged, except for scaling, when multiplied by a specific matrix. The corresponding eigenvalue determines the magnitude of the scaling. When we multiply an eigenvector v by a scalar c, the direction of the vector remains the same, and the resulting vector cv is scaled by the same factor c.

Mathematically, if Av = λv, where A is a matrix, λ is an eigenvalue, and v is the corresponding eigenvector, then it follows that A(cv) = cAv = cλv = λ(cv). This equation shows that multiplying an eigenvector v by a scalar c preserves its status as an eigenvector, corresponding to the same eigenvalue λ.

In summary, if v is an eigenvector corresponding to λ, then multiplying it by a scalar c still results in an eigenvector corresponding to the same eigenvalue λ.

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Answer:

$180

Step-by-step explanation:

First, you have to calculate the amount that Olivia would have paid at the end of the loan which would be the result of multiplying her monthly payment for the number of payments:

Total payment= $308*(12*5)

Total payment= $308*60

Total payment= $18,480

Then, you have to calculate the amount that Garrett would have paid at the end of the loan:

Total payment= $311*(12*5)

Total payment= $311*60

Total payment= $18,660

Now, you have to calculate the difference in the amount Olivia and Garrett would have paid:

$18,660-$18,480= $180

According to this, an $18,000 loan will cost Garrett $180 more than Olivia.

The frequency of G when C (520 Hz) is raised by a fifth is 780 Hz.

The frequency of D when G is lowered by a fourth is 1040 Hz.

A. To find the frequency when C (520 Hz) is raised by a fifth to G, we can use the ratio of frequencies between the notes.

A fifth interval corresponds to a frequency ratio of 3:2.

So, we can calculate the frequency of G using the following equation:

Frequency of G = Frequency of C x (3/2)

Frequency of G = 520 Hz x (3/2) = 780 Hz

Therefore, the frequency of G when C (520 Hz) is raised by a fifth is 780 Hz.

B. To find the frequency when G is lowered by a fourth to D, we can use the ratio of frequencies between the notes.

A fourth interval corresponds to a frequency ratio of 4:3. So, we can calculate the frequency of D using the following equation:

Frequency of D = Frequency of G x (4/3)

Frequency of D = 780 Hz x (4/3) = 1040 Hz

Therefore, the frequency of D when G is lowered by a fourth is 1040 Hz.

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Answer:

about 76% (75.51) of the exhibits feature monkeys

Step-by-step explanation:

Answer:

angle KJG = angle FGJ (by alternateinteriorangle)

Using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

The characteristics of normal distributions are as follows: Bell-like in its symmetry.

The distribution's mean and median, which are both at its center, are equal.

68 percent of the data, or approximately, falls within one standard deviation of the mean.

So, the formula is used to determine the Z score for a data point x in a normal distribution:

Z = z - mean/standard deviation

Now, use the formula to calculate the z value as follows:

Z = z - mean/standard deviation

Z = 25 - 16/6

Z = 9/6

Z = 3/2

Z = 1.5

Therefore, using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

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Answer:

Step-by-step explanation:

Properties used in each step are as below-

2 (10 -13x) + 9x = -34x +60  

Step 1:  -Associative property

Step 2:  - Additive property of equality.

Step 3:  - Additive property of equality.

Step 4:  - Division property of equality

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Step-by-step explanation:

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Approximately 3.3 inches of rainfall per year.

If central Pennsylvania received only one-third of the usual rainfall in a really dry year, it would be receiving 1/3 * the usual amount of rainfall per year.

In an average year,

     Pennsylvania gets about the same amount of rainfall as a desert, which is typically defined as an area that receives less than 10 inches of precipitation per year.

Therefore, if central Pennsylvania received only one-third of the usual amount of rainfall in a really dry year, it would be receiving,

   1/3 * 10 inches = approximately 3.3 inches of rainfall per year.

This amount of rainfall is significantly less than the average rainfall in Pennsylvania and would qualify as a desert if it persisted over a long period of time.

Hence, Approximately 3.3 inches of rainfall per year.

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Answer:

length of string  ≈ 421  units (nearest whole number)

Step-by-step explanation:

Juliet is standing on the balcony 44 above the ground . The angle of depression is 6°. A string was held between Juliet and Romeo.

The illustration forms a right angle triangle. The hypotenuse of the triangle is the length of the string held by both star crossed lovers. The opposite side of the triangle is given as 44. Therefore,

using sin ratio

sin 6° = opposite/hypotenuse

sin 6° = 44/length of string

cross multiply

length of string sin 6° = 44

divide both sides by sin 6°

length of string = 44/sin 6°

length of string = 44/0.10452846326

length of string = 420.937978274

length of string  ≈ 421 units(nearest whole number)

Answer:

sinZ=opposite/hypotenuse

the opposite is 48,the hypotenuse is 50

therefore sinZ=48/50

simplified to 24/25

I hope this helps

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The value of the trigonometric ratio, Sin(∠Z) is 24/25.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

In ΔXYZ, for ∠Z, YZ is the base side, and XY is the perpendicular side. Therefore, the trigonometric ratio for ∠Z can be written as,

Sin(∠Z) = (XY)/(XZ)

Sin(∠Z) = 48/50

Sin(∠Z) = 24/25

Hence,  the value of the trigonometric ratio, Sin(∠Z) is 24/25.

