The theoretical probability of selecting a consonant at random from a list of
letters in the alphabet is 21. Wayne opens a book, randomly selects a letter on
the page, and records thé fetter. He repeats the experiment 200 times. He Fins
(consonant) = 60%. How does the theoretical probability differ from the
experimental probability? What are some possible sources for this discrepancy?
Vowels = {a, e, i, o, u}
There are 5 vowels out of 26 letters in the English alphabet. This leaves 26-5 = 21 consonants.
The theoretical probability of getting a consonant is 21/26 = 0.8077 = 80.77% approximately
Wayne found the empirical probability of a consonant as 60% which is quite a distance away from the 80.77% mentioned. The discrepancy is likely because vowels are tended to be used quite often in many words.
Words that are composed of consonants only are quite rare, but they do happen. Example: "fly" is a word with only consonants. I'm considering y to be a consonant.
Consider two circular swimming pools. Pool A has a radius of 18 feet, and Pool B has a diameter of 11.16 meters. Complete the description for which pool has a greater circumference. Round to the nearest hundredth for each circumference. 1 foot ≈ 0.305 meters
The diameter of Pool A is
17.24
meters. So, the diameter of Pool
A
is greater, and the circumference is
greater
by
meters.
Answer:
The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters
Step-by-step explanation:
Identify the diameter of Pool A.
d = 2r
d = 2(18) Substitute 18 for r.
d = 36 ft
Convert from feet to meters. Use the ratio of 1 foot to 0.305 meters.
36 × 0.305 = 10.98
The diameter of Pool A is about 10.98 meters.
Use the formula to find the circumference of Pool A.
C = πd
C = π(10.98) Substitute 10.98 for d.
C ≈ 3.14(10.98) Substitute 3.14 for π.
C ≈ 34.48 Multiply. Round to the nearest hundredth.
The circumference of Pool A is about 34.48 meters.
Identify the diameter of Pool B.
d = 11.16 m
The diameter of Pool B is 11.16 meters.
Use the formula to find the circumference of Pool B.
C = πd
C = π(11.16) Substitute 11.16 for d.
C ≈ 3.14(11.16) Substitute 3.14 for π.
C ≈ 35.04 Multiply. Round to the nearest hundredth.
The circumference of Pool B is about 35.04 meters.
The circumference of Pool B is greater than the circumference of Pool A.
Find how much greater the circumference of Pool B is compared to the circumference of Pool A.
35.04 − 34.48 = 0.56
The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters.
Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3
kid's meal for his little brother. Charlie has $27. How much can he spend on
each sandwich if they are all the same price?
A six-sided die is rolled seven times. What is the probability that the die will show an even number at least six times?
Answer:
Step-by-step explanation:
Explanation
On a 6 sided die, there are three even numbers (2,4,6)
That's 1/2 the number on the die.
So getting 6 even numbers is
P(6) = 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 * 1/2 = 0.00781
Where did that extra 1/2 come from? Well one of the numbers thrown was an odd number, and it has to be counted.
P(7) = the same answer. 0.00781
Total 0.0156
1. Simplify .........
Answer:
Pretty sure it would be sin(0) cos (0) - sin^2(0)
What is the difference of the means of the distributions?
The different of the means of the distribution will be 15. Then the correct option is A.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
the graph is shown below.
Then the different of the means of the distribution will be
⇒ 45 - 30
⇒ 15
Then the correct option is A.
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answer?...............
Step-by-step explanation:
please mark me as brainlest
What is the median pumpkin weight?
Answer:
median = 15Step-by-step explanation:
By reading the box plot :
The median is the number that corresponds to the line in the center of the box which is 15 in our case.
A car with an initial value of $25,000is decreasing at a rate of 4% each other.at this rate,what Willy eh value be of the car after 5years?
Answer:
$ 20384.32
Step-by-step explanation:
Decreasing by 4 % each year means it retains 96 %
25 000 ( .96)^5 = 20384.32
According to a study, 45% of americans have type o blood. if a random number generator produces three-digit values from 000 to 999, which values would represent those having type o blood
The values that represent those having type O blood are the values from 000 to 449.
How to determine what range of the RNG should we use?
