Answer:
The minimum number of samples required is [tex]n = 16641 [/tex]
Step-by-step explanation:
From the question we are told that
The variance is [tex]\sigma^2 = 0.25[/tex]
The margin of error is [tex]E = 0.01[/tex]
From the question we are told the confidence coefficient is 0.99 , hence the level of significance is
[tex]\alpha = (1 - 0.99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58[/tex]
Generally the standard deviation is
[tex]\sigma =\sqrt{\sigma^2}[/tex]
=> [tex]\sigma =\sqrt{0.25}[/tex]
=> [tex]\sigma =0.5[/tex]
Generally the sample size is mathematically represented as
[tex]n = [\frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ] ^2[/tex]
=> [tex]n = [\frac{2.58 } * 0.5 }{0.01 } ] ^2[/tex]
=> [tex]n = 16641 [/tex]
Which expressions are equivalent to 6 + 12x?
Select each equivalent expression.
Answer:
2 (3 + 6x), 3 (2 + 4x) and 6 (1 + 2x)
Step-by-step explanation:
Given the expression 6 + 12x.
The following functions are equivalent;
Factoring out common number;
For 2;
2(3) + 2(6x)
2 (3 + 6x)
Factoring out 3;
3(2) + 3(4x)
3 (2 + 4x)
Factoring out 6;
6(1) + 6(2x)
6 (1 + 2x)
Hence the possible equivalent expressions are 2 (3 + 6x), 3 (2 + 4x) and 6 (1 + 2x)
Help my 5th Grade son with his I-Ready
The question is Multiply 1 by 5 and the equation is 152 x 61 but there's a box above the number 1 and a box under 6, what do we put and how do we solve it?
Answer:
well the answer will come out to 9272
Step-by-step explanation:
Find the distance between the points (-16, -16) and (8, -16).
Answer:
24 units
Just add the distance that each is from the origin.
(-16, -16) is 16 away from 0, 0
(8, -16) is 8 away from origin
16 + 8 = 24
This only works because these two points` x-axis coordinates match. It doesn`t work with everything.
find the domain and range of {(x, y) : |x| + y ≥ 2}
Answer:
[tex]\textsf {Domain} : -\infty \: < x < \infty \\\textsf {In interval notation: } (-\infty, \infty)}[/tex]
[tex]\textsf {Range: } f\left(x\right)\le \:2 \\\textsf {In interval notation:} \:(-\infty \:,\:2][/tex]
Step-by-step explanation:
There are no undefined points for the function. So the domain is the set of all x values
The domain of x is (-∞, ∞) so x can be negative or positive. However, |x| is always positive
So if the inequality |x| + y ≥ 2 is to hold good then y has to be less than equal to 2, otherwise the left side drops below 2 and the inequality is not satisfied.
So the range is the set of all values in the interval (-∞, 2)
Check out the graph for a visual interpretation
Please help me solve this problem
Answer:
Answer is D.
Step-by-step explanation: When looking for distance, you want to find the sum of the *absolute value of 2 numbers* (or more). That is why you would want to add p and q.
Hope this helped. I'm really tired rn so sorry if this wasn't the best.
Find the slope of the line y=1/3x+3/2
Answer:
1/3
Step-by-step explanation:
The slope is 1/3
Answer:
slope:1/3
y intercept(just an extra!):(0,-3)
Step-by-step explanation:
Hope I could help! Stay safe and drink water<3
What is the constant in the expression?
15x² + 2x – 3
Answer: -3
Step-by-step explanation:
Answer:
the constant in this expression is 3
Step-by-step explanation:
the constant is a single number
the difference between eight and twice a number x is four
Answer:
[tex]x=2[/tex]
Step-by-step explanation:
[tex]Let\ the\ number\ be\ x\\Hence,\\8-2x=4\\-2x=4-8\\-2x=-4\\x=\frac{-4}{-2} \\x=\frac{4}{2} \\x=2[/tex]
Answer:
Yes
Step-by-step explanation:
2 x 4 = 8
8 / 4 = 2
Gas mileage is the number of miles you can drive on a a gallon of gasoline.
A test of a new car results in 580 miles on 10 gallons of gas. How far could
you drive on 55 gallons of gas? What is the car's gas mileage?
Answer:
on 55 gallons of gas , you can drive 3,190 miles....the cars gas mileage 58 mpg or miles per gallon
In the figure below, ABD measures 41. What is the measure of ABC?
