A game show contestant has answered 37 out of 44 trivia questions correctly so far. Solve the
90
equation
100
-
37 + 1 to find the number of consecutive questions the contestant needs to answer correctly to
44 + y
raise the correct answer percentage to 90%

1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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100 mph going there, 50 coming back

Answer:

C

Step-by-step explanation:

A - Incorrect because it is bigger than -0.5

B - Incorrect because it is bigger than -0.5

D - Incorrect because it is bigger than -0.5

C- Correct!

Answer:

The Answer is gonna be 0.2

0.1504 =0.2

Answer:

1). \(x = \frac{8}{7} \)

2). \(x = - \frac{45}{2} \)

Step-by-step explanation:

1) \(10 - \frac{1}{2} x = 6 + 3x\)

\(20 - x = 12 + 6x\)

\(20 - x - 6x = 12 + 6x - 6x\)

\(20 - x - 6x = 12\)

\( - x - 6x = 12 - 20\)

\( - 7x = 12 - 20\)

\( - 7x = - 8\)

\(x = \frac{8}{7} \)

•■•■•■•■•■•■•■•■•

2) \(x = - \frac{45}{2} \)

\( \frac{1}{2} x - \frac{1}{4} = \frac{3}{5} x + 2\)

\(20( \frac{1}{2} x - \frac{1}{4} ) = 20( \frac{3}{5} x + 2)\)

\(20 \times \frac{1}{2} x - 20 \times \frac{1}{4} = 20( \frac{3}{5} x + 2)\)

\(10x - 20 \times \frac{1}{4} = 20 \times \frac{3}{5} x + 20 \times 2\)

\(10x - 5 = 20 \times \frac{3}{5} x + 20 \times 2\)

\(10x - 5 = 4 \times 3x + 20 \times 2\)

\(10x - 5 = 4 \times 3x + 40\)

\(10x - 5 - 12x = 40\)

\(10x - 12x = 40 + 5\)

\( - 2x = 40 - 5\)

\( - 2x = 45\)

\(x = - \frac{45}{2} \)

Answer:

50 employees are members of the chorus

Step-by-step explanation:

Total number of chorus members = 70

ratio of students to employees = 2:5

This means that if the total number of employees were to be divided into 7 parts (2 + 5), 2 parts will be students while 5 parts will be employees. Now let us convert this fraction/ratio to numbers. This is done as follows:

students to employees = 2:5

∴ employees to students = 5:2

Total parts of employees and students = 5 + 2 = 7

∴ Number of employees

\(= \frac{5}{7}\ of\ 70\\= \frac{5}{7} \times \frac{70}{1}\\= \frac{350}{7} = 50\ members\)

∴ 50 members are employees, while the remaining 20 are students

Keith solved 15 equations in total it Tucker 52 minutes.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let's represent the number of equations Keith solved "x". We know that she took 3 minutes per equation and 7 minutes to start the problem, so the total time spent on the equations is 3x + 7 minutes.

We know the total time was 52 minutes, so we can set up an equation:

3x + 7 = 52

Next, isolate x by subtracting 7 from both sides:

3x = 45

Finally, solve for x by dividing both sides by 3:

x = 15

Thus, she solved 15 equations in total.

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The CNF representation in set notation is: {{P, A, Q, V}, {P, A, Q, R}}

The CNF representation in set notation is:{{P, V, Q}, {A}, {R}}

The CNF representation in set notation is:{{!P, H}, {Q}}

The CNF representation in set notation is:{{!S, P}, {!S, V}, {!S, Q}, {!S, V}, {!S, -R}}

The CNF representation in set notation is:{{R, S, -Q}, {R, S, -V}, {R, S, -P}}

To convert the formula (PAQVR) into CNF, we can break it down as follows:

Distribute the disjunction over the conjunction.

PAQVR = (PAQV) ∧ (PAQR)

Convert each clause into sets.

(PAQV) = {{P, A, Q, V}}

(PAQR) = {{P, A, Q, R}}

Combine the clauses using conjunction.

{{P, A, Q, V}} ∧ {{P, A, Q, R}}

The CNF representation in set notation is:

{{P, A, Q, V}, {P, A, Q, R}}

To convert the formula (-(PVQ) AR) into CNF, we can break it down as follows:

Remove the implication.

(-(PVQ) AR) = (!(-(PVQ)) ∨ A) ∧ R

Apply De Morgan's Law and distribute the disjunction over the conjunction.

(!(-(PVQ)) ∨ A) ∧ R = ((PVQ) ∨ A) ∧ R

Convert each clause into sets.

(PVQ) = {{P, V, Q}}

A = {{A}}

R = {{R}}

Combine the clauses using conjunction.

{{P, V, Q}, {A}} ∧ {{R}}

The CNF representation in set notation is:

{{P, V, Q}, {A}, {R}}

To convert the formula (PH-Q) into CNF, we can break it down as follows:

Convert the implication into disjunction and negation.

(PH-Q) = (!P ∨ H) ∨ Q

Convert each clause into sets.

