Find the average of the numbers 8, 13,15
Answer:
average = 12
Step-by-step explanation:
average = sum of numbers/no. of numbers
=8 + 13 + 15 /3
=36/3
=12
Felix is a quality control expert at a factory that paints car parts. Their painting process consists of a primer coat, color coat, and clear coat. For a certain part, these layers have a combined target thickness of 150 microns. Felix measured the thickness of 50 randomly selected points on one of these parts to see if it was painted properly. What is Felix's margin of error? "Round to 2 decimal places
Answer:
0.9
Step-by-step explanation:
His sample had a mean thickness of 148 microns and a standard deviation of 3.3 microns with a 95% confidence interval for the mean thickness.
Solution:
The z score shows by how many standard deviations the raw score is above or below the mean.
Given that:
The mean (μ) = 148 microns, standard deviation (σ) = 3.3 microns, sample size (n) = 50 and confidence interval (C) = 95%
α = 1 - C = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
The z score of α/2 is the same as the z score of 0.475 (1 - 0.025) which is equal to 1.96
The margin of error (E) is given by:
[tex]E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} } \\\\E=1.96*\frac{3.3}{\sqrt{50} } \\\\E=0.9\ microns[/tex]
When a hockey team gets possession of the puck, the following probabilities have been
estimated:
They carry the puck over the opposing blue line 0.6.
• They get a shot on net 0.3.
• They get a shot and score 0.01
• They cross the blue line and score 0.005.
Determine the probability that they score given that they get a shot.
Answer: p(a given b) = p(a and b) / p(b)
a is the probability that they score.
b is the probability that they cross the blue line.
p(a and b) is given as .005
this is the probability that they cross the blue line and score.
p(b is given as .6
that's the probability that they cross the opposing blue line.
the formula becomes:
p(a given b) = .005 / .6 = .0083333333.....
that's what i get using the p(a given b) formula.
Step-by-step explanation:
Hello I need the answer fast plssssss
Answer:
32
Step-by-step explanation:
8x6=48
2x4=8
48-16=32
Answer:
[tex]area = 2(area \: of \: trapezium) - 2(area \: of \: triangle) \\ = 2( \frac{1}{2} h(a + b)) - 2( \frac{1}{2} bh) \\ = 4(4 + 6) - (4 \times 2) \\ = 40 - 8 \\ = 32 \: {ft}^{2} [/tex]
can someone pls help for brainlest
Answer:
10 times 20 would be 200 divided by 2 since its a triangle which is 100
now muttiple 100 by 20 to get 2000
Your Welcome
plz brainlest
Answer:
Hi :) the answer would be 2000
Step-by-step explanation:
All you have to do is multiply all of the sides together and divide by 2. I hope this helped! Have a good day♡
rewrite: as a power of five:125;625;15625
Answer: 125 = 5³
625 = 5⁴
15625 = 5^6
Step-by-step explanation:
Tge question simply states that we should write the numbers given below in power of 5 and the number goes thus:
125 = 5 × 5 × 5 = 5³
625 = 5 × 5 × 5 × 5 = 5⁴
15625 = 5 × 5 × 5 × 5 × 5 × 5 = 5^6
In the first quadrant you start at 2, 6 and move 2 units right and 3 units down what point will you end up on?
Answer:
(4, 3)
Step-by-step explanation:
(2+2 , 6-3) = (4 , 3)
Use a calculator to evaluate 4^sqrt 4 to the nearest ten thousandth.
a. 7.1030
b. 16.000
c. 50.4525
d. 256.1234
Answer:
b. 16.000
Step-by-step explanation:
[tex]4^{\sqrt{4}}[/tex]
[tex]\sqrt{4} =2[/tex]
=[tex]4^2[/tex]
=16.000
What is the answer I need helppppp
Answer:
y= 4 x=0 (0,4)
Step-by-step explanation:
5x+y=4
-5x +y=4
the 5x would cancel out because they equal zero
2y=4
divide both sides by 2
y=4
put the y into one of the equations
5x +4 =4
subtract 4 from both sides
5x=0
divide five from both sides
x=0/5
so x=0
Step-by-step explanation:
5x+y=4 --> y=-5x+4
Plug this into the other equation:
-5x+(-5x+5)=4
Simplify:
-10x=1
x=-.1 (save this answer)
Plug into first simplified equation:
y=-5(-.1)+4
Solve:
y=4.5
(-.1 , 4.5)
help me with these!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Hope this helps u!!
what equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number"?
Answer:
6+2(n+4) = (3-n)÷2
Step-by-step explanation:
6 + 2n + 8 = (3-n)/2
14 + 2n = (3-n)/2
multiply through by 2 to eliminate the denominator
28 + 4n = 3 - n
25 + 4n = -n
25 = -5n
n = -5
2. A stack of 500 sheets of paper is 2.5 inches high. Each sheet of paper is 8.5 inches wide and 11 inches long. A person places more sheets onto the stack, making the total volume of the stack 561 cubic inches. Approximately how many more sheets of paper were added to the original stack of paper?
1) 200
2) 700
3) 1,200
4) 1,700
For the image below, state the line of reflection:
4
***
O
y=-x
o
yx
o
X-axis
y-axis
State the line of reflection of this pre-image and image
I will give brianliest!! 20 points. Look at the picture for the question…
the answer is B. A translation 1 unit to the right followed by 180-degree counterclockwise rotation about the origin.
