Answer:
You cannot factor this.
Step-by-step explanation:
Nothing can multiply, to equal 2 and add up to 5.
A random sample of 500 registered voters from one state was obtained. The party affiliation and sex of each voter was recorded and is listed in the following table. (Follow standard statistical rounding rules for all computations.)
a) A journalist who writes for a statewide newspaper wants to construct a confidence interval for the true proportion of registered voters that are affiliated with Party X. Verify that all requirements for constructing such a confidence interval are met.
b) Construct a 99% confidence interval for the true proportion of registered voters that are affiliated with Party X. Show all work. (Hint: the critical value, the margin of error, p, q, the computation, etc.)
c) The Governor of the state believes that a majority of all registered voters in the state are affiliated with Party X because the confidence interval includes values greater than 50% Does the data in the table support the Governor’s belief? Justify your answer.
Using the z-distribution, it is found that:
a) There are more than 10 successes and 10 failures in the sample, hence the conditions are met.
b) The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).
c) Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.
Item a:
The requirement is that there are at least 10 successes and 10 failures in the sample.
244 out of 500 voters are affiliated with party X, hence 500 - 244 = 256 are not, meaning that there are more than 10 successes and 10 failures in the sample, hence the conditions are met.
Item b:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
244 out of 500 voters are affiliated with party X, hence:
[tex]n = 500, \pi = \frac{244}{500} = 0.488[/tex]
99% confidence level, hence[tex]\alpha = 0.99[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.99}{2} = 0.995[/tex], so [tex]z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.43[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.488 - 2.575\sqrt{\frac{0.488(0.512)}{500}} = 0.546[/tex]
The 99% confidence interval for the true proportion of registered voters that are affiliated with Party X is (0.43, 0.546).
Item c:
Since the lower bound of the interval is below 50%, the data in the table does not support the Governor's belief.
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How can you multiply fractions and mixed numbers?
Step-by-step explanation:
To multiply fractions:
Multiply numerator to numerator and multiply denominator to denominator. Simplify the answer.
To multiply mixed numbers:
Change mixed numbers into improper fraction. Then multiply numerator and denominator just like how you multiply the fractions. Simplify.
At her birthday party marcies guests are 2/3 of her birthday cake and her family ate 1/4 of the cake how much cake was left after her party
Answer: 1/12 of the cake.
Step-by-step explanation:
First, find the LCM (Least Common Multiple) of 3 and 4. The easiest way to do this is to multiply the two together. 3*4 = 12.
Now, convert each fraction to be out of twelfths. Do this by setting up a proportion. 2/3 = x/12. Cross multiply and divide. 2*12 = 24. 24/3 = 8. Therefore, 2/3 = 8/12.
Do the same for 1/4. 1/4 = x/12. Cross multiply and divide. 12*1 = 12. 12/4 = 3. Therefore, 1/4 = 3/12.
Now add these two fractions by adding the numerators and keeping the denominators the same. 8/12 + 3/12 = 11/12.
Subtract this answer from 1 (12/12). 12/12 - 11/12 = 1/12
change the following numbers to decimals and round to the nearest hundredth 3÷4 and ✔10
Answer:
0.75 and 10.00
Step-by-step explanation:
Use the clues and each of the numbers on the sign to complete the grid.
Clues
. All four numbers in a row must have a common factor greater than 1.
. Pairs of numbers in a column must have a common factor greater than 1.
Answer:
prayers lang po katapat nyan
Javier worked 45 hours last week. His hourly rate for hours worked is $ 8.75 . After his 40 hour work week, he is paid time and a half for overtime. What is Javier’s gross pay for last week?
The gross pay that Javier gets for last week is $415.625.
What is rate?Rate is a measurement to determine the change in one quantity with respect to another quantity.
Given that,
Rate for 1 hour = $8.75,
Since, Javier worked 45 hours last week,
So total amount got by Javier = 45×8.75=393.75
According to condition,
Last 5 days Javier is paid half more amount for overtime,
Therefore,
Javier amount of overtime gets by Javier in last 5 days
=8.75×5/2
=21.875
Total amount = 393.75+21.875=415.625
So the gross pay for last week is $415.625.
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If two events (both with probability greater than 0) are mutually exclusive, then:
Answer:
they are not independent
Step-by-step explanation:
they are not independent they would be independent if they didn't depend on each other or if the probability didn't affect the other.
Heyyyyyyyyyyyyyyyyyyyyyyyyyy!
You are given a loaded six-sided die. Such a die can produce any integer from 1 to 6. The die rolls a 4 three times as often as any other number. i. What is the probability of getting a 4
I need to understand this can anyone explain me the easiest way please
Find f(g(2)).
f(x) = 2x + 1
g(x) = 5x
10
12
21
-14
Answer:
21
Step-by-step explanation:
First, we have to find g(2)
Plug in 2 in the g(x) equation
g(2) = 5(2) = 10
Now, we have f(10)
Pug in 10 in the f(x) equation
f(10) = 2(10) + 1
f(10) = 20 + 1 = 21
A shadow 12 meters long is cast by a water tower that is 16 meters tall. What is the length of the shadow cast by a nearby utility pole that that is 12 meters tall?
A. 6
B. 9
C. 13
D.16
perdón xbdkdbsjjznsNxnznxn
answer me......
...................
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........
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Answer:
Step-by-step explanation:
Okay! What times 9 is 90? 10!
what times 8 is 72? 9!
what times 7 is 56? 8
what times 6 is 42? 7!
what times 5 is 30? 6!
what times 4 is 20? 5!
what times 3 is 12? 4!
Do you see the pattern?
