Answer:
The answer is "[tex](25.32, 30.68)[/tex]"
Step-by-step explanation:
Given:
[tex]\bar x = 28\\\\ \sigma = 4\\\\n =26\\\\[/tex]
When [tex]98\%[/tex] confidence level so, the z:
[tex]\alpha = 1 - 98\% = 1 - 0.98 = 0.2\\\\\frac{\alpha}{2} =\frac{0.02}{2} = 0.01\\\\Z_{\frac{\alpha}{2}} = Z_{0.01} = 1.645\ \ \ ( Using \ z \ table )\\\\[/tex]
[tex]E = Z_{\frac{\alpha}{2} \times ( \frac{\sigma}{\sqrt{n}})[/tex]
[tex]= 1.645 \times (\frac{4}{\sqrt{26}})\\\\=2.68[/tex]
When 98% confidence interval estimate of the population mean is,
[tex]\bar x - E < \mu < \bar x + E\\\\28 - 2.68 < \mu < 28 + 2.68\\\\25.32 < \mu < 30.68\\\\(25.32, 30.68)\\\\[/tex]
What is the equation of a circle with center at (4, -2) and a radius of 7?
let h= 4, k=-2 and r= 7 then
(x-h)^2 + (y-k)^2 = r^2
(x-4)^2 + (y+2)^2 = 7^2
x^2 -8x +16 + y^2 +4y +4 = 49
x^2 +y^2 -8x +4y +16 +4-49 = 0
x^2 + y^2 -8x +4y -29 = 0 is the required eq
y are selling lollipops for $0.50 and candy bars for $1.50.
Lydia buys 6 lollipops and some candy bars.
If she spends $15 in total, how many candy bars, b, did Lydia buy?
Answer:
b=8
Step-by-step explanation:
You multiply $0.50 by 6 (to get the amount of money she spent on lollipops)=3 then you take the 3 and subtract it from $15 which gives you 12, finally you get 1.50-12 and do that 8 times which means she bought 8 candy bars
The graphs below have the same shape. What is the equation of the blue
graph?
Answer:
Your answer is C
Step-by-step explanation:
You first look at what is in the parenthesis, and you do the opposite. In this case the opposite of one to the right is -1. Then you look on the outside of the equation. The graph when down three places, so -3
suppos f(x) = x^3 find the graph of f(x+1)
Answer:
(x+)^3
Step-by-step explanation:
Select all the equations that are equivalent
Answer:
52=8n +4
4=52-8n
are equivalent
Answer:
a, b, c, e
Step-by-step explanation:
4(2n + 1) = 52 is the same as 52 = 8n + 4 if you use distributive property.
4 = 52 - 8n is the same as 52 = 8n + 4. The 8n is just subtracted from both sides.
4n = 48 is not the same as 4(2n + 1) = 52 or 52 = 8n + 4 or 4 = 52 - 8n.
n = 6 is the solution to the equation so it is equivalent.
A translation is applied to the triangle formed by the points A (-1,4), B(-1,10), and C(3,6). The image is the triangle that has vertices. A’(3,4), B’(3,10), and C’(7,6).
The triangle was translated…
The answers:
4 units to then left
4 units up
4 units to the right
4 units down
What is the value of x???
Answer:
x=63
Step-by-step explanation:
The degree measure of a line is 180 degrees.
180 degrees is made up of 117 and x
117+x=180
x=63
It is known that screws produced by a certain company will be defective with probability 0.01, independently of each other. The company sells the screws in packages of 10 and offers a money-back guarantee that at most 1 of 10 screws are defective. That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace
Answer:
The company must replace 0.0042 = 0.42% of packages.
Step-by-step explanation:
For each screw, there are only two possible outcomes. Either it is defective, or it is not. The probability of an screw being defective is independent of any other screw. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
It is known that screws produced by a certain company will be defective with probability 0.01.
This means that [tex]p = 0.01[/tex]
The company sells the screws in packages of 10
This means that [tex]n = 10[/tex]
That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace?
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which:
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{10,0}.(0.01)^{0}.(0.99)^{10} = 0.9044[/tex]
[tex]P(X = 1) = C_{10,1}.(0.01)^{1}.(0.99)^{9} = 0.0914[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9044 + 0.0414 = 0.9958[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9958 = 0.0042[/tex]
The company must replace 0.0042 = 0.42% of packages.
given the degree of measure of angle KJH is 66 degrees find the measure in radians
9514 1404 393
Answer:
E) 0.366π
Step-by-step explanation:
There are π/180 radians in a degree.
