Suppose you have a bag with the following in it: 5 one dollar bills, 4 fives, 3 tens, 5 twenties, and 3 fifties. Assuming the experiment requires drawing one bill from the bag at random, complete the probability distribution for this experiment.

Required:
What is the probability of drawing 9 dollars or less in a single draw?

Answers

Answer 1

Answer:

(a) Probility Distribution

Outcome   probability

$1               5/15 = 1/3

$5              4/15

$10             3/15 = 1/5

$20            5/15 = 1/3

(b) P($9 or less) =  3/5

Step-by-step explanation:

(a) Probility Distribution

Outcome   probability

$1               5/15 = 1/3

$5              4/15

$10             3/15 = 1/5

$20            5/15 = 1/3

Any other denomination

                  0

(b)

ways to draw $9 or less in a single draw

P($1) = 1/3

P($5) = 4/15

P($9 or less) = P($1) + P($5) = 1/3 + 4/15 = 9/15 = 3/5


Related Questions

A basketball player scored 33 points during a game by shooting 1-point free throws, 2-point field goals, and 3-point field goals. The player scored 17 times. She scored 3 more 2-point field goals than 1-point free throws. The system of equations below represents the situation, where x is the number of 1-point free throws, y is the number of 2-point field goals, and z is the number of 3-point field goals. x + y + z = 17 x + 2y + 3z = 33 y – x = 3

Answers

Answer:

No. of 1 pt free throws = 5, No. of 2 pt goals = 8, No. of 3 pt goals = 4

Step-by-step explanation:

Equations : x + y + z = 17 [ Total times taken to score ]

1x + 2y + 3z = 33 [ Total Score ]

Also, y = x + 3

Putting the value of 'y' in both equations :

x + (x + 3)+ z = 17 → 2x + 3 + z = 17 → 2x + z = 14  (i)

1x + 2 (x + 3) + 3z = 33 →  x + 2x + 6 + 3z = 33 → 3x + 3z = 27 (ii)

Solving these equations :

From (i), z = 14 - 2x

Putting this value in (ii), 3x + 3(14 - 2x) = 27 → 3x + 42 - 6x = 27

42 - 3x = 27 → 3x = 15 → x = 5

y = x + 3 = 5 + 3 → y = 8

z = 17 - x - y → z = 17 - 5 - 8 = 17 - 13 → z = 4

Answer:

4

Step-by-step explanation:

Assume a random sample of size n is from a normal population. Assume a single sample t test is used to for hypothesis testing. The null hypothesis is that the population mean is zero versus the alternative hypothesis that it is not zero. If the sample size is decreased, and the Type I error rate is unchanged, then the Type II error rate will increase.a. Trueb. False

Answers

Answer:

true

Step-by-step explanation:

type 1 and type 2 are not independent of each other - as one increases, the other decreases

25. After a horizontal reflection across the y-axis, f(x) is: options: f(–x) f(x – 1) –f(–x) –f(x)

Answers

Answer:

A,  f(–x)

Step-by-step explanation:

Reflection about the y-axis is defined as:

f(x) = - f(-x)

So the correct answer is

A,  f(–x)

21
22
C
Because of President Clinton's stand on Haiti,
O President Aristide was assassinated.
O President Aristide fled to Somalia.
O Haitian military powers agreed to step aside.
O Haitian rulers threatened to invade the United States.
Mark this and return
Save and Exit
sont vodo)​

Answers

Answer:

Haitian military powers agreed to step aside.

Step-by-step explanation:

How did President Clinton react when military leaders in Haiti overthrew Aristide? He threatened to invade Haiti if Aristide wasn't returned to power. ... Because of President Clinton's stand on Aristide's oust from power in Haiti, Haitian military powers agreed to step aside.

C. Haitian military powers agreed to step aside.

edge 2021

Find the most general antiderivative of the function. (Use C for the constant of the antiderivative).
f(x) = 6x5 − 7x4 − 9x2
F(x) = ?

