Using the confidence interval for sample proportion formula, the C.I is (0.075; 0.081)
Using the relation :
[tex]p ± z_{crit} \sqrt{ \frac{p(1 - p)}{n} } [/tex]
Sample size, n = 40467Sample proportion, p = 3156/40467 = 0.078Zcrit at 95% = 1.96Margin of Error = [tex] 1.96 \sqrt{ \frac{0.078(0.922)}{40467} } [/tex] Margin of Error = 0.0026128Lower boundary = 0.078 - 0.0026128 = 0.075
Upper boundary = 0.078 + 0.0026128 = 0.081
Hence, the confidence interval is (0.075; 0.081)
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Help me please I’m stuck
Answer:
Step-by-step explanation:
If 3 is width and 2 is length 3 units right 1 unit up
If 2 is width and 3 is length 2 units right 3 units up
3x + 3 = 2x + 12 i need help for this answer
Answer:
X=9
Step-by-step explanation:
3x+3=2x+12
3x-2x=12-3
x=9
2.7z + 1.2z - 6.5 = 0.7
Answer:
= 1 . 8 4 6 1 5 3 8 4 6
Step-by-step explanation:
I took the test yesterday and I got a 100 on the math part
Answer/Step-by-step explanation:
Combine multiplied terms into a single fraction
2.7z+1.2z−6.5=0.7
2 7 / 1 0 + 1 . 2 − 6 . 5 = 0 . 7
Combine multiplied terms into a single fraction
2 7 / 1 0 + 1 . 2 − 6 . 5 = 0 . 7
2 7 /1 0 + 6 5 − 6 . 5= 0 . 7
Find common denominator
2 7 /1 0 + 6 5 − 6 . 5= 0 . 7
[tex]\frac{27z}{10} +\frac{2.6z}{10} +\frac{10(-6.5)}{10} =0.7[/tex]
Combine fractions with common denominator
[tex]\frac{27z+2*6z+10(-6.5)}{10} =0.7[/tex]
Multiply the numbers
[tex]\frac{27z+12z-65}{10} =0.7[/tex]
Combine like terms
[tex]\frac{39z-65}{10} =0.7[/tex]
Multiply all terms by the same value to eliminate fraction denominators
[tex]10*\frac{39z-65}{10} =10*0.7[/tex]
Cancel multiplied terms that are in the denominator
39z-65=10*0.7
Multiply the numbers
39z-65=7
Add 65 to both sides of the equation
39z-65+65=7+65
Simplify
39z=72
Divide both sides of the equation by the same term
[tex]\frac{39z}{39} =\frac{72}{39}[/tex]
Simplify
Z= 1.846153846
6. The police department of a major city has found that the average height of
their 1,250 officers is 71 inches, with a standard deviation of 2.3 inches. Using
the normal curve table, answer the following:
a. How many officers are at least 75 inches tall?
b. How many officers are between 65 and 72 inches tall?
c. If an officer is at the 35th percentile in terms of height, how tall is she or he?
d. Assuming an equal amount of service, the top 10% of the police officers in
terms of height also make higher salaries than their less favored fellow of-
ficers. How tall does an officer have to be to get a better salary?
e. What is the probability of encountering an officer who is 66 inches tall or
less?
f. What heights are so deviant that their probability of occurrence is .05 or
less?
Answer:
c
Step-by-step explanation:
How do you solve Y+4= -3 (x-2)
Answer:
This problem is in Point Slope form:
To turn it to Slope-Intercept form, you must follow these simple steps below⤵⤵⤵:
Distribute -3 among everything inside the parenthesis to get y + 4 = -3x + 6.Subtract 4 from 6 to get y = -3x + 2.To turn it to Standard Form, you must follow these simple steps below⤵⤵⤵:
Use the Slope-Intercept form of this equation, in order to convert it.Add 3x on both sides of the equal sign, to get 3x + y = 2.Hope this helps you :)
Can anyone help, im stuck
Answer:
The second one is right
Step-by-step explanation:
anyone help, im stuck
Answer:
The third one
Step-by-step explanation:
Since, 1 can be represented by x we can make an equation
2 can be represented y
and 4 can be represented by x
Since x + y = 180 and x + z = 180
y = z
Or 2 = 4
Brainliest please :)
What is 121 divided by 18?
