A total of 584 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?

Answer: B. a = b .

First of all, let's think that a is equal to b.

Then, let's link up these two triangles.

Now, we have a parallelogram.

x+y = a+60

and 75 = b . So, a = b. Then, a is also = 75.

Now apply the basic triangle rule.

75+75+x=180 .. x = 30 degree.

and for the other triangle....

y+75+60=180 .. y= 45 degree...

Now, let's consider that we want to write a as b.

So, x+b+75=180 ...x+b=105

and..

y+b+60=180...y+b = 120..

Then, let's exit the b from these two equations.

-1/  x+b=105

    y+b=120

Finally, we found this: y-x =15

and we have already found y and x values.

y was 45 and x was 30 degree.

So when we put these two numbers into that equation y-x=15

we found the value of 15.

So, our answer is a=b.

Answer:

\(\huge \boxed{\mathrm{B.} \ a=b}\)

Step-by-step explanation:

The two triangles form a parallelogram.

A parallelogram has opposite angles equal.

75 = b

Adjacent angles in a parallelogram are supplementary to one another.

They add up to 180 degrees.

a + 60 + 75 = 180

a + 135 = 180

Subtract 135 from both sides.

a = 75

Therefore, a = b.

Answer:

3x - 4 = 32

Step-by-step explanation:

We solve for x to find the number (knowing that x is the unknown number).

3x - 4 = 32

3x = 32 + 4

3x = 36

x/3 = 36/3

x = 12

Using the expected value of binomial distribution, we found the following:

E[T] = 15.54

E[R] = 13,053.60

E[Q] = -26,183.9

What is meant by the expected value in binomial distribution?

The binomial distribution is the discrete probability distribution used in probability theory and statistics that only allows for Success or Failure as the possible outcomes of an experiment. The expected value, commonly denoted by E(x), in a probability distribution is the weighted average of all theoretically possible values of a random variable, with weights determined by their respective theoretical probabilities. A binomial distribution's expected value, or mean, is derived by multiplying the number of trials (n) by the likelihood that they will succeed (p).

The chance of getting a winning ticket = 1/1010

Number of tickets bought by Wilbur on each day = 2

Number of years he bought the ticket = 43

a) We are asked to find the expected number of winning tickets E[T].

The total number of days the ticket was bought = 365*43 = 15,695

Using the formula for the expected value of a binomial distributed random variable, we can find E[T].

E[T] = 1/1010 * 15695 = 15.54

b) The worth of the winning ticket is $840.

     R = 840T

 Expected amount E[R] =  E[840T] = 840E[T] = 840 * 15.54 = 13,053.60

c) Cost of each ticket = $2.5

Net Profit  Q = 840T− 2.5 * 15695 = 840T - 39237.5

Expected net profit is:

E[Q] = E[840T - 39237.5] = 840E[T] − 39237.5 = 840 * 15.54 - 39237.5

                                                             = -26,183.9

There is a loss of $26,183.9.

Therefore using the expected value of binomial distribution, we found the following:

E[T] = 15.54

E[R] = 13,053.60

E[Q] = -26,183.9

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The variance of Billy's grades obtained from his test scores is 15.76

The variance is a measure of variability or spread a dataset. The variance can be calculated from the sum of the square of the differences of the data points from the mean divided by the number or count of the data points.

The variance of Billy's test scores can be calculated by finding the mean or the average of the scores, then finding the sum of the squares of the differences of each score from the mean as follows;

The mean score = (89 + 88 + 93 + 90 + 81)/5 = 88.2

The square of the differences of the values from the mean can be calculated as follows;

(89 - 88.2)² = 0.64, (88 - 88.2)² = 0.04, (93 - 88.2)² = 23.04, (90 - 88.2)² = 3.24, and (81 - 88.2)² = 51.84

The sum of the square of the differences is therefore;

0.64 + 0.04 + 23.04 + 3.24 + 51.84 = 78.8

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Answer:

angle 1 130°

angle 2 50°

angle 3 130°

Step-by-step explanation:

180°-50°=130°, use one of the road as the straight line,

which is 180° so angle 1 is 130°

which means angle 2 is also 50° because 180°-130° is 50°

and angle 3 is 130° because 180°-50°=130°

Hope this helps :)

Answer:

C

Step-by-step explanation:

trust me c is the correct answer

Answer:

44,000 feet

Step-by-step explanation:

one mile equals 5280 feet so then you take 8 1/3 * 5280 = 44000 feet

Answer:

  A)  6.86×10⁴

Step-by-step explanation:

You want to write 68600 in scientific notation.

The number 68600 can be written in expanded form with exponents as ...