Answers

Answer:

[tex]x^6 - \frac{7x^5}{5} - 3x^3 + C[/tex]

A chemical company makes two brands
of antifreeze. The first brand is 30% pure
antifreeze, and the second brand i$ 80% pure
antifreeze. In order to obtain 80 gallons of a
mixture that contains 70o£ pure antifreeze, hov
mabry gallons of each band ot antifneze must
bo used?​

Answers

Answer:

16 bags for the first(30% pure) and 64 bags of the second(80% pure)

Step-by-step explanation:

If they are mixed in a ratio of x bags to y bags

(0.3x+0.8y)/(x+y) = 0.7

0.3x + 0.8y = 0.7(x+y)

Multiply both sides with 10

3x + 8y = 7(x+y)

4x = y ——(1)

x + y = 80 ——(2)

Solve simultaneously

x + 4x = 80

5x = 80

x = 16 bags

y = 4x = 64 bags

Caleb made 6 quarts of trail mix for his camping trip. Each week,he ate 4 pints of the trail mix. How many weeks did Caleb have trail mix?




Sry if this is too much ​

Answers

Answer:

3 weeks

Step-by-step explanation:

6 quarts = 12 pints

12 divided by 3 = 4

Step-by-step explanation:

1 quart = 2 pints

6 quarts = 2 x 6 = 12 pints

12 ÷ 4 = 3

He can have 3 weeks

Suppose that a polynomial function of degree 4 with rational coefficients has 6, 4, 6i as zeros. Find the other zero

Answers

Answer:

-6i

Step-by-step explanation:

Complex roots have to come in conjugate pairs

So if we have 6i as a root, we must have -6i as a root

Answer:

-6i

Step-by-step explanation:

Hello, because this polynomial function has real coefficients and 6i is a zero, the conjugate of 6i is a zero as well. It means -6i is a zero.

The degree is 4 the number of zeroes is less or equal to 4 and we have already, 6, 4, 6i and -6i. So we have all the zeroes.

Thank you

Please answer ASAP PLEASE!​

Answers

Answer/Step-by-step explanation:

The inequality, x ≤ 7, has solutions that includes values that is equal to 1 or less than 7.

This can be represented on a number line as shown in the number line graphed in the attachment below.

A full circle or shaded "o" indicates that the number 7 is included in the solution.

The arrow points from 7 to the left, telling us that the value of x are all numbers from 7 and below.

What information do you need in order to determine the total distance Sam drives versus the actual displacement between his starting and ending points?

Answers

Answer:

  his path

Step-by-step explanation:

In order to determine the total distance driven from one place to another, you need to know the path taken.

 evaluate the expression for c=-10, d=9 and f=-1

Answers

Answer:

99

Step-by-step explanation:

(-10)(9)(-1) + 9 =

90 + 9 = 99

a milha eh uma unidade usada para medir distancias. ela equivale a cerca de 1,6 quilometros. se cada carro percorrer 240 quilometros, quantas milhas tera percorrido? urgente

Answers

Classica aplicação de regra de 3:

é dito que: 1 milha = 1,6km

Logo, eis a regra de 3:

  milha           km

     1   --------    1,6

     X  --------   240

1,6X = 240.1

X = 240/1,6

X = 150milhas

Logo 240km equivalem a 150milhas

(Algebra)
Plz help me ASAP!! I’ll be so grateful!

Answers

Answer:

y > 1

Step-by-step explanation:

-2(7 + y) > -8(y + 1)

-14 -2y > -8y -8

-2y +8y > -8 +14

6y > 6

6y/6 > 6/6

y > 1

If there are 25 students in a class in which 5 of the 11 guys wear glasses and 6 out of the 14 girls wear glasses- what is the probability that one of the students in the class is a guy that he wears glasses?

Answers

Answer:

6 out of 25

Step-by-step explanation:

In the multiplication below, each of A, B and
C represents a different digit. What is ABC?
A B C
X
3
В В В

Answers

Answer:

ABC = 148, 3*148 = 444

Step-by-step explanation:

We know that 111 = 3*  37, so all numbers of the form BBB has the factor 37.

So we need a multiple of 37 such thant when multiplied, we get three digits the same as the middle digit.

Try 4*37 = 148, 148*3 = 444, bingo, we got the right combination.

So ABC is 148.