Answer:
6.7222222222
Step-by-step explanation:
This Maths Is Easy, Y Did You Post It?
Answer:
=6.7222222222
Step-by-step explanation:
Easy peesy lemon squezy!
Find the value of Y - triangle measurments
PLEASE HELP! I WILL GIVE BRAINLIEST!
Answer:
y=8
Step-by-step explanation:
6y=8y-16
-2y=-16
y-8
congurnet side have congruen angles
[tex]\\ \sf\longmapsto <N=<P[/tex]
[tex]\\ \sf\longmapsto 6y=8y-16[/tex]
[tex]\\ \sf\longmapsto 8y-6y=16[/tex]
[tex]\\ \sf\longmapsto 2y=16[/tex]
[tex]\\ \sf\longmapsto y=8[/tex]
In the first two hockey games of the year, Roland played 1 ½ periods In each of two games. How many periods in all did he play?
Answer:
2.42
Step-by-step explanation:
I AM VERY SORRY IF ITS WRONG
find the slope of the line that passes through the following points a(4, -14) b(6, 18)
Answer:
Slope=16
Step-by-step explanation:
Can someone help me please
Step-by-step explanation:
it just means to convert these equations into function definitions.
and a function looks like
y = ... something with x, factors, other functions, constants
1)
x + y = z
y = -x + z or z - x
2)
x - y = z
x - z = y or y = x - z
3)
x × y = z
y = z/x
4)
x/y = z
x = z × y
x/z = y or y = x/z
Ali walks 256km and Ahmed walks 112km. How much did they walk altogether? Give answer as a mixed number in its lowest term
= (2 5/6+ 1 1/2) Km = (17/6+3/2) Km = 4 1/3 Km
Answer:They walked 4 1/3 Km altogether.
Hope it helps.
Do comment if you have any query.
Dorit wants to make farmer’s cheese. She knows that for 2 gallons of milk, she will need 14 teaspoon of rennet. She only has 12 gallon of milk. Which statement(s) describe the step(s) Dorit can take to determine how much rennet, in teaspoons, she will need to make cheese?
Answer:
to do this you need to Multiply 14 by 6 to satisfy the fact she has 6 times the amount of milk for 14 teaspoons of rennet
Please help ASAP...
Find - xy , for x = -75.9 and y = 2.6.
197.34
Step-by-step explanation:
sincebit says that x multiplied by y
you multiply -75.9 *2.6 which results 197.34
If £2000 is placed into a bank account that pays 3% compound interest per year,
how much will be in the account after 2 years?
A ceramic artist can shape a pot in 3 minutes. It takes 10 minutes to fire one batch of pots in the kiln. If there are p pots in a batch, which expression represents the time it takes to shape and fire one batch of pots? How long will it take the potter to form and fire
Answer:
Your mom
Step-by-step explanation:
I saw her yesterday
help me for brainlist
The line intersects x - Axis at 6
- BRAINLIEST ANSWERER
Why are negative exponents not positive.
(x, 7) and (-7, 4); slope: 1
Answer: x= -4
Step-by-step explanation: slope = (y2-y1)/(x2-x1).
(4-7)/(-7-x)
-3/-7-x=1
Multiply both sides by -7-x
-3=-7-x
Add 7 to both sides
4=-x so x = -4
six times the difference of a number and three is -42 (write and equation and solve)
Here's ur perfect answer
Hello!
6(3-x)=-42
Use the Distributive Property:
18-6x=-42
-6x=-42-18 (move all the constants (numbers) to the right side, using the opposite operation)
-6x=-60
6x=60
Divide both sides by 6:
x=10
Hope it helps!
