Answer:
[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]
The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:
[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]
Step-by-step explanation:
For this case we have the following info given:
[tex] \sigma = 0.73[/tex] represent the population deviation
[tex] \bar X = 84.5[/tex] represent the sample mean
[tex] n =60[/tex] represent the sample size
And we want to find the margin of error for a confidence level of 95%. So then the significance level would be [tex]\alpha=1-0.95 = 0.05[/tex] and [tex]\alpha/2 =0.025[/tex]. The margin of error is given by:
[tex] ME = z_{\alpha/2} \frac{\sigma}{\sqrt{n}}[/tex]
The critical value can be founded in the normal standard distribution table using the value of [tex]\alpha/2 =0.025[/tex] and we got [tex] z_{\alpha/2}=1.96[/tex]. Replacing the info given we got:
[tex] ME = 1.96 \frac{0.73}{\sqrt{60}}= 0.185[/tex]
What is 20 divided by 2
Answer:
10
Step-by-step explanation:
10 x 2 = 20
10 = 20 / 2
Answer:
10
Step-by-step explanation:
2×1=2
2×2=4
2×3=6
2×4=8
2×5=10
2×6=12
2×7=14
2×8=16
2×9=18
2×10=20
You spent 1/3 of your birthday money on 6 video games. If each video gamecost the same amount, what fraction of your birthday money did each video game cost?
Answer:
1/18
Step-by-step explanation:
Let x represent the total birthday money
And y the amount of each video games
Given;
You spent 1/3 of your birthday money on 6 video games
6y = (1/3)x ......1
Since each of the six video games cost the same.
The fraction of your birthday money that each video game cost is;
from equation 1, making y the subject of formula;
6y = (1/3)x
divide both sides by 6;
y = (1/3)x × 1/6 = (1/18)x
Therefore, each video game cost 1/18 of the total birthday money.
What is the solution of the systems of equations? Y=3x-4 and -3y=-9x+12
Answer: it has infinite solutions.
Step-by-step explanation:
[tex]y=3x-4\\-3y=-9x+12[/tex]
Plug y in the second equation.
[tex]-3y=-9x+12\\-3(3x-4)=-9x+12\\-9x+12=-9x+12\\-9x+9x=12-12\\0=0[/tex]
-9x + 0.4 = 4 hhhhhhhhheeeeeeeeellllllllppppppp
Answer:
x = -0.4
Step-by-step explanation:
First subtract the 0.4 from both sides. Then divide both sides by -9 to solve for x.
Answer:
-0.4
Step-by-step explanation:
Subtract 0.4 from both sides.
-9x + 0.4 = 4
-0.4 -0.4
-9x = 3.6
Divide both sides by -9.
-9x/-9 = 3.6/-9
Simplify
x = -0.4
I hope this helps. If you have any more questions, please feel free to post them and someone will be able to help you, whether it's myself or others. Please leave a like, rating, and if possible, Brainliest. Have a great day!
What is the y-intercept of line 12?
Answer:
y int. of line 1 = 0
y int. of line 2 = 4
Step-by-step explanation:
hope this helps! moo!
Answer:
Answers are below
Step-by-step explanation:
The y-intercept of line 1 is 0 because it crosses the y-axis at 0.
The y-intercept of line 2 is 4 because it crosses the y-axis at 4.
Carl surveyed his classmates about their favorite colors. The graph shows the survey results. A circle graph titled Favorite Colors. 50 percent is blue, 25 percent is orange, 25 percent is green. Which statements about the circle graph are correct? Check all that apply.
25% of the students said blue was their favorite color.
33% of the students said green was their favorite color.
25% of the students said orange was their favorite color.
50% of the students said either green or orange was their favorite color.
66% of the students said either orange or blue was their favorite color.
Answer: 25% of the students said orange was their favorite color.
50% of the students said either green or orange was their favorite color.
Step-by-step explanation:
The statements about the circle graph are correct;
C. 25% of the students said orange was their favorite color.
D. 50% of the students said either green or orange was their favorite color.
What is a circle?A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.
Given that circle graph titled Favorite Colors. 50 percent is blue, 25 percent is orange, 25 percent is green.
In total, there are 100 students.
50 %is blue,
25 %is orange,
25 %is green.
Therefore, 25% of the students said orange was their favorite color and 50% of the students said either green or orange was their favorite color.
More can be learned about circle graph at;
https://brainly.com/question/16483602
#SPJ2
Please help!
Find the interval of convergence for:
Please note: The 2 in the picture must actually also be an exponent, so n^2^n.
Answer:
-∞ < x < ∞
Step-by-step explanation:
∑ xⁿ / n^(2ⁿ)
Apply ratio test:
lim(n→∞) | [xⁿ⁺¹ / (n+1)^(2ⁿ⁺¹)] / [xⁿ / n^(2ⁿ)] |
lim(n→∞) | [xⁿ⁺¹ / (n+1)^(2ⁿ⁺¹)] × [n^(2ⁿ) / xⁿ] |
lim(n→∞) | x n^(2ⁿ) / (n+1)^(2ⁿ⁺¹) |
0
The series converges for all values of x.
