Using the normal distribution and the central limit theorem, it is found that there is a 0.6328 = 63.28% probability that a random sample of 100 accounting graduates will provide an average that is within $902 of the population mean.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation given by [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]Hence, the probability of sample having mean within M of the population mean is the p-value of [tex]Z = \frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex] subtracted by the p-value of [tex]Z = -\frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex].
In this problem, we suppose [tex]\sigma = 10000[/tex], and thus, with a sample of 100, we have that [tex]s = \frac{10000}{\sqrt{100}} = 1000[/tex].
Within $902, hence [tex]M = 902[/tex].[tex]Z = \frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = \frac{902}{1000}[/tex]
[tex]Z = 0.902[/tex]
[tex]Z = 0.902[/tex] has a p-value of 0.8164.
[tex]Z = \frac{M}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]Z = -\frac{902}{1000}[/tex]
[tex]Z = -0.902[/tex]
[tex]Z = -0.902[/tex] has a p-value of 0.1836.
0.8164 - 0.1836 = 0.6328.
0.6328 = 63.28% probability that a random sample of 100 accounting graduates will provide an average that is within $902 of the population mean.
A similar problem is given at https://brainly.com/question/24663213
How can we get Equation B from Equation A?
A. 2x−1=5x
b. −1=3x
Question 2 options:
Rewrite one side (or both) using the distributive property
Add/subtract a quantity to/from only one side
Add/subtract the same quantity to/from both sides
Rewrite one side (or both) by combining like terms
Answer:
-1 = 5x - 2x
Step-by-step explanation:
When 2x will go to the other side of the equal sign, it will become negative.
5x - 2x will become 3x
From here you will get Equation B
2x - 1 = 5x
-1 = 5x - 2x
-1 = 3x
If 8 boys went to the washroom, there would be as many boys as girls in the room. 3 If 8 girls went to the washroom, there would be 2 times as many boys as girls. Howmany boys and how many girls are there in the class?
Answer:
24 kids in the classroom.
Find the GCF of 9a^4b^2 and 21a^2b^3
Answer:
son varios carnal
Step-by-step explanation:
respuestas y pregunstas es que la explicacion tiene logica como mi rap asta rimo carnal para que guache loko nomas para que vea el flow que cargo loko asi nomas mijo ya vio
Four more than three times a number is
greater than twenty-two.
Answer:
x > 6
Step-by-step explanation:
The first thing you need to know is that when you solve inequalities, imagine the greater than or less than sign as an equal sign as you solve. Use the same rules as you would use in algebra: do the same thing to one side to the other side. Now the equation is writen as 4 + 3x > 22. The first step is to subtract 4 to take it from that side of the equation and isolate the x. Remember that if you divide or multiply by a negative number, you must flip the inequality sign. Now you subract 4 from both sides as we were saying, the equation is now 3x > 18. The last step is to divide 3 from both sides to isolate the variable. The 3 next to the x represents multiplication. The final answer is x > 6
Hope this helped :)
Suppose that sin(t) = − 3/ 5 and is in quadrant 4. Find the following:
(a) cos(t) =
(b) sin(2t) =
(c) cos(2t) =
(d) tan(2t) =
(e) The quadrant of the angle 2t.
(f) The quadrant of the angle 1/ 2 t.
(g) sin 1 /2 t =
(h) cos 1 2/ t
Answer:
see below
Step-by-step explanation:
As sin(t) = -3 / 5 and in quadrant 4
so cos is positive
a) sin^2(t) + cos^2(t) = 1
(-3/5)^2 + cos^2(t) = 1
cos^2(t) = 1 - (9/25)
cos^2(t) = (25 - 9) / 25 = 16/25
cos(t) = +4/5
b) sin(2t) = 2 sin(t)cos(t)
= 2 * (-3/5) * (4/5)
= -24/25
c) cos(2t) = cos^(t) - sin^2(t)
= (4/5)^2 - (-3/5)^2
= 16/25 - 9 / 25
= 7 / 25
d) tan(2t) = sin(2t) / cos(2t)
= (-24/25) / (7/25)
= -24/7
e) as sin(2t) is negative and cos(2t) is positive
2t is in Quadrant 4
I am not sure for below three
f) cos(t) = cos^2(1/2 t) - sin^2(1/2 t) = 4/5
cos^2(1/2 t) + sin^2(1/2 t) = 1
by adding and solving
1 + 4/5 = 2 * cos^2(1/2 t)
9/10 = cos^2(1/2 t)
cos(1/2 t) = +- 3/[tex]\sqrt{10}[/tex]
and sin(t) = 2 * sin(1/2 t) * cos(1/2 t) = -3/5
2 * sin(1/2 t) * 3/sqrt{10} = -3/5
sin(1/2 t) = +- 1/sqrt{10}
means here sin and cos for 1/2 t should be opposite signs
so it is either 2nd or 4th quadrant
g) sin( 1/2 t) = +-1/sqrt{10}
h) cos(1/2 t) = +- 3/sqrt{10}
For the functions f(x)=−7x2−x and g(x)=9x2−4x, find (f−g)(x) and (f−g)(1).
