Answer: Answer:
A) 98% Confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B
= (0.51, 0.57)
This means that the true proportion of all thay would chose opinion B can take on values between the range of (0.51, 0.57)
B) For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.
_________________________________________________________
Step-by-step explanation:
Confidence Interval for the population proportion is basically an interval of range of values where the true population proportion can be found with a certain level of confidence.
Mathematically,
Confidence Interval = (Sample proportion) ± (Margin of error)
Sample proportion of all US buyers of this particular app who would have chosen Opinion B = 0.54
Margin of Error is the width of the confidence interval about the mean.
It is given mathematically as,
Margin of Error = (Critical value) × (standard Error)
Critical value at 98% confidence interval for sample size of 1500 is obtained from the z-tables.
Critical value = 2.33
Standard error = σₓ = √[p(1-p)/n]
p = sample proportion = 0.54
n = sample size = 1500
σₓ = √(0.54×0.46/1500) = 0.0128685664 = 0.01287
98% Confidence Interval = (Sample proportion) ± [(Critical value) × (standard Error)]
CI = 0.54 ± (2.33 × 0.01287)
CI = 0.54 ± 0.02998)
98% CI = (0.51, 0.57)
98% Confidence interval = (0.51, 0.57)
B) The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met?
For this confidence interval to be obtained using sample data, a couple of conditions are necessary to be satisfied. They include;
- The sample data must have been obtained using a random sampling technique.
- The sampling distribution must be normal or approximately normal.
- The variables of the sample data must be independent of each other.
On the second point, the condition for a binomial distribution to approximate a normal distribution is that
np ≥ 10
and n(1-p) ≥ 10
The quantity np is the actual sample mean which is the actual number of buyers that chose Opinion B while n(1-p) is the number of buyers that did not chose Opinion B.
For the confidence interval obtained to be valid, the conditions stated must be satisfied and for the sampling distribution to be approximately normal, the number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B must both be greater than 10.
Step-by-step explanation:
have no idea how to do this
Answer:
ans: option C is correct answer
Step-by-step explanation:
follow steps as shown in picture above,
show that 21^n, n €N can never ends with 0,2,4,6 and 8
Answer:
Step-by-step explanation:
[tex]21 ^n = (3 \times 7)^n[/tex]
21 has no 2 in it's prime factorization. So it can never end in 0, 2 , 4 , 6 , 8.
OR
Odd number raise to any number is always odd, Which does not include 2, 4, 6 , 8.
So [tex]21^n[/tex] does not end with 0, 2, 4 , 6 , 8.
Martha has two pet poodles. Fifi, her standard poodle, weighs 7 times as much as
Buttercup, her toy poodle.
Pick the diagram that models the ratio in the story.
Fifi
Buttercup
Fifi
Buttercup
If Fifi weighs 56 pounds, how much does Buttercup weigh?
pounds
Answer:
Buttercup weighs 8 pounds
Step-by-step explanation:
Sorry I can't pick a diagram, since we can't see a photo.
if b is Buttercup and f is Fifi, substitute in Fifi's weight, and solve for b
b x 7 = f
7b = 56
divide both sides by 7
b = 8
Help I need a answer
Answer:
C
Step-by-step explanation:
The verticle line on the left is the minimum and is 4 for both
Area of the grass area only:
Area of the track only:
Answer:
Step-by-step explanation:
area including track=area of 2 semi circles+area of rectangle
=2×1/2×π×46²+86×65
=2116 π+5590
area of grass=2×1/2×π×40²+80×65=1600π+5200
≈10226.55 m²
area of track=2116π+5590-1600π-5200
=516π+390
≈2011.06 m²
Melanie recorded a number with two sevens. The value of the first 7 is 7,000. The value of the second 7 is 700. Which could be Melanie's number?
Answer:
7700.
im not sure if the 00 are to be other numbers but 7700 should be your number
The graphs of f(x) and g(x) are shown.
If g(x)=f(x)+k, what is the value of k?
