Lesson 8: Binomial Distributions
1. a. 91%
2. a. 5.1%
3. c. s^5-25s^4v+250s^3v^2-1250s^2v^3+3125sv^4-3125v^5
4. d. 55.8%
A total of 100 students play on the Sports Academy’s soccer, track, or basketball teams. No student plays on more than one team. 61 of the students are boys. There are 36 students on soccer teams, 19 are on the girls’ soccer team. There are 35 students on basketball teams, 18 are on the boys’ basketball team. How many boys are on the track team?
There are 17 boys on the soccer team, 18 on the basketball team, and by subtracting the 35 boys playing these sports from the total of 61 boys, we find that there are 26 boys on the track team.
To find out how many boys are on the track team, we can start with the total number of boys, which is 61, and subtract the number of boys in the other two teams. We know that there are 36 students on the soccer teams, and 19 of them are girls, which means that 36 - 19 = 17 boys are on the soccer team. Next, there are 35 students on the basketball teams, and 18 of them are boys; thus we have 35 - 18 = 17 girls on the basketball team.
Now, let's add up the number of boys on the soccer and basketball teams to find out how many boys are left for the track team. The equation is 17 (soccer) + 18 (basketball) = 35 boys who are playing sports other than track. Finally, to get the number of boys on the track team, we subtract this sum from the total number of boys: 61 (total boys) - 35 (boys in other sports) = 26. This means that there are 26 boys on the track team.
A credit card advertises an annual interest rate of 23%.
What is the equivalent monthly interest rate?
i=__^_t
the monthly rate is:
[1 + 23%]^(1/12) =1.23^(1/12) =1.0174 - 1 x 100 =1.74%
Glamour runs 2/3 mile each day she wants to know how many days she has to run before she has run a whole number of miles
1000p for an answer please
Is the number written in scientific notation? If not, explain.
a. 0.15 x 104
b. 7.06 x 10−8
c. 3.3 x 10012
The second example (7.06 x 10^-8) is correctly written in scientific notation, but the first (0.15 x 10^4) and third (3.3 x 100^12) examples are not. In scientific notation, the decimal part of the number should be between 1 and 10 and the exponent of 10 should be an integer.
Explanation:The topic is scientific notation. The number is expressed in scientific notation if it has the form a × 10^n, where 1 ≤ |a| < 10 and n is an integer.
Let's see if the given numbers are in scientific notation:
0.15 x 10^4 - No, this is not in scientific notation. The decimal part of the number, 0.15, is not between 1 and 10.7.06 x 10^−8 - Yes, this is correctly written in scientific notation. The decimal part of the number, 7.06, is between 1 and 10 and the power of 10 is an integer.3.3 x 100^12 - No, this is not in scientific notation. The power of 10 is supposed to be a straight integer, not another exponential number.Learn more about Scientific Notation here:https://brainly.com/question/16936662
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option b ( 7.06 x 10⁻⁸)
a. 0.15 x 104
No, this number is not written in proper scientific notation.
In scientific notation, the coefficient must be a number between 1 and 10.
So, 0.15 can be expressed as 1.5 by moving the decimal point one place to the right.
Hence, it should be written as 1.5 x 103.
b. 7.06 x 10-8
Yes, this number is written in proper scientific notation.
The coefficient, 7.06, is correctly between 1 and 10.
c. 3.3 x 10012
No, this number is not written correctly due to the format of the exponent.
The correct form should be 3.3 x 1012.
So, the corrected scientific notation is 3.3 x 1012.
What is the inverse of f(x) = 8x - 7
The inverse of the function f(x) = 8x - 7 can be found by switching the x and y, then solving for y. This gives the inverse function as f^-1(x) = (x + 7) / 8.
Explanation:The inverse of a function is calculated by switching the input and output variables. Given your question, we are to find the inverse of the function f(x) = 8x - 7. To do this, we first rename f(x) as y, giving us y = 8x - 7.
Next, we switch the positions of x and y, leading to x = 8y - 7. Then, to isolate y which represents the inverse function, we should solve the equation for y: x + 7 = 8y and y = (x + 7) / 8. So, the inverse of the function f(x) = 8x - 7 is f^-1(x) = (x + 7) / 8.
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Which expression represents the total surface area, in square meters, of the rectangular pyramid below?
Answer:
B
Step-by-step explanation:
:)
Your sock drawer has 3 pairs of black socks, 4 pairs of brown socks, 1 pair of yellow socks and 5 pairs of blue socks. you reach into the drawer in the dark and randomly pick out 2 pairs for your business trip. what is the probability your pick out in this order. 2 black pairs?
The probability your pick out in this order 2 black pairs 1/26.
What is the probability?
Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in Mathematics to predict how likely events are to happen. The meaning of probability is basically the extent to which something is likely to happen. This is the basic probability theory.
According to the question,
The sock drawer has 3 pairs of black socks, 4 pairs of brown socks, 1 pair of yellow socks and 5 pairs of blue socks.
All socks together = 3+4+5 = 13
Black socks = 3
Probability to pick out black socks: 3/13
After one pick out (You picked out a pair of black socks),
Probability to pick out black socks: 2/12
Then, the probability = 2/12 × 3/13 = 1/26.
Hence the required probability = 2/12 × 3/13 = 1/26.
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What is the distance between the points (5, 7) and (-3, 4) on the coordinate plane?
