9514 1404 393
Answer:
x = {-0.5-√1.25, -0.5+√1.25, 2, -0.5+i√0.75, -0.5-i√0.75}
Step-by-step explanation:
I like to use a graphing calculator to find clues as to the roots of higher-degree polynomials. Here, we see that x=2 is the only real rational root. Dividing that out by synthetic division, we see the remaining quartic factor is ...
2x^5 -6x^3 -4x^2 -2x +4 = 0
2(x -2)(x^4 +2x^3 +x^2 -1) = 0
We can recognize that the quartic factor is actually the difference of two squares:
x^4 +2x^3 +x^2 -1 = (x^2 +x)^2 -1 = 0
So it resolves to two quadratic factors.
(x^2 +x +1)(x^2 +x -1) = 0
One will have real roots, as shown by the graph. The other will have complex roots.
x^2 +x + 1/4 = 1 +1/4 . . . . complete the square for the factor with real roots
(x +1/2)^2 = 5/4
x = -1/2 ± √(5/4) . . . . . . irrational real roots
__
x^2 +x = -1 . . . . . . . . . . the quadratic factor with complex roots
(x +1/2)^2 = -1 +1/4 . . . complete the square
x = -1/2 ± i√(3/4) . . . . irrational complex roots
__
In summary, the values of x that satisfy the equation are ...
x = 2
x = -1/2 ± √(5/4)
x = -1/2 ± i√(3/4)
The probability distribution for a
random variable x is given in the table.
-10
-5
0
5
10
15
20
Probability
.20
.15
.05
.1
.25
.1
.15
Find the probability that x = -10
Answer:
.20
Step-by-step explanation:
According to what are written in the table the probability for x=-10 is .20
The probability distribution at x= -10 is 0.20.
What is Probability distribution?A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.
Given:
We have table as,
x -10 -5 0 5 10 15 20
Probability 0.20 0.15 0.05 0.10 0.25 0.10 0.15
So , we have to find probability that x = -10 then by looking at table the corresponding value to x= -10 the probability is 0.20.
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-X-6
constant.
coefficient:
variable
Answer:
constant: -6
Coefficient: -1
Variable: x
Step-by-step explanation:
A 7-kg bag of apple for $10 ________ per kg
Answer:
10/7= $1.43 per kg
...........
0.7 kg = $1
7 kg - $10
? kg - $1
7 / 10 = 0.7
0.7 kg = $1
Let me know if I did something wrong :)
(11x-28) + (10x-17) combine like terms
Answer:
21x-45
Step-by-step explanation:
(11x-28)+(10x-17)=11x-28+10x-17=21x-45
Hope this helps =]
Hey there!
(11x - 28) + (10x - 17)
= 11x - 28 + 10x - 17
COMBINE the LIKE TERMS
= (11x + 10x) + (-28 - 17)
= 11x + 10x - 28 - 17
= 21x - 45
Therefore, your answer is: 21x - 45
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Muhammad Amanullah buys 4 apples for $1.12.
At the same price, how many apples can he buy for $2.52?
A-5
B-6
C-7
D-8
E-9
Answer: E) 9
Step-by-step explanation:
1.12/4 = 0.28
2.52/0.28 = 9
Answer:
9
Step-by-step explanation:
To find how much each apple costs, you have to divide the price by how many apples he brought.
1.12/4 = 0.28
Each apple costs $0.28
Now, you have to divide 2.52 by 0.28.
2.52/0.28 = 9
He can buy 9 apples at the same price with $2.52.
You move right 3 units. You end at (5, 2). Where did you start?
Answer:
8,2
Step-by-step explanation:
Write an equation of a line that has a slope of 3/4and passes through point (8,7)
Find the Area of the Shaded Region.
183 in
184 in?
182 in2
117 in?
Answer:
Shaded Region? 182in²?
Step-by-step explanation:
Where is the Shaded Region?
but between all The options you gave it to us 182in² have area unit
Help plz need the answer asap
Answer:
The video is blocked but you can type your question on here1
Step-by-step explanation:
(2x2)+(8-6)
Whats the answer
Answer:
6
Step-by-step explanation
following pemdas, we first multiply 2 x 2, which is four. Next, we do the other parenthesis, 8 - 6, which is two. 2 + 4 is 6.
Hope this helps!
Answer:
the answer is six
Step-by-step explanation:
2×2=4
then
8-6=2
4+2=6
Find the equation of the linear function represented by the table below in slope-
intercept form.