Scarlett bought 9 chicken wings for $3. What was the cost of the wings in wings per dollar? Express your answer in simplest form.
Answer:
3
Step-by-step explanation:
To find how much you can get for one dollar, you have to divide 9 by 3. If you have to find how many units can you get for one dollar, (you need to divide the larger number by the smaller)
Divide 9 by 3.
9/3=3
So, with $1, you can get 3 chicken wings.
can help for this questing
1) 2)
Answer:
1. Median
2. Altitude
Step-by-step explanation:
Medians- Bisect the side (Split the side into two equal parts)
Altitude- Makes a right angle
1. Splits the side into two equal parts. Anwser: Median
2. Makes a right angle Answer: altitude
In a quadrilateral, the measure of two opposite angles is the same. Each of the other
two angles measures exactly two times the given angle. Find the measure of each angle
in the quadrilateral.
Answer:
the two opposite angles equal 45 and the other two who are twice the amount is 90
Step-by-step explanation:
sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be
x+x+2x+2x=360
8x=360
x=45
so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90
A hot metal plate at 150°C has been placed in air at room temperature. Which event would most likely take place over the
next few minutes?
Molecules in both the metal and the surrounding air will start moving at lower speeds.
Molecules in both the metal and the surrounding air will start moving at higher speeds.
The air molecules that are surrounding the metal will slow down, and the molecules in the metal will speed up
The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down
Answer:
Molecules in both the metal and the surrounding air will start moving at lower speeds?
Step-by-step explanation:
I'm not sure this is the right answer, because i thought that the air and the metal would be in equilibrium.
So sorry if this is wrong, chemistry isn't my strongest subject.
Answer:
The air molecules that are surrounding the metal will speed up, and the molecules in the metal will slow down.
Step-by-step explanation:
helpppppp pros only helppppppp me plzzzzzzzzzzz ill reporte you if you do bad qweshtones
Answer:
We are looking for 2 numbers that have a product of 72 and a sum of 17. These 2 numbers are 9 and 8. Therefore, the factored version would be (z + 9)(z + 8), or A.
Hope this helps!
10/root 11 minus one
Answer:
1100
Step-by-step explanation:
I just guessed!
What is the solution to the system of equations?
y= {x+3
x = -2
Answer:
y=1
x=-2
Step-by-step explanation:
You're given one, so solve for y by entering -2 (x) into it's equation.
y=x+3
y=-2+3
y=-1
The other is given, so you have your answer.
:)
who is the best rapper
Answer:
Eminem.
Rakim.
Nas.
Andre 3000.
Lauryn Hill.
Ghostface Killah.
Kendrick Lamar.
Lil Wayne
Step-by-step explanation:
Answer:
Logic
Step-by-step explanation:
Convert 7/6 to a mixed number
Answer:
[tex] 1 \frac{1}{6} [/tex]
Step-by-step explanation:
[tex]\huge \frac{7}{6} = 1 \frac{1}{6} [/tex]
Hope it helps you in your learning process.
Stan is serving lemonade at the school dance out of a cylindrical container. The radius is 10 inches and the height is 36 inches. The lemonade is poured into cone shaped cups with a radius of 2 inches and a height of 5 inches. How many full cone shaped cups can be filled from the cylindrical container?
Answer:
540 cups
Step-by-step explanation:
Number of cone shaped cups = Volume of cylinder/volume of cone
Cylinder:
r = 10 inches
h = 36 inches
Volume = πr²h
= π * 10*10*36
= 3600 π cubic inches
Cone:
r = 2 inches
h = 5 inches
Volume = (1/3)πr²h
[tex]=\frac{\pi*2*2*5 }{3}\\\\=\frac{20\pi }{3} cubic inches[/tex]
Number of cones = 3600 π / (20π/3)
[tex]= 3600\pi *\frac{3}{20\pi }\\\\= 180*3[/tex]
= 540
how do I do this math question? Full working/explanation.
Answer:
50g sugar, 100g butter and 400g flour
Step-by-step explanation:
You need to find the ingredient that is the limiting factor, in this case it is flour, because you relatively need the most of that.
If all 400g flour is used, you need 4 times less grams of butter, since the ratio between butter and flour is 2 : 8 and they differ by a factor of 4.
That gets you 400/4 = 100g butter, so in fact you're not using 200g of the remaining butter.
Likewise, you'll need 400 / 8 grams of sugar, which is only 50g.
So at least one of the ingredients you'll completely use, the other ones you need less according to the ratio.
Find five rational numbers between 3/7 and 2/3
PLEASE HELP...... I NEED TO SUBMIT THIS NOW....
Answer:
First, you get both of them with same denominator:
3/7 and 2/3 => 9/21 and 14/21, however, there are only 4 rational numbers between 9/21 and 14/21.