!P = {{!P}}

H = {{H}}

Q = {{Q}}

Combine the clauses using conjunction.

{{!P, H}, {Q}}

The CNF representation in set notation is:

{{!P, H}, {Q}}

To convert the formula (-(S+ (-PVQV-R)) into CNF, we can break it down as follows:

Remove the double negation.

-(S+ (-PVQV-R)) = (!S ∨ (PVQV-R))

Distribute the disjunction over the conjunction.

(!S ∨ (PVQV-R)) = ((!S ∨ P) ∧ (!S ∨ V) ∧ (!S ∨ Q) ∧ (!S ∨ V) ∧ (!S ∨ -R))

Convert each clause into sets.

!S = {{!S}}

P = {{P}}

V = {{V}}

Q = {{Q}}

-R = {{-R}}

Combine the clauses using conjunction.

{{!S, P}, {!S, V}, {!S, Q}, {!S, V}, {!S, -R}}

The CNF representation in set notation is:

{{!S, P}, {!S, V}, {!S, Q}, {!S, V}, {!S, -R}}

To convert the formula ((RS) V-QV-P) into CNF, we can break it down as follows:

Distribute the disjunction over the conjunction.

((RS) V-QV-P) = ((RS ∨ -Q) ∧ (RS ∨ -V) ∧ (RS ∨ -P))

Convert each clause into sets.

RS = {{R, S}}

-Q = {{-Q}}

-V = {{-V}}

-P = {{-P}}

Combine the clauses using conjunction.

{{R, S, -Q}, {R, S, -V}, {R, S, -P}}

The CNF representation in set notation is:

{{R, S, -Q}, {R, S, -V}, {R, S, -P}}

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The length of the protein molecule, in meters, is 208 × 10⁻⁹m.

To find the length of the protein molecule:

Diameter of hydrogen atom = 104 × 10⁻¹⁰m

We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.

Therefore, the length of the protein molecule, in meters, is 208 × 10⁻⁹m.

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The correct question is given below:

The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?

First you calculate the area of the square, which is 82=64, then you calculate the area of a circle using the formula r2, which gives you 201.06;

you then divide this number by four because you only need the quarter, giving you 50.26. The two regions are added together in the final step, yielding the result

64+50.26=114.2.

All of those points are equally distant from a single point known as the circle's centre, and a circle is a geometric object that follows their paths.

The formula for a quarter circle's area using radius

The area of a circle, A, is equal to r2 if its radius is r.

The size of a quarter circle is then equal to times of A

= ¼ × πr2 = πr2/4

\(114.2cm^{2}\)

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Answer:

x=7

m<2=33

Step-by-step explanation:

4x+5=5x-2

5+2=5x-4x

7=x

m<2=4x+5

m<2=4×7+5

m<2=28+5=33

Comparing percentages, comparing means, and correlating scores are all different ways of describing results and are used in different contexts.

Comparing percentages is often used when dealing with categorical data or when the response variable is binary. It is a way of summarizing the proportion or percentage of respondents who fall into different categories or have different responses. For example, comparing the percentage of people who prefer Coke over Pepsi or the percentage of people who have a favorable view of a political candidate can be useful in understanding the overall trend in responses.

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Answer:

 y = − 2 x

Step-by-step Explanation:

Y + 2 = − 2 ⋅ ( − 1 )  Write in   y = m x + b  form.

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

m  in perpendicular  = − 1 2

(1,-2),y=(1)/(2)x+4

I hope I helped!

Answer:

y = -2x + 8

Step-by-step explanation:

For this problem we need to consider that the equation of a line perpendicular to another line will have a "negative reciprocal" slope so that when they cross, it forms a 90-degree angle, hence perpendicular.  Additionally, we will need to use the point-slope form and re-write it into the slope-intercept form to incorporate (2,4) into our equation.  With these things in mind, let's do that.

y = (1/2)x + (1/2)

We want a "negative reciprocal" so:

y = -2x + (1/2)

Since -2 is the "negative reciprocal" of 1/2.

And now we want to use the point-slope form to incorporate (2,4)

y - y0 = -2 ( x - x0 )

Where, y0 = 4 and x0 = 2.

y - y0 = -2 ( x - x0 )

y - 4 = -2 ( x - 2 )

y - 4 = -2x + 4

y = -2x + 8

So, the equation that is perpendicular to y = (1/2)x + (1/2) and includes the point (2,4) is y = -2x + 8.

Cheers.

Answer:

Prism B has a larger base area

Step-by-step explanation:

Given

Base dimensions:

Prism A:

Lengths: 6cm, 8cm and 10cm

Prism B:

Lengths: 5cm and 5cm

Required [Missing from the question]

Which prism has a larger base area

For prism A

First, we check if the base dimension form a right-angled triangle using Pythagoras theorem.

The longest side is the hypotenuse; So:

\(10^2 = 8^2 + 6^2\)

\(100 = 64 + 36\)

\(100 = 100\)

The above shows that the base dimension forms a right-angled triangle.