Helppppp thxxxxxxxxxx

Answers

Answer:

F. [tex] \frac{3}{2} [/tex]

Step-by-step explanation:

[tex] \frac{a + 2b}{b} = \frac{7}{2} [/tex]

Cross multiply:

7b= 2(a +2b)

Expand:

7b= 2a +4b

Bring all common variables to 1 side:

7b -4b= 2a

3b= 2a

divide by 2 on both sides:

[tex] \frac{3}{2} b = a[/tex]

divide by b on both sides:

[tex] \frac{3}{2} = \frac{a}{b} \\ \frac{a}{b} = \frac{3}{2} [/tex]

Find the value of angle X. x = 40 x = 55 x = 109 x = 130 I will mark as Brainliest

Answers

Answer:

130 degree

Step-by-step explanation:

Interior angles of the triangle:

81, 49, (180-x)

and by sum of all angles of triangle is 180 degree,

therefore,

81 + 49 + 180 - x = 180

x = 130 degree

Select the correct answer from each drop-down menu.
The function f is given by the table of values as shown below.

x 1 2 3 4 5
f(x) 13 19 37 91 253
Use the given table to complete the statements.

The parent function of the function represented in the table is
.

If function f was translated down 4 units, the
-values would be
.

A point in the table for the transformed function would be
.

Answers

Answer:

3^x9, 15, 33, 87, 249(4, 87) for example

Step-by-step explanation:

a) First differences of the f(x) values in the table are ...

  19 -13 = 6, 37 -19 = 18, 91 -37 = 54, 253 -91 = 162

The second differences are not constant:

  18 -6 = 12, 54 -18 = 36, 162 -54 = 108

But, we notice that both the first and second differences have a common ratio. This is characteristic of an exponential function. The common ratio is 18/6 = 3, so the parent function is 3^x.

__

b) Translating a function down 4 units subtracts 4 from each y-value. The values of f(x) in the table would be ...

  9, 15, 33, 87, 249

__

c) The x-values of the function stay the same for a vertical translation, so the points in the table of the transformed function are ...

  (x, f(x)) = (1, 9), (2, 15), (3, 33), (4, 87), (5, 249)

Answer: I think this is it:

The parent function of the function represented in the table is exponential. If function f was translated down 4 units, the f(x)-values would be decreased by 4. A point in the table for the transformed function would be (4,87)

Step-by-step explanation: I got it right on Edmentum!

NEED HELP ASAP


Which point represents the center of the circle shown below?

Answers

Answer:

Point O represents the center of the circle

Step-by-step explanation:

HOPE IT HELPS. PLEASE MARK IT AS BRAINLIEST

Answer: Point O

Explanation:

Point O is in the middle of the circle

And other point are not in the middle

What is the period of the function shown in the graph?

Answers

At origin, the value of the function is [tex]0[/tex]

and then it again becomes zero for the first time is at $2$

but the function isn't repeating itself (it's going downwards)

at $x=4$, it's exactly same, hence the period is $4$

graph the solution set to the inequality

Answers

Graphed using the given range equation. The shaded area is the possible range, extending to infinity, infinity from 0, -1.

Suppose a triangle has two sides of length 33 amd 37, and that the angle between these two sides is 120°. What is the length of the third side of the triangle

Answers

Answer:

c = 60.65 cm

Step-by-step explanation:

Given that,

The two sides of a triangle are 33 cm and 37 cm.

The angle between these two sides is 120°.

We need to find the length of the third side of the triangle. Let c is the third side. Using cosine rule,

[tex]c^2=a^2+b^2-2ab\cos C[/tex]

a = 33 cm, b = 37 cm and C is 120°

So,

[tex]c^2=(33)^2+(37)^2-2\times 33\times 37\cos (120)\\\\c=60.65\ cm[/tex]

So, the length of the third side of the triangle is 60.65 cm.

If you invest $ 30 , 700 with an annual interest rate of 8.9 % , compounded daily, how much would you have at the end of 4 years?

