Answer:
The minimum sample size required is 79.
Step-by-step explanation:
The following are given in the question:
e = Margin of error = 110
σ = Standard deviation = 500
Confidence level = 95%
n = Minimum sample size = ?
Therefore, we have:
Zσ = 1.96 at 95% confidence level
s.e. = Standard error = σ / [tex]\sqrt{n}[/tex] = 500 /
Alternatively, margin of error can be calculated as follows:
e = s.e. * Zσ = 110 ................... (1)
Substituting the other values into equation (1) and solve for n, we have:
500 / [tex]\sqrt{n}[/tex] * 1.96 = 110
500 / [tex]\sqrt{n}[/tex] = 110 / 1.96
500 / [tex]\sqrt{n}[/tex] = 56.1224489795918
500 = 56.1224489795918 * [tex]\sqrt{n}[/tex]
[tex]\sqrt{n}[/tex] = 500 / 56.1224489795918
[tex]\sqrt{n}[/tex] = 8.90909090909092
[tex]n^{\frac{1}{2}[/tex] = 8.90909090909092
Squaring both sides, we have:
([tex]n^{\frac{1}{2}[/tex])^2 = (8.90909090909092)^2
n = 79.3719008264465
Approximating to a whole number, we have:
n = 79
Therefore, the minimum sample size required is 79.
3x+15=24 what is the x equal too
Answer:
x is equal to -1/3
hope this helps
Answer: I'm pretty sure x = 3
Step-by-step explanation: 3 times 3 = 9. 9 + 15 = 24. And when I solve for x it equals 3.
no matter what answer i put in it always tells me I'm wrong so can someone actually help
Answer:
[tex]\frac{1}{9}[/tex]
Step-by-step explanation:
[tex]\frac{1}{3^2}=\frac{1}{3} *\frac{1}{3} =\frac{1}{9}[/tex]
Your brother won 7 packages of colored candies with 24 pieces each. According to manufacture. For each 1 blue piece produced. The company makes 3 brown. 2 yellow. 2 red. 1 orange and 1 green. How many of each color do you expect to find in your brothers candy?
Answer:
16.8 or 17 blue
50.4 or 50 brown
33.6 or 34 yellow
33.6 or 34 red
16.8 or 17 orange
16.8 or 17 green
Step-by-step explanation:
7 x 24 = 168 candies
blue = b
brown = w
yellow = y
red = r
orange = o
green = g
1b = 3w + 2y + 2r + 1o + 1g
1 +3 + 2 + 2 + 1 + 1 = 10
168/10 = 16.8
1(16.8) +3(16.8) + 2(16.8) + 2(16.8) + 1(16.8) + 1(16.8) =
16.8 blue
50.4 brown
33.6 yellow
33.6 red
16.8 orange
16.8 green
What is 6cm into inches
Answer:
2.3622
Step-by-step explanation:
Determine whether each equation is true or false.
-5/-1 = 5
(0/-4) = 0
-3/1 = -3
- 8/0 = 0
Step-by-step explanation:
1.False
2.True
3.True
4.False
• Number Sense Write an addition
sentence and a multiplication
sentence to solve this problem.
Jessie bought 4 packages of colorful
stones to put in the fish bowl. There
are 6 stones in each package. How
many stones did Jessie buy?
Answer:
addition sentence is 6+6+6+6=24
multiplication sentence is 6×4=24
Step-by-step explanation:
hope this helps
Which series of transformations would result in a figure that is congruent to the triangle ABC?
rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
rotation of 180' clockwise about the origin and then dilation with a scale factor of 2, centered at the origin
reflection across the line y ox and then dilation with a scale factor of -3, centered at the origin
translation 3 units to right and then dilation with a scale factor of 3, centered at the origin
Answer: rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
Step-by-step explanation:
Two triangles are congruent if all the corresponding angles are equal, and if the corresponding side lengths are equal.
Now, this means that if we have a given triangle, and we apply a dilation/contraction, then the resultant triangle will have different side lengths than the initial triangle, then those two triangles can not be congruent.
So we can already discard all the options with dilations.
Now, remember how the dilation works.
If we have a point that is at a distance L of the origin, and we do a dilation of scale factor K centered at the origin, then the new distance of the point and the origin will be K*L.
