At a certain high school, 35 students play only stringed instruments, 10 students play only brass instruments, and 5 students play both. There are also 5 students who play neither stringed nor brass instruments. what is the probability that a randomly selected student plays both a string and a brass instrument?

Therefore, the simplest form of the radical expression is (-7 + 2sqrt(10)).

To simplify the expression, we can use the conjugate of the denominator to rationalize the denominator:

(sqrt(2) + sqrt(5)) / (sqrt(2) - sqrt(5)) * (sqrt(2) + sqrt(5)) / (sqrt(2) + sqrt(5))

= (2 + 2sqrt(10) + 5) / (2 - 5)

= (-7 + 2sqrt(10))

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Deone's length was 19.5 inches at birth. Assuming his development proceeds normally, his length should be about 29.5 inches by his first birthday.

We know that According to the Centers for Disease Control and Prevention (CDC), the average length for a boy at birth is around 20 inches, and the average length for a boy at one year of age is around 30 inches.

To estimate Deone's length at one year of age, we use the average growth rate between birth and one year, which is approximately 10 inches.

So , we add 10 inches to Deone's length at birth of 19.5 inches to estimate his length at one year of age:

⇒ Estimated length at 1 year = 19.5 inches + 10 inches = 29.5 inches

Therefore, Deone's length should be about 29.5 inches by his first birthday, assuming that his development proceeds normally.

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since its an isosceles triangle, which is divided at the centre,

the remaining length of the given right angle triangle is 5

using pythagoras theorem to find x

x^2 = 8^2 - 5^2

x^2 = 64 - 25

x^2 = 39

x = square root of 39

x = 6.25

therfore the answer is:

A. 6.25

Answer: Since Ray and Alice are headed towards each other, the distance between them will be decreasing at a rate equal to the sum of their speeds. We can use the formula:

time = distance / speed

Let's call the time it takes for Ray and Alice to meet "t". We know that the distance between them is 558 miles, and the sum of their speeds is:

30 mph + 32 mph = 62 mph

So, using the formula above, we can solve for "t":

t = 558 miles / 62 mph

t = 9 hours

Therefore, it will take 9 hours for Ray and Alice to meet if they both keep heading toward Dallas at their respective speeds.

Step-by-step explanation:

The pharmacy's net profit is $7.05. So, the correct option is option D. $7.05.

To calculate the pharmacy's net profit, we will use the following terms: retail price ($29.99), wholesale cost ($19.74), and dispensing cost ($3.20).

Step 1: Find the gross profit by subtracting the wholesale cost from the retail price.
Gross Profit = Retail Price - Wholesale Cost
Gross Profit = $29.99 - $19.74
Gross Profit = $10.25

Step 2: Subtract the dispensing cost from the gross profit to find the net profit.
Net Profit = Gross Profit - Dispensing Cost
Net Profit = $10.25 - $3.20
Net Profit = $7.05

So, the pharmacy's net profit is $7.05.

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If two lines are parallel, then they have the same slope.

If two lines are perpendicular, then the slope of one line is the negative reciprocal of the other line.

The equation of a given line is expressed as

y = mx + b

Where

m represents slope

c represents y intercept

Considering the first equa

The equation of the parabola graphed is given as follows:

y = a(x + 1)² - 4.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient.

Considering the vertex given, we have that h = -1, k = -4, hence the equation is:

y = a(x + 1)² - 4

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Step-by-step explanation:

step 1. let cows = c and chickens = h

step 2. c + h = 40

step 3. 4c + 2h = 100 (cows have 4 legs and chickens have 2)

step 4. solve the system. multiply step 2 by 2 and subtract from step 3

step 5. 2c = 20 or c = 10 (10 cows)

step 6. h = 30 (30 chickens)

Answer: x = -9 , y = -13

Step-by-step explanation:

Multiply the second equation by 5, then add the equations together.