Answers

Answer: $43,823.37

Step-by-step explanation:

Formula to calculate the accumulated amount earned on principal (P) at rate of interest (r) compounded daily after t years :

[tex]A=P(1+\dfrac{r}{365})^{365t}[/tex]

As per given , we have

P= $ 30,700

r= 8.9 % = 0.089

t= 4 years

[tex]A=30700(1+\dfrac{0.089}{365})^{365(4)}\\\\=30700(1+0.0002438)^{365(4)}\\\\=30700(1.0002438)^{1460}\\\\=30700(1.42747138525)\\\\=43823.3715272\approx43823.37[/tex]

Hence, the amount at the end of 4 years would be $43,823.37 .

0.25÷3=x÷1 1/2 That fraction is one and a half.

Answers

Answer:

x = 1/8

Step-by-step explanation:

Given the expression 0.25÷3=x÷1 1/2, we are to look for the value of x from the given equation. Rewriting the equation we will have;

[tex]\dfrac{0.25}{3} = \dfrac{x}{1\frac{1}{2} }[/tex]

On simplification;

[tex]0.25 * \frac{1}{3} = x * \frac{2}{3} \\ \\ \frac{25}{100}*\frac{1}{3} =\frac{2x}{3}\\\\ \frac{1}{4} * \frac{1}{3} = \frac{2x}{3}\\\\ \frac{1}{12} = \frac{2x}{3}\\\\cross \ multiply\\\\2x * 12 = 3\\\\24x = 3\\\\Divide \ both \ sides \ by \ 24\\\\24x/24 = 3/24\\\\x = 1/8[/tex]

Hence the value of x in the expression is 1/8

Find and interpret a 95% confidence interval to estimate the average number of bolts per box for all boxes in the population. Round to 3 decimal places.

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The 95% confidence interval is  [tex]49.85 < \mu < 54.15[/tex]

This means that there is 95% chance that the true population mean is within this interval

Step-by-step explanation:

From the question we are told that

    The  sample size is n = 30  

    The sample mean is  [tex]\= x = 52[/tex]

    The population standard deviation is  [tex]\sigma = 6[/tex]

Given that the confidence level is 95% then the level of confidence is evaluate as

             [tex]\alpha = 100 - 95[/tex]

            [tex]\alpha = 5\%[/tex]

            [tex]\alpha = 0.05[/tex]

Next we obtain the critical value of  [tex]\frac{\alpha }{2}[/tex] from the normal distribution table , the values is

                 [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]

Generally the margin of error is mathematically represented as

           [tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]

substituting values

            [tex]E = 1.96 * \frac{ 6 }{\sqrt{30} }[/tex]

           [tex]E = 2.147[/tex]

The  95% confidence interval is mathematically represented as

          [tex]\= x - E < \mu < \= x + E[/tex]

substituting values

         [tex]52 - 2.147 < \mu < 52 + 2.147[/tex]

         [tex]49.85 < \mu < 54.15[/tex]

       

     

is perpendicular to . How many 90° angles are formed by the intersection?

Answers

Answer:

if a is perpendicular to b then four 90 degree angles are formed

Step-by-step explanation:

if a line is perpendicular to another that means that it forms a 90 degree angle on all of the angles

Answer:

Four

That is the right answer for Edmentum and Plato users

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What is the lateral surface area of a right hexagonal prism whose base is a regular hexagon with sides measuring 8 inches long and altitude measuring 6 inches tall?

Answers

Answer:

  288 square inches

Step-by-step explanation:

Assuming your "altitude" is the height of the prism--the distance between bases, the lateral area is the sum of the areas of the six rectangular faces. Each of those has an area of ...

  (8 in)(6 in) = 48 in^2

so the 6 of them will have an area of ...

  lateral area = 6×48 in^2 = 288 in^2

_____

Comment on nomenclature

'Altitude' is usually associated with the height of a triangle. In the case of a regular polygon, the 'altitude' of a triangular section of the polygon is called the 'apothem', and is often designated using the letter 'a'. If the polygon is regular, the apothem can be calculated from the side length and the number of sides, but it is often given in problems involving area, perimeter, and/or volume.

The distance between the parallel bases of a prism is often referred to as the prism height or length. The use of the word 'altitude' is confusing in this case.

Since the lateral area is the product of the perimeter of the base and the distance between bases, we have to assume that your 'altitude' refers to the distance between bases. Otherwise, there is not sufficient information to work the problem.

