Write an equation for this situation.
The First National Bank of Wilson has 700 checking account customers. A recent sample of 50 of these customers showed 29 have a Visa card with the bank.
a. What is the margin of error for a 95% confidence interval for the population proportion? (Round your answer to 3 decimal places.)
b. What is the 95% confidence interval for the population proportion?
The margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).
What is the margin of error(MOE)?It is defined as an error that provides an estimate of the percentage of errors in real statistical data.
The formula for finding the MOE:
[tex]\rm MOE = Z\times \dfrac{s}{\sqrt{n}}[/tex]
Where Z is the z-score at the confidence interval
s is the standard deviation
n is the number of samples.
We have:
n = 50, X = 29,
Estimate point p = 29/50 = 0.58
q = 1-p = 1-0.58 = 0.42
Z at 0.05/2 (95% confidence interval) = 1.96
[tex]\rm MOE = 1.96\sqrt{\dfrac{0.58\times0.42}{50}}[/tex]
After calculating:
MOE = 0.137
Confidence interval will be: (p - MOE, p+MOE)
= (0.58-0.137, 0.58+0.137)
= (0.443, 0.717)
Thus, the margin of error is 0.137 and the confidence interval for the population proportion is (0.443, 0.717).
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A piece of length of wire 8 ¼m. It is cut into two pieces. The length of onee piece is 4 3/5 m. What is the length of other piece
Answer should be 7/2m
Answer:
3 ¹³/²⁰ m
Step-by-step explanation:
You first take 8¼ m then you subtract 4⅗m giving you 3 ¹³/20
HELP NEEDED ASAP
answer these problems (image provided)
1. What is the volume of the first cube?
What do you know about the sides of a cube?
2. What is the volume of the cube with sides of 24m?
3. What is the volume of the cube with sides of 7m?
4. What is the combined volume of these 2 cubes?
5. How much more gold do you get in the better option?
Step-by-step explanation:
1 15625 m
2 13824 m
3 343 m
4 14167 m
5 cube with 25 m
A 3-yard roll of waxed paper costs $9.81. What is the price per foot?
Answer:
1.09
Step-by-step explanation:
9.81÷3=3.27 This shows the cost of 1 yard
3.27÷3= 1.09 since theres 3 feet in a yard, when you divide by 3 it shows how much 1 foot costs
Let x be the amount of hours spent studying and let y be the number of points earned on a quiz. The graph of the relationship between x and y is below. Which equation represents this relationship?
Answer:
y=0.5x + 4
..............
Answer:
The answer is C y=0.5x+4
Step-by-step explanation:
Determine whether a triangle with the given vertices is a scalene, isosceles, or equilateral tri Scalene Isosceles Equilateral triangle triangle triangle (a) J (2, 0), K (-1, -2), L (2,6) ID (b) A (3, 1), B(-3, 1), C (0, 6) (c) D (-8, 3), E(-1,0), F (-1, 6) ? X S
Answer:
(a) isosceles
(b), (c) scalene
Step-by-step explanation:
The lengths of the sides can be found from the distance formula:
d = √((x2 -x1)^2 +(y2 -y1)^2)
Here, there are 9 lengths to be computed, so it is useful to let a spreadsheet or graphing calculator do it.
We find triangle (a) has two sides the same length, so it is isosceles.
The other two triangles have three different side lengths, so they are scalene.
_____
Additional comment
It is impossible to specify an equilateral triangle using rational coordinates.
Simplify the expression using properties of exponents. 10a-8b-2/4a3b5
=52a−11b−7
Explanation:
10
a
−
8
b
−
2
4
a
3
b
5
Note:
a
m
a
n
=
a
m
−
n
Applying the above property to the exponents of
a
and
b
=
(
10
4
)
.
a
(
−
8
−
3
)
.
b
(
−
2
−
5
)
=
5
2
a
−
11
b
−
7
Solve the following equation algebraically:
3x²=12
A. +3
b. ±2
C.+3.5
d. ±1.5
Answer:x = ± 2
Step-by-step explanation:3x² = 12
x² = 12/3
x² = 4
x = √4
x = ± 2
Answer: x = ± 2 hopes that helps you out bud
Answer
x = 2 or x = -2
Brainliest?
Select the correct location on the table.
Select the expression that is equivalent to . (Refer to the image)
Answer:
left one on 3rd row
Step-by-step explanation:
using the rules of exponents/ radicals
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
[tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]
given
[tex]12^{-\frac{4}{7} }[/tex]
= [tex]\frac{1}{12^{\frac{4}{7} } }[/tex]
= [tex]\frac{1}{\sqrt[7]{12^{4} } }[/tex]
Solve this fraction, thanks!
[tex] \frac{10}{5} + \frac{ - 12}{5} [/tex]
Answer:
-2/5
Step-by-step explanation:
I actually didn't see the negative sign sorry and thanks for correcting my mistake!!!
Answer:
-2/5
Step-by-step explanation:
+ × - = -
10/5-12/5
apply the fraction rule a/c-b/c =a-b/c
10-12/5
substract 10-12 =-2
-2/5
A used car depot wants to study the relationships between the age of a car and its selling price. Listed below is a random sample of 9 cars at the depot during the last 3 months
HellpppNeed help please urgent
Answer:
the answer is 63.59m²
Step-by-step explanation:
[tex]radius = \frac{diameter}{2} \\ = \frac{3}{2} \\ = \frac{9}{2} (since \:1cm = 3m \: so \: 3cm = 9m) \\ = 4.5 \\ area \: of \: circle = \pi {r}^{2} \\ = 3.14 \times (4.5) {}^{2} \\ = 3.14 \times 20.25 \\ = 63.585 {m}^{2} [/tex]
Look at the image below.
