In a class of 18 students, 5 have a brother and 11 have a sister. There are 5 students who do not have any siblings. What is the probability that a student has a sister given that they do not have a brother?

Answer:

The length of the unknown leg is 5.66 yards

Step-by-step explanation:

\(Hypotenuse^2=opposite^2-adjacent^2\)

\(Hyp^2=opp^2+adj^2\)

\(Hyp=\sqrt{42.8}\) \(yards\)

\(Opp=\sqrt{11}\) \(yards\)

\(Adj=?\)

\(Adj^2=Hyp^2-opp^2\)

\(=(\sqrt{42.8} )^2-(\sqrt{11} )^2\)

\(=42.8-11\)

\(=31.8\) → \(32\)

\(Adj^2=32\)

\(Adj=\sqrt{32}\)

= 5.66 yards

Answer:

3x=10+13x

We simplify the equation to the form, which is simple to understand  

3x=10+13x

We move all terms containing x to the left and all other terms to the right.  

+3x-13x=+10

We simplify left and right side of the equation.  

-10x=+10

We divide both sides of the equation by -10 to get x.  

x=-1                     

A student′s grade on an examination was transformed to a z value of 0.67. Therefore, the student scored approximately in the top 26% of the class. This indicates that the correct answer is d. 25 percent.

In this scenario, the student's grade on an examination has been transformed into a z value of 0.67. To determine the approximate percentile rank of the student's score, we can refer to the standard normal distribution table.

The z value represents the number of standard deviations the student's score is away from the mean. A z value of 0.67 corresponds to a percentile rank of approximately 74%. Therefore, the student scored approximately in the top 26% of the class. This indicates that the correct answer is d. 25 percent.

To elaborate, a z value represents the number of standard deviations a data point is above or below the mean in a normal distribution. By converting the student's grade to a z value, we can compare it to the standard normal distribution table to determine the corresponding percentile rank. A z value of 0.67 corresponds to a percentile rank of approximately 74%.

This means that approximately 74% of the students in the class scored below the student in question. Since we are interested in the top percentile, we subtract the percentile rank from 100% to get the approximate percentage of students who scored lower. Therefore, the student scored approximately in the top 26% of the class, indicating that the correct answer is d. 25 percent.

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The statistic that indicates how much scores differ from each other is Standard deviation.

Standard deviation is the measure of dispersed the data is in relation to the mean. Low standard deviation means data are clustered around the mean, and high standard deviation indicates data are more spread out.

To calculate the standard deviation, you must first calculate the mean of the data set. This is done by adding up all the values in the data set and dividing by the number of values. Once you have the mean, you must subtract it from each value in the data set and square the result.

Then, you must add up all of the squared values, divide by the total number of values, and take the square root of that number. The result is the standard deviation.

Standard deviation is important because it can be used to compare the data to its mean and can help determine the amount of risk associated with a particular data set. Standard deviation is a measure of how spread out a data set is from its mean or average. It is used to measure the amount of variability or dispersion for a given data set.

Thus, The statistic that indicates how much scores differ from each other is Standard deviation.

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Answer: C

Step-by-step explanation:

The standard deviation measures the amount of variation or dispersion of a set of scores from the mean. Therefore, the correct answer is C.

Distribute -5 to all terms inside the parenthesis.

-5(4x - 3y - 1)
-5(4x) + -5(-3y) + -5(-1)
-20x + -5(-3y) + -5(-1)
-20x + 15y + -5(-1)
-20x + 15y + 5

Answer:

0.4231 or 42.31%

Step-by-step explanation:

In a standard 52 card deck there are 13 spade cards (52/4) and there are 12 face cards (4 suits x 3 face cards). Moreover, 3 cards are both face and spade cards.

Therefore, the probability that the card Bashir chooses is either a face card or a spade is given by:

\(P(F\ or\ S)=P(F)+P(S)-P(F\ and\ S)\\P(F\ or\ S)=\frac{13}{52} +\frac{12}{52} -\frac{3}{52}\\P(F\ or\ S)=0.4231\)

The probability is 0.4231 or 42.31%

Answer:

got it on kahn trust

Step-by-step explanation:

Ingrid needs to deposit approximately $558.95 at the end of each quarter to have enough money to buy the $17,000 car in 6 years.