  68600 = 6×10⁴ +8×10³ +6×10² +0×10¹ +0×10⁰

The left-most term of this sum tells you the exponent in scientific notation:

  68600 = 6.86×10⁴

Answer:

2006

Step-by-step explanation:

i know maths

Answer:

1906

Step-by-step explanation:

59x10=590x3=1770+136=1906

Answer:

Step-by-step explanation:

Julian bought a total of 8 packs of beef franks, each containing 15 beef franks. So the total number of beef franks is:

8 packs × 15 beef franks/pack = 120 beef franks

Julian, Angel, Pedro, and Miguel together cooked all 120 beef franks. Let's add up the fractions they cooked:

5/12 + 3/20 + 1/6 + Miguel's fraction = (25 + 9 + 10M + 60M) / (60*20)

= (34 + 70M) / 120

We know that this fraction must equal 1 (since they cooked all the beef franks), so we can set up an equation:

(34 + 70M) / 120 = 1

Solving for M, we get:

34 + 70M = 120

70M = 86

M = 43/35

Therefore, Miguel cooked 43/35 of the beef franks. This fraction can be simplified:

43/35 = 1 + 8/35

So Miguel cooked 1 and 8/35 of the beef franks.

The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:

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

Where:

FV is the future value of the annuity,

P is the yearly payment,

r is the interest rate per compounding period, and

n is the number of compounding periods.

In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.

Let's substitute these values into the formula and calculate the total value of the annuity:

FV = 693 * ((1 + 0.053)^16 - 1) / 0.053

FV = 693 * (1.053^16 - 1) / 0.053

Using a calculator, we can evaluate the expression inside the parentheses:

1.053^16 ≈ 1.9738

Substituting this value back into the formula:

FV = 693 * (1.9738 - 1) / 0.053

FV = 693 * 0.9738 / 0.053

FV ≈ 12739.62

Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.

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Answer:

you could do 3 tens and 1 ones or 2 tens and 11 ones

Step-by-step explanation:

hope this helps!

The correct answer is option D. 1/35. To count the number of rectangles that can be formed, we need to consider the two cases where the diagonals of the rectangle are parallel to the sides of the octagon, and where the diagonals are perpendicular to the sides of the octagon.

In the first case, there are four choices for which side the diagonals are parallel to, and once that side is chosen, there are two choices for which pair of vertices lie on that side. Therefore, there are $4 \cdot 2 = 8$ rectangles of this type.

In the second case, there are four choices for which vertex the diagonals intersect, and once that vertex is chosen, there are two choices for which pair of vertices lie on the same side of the intersection point as the chosen vertex. Therefore, there are $4 \cdot 2 = 8$ rectangles of this type.

Altogether, there are $8 + 8 = 16$ rectangles. Therefore, the probability that the quadrilateral formed by the four vertices is a rectangle is

                               = \frac{1}{{8 \choose 4}/16}

                               = \frac{1}{{8 \choose 4}/2^4}

                               = \frac{1}{{8 \choose 4}/2^4}

                               = \boxed{\text{(D) } 1/35}$.

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Answer:

\( P(X=7)\)

And using the probability mass function we got:

\(P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271\)  

Step-by-step explanation:

Let X the random variable of interest, on this case we now that:  

\(X \sim Binom(n=15, p=0.23)\)  

The probability mass function for the Binomial distribution is given as:  

\(P(X)=(nCx)(p)^x (1-p)^{n-x}\)  

Where (nCx) means combinatory and it's given by this formula:  

\(nCx=\frac{n!}{(n-x)! x!}\)  

And we want to find the following probability:

\( P(X=7)\)

And using the probability mass function we got:

\(P(X=7)=(15C7)(0.23)^7 (1-0.23)^{15-7}=0.0271\)  

Answer:

A

Step-by-step explanation:

With function transformation, added/subtracted numbers outside of the x always mean the function is being translated up/down. In this case, since the 2 is being replaced with a 4, the new function is 2 units higher than the previous function.

Step-by-step explanation:

i would love to say 2 but the word had shows that he does not have 3 apples anymore so the answer is either

0 or -1

The number of apples left after taking the 1 apple from 3 apples by a person is 2 apples.

Subtraction stands for the resultant number, which exists acquired by taking the difference of a number from another number.

Let a number be subtracted from the number b. Then the consequent number after subtracting b from a will be,

d = b - a

Here, (a, b) exists the real numbers.

It exists given that there exist 3 apples. 1 apple stand was taken. Let's assume after taking the 3 apples, that there exist x apples remaining.

As there exist a total of 3 apples and 1 apple stand taken, then to estimate the number of apples left, we must subtract 1 apple from 3 apples.

Therefore, the total apples left exist,

x = 3 - 1

x = 2

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To form an isosceles triangle Jefferson should plot the third point at (4,2).

Any triangle with two sides that have the same length is said to be an isosceles triangle. If the two sides of a triangle are congruent, then the angle across from them must likewise be, according to the theorem that explains the isosceles triangle. As a result, the two angles of an isosceles triangle that are on opposite sides with equal numbers are equal in size.