(−5x+3y=6)

5(x−y=4)

Becomes:

−5x+3y=6

5x−5y=20

Add these equations to eliminate x:

−2y=26

Then solve −2y=26 for y:

−2y = 26

Divide both sides by -2

y= -13

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

−5x+3y=6

Substitute−13 for y in −5x+3y=6:

−5x+(3)(−13)=6

−5x−39=6 (Simplify both sides of the equation)

−5x−39+39=6+39 (Add 39 to both sides)

−5x=45

Divide both sides by -5

x = -9

hope it help

you can proof it in the first equation if you want

When testing partial correlation, the impact of a third variable is removed.

Partial correlation is a statistical technique used to assess the relationship between two variables while controlling for the influence of one or more additional variables, known as the third variable(s) or covariate(s). The aim of partial correlation is to determine the strength and direction of the association between two variables after accounting for the potential confounding effect of other variables.

By controlling for the influence of third variable(s), partial correlation allows researchers to isolate the unique relationship between the two variables of interest, while holding constant the effects of other variables that may be correlated with both the variables being studied. This helps to assess the direct association between the two variables of interest, beyond the potential influence of other variables.

Partial correlation is commonly used in research and statistics when the relationship between two variables of interest may be confounded by the presence of other variables that could affect the results. It is a valuable tool for examining the specific association between two variables while accounting for the potential influence of other factors, thereby providing a more accurate and nuanced understanding of the relationship between those variables.

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Answer:

m=6

Step-by-step explanation:

4(m+3) = 36

4m + 12 = 36

4m + (12 -12) = (36 -12)

4m = 24

4m/4 = 24/4

m = 6

Answer:

x = 27

Step-by-step explanation:

11x - 45 = 36 + 8x

Subtract 8x from both sides.

3x - 45 = 36

Add 45 to both sides.

3x = 81

Divide both sides by 3.

x = 27

Part a) during the five discounted months, Paul will pay: $60

Part b) We arrived at this answer by first simplifying the equation that Paul wrote to find the regular monthly rate.

Part a: Paul will pay a total of $60 during the five discounted months of his plan.

To arrive at this answer, we need to first simplify the equation that Paul wrote: 5x + 7(x + 8.50) = 245.50 5x + 7x + 59.50 = 245.50 12x = 186 x = 15.50

This tells us that the regular monthly rate for Paul's plan is $15.50.

During the first five months, Paul receives a discount, but we don't know exactly how much. Let's call the discount amount "d".

Then, Paul's cost for the first five months would be: 5(15.50 - d) We also know that after the discount period, Paul's rate increases by $8.50 per month.

So for the remaining 7 months of the year, his cost per month would be: 15.50 + 8.50 = 24

Therefore, his cost for the remaining 7 months would be: 7(24) = 168

To find the total cost for the year, we add up the cost of the discounted months and the cost of the non-discounted months: 5(15.50 - d) + 168 = 245.50

Simplifying this equation: 77.50 - 5d + 168 = 245.50 -5d = -0.5 d = 0.1

So the discount amount is $0.10 per month.

Therefore, during the five discounted months, Paul will pay: 5(15.50 - 0.10) = $60

Part b: We used that information along with the fact that Paul's rate increases after the discount period to set up an equation for his total cost.

Solving for the discount amount, we were able to determine that Paul's discount was $0.10 per month. Finally, we used that information to calculate his cost during the discounted months.

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Answer:

5'1

Step-by-step explanation:

Every 12 inches is a foot. 12 x 5 is 60. Plus 1. Is 61.

That mean's it's 5 feet 1 inch.

Answer:

5 feet 1 inch

Step-by-step explanation:

because 12 inches is equal to 1 foot and 12 times 5 is 60 so that 5 feet plus one inch is 5 foot 1 inch

The steps to construct the bisector of angle A are- draw an arc across both rays of the angle. From each arc, draw another pair of arcs that intersect each other. Draw a line to the intersection point to form the angle bisector.

