A jar is filled with 74 different colored marbles, 10 of which are red, 38 of which are blue, and 26 of which are green. A player is asked to draw a single marble from the jar and if they draw a red marble they will win $20, if they draw a blue marble they will lose $10, and if they draw a green marble they will lose $5. You may round your answer to the nearest cent
Solution :
Colored marble Prize
Red ---- 10 20
Blue --- 38 10
Green --- 26 5
P(red) = 10/74 = 5/37
P(blue) = 38/74 = 19/37
P( green) = 26/74 = 13/37
Therefore,
X → Red Blue Green
P(X) 5/37 19/37 13/37
The expected values are :
[tex]$20 \times \frac{5}{37} - 10 \times \frac{19}{37} - 5 \times \frac{13}{37}[/tex]
= -4.189
Thus it is not profitable to play the game.
HELP! (25 points) i think i might know the answer
Answer:
[tex]\sqrt{7}[/tex]
Step-by-step explanation:
La sombra que proyecta un edificio es de 16 m si el coseno del ángulo que se forma entre la punta de la sombra y el techo del edificio es 16/20 cual es la altura del edificio
Answer:
dont understand clearly
Step-by-step explanation:
dont understand clearly
Suggest a fundamentally and conceptually different way that is always under the control of the researcher of making the margin of error smaller.
Step-by-step explanation:
First, we may wonder, what does the term margin of error mean? Put simply, the margin of error is a measure of the degree to which research results do not reflect the views of the total studied population. In other words, it tells readers how much confidence they should have in the results presented.
It has often been suggested that a fundamentally and conceptually effective way that is always under the control of the researcher of making the margin of error smaller is to increase the sample size of the research. This basically involves collecting more sample data which thus leads to a closer estimate of the view of the entire population.
Find z, the total impedance, of each circuit. Express your answer in standard form
Answer:
a. 7 Ω
b. 5 Ω
c. 4.472 Ω
Step-by-step explanation:
a. Since we have two resistors in with resistances R = 4Ω and R' = 3 Ω in series, the total impedance z of the circuit is the sum of the individual resistances.
So, z = R + R' = 4 Ω + 3Ω = 7 Ω
b. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, the total impedance is z = √(R² + X²)
z = √((4 Ω)² + (3 Ω)²)
z = √(16 Ω² + 9 Ω²)
z = √(25 Ω²)
z = 5 Ω
c. Since we have a resistor of resistance R = 4Ω in series with an inductor of reactance X = 3 Ω, and a capacitor of reactance, X' = 1 Ω the total impedance is z = √[R² + (X - X')²]
z = √((4 Ω)² + (3 Ω - 1 Ω)²)
z = √(16 Ω² + (2 Ω)²)
z = √(16 Ω² + 4 Ω²)
z = √(20 Ω²)
z = √(4 × 5) Ω
z = √4 × √5 Ω
z = 2√5 Ω
z = 4.472 Ω
find the difference between of the greatest and smallest 5 digit number
Answer:
Step-by-step explanation:
The largest 5-digit number is 99999 and the smallest 5-digit number is 10000. If it was mentioned that the largest unique 5-digit number then it would have been 98765 and the smallest 5-digit number would have been 10234.
Hope this answer helps you :)
Have a great day
Mark brainliest
Plz help!! I need it ASAP
Answer:
you save $500 for 7 years at 6% compounding continuously
what is the final value...
A = $500 [tex]e^{.06(7)}[/tex]
Step-by-step explanation:
How do u find the area of a kite using coordinates?
Answer:
What is the area of a kite equal to? The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.
Please help me multiply this
Answer:
(x-4y)(x-3y) ÷(x+8y)(x-8y)×(x+8y)÷3(x-3y)
=3(x-4y)÷(x-8y)
Help Please Math!!!
