x = 33°
Then :-
m∠1 = 33° ( angle x and angle 1 are corresponding angles on a transversal )
Which means :-m∠1 + m∠2 = 90° ( angle 1 and angle 2 are complementary angles )
33 + ∠2 = 90
∠2 = 90 - 33
m∠2 = 57°
Then :-m∠1 + m∠3 = 180° ( angle 1 and angle 3 are a linear pair )
33 + ∠3 = 180°
∠3 = 180 - 32
m∠3 = 147°
Therefore , m∠1 = 33°m∠2 = 57° m∠3 = 147°The data below indicate the time (in seconds) that it takes 25 separate employees to complete a certain task. hw1_q5.csva) What is the mean of the data in seconds? Give your answer to three decimal places.b) What is the median of the data in seconds?c) What is the variance of the data in seconds? Give your answer to three decimal places.d) What is the standard deviation of the data in seconds? Give your answer to three decimal places.e) What is the mean of the data in minutes? Give your answer to three decimal places.f) What is the median of the data in minutes? Give your answer to three decimal places.g) What is the variance of the data in minutes? Give your answer to three decimal places.h) What is the standard deviation of the data in minutes? Give your answer to three decimal places.seconds260224221255236215193285244284222185182197253191255231229168152221244239246
Answer:
Explained below.
Step-by-step explanation:
Consider the data provided.
(a)
Compute the mean of the data in seconds as follows:
Mean =AVERAGE(array)
= 225.280 seconds
(b)
Compute the median of the data in seconds as follows:
Median =QUARTILE.EXC(array,2)
= 229 seconds
(c)
Compute the variance of the data in seconds as follows:
Variance =VAR.S(array)
= 1148.043 seconds
(d)
Compute the standard deviation of the data in seconds as follows:
Standard deviation =STDEV.S(F2:F26)
= 33.883 seconds.
(e)
Compute the median of the data in minutes as follows:
Median =QUARTILE.EXC(array,2)
= 3.755 minutes.
(f)
Compute the median of the data in minutes as follows:
Median =QUARTILE.EXC(array,2)
= 3.817 minutes
(g)
Compute the variance of the data in minutes as follows:
Variance =VAR.S(array)
= 0.319 minutes
(h)
Compute the standard deviation of the data in minutes as follows:
Standard deviation =STDEV.S(F2:F26)
= 0.565 minutes.
Lines I and M are parallel.
What is the measure of angle 3?
Answer:
25
Step-by-step explanation:
By the vertical angle theorem, we can find that:
m∠1 = 85
By the corresponding angle theorem, we can find that:
m∠2 = 2x
By the alternate interior angle theorem, we can find that:
m∠3 = x - 10
We also know that angles 1, 2, and 3 are the measures of the angles of a triangle. So:
85 + 2x + (x - 10) = 180
Lets solve for x. Combine like terms.
75 + 3x = 180
Subtract 75 from both sides.
3x = 105
Divide both sides by 3.
x = 35
So now we know that x + 35. Knowing this, we can find the measure of angle 3 by plugging 35 for x in x - 10
m∠3 = 35 - 10 = 25
So the measure of angle 3 is 25.
I hope this helps. Happy studying.
HELP PLEASE !
10 points !!
What is the slope of the function?
Answer:
the answer is -4 because the Y values are going down 4 at a time.
Find the value of x. The diagram is not to scale.
Someone help please!!
Answer:
angle T = 114
Step-by-step explanation:
SRT = STR
angle R = angle T
angle R = 33°
so angle R and angle T = 33°
all angles on a triangle = 180°
so
angle R + angle S + angle T = 180°
and angle R and S = 33° so subtitute...
33 + 33 + T = 180
then solve:
66 + T = 180
-66 -66
T = 114
mathy way:
SRT = STR Given
SRT = 33 Given
33 = STR Substitution Property of Equality
STR = 33
R + S + T = 180° Deffinition of triangle
33 + 33 + T = 180 Substitution Property of Equality
66 + T = 180 Addition
T = 114 Subtraction Property of Equality
what is another name for <2
Answer:
two, like: both, pair, couple, same, twain, bifurcate, bigeminal, binal, twin, dual and double.
Step-by-step explanation:
State whether the given pair of sets are equal, equivalent, both, or neither. {0,9}; {8, 1)
Answer:
Equivalent
Step-by-step explanation:
A set is a well defined collection of objects.
Two sets are said to be equal if they have the same elements.
Two sets are said to be equivalent if they have the same number of elements.
Given sets are [tex]\{0,9\}\,,\,\{8,1\}[/tex]
These sets are not equal as both the sets have different elements.