To calculate the amount Ingrid needs to deposit at the end of each quarter, we can use the future value of an annuity formula. The future value (FV) of an annuity is given by the formula:

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

Where:

P is the periodic deposit

r is the annual interest rate (as a decimal)

n is the number of compounding periods per year

t is the number of years

In this case, Ingrid wants to accumulate $17,000 in 6 years, with a quarterly compounding rate of 5.5% (0.055) and 4 compounding periods per year. Plugging these values into the formula:

17,000 = P * ((1 + 0.055/4)²⁴ - 1) / (0.055/4)

By solving this equation, we find that Ingrid needs to deposit approximately $558.95 at the end of each quarter to accumulate enough money to pay for her car.

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Answer: 8575/2

Step-by-step explanation:

a) The mean can be calculated by adding all values and then divide by the total number of values:

b) The median is the middle value in the list of numbers, then you have to order the numbers as follows: 0, 0, 1, 3, 6.

c) The mode is the value that occurs most often, as you have a 0 value twice, then

d) To calculate the sample variance you can use this formula

The sample standard deviation is the square root of sample variance, then

Answer:

Step-by-step explanation:

Divide the diameter by 2 to find the radius, which is 6.

Now, use he area of the circle formula, which is A = pi r^2

6 squared is 36, so its 36pi

36* 3.14 = 113.04 feet squared.

Answer: 75 hours

Step-by-step explanation:

Assuming you meant decreasing... you find out the span between 212.5 and 25 which is 187.5 and then divide it by 2.5 (which is the change)

Answer:

17 and 19

Step-by-step explanation:

Let

The first off number = x

Second odd number = x + 2

The difference of the squares of two consecutive odd integers is 72

(x+2)^2 - (x)^2 = 72

x^2 + 4x + 4 - x^2 = 72

4x + 4 = 72

4x + 4 - 4 = 72 - 4

4x = 68

Divide both sides by 4

x = 68/4

= 17

x = 17

The first off number = x = 17

Second odd number = x + 2

= 17 + 2

= 19

a) A technological advance in the methods of producing tires will likely increase the supply of auto tires.

b) A decline in the number of firms in the tire industry will likely decrease the supply of auto tires.

c) An increase in the price of rubber used in the production of tires will likely decrease the supply of auto tires.

d) The expectation that the equilibrium price of auto tires will be lower in the future than currently can also decrease the supply of auto tires.

The effect of each of the following on the supply of auto tires is as follows:

a. A technological advance in the methods of producing tires will likely increase the supply of auto tires, as production becomes more efficient and cost-effective, allowing firms to produce more tires at the same or lower cost.

b. A decline in the number of firms in the tire industry will likely decrease the supply of auto tires, as there will be fewer producers in the market to produce tires. This can lead to less competition and potentially higher prices.

c. An increase in the price of rubber used in the production of tires will likely decrease the supply of auto tires, as the cost of production increases.

Firms may produce fewer tires due to higher production costs, leading to a reduced supply in the market.

d. The expectation that the equilibrium price of auto tires will be lower in the future than currently can also decrease the supply of auto tires.

Firms may choose to reduce production in anticipation of lower prices, in order to avoid potential losses from holding onto excess inventory.

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Answer:81.85 km/hr is the average speed

Step-by-step explanation:

Answer: ≈ 84,3 km/h.

Step-by-step explanation:

\(\displaystyle\\V{average}=\frac{\Delta S}{\Delta t}=\frac{S_1+S_2+S_3}{t_1+t_1+t_3} .\\1.\ S_1=50\ km\\ t_1=\frac{S_1}{V_1}\\ V_1=25*\frac{3600}{1000} \\V_1=90\ \frac{km}{h} .\\t_1=\frac{50}{90}\\ t_1=\frac{5}{9} \ h.\\2.\ S_2=120\ km\ \ \ \ V_2=80\ \frac{km}{h} \\t_2=\frac{S_2}{V_2} \\t_2=\frac{120}{80} \\t_2=\frac{3}{2}\ h.\\\)

\(3.\ V_3=90\ \frac{km}{h} \\t_3=35\ minutes\\t_3=\frac{35}{60} \\t_3=\frac{7}{12}\ h.\\ S_3=V_3*t_3\\S_3=90*\frac{7}{12} \\S_3=52,5\ km.\\Hence,\\V{average}=\frac{50+120+52,5}{\frac{5}{9}+\frac{3}{2} +\frac{7}{12} } \\V{average}=\frac{222,5}{\frac{95}{36} } \\Vaverege\approx84,3\ \frac{km}{h} .\)

Answer:

The area of a circle with diameter 22 is 380.1.

