Answer:
y=cotx
Step-by-step explanation:
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.
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
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
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
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
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 ................
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
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:
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
Which one doesn't belong? Why?
I
PLEASE SOMEONE HELPP
Answer:
it is the yellow square. hope this helps
Step-by-step explanation:
please mark me brainliest i only need 1 more to level up :)
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]
The cost for two different companies to make x candles is shown on the graph.
Which comparison between the two companies is accurate?
A) The cost per candle made is $1 greater for Quick Wick.
B) There is a $1 difference between the initial values of the two companies.
C) Quick Wick will make 50 candles at a higher cost than Wax Art.
D) Quick Wick will make more candles when the cost is $600.
Answer:
D) Quick Wick will make more candles when the cost is $600.
Step-by-step explanation:
Find the initial value (b) and the cost per candle (m), to write the equation of each line in the slope-intercept form, y = mx + b. This will help for easy comparison.
✔️Wax Art:
m = change in y/change in x
Using (10, 140) and (20, 180),
m = (180 - 140)/(20 - 10) = 40/10
m = 4
Cost per candle = $4
To find b, substitute (x, y) = (10, 140) and m = 4 into y = mx + b
140 = 4(10) + b
140 = 40 + b
140 - 40 = b
100 = b
b = 100
Initial value = $100
To get the equation, substitute m = 4 and b = 100 into y = mx + b
y = 4x + 100
✔️Quick Wick:
m = change in y/change in x
Using (10, 120) and (30, 180),
m = (180 - 120)/(30 - 10) = 60/20
m = 3
Cost per candle = $3
To find b, substitute (x, y) = (10, 120) and m = 3 into y = mx + b
120 = 3(10) + b
140 = 30 + b
120 - 30 = b
90 = b
b = 90
Initial value = $90
To get the equation, substitute m = 3 and b = 90 into y = mx + b
y = 3x + 90
Let's analyse each option given using the information we now have:
✔️Option A: INCORRECT
Cost per candle for made is $1 less for Quick Wick. I.e. cost per candle for Quick wick is $3. Cost per candle for Wax Art is $4.
✔️Option B: INCORRECT
Difference between the initial value sof the two companies = $100 - $90 = $10
✔️Option C:
Find the cost of making 50 candles for each company by substituting x = 50 into each of their equations. Thus:
Wax Art => y = 4x + 100
y = 4(50) + 100
y = $300
Wax Art will make 50 candles for $300
Quick Wick => y = 3x + 90
y = 3(50) + 90
y = $240
Quick Wick makes 50 candles for $240
As we can see, Quick wick is making 50 candles at a lower cost than Wax Art.
Therefore, option C is INCORRECT.
✔️Option D: find out how many candles (x) each company will make when the cost is $600.
Substitute y = 600 in each equation of both companies
Wax Art => y = 4x + 100
600 = 4x + 100
600 - 100 = 4x
500 = 4x
500/4 = x
x = 125 candles
Quick Wick => y = 3x + 90
600 = 3x + 90
600 - 90 = 3x
510 = 3x
510/3 = x
x = 170 candles
Quick Wick will make more candles when he cost is $600.
Therefore, option D is the only CORRECT statement of comparison.
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)
I'm a bit confused about this, can anyone help? Giving 69 points to whoever answers by 12:30 PM (PST)!!
Find the area of the polygon:
Answer: i can give you tips of how to find the area of a polygon.
OK SO To find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides.
Step-by-step explanation:
And you have to add all the sides of the lengths of the sum of the polygon
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.
Find the distance from A(-8,-3,-2) and B(-4,8,0) , find ||AB||
Answer:
[tex]||AB|| = 11.8743[/tex]
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1,z_1)[/tex] and [tex](x_2,y_2,z_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}[/tex]
Distance from A(-8,-3,-2) and B(-4,8,0)
[tex]||AB|| = \sqrt{(-4-(-8))^2+(8-(-3))^2+(0-(-2))^2}[/tex]
[tex]||AB|| = \sqrt{4^2 + 11^2 + 2^2}[/tex]
[tex]||AB|| = 11.8743[/tex]
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)
pls help. due tmrw. will give brainliest
Answer:
0
Step-by-step explanation:
A coin is tossed 15 times. Find the probability of tossing seven or eight heads.
What is the length of AC?
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
Select the correct answer,
Which risk should be avoided for short-term investments?
OA
market risk
OB. liquidity risk
Ос.
credit risk
OD.
business risk
Answer:
b
Step-by-step explanation:
liquidity risk. because the shorter the term the lesser the liquidity.
help me please im dum ...
Answer:
100
Step-by-step explanation:
1/2 x b x h
1/2 x 20 x 10
100
PLEASE HELP MAX POINTS ONE OF THE LAST ASSIGNMENTS IN THE SEMESTER, I HAVE 4 HOURS TO FINISH MY HOMEWORK
can complementary angles be supplementary?
be sure to include a drawing of proof, look at screenshot for more details
Answer:
Two angles are called complementary if their measures add to 90 degrees, and called supplementary if their measures add to 180 degrees. ... For example, a 50-degree angle and a 40-degree angle are complementary; a 60-degree angle and a 120-degree angle are supplementary
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
Set up an equation and solve for the unknown number.
“The sum of 4 and a number is equal to twice that same number”
A film on TV starts at 8:30 pm. If the film takes 136 minutes, at
what time does it end?
Answer:
10:46
Step-by-step explanation:
8:30 + 136 min.
= 8:30 + 2:16
= 10:46
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
Three-fourths of the work related to $13,000 of cash received in advance was performed this period
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