66° = 66°(π/180°) = (66/180)π = 11/30π ≈ 0.366π radians
__
11/30 = 0.366... repeating, so would normally be rounded to 0.367
Maria sold 50 books, or
30% of her book collection,
at a garage sale. How many
books were in Maria's
collection?
No links please
Answer:
167 books.
Step-by-step explanation:
30% = 50 books
1% = 50/30
100% = (50/30) * 100
= 167 books.
NEED HELP FROM SOMEONE SMART!!! A trapezoid's area can be calculated by the formula A = {(b + b2)h, where A stands for area, b, for the first base's length, b2 for the second base's length, and h for height. Find the area of the trapezoid below.
======================================================
Work Shown:
b1 = 14 and b2 = 6 are the two parallel bases
h = 9 is the height
A = area of trapezoid
A = h*(b1+b2)/2
A = 9*(14+6)/2
A = 9*20/2
A = 9*10
A = 90 square meters
Write an inequality for the graph
I have no idea how to solve this
Answer:
awww neither do i
Step-by-step explanation:
lol I got a 72 on my matb homework going to go jump off a cliff
What is the Tan J? URGENT HELP PLS
Answer:
4th Option, [tex]\frac{12}{5}[/tex]
Hope this helps!
(−10x^2+9)+(8x^2 −5x+7)
Answer:
-2x^2-5x+16
Step-by-step explanation:
Remove parenthesis:
-10x^2+9+8x^2-5x+7
Combine like terms:
-10x^2+8x^2-5x+9+7
= -2x^2-5x+9+7
=-2x^2-5x+16
A recipe requires 6 1/8 cups of milk Ran put in 3 7/8 cups and emptied a container. How much more milk does he need to put in?
Answer:
he would need 2 2/8 cups of milk
Step-by-step explanation:
you would just need to subtract 3 7/8 from 6 1/8
6 1/8 - 3 7/8 = 2 2/8
Two of the vertices of a triangle are located at (6,0) and (5,10) on the coordinate plane. The third vertex is located at (x,20) , where x is a negative value. The area of the triangle is 60 square units.
Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, write an equation that can be used to find the value of x .
PLEASE I NEED HELP! ASAP I WOULD REALLY APPRECIATE IT!!
Using the shoelace formula (Green’s Theorem) in counterclockwise fashion, the value of x is -8.
What is Shoelace formula ?Area of Polygon can be calculated using Shoelace formula described by Mathematician and Physicist Carl Friedrich Gauss where polygon vertices are described by their Cartesian coordinates in the Cartesian plane.
A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]
Shoelace formula (Green’s Theorem)
A = [tex]\frac{1}{2} |x_{1} y_{2} +x_{2} y_{3}+........x_{n-1}y_{n} +x_{n} y_{1} -x_{2} y_{1} -x_{3} y_{2} - ........-x_{n}y_{n-1}-x_{2}y_{n} |[/tex]
Where A is the area of the polygon and n is the number of sides of the polygon.
Here A = 6, n = 3, [tex]x_{1}[/tex] = 6, [tex]y_{1}[/tex] = 0, [tex]x_{2}[/tex] = 5, [tex]y_{2}[/tex] = 10, [tex]x_{3}[/tex] = [tex]x[/tex], [tex]y_{3}[/tex] = 20
A = 60 = [tex]\frac{1}{2} |(6.10)+(5.20)+(x.0)-(5.0)-(x.0)-(6.20)|[/tex]
60 = [tex]\frac{1}{2} |60+100-10x-120|[/tex]
60 = [tex]\frac{1}{2} |40-10x|[/tex]
60 = [tex]|20-5x|[/tex]
So 20 - 5x = -60
5x = 80
x = 16
20 - 5x = 60
5x = -40
x = -8
since x is a negative value,
we can know x = -8
Hence the value of x is -8.