Step-by-step explanation: if this is wrong or incorrect please let me know and sorry if this is wrong

Answer: 380.13yd²

Step-by-step explanation: A=πr2

d=2r

Solving for A

A=1

4πd2=1

4·π·222≈380.13271yd²

Answer:

B).150ft

Explanation:

The distance from homeplate to 1st Base = 90 feet

Therefore: distance from homeplate to point P is:

The distance from homeplate to 3rd base is 90 feet.

We see that the problem forms a right-triangle where the distance from point P to 3rd Base is the Hypotenuse.

Using Pythagoras Theorem:

The player threw the ball a distance of 150 feet.

(11x+3)4

it will be 44x +12

Answer:

16,384

Step-by-step explanation:

Answer:

244

Step-by-step explanation:

\(544 - 300 = \\ 244\)

Answer:

addition or multiplication?

Step-by-step explanation:

Answer:

6x + 45 > 240

Step-by-step explanation:

I will give in a min. You need it urgently right. So you can have the answer for now!!!

By simplifying \(\sqrt{75a^{8}b^{5} }\), we get 5\(a^{4} b^{2}\)\(\sqrt{3b}\).

What is square root?

A number can be obtained by multiplying the square root of that integer by itself. The word "square root" is represented by the symbol "sqrt"—square root of, end square root. The opposite of squaring an integer is finding its square root.

How to find square root?

\(\sqrt{75a^{8}b^{5} } =\sqrt{25*3*a^{4}*a^{4}* b^{2} *b^{2}*b }\)

             =\(\sqrt{5*5*3*a^{2}*a^{2}*a^{2}*a^{2}*b^{2}*b^{2}*b }\)

             =5×a×a×a×a×b×b\(\sqrt{3*b}\)

             =5\(a^{4}b^{2}\)\(\sqrt{3b}\)

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Answer:

i think its -8

Step-by-step explanation:

Answer:

x = 4, x = -4

Step-by-step explanation:

Answer:

-12 + 9p

Step-by-step explanation:

Original Equation:

-12 - 5p + 2(6p + p)

Distributive property.

2 x 6p = 12p

2 x p = 2p

Equation:

-12 - 5p + 12p + 2p

Subtract 5p from 12p

-12 + 7p + 2p

Add.

-12 + 9p

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Given :

The local approximation to the function g at x = 1/2 is y = 4x+1.

To Find :

The value of g(1/2) + g'(1/2).

Solution :

It is given that at  g( y ) = 3x + 1 , at  x = 1/2.

Differentiating g( y ) w.r.t x ,we get :

g( y )' =  3

So, g( y ) + g( y' )  = 3/2 + 1 + 3

g( y ) + g( y' ) = 11/2

Hence, this is the required solution.

Answer:

16

Step-by-step explanation:

16+4x = 10 +14

-16             -16

4x = 8

/4      /4

x=2

8x=8(2)

=16

Let's start by substituting the right-hand side of the equation into the left-hand side:

What does the math equation mean?

Two expressions are combined by the equal sign to form a mathematical statement known as an equation. For instance, a formula might be 3x - 5 = 16. After solving this equation, we learn that the value of the variable x is 7.

4y - 3 = 4(y + 1)

4y - 3 = 4y + 4

Now, we can isolate y by subtracting 4y from both sides:

0 = y + 4

-4 = y

So, there is a solution to the equation: y = -4. This means that Dawson is incorrect in saying that the equation has no solution.

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Answer:

Step-by-step explanation:

7/15 = .4666 = 46.66%

Answer:

1/2 × |AB| × |OE|

Step-by-step explanation:

use the formula for finding the area of a triangle.