Answer:
sample mean
Step-by-step explanation:
Using the normal distribution and the central limit theorem, considering that this is a sample proportion, as we are dealing with percentages, it is found that there is a 0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample proportions of a proportion p in a sample of size n has mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex].In this problem:
55% of the registered voters are Democrats, hence [tex]p = 0.55[/tex].A sample of size 100 is taken, hence [tex]n = 100[/tex]The mean and the standard deviation of the sampling distribution of sample proportions are given by:
[tex]\mu = p = 0.55[/tex]
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.55(0.45)}{100}} = 0.04975[/tex]
The probability of getting less than 50% Democrats in a random sample of size 100 is the p-value of Z when X = 0.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.5 - 0.55}{0.04975}[/tex]
[tex]Z = -1.01[/tex]
[tex]Z = -1.01[/tex] has a p-value of 0.1562.
0.1562 = 15.62% probability of getting less than 50% Democrats in a random sample of size 100.
To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213
Ashin has been working in UAE for a decade and saved AED 125,500 which he wants to transfer now to his parent's account in India. Keeping in mind the AED – INR exchange rate for the day, which is AED 1 = 20 (approx.), find the amount of money which Arshad's parents will withdraw in India.
Answer:
2510000 INR
Step-by-step explanation:
Given
[tex]Savings = AED 125500[/tex]
[tex]1\ AED =20\ INR[/tex]
Required
The amount that will be withdrawn in India
We have:
[tex]1\ AED =20\ INR[/tex]
Multiply both sides by the savings
[tex]125500 * 1\ AED =20\ INR * 125500[/tex]
[tex]125500\ AED =125500 * 20\ INR[/tex]
So, we have:
[tex]125500\ AED =2510000\ INR[/tex]
Hence, the amount that will b withdrawn is: 2510000 INR
Select the function that matches the graph
Answer:
y=3x+1
Step-by-step explanation:
the y is postitive 1 and the slope is 3
Someone please help quickly! <3
Answer:
answer is C just look at the line and see where they intersect...
Step-by-step explanation:
hope this helps^_^ plz give brainliest and rating
Simplify (2-6)(5)(23 . 5)2.
The set of possible outcomes of a probability experiment is called the ___ ___
A- sample space
B- simulation
C- fair game
D- dependent events
Answer:
A
Step-by-step explanation:
What is the area of the trapezoid below? Use the formula A=h/2 x (b1 + b2)
48 in?
096 in
144 in
288 in
Answer:
C:144 inches
Step-by-step explanation:
A=h/2 x (b1+b2)
A= 16/2 x (6+12)
A=8x18
A=144 inches
Two shops sell the same brand of baked beans but in different sizes of tin. Calculate the price of 1 kg of baked beans for each shop. Give your answers in pence.
Answer:
Shop A = 113 pence
Shop B = 101 pence
Step-by-step explanation:
Given :
Shop A :
5kg for £5.65
Shop B:
2kg for £2.02
Price per kg :
weight / price
100 pence = £1
Shop A :
Price of 1kg :
5.65 / 5 = £1.13 = 113 pence
Shop B:
2.02 / 2 = £1.01 = 1.01 * 100 = 101 pence
Write an expression using letters and/or numbers for each problem below. NO BOTS 15 POINTS!
Nithila has increased her $45 by m dollars and then spends one-third of the amount
Joaquin has d more than three times the number of baseball cards as Sam. Sam has f baseball cards.
Answer: 1/3(45+m) and + or + f
Step-by-step explanation:
It says it during the expalaining of the word problem to write an expression out of it
Breainliest please.
The perimeter of an equilateral triangle is 9 inches more than the perimeter of a square, and the side of the triangle is 6 inches longer than the side of the square. Find the side of the triangle.
Answer:
9 inches
Step-by-step explanation:
Perimeter of equilateral triangle = 3x
Perimeter of square = 4x
3(x + 6) = 9 + 4x
3x + 18 = 9 + 4x
-x = -9
x = 9
ACELLUS HELP ASAP
a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a large given that he or she ordered a cold
drink?
Rounded to the nearest percent, [? ]%
Enter
Exchange the digits in lakhs and tens places of the number 6,10,932 and find the sum of the new number and the original number.