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Answer:

Ratio of the first six months of the year to the year to the last six months of the year in simplest form = (153/200)

Step by step Explanation:

we are told to calculate the ratio of the first six months of the year but we know that the net income for the first six months of the years wa given as $76,500 also net income for the first six months of the years was given as $100,000

and we are told to calculate the ratio of the first six months of the year.

CHECK THE ATTACHMENT FOR DELTA LED EXPLANATION

Answer:

212.

Step-by-step explanation:

Given: 3m^2 + 2p^2 - 15

When m = 3 and p = 10

Substituting the values

= 3(3)^2 + 2(10)^2 - 15

By further calculation

= 3(9) + 2(100) - 15

So we get

= 27 + 200 - 15

= 212

Therefore, the value of the expression is 212.

There is sufficient evidence that the valve performs above the specifications.

Null Hypothesis (H0): The mean pressure of the valve is equal to 5.3 lbs/square inch

Alternative Hypothesis (H1): The mean pressure of the valve is greater than 5.3 lbs/square inch

To test whether the valve performs above the specifications, a hypothesis test can be used. The test statistic used will be a t-test since the sample size is below 30. The critical value at the 0.05 level is 1.645. The formula for the t-test is: t = (X-μ)/(s/√n) , where X is the sample mean, μ is the population mean, s is the sample standard deviation, and n is the sample size.

Plugging in the known values, the t-test is calculated as: t = (5.5-5.3)/(0.7/√100) = 2.571. Since this value is greater than the critical value at the 0.05 level (1.645), we can reject the null hypothesis and conclude that there is sufficient evidence that the valve performs above the specifications.

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as the question say, shw drove 32 miles in 4 hours, but for the unit rate you need to simplify it:

32/4=8

she drove 8 miles in 1 hour

so the answer is: option C

Answer:

just doubling the numerator just like ,1/9, 2/9 keep going

Step-by-step explanation:

Answer:

1/9 2/9 3/9 just keep going

Answer:

y = x -7

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - (-2) / 2 - 5

-3/-3

1

y = x + b

-2 = 5 + b

-7 = b

y = -7

y = x -7

Answer:2/3

Step-by-step explanation:

Answer:

-6x(-7)( negative and negative = positive)

Step-by-step explanation:

-6x4= -24

-6x(-7) = 42

-3x8= -24

6x(-4) = -24

Answer:

B) -6 x (-7) will have a positive product

Step-by-step explanation:

if the expression has an even amount of - signs, (ex. none or 2)

then the answer will be positive.

if the expression has an odd amount of - signs, (ex. 1 )

then the answer will be negative.

-6 * 4

one - sign, product is negative.

-6 *( -7)

two - signs, the product is positive

-3 * 8

one - sign, product is negative

6 * (-4)

one - sign, product is negative.

Answer:(7x - 34)

Step-by-step explanation:

Answer:

\(( - ) \times ( - ) = ( + )\)

Negative × Negative = positive

Example;

\( (- 1) \times (- 1 )=( + 1)\)

I hope I helped you^_^

Answer:

D. g(x) = -\(x^{2}\)-2

Step-by-step explanation:

The graph appears to have no stretch or shrink so the leading coefficient is either 1 or -1. We can find out that it is -1 because it is a reflection in the x-axis. The change in the y-axis is a shift downwards by -2 so you add that to the end of you equation to get g(x)=-\(x^{2}\)-2

The number of surveyed nurses that were health club members or were smokers is 227.

Let the total number of nurses be 800 nurses

n(U) = 800

Let H be health club members, n(H) = 564

Let S be smokers, n(S) = 430

If 325 of the health club members were smokers, then n(HnS) = 325 members.

The number of surveyed nurses that were health club members or were smokers = 800 - [( 564 - 430) + (564-325)].

The number of surveyed nurses that were health club members or were smokers = 600 - (134+239) = 600 - 373 = 227

The number of surveyed nurses that were health club members or were smokers is 227.

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The slope-intercept form of the equation of the line through the given point and parallel to the given line is y=x−14.

In the given question we have to write the slope-intercept form of the equation of the line through the given point and parallel to the given line.

The given points are (–2, –16).

The given equation of line is y = x – 5.

Standard equation of line is y=mx+c.

After comparing to the standard equation.

Slope m(1) = 1

The line passes through (−2,−16), so the point will satisfy the equation y=mx+c. So

−16=−2*1+c

Simlifying

−16=−2+c

Add 2 on both side, we get

c = −16+2

c = −14

As we know that if line is parallel then

m(1)=m(2)

So the value of solpe m = 1

Now the equation of line

y=1*x+(−14)

y=x−14

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The right answer is:

How do you write the slope-intercept form of the equation of the line through the given point and parallel to the given line?

Point (−2,−16), y = x – 5

Answer:

2

Step-by-step explanation:

y would be the first number in the equation on the left side of the equal sign. This looks lik the y=mx+b formula, so m, being slope, would be 7, -3 would be x, and b would be 4.

The measure of central tendency that is used by the professor is; Mode

A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within that set of data. The types of measures of central tendency are;

1) Mean; This is defined as the average value of a given set of data.

2) Median: This is defined as the midpoint of a frequency distribution of observed values or quantities, such that there is an equal probability of falling above or below it.

3) Mode: This refers to the value in a given set of data that has highest occurrence frequency.

In this case, the professor notes that most students in his class earned a grade of b. Thus, this is the mode.

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