Answer:
Option B [tex]8.54\ units[/tex]
Step-by-step explanation:
we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
Let
[tex]A(5,7)\\E(-3.4)[/tex]
substitute the values
[tex]dAB=\sqrt{(4-7)^{2}+(-3-5)^{2}}[/tex]
[tex]dAB=\sqrt{(-3^{2}+(-8)^{2}}[/tex]
[tex]dAB=\sqrt{73}=8.54\ units[/tex]
Select the ratios whose simplest form is 8/7
Answer:
48:42
16:14
56:49
Step-by-step explanation:
I hope I made your day
A 3 lb bag of one brand of cat food costs $3.52. A 6 lb bag of another brand costs $6.80. Which brand is cheaper per pound?
Which of the following rational numbers is equal to 3.4? (line above the four)
A: 31/9
B. 32/9
C. 33/9
D. 34/9
Answer:
I believe the answer is A, out of all numbers, it seems to be the closest to 3.4.
Step-by-step explanation:
need help !!!Divide 5a^2 + 6a - 9 into 25a^4 + 19a^2 - a - 78.
A scientist has 350 mg of a radioactive material. The material will cut in half every month. After how many months will there be .68mg left?
For a given right triangle side a =490 feet and side b = 960 feet
Darcy deposited $390 into a savings account. As long as the account balance remains at or above $150, she does not have to pay a service fee for the account. For how many months can she withdraw $40 a month without having to pay service fees?
The number of months that she can withdraw $40 is 6 months.
How many times can she withdraw $40?
The equation that can be used to determine the number of times she can withdraw $40 and still have at least $150 is:
$150 = $390 - $40x
Where: x is the number of withdrawals
In order to determine the value of x, take the following steps
Combine similar terms: $390 - $150 = $40x
Add similar terms: $240 = $40x
Divide both sides of the equation by $40
x = 6
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Which solid has six faces, four lateral faces, two bases, eight vertices, and 12 edges? square pyramid triangular prism rectangular prism triangular pyramid
Answer:
Rectangular Prism
Step-by-step explanation:
the distance between between two distinct points on number line is always greater than zero?
true or flase,
A recipe cal for 2 1/2 cups of flour to make 2 dozen cookies.How many cups of flour would be required to bake 15 dozen cookies
please help me
how many perpendicular bisectors can be constructed for a line segment?
a.) 0
b.) 1
c.) 2
d.)infinitely many,
what is the inverse and then graph the function and its inverse f(×)=-5n-14
I confused on how to solve these trigonometric ratios.
Stacy fails 1/2 cup measuring cup seven times to have enough flour for cake recipe how much flour does the cake recipe call for
HELP WITH THESE SERIES OF QUESTIONS!!
1. Factor the polynomial. 3x^3 − 27x^2 + 19
2. Factor the polynomial. 15z^3 + 25z^2
3. Factor the polynomial. 9x^7 + 33x^3
Michelle, Jennifer, and Betty volunteered to make cupcakes for a school fundraiser. They've been asked to make 100 cupcakes. Michelle can make 6 cupcakes in an hour. Jennifer can make 18 cupcakes in two hours. Betty can make 24 cupcakes in two hours. How long will it take to make 100 cupcakes if they work together?
A. 3 19/27 Houurs
B. 2 2/9 Hours
C. 4 1/6 Hours
D. 1 23/27 Hours
Final answer:
Michelle, Jennifer, and Betty have a combined rate of 27 cupcakes per hour. To make 100 cupcakes, it will take them 100 divided by 27, which equals 3 19/27 hours. The correct answer is A. 3 19/27 hours.
Explanation:
To determine how long it will take Michelle, Jennifer, and Betty to make 100 cupcakes together, we first need to find their individual rates of production.
Michelle makes 6 cupcakes per hour.
Jennifer makes 18 cupcakes in 2 hours, which is equivalent to 9 cupcakes per hour.
Betty makes 24 cupcakes in 2 hours, which is equivalent to 12 cupcakes per hour.
Adding these rates together gives us a combined rate of:
6 + 9 + 12 = 27 cupcakes per hour.
To find the time it takes to make 100 cupcakes, we divide the total number of cupcakes by the combined rate:
100 cupcakes ÷ 27 cupcakes/hour = 3 19/27 hours.
Therefore, the correct answer is A. 3 19/27 hours.
1. _____is when an asset increases in value.
~depreciation
~appreciation
~inflation
~purchasing power
2. when money loses some of its value over time, it is caused by_____
-inflation
-FICA
-purchasing power
-recalculating worth
ive tried i need help @bibby @phi someone :( @SolomonZelman,
1) Appreciation is when an asset increases in value.
2) When money loses some of its value over time, it is caused by inflation
The appreciating assets is any asset which value is increasing it is a an increased demand.
Therefore,
When value of assets increases in value?
Appreciation
1) Appreciation is when an asset increases in value.
Next,
The impact inflation has on the time value of money is that decrease the value of dollar over time.
Therefore,
2) When money loses some of its value over time, it is caused by inflation
Therefore,
1) Appreciation is when an asset increases in value.
2) When money loses some of its value over time, it is caused by inflation
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what is 62% of 25 ?
im horrible at this plz help
Solve for x.
2x = 15 + x
The solution to the equation is x = 15.
We have,
To solve the equation 2x = 15 + x, we want to isolate the variable x on one side of the equation.
First, we can simplify the equation by subtracting x from both sides:
2x - x = 15 + x - x
This simplifies to:
x = 15
Thus,
The solution to the equation is x = 15.
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How do I solve these trigonometric equations!!?
Find all solutions in the interval [0, 2π).
(sin x)(cos x) = 0
Find all solutions in the interval [0, 2π).
cos2x + 2 cos x + 1 = 0
Find all solutions to the equation.
cos2x + 2 cos x + 1 = 0
(I am not looking for easy answers to cheat, I just need help on how to solve them...Im a bit confused and my teacher is not avail),
solving the whole thing