Find The Surface Area Of The Prism
Answer:
Surface Area=208 cm²
Step-by-step explanation:
Surface Area= 2×l×w+2×l×h+2×h×w
SA= 2×11×4+2×4×4+2×11×4=208
I need answers asappppp plz
Answer:
Step-by-step explanation:
Grant is a member of a book club. He pays a $10 yearly membership fee and can purchase books through the club for $2.75 each. His total annual cost is a function of the number of books that he purchases in a year. Let b represent the number of books he purchases in a year. Which function, C(b), represents his yearly cost
Which system is equivalent to y=-2x^2 y=x-2
a) y=-2y^2 x=y-2
b) y=-2y^2+2 x=y+2
c) y=-2y^2-8y-8 x=y+2
d) y=-2y^2+8y-8 x=y-2
Answer:
answer C
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y&=&-2x^2\\y&=&x-2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2(y-2)^2\\\end{array}\right.\\\\\\\left\{\begin{array}{ccc}x&=&y-2\\y&=&-2y^2-8y-8\\\end{array}\right.\\\\[/tex]
Explain how to know when to use mean, median, or mode as a measure of
central tendency. For each measure, give an example of a situation where the
center should be used.
Answer:
Step-by-step explanation:
Mean
The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.
Median
Arrange your numbers in numerical order.
Count how many numbers you have.
If you have an odd number, divide by 2 and round up to get the position of the median number.
If you have an even number, divide by 2.
Mode
To find the mode, or modal value, it is best to put the numbers in order. Then count how many of each number. A number that appears most often is the mode.
Segment AB is completely rotated about the y-axis to form a 3-D figure. Find the volume of the figure. The
length of AB is 6.
Answer:
The volume of the figure is 905 cubic units.
Step-by-step explanation:
Rotation is a method of solid transformation which involve turning a given line, or object about a reference point. In the given question, rotating segment AB completely about the y-axis would form a 3 dimensional figure of a sphere.
volume of a sphere = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
where r is the radius of the sphere.
Given that AB = 6, then the radius of the sphere = 6
volume of sphere = [tex]\frac{4}{3}[/tex] x [tex]\frac{22}{7}[/tex] x [tex](6)^{3}[/tex]
= [tex]\frac{88}{21}[/tex] x 216
= 905.14
volume of sphere = 905 cubic units
The volume of the figure is 905 cubic units.
A chocolate chip cookie recipe requires three and one third cups of flour to one cup of chocolate chips. If one and one quarter cups of flour is used what quantity of chocolate chips will be needed according to the recipe?
Answer:
3/40 cup
Step-by-step explanation:
3 1/3 =10/3
10/3 to 1 is 1/4 to x
i then proceeded to use the butterfly method to find the answer
Can someone help me with this math problem please?
Answer:
C
Step-by-step explanation:
g(x) is larger than f(x) and not the same size so B and D are out of question because those are translation not dilation.
f(x) is stretched in the vertical direction to get g(x). So this means the scale factor has to be greater than 1. so A is wrong.
The answer is c
Given JIH~ LMN. what is the value of LN?
Answer:
7 units
Step-by-step explanation:
In similar triangles, corresponding sides are same ratio.
[tex]\frac{LN}{JH}=\frac{LM}{JI}\\\\\frac{LN}{14}=\frac{5}{10}\\\\LN=\frac{5}{10}*14\\\\LN=7[/tex]
Find the slope of the line
Answer:
-1
Step-by-step explanation:
y = -1
At a homecoming pep rally, one student will win free tickets to the homecoming dance. There are 2,400 students attending the pep rally. The student council wants to pull the winning student’s name from a container with the school’s mascot on it. Unfortunately, the container only holds 600 names.
Which method can the student council use to ensure each student has a fair chance of winning?
A.
Randomly assign the 2,400 students to four equal groups. Select a group at random and put all the names from that group in the container. Randomly select the winner from the container.
B.
Put the names of the first 600 students who arrive at the pep rally in the bag. Randomly select the winner from the container.
C.
Select a section of the bleachers and only put the names of students sitting in that section in the container. Randomly select the winner from the container.
D.
Select a grade and only put the names of students from that grade in the container. Randomly select the winner from the container.