3
2.2
2
What is the area of the parallelogram?
square units
Which statement correctly compares the shapes of the distributions?
The statement that compares the distribution shapes is (b) East Hills HS is positively skewed, and Southview HS is symmetric.
How to interpret the distribution shapes?From the question, we have the following highlights:
East Hills HS has more points at the right. This represents a positive skewSouthview HS has more points at the center. This represents a symmetric skewnessHence, the statement that compares the distribution shapes is (b) East Hills HS is positively skewed, and Southview HS is symmetric.
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Answer:
Step-by-step explanation:
East hills is negative skewed, Southview is symmetric
Explanation-just took the quiz
If our statement was < β is congruent to < α, the reason would be _____.
Answer:
Step-by-step explanation:
Vertical angles theorem.
It the UK they are called opposite angles,
7. Given the following Balance Sheet
extract, calculate the net profit on the
Income Statement. (Assuming tax rate
= 10% of operating profit)
Balance Sheet Extract:
Shareholders Equity
Common Stock
200
25
Retained Earnings
Revenues
170
Cost of Sales
(103)
Salaries
(30)
Interest
(12)
The net profit on the Income Statement based on the balance sheet given will be 21.
How to calculate the net profit?The net profit will be calculated thus:
Revenue = 170
Less coat of sales = 103
Less salaries= 30
Operating income = 30
Less interest = 12
Income before tax = 25
Less Income tax = (10% × 37) = 3.7
Net profit = 21.3 = 21
Therefore, the net profit on the Income Statement based on the balance sheet given will be 21.
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The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 6 to 5. If there were 10,901 total votes, how many yes votes were there?
What is value of m in the equation 3 (2x - 4) = x +3
Step-by-step explanation:
6x-12=x+3
6x-x=3+12
5x=15
x=15/5
x=3
Answer:
x = 3Step-by-step explanation:
What is value of m in the equation
3 (2x - 4) = x +3?
3 (2x - 4) = x + 3
6x - 12 = x + 3
5x = 15
x = 15 : 5
x = 3
The sum of two consecutive integers is 5.
What are the numbers?
Hint. Consecutive integers differ by 1,
so let x = smaller integer and y = x + 1 =
next larger.
They are 2 and 3, since 2 + 3 = 5
Let x be the smaller number. Then
x + (x + 1) = 5
2x + 1 = 5
2x = 4
x = 2
x + 1 = 3
Hhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
Not linear because there is no degree in terms of yLinearNot linear because there is no specified degree.Nonlinear.Answer: A
Step-by-step explanation: its the only one that dosent have 1/2 and i double checked it goes straight through the graph
d. Your doctor tells you you are in the 30th percentile for blood pressure among US adults. What is your systolic BP? Round to 2 decimal places.
Using the normal distribution, it is found that your systolic blood pressure is of 110.45.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.Researching the problem on the internet, the mean and the standard deviation are given, respectively, by:
[tex]\mu = 122, \sigma = 22[/tex].
The 30th percentile is X when Z = -0.525, hence your BP is given as follows.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.525 = \frac{X - 122}{22}[/tex]
X - 122 = -0.525 x 22
X = 110.45.
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now bsf yall know........
Answer:
24 - 14.4b
Step-by-step explanation:
Determine the sine, cosine, and tangent to the angle
A sun 0=12/15
Answer:
Cos θ = 13/15
Tan θ= 12/13
Step-by-step explanation:
We are given;
Sin θ = 12/15
From trigonometric ratios, we know that;
Sin θ = opp/hyp
Cos θ = adj/hyp
Tan θ = opp/adj
Thus, since Sin θ = 12/15, then;
Adjacent side = √(15²- 12²)
Adhacent side = √169
Afjacent side =13
Thus;
Cos θ = 13/15
Tan θ= 12/13
These are similar
figures. Solve for x
Answer:
x= the second one I hope I helped
What is the perimeter of this composite figure?
Answer:
24.56
Step-by-step explanation:
the circumference of a cricle is pi times diameter (so 4pi) then add both sides of 6 (so 12)
Answer:
P= 24.56cm
Step-by-step explanation:
P=2L + πd
P=2x 6cm + 3.14x4cm
p=12cm+12.56cm
P= 24.56cm
pretend this is a 20 letter question please help me
Answer:
1.64+0.94v
Step-by-step explanation:
0.2(8.2+4.7v)
0.2(8.2)+0.2(4.7v)
1.64+0.94v
I'm not very confident with this answer but I hope this helps
Translate into an equation.
The sum of seven and a number, x, is five.
Answer:
x + 7 = 5
Step-by-step explanation:
I think this should be an equation I’m in 7th and I am learning these again so it should be an equation.
If triangle PQR ~ triangle XYZ, with a scale factor of 8:5, find the value of x and then use to find the perimeter of triangle PQR. PQ: 16, QR: 96, PR: 8x ; XY: 10, YZ: 60, XZ: 55
16/10= 96/60=8x/55=8/5
8x*5=55*8
40x=440
x=11
Francis works and earns $3437 dollars but on a pay stub pays 42% to tax. What is the sales Tax?
Multiply:
3437 x 42%
3437 x 0.42 = 1443.54
answer: $1443.54