Step-by-step explanation:
f(x) = -7x² - x
g(x) = 9x² - 4x
(f - g)(x) = (-7x² - x) - (9x² - 4x)
(f - g)(x) = (-7x² - 9x²) + (-x + 4x)
(f - g)(x) = -16x² + 3x
(f - g)(1) = -16(1)² + 3(1)
(f - g)(1) = -16.1 + 3
(f - g)(1) = -16 + 3
(f - g)(1) = -13
4. Which symbols are represented by an open circle on the number line? (Select all that apply.)
Answer:
The first and second choice since those symbols are the ones that apply to open circle on the number line and the 2 last ones are closed circles
Step-by-step explanation:
The symbols represented by the open circle on the number line are greater than ( > ) and less than ( <). The correct options are A and B.
What is inequality?Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
On the number line, the open circle stands for the symbols greater than (>) and less than (<). These symbols are used to form inequalities also.
Therefore, the symbols represented by the open circle on the number line are greater than ( > ) and less than ( <). The correct options are A and B.
To know more about inequality follow
https://brainly.com/question/24372553
#SPJ2
tha distance y that cam swims in x minutes is a proportional relationship. the data from his most recent swims are shown in the table. Brittney calculates that she swims 51.3 meters per minutes. Who is the lower swimmers?
Step-by-step explanation:
Do not know sorry
........ M
4 friends went golfing this morning. On a particular hole, Aisha is 3 under par, Bob is 4 above par, Claire is at par, and Dorian is 1 under par. What are the scores from least to greatest?
PLZ HELP WITH THIS
Answer:
Step-by-step explanation:
4
4
3
1
okay i have between 20min to comlpter this please help
Answer:The first goes to the first, the second to the third, the third to the fourth and the fourth to the second.
Step-by-step explanation:
Help help math sucks please honest answer
simplify y=(x+3)^2, x=1
Given A = {x ∈ ℤ : 4|x} and B = {x ∈ ℤ : 2|x}. Prove A ⊆ B.
Let a ∈ A. Then a is some integer that is divisible by 4, so we can write a = 4k for some integer k.
We can simultaneously rewrite a as a = 2•2k, so 2 clearly divides a, which means a ∈ B as well.
Therefore A ⊆ B.
please help me, i will mark the brainliest pls!
Answer:
YES
Step-by-step explanation:
The blanks would be (5 x 6) - (5 x 3) hope this helps :)
In Isaac's closet, the ratio of short-sleeve to long-sleeve shirts is 5:2.
If Isaac has 30 short-sleeved shirts, how many long-sleeved shirts does he have?
Answer:
12 long sleeved
Step-by-step explanation:
30 / 5 = 6
6 x 2 = 12
Answer:
12
Step-by-step explanation:
The 5 part of the ratio relates to 30 short- sleeved shirts.
Divide by 5 to find the value of 1 part of the ratio
30 ÷ 5 = 6 ← value of 1 part , then
2 parts = 2 × 6 = 12 ← long- sleeved shirts
Suppose $50,000 is divided into two bank accounts. one account pays 4% simple interest per year and the other pays 6.4%. after five years there is a total of $12,000 in interest between the two accounts. how much was invested into the bank account that pays 6.4% simple interest (rounded to the nearest cent)?
Answer:
$33333.33
Step-by-step explanation:
Suppose x invested into the bank account that pays 4% simple Interest
5x4%x+5x6.4%(50000)= 12000 { The interest due is equal to interest}
4x+6.4x50000-6.4x=240000
2.4x=80000
x=33333.33
What is the product of 10 and 1/10 in lowest term? a. 1
b. 10
c. 11/10
d. 1/10
Answer:
11/10
Step-by-step explanation:
you can't reduce
Jason budgets 28% of his $1,500 income each month for food. How much money does he have to spend for everything else? O $53.57 O $420,00 O $1,080.00 O $1,446.43
Answer:
$1,080.00
Step-by-step explanation:
$1,500 - 28% = $1,080.00
Two-Dimensional Nets and Surface Area
What is the surface area of this
square pyramid?
