Answer:
The minimum sample size required for the estimate is 345.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
The standard deviation is known to be 1.8.
This means that [tex]\sigma = 1.8[/tex]
What is the minimum sample size required for the estimate?
This is n for which M = 0.19. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.19 = 1.96\frac{1.8}{\sqrt{n}}[/tex]
[tex]0.19\sqrt{n} = 1.96*1.8[/tex]
[tex]\sqrt{n} = \frac{1.96*1.8}{0.19}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*1.8}{0.19})^2[/tex]
[tex]n = 344.8[/tex]
Rounding up to the next integer:
The minimum sample size required for the estimate is 345.
What is the area of a rectangle whose length is 4 2/3 cm and width is 8 cm?
Answer: 37 1/3 cm
Step-by-step explanation:
Area = Length times width
4 2/3 times 8 = 37 1/3
CONVERT THE PERCENTAGES FRACTION 120%
Answer:
[tex]\frac{6}{5}[/tex]
Step-by-step explanation:
Answer:
6/5
Step-by-step explanation:
Its 6/5..
1 = 20%
Please give brainliest
HELPP QUICKK PLEASSEEE
Answer:
Questions are blur can you post a much clearer one?
Find the Mode:
88, 82, 81, 89, 77, 95
89, 90, 81, 75
Answer:
81 is the mode
Step-by-step explanation:
THe mode is the number ina. Set of data that appears the most. In this case, 81 appears twice while all the other numbers only appeared once. So 81 in this case is the mode.
A cuboid with a volume of 924 cm' has dimensions
4 cm, (x + 1) cm and (x + 11) cm.
Show clearly that x2 + 12x – 220 = 0
Solve the equation by factorisation, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.
Answer:
4cm, 11cm, 21cm
Step-by-step explanation:
4(x + 1)(x + 11)
4(x ^ 2 + 12x + 44)
x ^ 2 + 12x + 11 = 231
x ^ 2 + 12x + 11 - 231 = 0
x ^ 2 + 12x - 220 = 0
(x - 10)(x + 22) = 0
x = 10 and x = - 22
4cm , 11cm , 21cm
Hope it helps you xx
Answer:
Dimensions = 4cm, 11cm and 21 cm.
Step-by-step explanation:
x2 + 12x - 220 = 0
x2 + 22x - 10x - 220
= x(x+22) -10(x+22)
=(x+22)(x-10)
x + 22= 0
-22 -22
x = -22 (x cant be negative so this is wrong)
x-10 = 0
+10 +10
x = 10 (positive so its correct)
4 , (10+1), (10+11)
= 4, 11, 21 cm.
Betty has $40 in her pocket. She brought 12 identical bags of popcorn. Betty was left with $10 after buying the popcorn. What was the price, in dollars, of each bag of popcorn?
(a) 0.55
(b) 2.50
(c) 4.17
(d) 5.20
Answer:
2.50 (b)
Step-by-step explanation:
30 divided by 12 is 2.5 which is equal to 2.50 :)
Answer:
b) 2.50
Step-by-step explanation:
$40 - $10 = $30 spent on popcorn
$30/12 = $2.50 per bag
Can somebody solve this?
Answer:4
Step-by-step explanation:2+2=4
Pls help me complete this
Answer:
wow thats alot of "stuff"
Step-by-step explanation:
Answer:
For the first, top one, it is Outcome
For the second one, it is Event
For the third one, it is Trial
For the fourth one, it is Experimental Probability
For the fifth one, it is Probability
o que significa 1E+76 ?????
Answer:
e means error at least when the number is higher than the computor can calculate or it is just a variable
Step-by-step explanation:
Silvia randomly picked 12 flowers from a garden. Three of the flowers she picked were roses. What is the experimental probability that the next flower she picks will be a rose? ________
Answer:
1/4
Step-by-step explanation:
I could be wrong but that's what I would put
Answer:
P(next to be rose) = 1/4Explanation:
in general when she picked 12 flowers, 3 were roses
3/12 = 1/4
What is the answer please help no links please help
yes
i will help you if you want is that ok
Answer:
ok
Step-by-step explanation:
Answer:
okay
Step-by-step explanation:
okay i will accept your help
NEED HELP ASAP WILL GIVE BRAINLIEST REAL ANSWERS ONLY PLZ
Answer:
D
Step-by-step explanation:
They are trying to see how long it takes people to complete the writing portion of the test.
Which numbers between 10 and 20 do not appear in the table at all?
And also why don’t they appear?
Answer:
11, 13, 17, 19,
Step-by-step explanation:
dunno
What is the area of the rectangle below?
9 feet
7 feet
Answer:
63 feet ^2
Step-by-step explanation:
Well assuming your presented with length and width.
9*7=63
Need the answer to x and y !
Answer:
x=5, y=3
Step-by-step explanation:
7x-11=24: 7x=35: x=5
3(5)+9=8x: 24=8x: x=3
Quadrilateral WXYZ has a length of five, six, seven, and eight. A new quadrilateral is created, using a scale factor of 1.2. Which of the following are stylings of the new quadrilateral?
Choose all that apply:
10
8.4
9.6
6
7.2
5
PLEASE HELP I Got 5 minutes
Answer:
10
8.4
5
Step-by-step explanation:
Expand the expression -11(30 – 2d) using the Distributive Property.