Answer:
The answer is 82 degrees.
one number is 12 more than twice another number. what are the numbers if their sum is 72?
Answer: 20, and 52
Step-by-step explanation: lets "translate" the sentence
one number=a
the other numebr b=2a+12
a+b=72
a+2a+12=72
3a=72-12
3a=60
a=60/3=20
a=20
b=52
a=b=72
Which expression represents the perimeter of the rectangle shown below
Answer:
D
Add all of the sides together. 2x+1 plus 2x+1 equalls 4x +2
Then add that to (xsquared+3x-2 + xsquared+3x-2) which is 2xsquared +6x-4+4x+2 which equalls D
Its D
------------------
determine the domain of the following graph
Answer:
Domain: -3 ≤ x ≤ 9
Step-by-step explanation:
The domain of the graph is the set of all possible x-values.
The set of all possible values as represented on the graph above runs from -3 to 9.
This, domain of the graph is -3 ≤ x ≤ 9
Is TA congruent to GO? Proof?
Answer:
Yeah
Step-by-step explanation:
Please help algebra work needs to be shown please help
Answer: 1) x=6.92 or rounded: 6.9
take a look at the image
22,064÷394 kkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk
Answer:
hello my fellow brainlier
Step-by-step explanation:
According to my calculations answer will be 56 .TY!
Las ecuaciones con numeros racionales se resuelven de manera similar a las ecuaciones con numeros enteros
Answer:
es verdadero
Step-by-step explanation:
A cylinder has a base diameter of 20 meters and a height of 5 meters. What is its
volume in cubic meters, to the nearest tenths place?
Volume = PI x r^2 x h
r -s 1/2 the diameter ( 20/2 = 10)
Volume = 3.14 x 10^2 x 5
Volume = 3.14 x 100 x 5
Volume = 3.14 x 500
Volume = 1570 cubic meters
The answer is 1570.8
Use the following cell phone airport data speeds (Mbps) from a particular network. Find P40
0.4
1.1
0.2
0.6
1.7
3.5
10.7
0.2
0.6
1.9
4.4
10.8
0.3
0.7
2.1
5.2
11.1
0.3
0.7
2.5
6.8
12.2
0.3
0.8
2.6
7.8
12.5
0.3
0.9
2.6
8.8
14.6
0.4
0.4
1.1
2.8
2.9
8.8
14.6
9.8
15.4
0.40
1.3
1.4
3.2
3.4
9.9
10.1
15.5
26.7
P40= ___ Mbps
The 40th percentile is (1.6 + 1.6) / 2 = 1.6
What is percentile ?
In statistics, a k th percentile is a score below which a given percentage k of scores in its frequency distribution falls or a score at or below which a given percentage falls.
The data are in ascending order.
Compute the position of the pth percentile (index i):
i = (p/100)*n
i = (40/100)*50
i = 20
The index i is an integer ⇒ the 40th percentile is the average of the values in the 19th and 20th positions (1.6 and 1.6 respectively).
Therefore, the 40th percentile is (1.6 + 1.6) / 2 = 1.6
P40=1.6 Mbps
Read more about percentile at :
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Question 10 of 10
Jerry drew AJKL and AMNP so that ZK = ZN, LL LP, JK= 6, and
MN = 18. Are AJKL and AMNP similar? If so, identify the similarity postulate
or theorem that applies.
O A. Similar - AA
O B. Cannot be determined
C. Similar - SSS
OD. Similar - SAS
The two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠ K = ∠ N and ∠L = ∠P are there.
It is given that two triangles that are JKL and MNP are considered in which:
∠K = ∠N
∠L = ∠P
JK = 6
MN = 18.
Now, from ΔJKL and ΔMNP, we have
∠K = ∠N (Given in the question)
∠L = ∠P(Given in the question)
Thus, by AA rule of similarity,
ΔJKL is similar to ΔMNP.
Therefore, the two considered triangles JKL and MNP are similar by the AA rule of similarity as the two angles that is ∠ K = ∠ N and ∠L = ∠P are there.
Learn more about similarity here:
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Your question was incomplete. Please refer the content below:
Jerry drew JKL and MNP so that K= N,L= P, JK=6, and MN=18. Are JKL and MNP similar? IF so, identify the similarity postulate or theorem that applies.
A. Similar - AA
B. Cannot be determined
C. Similar - SSS
D. Similar - SAS
PLEASE answer i’m begging you
Answer:
C.
Step-by-step explanation:
The amount of money she has at the beginning of the week.