Answer:
y = 3x + 5
Step-by-step explanation:
slope:
11 - (-1) / 2 - (-2) = 12/4 = 3
slope intercept form is y = mx + b, so right now you have m = 3:
y = 3x + b
now, since you know x = -2 and y =-1 is a solution, you can plug those values in:
-1 = 3 * -2 + b
-1 = -6 + b
5 = b
This means the equation is y = 3x + 5
Which expressions are equivalent to 5x-15? Select three options.
5(X+15)
5(x-3)
4x+3y-15-3y+X
-7y-6x-8y + x
0-20-3x+5+ 8x
Answer:
The number 2 for sure but i dont know the rest
Step-by-step explanation:
solve for x: 5/2x = 15/2 x=3
Answer:
3
Step-by-step explanation:
5/2⋅=15/2⋅=3
Prove that a+b/2≥√ab
6 Which equation has a solution of s = 9.5 ? F -5s = -47.5 G -3 + s = 12.5 H --2s 19 J –1 + s = 10.5
Answer:
F. -5s = -47.5
Step-by-step explanation:
F. -5s = -47.5
s = -47.5 / -5
s = 9.5
This is the correct option
G. -3 + s = 12.5
s = 12.5 + 3
s = 15.5 (Incorrect option)
J. –1 + s = 10.5
s = 10.5 + 1
s = 11.5 (Incorrect option)
Please fill in the answers by 4:00 !! (I'll give brainliest if u help me)
here you go! hopefully this helps :))
g The distribution of the monthly amount spent on childcare in a Midwestern city has a mean of $675 and a standard deviation of $80. A random sample of 64 families in this city paying for childcare is selected. Find the probability that the sample mean is less than $650. (Round the result to 4 decimal places.)
Answer:
0.0062 = 0.62% probability that the sample mean is less than $650.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
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 p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of $675 and a standard deviation of $80.
This means that [tex]\mu = 675, \sigma = 80[/tex]
A random sample of 64 families in this city paying for childcare is selected.
This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]
Find the probability that the sample mean is less than $650.
This is the pvalue of Z when X = 650.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{650 - 675}{10}[/tex]
[tex]Z = -2.5[/tex]
[tex]Z = -2.5[/tex] has a pvalue of 0.0062
0.0062 = 0.62% probability that the sample mean is less than $650.
The probability that the sample mean is less than $650 is 0.62%.
The z score is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]
From the normal distribution table:
P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%
The probability that the sample mean is less than $650 is 0.62%.
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PLEASE HELP DUE IN 3 minutes
Answer:
Answer is B
Step-by-step explanation:
Cayle the cat 3.1.4 Suppose I am conducting a test of significance where the null hypothesis is my cat Cayle will pick the correct cancer specimen 25% of the time and the alternative hypothesis is that she will pick the cancer specimen at a rate different than 25%. I end up with a p-value of 0.002. I also construct 95% and 99% confidence intervals from my data. What will be true about my confidence intervals
Answer: hello the options related to your question is missing attached below are the missing options
answer : Neither the 95% nor the 99% intervals will contain 0.25 ( B )
Step-by-step explanation:
Given that ;
H0 : = 0.25
Ha : ≠ 0.25
p-value = 0.002
also 95% and 99% confidence intervals are constructed
p value = 0.002 i.e. < 0.01 ∝ < 0.05 ∝
This means that we reject null hypothesis in both cases when (∝ =0.05 and ∝ = 0.01 )
Hence The true statement about my confidence intervals is :
Neither the 95% nor the 99% intervals will contain 0.25
I'll give points and brainalist for answer / explanation
Answer:
D. 28.26 in²
Step-by-step explanation:
Area of a circle= πr²
r= 3
π= 3.14
A= (3.14)(3)²
A= 28.26 in²
Help me out pls and thank you very much !!!!!!!
Answer:
8
Step-by-step explanation:
Since this is a rectangle, the opposite sides are congruent.
So the lengths of DG and EF are equal
3x + 5 = 29
3x = 29 - 5
3x = 24
x = 24/3
x = 8
I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS
Trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 36 miles per day. The mileage per day is distributed normally. Find the probability that a truck drives less than 118 miles in a day. Round your answer to four decimal places.
Answer:
0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
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 p-value, we get the probability that the value of the measure is greater than X.
Trucks in a delivery fleet travel a mean of 90 miles per day with a standard deviation of 36 miles per day.
This means that [tex]\mu = 90, \sigma = 36[/tex]
Find the probability that a truck drives less than 118 miles in a day.