RNG refers to a random number generator, this means that from 000 to 999 (a total of 1000 numbers) each has the same probability of being randomly selected by the program.
Then, if we want to represent a probability of the 45%, then 0.45 of the number of elements must be assigned to what we want to represent (having type O blood).
0.45*1000 = 450
Then we can assign the first 450 numbers to have type O blood, the first 450 numbers are: {000, 001, ..., 449}
So the values that represent those having type O blood are the values from 000 to 449.
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Is the solution to the quadratic equation written below rational or irrational? Justify your answer.
0 = 2x² + 3x - 10
Answer:
irrational
Step-by-step explanation:
It cant be square rooted perfectly.
i donnt know ..............
Answer:
7
Step-by-step explanation:
[tex]\dfrac 13(15+6)\\\\\\=\dfrac{21}3\\\\\\=7[/tex]
Using complete sentences, describe how the variable h and the variable k of the general formula for a cube root function effects the graph. The general formula is y=a^3√ x-h+k
Using translation concepts, it is found that the variables h and k affect the graph of the function as follows:
The function is shifted h units to the right.The function is shift k units up.What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we consider the parent cube root function as follows:
[tex]y = \sqrt[3]{x}[/tex]
Then, these following changes happened:
x -> x - h, which means that the function was shifted h units to the right.y -> y + k, which means that the function was shifted k units up.More can be learned about translation concepts at https://brainly.com/question/4521517
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Suppose that 60% of the students do homework regularly. It is also known that 80% of students who had been doing homework regularly, end up doing well in the course. Only 20% of students who had not been doing homework regularly end up doing well in the course. Given that a student did well in the course, what is the probability that the student had been doing homework regularly
Answer:
its A im really smart and because im smart
1) the length of a rectangle is equal to triple the width. if the perimeter of the rectangle is 86 centimeters, what
are its dimensions?
Step-by-step explanation:
the perimeter is
2×length + 2×width = 86
length = 3×width
now we use the second equation as variable identity in the first equation :
2×3×width + 2×width = 86
6×width + 2×width = 86
8×width = 86
width = 86/8 = 43/4 = 10.75 cm
length = 3×width = 3×10.75 = 32.25 cm
What is the contrapositive of the statement below?
x⇒y
Answer:
Answer: A. The contrapositive of the statement will be :
Step-by-step explanation:
The contrapositive of an if-then statement "p then q' is given by :
"If not q then not p".
The given statement is
Then the contrapositive of the statement will be :
Hence, A is the right option.
Write 4.135 as a fraction write f as a fraction don't worry about simplifying
Answer:
827/200
Step-by-step explanation:
Can't explain, it is I think.
4(9^0+48(2)^-3)
Please explain how
Answer:
4(9^0+48(2)^-3) I think it's like this
PLEASE HELP
good answer gets brainliest
Answer:
50
Step-by-step explanation:
90+40= 130
There are 180 degrees in a triangle.
180- 130 = 50
Solve the equation for x
z=m+x-y a)x=-z+m+y b)x=z-m+y c)x=z+m-y d)x=z+y+m
Answer:
x = z - m + y
Step-by-step explanation:
Given:
[tex]\displaystyle \large{z = m+x-y}[/tex]
To solve for x-term, we have to isolate it. We can do by subtracting m-term both sides and add y-term both sides.
[tex]\displaystyle \large{z-m+y=m+x-y-m+y}\\\\\displaystyle \large{z-m+y=x}\\\\\displaystyle \large{x=z-m+y}[/tex]
Therefore, the answer to this question is x = z - m + y
Please let me know if you have any questions regarding my answer or explanation!
PLEASE HELP ASAP
i couldn’t get it to write correctly so I inserted photo
Question 3
the stock market crash of 1929 saw many share prices collapse to a fraction of their previous value. the worst period for this were the two
days monday, october 28 and tuesday, october 29 in which the dow jones industrial average dropped by a total of 25% to a value of 198
points. what was its value before the 2-day drop?
Using proportions, it is found that it's value before the 2-day drop was of 264 points.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the value dropped by 25%, that is, it was 75% of the original amount, and the dropped value was of 198 points, hence the original amount was:
0.75x = 198
x = 198/0.75
x = 264
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Find the value of x.
please help
Check the picture below.