I need help ASAP
Mateo earns a yearly salary of 40,000. Rico earns a yearly salary of 51,000. Mateo will receive a salary increase of 3,500 per year, and Rico will receive a salary increase of 2,800 per year
Which equation can be used to find n, the number of years it will take Mateo to earn the same salary as Rico?
A: 40,000+3,500n=51,000+ 2,800
B: 40,000+3,500n=51,000n+ 2,800n
C: 40,000n+3,500=51,000n+ 2,800
D: 40,000+3,500n=51,000n+ 2,800
please help me asap
The midpoints of the sides of a square of side 6 are joined to form a new square. This procedure is infinitely repeated for each new square, what is the sum of the areas of all the squares?
Just take the points, I already have the answer!
Lets see
For side=6
Area=side²=6²=36units²Now midpoints are the connections so diagonal of half side are the sides of new one
New side
√(6/2)2+(6/2)²√3²+3²√183√2New area
(3√2)²=18Again new area will be half of old area
18/2=9Again
9/2=4.5This forms a geometric sequence
First term=a=36Common ratio=r=(0.5)Now
sum for infinite series:-
[tex]\\ \rm\Rrightarrow \dfrac{a}{1-r}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{36}{1-0.5}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{36}{0.5}[/tex]
[tex]\\ \rm\Rrightarrow 72units^2[/tex]
10 POINTS Solve for x:
7-2x=9x+19
A.x = 11/12
B.x = -12/11
C.x = 1
Answer:
Answer is "B"
Step-by-step explanation:
Rearrange terms: 7-2x=9x+19
-2x+7=9x+19
Subtract 7 from both sides of the equation: -2x+7=9x+19
-2x+7-7=9x+19-7
Simplify: -2x=9x+12
Subtract 9x from both sides: -2x=9x+12
-2x-9x=9x+12-9x
simplifiy: -11x=12
solution: x=-12/11
You go to a Chicago Bears game. You spend a total of $72 buying brats "b" and hotdogs "h" for your group. You paid $6 per brat and $4 per hotdog. You bought a total of 14 brats and hotdogs. How many of each did you buy?
40) Jose and Eugene each improved their yards by planting rose bushes and geraniums. They bought their supplies from the same store. Jose spent $70 on 7 rose bushes and 4 geraniums. Eugene spent $50 on 6 rose bushes and 2 geraniums. Find the cost of one rose bush and the cost of one geranium
A) rose bush: $7, geranium: $9
B) rose bush: $6, geranium: $7
C) rose bush: $7, geranium: $5
D) rose bush: $8, geranium: $11
Answer:
I need points bro
Step-by-step explanation:
Answer: B) rose bush: $6, geranium $7
Step-by-step explanation:
Jose spent $70 on 7 rose bushes and 4 geraniums.
( 7 x $6 = $42 ) ( 4 x $7 = $28 )
$42+$28= $70
Eugene spent $50 on 6 rose bushes and 2 geraniums.
( 6 x $6 = $36 ) ( 2 x $7 = $14 )
36+14 =50
XZ is the perpendicular bisector of segment WY. Solve for k. Enter a NUMBER only.
Considering that XZ is the perpendicular bisector of segment WY, we have that the value of k is of k = 6.
What is the effect of XZ being the perpendicular bisector of segment WY?It means that XZ divides the segment into two segments of equal length, given by:
WX = XY.
From the lengths given, we can solve for k as follows:
3k + 17 = 7k - 7
4k = 24.
k = 24/4
k = 6.
The value of k is of k = 6.
More can be learned about perpendicular bisectors at https://brainly.com/question/11006922
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The function g(x) =f(x-6) is a transformation of the parent function, f(x) = x which of the following correctly describes the transformation
A the graph is translated 6 units left
B the graph is translated 6 units right
C the graph is translated 6 units up
D the graph is translated 6 units down
Answer:
A, I belive
Step-by-step explanation:
Seven less than twice a number is 43.
Answer:
x = 25
Step-by-step explanation:
Let's start with the sentence
Seven less than twice a number is 43.
Let's rearrange it to make it easier to convert to an equation
Twice a number subtracted by seven is 43
Now let's convert to an equation
Twice a number: 2x
Subtracted: -
Seven: 7
is: =
43
2x - 7 = 43
Now we can simplify by adding 7 to both sides.
2x = 50
Lastly, let's divide by 2 to isolate the x variable.
x = 25