Answer:
The minimum sample size is [tex]n = 2295 [/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is [tex]E = 0.09[/tex]
The sample mean is [tex]\= x = 6.6[/tex]
The variance is [tex]\sigma^2 = 4.84[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\sigma^2}[/tex]
=> [tex]\sigma = \sqrt{4.84 }[/tex]
=> [tex]\sigma = 2.2[/tex]
From the question we are told the confidence level is 95% , hence the level of significance is
[tex]\alpha = (100 - 95 ) \%[/tex]
=> [tex]\alpha = 0.05[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{1.96 * 2.2 }{0.09} ] ^2[/tex]
=> [tex]n = 2295 [/tex]
A builder was building a fence. In the morning, he worked for 25 of an hour. In the afternoon, he worked for 910 of an hour. How many times as long as in the morning did he work in the afternoon?
Write a division equation to represent this situation, then answer the question.
9514 1404 393
Answer:
(9/10)/(2/5) = ratio of work times
2 1/4 times as long
Step-by-step explanation:
Given:
2/5 hours work in the morning
9/10 hours work in the afternoon
Find:
an equation for how many times as long was afternoon work compared to morning work
the equation solution
Solution:
a/m = r . . . . ratio of afternoon work to morning work
(9/10)/(2/5) = r . . . equation
(9/10)/(4/10) = r
9/4 = r = 2 1/4 . . . solution
The builder worked 2 1/4 times as long in the afternoon as in the morning.
Solve and graph.
3<4-2x<6
Answer:
X ( - 1, 1/2)
Step-by-step explanation:
4 - 2x > 3
4 - 2x < 6
Then solve the inquality for x
X< 1/2
X > - 1
Then u get the answer x ( - 1, 1/2)
Note: [ 1/2 is 1 over 2]
Step-by-step explanation:
3<4-2x 4-2x<6
-1<-2x -2x<2
1/2>x x>-1
x<1/2
the graph shown in pic
what is the measure of the larger angle in this degree?
APQR is an equilateral triangle. One side measures 5x - 7 and another side 3x + 11. Find the length of each
side.
Step-by-step explanation:
x=9
therefore,
each sides length is 9
5x-7=3x+11
=5x-3x=7+11
=2x=18
=x=9
Will somebody help real fast I will give brain??
Answer:
the aswer is A
Step-by-step explanation:
Answer:
D. -4,1,7,15
Step-by-step explanation:
Range is the y axis
my favorite snack after a long day at school
Answer:
My dog
Step-by-step explanation:
Answer:
cheese doodles is it.
Also subscribe to Random Topics trending in youtub.
Step-by-step explanation:
(I need help quick this assignment is due today)what is 421.53 in expanded form? I will give you 11 points.
Answer:
Expanded Notation Form:
421.53 =
400
+ 20
+ 1
+ 0.5
+ 0.03
Expanded Factors Form:
421.53 =
4 × 100
+ 2 × 10
+ 1 × 1
+ 5 × 0.1
+ 3 × 0.01
Expanded Exponential Form:
421.53 =
4 × 102
+ 2 × 101
+ 1 × 100
+ 5 × 10-1
+ 3 × 10-2
Word Form:
421.53 =
four hundred twenty-one and fifty-three hundredths
Step-by-step explanation:
Answer:
Step-by-step explanation:
400
+ 20
+ 1
+ 0.5
+ 0.03
Question 1 of 5 Find the difference. (12m + 1) - (5m - 4) O A. 7m + 5 O B. 17m-3 O C. 17m+ 5 D. 7 m - 3
Answer: 7m + 5
Step-by-step explanation:
Distribute the Negative Sign:
=12m+1+−1(5m−4)
=12m+1+−1(5m)+(−1)(−4)
=12m+1+−5m+4
Combine Like Terms:
=12m+1+−5m+4
=(12m+−5m)+(1+4)
=7m+5
Solve for x helppp(10 points)
Answer:
x = n - m
Step-by-step explanation:
To solve for x we have to isolate it.
[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] = [tex]n^{2}[/tex]
First, let's subtract [tex]m^{2}[/tex] from both sides of the equation:
[tex]x^{2} \\[/tex] + [tex]m^{2}[/tex] - [tex]m^{2}[/tex] = [tex]n^{2}[/tex] - [tex]m^{2}[/tex]
Now the equation looks like this: [tex]x^{2} \\[/tex] = [tex]n^{2}[/tex] - [tex]m^{2}[/tex]
Now we have apply a square root to both sides to remove the exponent from the x: [tex]\sqrt{x^2}[/tex] = [tex]\sqrt{n^2 - m^2}[/tex]
The square root and the exponents cancel out on both sides and you're left with: x = n - m
To solve for x the equation is: x = n - m
I hope this helps! :)
Seven more than twice a number is equal to 21
Answer:
x = a number
7 + 2x = 21
Subtract 7 from both sides
2x = 14
Divide both sides by 2
x = 7
7 is the only number that makes this sentence true.