Under what condition,the determinant of a matrix is possible?
Answer:
There are three condition, where determinant can be zero. If the complete row of a matrix is zero. If any row or column of a matrix is the constant multiple of another row or column. If any two rows or columns are equal.If all the elements of a row (or column) are zeros, then the value of the determinant is zero. ) is 1.
Step-by-step explanation:
20. Solve 3(5x − 4) < 15x.
All Real Numbers
x>-4
x<4
no solution
Answer:
No solution
Step-by-step explanation:
[tex]3(5x - 4) < 15x \\ 15x - 12 < 15x \\ 15x - 15x < 12 \\ 0 < 12[/tex]
Ernest’s favorite lunch is a turkey, lettuce, and tomato sandwich Ernest can make the sandwich using either white bread or wheat bread Sometimes he adds cheese, pickles, or mayonnaise in any combination, but other times he doesn’t add anything Ernest says that there are 8 different ways to make his favorite sandwich Is he correct? Explain
Answer:
Ernest is wrong, because the sandwich can be made in 6 different ways (lunch > sandwich: white bread > cheese, pickles, mayonnaise ; wheat bread > cheese, pickles, mayonnaise) and the lunch can be made in 8 different ways.
5 hockey pucks and three hockey sticks cost $23. 5 hockey pucks and 1 hockey stick cost $20. How much does 1 hockey puck cost?
Answer:
$3.65
Step-by-step explanation:
The two purchases describe relations between quantity and price that can be used to write a system of equations for the prices of the hockey pucks and hockey sticks. These equations can be solved to find the price of a hockey puck.
__
setupLet x and y represent the prices of a hockey puck and a hockey stick, respectively. The two purchase values are ...
5x +3y = 23.50
5x +y = 20.00
solutionRearranging the second equation, we have an expression for y:
y = 20.00 -5x . . . . . . subtract 5x from both sides
Substituting this into the first equation gives ...
5x +3(20.00 -5x) = 23.50 . . . . . substitute for y
-10x +60.00 = 23.50 . . . . . . simplify
x -6.00 = -2.35 . . . . . . . . divide by -10
x = 3.65 . . . . . . . . . . . add 6
One hockey puck costs $3.65.
Which equation is equivalent to 19x+12y=17?
y=−19/12x+17/12y
y=−19x+17
y=−17/12x+19/12
y=19/12x+17/12
19x+12y=17
step 1: move the thing that you're looking for to the left side and all the rest to the right side:
(19x +12y)-19x = 17 -19x
12y = 17 -19x
step 2: to find y, you need to get rid of 12. to do so you need to devide everything by that number:
(12y)/12 = 17/12 -19/12 x
y= 17/12 -19/12 x
step 3: simplify of possible. ( in this exercise it isnt)
step 4: rearange the equation if necessary
y= 17/12 + -19/12x
y= -19/12x + 17/12
What is the value of 4 in 27.43?
Answer: Tenths
Step-by-step explanation:
What are the coordinates of the image of vertex G after
a reflection across the line y = x?
O (-4,-5)
O (4, 5)
O (-5,4)
O (5, 4)
Answer:
(- 5, 4 )
Step-by-step explanation:
under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
G (4, - 5 ) → G' (- 5, 4 )
The coordinates of the image of vertex G are (-5, 4)
What is line of reflection?When reflecting a figure in a line or in a point, the image is congruent to the pre image. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.
here, we have,
Let us revise some cases of reflection
If the point (x, y) reflected across the x-axis , then its image is (x, -y)
If the point (x, y) reflected across the y-axis , then its image is (-x, y)
If the point (x, y) reflected across the line y = x , then its image is (y, x)
If the point (x, y) reflected across the line y = -x , then its image is (-y, -x)
From the given figure
∵ The line of the reflection is y = x
→ That means we will switch the coordinates of the point to find its image
∵ The coordinates of vertex G are (4, -5)
∴ The x-coordinate = 4 and the y-coordinate = -5
→ Switch the two coordinates
∴ The coordinates of its image G' are (-5, 4)
∴ The coordinates of the image of vertex G are (-5, 4)
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