Order of both the sets is 2 (number of elements in both sets is 2)
So,
these two sets are equivalent.
if 1/4 of a number is 7 what is the number
Answer:
28
Step-by-step explanation:
7*4
Jillian has been updating the design of a media streaming website. She wonders if users will spend more time on the site with the new design, so she designs a study. She starts with a random sample of 1,000 users and randomly assigns half of them to the old design and half of them to the new design. After a week, she notices that users with the new design spend significantly longer on the site than the users with the old design. Can we conclude that the new design caused users to spend more time on the site? Why? Choose 1 answer: A)Yes because the sample size was large, B) Yes, because the users were randomly assigned to treatment and control groups, C) Yes, because the users were randomly selected, D) Not necessarily, because the sample size was too small, E) Not necessarily, because this wasn’t an experiment.
Answer:
Yes, because the users were randomly assigned to treatment and control groups
Step-by-step explanation:
Random assignment to treatment and control groups makes this study an experiment, so we can make causal conclusions.
Answer:
C: Yes, because the users were randomly selected
Step-by-step explanation:
Got it right on USATP.
Hope this helps!
From: Aug1e
What is the slope of a line that is perpendicular to the line y =-1/5
Answer:
The slope-intercept form is y=mx+b y = m x + b , where m m is the slope and b b is the y-intercept. Using the slope-intercept form, the slope is 0 0 . All lines that are parallel to y=−15 y = - 1 5 have the same slope of 0 .
The value of y is directly proportional to value of x.if y =35 when x=140 what is the value of y when x = 70
Answer:
Y= 17.5
Step-by-step explanation:
140 divided by 2 would equal 70 which could used on y as well meaning 35 divided by 2 would be 17.5 thus giving us the answer 17.5
The function f(x) = 4x – 0.1x2 is used to model the curve of a bridge over a small river, where x is the distance from one side of the river and the x-axis represents the ground. The mathematical range for the function is the set of real numbers. Which statement describes the limitation for the reasonable range compared to the mathematical range? The limitation for the reasonable range restricts it to positive real numbers. The limitation for the reasonable range restricts it to positive whole numbers. The limitation for the reasonable range restricts it to real numbers greater than or equal to 0 and less than or equal to 40. The limitation for the reasonable range restricts it to whole numbers greater than or equal to 0 and less than or equal to 40.
Answer:
x ∈ R ( 0 , + ∞ )
Step-by-step explanation:
In the function:
F(x) = 4*x -0,1*x²
The domain of F(x) is all the set of real numbers
R ∈ ( -∞ , +∞ )
values for F(x), can be found from negative and positive values of x
for instance for:
x = -2 F(x) = 4*(-2) - 0,1 * (-2)² F(x) = - 8,4
x = 2 F(x) = 4*(2) - 0,1 * (2)² F(x) = 7,6
But distance x could not be negative ( there is not negative distance in the real world), therefore the reasonable range restricts values of x only to positive values.
Then x can be any number x ≥ 0 ( distance could be 0 )
Answer:
C) The limitation for the reasonable range restricts it to real numbers greater than or equal to 0 and less than or equal to 40.
Step-by-step explanation:
its right on edg
Help me plssss I'm confused
Answer:
The first graph .. I am most likely right.
Step-by-step explanation:
Hope i helped.
Please help me on this problem
Answer:
the y intercept is 3 and the x intercept is 6
Step-by-step explanation:
Mai works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax will a customer pay on both?
Answer:$94.50
Step-by-step explanation:5% of 50 is 2.5 and 5% of 40 is 2 so the math you would do is 50+40+2.5+2 which equals $94.50.
Liam has this spinner.
red
green
blue
yellow
red
green
blue
red
Liam will spin the pointer one time.
What is the probability that the pointer will land on red?
ASAP! Help I’ll mark you brainly
Answer:
y=0.13x^2+13.68x+750
this the function rule
Step-by-step explanation:
brainliest
Answer:
im the other
make sure u give it to tfue_the_god
Step-by-step explanation:
Travis has won 9 snowboarding competitions.
He wants to display his trophies on a shelf.
How many different ways could he arrange
the trophies on the shelf?
A. 9
B. 72
C. 81
D. 362,880
Need help i will mark you brainliest
A Department of Transportation report about air travel found that, nationwide, 78% of all flights are on time. Suppose a random sample of 50 flights is selected from all nationwide flights that were completed in the past 30 days (over 1000 flights). Let the random variable X be defined as the number of sampled flights that arrived on time.
What is the value of the n parameter of the binomial random variable X?
Group of answer choices
50
78
39
30
1000
Answer:
The value of parameter n of binomial random variable is 50.
