The expected value of the net gain from selling the stock in 2 years is $-3.
What is the net gain?The net gain is the total profit from selling the stock less the total cost of buying the stock
Total cost of buying the stock = 10 x $10 = $-100
Expected selling price = (0.3 x $100 x 3) + (0.7 x$100 x 1/10) += $97
Net gain = $97 - $100= $-3
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what is the probability of drawing a king and a diamond from a standard deck of cards
Answer:
P(king or diamond) = P(king) + P(diamond) - P(king and diamond) P(king or diamond) = (4/52) + (13/52) - (1/52) P(king or diamond) = 16/52 Page 5 P(king or diamond) = 4/13.
findin the measure of each angle (3x-13)° 5x -47
The measure of each angle is 43.25 and 46.75
How to determine the measure of each angle?The attached image represents the missing piece in the question.
From the image, we can see that:
3x - 13 + 5x - 47 = 90 ---- complementary angles
Evaluate the like terms
8x = 150
Divide by 8
x = 18.75
Substitute x = 18.75 in the given angles
3x-13 = 3 * 18,75 - 13 = 43.25
5x -47 = 5 * 18.75 - 47 = 46.75
Hence, the measure of each angle is 43.25 and 46.75
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How to find area of 1 ???
Answer: 1 What???
Step-by-step explanation:
Which number is a rational number?
square root of 15
2.438346835387
17.156
cube root of 85
To divide x3y by x4y, first divide y by y to get x3/x4. Which of these would you do next to solve?
An expression is defined as a set of numbers, variables, and mathematical operations. The solution of the division of x³y by x⁴y is equal to 1/x.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The division of x³y by x⁴y can be done as,
x³y/x⁴y
= x⁽³⁻⁴⁾ y⁽¹⁻¹⁾
= x⁻¹
= 1/x
Hence, the solution of the division of x³y by x⁴y is equal to 1/x.
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can someone help me with this question
Answer:
the answer will be 1 7/3 I believe
A bag contains hair ribbons for a spirit rally. The bag contains 8 black ribbons and 12 green ribbons. Lila selects a ribbon at random, then Jessica selects a ribbon at random from the remaining ribbons. What is the probability that both Lila and Jessica select a black ribbon? Express your answer as a fraction in simplest form.
Answer:
[tex]\boxed{\sf \dfrac{14}{95}}[/tex]
Explanation:
Black ribbons = 8 ribbons
Green ribbons = 12 ribbons
Total ribbons: 12 + 8 = 20 ribbons
[tex]\sf Probability = \dfrac{Favorable \ Outcomes}{Total \ Possible \ Outcomes}[/tex]
For Lila:
[tex]\sf Lila \ picks \ black \ : \ \dfrac{8}{20}[/tex]
Left black ribbons: 8 - 1 = 7 black ribbons
Left total ribbons: 20 -1 = 19 total ribbons
For Jessica:
[tex]\sf Jessica \ picks \ black \ : \ \dfrac{7}{19}[/tex]
Probability that they both pick black ribbons:
[tex]\sf \rightarrow \dfrac{8}{20} \ x \ \dfrac{7}{19}[/tex]
[tex]\sf \rightarrow \dfrac{14}{95}[/tex]
Ms. Garcia's garden is made up of 15 corn plants and 10 squash plants. What is the ratio of the number of corn plants to the number of squash plants in Ms. Garcia's garden?
options:
A. 1:3
b.2:3
c.3:2
d. 3:1
Question:
9x - 2 = 4x + 9
Answer:
Step-by-step explanation:
9x-2=4x+9
1. 9x-4x-2=4x-4x+9 always isolate a variable which means move 4x to the other side to get 9 by its self.
2. 5x-2+2=9+2
3. 5x=11
4. 5x/5=11/5 get x by itself.
5. x=2.2
check work.
9(2.2)-2=4(2.2)+9
17.8=17.8
Characterize the slope of the line in the graph.