Answer:
A
Step-by-step explanation:
Answer A. Logically speaking there is no fair chance unless they use all the names but we can rule out C by the higher chance of students crowding, B is less likely as selecting winners from students who arrive first would be nearly the same as who bought their tickets first. D, selecting a grade excludes (estimating) around 1500 students or more from being included. A is the only logical answer left and by dividing them randomly you give everyone a full chance.
Someone plz help me and show the work 10 points!
Answer:
78°
Step-by-step explanation:
you have to add it up and then divide after multiply
3.)The lateral surface area of a right circular cylinder is 120cm² and the circumference of the bases is 12cm.Find the altitude of the cylinder
Answer:
Lateral surface area= circumference*height
120=12*h
h=10cm
Answer:
h=10 cm
Step-by-step explanation:
cicumference of a circle C=2πr=12
lateral surface area of cylinder=2πrh
120=12h
h=120/12=10 cm
Which of the following accurately describes the median of a set of data? Multiple choice question. The midpoint of the data when it is arranged in order. The difference in the largest and smallest values. The most numerous observation in a set of data. The arithmetic average of the values in the set.
Answer:
The midpoint of the data when it is arranged in order.
Step-by-step explanation:
Median can be described as the number that occurs in the middle of a set of numbers that are arranged either in ascending or descending order
For example, the median of the following set of numbers is 5
1, 2, 5, 10, 20
Range is the difference between the highest and lowest values of a set of observations
Range = highest value - lowest value
Mean is the average of a set of numbers. It is determined by adding the numbers together and dividing it by the total number
Mean = sum of the numbers / total number
If Sunil earns $3672 per month, what is his annual salary?
Answer:
$44064
Step-by-step explanation:
Sunil earns $3672 every month. To find out his annual salary, we will need to multiply this monthly salary by the number of months in a year; 12.
3672 * 12 = $44064
Write the y-intercept of the line
Answer: -2. Bc if you look on the graph of the y axis you'll see its located at -2.
Hope this helps :)
Step-by-step explanation:
mA = (4x - 2) and mzB = (11x + 17)°. Find x if the angles are
supplementary
A.) 165
B.) 180
C.) 15
D.) 11
Find UT given the base?
Answer:
19
Step-by-step explanation:
[tex] In \:\triangle HGI[/tex]
HU = UG & HT = TI (Given)
Therefore, U and T are the midpoints of sides HG and HI respectively.
So, by mid point formula:
[tex] UT = \frac{1}{2} GI \\ \\ UT = \frac{1}{2} \times 38 \\ \\ UT = 19 [/tex]
A truck was carrying 10 bags of sugar. Each bag weighed 50kg. Calculate the total mass of sugar on the truck. Write your answer in grams.
Answer:
1beg-------------50kg
10beg------------x
x=500kg to grames 500×1000=500000grams
Answer:
500000g
Step-by-step explanation:
first of you multiply the 50kg with the 10 bags
which gives 500kg
then you convert 500kg to grams
which is 500kg/1×1000g/1kg
when you cancel out the kg what is left is to multiply both sides and then you get 50000g.
Can someone help me with this math homework please!
Answer:
Step-by-step explanation:
1) (-2, 0)
2) (2 , 0)
3) (0, -4)
Help me pls‼️‼️‼️❤️❤️
Answer:
= 50%
Step-by-step explanation:
There is one point, random number = 1
There are two circles, sample space = 2
[tex]{ \tt{probability = \frac{1}{2} }} \\ { \tt{percentage = \frac{1}{2} \times 100\% }} \\ = 50\%[/tex]
Answer:
25%
Step-by-step explanation:
1. Find the area of both Circles: [tex]A = \pi r^{2}[/tex] [tex]A = \pi 2^{2}[/tex] = [tex]4\pi[/tex] [tex]A = \pi 1^{2} = \pi[/tex]
2. [tex]\frac{\pi }{4\pi }[/tex] to find the percentage
3. 0.25 = 25%
