The left page number is 180 and the right page number is 181.
What is consecutive integers?
Consecutive integers or consecutive numbers are the terms used to describe the sequence of numbers. In this case, the integers are arranged in ascending order from smallest to highest. The following are a few examples: -4, -3, 2, 1, 0, 1, 2, 3, 4.
Given:
The left and right page numbers of an open book are two consecutive interfere whos sum is 361.
We have to find the page numbers.
Let
The left page number is n.
The right page number is n + 1.
As the sum of numbers is 361.
⇒ n + (n + 1) = 361
2n + 1 = 361
2n = 360
n = 180
Hence, the left page number is 180 and the right page number is 181.
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Find the z-score boundaries that separate a normal distribution as described in each of the following. a. The middle 20% from the 80% in the tails. b. The middle 50% from the 50% in the tails. c. The middle 95% from the 5% in the tails. d. The middle 99% from the 1% in the tails.
Answer:
a) The boundaries are [tex]Z = \pm 0.253[/tex]
b) The boundaries are [tex]Z = \pm 0.675[/tex].
c) The boundaries are [tex]Z = \pm 1.96[/tex].
d) The boundaries are [tex]Z = \pm 2.575[/tex].
Step-by-step explanation:
Z-score:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
a. The middle 20% from the 80% in the tails.
The middle 20% is between the 50 - (20/2) = 40th percentile and the 50 + (20/2) = 60th percentile:
40th percentile: Z has a pvalue of 0.4, so Z = -0.253.
60th percentile: Z has a pvalue of 0.6, so Z = 0.253.
The boundaries are [tex]Z = \pm 0.253[/tex].
b. The middle 50% from the 50% in the tails.
The middle 50% is between the 50 - (50/2) = 25th percentile and the 50 + (50/2) = 75th percentile:
25th percentile: Z has a pvalue of 0.25, so Z = -0.675.
75th percentile: Z has a pvalue of 0.75, so Z = 0.675.
The boundaries are [tex]Z = \pm 0.675[/tex].
c. The middle 95% from the 5% in the tails.
The middle 95% is between the 50 - (95/2) = 2.5th percentile and the 50 + (95/2) = 97.5th percentile:
2.5th percentile: Z has a pvalue of 0.025, so Z = -1.96.
97.5th percentile: Z has a pvalue of 0.975, so Z = 1.96.
The boundaries are [tex]Z = \pm 1.96[/tex].
d. The middle 99% from the 1% in the tails.
The middle 99% is between the 50 - (99/2) = 0.5th percentile and the 50 + (99/2) = 99.5th percentile:
0.5th percentile: Z has a pvalue of 0.005, so Z = -2.575.
99.5th percentile: Z has a pvalue of 0.995, so Z = 2.575.
The boundaries are [tex]Z = \pm 2.575[/tex].
A z-core is also referred to as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.
In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:
[tex]Z=\frac{x\;-\;u}{\delta}[/tex]
Where:
x is the observed data.u is the mean.[tex]\delta[/tex] is the standard deviation.a. A middle 20% from the 80% in the tails.
Note: The middle 20% is between the 40th percentile and 60th percentile.
40th percentile (p-value = 0.4) and Z = -0.253.60th percentile (p-value = 0.6) and Z = 0.253.Z = [tex]\pm 0.253[/tex]
b. A middle 50% from the 50% in the tails.
Note: The middle 50% is between the 25th percentile and 75th percentile.
25th percentile (p-value = 0.25) and Z = -0.675.75th percentile (p-value = 0.75) and Z = 0.675.Z = [tex]\pm 0.675[/tex]
c. A middle 95% from the 5% in the tails.
Note: The middle 95% is between the 2.5th percentile and 97.5th percentile.
2.5th percentile (p-value = 0.025) and Z = -1.96.97.5th percentile (p-value = 0.975) and Z = 1.96.Z = [tex]\pm 1.96[/tex]
d. A middle 99% from the 1% in the tails.
Note: The middle 99% is between the 0.5th percentile and 99.5th percentile.
0.5th percentile (p-value = 0.025) and Z = -2.575.99.5th percentile (p-value = 0.975) and Z = 2.575.Z = [tex]\pm 2.575[/tex]
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Can somebody help me with this one?