Answer:
The surface area of a square pyramid is the sum of the areas of all its 4 triangular side faces with the base area of the square pyramid. If a, h, and l are the base length, the height of the pyramid, and slant height respectively, then the surface area of the square pyramid = a2+ 2al (or) a2+2a √a24+h2 a 2 4 + h 2 .
What is the measure of angle x
Answer:
Correct answer is D 146°
Step-by-step explanation:
x= 90° +56° ( Exterior angle of a triangle is equal to the two opposite interior angles)
x= 146°
what number is 25% of $115
Please help i will give brainliest to one who answers
You and a friend work at a job, The job paid $20 and you and the friend have to split it evenly, except your friend must make $1.00 more. How much will each of you get?
please help i will give brainliest to one who answers
you get 9 the friend gets 11
Use division to find all the whole number ratios equivalent to 56:24.
Answer:
check step by step for it (:
Step-by-step explanation:
go in order
1 is 56:24
2 is 28:12
3 doesn't work for 56, the division doesn't result in a whole number
4 is 14:6
5, N/A
6 is N/A for 56
7 is 8 for 56 and NA for 24
8 is 7:3
boom (:
Plz help I need help
Answer:
x=31.5
Step-by-step explanation:
What is the equation of a line, in point -slope form, that passes through (-8, 1) and has a slope of 5/6? -3/4
9514 1404 393
Answer:
y -1 = 5/6(x +8)
Step-by-step explanation:
The point-slope equation of a line is ...
y -k = m(x -h) . . . . . line through point (h, k) with slope m
For point (-8, 1) and slope 5/6, the equation is ...
y -1 = 5/6(x +8)
_____
Additional comment
If you want a line with slope -3/4 through the same point, change 5/6 to -3/4:
y -1 = -3/4(x +8)
Solve by graphing
PLEASE HELP
Answer:
DX wonder if if you want to come over and watch the way to the way to the way to the way to the way to the way to work I you you you can send me the way to the way to the way to the way to the way to the way home now I will be more than enough for me for all of us her
₹7.50 into paise please help me
Answer:
750 paise
Step-by-step explanation:
just remove the decimal!
2) Compare the sets of numbers below.
Place a symbol (<, >, =) on the line between the numbers
A.
5.72
4.75
B.
36.2
36.12
C.
9.18
9.19
D.
7.6
7.60
E
0.8243
0.82
F.
0.43
0.425
125.6
G.
120.8
7.219
H.
7.229
I.
0.991
0.99100
J.
0.2
0.02
K.
62.99
3ها
L.
01.4
110.4
M.
0.031
0.310
PLEASE HELP ASAP
A. 5.72 > 4.75
B. 36.2 > 36.12
C. 9.18 < 9.19
D. 7.6 = 7.60
E. 0.8243 > 0.82
F. 0.43 > 0.425
G. 125.6 > 120.8
H. 7.219 < 7.229
I. 0.991 = 0.99100
J. 0.2 > 0.02
L. 01.4 < 110.4
M. 0.031 = 0.310
I couldn't solve for K because the options are not given properly.
Do comment if you have any query.
Hope it helps.
PLEASE HELP ME! Truthful answer only please
Answer:
D. [tex]-2a^2+2a+4[/tex]
Step-by-step explanation:
[tex]d_1=a^2+2a+3\\d_2=2a^2+a+1\\[/tex]
First, substitute both of these equations into [tex]2(d_1-d_2)[/tex]
[tex]2((a^2+2a+3)-(2a^2+a+1))[/tex]
Now, you just simplify. I don't have much to say about it, but here's the steps:
[tex]2(a^2+2a+3-2a^2-a-1)\\2(a^2-2a^2+2a-a+3-1)\\2(-a^2+a+2)\\-2a^2+2a+4[/tex]
Your answer is D. [tex]-2a^2+2a+4[/tex]
-2.08 - (-4.49) equals?
Answer:
2.41
Step-by-step explanation:
-2.08-(4.49)=
-2.08+4.49=2.41
Answer:
2.41
Step-by-step explanation:
The answer is 2.14 because the numbers in the problem are both negative making the solution/ answer positive 2.41! :D