The solution is that you can raise the denominator 2 times:
9/21 and 14/21 => 18/42 and 28/42
Now you can select : 19/42, 20/42, 21/42, 22/42, 23/42. They are a group of 5 rational numbers you are looking for.
Find the surface area of the prism. Write your answer as a decimal.
Answer:
382.5 in²
Step-by-step explanation:
2 triangles + 3 lateral sides
2(½ × 10 × 9) + (10 × 9) + (9 × 9) + (13.5 × 9)
90 + 90 + 81 + 121.5
382.5 in²
Answer:
[tex]382.5 {in}^{3} [/tex]
Step-by-step explanation:
hope this helps
What table represent a linear function
Answer: D
Step-by-step explanation:
every time x increases by 1 y increases by 5
hope this helps :3
Convert/change 1/5 to a percent
Answer: 20%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100.
So to write 1/5 as a percent, we need to find a fraction equivalent to 1/5 that has a 100 in the denominator.
We can do this by setting up a proportion.
[tex]So[/tex] [tex]we[/tex] [tex]have[/tex] [tex]\frac{1}{5} = \frac{n}{100}[/tex].
Now, we can use cross-products to find the missing value.
So we have (1)(100) which is 100 is equal to (5)(n) or 5n.
So we have 100 = 5n.
Next, dividing both sides of the equation by 5, we have 20 = n.
So 1/5 is equal to 20/100 or 20%
Gonna need this in like 5 hrs please help
Answer:
G. Oatmeal is the favorite type of cereal for 15% of the children
Step-by-step explanation:
Oatmeal is 15/50 of the students' favorites, so it would actually be 30% therefore it is not supported. Hope this was helpful! :)
The pig pen below has a width of 7 feet and a length of 4 feet. What is the area of the pig pen. Show your work and remember that area is in square units. Hog Pen with Cover: Little Buster Toys
Step-by-step explanation:
It sounds like you are looking for a rectangle.So to find the area you would multiply 7 by 4 to get 28 square feet for the area.
Joanne wants to put wallpaper in her daughter's room. Each wall measure 16.8 feet long by 12.9 feet wide. What is the area of one wall in her daughter's bedroom?
PLEASE HELP!! Which diagram best models 2x3 + x2 + 3x + 4?
Answer:
O lol top right still
Step-by-step explanation:
Find tan(a) in the triangle
Any help will be appreciated thank you
Answer:
b 24/25
Step-by-step explanation:
SOHCAHTOA
tan is Opposite over Adjacent sides of the triangle from the perspective of angle A
so the opposite side was 24 and the adjacent side was 25
so the answer is 24/25 aka B
36 + 1.80 + 2.16 I'm stuck
Answer:
39.96 should be the right answer
Answer: 39.96
Step-by-step explanation:
36+1.80=37.80
Then you add 2.16
37.80+2.16=39.96
Find the value of x. (Circles)
Answer:
x =64.5
Step-by-step explanation:
Inscribed Angle = 1/2 Intercepted Arc
The total circle is 360 degrees
The arc is 360 - 113 - 118
arc =129
x = 1/2 (129)
x =64.5
Answer:
64.5°
Step-by-step explanation:
Using the inscribed angle theorem here would help to find the value of x°.
The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle.
First find the arc PM. Write an equation to show that the measures of the following arcs: PQ, QM, and PM add up to 360°, since they span an entire circle. Then solve for the arc PM.
mPM + mPQ + mQM = 360°
mPM + 113° + 118° = 360°
mPM + 231 = 360°
mPM = 129°
Now, find m<Q. <Q is an inscribed angle that intercepts the arc PM, so use the Inscribed Angle Theorem.
m<Q = 1/2 * mHJ
= 1/2 ( 129 )
= 64.5°
X = 64.5 degrees.
Luke bought three canvas boxes to store his papers. The canvas boxes have dimensions of 12 inches by 10 inches by 12 inches. What volume of itmes can be the three canva boxes hold?
Given Information:
Number of boxes = 3
Length of boxes = L = 12 inches
Width of boxes = W = 10 inches
Height of boxes = H = 12 inches
Required Information:
Volume of items boxes can hold = ?
Answer:
[tex]Volume = 4320 \: in^{3}[/tex]
Step-by-step explanation:
We are given that Luke bought 3 canvas boxes to store his papers.
We are also provided the dimensions of boxes.
We are asked to find out the volume of items that can be stored by these 3 canva boxes.
A canva box has shape of a rectangular prism and its volume is given by
[tex]Volume = L \times W \times H[/tex]
Where L is the length of the box, W is the width, and H is the height of box.
[tex]Volume = 12 \times 10 \times 12 \\\\Volume = 1440 \: in^{3}[/tex]
So the volume of 3 boxes is
[tex]Volume = 3\times 1440 \\\\Volume = 4320 \: in^{3}[/tex]
Therefore, the 3 canva boxes can store 4320 cubic inches of volume.
Answer:
D) 4,320
Step-by-step explanation:
