Find the product of
(−9−11i) and its conjugate.
Answer:
202
Step-by-step explanation:
First, we can find the conjugate of (-9 -11i)
Given a complex number a + bi, the conjugate would be a - bi.
So, the conjugate of -9 -11i is -9 + 11i.
Now, we multiply!
(-9-11i)(-9+11i)
This resembles the special product (a+b)(a-b) which multiplies out to a^2 - b^2
To apply this we subtract the square of the second number from the first.
(-9)^2 - (11i)^2
81 - 121i^2
i^2 is -1, so we can substitute it in:
81 + 121 = 202
A political poll finds that 305 out of 600 (50.8%) of a random sample of likely voters are in favor of the Democrat over the Republican prior to a recent local election between the two candidates. The p-value from a two-sided test of whether the population proportion is different than 50% is 0.714.
1. Which of the following could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate?
a. (46.8%, 54.8%)
b. (50.1%, 58.0%)
c. (53.0%, 61.0%)
2. When should you use the median as a summary statistic instead of the mean?
Answer:
1)
Option A.(46.8%, 54.8%) is the correct Answer.
Since the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 ), (46.8%, 54.8%) could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate.
2)
When a graph falls on a normal distribution, Using the mean is very good choice but when the data has extreme scores, then one should use the median instead of the mean.
Step-by-step explanation:
Given the data in the question;
Null hypothesis H₀ : p = 50% or 0.5
Alternative hypothesis Hₐ : p ≠ 50% or 0.5
given that p-value = 0.714
The p-value is large, so we can not reject Null hypothesis.
Thus, p = 50% or 0.5
Meaning that, the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 )
Thus, Option A.(46.8%, 54.8%) is the correct Answer.
Since the Confidence Interval for the true proportion must contain or include ( p = 50% or 0.5 ), (46.8%, 54.8%) could be the correct 95% confidence interval (range of plausible values) for the true proportion of voters that will vote for the Democrat candidate.
2)
When a graph falls on a normal distribution, Using the mean is very good choice but when the data has extreme scores, then one should use the median instead of the mean.
Set up an equation and solve for the unknown number.
“The sum of 4 and a number is equal to twice that same number”
pls help. due tmrw. will give brainliest
Answer:
0
Step-by-step explanation:
A company produces millions of 1-pound packages of bacon every week. Company specifications allow for no more than 3 percent of the 1-pound packages to be underweight. To investigate compliance with the specifications, the company's quality control manager selected a random sample of 1,000 packages produced in one week and found 40 packages, or 4 percent, to be underweight. Assuming all conditions for inference are met, do the data provide convincing statistical evidence at the significance level of α= 0.05 that more than 3 percent of all the packages produced ir one week are underweight?
a. Yes, because the sample estimate of 0.04 is greater than the company specification of 0.03.
b. Yes, because the p-value of 0.032 is less than the significance level of 0.05.
c. Yes, because the p-value of 0.064 is greater than the significance level of 0.05.
d. No, because the p-value of 0.032 is less than the significance level of 0.05.
e. No, because the p-value of 0.064 is greater than the significance level of 0.05.
Answer:
We accept H₀ we don´t have enough evidence to support that more than 3 % of the packages are undeweight
Step-by-step explanation:
Sample size n = 1000
x ( defective packages found) = 40
p = 40 /1000 p = 0,04 p = 4 % then q = 0,96
np = 0,04 * 1000 and nq / 0.96 * 1000 both greater than 5
Then we can use the approximation of binomial distribution to normal distribution.
α is significance level α = 0,05
From z- table we find z(c) for α = 0,05 z(c) = 1,64
Test Hypothesis
Null Hypothesis H₀ p = 0,03
Alternative Hypothesis Hₐ p > 0,03
We can see from alternative Hypothesis that the test is a one tail test to the right of the bell shape curve of the normal distribution
To calculate z(c) = ( 0,04 - 0,03 ) / √ ( p*q)/n
z(c) = 0,01 * 31,62 / √ 0,04*0,96
z(c) = 0,3162 / 0,1959
z(c) = 1,6140 z(c) ≈ 1,61
Comparing z(s) and z(c)
z(c) > z(s) 1.64 > 1.61
Then z(s) is in the acceptance region for H₀ we accept H₀
brailiest for answer
Answer:
Hello! answer: 4/5
Step-by-step explanation:
20 ÷ 5 = 4 25 ÷ 5 = 5 therefore that is 4/5 and since you cant reduce further 4/5 is the answer HOPE THAT HELPS!
Answer:
4/5 is the answer divide the top and bottom by 5
hope this helps
have a good day :)
Step-by-step explanation:
which of the following inequities are true?