Simplify the expression. 4x - 2(x - 6) - X
Answer:
Step-by-step explanation:
4x-2(x-6)-x=4x-2x-x+12
=x+12
Answer:
− X − 1.6 x + 12
A large university accepts 60% of the students who apply. Of the students the university accepts, 30% actually enroll. If 30,000 students apply, how many actually enroll?
Answer:
Your answer is
60% apply means 30k *0.6= 18000
30% enroll so,.0.3*18k = 5400
Want more answer then follow me, like and MARK MY ANSWER AS BRAINLIST ANSWER.
I need that urgently.
Answer:
5400 students
Step-by-step explanation:
well 60% of 30000 would be 18000 which is the amount who gets accepted. 30% of 18000 would be who actually enrolls
Consider a sample with data values of 27, 24, 21, 16, 30, 33, 28, and 24. Compute the 20th, 25th, 65th, and 75th percentiles. 20th percentile 20 Correct: Your answer is correct. 25th percentile 21 Incorrect: Your answer is incorrect. 65th percentile 27.5 Incorrect: Your answer is incorrect. 75th percentile 28 Incorrect: Your answer is incorrect.
Answer:
[tex]P_{20} = 20[/tex] --- 20th percentile
[tex]P_{25} = 21.75[/tex] --- 25th percentile
[tex]P_{65} = 27.85[/tex] --- 65th percentile
[tex]P_{75} = 29.5[/tex] --- 75th percentile
Step-by-step explanation:
Given
27, 24, 21, 16, 30, 33, 28, and 24.
N = 8
First, arrange the data in ascending order:
Arranged data: 16, 21, 24, 24, 27, 28, 30, 33
Solving (a): The 20th percentile
This is calculated as:
[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]
[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]
[tex]P_{20} = 20 * \frac{9}{100}[/tex]
[tex]P_{20} = \frac{20 * 9}{100}[/tex]
[tex]P_{20} = \frac{180}{100}[/tex]
[tex]P_{20} = 1.8th\ item[/tex]
This is then calculated as:
[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]
[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]
[tex]P_{20} = 16 + 0.8*5[/tex]
[tex]P_{20} = 16 + 4[/tex]
[tex]P_{20} = 20[/tex]
Solving (b): The 25th percentile
This is calculated as:
[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]
[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]
[tex]P_{25} = 25 * \frac{9}{100}[/tex]
[tex]P_{25} = \frac{25 * 9}{100}[/tex]
[tex]P_{25} = \frac{225}{100}[/tex]
[tex]P_{25} = 2.25\ th[/tex]
This is then calculated as:
[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]
[tex]P_{25} = 21 + 0.25(24-21)[/tex]
[tex]P_{25} = 21 + 0.25(3)[/tex]
[tex]P_{25} = 21 + 0.75[/tex]
[tex]P_{25} = 21.75[/tex]
Solving (c): The 65th percentile
This is calculated as:
[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]
[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]
[tex]P_{65} = 65 * \frac{9}{100}[/tex]
[tex]P_{65} = \frac{65 * 9}{100}[/tex]
[tex]P_{65} = \frac{585}{100}[/tex]
[tex]P_{65} = 5.85\th[/tex]
This is then calculated as:
[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]
[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]
[tex]P_{65} = 27 + 0.85(1)[/tex]
[tex]P_{65} = 27 + 0.85[/tex]
[tex]P_{65} = 27.85[/tex]
Solving (d): The 75th percentile
This is calculated as:
[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]
[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]
[tex]P_{75} = 75 * \frac{9}{100}[/tex]
[tex]P_{75} = \frac{75 * 9}{100}[/tex]
[tex]P_{75} = \frac{675}{100}[/tex]
[tex]P_{75} = 6.75th[/tex]
This is then calculated as:
[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]
[tex]P_{75} = 28 + 0.75(30- 28)[/tex]
[tex]P_{75} = 28 + 0.75(2)[/tex]
[tex]P_{75} = 28 + 1.5[/tex]
[tex]P_{75} = 29.5[/tex]
The graph of the function f is shown. f(5) =
9514 1404 393
Answer:
f(5) = 0
Step-by-step explanation:
At x=5, the graph is on the x-axis, so the function value is 0 at that point.
f(5) = 0
pedro y louis tiene 30 cromos. louis le dice a pedro 'dame 8 cromos para tener los mismos que tu'
cuantos cromos tiene cada uno.