1. The function below models the value of Tiana's car, where x represents
the number of years since she purchased the car. What is the rate of
growth or decay?*
f(x) = 24,000. 0.88
O Option 2 -88% Growth
O Option 3 -12% Decay
O Option 1 - 88 % Decay
O Option 4 - 12% Growth
Answer:
option 4
Step-by-step explanation:
Option 3 -12% Decay
Step-by-step explanation:
Con procedimiento por favor
Answer:
C
Step-by-step explanation:
Which linear inequality is represented by the graph?
plz help
47 divided by 25, work it out step by step
Answer:
1.88
Step-by-step explanation:
47/25
= 1.88
simplify 3^3 - 2x(5x-5) + √25
I WILL GIVE BRAINLIST AND 5 STARS
Show that (2x + i)(2x – i) = 4x² + 1
Answer:
see below
Step-by-step explanation:
(2x + i)(2x – i)
FOIL
first 2x*2x =4x^2
outer -i * 2x = 2x i
inner i * 2x = 2x i
last i * -i = -i^2 and i^2 = -1 so - (i^2 ) = - (-1) = 1
Add together
4x^2 + 2xi -2x i +1
Combine like terms
4x^2 +1
true or false : A triangle can have interior angles of 50 degrees, 70 degrees, and 68 degrees
Answer:
it is false as the sum of the degrees of the triangle should be 180 but here it is 188 so it is false
can someone please help me with the second question….will give brainliest :(
Answer:
its 3.
Step-by-step explanation:
Answer:
(3)
(1)
(4)
Step-by-step explanation:
35
Find the value of x.
30
16
Х
Answer:
B:34
Step-by-step explanation:
16² + 30² = c²
256 + 900= 1156
square root of 1156 is 34
A sculptor creates an arch in the shape of a parabola. When sketched onto a coordinate grid, the function f(x) = –2(x)(x – 8) represents the height of the arch, in inches, as a function of the distance from the left side of the arch, x. What is the height of the arch, measured 3 inches from the left side of the arch?
Answer:
30 inches
Step-by-step explanation:
f(x) = –2(x)(x – 8)
x = 3
f(3) = -2(3)(3 - 8)
f(3) = -2(3)(-5)
f(3) = 30
30 inches
Answer:
30 inches
Step-by-step explanation:
Can you please ans me??
Answer:
see explanation
Step-by-step explanation:
A linear pair of angles sum to 180° , then
3x + 10 + 4x - 5 = 180
7x + 5 = 180 ( subtract 5 from both sides )
7x = 175 ( divide both sides by 7 )
x = 25
Then
3x + 10 = 3(25) + 10 = 75 + 10 = 85°
4x - 5 = 4(25) - 5 = 100 - 5 = 95°
------------------------------------------------------------
3x - 3 + 5x + 7 = 180
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22
Then
3x - 3 = 3(22) - 3 = 66 - 3 = 63°
5x + 7 = 5(22) + 7 = 110 + 7 = 117°
Answer:
see explanation
Step-by-step explanation:
A linear pair of angles sum to 180° , then
3x + 10 + 4x - 5 = 180
7x + 5 = 180 ( subtract 5 from both sides )
7x = 175 ( divide both sides by 7 )
x = 25
Then
3x + 10 = 3(25) + 10 = 75 + 10 = 85°
4x - 5 = 4(25) - 5 = 100 - 5 = 95°
------------------------------------------------------------
3x - 3 + 5x + 7 = 180
8x + 4 = 180 ( subtract 4 from both sides )
8x = 176 ( divide both sides by 8 )
x = 22
Then
3x - 3 = 3(22) - 3 = 66 - 3 = 63°
5x + 7 = 5(22) + 7 = 110 + 7 = 117°
what is the slope of the line y = 8x - 10
Answer:
slope is 8
Step-by-step explanation:
y=Mx+c
m is the slope therefore the slope is equal to 8
The slope of the line y = 8x - 10 is 8.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.
Given line is y = 8x - 10
Equation of a line in slope intercept form is given by,
y = mx + c
Here, m is the slope and c is the y intercept.
The given equation is in the slope intercept form.
y = 8x - 10
The coefficient of x is the slope.
So slope of the given line = 8
Hence the slope of the line y = 8x - 10 is 8..
Learn more about Slope here :
https://brainly.com/question/14511992
#SPJ2
A company is testing and comparing two hair spray formulas. The box plots show the number of hours each hair spray lasts before reapplication is necessary. Which statement is best supported by the information in the plots?
1.Hair spray B will always last two hours longer than hair spray A.
2.Hair spray A will likely last longer than hair spray B.
3.Hair spray B will likely last longer than hair spray A.
4.Hair spray B will always last longer than hair spray A.
Answer:
Foundations of Financial Management with Time Value of Money card (15th Edition) Edit edition Solutions for Chapter 4 Problem 9P: Vitale Hair Spray had sales of 13,000 units in March. A 70 percent increase is expected in April. The company will maintain 30 percent of expected unit sales for April in ending inventory.
Step-by-step explanation:
Two boats leave Port West at 8:00am. One boat travels a bearing of N23°E at a speed of 14 knots. The other travels a bearing of N78°E at a speed of 22 knots. How far apart are the boats at 11:00am?
pls help me solve pls show how you got the answer
Answer:
Square root of 77.44 = height and length of gray squares = 8.8 cm
Since there are 3 squares that make up the height of that object 8.8 cm * 3 =
26.4 cm (the height of 3 gray squares
Square root of 4.84 = 2.2 cm
So the total height = 26.4 + 2.2 = 28.6 cm
Step-by-step explanation:
The question is in the screenshot. ( I really need help in this one)
Answer:
V=A*L
V=72*6
V=432 in cube