A gallon of milk cost 3.79. because of inflation, the price increases by 5% per year . write an equation that models the growth in the price of milk
If XYZ measures 55°, what is the measure of WZ?
a. 125°
B. 305
C. 55
D. 110°
How to find LCM by factorization method
Answer:
1. Find the prime factorization of each number.
2. Write each number as a product of primes, matching primes vertically when possible.
3. Bring down the same numbers in each column and the remaining numbers in each column.
4. Multiply the factors to get the LCM.
for example the lcm of 24 and 36
= 24 = (2 × 2 × 2 × 3) = 2^3 × 3^1
and 36 = (2 × 2 × 3 × 3) = 2^2 × 3^2
LCM(24, 36) = 2^2 × 3 × 2 × = 72
i hope my answer was helpful and please mark me as brainliest
A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the following procedures would produce a simple random sample? 1.Assign the homework questions the numbers 1-10. Use a random number table to select the first three numbers between 1 and 10. These represent the questions that will be graded. 2.Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded. 3.Assign the homework questions the numbers 01–10. Use a random number table to select the first three 2-digit numbers between 01 and 10. These represent the questions that will be graded.
3. Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.
The answer will be option D which is to Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9.
What is randomization?
Randomization allows a sample or small groups with similar characteristics to determine a probability or to hypothesize an event, that is why this type of sample is important in an experiment, that is, to carry it out in a random way.
Given that:-
A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded.
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.
Hence the answer will be option D which is to Assign the homework questions to the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9.
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question 2. write the product using exponents
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
Given expression ,
[tex] \frac{1}{8} . \frac{1}{8} .y.y.y \\ [/tex]
this can also be written as ,
[tex] \frac{1}{8} \times \frac{1}{8} \times y \times y \times y \\ \\ \longrightarrow \: \frac{y {}^{3} }{64} [/tex]
hope helpful ~
Helpppp
I'll give 50 pts
Answer:
Step-by-step explanation:
Answer:
i agree with the other anwser!!
Step-by-step explanation:
Will someone help me solve this?
sally was given a standard deck of 52 cards she randomly chose 3 cards from the deck replacing the card befor each time. what is the probability of choosing an ace, a queen, and a six?
Since Sally replaces the card after each draw, there are 52 choices for each card that can be drawn.
In a standard deck of cards, there are 4 aces. Then the probability of drawing an ace is 4/52 = 1/13. The same reasoning applies to drawing a queen or a six. Then the probability of drawing an ace, queen, and six (in that particular order) is 1/13³.
But Sally can also draw these 3 specific cards in any order to end up with the same hand. There are 3! = 6 ways of doing so:
AQ6, A6Q, QA6, Q6A, 6AQ, 6QA
That is, 3 choices for the first card; 2 choices for the second; and 1 for the third, so a total of 3 • 2 • 1 = 3! = 6 hands.
Then the probability of getting a hand consisting of an ace, queen, and six is
3! • 1/13³ = 6/2197 ≈ 0.002731
A, B & C form a triangle where Z
BAC = 90°.
AB = 3.3 mm and CA = 7.7 mm.
Find the length of BC, giving your
answer rounded to 1 DP.
Answer:
BC≈8,38
Step-by-step explanation:
AB=a
BC=c
CA=b
a²+b²=c²
3.3²+7.7²=c²
√70,18=√c²
c≈8,38
Give the following number
in Base 5.
1310 = [?]5
Expand 13 as 10 + 3.
10 = 2×5, so
13 = 2×5 + 3×1
or
13 = 2×5¹ + 3×5⁰ = 23₅
what's the answer for 3 ( x + 2) = 11+3x-5
Answer:
question is not correct
Step-by-step explanation:
3(x+2)=11+3x+5
3x+6=11+3x+5, once 3x is subjected from both sides it becomes unsolvable
Answer: Infinite solution
Step-by-step explanation: 3x + 6 = 11 + 3x - 5
-3x
6 = 11 - 5
6 = 6
A jar contains 3 green and 3 red
marbles, as shown.