Select the TWO correct answers.
A: |4| > 7
B: |-4| < 4
C: |-7| > |4|
D: |7| > |-7|
E: |-4| < |-7|
Answer:
c and e ................
Solve the proportion then around your answer to the nearest hundredth
Answer:
[tex] \frac{6.3}{x} = \frac{2.56}{9.3} \\ x = \frac{6.3 \times 9.3}{2.56} \\ x = 22.89[/tex]
Answer:
x = 22.89
Step-by-step explanation:
6.3 / x = 2.56 / 9.3
Cross multiply
58.59 = 2.56x
Divide both sides by 2.56
22.88671875 = x
Round
x = 22.89
Which of the following is the standard equation of a circle with center (-10,-8) and radius 3.2
Answer:
It should be one of these:
(x + 10)² + (y + 8)² = 3.2²
(x + 10)² + (y + 8)² = 10.24
Step-by-step explanation:
You didn't list the choices, but this is the standard equation
(x + 10)² + (y + 8)² = 3.2²
the 3.2² term may be presented as 10.24
seventh grade
8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
ninth grade
8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
Find the median of each data set.
Median of seventh grade=
Median of ninth grader
Answer:
median of seventh grade = 16.5
median of ninth grade = 16.5
Step-by-step explanation:
median = middle number, there are 18 numbers in total of each set. Since its even the middle number is kinda 16 and 17, but you can only choose one so the middle of 16 and 17 is 16.5
The population of Nowhere, USA was estimated to be 665,200 in 2004, with an expected increase of 1.9 % per year. At the percent of increase
given what was the expected population in 2005? Round your answer to the nearest whole number.
Answer:
677838 people
Step-by-step explanation:
1.9 percent of 665200 is 12638
665200+12638=677838
For the parallelogram if m<2=4x=3x-15, find m<3. The diagram is not to scale.
Answer:
159
Step-by-step explanation:
Diagonal angles of a parallelogram are equal.
Therefore, 3x-15 = 4x-27.
3x - 15 = 4x - 27
4x = 3x + 12
x = 12
Angle 4 = 21 degrees, because 36 - 15 = 21.
All angles in a parallelogram add up to 360 degrees.
360 - 42 = 318
318 / 2 = 159
The angle measure is 159 degrees.
4
3
3
2+
-4
-3
-2 -1
1
1
2
3
4
-1+
-2+
-3
-4
What is the slope of the line?
Answer:
2/3
Step-by-step explanation:
rises 2 units and east 3 units
rise / run = 2 / 3
The ratio of dogs to cats is 4 to 7. how many dogs are present if there is 49 cats
Answer:
28 dogs are present
Step-by-step explanation:
Dogs : Cats
= 4 : 7
= ? : 49
= 4 x 7 : 7 x 7
= 28 : 49
help me please im dum ...
Answer:
100
Step-by-step explanation:
1/2 x b x h
1/2 x 20 x 10
100
Given lim f(x) = 4. What is lim
X-0
X-0
x5 [F(x)]* ?
оо
O 4
O 64
128
Answer:
64
Step-by-step explanation:
We are given the limit of f(x) as x approaches 0 is 4.
We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.
Let's use limit laws by bringing the limit inside the power.
So we have 1/4 * 4^4.
This equals 4^3=64.
The solution is : 64 is limit.
What is limit?In mathematics, a limit is the value that a function approaches as the input approaches some value. Limits are essential to calculus and mathematical analysis, and are used to define continuity, derivatives, and integrals.
here, we have,
Given lim f(x) = 4.
We are given the limit of f(x) as x approaches 0 is 4.
We are asked to find the limit for 1/4 times (f(x))^4 as x approaches 0.
Let's use limit laws by bringing the limit inside the power.
So we have 1/4 * 4^4.
This equals 4^3=64.
Hence, The solution is : 64 is limit.
To learn more on limit click:
https://brainly.com/question/24169952
#SPJ7
HELP PLEASE NO LINKS!
Answer:
c. 60
Step-by-step explanation:
The remote angles theorem states that when one extends one of the sides of a triangle, the angle between one of the existing sides and the extension is equal to the sum of the two non-adjacent angles in the triangle. One can apply this theorem here by stating the following,
101 = 41 + x
Use inverse operations to solve for parameter (x),
101 = 41 + x
-41 -41
60 = x
please help with this math question
Q8. How many solutions does the system of equations have?