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Do the steps in reverse
Subtract 7 from 21
14
Then divide by 2
7
Hope this helps :)
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1. Let f(1) = 722 – 5x + 3 and g(1) = 22² + 45 – 6.7x2-5x+3
Part A: Find f (x) + g(x)|
Part B: Find f (a) - g()
Part C: Find g(a) - f(x)
GICI
Answer:
The correct answer is B
Which expression is equivalent to 3 radical x^5y
Answer:
√3 x^5y
√3=1.7
1.7 • x^5 • y
1.7 • X^4• x• y.
Step-by-step explanation:
hope it helps.
have a wonderful day!
Answer:
x^5/3 y^1/3
Step-by-step explanation:
i took the test and got it correct.
Help me and also show steps thanks will mark brainliest.
help me please click link to go to question
brainly.com/question/19566932?answeringSource=feedPublic%2FhomePage%2F2
Answer:
okay thank you. ummmm yes well it's not loading
subtract -2/3- (-2/5)
Answer:
- 4/15
Step-by-step explanation:
The - and - make a + so -2/3 + 2/5
HOPE THIS HELPS
PLZ MARK BRAINLIEST
Megan works at Amazon warehouse each crate can hold 32 boxes she needs to ship 712 how to divide into 22 crates?
a pice of land was sold for rs. 1,20,000 a broker who recived 1.5% of commision. THe broker gets amount of Rs.____
Answer:
If you meant rs.1,200,000 then the answer would be rs.18,000
If you meant rs.120,000 then the answer would be rs.1,800
Step-by-step explanation:
Please mark B R A I N L I E S T
1. Charlie bought a new computer for $450 with his credit card. He plans to pay the minimum payment
of $25 per month. What is the rate of change, including units ?
Given:
Charlie bought a new computer for $450 with his credit card.
He plans to pay the minimum payment of $25 per month.
To find:
The rate of change.
Solution:
Let y be the remaining amount of loan after x months.
Initial amount of loan = $450
Payment of one month = $25
Payment of x months = $25x
Now,
Remining amount = Initial amount of loan - Payment of x months
[tex]y=450-25x[/tex] ...(i)
The slope intercept form is
[tex]y=mx+b[/tex] ...(ii)
where, m is slope and b is y-intercept.
From (i) and (ii), we get
[tex]m=-25[/tex]
Therefore, the rate of change is -25 dollars.
There are 3 students on a team for a relay race. How many teams can be made from 32 students?
Answer:
10 teams, 2 students would be left out I think.
Hope this helped :)
A patient has been ordered Oxycodone 10mg Q6H PO for 5 days. How many 10mg tablets should be dispensed?
Answer:20 tablets
Step-by-step explanation:
Asked my MD father.
126×(−55)+126×5 STEP explanation
5. A refrigerator is on sale for $1200. That is
25% off regular price. What was the original
price?
Answer: The original price is $4,800
Step-by-step explanation:
$1,200=25%
25%*4=100%
$1,200*4=$4,800=100%
Can you guys help me pls
A figure has vertices at K(5, 5), L(5, 3) , and M(1, 1) . After a rotation 90°CCW around point (0, 1) , what are the coordinates of K
Answer:
(-5,5)
Step-by-step explanation:
Amy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of gas in the tank for safety, how far (in miles) can Amy drive after filling up before she needs to fill up again?
Answer:
478miles
Step-by-step explanation:
32=1gallons 32×15 = 510miles
15g
510- 32= 478miles
All of the following are terminating decimals except _____.
We would have to divide every single one of these fractions to find out if they were terminating decimal. 2/5 = 2divided by 5 = 0.4 as you can see no many other repeating numbers after the decimal. We don't have to do the rest since we now know the answer is 2/5.
Given triangle MAT is an isosceles triangle and point H is the midpoint if MT. Prove triangle MHA is congruent to triangle THA
Answer:
There is everything in the image
The Side-Angle-Side postulate is satisfied. Then the triangle ΔMHA and ΔTHA are congruent with each other.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
In an isosceles triangle, the two legs of the triangle are congruent and their opposite angles too.
A triangle MAT is an isosceles triangle and point H is the midpoint of MT.
In triangle ΔMHA and ΔTHA, we have
AH = AH (Common sides)
MH = HT (H is the midpoint of MT)
∠AMH = ∠ATH (Isosceles angles)
The Side-Angle-Side postulate is satisfied. Then the triangle ΔMHA and ΔTHA are congruent with each other.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
answer and show work
A triangle has sides that measure 5 units, 7 units, and 8 units. Is this a right triangle
will mark brainliest asap.
answer choices
Yes, it is a right triangle because 72 + 52 = 82.
No, it is not a right triangle because 72 + 52
≠
82.
Yes, it is a right triangle because 72 + 52
≠
82.
No, it is not a right triangle because 72 + 52 = 82.
Answer:
Step-by-step explanation:
O=0O
KO[K]
The police in a certain city are investigating whether the proportion of minor traffic accidents is greater on Friday nights than on Saturday nights