Answer: [tex]9,21,894[/tex]
Step-by-step explanation:
Given
The given number is 6,10,932
Value at lakhs place is 6
value at tens place is 3
Exchange them to get a new number i.e. 3,10,962
Now, the sum of the original and new number is
[tex]6,10,932+3,10,962=9,21,894[/tex]
A parallelogram has a base of 6.1 meters and a height of 3.6 meters. What statements are true about the area of the parallelogram? Select all that apply. The area can be found using the formula A = b h The area can be found using the formula A = one-half b h The area can be found using the formula A = s squared The area is 9.7 m2. The area is 21.96 m2.
Step-by-step explanation:
3.6 m
O The area can be found
using the formula A=-bh
The area can be found using the formula A=52. 6.1 m.
Answer: A & E
Step-by-step explanation:
The area can be found using the formula A = b h
The area is 21.96 m2.
Thanks to both of the people that’s helping mee!!❤️
Answer:
s = 17 inches
Step-by-step explanation:
Since this is a parallelogram, it has two sets of equal sides. We are given that one of the sides is 19 and the perimeter is 72. Therefore, \
72 = 2*s + 2*19
72 = 2*s + 38
34 = 2*s
s = 17
Answer:
17
Step-by-step explanation:
19 + 19 = 38
38 divided by 2 = 17
Add the given length to itself again because the other side is equal.
Which would be 38. Divide by 2 since there are two missing lengths that need to be solved (s). And your final answer is 17!
***NOTE YOU WOULD EARN 40 POINTS IF YOU ANSWER THIS QUESTION***
Answer:
mint
Step-by-step explanation:
Solve and Simplify: 8 - 6_3/9
Answer:
Exact form: 3/5
Decimal form: 1.6
Mixed number form: 1_ 2/3
Points A and B have the same x-coordinates but opposite y-coordinates. point A is 4 units to the left and 3 units up. Point B is 4 units to the left and 3 units down. How many units away are each of the points from the y-axis? 3 4 6 7
Answer:
4 Units
Step-by-step explanation:
The x-coordinate of points A and B is -4, the y-axis vertically at x=0.
Therefore point A and B are 4 units away from the x-axis.
Answer:
4
Step-by-step explanation:
What is the perimeter of the rectangle with the vertices shown below? A(4, 7), B(4, 15), C(9, 15), D(9,7)
Answer:
[tex]X=26[/tex]
Step-by-step explanation:
From the question we are told that:
Co_ordinates of rectangle:
[tex]A(4, 7),\\ B(4, 15),\\C(9, 15),\\D(9,7).[/tex]
Generally the equation for rectangular Perimeter X is is mathematically given by
[tex]X=2(length+breath)\\X=2L+2B[/tex]
Generally the Length of the rectangle is mathematically given by
[tex]L=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ D)\\or\\L=(y\ axis\ co-ordinate\ of\ B)-(y\ axis\ co-ordinate\ of\ A)[/tex]
Therefore
[tex]L=15-7\\L=8[/tex]
Generally the Breath of the rectangle is mathematically given by
[tex]B=(x\ axis\ co-ordinate\ of\ D)-(x\ axis\ co-ordinate\ of\ A)\\or\\B=(y\ axis\ co-ordinate\ of\ C)-(y\ axis\ co-ordinate\ of\ B)[/tex]
Therefore
[tex]B=9-4\\B=5[/tex]
Generally the rectangular Perimeter X is is mathematically given by
[tex]X=2(8)+2(5[/tex]
[tex]X=26[/tex]
Complete the sentence.
1. If 5/8 = m/n, then 10/16 =
2. If 7/p = 3/q, then 7+p/p =
3. If 9+m/m = 9/3, then 9/m =
PLS HELP. I NEED THIS DONE ASAP. ITS DUE TODAY :(
Answer:
1. 2m/2n
2. 3/q + 1
3. 9/3 - 1
Step-by-step explanation:
i think this is the ans
Find the degree of the monomial.
-4a^4
Answer:
the degree is 4
Step-by-step explanation:
the exponent of the monomial of is 4 so the degree is 4
Answer:
4
Step-by-step explanation:
The degree of a monomial refers to the exponent of the term. In this case, the term is to the degree (4) because its exponent is (4).
Quadrilateral LMNO is similar to quadrilateral PQRS. Find the measure of side QR.
Round
your answer to the nearest tenth if necessary. Figures are not drawn to scale.
Answer:
The measure of the side [tex]QR[/tex] is 8.8.