Answer:
the answer is :
value of k is 2
2x/7-3=2
What is the value of x
Answer:
35/2 or 17.5
Step-by-step explanation:
2x / 7 - 3 = 2
2x / 7 - 3 + 3 = 2 + 3
2x / 7 = 5
(2x /7) x 7 = 5 x 7
2x = 35
x = 35/2 or 17.5
Answer:
[tex]x = \frac{35}{2} [/tex]
Step-by-step explanation:
[tex] \frac{2x}{7} -3=2[/tex]
[tex] \frac{2x}{7} = 2 + 3[/tex]
[tex]\frac{2x}{7} = 5[/tex]
[tex]x = \frac{7}{2} \times 5[/tex]
[tex]x = \frac{35}{2} [/tex]
Decimal Form:
[tex]x = 17.5[/tex]
Mixed Number Form:
[tex]x = 17 \frac{1}{2} [/tex]
Hope it is helpful...Ms. Joseph is saving money for a trip to Zearnland over 12 weeks. She starts with 1 dollar. In the second week, she adds 2 dollars. Each week she adds 1 more dollar than she did the week before. How many weeks will she be saving money?
Answer: $78
Step-by-step explanation:
You start out with $1
$2 = second week $3 = third week $4 = fourth week $5 = fifth week $6 = sixth week $7 = seventh week $8 = eighth week $9 = ninth week $10 = tenth week $11 = eleventh week $12 = twelth week
then you add it all up = 1+2+3+4+5+6+7+8+9+10+11+12 that would equal to $78
Find the equation of the line with slope zero passing through A(-4, 7).
Answer:
y =7
Step-by-step explanation:
A line with zero slope is
y = constant
The y value for the point is 7
y =7
Answer:
0x+7=y
Step-by-step explanation:
0(-4)+b=7
0+b=7
b=7
Solve for b. -11b+7 =40 what does b equal
What is the value of tan (–3 pi/4 )?
What is the solution to the inequality below x2 > 64
Answer:
Step-by-step explanation:
x2
A: What is the smallest increment on the voltmeter
B: What is the uncertainty
(Multi choice)
1. A: 10 V
2. A: 1 V
3. A: 100 V
4. B: 5 V
5. B: 0.5 V
6. B: 50 V
Answer:
RESOLUTION
Step-by-step explanation:
Resolution is the smallest increment a tool can detect and display. For a nonelectrical example, consider two rulers.
What I Can Do
Construet an appropriate graph for the Charity donations of each grade level in a high school:
Answer:
You should have a graph that has the words on the y axis Grade 7 Grade 8 Grade 9 and Grade 10 on each differnt line. Than put the number corosponding to the grade on each line, making the graph rise up and down.
Step-by-step explanation:
Can't make one.
which statement would be true if you evaluate the expression 15x(465x4)
a. the solution is 5 times as small as 3x(465x4)
b. the solution is 3 times as small as 3x(465x4)
c. the solution is 3 times as large as 5x(465x4)
d. the solution is 3 times as large as 5x(465+4)
Answer:
c. the solution is 3 times as large as 5x(465x4)
Step-by-step explanation:
I assume you are using the letter x as the multiplication sign.
Start with:
15 x (465 x 4)
We know that 15 = 3 x 5
Now we replace 15 with 3 x 5 in the original expression.
15 x (465 x 4) = 3 x 5 x (465 x 4)
Answer: c. the solution is 3 times as large as 5x(465x4)
A salesman is paid $450 a week, plus a commission of 35 cents for every item that he sells. Write a linear function where the paycheck, P, of the salesman is a function of the number, N, of items he sells. If the salesman only has 1400 items available to sell each week, find the domain and range of the function.
Answer:
Step-by-step explanation:
1400×0.35
490+450
940
Answer:
The domain is thus [0, 1400].
The range is thus [$450, $940]
Step-by-step explanation:
A suitable function is P(N) = ($450) + ($0.35 / item)*N, where $450 is the base pay per week and N is the number of items sold.
In this case the salesman has only 1400 items available to sell each week. Therefore N begins at 0 (no items to sell) and ends at 1400 (the max number of items available to sell). The domain is thus [0, 1400].
The smallest amount the salesman could receive would be when he has not sold any items: $450.
The max amount is then $450 + ($0.35/item)(1400 items), or
$450 + $490, or
$940
The range is thus [$450, $940]
At 6 a.m., the temperature was –8°C. By noon, the temperature had risen 6°C. The temperature at 6 p.m. was –10°C. Which integer represents the temperature change between noon and 6 p.m.?
