At the beginning of the semester, a professor tells students that if they study for the tests, then there is a 55% chance they will get a B or higher on the tests. If they do not study, there is a 20% chance that they will get a B or higher on the tests. The professor knows from prior surveys that 60% of students study for the tests. The probabilities are displayed in the tree diagram.


A tree diagram. Random student studies for test is 0.6, and does not study for test is 0.4. Studies for test to Gets B or higher is 0.55; does not get B or higher is 0.45. Does not study for test to Gets B or higher is 0.20; does not get B or higher is 0.80.


The professor informs the class that there will be a test next week. What is the probability that a randomly selected student passes the test with a B or higher?


0.33

0.41

0.55

0.75

Answer:

1 1/2 inches longer

Step-by-step explanation:

3 2/5- 1 9/10=

3 4/10- 1 9/10=

2 14/10- 1 9/10= 1 5/10= 1 1/2

Answer:

Shonda has ( x )dollars in her piggy bank.

Rizzo has ( x-1.50 )

if Shonda has $9 more than x; (x+9),would be equal to

3 times the dollars Rizzo has, or, 3(x-1.50). The two quantities are equal, we can solve for x.

x+9 = 3(x-1.50)

Dustribute the 3

x+9 = 3x - 4.50

Isolate the variable on the left and constants on the right of the equation by subtracting 3x and 9 from both sides.

x+9 = 3x - 4.50

-3x-9 = -3x - 9

-2x = - 13.50

Divide both sides by - 2

Shonda has; x = 6.75

Rizzo has; (6.75 - 1.50) = 5.25

6.75 + 9 = 3(6.75 - 1.50)

15.75 = 3(5.25) or 15.75.

Passes the check.

Shonda has $6.75 in her piggy bank and Rizzo has $5.25.

The system A has no solution.

The system B has the solution y=( 3-x )/3

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

System A:

x+3y=9..........(1)

-x-3y=9 ..........(2)

(1) => x=9-3y........(3)

Substitute (3) into (2)

(2) = >  - ( 9-3y ) - 3y = 9

          -9 + 3y - 3y = 9

          -9 =9

This is false.

So, the system has no solution.

System B:

-x-3y=-3..........(1)

x+3y=3..........(2)

(2) => x=3-3y........(3)

Substitute (3) into (1)

-(3-3y)-3y=-3

-3+3y-3y= -3

-3=-3

This is true,

So, the solution is:

x=3-3y

=> 3y= 3-x

=> y=( 3-x )/3

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Answer: your answer would be A.

Answer:

The answer is 120

Step-by-step explanation:

Answer:

3 hermanos comieron 1/8 de pizza cada uno y al dia siguiente se repartieron lo que quedó por partes iguales sin que sobrara que fraccion de pizza le toco a cada uno?

Step-by-step explanation:

The difference between Tom and Alfie is  1 kg

Let's call the weight of Tom T, the weight of Harry H, the weight of Freddie F, and the weight of Alfie A. We are given that T = H + 5, H = F + 3, and F = A - 2.

Substituting the second and third equations into the first equation gives us:

T = (A - 2) + 3 + 5

T = A - 2 + 3 + 5

T = A + 1

So the difference between Tom and Alfie is T - A = A + 1 - A = 1 kg.

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Answer:

440ml divide 8hrs = 55mph

A degree 3 polynomial with real coefficients having zeros 2 and 3 - 2i and a lead coefficient of 1 is x³- 8x² + 25x-26.

Given that, a degree 3 polynomial with real coefficients having zeros 2 and 3 - 2i and a lead coefficient of 1.

Cubic polynomial is a type of polynomial based on the degree i.e. the highest exponent of the variable. Hence, a cubic polynomial is a polynomial with the highest power of the variable or degree is 3. A polynomial is an algebraic expression with variables and constants with exponents as whole numbers.

We have P(x) = (x-x1)(x-x2)(x-x3),

x1 =2, x2 =3-2i, since the complex zeros always appear in pares, and the pare is symmetric about x-axis, so the other complex zero is x3=3+2i, therefore we have:

P(x) = (x-2) (x-(3-2i)) (x-(3+2i))

= (x-2) (x-3+2i) (x-3-2i)

= (x-2) (x(x-3-2i)-3(x-3-2i)+2i(x-3-2i))

= (x-2) (x²-3x-2xi-3x+9+6i+2xi-6i-4i²)

= (x-2) (x²- 6x + 9 - 4 (-1))

= (x-2) (x²- 6x + 13)

= (x(x²- 6x + 13)-2(x²- 6x + 13))

= x³- 6x² + 13x-2x²+12x-26

= x³- 8x² + 25x-26

Therefore, a degree 3 polynomial with real coefficients having zeros 2 and 3 - 2i and a lead coefficient of 1 is x³- 8x² + 25x-26.

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The number of words that Toni can type in 3 minutes is 270 words per minute.

We are given 180 words in 2 minutes. This means;

Toni can type 180/2 = 90 words per minute (90wpm).

Using the above same ratio/rate, it means that in 3 minutes, Toni would be able to type:

90 * 3 = 270 words per minute.

Thus, we conclude that the number of words that Toni can type in 3 minutes is 270 words per minute.

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(a) √2 · √8. The simplified surd expression is 4.