Step-by-step explanation:
Since [tex]LMNO \sim PQRS[/tex], then [tex]SP \propto OL[/tex], [tex]RS \propto ON[/tex], [tex]RQ \propto MN[/tex] and [tex]QP \propto LM[/tex]. From figure we have the following relationship:
[tex]k = \frac{OL}{SP} = \frac{ON}{RS} = \frac{MN}{QR} = \frac{ML}{QP}[/tex] (1)
Where [tex]k[/tex] is the proportionality ratio.
If we know that [tex]SP = 13, OL = 55, MN = 37[/tex], then the measure of side [tex]QR[/tex] is:
[tex]k = \frac{OL}{SP}[/tex] (1b)
[tex]k = \frac{55}{13}[/tex]
[tex]k = \frac{MN}{QR}[/tex]
[tex]QR = \frac{MN}{k}[/tex] (1c)
[tex]QR = \frac{37}{\frac{55}{13} }[/tex]
[tex]QR = 8.745[/tex]
The measure of the side [tex]QR[/tex] is 8.8.
on a quiz harry got 12 out of 15 items correct.what was his quiz score
3. Using a scale factor of 1 in to 2.5 feet, if a model of a fire truck measured 12 inches, how many
feet is the actual fire truck?
A. 30ft
B. 30in
C. 15ft
D. 15 in
distance
Answer:
30ft.
Step-by-step explanation:
1 in = 2.5 ft
For every inch, we multiply by 2.5.
2.5 * 12 = 30
Solve (x - 3)^2+7=97, where X is a real number. Round your answer to the nearest hundredth.
Answer:
x ≈ - 6.49, x ≈ 12.49
Step-by-step explanation:
Given
(x - 3)² + 7 = 97 ( subtract 7 from both sides )
(x - 3)² = 90 ( take the square root of both sides )
x - 3 = ± [tex]\sqrt{90}[/tex] ( add 3 to both sides )
x = 3 ± [tex]\sqrt{90}[/tex]
Then
x = 3 - [tex]\sqrt{90}[/tex] ≈ - 6.49 ( to the nearest hundredth )
x = 3 + [tex]\sqrt{90}[/tex] ≈ 12.49 ( to the nearest hundredth )
HELP THE TEACHER IS ASKING FOR MY ANSWERS CUZ I WAS SUPPOSED TO DO IT AND I NEVER WAS PREPARED PLSSS HELP IM NEXT PLS DRAW IT FOR MEE :( EVEN IF ITS EDITED I WOULD APPRECIATE TYSM HAVE A GOOD DAY! (And if u don’t know 1 u don’t have to do both only one but pls try :(
Answer:
Hope this helps!!
Step-by-step explanation:
1.
35, 56, 34, 44, 52, 12, 34, 45
Mean:
Median:
Mode:
Answer:
Mean x¯¯¯ 39
Median x˜ 39.5
Mode 34
Step-by-step explanation:
Mean: 39
Median: 39.5
Mode: 34
[tex]10 \times 10[/tex]
Answer:
100
Step-by-step explanation:
Because you just add 10, 10 times
A person lost in an office building travels up 3 floors in an
elevator, then down 1 floor, then up 5 more floors, then
down another 4 floors. What number sentence would
represent this situation?
Answer:
B. +3 - 1 + 5 - 4
Step-by-step explanation:
The plus means going up and the negative means you are going down.
You are going up 3 floors (+3)
You are going down 1 floor ( -1)
You are going up 5 floors (+5)
You are going down 4 floors (-4)
Let me know if this helps!
Which three-dimensional figure does NOT have a vertex? (a) cylinder (b) rectangular prism (c) rectangular pyramid (d) triangular prism
Find each value. ORDER MATTERS!
a) P(12, 5) *read as 12 items being taken 5 at a time*
=?
b) P(8, 8)
=?
(HINT: Think 8 x 7 x 6 x 5....etc.)
Answer:
P(12, 5) = 95040
P(8,8) = 40320
help please this is hard
Answer:
m∠A = 120°
m∠C = 45°
Step-by-step explanation:
all triangle angles add up to 180
(12x + 12) + 15 + (3x +18) = 180
15x + 45 = 180
15x = 135
x = 9
m∠A = (12x + 12) = 12(9) + 12 = 120
m∠C = (3x +18) = 3(9) + 18 = 45