Answer:
Identify a, b , and c in the trinomial ax2+bx+c.
Write down all factor pairs of c.
Identify which factor pair from the previous step sum up to b.
Substitute factor pairs into two binomials.
Step-by-step explanation:
You roll a number cube. How likely is it that you will roll a number less than 1? less than 7? Explain.
Answer:
There is a zero percent that you will roll a number less than one but a 100% chance of rolling a number less than 7.
Step-by-step explanation:
What is the value of x
Answer:
it Is a variable..............
Know how to calculate point est., confidence interval, max tolerable error. Know the effect when you change the confidence level and the sample size. A high school surveyed their graduates on their starting salaries. 300 were returned. The average starting salary of the surveys returned was $32,000 with a standard deviation of $5,000.
1. What is the point estimate for the starting salary of the graduates?
2. What is the 95% confidence interval for the average salary of all graduates?
3. What is the value of the Maximum Tolerable Error for the above confidence interval?
4. If the level of confidence changes to 99%, and all other variables remain unchanged, what will happen to the confidence interval?
5. If the number of graduates returning the survey changes from 300 to 700, all other variables remaining unchanged, what will be effected?
Answer:
1)The sample mean is the point estimate for the starting salary of the graduates which is $32,000
2) at 95%, confidence interval for the average salary of all graduates is ( 31525.13, 32474.87 )
3) Margin of Error E = 474.87
4) at 99%, confidence interval is ( 31328.54, 32671.46 ).
5) the probability of error will be affected
Step-by-step explanation:
Given the data in the question;
1) the point estimate for the starting salary of the graduates?
The sample mean is the point estimate for the starting salary of the graduates which is $32,000
2) the 95% confidence interval for the average salary of all graduates?
given that;
mean x' = $32,000
standard deviation σ = $5000
sample size n = 300
∝ = 1 - 95% = 1 - 0.95 = 0.05
∝/2 = 0.05/2 = 0.025
Z Critical value [tex]Z_{\alpha /2[/tex] = 1.6449 ≈ 1.645
so, 95% confidence interval for the average salary of all graduates will be;
⇒ x' ± Margin of Error
Margin of E = [tex]Z_{\alpha /2[/tex] ( σ/√n )
we substitute
E = 1.645( 5000/√300 )
E = 1.645( 288.675 )
E = 474.87
so
x' ± Margin of Error
32000 ± 474.87
⇒ 32,000 - 474.87, 32,000 + 474.87
⇒ ( 31525.13, 32474.87 )
Therefore, 95% confidence interval for the average salary of all graduates is ( 31525.13, 32474.87 )
3) the value of the Maximum Tolerable Error for the above confidence interval?
This is simply the Margin of Error,
Margin of Error E = 474.87
4)
If the level of confidence changes to 99%, and all other variables remain unchanged, what will happen to the confidence interval?
at 99% confidence level;
∝ = 1 - 99% = 1 - 0.99 = 0.01
∝/2 = 0.005
[tex]Z_{\alpha /2[/tex] = 2.326
∴ confidence interval will be;
⇒ 32000 ± [tex]Z_{\alpha /2[/tex] ( σ/√n )
we substitute
⇒ 32000 ± 2.326( 5000/√300 )
⇒ 32000 ± 2.326( 288.675 )
⇒ 32000 ± 671.458
⇒ 32000 - 671.458, 32000 + 671.458
⇒ ( 31328.54, 32671.46 )
Therefore, at 99%, confidence interval is ( 31328.54, 32671.46 ).
5) If the number of graduates returning the survey changes from 300 to 700 and all other variables remaining unchanged, the probability of error will be affected
-2,4,-8,16... find the 20th term.
Answer:
I think the answer of this question is,
Step-by-step explanation:
The 20th term may be 1048576
Star Time:7:30 A.M Elapsed Time:2 hours, 20 minutes End Time is
Answer:
9:50 A.M.!
Step-by-step explanation:
7 HRS +2 HRS = 9 HRS
30 MINS + 20 MINS = 50 MINS
what expression does not represent " the sum of n and 6
6 + n
6n
n +6
Answer:
6n
Step-by-step explanation:
6n = 6*n not 6+n
Leave a like and mark brainliest if this helped!
if twice a number is decreased by 13, the result is 9, what is the number?? (please make a solution)
Answer:
22
Step-by-step explanation:
2x-13=9
2x-13-9=0
2x-22=0
2x=22
x=11
Solve the following integral.