In a random sample of 20 NBA basketball games the mean number of points scored by the home team was 100.4 with a standard deviation of 4.86.
Create and interpret a 95% confidence interval for the true mean number of points scored by an NBA basketball team at home.
You and your friend were watching a LA Lakers game where they were not playing at home. They only scored 98 points. Your friend says, "Wow, I bet if they were playing at home they would have scored a lot more points." Do you agree or disagree with your friend? Support your detailed answer.

Answers

Answer:

The  95% confidence interval is  [tex]98.27 < \mu < 102.53[/tex]

This interval means that there 95% confidence that the true mean is within this interval  

Yes i would agree with my friend because the lower and the upper limit 95% confidence interval for mean points scored at home is greater than 98 points

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  20

   The  sample mean is  [tex]\mu = 100.4[/tex]

     The standard deviation is  [tex]\sigma = 4.86[/tex]

 

Given that the confidence level is  95% then the level of significance is mathematically evaluated as

                [tex]\alpha = 100 - 95[/tex]

               [tex]\alpha = 5\%[/tex]

                [tex]\alpha = 0.05[/tex]

Next we obtain the critical value of [tex]\frac{ \alpha }{2}[/tex] from the normal distribution table, the value is  

           [tex]Z_{\frac{ \alpha }{2} } = 1.96[/tex]

Generally the margin of error is mathematically represented as

           [tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma}{ \sqrt{n} }[/tex]

substituting values

            [tex]E = 1.96 * \frac{ 4.86 }{ \sqrt{20 } }[/tex]

           [tex]E = 2.13[/tex]

The  95% confidence interval is  mathematically represented as

          [tex]\= x - E < \mu < \= x + E[/tex]

substituting values

         [tex]100.4 - 2.13 < \mu < 100.4 + 2.13[/tex]

          [tex]98.27 < \mu < 102.53[/tex]

Let A represent going to the movies on Friday and let B represent going bowling on Friday night. The P(A) = 0.58 and the P(B) = 0.36. The P(A and B) = 94%. Lauren says that both events are independent because P(A) + P(B) = P(A and B) Shawn says that both events are not independent because P(A)P(B) ≠ P(A and B) Which statement is an accurate statement? Lauren is incorrect because the sum of the two events is not equal to the probability of both events occurring. Shawn is incorrect because the product of the two events is equal to the probability of both events occurring. Lauren is correct because two events are independent if the probability of both occurring is equal to the sum of the probabilities of the two events. Shawn is correct because two events are independent if the probability of both occurring is not equal to the product of the probabilities of the two events.

Answers

Answer:

Shawn is correct because two events are independent if the probability of both occurring is equal to the product of the probabilities of the two events.

Step-by-step explanation:

We are given that A represent going to the movies on Friday and let B represent going bowling on Friday night. The P(A) = 0.58 and the P(B) = 0.36. The P(A and B) = 94%.

Now, it is stated that the two events are independent only if the product of the probability of the happening of each event is equal to the probability of occurring of both events.

This means that the two events A and B are independent if;

P(A) [tex]\times[/tex] P(B) = P(A and B)

Here, P(A) = 0.58, P(B) = 0.36, and P(A and B) = 0.94

So, P(A) [tex]\times[/tex] P(B) [tex]\neq[/tex] P(A and B)

      0.58 [tex]\times[/tex] 0.36 [tex]\neq[/tex] 0.94

This shows that event a and event B are not independent.

So, the Shawn statement that both events are not independent because P(A)P(B) ≠ P(A and B) is correct.

Answer:

Shawn is correct

Step-by-step explanation:

If all angles are 90 degrees, and the crystal has a square base with a height that is larger than one of the square sides, what type of unit cell is it

Answers

Answer:

Tetragonal unit cell.

Step-by-step explanation:

A unit cell is the smallest part of a material which is formed by a well arranged lattice points. Some common types are; face centered, body center, tetragonal, cubic etc

Tetragonal unit cell has a square top and base, with rectangular sides. The internal angles are [tex]90^{0}[/tex] each, and consists of molecules, atoms, or ions (lattice points) arranged at each corners of the unit cell.

The crystal as described in the given question is a tetragonal unit cell.

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