Answer:
Pedro tiene 23 cromos y Luis 7.
Step-by-step explanation:
Sabemos que Pedro y Luis tienen (entre ambos) 30 cromos.
Definamos:
P = número de cromos que tiene Pedro
L = número de cromos que tiene Luis.
Entonces P + L = 30
Y sabemos que si Pedro le da 8 cromos a Luis, entonces ambos van a tener la misma cantidad de cromos.
Cuando Pedro da 8 cromos, el va a tener P - 8 en total
Cuando Luis recibe 8 cromos, el va a tener L + 8 en total
Entonces: P - 8 = L + 8
Tenemos dos ecuaciones:
P + L = 30
P - 8 = L + 8
Esto es un sistema de ecuaciones, para resolverlo el primer paso es aislar una variable en una de las ecuaciones, yo voy a aislar P en la primera:
P = 30 - L
Ahora podemos reemplazar esto en la otra ecuación para obtener:
(30 - L) - 8 = L + 8
Y podemos resolver esto para L.
30 - L - 8 = L + 8
22 - L = L + 8
22 - 8 = L + L
14 = 2*L
14/2 = L
7 = L
Entonces Luis tiene 7 cromos, y reemplazando esto en cualquiera de las dos ecuaciones que teníamos originalmente podemos encontrar el valor de P.
P + L = 30
P + 7 = 30
P = 30 - 7 = 23
Pedro tiene 23 cromos.
rename 2 6/12 as a mixed number with a fraction greater than 1.
HURRY WILL MARK AS BRAINLIEST IF CORRECT
Answer:
The nuber of cells double
Step-by-step explanation:
The cyroplasmic or cytokinesis is the divison of cells at the end of mitosis bringing the seperation to become 2 daughter cells.
Consider these functions
f(x) = 4x^3 - 10
3x - 4
g(x) = _______
2
What is the value of g(f(2))
A. -6
B. 2
C. 19
D. 31
==========================================================
Explanation:
The expression g(f(2)) has f(2) as the inner function.
Let's compute f(2)
This means we plug x = 2 into the f(x) function
f(x) = 4x^3 - 10
f(x) = 4(x)^3 - 10
f(2) = 4(2)^3-10
f(2) = 4*8-10
f(2) = 32-10
f(2) = 22
Now we'll plug this into the g(x) function
This is because g(f(2)) = g(22). I've replaced f(2) with 22
So,
g(x) = (3x-4)/2
g(22) = (3*22-4)/2
g(22) = (66-4)/2
g(22) = 62/2
g(22) = 31
Therefore, g(f(2)) = 31
The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
f(x) = 4x³ - 10
g(x) = (3x - 4) / 2
The function g(f(x)) is written as,
g(f(x)) = [3(4x³ - 10) - 4] / 2
g(f(x)) = [12x³ - 30 - 4] / 2
g(f(x)) = [12x³ - 34] / 2
g(f(x)) = [6x³ - 17]
The value of the function g(f(x)) at x = 2 will be given as,
g(f(2)) = [6(2)³ - 17]
g(f(2)) = 6(8) - 17
g(f(2)) = 48 - 17
g(f(2)) = 31
The value of the function g(f(x)) at x = 2 will be 31. Then the correct option is D.
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A gym teacher placed golf balls into 9
buckets so that each bucket had at least 15
balls. How many total golf balls are there?
How do you find the square root of -24 by simplifying
Answer:
you can't square root with negative numbers the answer will be math error and you cant simplify it unless it has no negative in it.
Use the epression to answer the question.
24-6×6÷4
What is the value of the epression?
A. 3
B. 15
C. 20
D. 27
Answer:
The answer is B.
Step-by-step explanation:
To subtract fractions, find the LCD and then combine.
So the answer is 15.