9=90
8=72
7=56
6=42
5=30
4=20
3=12
2=6
1=2
HOPE THIS HELPPEDD :3
Alguém me ajuda pfv rápido
Answer:
9.72
Step-by-step explanation:
1.8 x 1.8 x 3 = 9.72
to Linear Fun -unctions Which of the following terms in the equation y=xy + x + 20 makes it nonlinear? y DOOO ху 20
Answer:
xy
Step-by-step explanation:
What is the answer I’m so stuck on this one
Answer:
The answer is A
Step-by-step explanation:
9,962÷41. What dose it =
Answer:
242.975609756
Step-by-step explanation:
Answer:
242.975
Step-by-step explanation:
TIP: u can use a calculator if your teacher allows you, it would be faster :)
A pattern maker uses 526 yards of muslin cloth each month. The cloth comes on bolts, or rolls, that hold 15 yards each.
How many bolts of muslin cloth does the pattern maker use each month?
Answer: 35.067 or 36, depending on if you need to round or not.
Step-by-step explanation:
The equation for how many bolts the pattern maker needs can be represented as 15x = 526. To find x, divide 526 by 15. 526/15 = 35.067. If you need to, round up to the nearest whole number. 35.067 rounds to 36.
-3, -8, -13, -18,.. Find the nth term
Answer:
The nth term of the sequence is -5n + 2 (or 2 - 5n)
Answer:
[tex]a_{n}[/tex] = - 5n + 2
Step-by-step explanation:
There is a common difference between consecutive terms , that is
- 13 - (- 8) = - 18 - (- 13) = - 5
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 3 and d = - 5 , then
[tex]a_{n}[/tex] = - 3 - 5(n - 1) = - 3 - 5n + 5 = - 5n + 2
an alloy is 70% iron. How much of this alloy do you need if you want to obtain 50.35 lb of iron?
Answer:
1007/20
Step-by-step explanation:
You helped me so i help you. Here you go my friends sorry i dont have an explanation. Good luck !
Use proportions. X is what you want.
70 50.35lb
__ = _____
100 x
Cross multiply to get 70x = 5035
Solve to get about 71.93 lbs of the alloy.
Q6) U= {1,2,3,4,5,6,7,8,9,10}
A={1,3,5,7,9)
B= {2,4,5,8)
C={1,10}
D={1,3,6,7,8}
Mention
. AUB
. An B
. (AnB) n (BU A)
. AU (BnC)
. CUD
Answer:
AUB={1,2,3,4,5,7,8,9}
ALL THE NUMBERS WITHOUT REPEATING
AnB={5}
THE NUMBER THE HAVE IN COMMON
(AnB)n(BnC)={5}not too sure
CUD={1,3,6,7,8,10}
13. Perry drew a design for a number cube
and marked it with the given dimensions,
Find the surface area of the design.
Answer:
150 cm square
Hope this helps!
Write 5y to the 3rd power without exponents
Answer:
5y*5y*5y
Step-by-step explanation:
uhh no explanation cuz logic
The 3rd power of the term 5y without exponents is 125.y.y.y
What is power of any number?If a is any positive number and n is its power , then aⁿ means a is multiplied by itself n times
The given term is 5y,
To find the third power of 5y,
The cube of 5y = (5y)³
To write the 3rd power without exponents,
Simplify the term (5y)³.
(5y)³ = 5y x 5y x 5y
= 125 y.y.y
The required 3rd power of 5y without exponents is 125.y.y.y.
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The manager of a children's puppet theatre has determined that the number of adult
tickets he sells for a Saturday afternoon show is a random variable with a mean of 28.3
tickets and a standard deviation of 5.3 tickets. The mean number of children's tickets he
sells is 42.5, with a standard deviation of 8.1.
(a) The adult tickets sell for $10. Let A = the money he collects from adult tickets on a
random Saturday. What are the mean and standard deviation of A?
Applying statistical concepts of multiplication of a variable by a constant, it is found that the mean of A is of $283, while the standard deviation is of $53.
When a constant is multiplied to each data in a variable:
The mean is multiplied by this constant. The standard deviation is multiplied by this constant.In this question, the variable has mean 28.3 and standard deviation of 5.3, and is multiplied by 10, hence:
[tex]28.3(10) = 283[/tex]
[tex]5.3(10) = 53[/tex]
The mean of A is of $283, while the standard deviation is of $53.
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_8+5 I need helpplz
Answer:
8 plus five is 13..
Step-by-step explanation:
Find the missing value using the given information
(4,p), (p,-3), m=5/3
Answer:
p = 11/8
Step-by-step explanation:
We are trying to find the slope, so use the slope formula
m = ( y2-y1)/(x2-x1)
5/3 = ( -3 -p)/ ( p-4)
Using cross products
5(p-4) = 3(-3-p)
5p-20 = -9-3p
Add 3p to each side
5p+3p -20 = -9-3p+3p
8p-20 = -9
Add 20 to each side
8p-20+20 =-9+20
8p =11
Divide by 8
8p/8 = 11/8
p = 11/8
what is the measure of angle x?
Answer:
180
Step-by-step explanation:
Find the value of X in triangles by subtracting known angle measurements from 180 degrees. Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle.
A number x increased by 4 is less than or equal to 27.
Answer:
x + 4 < 27
-4. -4
x > 24
Step-by-step explanation:
put lines under signs
If x^2 - (3x-a) (bx-1) = c, where a, b, and c are constants, what id the value of c?
A. 9
B. 7
C. 13
D. 2
pls help me right now! and answer correctly
Answer:
8.a 9.d 10.a 11.b
Step-by-step explanation:
this is multiple one .so no steps
The total cost of going to the theatre for 18 people is £803.16.
How much will each person need to pay to cover the total cost?