–24
–12
–8
–4
Answer:
-8
Step-by-step explanation:
so -8 + 6 = -2. and then for that to drop to -10, it would have to change -8 degrees
Answer:
Step-by-step explanation:
-8 is the answer
Challenge. Add a number to the original data set based on the instructions below:
Original data set:
3, 10, 8, 3, 10, 1, 10,
A)
Fill in the blank with a number that would make the range of the data set 20.
3, 10, 8, 3, 10, 1, 10,
B)
Fill in the blank with a number that would make the mean of the data set 15.
3, 10, 8, 3, 10, 1, 10,
C)
Fill in the blank with a number that would make the standard deviation smaller.
3, 10, 8, 3, 10, 1, 10,
Answer:
A) 23
B) 75
C) 6.30
Step-by-step explanation:
A) Range = highest value - least value
Range = 20
least value = 3
Thus,
20 = highest value - 3
highest value = 20 + 3
= 23
The number that would make the range of the data set 20 is 23.
B) Let the number be represented by x, so that;
15 = [tex]\frac{3 + 10 + 8 + 3 + 10 + 1 + 10 + x}{8}[/tex]
cross multiply to have
15 x 8 = 45 + x
120 - 45 = x
x = 75
The number that would make the mean of the data set 15 is 75.
C) The given data plus a number that is close to the mean would reduce the standard deviation.
mean of the data set = [tex]\frac{3+10+8+3+10+1+10}{7}[/tex]
= 6.43
The required number could be 6.30
Write the equation of a line perpendicular to y = -5x + 1 that goes through (10. 4).
Show all work.
Answer:
y = 1/5x + 2
Step-by-step explanation:
y = 1/5x + b
4 = 1/5(10) + b
4 = 2 + b
2 = b
Consider this right triangle. Determine whether each equation is correct. Select yes or no using the dropdown for each equation.
Answer:
Yes
Yes
NO CosD = 5/13
Yes
A pencil company packs pencils in boxes of 8. How many boxes can they pack with 32,000 pencils? *
A 40,000
B 4,000
C 400
D 40
Answer:
B: 4,000
Step-by-step explanation:
32000/8=4000
Answer:
4000
Step-by-step explanation:
32000/8............
If K(4,-5) is rotated counter clockwise 270°, what will be the coordinates of its image?
K'(5,-4)
K'(5, 4)
K'(-4,5)
K'(-5,-4)
Answer:
(-5, -4)
Step-by-step explanation:
The formula for a point (x, y) rotating 270 degrees counterclockwise is that it turns into (y, -x). Thus, for (4, -5), its image would be (-5, -4)
A Triangle on a coordinate plane is translated according to the rule T-8, 4(x, y). Which is another way to w
rule?
• (X,Y) (x+4,y-8)
• (X,Y) → (X-4, y-8)
• (X,Y)(-8, y+4)
• (x,y) → (x+8, y-4)
Answer:
C (x, y) - (x - 8, y + 4)
Step-by-step explanation:
b) Write 25 x 10^6 in standard form.
Answer:
25000000
hope this helps
have a good day :)
Step-by-step explanation:
Determine the answer to (-3) + (-5) using a number line
Answer:
---
Step-by-step explanation:
Start at -3. Then subtract 5 from it(or go backwards 5).
---
hope it helps
please help. i have no clue how to do volume of spheres
Step-by-step explanation:
the answer is a
4/3πr^3
4/3*22/7*5^3
if logx √2 = 1/6
, then x =?
Step-by-step explanation:
logx√2=1/6
<=> logx(2^1/2)=1/6
<=>1/2.logx(2)=1/6
<=>logx(2)=1/3
<=>2=x^1/3
<=>x=
Sorry I forgot the formula in the last step
Answer:
v= 331m/s +(0.6 m/s /°C)×T
Given,
T=40°C
Substituting the value of T we get,
v=331m/s +(0.6 m/s /°C)×40°C
= 331m/s +(0.6 m/s)×40
= 331m/s+(24.0)
=355m/s
a) Complete the table of values for y = 2x2 + x
can someone help me with this Q :)
Answer:
its the digram: )
Step-by-step explanation:
Answer:
*888888888877727723772289292
Step-by-step explanation:
88ejei49 + 710 is 49 + 710 is 10390..49 + 710 is 10390.