Hope this helps :)
-ilovejiminssi♡
Write an equation of the line that passes through the pair of points.
(-4. - 2). (4.0)
First find the slope between the 2 points
0--2/4--4
=2/8
=1/4
Then y=1/4 x+b
Now substitute one pair of x and y into the equation
0=1/4*4+b
b=-1
So y=1/4x-1
Done!
On Friday, a local hamburger shop sold a combined total of 308 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Friday?
Answer:
77
Step-by-step explanation:
x = hamburgers
3x = cheeseburgers
3x + x = 308
4x= 308
x = 77
Answer:
77
Step-by-step explanation:
4 x 2/3 is less than 2/3 , since 2/3 is less than 1 is true or false ?
Answer = FALSE because
4×2/3 = 4
it less than 2/3 since 2/3 = 0
so answer will be false
6-6-6-6-6-6-6-6--y50-60976-09-7697967-676-796-790696 6x3
some one help me with these questions (totally not starting a meme)
Answer:
meme also I don't think you can answer that considering that is a hotlogic oven serial number
Step-by-step explanation:
If your chances of losing the shell game if you randomly pick is 2 in 3. What are the chances that you would lose 5 games in a row?
A) 13.1687
B) 1.31687
C) .131687
D) .013687
Answer:
c
Step-by-step explanation:
A tray holds 36 eggs.How many trays are needed to hold 845 eggs.
Answer:
I'm sorry if i'm wrong but I think it's somewhere between 23 or 25
(maybe 24)
Answer:
24 trays
Step-by-step explanation:
845 devided by 36 is 23 with a remainder of 2 so you will need an extra tray to fill all of them.
Question
The specifications for a laptop computer describe its screen as measuring 15.6 in. However, this is actually
the length of a diagonal of the rectangular screen, as represented in the figure. How wide is the screen
horizontally, to the nearest tenth of an inch?
Answer:
13.6
Step-by-step explanation:
I got it right
Bob bought 24 hockey tickets for 83$
Answer:
i think the answer is $3.45
Step-by-step explanation:
just had to divide the two numbers
4.) A customer at a concession stand bought 2 boxes of popcorn & 3
drinks for $12. Another customer bought 3 boxes of popcorn & 5
drinks for $19. How much does a box of popcorn cost? How much does
a drink cost? Write and solve a system of equations
Equation 1 :
Equation 2:
Popcorn
Drink:
Answer:
10$ each
Step-by-step explanation:
joey is making a poster for bike safety week. the diameter of circle A is 18 in. If the area of a circle B is 1/5 the area of Circle A what is the area of circle B?
4/40 in its simplest form
Answer:
1/10
Step-by-step explanation:
(4/40)/ (4/4) = 1/10
Sorry for the blur but I need help with this one objective: find all seven angles
Can you just solve these two problems I don’t get it. Please help
Answer:
PROBLEM 5: 80
PROBLEM 6: 94
Step-by-step explanation:
PROBLEM 5:
5(2 times 5 + 6)
=5(10+6)
5(16) = 5 times 16
=80
PROBLEM 6:
4 times(5 to the power 2)-6
4(25)-6
=100-6
=94
A set of nine books is arranged in orderly fashion on a Shelf. Each book has 100 pages that is sheets of paper with printing on both sides making 900 pages in all. A work starting on the first page of the book eats through to the last page of the last book how many pages does the worm eat
Answer:
1( first page of volume 1) + 900 (900 book of 100 pages) + 1 (last page of the book)
can someone pls help me on this
Answer:
48
Example:
Just multiply them.
Answer:
If you multiply them all together it equals 48 degrees
A recipe requires 1 cup of milk for every 4 cups of flour. Choose a linear equation that describes the relationship.
A. y=4x
B. y=4x+1/4
C. y=1/4x+4
D. y=1/4x
Answer:
i think it is a but i am not shore. Hope this helps
Step-by-step explanation:
So if x is 2.8 and the equation is x=y5 then what is y ?
Answer:
sooooooooo
Step-by-step explanation:
Answer:
x=y5
2.8=y^5
[tex] \sqrt[5]{2.8} [/tex]
=y
y=12.28