Drag purple marbles to the jar to
create a situation in which the
probability of drawing a red
marble followed by another red
marble, with replacement, is 16
Answer:
1/2 this is the correct answer to the question
Here are the driving scores of 40 new drivers. make a relative frequency table for their scores:
48, 67, 62, 74, 42, 62, 60, 75, 91, 88, 48, 60, 51, 63, 57, 85, 69, 75, 97, 72,
71, 79, 84, 65, 63, 73, 46, 55, 62, 72, 80, 55, 55, 56, 83, 80, 64, 72, 83, 92
in creating the table, you will need to make some choices about how to bin the data: how many bins,
and how wide the bins should be. you may also need to make some decisions about what to do with numbers that fall in the boundary between two bins in writing up your answers be clear about how you are making these choices there is more than one reasonable way to do it so you need to be clear about which decisions you are making.
The relative frequency table is:
Class Frequency Relative frequency
40 - 50 4 0.1
50 - 60 6 0.15
60 - 70 11 0.18
70 - 80 9 0.23
80 - 90 7 0.18
90 - 100 3 0.08
What is the relative frequency table?The relative frequency measures how often a value appears relative to the sum of the total values. The class width is 10. The class width is the difference between the upper and lower boundary (e.g. 100 - 90).
Frequency is the number of times the numbers in the class interval appear in the data set. Relative frequency is the frequency of a class interval divided by the total frequency of the data set.
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Simplify the expression. Write your answer as a power.
4²*4³
The simplified expression is
Answer:
4^5
Step-by-step explanation:
When we are multiplying expressions with the same base, we add the exponents
a^b * a^c = a^(b+c)
4^2 * 4^3 = 4^(2+3) = 4^5
Help answer questions in photo!!
Find the 14th term of the geometric sequence 2, 6, 18,
Answer:
52
Step-by-step explanation:
estimate the perimeter and the area of the shaded figure to the nearest whole number
Answer:
See below ~
Step-by-step explanation:
Perimeter
2(6 + 8)2(14)28 unitsArea
2(4 x 2) + 2(8)4(8)32 square unitsis the only plane shape in which every point on the figure is the exact same distance from the center.
The only plane shape in which every point on the figure is the exact same distance from the center is; The Circle
How to Identify a Circle?
There are different types of plane shapes such as Square, rectangle, Circle, Trapezoid, Parallelogram, Rhombus, Kite, Triangle e.t.c.
Now, Except for the circle and Triangle, every other listed plane shape above is a quadrilateral because they have 4 sides. Now, no quadrilateral has all its' sides equal from the center. Likewise, no triangle has all its' sides equal from the center.
The only plane shape with all its' sides equal from the center is the circle because the radius is equal all through.
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What is the interquartile range of the set of data this box-and-whisker plot represents?
The interquartile range = upper quartile - lower quartile = 18 - 15 = 3 (option A).
What is Interquartile Range (IQR)?The interquartile range (IQR) of a data = upper quartile - lower quartile.
In the box-and-whisker plot given:
Upper quartile = 18Lower quartile = 15Interquartile range (IQR) = 18 - 15Interquartile range (IQR) = 3Learn more about the interquartile range on:
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Suppose 60% of a herd of cattle is infected with a particular disease. let p = the number of non diseased cattle in a sample of size 5. the distribution of y is
The distribution of y is [tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]
How to determine the distribution?The given parameters are:
Probability of success, p = 60%
Sample size, n = 5
The distribution of y is represented as:
[tex]P(y) = ^nC_y * p^y * (1 - p)^{n-y}[/tex]
So, we have:
[tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]
Hence, the distribution of y is [tex]P(y) = ^5C_y * (60\%)^y * (1 - 60\%)^{5-y}[/tex]
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helppppppppppppppppppp!!!!!!!!
The answer is C.
Step-by-step explanation:
I can't explain but I literally just did this question and I got it right