Find out more information about green's theorem here
brainly.com/question/27549150
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The dot plots show the heights of boys and girls at a summer camp. Heights of Boys and Girls at Camp 2 dot plots with number lines going from 40 to 60. A plot is titled Boy's Heights. There are 0 dots above 40, 1 above 41, 3 above 44, 3 above 46, 2 above 48, 3 above 50, 4 above 52, 4 above 54, and 0 above 56, 58, and 60. A plot is titled Girl's Heights. There are 0 dots above 40 and 41, 2 dots above 44, 3 above 46, 1 above 48, 3 above 50, 4 above 52, 3 above 54, 4 above 56, and 0 above 58 and 60. Which is a true statement for most of the data in each plot? Most of the data in each plot are greater than 48. Most of the data in each plot are less than 48. Most of the data in each plot are around 52. Most of the data in each plot are around 54.
Answer:
A- most of the data in each plot is greater than 48
Step-by-step explanation:
took the test
Answer:
a
Step-by-step explanation:
a
find the area of this parallelogram with the measurements 5.2cm and 8.4cm
Answer:
43cm square
Step-by-step explanation:
A= bh
A=8.4cm x 5.2cm
A=43.68cmsqr
8. If AC = 2x + 2 and GF = 4x - 14, find the value of x.
help please??
Answer:
x=8
Step-by-step explanation:
2x+2 = 4x-14
16=2x
x=8
i need help with this math
Answer:
Perimeter = 56
Area = 196
Step-by-step explanation:
We use the Pythagorean theorem to calculate the half-length of the sides (a):
a² + a² = (7√2)²2a² = 7² * 22a² = 98a = 7Half of a side is 7, meaning that the full length is 14.
With that in mind we can calculate the perimeter and area:
Perimeter = 14 * 4 = 56Area = 14² = 196A baker has 10 pies. He will cut all the ples into pieces that are each of the whole ple.
How many pieces of pie will there be?
Answer:
I believe it to be 80 pieces if they are all cut into 8 pieces
Step-by-step explanation:
Answer:
I'm not sure how big each of the pieces of the pie are but I'm guessing 20 if each piece of pie is 1/2. Good luck on the question. Sorry I couldn't help you much.
Step-by-step explanation:
Help me out! I’ll give Brainly :) thank you!!
Answer:
f(5) = 15
Step-by-step explanation:
To evaluate f(5) substitute x = 5 into f(x) , that is
f(5) = 5² - 2(5) = 25 - 10 = 15
help pls!!!! would be appreciated thank you
Answer:
fairly sure its not the fourth one or the second one- so that narrows it down to the first and third one
Step-by-step explanation:
Can someone help me please
Answer:
4) 60 ft.²
5) 96 cm.²
6) 96
7) 126
8) 72
9) 32
10) 90
11) 216
(Formula for the area of a rectangle: length x width)
(Remember to follow PEMDAS when calculating the problems.)
Can someone answer this please l
Answer:
Step-by-step explanation:
(5a + 18) + (48 - a) + (8a - 30) = 180 (Angles on a straight line)
5a + 18 + 48 - a + 8a - 30 = 180
12a + 36 = 180
12a = 180 - 36
a = 144/12
a = 12
therefore, the first angle is, 78 degree, second angle is 36 degree and third angle is 66 degree.
Therefore, the size of the smallest angle is 36 degree
Suppose A and B are independent events. If P(A) = 0.6 and P(B) = 0.85, what is P(A and B)?
A. .34
B. .51
C. .17
D. .68
Answer:0.51 I just took the test
Step-by-step explanation:
WILL GIVE
BRAINLIST
...
.
Answer:
b. gain of 279 pounds
Step-by-step explanation:
107+85-27+114 = 279
Answer:
9100 + 107 + 85 - 27 + 114
Total weight = a. 9379 pounds
PLEASE PLEASE PLEASE look below I am crying
Answer:
it's C
Step-by-step explanation:
Imagine a coordinate plane. Move 5 units away, you'll end up with (-5, 2).
Hope I helped
Plz help me well mark brainliest if correct!!.....
Answer:
D
Step-by-step explanation:
Do I need to explain?
Answer:
D(8)
Step-by-step explanation:
So remember, 2 opposite sides of a triangle are equivelent.
We know that one of these sides are 3.
So the other side must be 3 as well.
This is 2 of the 4 sides of a rectangle.
If each side is 3, and there are two sides, this means that they add up to 6.
Subtract this from your total permiter:
22-6
=
16
Now remember, there are 2 sides left.
To find the answer, divide the 16(permiter left) by the 2(sides left):
16/2
=
8
This is your answer!
Hope this helps! :)