Notice that if the scale factor is equal to 1, then there is no change.
In the options, we have one where the scale factor is -1.
The minus sign means that will cause the enlargement to appear on the other side of the center of enlargement. But the scale factor still is of absolute value 1, so it will not change anything.
Then the only option that not dilates the triangle is:
Rotation of 180' clockwise about the origin and then dilation with a scale factor of -1, centered at the origin
So this is the only transformation that results in a figure congruent to the triangle ABC
Which of the following statements describes the value of the expression 35 – 2x, when x = 6?
Answer:
35-2(6)
= 23
Prime number
Step-by-step explanation:
Answer:
23 . It is a prime number.
Step-by-step explanation:
[tex]35 - 2x \\ x = 6 \\ \\ 35 - 2(6) \\ = 35 - 12 \\ [/tex]
Simplify
[tex]23[/tex]
30 points!! If line segment AB is dilated with a scale factor 1.5, what is the length
of the new line segment A'B'?
A) 5 cm
B) 7.5 cm
C) 12.5 cm
D) 15 cm
Answer:
B
Step-by-step explanation: You divide 30 by 1.5 and then divide 15 by t for segment A and then B
The length of the new line segment A'B' will be D) 15 cm.
What are transformations?Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.
Dilation: The preimage is scaled up or down to create the image.
Reflection: The picture is a preimage that has been reversed.
Rotation: Around a given point, the preimage is rotated to create the final image.
Translation: The image is translated and moved a fixed amount from the preimage.
Given a line segment AB is dilated with a scale factor of 1.5.
Assuming the line segment has a length of 10 units.
∴ Dilating by a scale factor of 1.5 the length of the dilated line segment A'B'
it will be 1.5(10) = 15 units.
learn more about transformation here :
https://brainly.com/question/11709244
#SPJ2
Anita is baking dinner rolls and pumpkin bread. She needs 4 cups of flour for the rolls. She needs at least 7 cups of flour left for the pumpkin bread. Write
and solve an inequality to determine how much flour Anita needs before she
starts baking.
Answer:
x-4>=7
Step-by-step explanation:
x- how much flour needed at the start
x-4 used for rolls
Is this statement always true, sometimes true, or never true: Whole numbers are integers.
1. Always True
2. Sometimes True
3. Never True
Answer: Always true
Step-by-step explanation:
Whole numbers including 0 are always integers
Raise to the power: (–2abx)4
Answer:
(16a^4b^4x^4)
Step-by-step explanation:
if x=2+ root 3 then find the value of (x-1/x)^3
HELP ASAP
Answer:
10 and ten-elevenths
Step-by-step explanation:
x = 2 + _/3
(x-1/x)^3
(2+_/3)^3 - (1÷2+_/3)^3
= (8 + 3) - 1 ÷ (8 + 3)
= 11 - 1/11
= 10 10/11
Given the equation y=12x, x representing number of hours worked, y representing amount of money earned, how much would John earn if he worked 6 hours?
9514 1404 393
Answer:
72
Step-by-step explanation:
Substitute 6 for x in the equation and do the arithmetic.
y = 12x
y = 12·6 = 72
John earns 72 money units in 6 hours.
Quadrilateral ABCD is transformed according to the rule (x, y) → (y, –x). Which is another way to state the transformation?
R0, 90°
R0, 180°
R0, 270°
R0, 360°
Answer:
C. R0, 270°
Step-by-step explanation:
R0, 270°:(x, y) → (y, –x)
Answer:
Step-by-step explanation:
the answer is c
Helpp thanksssss........
Answer:
4/10
Step-by-step explanation:
4/5 ÷ 2/1
4/5 * 1/2
2/5 or 4/10
0.16
As a repeating fraction
Answer:
0.16161616161616161616161616161616161616161616161616
Step-by-step explanation:
just keep adding whats repeating or put a bar on top of the 16
find the 13 term
7 la For the sequence 11,13,15,17
What is this variable? 3/4a — 6 = 4+3a
Which figure shows the net of a rectangular pyramid?
Answer:
d
Step-by-step explanation:
. The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.