Answer: -330 + 22d
Step-by-step explanation:
Apply distributive law: a(b-c)=ab-ac
Answer:
[tex]-330+22d[/tex], or the other way around
Step-by-step explanation:
[tex]-11*30=-330[/tex]
[tex]-11*-2d=22d[/tex]
Please help !!!!!!!!!!!!!
Answer:
1) x= sqrt 98 = 7 sqrt 2
Step-by-step explanation:
Set up an integral for the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Then use your calculator to evaluate the integral correct to five decimal places. y = e−x^2, y = 0, x = −2, x = 2
Does the point (-8, 8) satisfy the inequality 16x + 15y = -8?
yes
no
Answer:
Yes
Step-by-step explanation:
16x+15y=-8
16(-8)+15(8)=-8
-8=-8
Hope that helps :)
Answer:
True
Step-by-step explanation:
The left side − 8 is equal to the right side − 8 , which means that the given statement is always true.
There are 5 slices in the pizza. Wayne ate 2 slices of the pizza. What fraction of the pizza is left?
Answer:
3/5
Step-by-step explanation:
5/5 - 2/5 = 3/5
Please help really quick
Answer:
88 yd.²
Hope this helps!
Answer:
Area= 88 sq. yd.
Step-by-step explanation:
The formula for the area of a triangle is A= h b/2.
This means you just divide 16 (the base) by 2 to get 8, and then multiply it by 11 (the height). This gives you 88
Help plssssssssss I don’t wanna fail
Answer: 5:15 PM
Step-by-step explanation: All you need to do is add numbers together. Make sure to remember that there is 60 minutes in one hour :)
On the midnight shift, the number of patients with head trauma in an emergency room has the probability distribution shown below. x 0 1 2 3 4 5 Total P(x) .02 .31 .25 .19 .13 .10 1.00 (a) Calculate the mean and standard deviation. (Round your mean value to 2 decimal places and standard deviation to 3 decimal places.) Mean Standard deviation (b) Describe the shape of this distribution. multiple choice Skewed to the right Skewed to the left Symmetric
Answer:
Mean = 2.40
Standard deviation = 1.356
Step-by-step explanation:
Given the data:
X :___ 0 __1 ___ 2 ___ 3 __ 4 __ 5 __Total
P(x)_0.02_0.31_0.25_0.19_0.13 _0.10_ 1.00
The mean [E(X)]
Σx*p(x)
(0*0.02)+(1*0.31)+(2*0.25)+(3*0.19)+(4*0.13)+(5*0.10) = 2.4
The standard deviation :
Std(x) = sqrt[VAR(x)]
Var(x) = ((0^2 * 0.02)+(1^2 * 0.31)+(2^2 * 0.25)+(3^2 * 0.19)+(4^2 * 0.13)+(5^2 * 0.10)) - 2.4^2
Var(X) = 7.6 - 5.76 = 1.84
Std(X) = sqrt(1.84) = 1.356 (3 decimal places)
Help pls i'm lost i really need help
In a certain school, there are 4 girls for every 5 boys. If there are 560 girls in the school, how many boys attend school?
Answer:
700
Step-by-step explanation:
4girls=5boys
560girls=?
560*5/4
=700boys
A chocolate shop sells chocolates with a variety of different fillings.
hazelnut 68
caramel 8
orange 8
What is the probability that a randomly selected chocolate will have caramel filling?
Write your answer as a fraction or whole number.
Answer:
There is a [tex]\frac{2}{21}[/tex] chance of picking caramel-filled chocolate.
Step-by-step explanation:
To set this up, you need to make it a fraction. The denominator of the fraction is how many total chocolates you can pick from. You can figure this out by adding all of the chocolate choices together:
68 hazelnut + 8 caramel + 8 orange = 84 chocolates.
The numerator is defined by the number of caramel chocolates, in this case it is 8. That means the fraction will look like:
[tex]\frac{8}{84}[/tex]
Now that can be simplified down. I divided the top and bottom both by 4 to get [tex]\frac{2}{21}[/tex] and that is as far down as it can go. Therefore that is the probability you will get a caramel-filled chocolate.
Find the surface area of a rectangular prism with a
length of 6 yards, a width of 4 yards, and a height of 9
yards.
Answer: 228 yds^2
Step-by-step explanation:
Surface Area= 2 (L x W) + (L x H) + (W x H)
2×(6×4 + 6×9 + 4×9) = 228
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!1111 I REALLY NEED HELP I A, BEGGIN YOU GUYS!!!!!!!!!!!!!!!!!!!!!!!!!!! ILL GIVE BRAINLIEST AND EXTRA POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Equivalent: 6(y - 3) AND 2(3y - 9)
Not Equivalent: 3(y - 6) AND 2(y - 9)
Step-by-step explanation:
4y - 2(5 - y + 4)
4y - 2(9 - y)
4y - 18 + 2y
6y - 18 (Everything must be equivalent to this)
3(y - 6) NOT EQUIVALENT
3y - 18
6(y - 3) EQUIVALENT
6y - 18
2(y - 9) NOT EQUIVALENT
2y - 18
2(3y - 9) EQUIVALENT
6y - 18