If you have any questions, feel free to ask in the comments! (:
~An excited gal
[tex]SparklingFlower[/tex]
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve the following equation algebraically. Show your work. 17 = − 13 − 8 x
The solution to the given expression is -15/4
Equations are expressions separated by an equal sign.
Given the expression 17 = -13 -8x
Add 13 to both sides
17 + 13 = -13 - 8x + 13
30 = -8x
Swap sides
-8x = 30
Divide both sides by -8
-8x/-8 = -30/8
x = -30/8
x = -15/4
Hence the solution to the given expression is -15/4
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parallel perpendicular or neither
Answer:
Parallel
Step-by-step explanation:
Line A can be simplified to 1/5x = y.
Line B can be simplified to y = 1/5x + 16.
They both have the same slope, 1/5, so they will be parallel.
Answer:
Parallel
Step-by-step explanation:
Same thing as the last one. Put it in [tex]y=mx+b[/tex]
A: [tex]y=1/5x[/tex]
and
B: [tex]y=1/5x+16[/tex]
These lines are parallel because they have the same slopes, but different y-intercepts.
gergio ran 5 kilometers in 30min. If he ran at this same pace how many did he run each min
Answer:
6 minutes per kilometer
1. What is the vertex for the following quadratic function, y = 2x^2 - 4x + 5?
A). (1,3)
B). (3, 1)
C) (0,5)
D). (2,5)
Answer:
A
Step-by-step explanation:
Given a quadratic in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = 2x² - 4x + 5 ← is in standard form
with a = 2 and b = - 4 , then
[tex]x_{vertex}[/tex] = - [tex]\frac{-4}{4}[/tex] = 1
Substitute x = 1 into the equation for corresponding value of y
y = 2(1)² - 4(1) + 5 = 2 - 4 + 5 = 3
vertex = (1, 3 ) → A
expand the logarithm as much as possible using properties. please help!
log square root on 1,000,000x
Step-by-step explanation:
log (√1000000x)
Rewrite √1000000x as (1000000x)1/2.
expand long ((1000000x)1/2) by moving 1/2
oby moving logarithm.
1/2 longth (1000000x)
Rewrite
log
(1000000x) as log(1000000)+log(x).
1/2(log(1000000)+log(x))
Logarithm base 10 of 1000000 is 6.
1/2(6+log(x))
Apply the distributive property.
1/2.6+1/2 log(x)
Cancel the common factor of 2.
3+1/2 long(x)
Combine 1/2 and log(x)
3+ long(x)/2
Step-by-step explanation:
See the steps below:
[tex]log\sqrt{1000000x} =\\(1/2)log 1000000x=\\(1/2)log10^6+(1/2)logx=\\(1/2)(6) + (1/2)logx=\\3+(1/2)logx[/tex]
` 10,800 for 3 years at 121 2% per annum compounded annually.
Answer:
15,173.22
Step-by-step explanation:
Looks like there's a typo in the question.
Should it be:
10,800 for 3 years at 12% per annum compounded annually.
-------------------------------
a = 10800 * (1.12)^3
a = 15,173.22
The quotient of 7 and twice a number equals 5
Let the number be x.
[tex] \frac{7}{2x} = 5 \\ = > \frac{1}{2x} = \frac{5}{7} \\ = 2x = \frac{7}{5} \\ = > x = \frac{7}{5 \times 2} \\ = > x = \frac{7}{10} [/tex]
Answer:[tex]x = \frac{7}{10} [/tex]
Hope it helps.
Do comment if you have any query.
6 to the power of 2+ 15
Answer:
51
Step-by-step explanation:
Answer:
51
Step-by-step explanation:
What is the following sum???? Please help ASAP
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent expression is ~
[tex]7 \bigg( \sqrt[5]{ {x}^{2}y } \bigg)[/tex]just assume the whole thing in brackets as a single variable and perform addition ~
The product of −2 and a number x is greater than 30. Whats the solution of the inequality.
Answer: x < -15
Step-by-step explanation:
(-2)*(x) > 30
x < -15 The inequality reverses direction when a negative number is used in the manipulation (we divided by -2).