Detailed steps to construct the bisector of angle A using compass are:

1. Give name to  the intersection of the arcs in the interior of the angle as point M.

2. Without changing the width of the compass, place the point of the compass at point O and draw another arc in the interior of the angle.

3. Place the point of the compass on point N and again draw an arc in the interior of the angle.

4. Use the straight ruler to draw a line.

5. Place the point of the compass at point A and draw an arc that intersects the sides of ∠A. Label the points of intersection as points N and O.

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Answer:

La suma de los tres ángulos interiores de un triángulo es 180°. Uno de los ángulos mide 90° porque es un triángulo rectángulo.

Answer:

La suma de los ángulos interiores de un triángulo es 180°.

Answer:

1. the, from, although, won't he, ourselves

2. The father said to his son that he was happy with him. My laptop has been stolen by somebody. He wants to die in the village where he was born.

3. was, worked

Step-by-step explanation:

Hope this helps!

Answer:

d. May result in the TSLS being inconsistent in large samples

Step-by-step explanation:

Two-stage least squares (TSLS), regression analysis is a statistical technique that is used for two distinct stages of variables regression, so, when there are more relevant instruments than required, is like having a larger sample size in that the more information is available for use in the Instrumental Variables regression (IV).

The equivalent of the expression -2w-9+5w+3 is 3(w-2)

Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value(s) for the variable(s). Examples is 2x+ 6y is equivalent to 2(x+3y)

The expression -2w-9+5w+3 can be factorized;

collect like terms

-2w-9+5w+3 = -2w+5w-9+3

= 3w-6

= 3( w-2)

therefore the equivalent of the expression -2w-9+5w+3 is 3(w-2)

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Answer:

  D) the point where the graph crosses the y-axis

Step-by-step explanation:

The "initial" value of a function is generally taken to mean the function value when the independent variable is zero.

On a graph of the profit function, that will be the y-intercept: the point where the graph crosses the y-axis.

__

The highest point on the graph will be the maximum profit.

The points where the graph crosses the x-axis will be where profit is zero, referred to as "break-even" points.

The lowest point on the graph will be where the profit is a minimum. That point may actually indicate a loss (negative profit).

Answer:

length = 14 metres, width = 12 metres

Step-by-step explanation:

let x be length

length = x

width = x-2

perimeter of parallelogram = 52

length + length + width + width = 52

x+x+x-2+x-2=52

4x-4=52

4x=56

x=14

length = 14 metres

width = 14 - 2 = 12 metres

Answer:

P=2(l+w)

or, 52=2(l+l-2)

or, 52=4l-4

or, 56 =4l

therefore length=14m

therefore breadth=l-2=12m

Answer:  

3300

Step-by-step explanation:

A) We round the number up to the nearest hundred if the last two digits in the number are 50 or above.

B) We round the number down to the nearest hundred if the last two digits in the number are 49 or below.

C) If the last two digits are 00, then we do not have to do any rounding, because it is already to the hundred.

In this case, Rule A applies and 3291 rounded to the nearest hundred is:

3300

Answer:

3,300

Step-by-step explanation:

Because rounding to the nearest 100 means hundred.

But so the rule is 5 or more raise the score 4 or less let it rest so the 2 is asking the 9 if he can get bumped up.

since the 9 is 5 or more it can raise the score so the 2 goes up to?

3 since 3 is the number right above 2

so your answer is 3,300 Hope this helps have a great day:)

Answer: 24 is 96% of 25.

Step-by-step explanation: You can apply the rule of three in order to answer this question. If 24 represents 96%, you can put this as 24/96. Then, use x as the value that represents 100%, you can put it as x/100. Order the data in a way you can cross multiply them; 24/96 = x/100. The answer is x = 25.