[tex]\int4x\cos(2-3x)dx[/tex]
Hi there!
[tex]\boxed{-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C}[/tex]
To find the indefinite integral, we must integrate by parts.
Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":
u = 4x
du = 4
dv = cos(2 - 3x)
v = 1/3sin(2 - 3x)
Write into the format:
∫udv = uv - ∫vdu
Thus, utilize the solved for expressions above:
4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx
Simplify:
-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx
Integrate the integral:
∫4/3(sin(2 - 3x)dx
u = 2 - 3x
du = -3dx ⇒ -1/3du = dx
-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C
Combine:
[tex]-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C[/tex]
Answer:
this is your answer look it once
Are the two triangles similar? If so, state the reason and the similarity statement.
Question 12 options:
A)
Yes; SAS; ΔIGF ∼ ΔMNL
B)
The triangles are not similar.
C)
Impossible to determine.
D)
Yes; AA; ΔIGF ∼ ΔMNL
Answer:
The triangles are not similar.
Step-by-step explanation:
Given
[tex]\triangle IGF[/tex] and [tex]\triangle MNL[/tex]
See attachment for triangles
Required
Determine if both triangles are similar or not
From the attached triangles, the corresponding sides are:
IG & MN and GF & NL
Where
[tex]IG = 12[/tex] [tex]MN = 14[/tex]
[tex]GF = 16[/tex] [tex]NL = 18[/tex]
For both triangles to be similar, the following equivalent ratios must be equal.
[tex]\frac{IG}{MN} = \frac{GF}{NL}[/tex]
[tex]\frac{12}{14} = \frac{16}{18}[/tex]
[tex]\frac{6}{7} \ne \frac{8}{9}[/tex] -- since both ratios are not equal, then the triangles are not similar
Express f(x) in the form f(x) = (x - k)q(x)+r for the given value of k.
f(x)= x^3+ 4x² + 5x + 2, k= -2
Given:
[tex]f(x)=x^3+4x^2+5x+2,k=-2[/tex]
To find:
The the given function in the form [tex]f(x)=(x-k)q(x)+r[/tex].
Solution:
We have,
[tex]f(x)=x^3+4x^2+5x+2[/tex]
The coefficients of f(x) are 1, 4, 5, 2.
Divide the given function by (x+2) by using synthetic division as shown below:
-2 | 1 4 5 2
-2 -4 -2
_____________________
1 2 1 0
_____________________
Bottom row represent the quotient and last element of the bottom row is the remainder.
Degree of the function is 3 and the degree of division is 1. So, the degree of the quotient is 3-1 = 2.
So, the quotient is [tex]x^2+2x+1[/tex] and the remainder is 0.
Now,
[tex]f(x)=(x-k)q(x)+r[/tex]
Here, q(x) is the quotient and r is the remainder.
[tex]f(x)=(x-k)(x^2+2x+1)+0[/tex]
Therefore, the required answer is [tex]f(x)=(x-k)(x^2+2x+1)+0[/tex].
help please asap today is the deadline
Which of the following numbers is equivalent to
√48?
Answer: you forgot attachment
Step-by-step explanation:
distinguish between rote and rational counting
Answer: There is a difference between rote counting and rational counting. Rote counting involves the memorization of numbers. Rational counting tells children "how many there are." For children to count rationally, they need to demonstrate one-to-one correspondence.
Find the volume of the composite figure.
16^x-1 ÷ 2^4x.32 simplify
Answer:
16x - 1/50x
Step-by-step explanation:
(b) I can share the cubes in bag B
equally between 4 people.
How many cubes could be in bag B?
There are two answers. Write them both.
bag B
more than 20
fewer than
30
9514 1404 393
Answer:
24, 28
Step-by-step explanation:
Multiples of 4 between 20 and 30 are ...
24 = 6·4
28 = 7·4
There could be 24 or 28 cubes in bag B.
Can someone please help!!
Answer:
https://youtu.be/WYNfQabLpuk
[Probability / Statistics) Twenty families were surveyed. How many have boys only?