Answer:
D
Step-by-step explanation:
The net of a pentagonal pyramid consists of one pentagon and five triangles. The pentagon is the base of the pyramid, and the triangles are the lateral faces.
PLEASE ANSWER THIS ASAP! SUPER EASY! PLEASE PLEASE WILL MARK YOU BRANLIEST!
2. If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour) a. 55 mph b. 60 mph c. 58.5mph d. 65mph
Your answer is 65
Step-by-step explanation:
You need to divide 585 by 9 the answer is 65
This problem illustrates the limit derivation of a Poisson distribution from Binomial distributions. Suppose an average of 66 arrivals occur during a 30 minute interval. To count arrivals, divide the 30 minute interval into nn sub-intervals. On the previous problem, you found the probability pp of one arrival during a single sub-interval for each n given. Now, compute the (estimated) probability that there will be, in fact, exactly 6 arrivals during a 30 minute interval, with each probability model:
a. Using Binomial with n=30, the chance of 6 arrivals is estimated as:__________
b. Using Binomial with n=60, the chance of 6 arrivals is estimated as:__________
c. Using Binomial with n=100n=100, the chance of 6 arrivals is estimated as:________
d. Using Poisson, the chance of 6 arrivals is estimated as:________
Required:
Use a probability calculator, and enter answers in decimal form, rounded to at least four places after the decimal.
Answer:
1. 0.1795
2. 0.1693
3. 0.1657
4. 0.1606
Step-by-step explanation:
This problem was solved using the binomial distribution
1.
N = 30
P = 6/30 = 0.2
Using binomial distribution
30C6 x 0.2⁶ x 0.8²⁴
= 593775 x 0.000064 x 0.004722
= 0.1795
2.
N = 60
P = 6/60 = 0.1
60C6 x 0.1⁶ x 0.9⁵⁴
= 50063860 x 0.000001 x 0.00338139
= 0.1693
3.
N = 100
100C6 x 0.06⁶ x 0.94⁹⁴
= 1192052400 x 0.000000046656 x 0.00297864
= 0.1657
4.
Poisson distribution was used here
e^-6(6)⁶/6!
= 0.1606
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
a) Simplify the expression and explain each step. (2 points)
4(3x+2)−2
b) Factor the expression completely. (1 point)
20b−16
Answer:
Step-by-step a) Simplify the expression and explain each step.
4(3x + 2) - 2
b) Factor the expression completely.
20b - 16
If product of two numbers=384HCF=8,2cm=?
Answer:
96 and 288
Step-by-step explanation:
So, we need to find 2 numbers such that their sum is 8 and they do not have common factor (Relatively prime). Both these numbers will be divisible by 48 but there would be no other common divisor (after dividing by 48).
Such order independent pairs are (1,7) and (3,5).
Difference between them would be (7–1)*48=6*48 and (5–3)*48=2*48 respectively.
The differences are 6*48=288 and 2*48=96.
We have found difference without finding numbers.
Ans.: 96 and 288
p.s.: The number pairs (again order neutral) would be (48, 336) and (144, 240)
Difference for 48 and 336 add up to 384, their HCF is 48. These two numbers match the conditions. Their difference is 288.
Difference of 144 and 240 add up to 384, their HFC is 48 (the numbers are 48*3 and 48*5, common factor is 48 and no other common factor for 3 and 5; 48 is HCF). The difference is 96.
3252614683754629158741032465x93756356872264881+432757232878247-3243566=
Answer:
bout 7
Step-by-step explanation:
Answer:3.049533e+44 to be exact
Step-by-step explanation:
There are 252 players on 18 teams. How many players are on each team?
Answer:
14
Step-by-step explanation:
252 divided by 18 = 14
hope this helps! :D
Which expression is equivalent to |-5| + |3|?
Answer:
5+3 =8
Step-by-step explanation:
absolute value
Is a 70 a bad grade on a math test?
Answer: in my opinion is better than an F
Step-by-step explanation:
frst to answer this gets brainliest!!!!
1. 641 divided by 43
2. 4684 divided by 27
3. 6455 divided by 64
Answer:
1. 14.91
2. 173.48
3.100.86
Step-by-step explanation:
all the answers are rounded to the nearest hundredth place, i believe.