The base area is then calculated by;

Area = 0.5 * Products of two sides (other than the hypotenuse)

\(Area = 0.5 * 8cm * 6cm\)

\(Area = 24cm^2\)

For Prism B

\(Lengths = 5cm\ and\ 5cm\)

So, the area is:

\(Area = 5cm * 5cm\)

\(Area = 25cm^2\)

By comparison, prism B has a larger base area because \(25cm^2 > 24cm^2\)

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THANK YOU.

Answer:

y>0

Step-by-step explanation:

The range is the values the y can take

We see that y is greater than  zero

y>0

The product of the terms   \((d - 9)\)  and  \((2d^{2} + 11d -4)\)  will be \((2d^{3} - 7d^{2} - 103d + 36)\).

We have to find the product of two terms.

First term = (d - 9)

Second term = \((2d^{2} + 11d -4)\)

To find the product of these two terms, we will be using the distributive property. According to the distributive property, when we multiply the sum of two or more addends by a number, it will give the same result as when we multiply each addend individually by the number and then add the products together.

We have to find :  \((d - 9) (2d^2 + 11d -4)\)

Using the distributive property,

\(d * 2d^{2} + d * 11 + d * (-4) - 9 * 2d^2 - 9 * 11d - 9 * (-4)\)

After further multiplication, we get

\(2d^{3} + 11d^2 - 4d - 18d^{2} - 99d + 36\)

Now, combine all the like terms.

\(2d^{3} + 11d^{2} - 18d^{2} - 4d - 99d + 36\)

\(2d^{3} - 7d^{2} - 103d + 36\)

Therefore, the product of d-9 and 2d^2 + 11d -4 is \(2d^{3} - 7d^{2} - 103d + 36\)

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Answer:

the population used to be 455,000

Step-by-step explanation:

Answer:

the anser is c

Step-by-step explanation:

just try its a cfa jp

The statement that correctly represents the statement,

“the product of 4 and a number n, subtracted from 10” is  10-4n.

First Number =4

Second number =n

The product of 4 and a number n will be 4*n or 4n.

When the product of 4 and a number n i.e. 4n is subtracted from 10,

The expression we get= 10-4n

Therefore, the statement that correctly represents the statement,

“the product of 4 and a number n, subtracted from 10” is  10-4n.

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Answer: yes

Step-by-step explanation:

Answer:

n+1=4(n-8)

n+1=4xn/4 x-8

n+1=4n-32

1+32=4n-n

33=3n

33/3=3n/3

11=n

Step-by-step explanation:

Answer:

(-2,11) (1,-1) (5,-17)

Step-by-step explanation:

the range of this relation is 11,-1,-17

Answer:mode

Step-by-step explanation:5+4+9+9+3+75+1=mode

Answer:

the answer is 106

Step-by-step explanation:

4558÷43=106

Answer:

1,227

Step-by-step explanation:

3,000 divided by 3 is 1,000

600 divided by 3 is 200

80 divided by 3 is 26 r2

1 + r2 =3

and 3 divided by 3 is 1

1,000 + 200 + 26 + 1 = 1,227

Answer:

The better buy is:

$2.12 for 12 oz.

Step-by-step explanation:

$1.49 / 8oz = $0.18625/1oz

$2.12 / 12oz = 0.17667/oz

0.17667 < 0.18625

then:

the better buy is:

$2.12 for 12 oz

Answer:

\(a_{c}\) = \(\frac{v^{2} }{r}\)

Step-by-step explanation:

\(a_{c}\) = centripetal acceleration

v = velocity

r = radius

The best estimate for the population parameters is Option A: "a mean of 4.9 letters and a standard deviation of 1.5 letters", because these values match the estimates for the sampling distribution. 

The mean and standard deviation of the sampling distribution give us an idea of the spread and central tendency of the data. In this case the mean was 4.9 letters and the standard deviation was 0.15 letters. This suggests that the mean word length for the textbook is 4.9 letters & that the values are tightly clustered around this central value.

Therefore it is more likely that the population parameters would be similar to these estimates.

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Los puntos de datos dados son 10

Responder:

89 jonrones

Explicación paso a paso:

Dados los datos:

Datos de jonrones durante 11 años:

56,62,49,65,58,52,68,72,25,64

Para promediar 60 jonrones en 12 años:

Tome la media de los datos, utilizando una incógnita para el Número de jonrones en el año 12:

[(56 + 62 + 49 + 65 + 58 + 52 + 68 + 72 + 25 + 64 x) / 11] = 60

[(571 + x) / 11] = 60

571 + x = 60 * 11

571 + x = 660

x = 660 - 571

x = 89

Answer:

119 degrees

Step-by-step explanation:

The measure of EAC is 119 because 62 + 57 = 119.

Then, EAC and BAD are vertical angles, so they are equal.

Therefore, BAD = 119 degrees

Answer:

It is the first ONE

Step-by-step explanation:

62+57=119

I hope this helps