Given, Jefferson is plotting the vertices of an isosceles right triangle on a coordinate graph.

the given points are,

(-2,-4) (4,-4)

Let, x₁ = -2, y₁ = -4

x₂ = 4, y₂ = -4

distance between (-2,-4) (4,-4) is given as,

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

= √[(4 - -2)² + (-4 - -4)²]

= √[(4 + 2)² + (-4+ 4)²]

= √[(6)² + (0)²]

= √[(6)²

= 6

now verifying with other options,

1). For points (-2, -9),

Distance between (-2, -4) and (-2, -9) = √[(-2 + 2)² + (-4 + 9)²] = √5

Similarly, distance between (4, -4) and (-2, -9) = √[(4 +2)² + (-4 + 9)²] = √61

side is not equal. So the triangle is not isosceles.

2). For a point (3, 1),

Distance between (3, 1) and (-2, -4) = √[(3 + 2)² + (1 +  4)²] = 5√2

Distance between (3, 1) and (4, -4) = √[(3 - 4)² + (1 +  4)²] = 26

side is not equal. So the triangle is not isosceles.

3). For a point (-2,0),

Distance between (-2, 0) and (-2, -4) = √[(-2 + 2)² + (-4 + 0)²] = 4

Distance between (-2, 0) and (4, -4) = √[(-2 - 4)² + (0 + 4)²] = 2√13

side is not equal. So the triangle is not isosceles.

4). For a point (4, 2),

Distance between (4, 2) and (-2, -4) = √[(4 + 2)² + (2 + 4)²] = 6√2

Distance between (4, 2) and (4, -4) = √[(4 - 2)² + (2 + 4)²] = 6

Sides are equal so the triangle formed is an isosceles triangle.

Therefore, the third coordinate is (4, 2).

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The complete question is,

Jefferson is plotting the vertices of an isosceles right triangle on a coordinate graph. He has plotted the two points shown. Where should he plot the third point?

The point is on the graph is (-2,-4) (4,-4)

The options is

(-2,-9)

(3,1)

(-2,0)

(4,2)

Answer:

20,000

Step-by-step explanation:

for 5 6% at those with division 20,000 together and they would have 20,000

The Linear probability model always contains heteroskedasticity when the dependent variable is binary unless all of the slope parameters are zero. It's true.

Probability is the branch of mathematics concerning numerical descriptions of how probable an event is to do, or how likely it's that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

In statistics, a direct probability model is a special case of a double retrogression model. Then the dependent variable for each observation takes values that are moreover 0 or 1.

The introductory sapience is that the direct probability model can be used whenever the relationship between probability and log odds is roughly direct over the range of modeled chances.

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Answer:

I think the answer is B, that was what i got

Answer:

-6 I meant

Step-by-step explanation:

Answer:

.05 %

Step-by-step explanation:

Hi! I believe your answer is 4.7%. Simply move the decimal two places to the right. I hope this helps you! Good luck and have a great day. ❤️✨

Answer:

3.5

Step-by-step explanation:

Since M is the midpoint that means Segments AM and BM are equal to each other, so we can set up a formula:

4x-2=2(x+5)

Distribute the 2:

4x-2=2x+5

Isolate the variable:

Add&Subtract:

4x-2x=2x, 5+2=7

2x=7

Divide:

7/2= 3.5

X=3.5

I hope this helps! :D

Pls give thx and brainliest if I’m right!

The values of the piecewise functions at the indicated limits using the equations obtained from the graph are;

\(\lim \limits_{x \to2^+}\frac{f(x) - 4}{f(x+ 3)} = \underline{-\frac{2}{3} }\)

\(\lim \limits_{x\to 3^-}\) f(f(x) + 4) = 7

\(\lim\limits_{h\to 0} \frac{f(2+ h)-f(2)}{h}\) DNE

A piecewise function is a function that has rules or definition based on the interval of reference of the function.

The graphed function, f(x), comprising of several piecewise functions, indicates that as x → 2⁺, we get;

The points on the line of the graph are;

(1, 1), and (3, 3)

The slope of the graph as x tends to 2⁺ is therefore;

Slope = (3 - 1)/(3 - 1) = 1

The equation of the line is therefore;

y - 1 = x - 1

y = f(x) =  x

Therefore;

f(x) - 4 = x - 4

f(x + 3) = x + 3

\(\lim \limits_{x\to 2^+} \frac{f(x) -4}{f(x + 3)} = \frac{x - 4}{x + 3} | x = 2\)

The piecewise function for the interval, x → 3⁻ is; f(x) = x, therefore;

f(f(x) + 4) = f(x + 4) = x + 4

\(\lim \limits_{x\to 3^-}f(f(x) + 4)\) = x + 4, where; x = 3, therefore;

\(\lim \limits_{h\to 0} = \frac{f(2 + h)-f(2)}{h}\), can be found as follows;

The equation of the function at x = 2 is; y = f(x) = x

f(2 + h) = 2 + h

f(2) = 2

Therefore;

\(\frac{f(2 + h)-f(2)}{h}\) = (2 + h - 2)/h = h/h

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It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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