Answer:
5
Step-by-step explanation:
We start by seeing how many families we have in total, which is 20. We then must subtract the number of families with girls only, the number of families with both boys and girls, and the number of families with no children. 20 - 7 is 13, then 13 - 8 is 5, and 5 - 0 is 5.
suppose a binomial trial has a probability of success of 0.2 and 500 trials are performance what is the standard deviation of the possible outcomes round your answer to two decimal places
The standard deviation of the possible outcomes of the binomial trial, given the success rate and the number of trials is 10.
How to find the standard deviation ?The standard deviation measures the spread or dispersion of the possible outcomes around the mean and a higher standard deviation means that the possible outcomes are more spread out, while a lower standard deviation means that the possible outcomes are more closely clustered around the mean.
To find the standard deviation of this binomial distribution, first find the variance by the formula:
= Number of trials x probability of success x ( 1 - probability of success )
= ( 500 x 0. 2 x ( 1 - 0. 2))
= 100
Then, the standard deviation would be:
= √(Variance )
= √(100)
= 10
Find out more on standard deviation at https://brainly.com/question/17108678
#SPJ1
The volume of the polyhedron is ______ cm3.
Zac gave 60 candies to 12 friends. Write an equation to solve how many pieces they each get.
HELPP PLSS
Answer:
each friend gets 5 candies.
Step-by-step explanation:
ok, let's list the basics.
Zac has 60 candiesZac has 12 friendsEach friend gets the same amount of candiesfor this question we need to use division.
60 ÷ 12 = 5
i really hope this helped, if you have any questions feel free to ask
good luck my friend!
-cheesetoasty
What is the main problem with this introduction paragraph?
Games Games Games claims to have the best trade-in store.
Even though it was in great condition, I was given only $4 for it. Later, I
saw that you were selling used copies of the same game for $22. Is
this really fair to your customers?
A. The hook does not relate to the topic.
B. It includes opinions instead of just facts.
C. It does not restate the main points of the essay.
D. The thesis statement is unclear.
Answer:
french
Step-by-step explanation:
french
Answer:
D
Step-by-step explanation:
The thesis statement is unclear.
Used process of elimination and this introduction paragraph did not have a clear paragraph. Got it correct.
Which statement is represented by this equation? 3(4-x)+8=24
Answer:
x=4
Step-by-step explanation:
First divide 3 from both sides.
Then minus 8 which makes it 0.
Finally, pull the x to the other side giving you x=4
solve the system by substitution.....
Answer: y=-20,:x=-2
PLEASE MARK BRAINLIEST
Answer:
x=-2
y=-20
Step-by-step explanation:
y=10x
y=2x-16
10x=2x-16
-2x -2x
8x=-16
/8 /8
x=-2
y=10x
y=10(-2)
y=-20
Please help me find the answer fo this!!
Answer:
÷3==533740£; ok8iejeoeoeo
Let f(x) = square root 7x and g(x)= x-5. whats the smallest number that is in the domain of f ° g ?
check the photos they have the answer
Solve for c:
112 = 14c
Answer:
its 8 i belive
Step-by-step explanation:
find the given polynomial by finding the greatest common monomial factor or the ñegative of the greatest common monomial factor and rewrite the expression.
Answer:
1. The greatest common monomial factor is xy
2. xy(6 + 2y² + 3x²)
Step-by-step explanation:
6xy + 2xy³+ 3x³y
1. Determination of the greatest common monomial (GCM) factor.
6xy + 2xy³+ 3x³y
6xy => 2 × 3 × x × y
2xy³ = 2 × x × y × y × y
3x³y = 3 × x × x × x × y
GCM => xy
2. Rewrite the expression
6xy + 2xy³+ 3x³y
GCM => xy
6xy + 2xy³+ 3x³y = xy(6 + 2y² + 3x²)
Twice a number a is less than 3 write the sentence as an inequality pls help
writing sentence as an inequality
how to write
a.) " A number n is less than or equal to -7 or greater than 12" as an inequality
b.) " A number p is less than 6 and greater than 2
An angle measures 31.6° more than the measure of its complementary angle. What is the measure of each angle? (need two answers pls see pic)ASAP!!!!!!!!
Answer:
29.2 and 60.8
Step-by-step explanation:
x° + x° + 31.6° = 90°
2x + 31.6 = 90
2x = 58.4
x° = 29.2°
90° - 29.2° = 60.8°
29.2 and 60.8