(b) √80. The simplified surd expression is  4√5.

(c) √5/√20. The simplified surd expression is  1/2.

(d) √20. The simplified surd expression is  2√5.

The given surd expression is simplified as follows;

(a) √2 · √8

we can simplify it as;

√2 · √8 = √(2 x 8) = √16 = 4

(b) √80

we can simplify it as;

√80 = √ (16 x 5) = √16  x √5 = 4√5

(c) √5/√20

we can simplify it as;

√5/√20  x  √20 / √20

= (√5  x √20 ) /(20)

= √100 / 20

= 10/20

= 1/2

(d) √20

we can simplify it as;

√20 = √4  x √5 = 2√5

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Answer:

The angle of elevation for this example is  θ  =  30.96 o

Step-by-step explanation:

For this situation we will use the Tangent function of

tan  θ  =  o p p/ a d j

tan θ  =  30 50  

tan − 1 ( .60 ) = θ

0 =   30.96 o  

Answer:

Step-by-step explanation:

ito answer: Combine 130 and x2.C=x230−2x+1530

Answer:

y = 2 x^2 + 5

Step-by-step explanation:

y = 2x^2 + 5

y = 2(-2)^2 + 5

y= 2(4) + 5

y = 8 + 5

y = 13

you can try for yourself using the other values

Answer:

first is closes to the 40 second is closer to 10th

Step-by-step explanation:

your rounding to the nearest tenth

The speed of the train is 150 km/hour.

The distance covered by the train in 3 4/5 hours is 570 km.

The speed of a body is calculated using the formula, speed = distance/time.

The distance covered is calculated using the formula, distance = speed*time.

The time taken by a body is calculated using the formula, time = distance/speed.

In the question, we are asked for the speed of a train, when it covers a distance of 225 km in 1 1/2 hours.

Distance = 225 km.

Time = 1 1/2 hours = 1.5 hours.

Speed = Distance/Time = 225/1.5 km/hour = 150 km/hour.

Now, we are asked to calculate the distance covered by the train in 3 4/5 hours.

Speed = 150 km/hour.

Time = 3 4/5 hours = 3.8 hours.

Distance = Speed*Time = 150*3.8 km = 570 km.

Thus, the speed of the train is 150 km/hour.

The distance covered by the train in 3 4/5 hours is 570 km.

The provided question is incorrect. The correct question is:

"A train at a uniform speed covers a distance of 225 km in 1 1/2 hours. Find the speed of the train and the distance covered in 3 4/5 hours.

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Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

10 ÷ 8 = 1.25

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

(1,0)

brainlist please

Answer:

Step-by-step explanation:

Diane will spend less than $27 on gifts, and she has already spent $16. Therefore, the maximum amount she can spend on additional gifts is:

$27 - $16 = $11

Let c be the additional amount (in dollars) Diane will spend. Then, we can write the inequality:

c < $11

This means that the additional amount Diane spends (c) must be less than $11 in order for her total spending on gifts to be less than $27.

Answer:

the antelope is 5280 feet the cougar is 4224 feet the hare is 4136 feet the kangaroo is 3520 feet and the coyote is 3773 feet the ostrich is 3773 feet hope this helps the answer is the antelope

Answer:

-7

Step-by-step explanation:

The transformation of f(x) to p(x) is that (a) the graph is reflected and shifted down

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

The functions f(x) and g(x)

In the function equations, we can see that

f(x) = x²

p(x) = -f(x) - 3

So, we have

Vertical Difference = 0 - 3

Evaluate

Vertical Difference = - 3

This means that the transformation of f(x) to p(x) is that f(x) is reflected and shifted down 3 units to p(x).

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Answer:

27

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

i solved the problem step by step

you are going to keep the 1/9 flip the division to multiplication and then reciept the 3/1 to 1/3.

From there you are going to multiply 1/9 and 1/3 and you get 1/27.

then you reduce which is 27.

Answer:

To calculate Karl Pearson's coefficient of skewness, we need to use the formula:

Skewness = 3 * (Mean - Mode) / Standard Deviation

Given the Mean = 73.19, Mode = 79.56, and Variance = 16, we need to find the Standard Deviation first.

Standard Deviation = √Variance = √16 = 4

Now we can substitute the values into the formula:

Skewness = 3 * (73.19 - 79.56) / 4

Skewness = -6.37 / 4

Skewness = -1.5925

Rounded to four decimal places, the Karl Pearson's coefficient of skewness for the given values is approximately -1.5925.

To show that if h is a subgroup of a finite abelian group g, then g has a subgroup that is isomorphic to g/h, we can use the fact that the quotient group g/h is defined as the set of co sets of h in g, with the operation of group multiplication defined as (aH) (bH) = (ab)H for all a, b in g.

To prove that g has a subgroup isomorphic to g/h, we can define a function f: g/h -> g that maps each coset aH in g/h to an element a in g. This function is a homomorphism because for all a, b in g, we have:f(aH) * f(bH) = a * b = ab = f((ab)H) = f((aH)(bH)) Therefore, the function f is a homomorphism from g/h to g, and the image of f, which is the set of elements {a in g | a = f(aH) for some aH in g/h}, is a subgroup of g that is isomorphic to g/h.

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