Answer:

brainliest please

Step-by-step explanation:

6 dogs because 1/2 cup per dog 6 divided by 3 = 1/2 or 2

so2 dogs per cup

You can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

To calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation with 10% interest compounded monthly, we can break down the problem into two parts:

Calculate the accumulated balance after 15 years of regular deposits:

We can use the formula for the future value of a regular deposit:

FV = P * ((1 + r/n)^(nt) - 1) / (r/n)

where:

FV is the future value (accumulated balance)

P is the regular deposit amount

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

P = $125.00 (regular deposit amount)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 15 (number of years)

Plugging the values into the formula:

FV = $125 * ((1 + 0.10/12)^(12*15) - 1) / (0.10/12)

Calculating the expression on the right-hand side gives us the accumulated balance after 15 years of regular deposits.

Calculate the balance after an additional 5 years of accumulation:

To calculate the balance after 5 years of accumulation with monthly compounding, we can use the compound interest formula:

FV = P * (1 + r/n)^(nt)

where:

FV is the future value (balance after accumulation)

P is the initial principal (accumulated balance after 15 years)

r is the interest rate per period (10% per annum in this case)

n is the number of compounding periods per year (12 for monthly compounding)

t is the number of years

Given the accumulated balance after 15 years from the previous calculation, we can plug in the values:

P = (accumulated balance after 15 years)

r = 10% = 0.10 (interest rate per period)

n = 12 (number of compounding periods per year)

t = 5 (number of years)

Plugging the values into the formula, we can calculate the balance after an additional 5 years of accumulation.

By following these steps, you can calculate the balance in Connor's account after 15 years of regular deposits and an additional 5 years of accumulation.

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Correct option is option D. No, because the points do not appear to have a straight line pattern.

We can find the linear correlation coefficient (also known as Pearson's correlation coefficient).

x⇒ 4, 7, 1, 2, 6

y⇒ 8, 12, 3, 5, 11

Calculate the correlation coefficient as using the formula.

\(r = \frac{\sum(x - \bar{x})(y - \bar{y})}{\sqrt{\sum(x - \bar{x})^2 \sum(y - \bar{y})^2}}\)

Σ ⇒ sum,

\(\bar{x}\) ⇒ mean of x

\(\bar{y}\) ⇒ mean of y.

Calculating the means:

\(\bar{x}=\) \((4 + 7 + 1 + 2 + 6) / 5 = 4\)

\(\bar{y}=\) \((8 + 12 + 3 + 5 + 11) / 5 = 7.8\)

Calculating the sums:

\(\sum(x - \bar{x})(y - \bar{y})=(4 - 4)(8 - 7.8) + (7 - 4)(12 - 7.8) + (1 - 4)(3 - 7.8) + (2 - 4)(5 - 7.8) + (6 - 4)(11 - 7.8) = -1.8\)

\(\sum(x - \bar{x})^2=(4 - 4)^2 + (7 - 4)^2 + (1 - 4)^2 + (2 - 4)^2 + (6 - 4)^2 = 20\)

\(\sum (y - \bar{y})^2= (8 - 7.8)^2 + (12 - 7.8)^2 + (3 - 7.8)^2 + (5 - 7.8)^2 + (11 - 7.8)^2 = 43.6\)

Substituting values into the correlation coefficient formula.

r = (-1.8) / √(20 × 43.6) ≈ -0.453

The correlation coefficient (r) is approximately -0.453.

These points are do not follow a clear straight line pattern.

We observed calculated correlation coefficient. We observed the scatterplot observation. We can say there is a weak negative linear correlation between the two variables.

So answer is D.

D. No, because the points do not appear to have a straight line pattern.

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Answer:

20

Step-by-step explanation:

this is divided into 4 pieces and only 3/4 of them are wins. If it is 15 games that are won we have to divide 3 and 15 which is  5 so you just add 5 to 15. Ps im sorry if u didnt understand to well im not the best at explaining.

Answer:

20

Step-by-step explanation: