Answer:
True
Step-by-step explanation:
Sin t = 0.6
t = Sin⁻¹ (0.6) = 36.86
Cos t = 0.8
t = Cos⁻¹ 0.8 = 36.86
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]
what is the percent increase between 8,863,052 and 9,149,840?
Answer:
[tex]increase = 9149840 - 8863052 \\ = 286788 \\ \% \: increase = \frac{286788}{8863052} \times 100\% \\ = 3.24\%[/tex]
Answer:
=3.23577% increase
Step-by-step explanation:
1) subtract final value minus starting value
2) divide that amount by the absolute value of the starting value
3) multiply by 100 to get the percent increase
4) if the percentage bis negative, it means there was a decrease and not an increase
What is the value of x?
sin 49° = COS X
Enter your answer in the box.
X =
Answer:
x = 41°
Step-by-step explanation:
Using the cofunction identity
sinx = cos(90 - x) , then
sin49° = cos(90 - 49)° = cos49°
with x = 41°
When a cup of coffee at 100 degree Celsius cools down ,it loses 12%of its current temperature
per minute. What will the temperature be after 10 minutes.
Answer:
Temperature after 10 minute = 27.9 degree Celsius
Step-by-step explanation:
Current temperature, P = 100 degree Celsius
% rate in temperature loses = 12% per minute = 0.12
Time, t = 10 minutes
Temperature after t minutes ,
[tex]= P ( 1 - r )^t\\\\=100( 1 - 0.12)^10\\\\=100(0.278500976)\\\\=27.85[/tex]
= 27.9 degree Celsius
x+2y =27 and 2x-y=19
Answer:
x = 13 , y = 7
Step-by-step explanation:
x + 2y = 27 => x = 27 - 2y ---------( 1 )
2x - y = 19 ------------ ( 2 )
Substitute ( 1 ) in ( 2 ) :
2x - y = 19
2(27 - 2y) - y = 19
54 - 4y - y = 19
-5y = 19 - 54
-5y = -35
y = 7
Substitute y = 7 in ( 1 ) :
x = 27 - 2y
x = 27 - 2( 7 )
x = 27 - 14
x = 13
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)
Nolan plots the y-intercept of a line at (0, 3) on the y-axis. He uses a slope of 2 to graph another point. He draws a line through the two points. Which equation represents Nolan’s line?
y = 2x + 1
y = 2x + 3
y = 3x + 2
y = 3x + 5
Answer:
B
Step-by-step explanation:
The equation of Nolan's line is
The slope-intercept form of a line is given by:
Here
m is the slope of the line
and b is the y-intercept.
Given
y-intercept = b = 3
slope = m = 2
The values of m and b can be put into the equation to find the line's equation
So,
Putting the value
Hence,
The equation of Nolan's line is
What is the slope that passes through the points (-8, -7) and (-5, 2)?
Answer:
3
Step-by-step explanation:
The equation for finding a slope is (y2-y1)/(x2-x1), where (x1, y1) is a set and (x2,
y2) is another set. (2-(-7))/(-5-(-8) = (2+7)/(-5+8) = 9/3 = 3. Hope this makes sense and helps!
Answer:
3
Step-by-step explanation:
To find the slope given two points, we use the slope formula
m = ( y2-y1)/(x2-x1)
m = ( 2 - -7)/(-5 - -8)
= (2+7)/( -5+8)
9/3
3
Plsss help I will give brainliest
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:
Mark's average after 9 exams was 60. After 10 exams it had decreased to 50. How many marks did he score in his 10th exam?
Answer:
hey how much mark he scored in 9th exam give proper data or how many subject there
What is the answer ?????
Step-by-step explanation:
very difficult............
Please help me with this
Answer:
O = 29
P = 61
Step-by-step explanation:
90 = (x+3) + (2x+9)
90 = 3x + 12
90 - 12 = 3x
78 = 3x
x = 26
26 + 3 = O = 29
(26 * 2) + 9 = P = 61
61 + 29 = 90 = Complementary Angles
Solve for the value of x in the diagram: Show your work and explain the steps you used to solve.
Answer:
x = 20
Step-by-step explanation:
The triangles are similar
3 (3+5)
----- = ----------
12 (12+x)
Using cross products
3(12+x) = 12*(3+5)
3(12+x) = 12*8
3(12+x) = 96
Divide by 3
3(12+x)/3 = 96/3
12+x = 32
Subtract 12
12+x-12 =32-12
x = 32-12
x =20
(-2,0);(0,7)
A.What is the slope?
B.What is the equation in point-slope form?
Answer:
A. 7/2 B.y - 0 = 7/2(x + 2)
Step-by-step explanation:
y2 - y1 / x2 - x1
7 - 0 / 0 - (-2)
7 / 2
= 7/2
y - 0 = 7/2(x + 2)
b) Find x and y.
x = 10-6
Answer:
to find y you have to do trigonometry
A line contains the points (2,-7) and (-4,2). Which statement is not true?
A) The line has y-intercept - 4
B) The line contains
(1,-)
2
C) The line is parallel to 3x - 2y=6 D) The line is perpendicular to y=x+4
E) No portion of the graph of the line lies in the first quadrant
Answer:
a is the answer because I just did that question and got 100 percent.
straight line graphs
Answer:
I don't get it what is the question ❓
Chloe wants to make a scrapbook with old family photos. An online scrapbooking company charges $45 plus $1 per page. Meanwhile, a family friend is willing to make a scrapbook for $9 plus $4 per page. For a certain number of pages, the prices would be equal. How many pages would that be? How much would Chloe be charged?
Answer:
The prices are equal when it's 12 pages. For 12 pages, she'd be charged $57
Step-by-step explanation:
x = PER page
y = total
Online scrapbooking equation:
y = 45 + x
Family friend equation:
y = 9 + 4x
Where prices (y) would be equal:
y = 45 + x (Multiply this by -4)
y = 9 + 4x
y = 9 + 4x
-4y = -180 - 4x
-3y = -171
y = 57
y = 45 + x
-y = -9 - 4x
0 = 36 - 3x
3x = 36
x = 12
47 divided by 25, work it out step by step
Answer:
1.88
Step-by-step explanation:
47/25
= 1.88
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°
How many in five days?
Answer:
d
Step-by-step explanation:
Answer:
I think it is B
Step-by-step explanation:
Coraline was training for cross country season an app to track 24 laps around the track that measures 110 m what was the total distance Coraline ran in kilometers
Answer:
2.64 km
Step-by-step explanation:
The first step is to calculate the distance in meters
= 24×110
= 2640 meters
1km= 1000 meter
2640 meters to kilometer
= 2640/1000
= 2.64 kilometers
Hence the distance is 2.64 km
.y is inversely proportional to (x + 3) ?.
When x = 2, y = 8.
Find y when x = 7.
A 100
B. 4
C. 2.
D. 16
OA
Answer:
B
Step-by-step explanation:
y = k/(x + 3)
Let x = 2
Let y = 8
k = ?
8 = k/(2 + 3) Combine the terms on the right
8 = k/(5) Multiply both sides by 5
8*5 = k
k = 40
Let x = 7
y = 40/(7 + 3)
y = 40/10
y = 4
I need help fast please!
Con procedimiento por favor
Answer:
C
Step-by-step explanation:
if a student is selected at random, find the probability the student is a male given that its a sophomore
Answer:
60
Step-by-step explanation:
:)
The following table shows the salary of 7 people in an office last year.
Name
Income
Andy
£13500
Bevan
£27500
Cheryl
£13750
Deva
£79000
Elliott
£19250
Frankie
£29000
Grace
£15000
a) Work out the mean income to 2 DP.
b) Deva was given a large bonus for 30 years service..
Excluding Deva's income, what was the mean income for the remaining 6 workers to 2 DP?
Answer:
23 poudsfgghhhhhhhxcvbnmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmm
How do I solve this?
Answer:
3p³ + 2p² – 3p – 11
Step-by-step explanation:
From the question given above, the following data were obtained:
Side 1 (S₁) = –1(p + 5)
Side 2 (S₂) = 2(p² – 3)
Side 3 (S₃) = 3p³ – 2p
Perimeter (P) =?
The perimeter of the triangle can be obtained as follow
P = S₁ + S₂ + S₃
P = –1(p + 5) + 2(p² – 3) + 3p³ – 2p
Clear bracket
P = –p – 5 + 2p² – 6 + 3p³ – 2p
Rearrange
P = 3p³ + 2p² – 2p – p – 6 – 5
P = 3p³ + 2p² – 3p – 11
Therefore, the perimeter of the triangle is 3p³ + 2p² – 3p – 11
the grid below is made up of squares with sides of 1cm draw a rectangle with an area of 12 cm squared
Answer:
6 is length and 2 is width.