Answer:
it would be the first answer
Step-by-step explanation:
a solution is where the lines meet, and the coorinate is (1,4)
A line is parallel to y = 4x + 1 and
intersects the point (-2,-5). What is the
equation of this parallel line?
y = [?]x + [ ]
Answer:
-2,-5 is the value. The correct Answer
monkeeeeeeeeeeeeeeeeeeeeeee also help
[tex] \frac{9}{27} = \frac{1}{3} [/tex]
This is the simplest form of the fraction.
9/27 9 Council it self 1 and goes into 27 three times so the answer will be 1/3.
P and q are points on the line 2y-5x=10
Answer:
[tex]2y-5x =10\\when \ x = 0, \ 2y = 10 => y = 5\\\\\\when \ y = 0, -5x =10 => x =-2\\\\Therefore \ the \ coordinates \ of \ the \ points \ p \ and \ q\ are \ (0, 2) \ and \ (-2, 0)[/tex]
What two numbers that multiply to -115 but add to 10
Answer:
-1 and 10
Step-by-step explanation:
Here we answer the question: "What two numbers multiply to -10 and add up to 9?"
The answer to your question is:
-1 and 10
What is the length of AC?
If a is an odd number, then 2a is an even number,
Answer:
That would be correct!
Step-by-step explanation:
Hope this help :3
Answer:
yes
STEP-BY-STEP-EXPLANATION:
-2c + 8 - 7c - 6 -5c + 14 -5c + 14 -9c + 2 -9c + 2 9c - 14 9c - 14 5c + 14 5c + 14
Answer:
= -152c + 32
Step-by-step explanation:
sry if wrong
Plz help me well mark brainliest if correct,.........??
Answer: A
Step-by-step explanation:
Because to find the area I multiplied and got 72 then I looked up how to find them perimeter
Answer:
both A and B
Step-by-step explanation:
a's perimeter is 36 (6+6+12+12)
b's perimeter is 36 (4+4+14+14)
c's perimeter is 34 (9+9+8+8)
all the options equal to 72 sq. centi. if u multi
6*12=72
4*14=72
9*8=72
Using the Fundamental Theorem of Algebra. Complete the following exercises. Show your work.
Determine how many, what type, and find the roots for f(x) = x^4 + 21x^2 − 100.
Determine how many, what type, and find the roots for f(x) = x^3 − 5x^2 − 25x + 125.
Answer:
A) - Quartic polynomial
- has four roots
- roots are; f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)
B) - Cubic polynomial
- has 3 roots
- roots are; f(x) = (x - 5)²(x + 5)
Step-by-step explanation:
A) f(x) = x⁴ + 21x² − 100
The highest power in this polynomial is 4 and thus, it is called a quartic polynomial. This means that it will have 4 roots.
Factorizing this polynomial gives;
f(x) = (x² + 25)(x² - 4)
Equating to zero, we can find the roots. Thus, the roots are;
x = 5i
x = -5i
x = 2
x = -2
Thus, the completely factorized polynomial is;
f(x) = (x + 5i)(x - 5i)(x + 2)(x - 2)
B) f(x) = x³ − 5x² − 25x + 125
The highest power in this polynomial is 3. It is therefore a cubic polynomial with 3 roots.
Factorizing this polynomial gives;
f(x) = (x² - 25)(x - 5)
Equating to zero and Factorizing gives;
x = 5
x = -5
x = 5
Thus, completely factorized with the roots is;
f(x) = (x - 5)²(x + 5)
Three-fourths of the work related to $13,000 of cash received in advance was performed this period
A dry cleaning establishment claims that a new spot remover will remove more than 70% of the spots to which it is applied. To check this claim, the spot remover will be used on 15 spots chosen at random. If fewer than 11 of the spots are removed, we shall not reject thenull hypothesis that p= 0.7; otherwise, we conclude that p > 0.7.
Required:
a. Evaluate α, assuming that p = 0 .7.
b. Evaluate β for the alternative p = 0.9.
Answer:
α = 1 - 0,915 = 0.085
β = 0.314
Step-by-step explanation:
Dry cleasning clain that spot remover will remove the 70% of spot. The claim support the spot and chose at random.
Null hypothesis:
H0 : p = 0.7
If 11 of spot are removed then hypothesis rejected.
If 11 spots are not removed then hypothesis accepted
H1 : p >0/7
X is the number of spot and binomial random variable.
For a)
The probability of committing the type 1 error use alpha such as
α = P ( type I error)
where X > 10
and p = 0.7
for the given values where n = 12 and r = 10 and p - 0.7
we get
α = 1 - 0,915 = 0.085
b)
The nonrejection of the hypothesis where type II error is false .
The hypothesis for this is 0.9
This is Type II error
β = P ( type II error) = P ( X <= 10 where p = 0.9 )
Where n = 12 , r = 10 and p = 0.9
then
β = 0.314