This is the pvalue of Z when X = 118. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{118 - 90}{36}[/tex]
[tex]Z = 0.78[/tex]
[tex]Z = 0.78[/tex] has a pvalue of 0.7823
0.7823 = 78.23% probability that a truck drives less than 118 miles in a day.
Account (A) is a saving account , the interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A). How much is the principle for account (A) ?3
Answer:
The principal for the account is $375.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
The interest earned after 1 year is $12 .If the interest rate is 3.2% for account (A).
This means, respectively, that [tex]t = 1, E = 12, I = 0.032[/tex]
We want to find P.
[tex]E = P*I*t[/tex]
[tex]12 = P*0.032*1[/tex]
[tex]P = \frac{12}{0.032}[/tex]
[tex]P = 375[/tex]
The principal for the account is $375.
You are going to visit your aunt who lives 25 miles away . You have already traveled 7.7 miles. What percentage of the trip is still ahead of you?
The percentage of the trip that is still ahead of you is 69.2%.
What is the percentage?The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
You are going to visit your aunt who lives 25 miles away. You have already traveled 7.7 miles.
The percentage of the trip that is still ahead of you is calculated as,
P = [(25 - 7.7) / 25] x 100
P = (17.3 / 25) x 100
P = 0.692 x 100
P = 69.2%
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12x+6n-36 in standard form
Please help!!!!!!!!!!!
Answer:
Circle on the left: 30 ft Circle in the middle: 4m Circle on the right: 10 mm
Step-by-step explanation:
I got these answers by multiplying the radius by 2. In the problem, they gave you the radius. The diameter is r*2, so that is how I got my answers.
Answer:
1. I think 30ft 2. I think 4m 3.I think 10mm
You have the opportunity to purchase a MLB Franchise. The probability distribution of expected returns for the franchise is as follows:
Probability Rate of Return
0.1 –20%
0.2 0%
0.4 7%
0.2 15%
0.1 25%
The expected rate of return for your investment in the MLB Franchise is____Expected rate of return = ∑Piki. The standard deviation is_____.
Answer:
The expected rate of return is 6.3%.
The standard deviation is of 11.29%.
Step-by-step explanation:
Expected rate of return
Multiply each rate by its probability. So
[tex]E = 0.1(-20) + 0.2(0) + 0.4(7) + 0.2(15) + 0.1(25) = 6.3[/tex]
The expected rate of return is 6.3%.
Standard deviation:
Square root of the difference squared between each value and the mean, multiplied by the probability. So
[tex]S = \sqrt{0.1(-20-6.3)^2 + 0.2(0-6.3)^2 + 0.4(7-6.3)^2 + 0.2(15-6.3)^2 + 0.1(25 - 6.3)^2} = 11.29[/tex]
The standard deviation is of 11.29%.
If k=9 and x=5, find the value of the expression:
2k - X
Please hurry
Answer:
[tex]\huge\boxed{13}[/tex]
Step-by-step explanation:
= 2k - x
Given that k = 9, x = 5
= 2(9) - 5
= 18 - 5
= 13
[tex]\rule[225]{225}{2}[/tex]
Hope his helped!
~AH1807If (3, -5) is an ordered pair of the function f(x), which of the following must be an ordered pair of the inverse of f(x)?
(3, -5)
(3, 5)
(-5, 3)
(5, -3)
Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).
How to determine which of the following must be an ordered pair of the inverse of f(x)To determine which of the given ordered pairs must be an ordered pair of the inverse of f(x), we need to find the inverse function of f(x) and check which ordered pair satisfies the inverse function.
Given that (3, -5) is an ordered pair of the function f(x), it means that f(3) = -5.
Now, let's find the inverse function of f(x) by swapping the x and y variables and solving for y:
x = f(y)
Substituting f(3) = -5:
3 = f(y)
Therefore, the inverse function of f(x) is y = 3.
Now, let's check which of the given ordered pairs satisfies the inverse function:
- For (3, -5):
When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, -5) does not satisfy the inverse function.
- For (3, 5):
When we substitute x = 3 into the inverse function y = 3, we get y = 3. Therefore, (3, 5) does not satisfy the inverse function.
- For (-5, 3):
When we substitute x = -5 into the inverse function y = 3, we get y = 3. Therefore, (-5, 3) satisfies the inverse function.
- For (5, -3):
When we substitute x = 5 into the inverse function y = 3, we get y = 3. Therefore, (5, -3) satisfies the inverse function.
Based on the analysis above, the ordered pairs that must be an ordered pair of the inverse of f(x) are (-5, 3) and (5, -3).
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