Step-by-step explanation:
The value of n parameter is 50 because it is the size of sample of flights. In binomial experiment the process is repeated fixed n number of times and here in the given scenario random sample of 50 flights is the n which is fixed throughout the process.
Elowen pays a total of $22.50 for every six shirts
she has dry-cleaned.
You have two chances to draw from a normal pack of 52 playing cards. What is the probability of drawing an ace on the second attempt if the first card (which you did NOT put back in the pack) was not an ace
Answer:
The probability is [tex]P(k) =0.07843[/tex]
Step-by-step explanation:
From the question we are told that
The total number of cards is n = 52
Generally the number of ace in a standard deck of cards is k = 4
Generally the the first card drawn is not an ace so the remaining number of ace after the first card is drawn is k = 4
also the remaining total number of cards after the first card is drawn is
N = n- 1
=> N = 52 - 1
=> N = 51
Generally the probability of drawing an ace on the second attempt if the first card (which you did NOT put back in the pack) was not an ace is mathematically represented as
[tex]P(k) =\frac{k}{N}[/tex]
=> [tex]P(k) =\frac{4}{51}[/tex]
=> [tex]P(k) =0.07843[/tex]
have this done correctly for brainliest
Austin has $12 in his piggy bank and deposits 75 cents each week. Daniel has has $15 and deposits 50 cents each week
Answer:
whats the question?
Step-by-step explanation:
Convert the following decimal numbers to BCD and add them. Convert the result back to decimal to check your answer
(a) 8
(b) 43
(c) 12 + 16
(d) 47 +38
(e) 36 +22
(f) 80 + 23 + 72
(g) 12 +89
(h) 99
Answer and Step-by-step explanation:
Solution:
(a) 8 + 3
Convert into BCD:
8 = 1000
3 = 0011
Add them:
8 + 3 = 11
1000 + 0011 = 1011
Answer is correct.
(b) 43 + 72
Convert into BCD:
43 = 0100 0011
72 = 0111 0010
Add them:
43 + 72 = 115
0100 0011 + 0111 0010 = 0001 0001 0101
(c) 12 + 16
Convert into BCD:
12 = 0001 0010
16 =0001 0110
Add them:
12 + 16 = 28
0001 0010 + 0001 0110 = 0010 1000
00101000 = 00101000
Hence Answer is correct.
(d) 47 + 38
Convert into BCD:
47 = 0100 0111
38 =0011 1000
Add them:
47 + 38 = 85
0100 0111 + 0011 1000= 1000 0101
(e) 36 + 22
Convert into BCD:
36=0011 0110
22=0010 0010
Add them:
36 + 22 = 85
0011 0110 + 0010 0010 = 1000 0101
(f) 80 + 23 + 72
Convert into BCD:
80 =1000 0000
23 = 0010 0011
72 = 0111 0010
Add them:
80 + 23 + 72 =175
1000 0000 +0010 0011+ 0111 0010 = 0001 0111 0101
(g) 12 + 89
Convert them into BCD:
12 = 0001 0010
89 = 1000 1001
Add them:
12 + 89 = 101
0001 0010 + 1000 1001 = 0001 0000 0001
(h) 99
Convert into BCD:
99 = 1001 1001
A research center is interested in investigating the height and age of children who are between 5 to 9 years old. In order to do this, a sample of 15 children is selected and the data are given below. Age (in years) Height (inches) 7 47.3 8 48.8 5 41.3 8 50.4 8 51 7 47.1 7 46.9 7 48 9 51.2 8 51.2 5 40.3 8 48.9 6 45.2 5 41.9 8 49.6 How much of the variation in the sample values of height does the model estimate
Answer:
0.940
Step-by-step explanation:
Given the data:
Age in years(X) _____Height(Y)
7 _________ 47.3
8 _________48.8
5 __________41.3
8 _________ 50.4
8 ___________51
7 __________47.1
7 __________46.9
7 ___________48
9 __________51.2
8 __________51.2
5 __________40.3
8 __________48.9
6 __________45.2
5 __________41.9
8 __________49.6
The proportion of Variation explained by the line of best fit in a regression model can be determined by calculating the Coefficient of determination (R²) of the model.
Using the online R² calculator, the variation in the sample values of height which is estimated by the model is 0.9696² = 0.94012416.
Hence about 0.94 or 94% variation in sample values of height is estimated by the model while (1 - 0.94 = 0.06 or 6%) is explained by other factors.
The distance from a point to two is five units. The point could be located at
-7
-6
6
-3
NEXT QUESTION
O ASK FOR HELP
Answer:
The correct answer is -3
Step-by-step explanation:
attached is a number line to show diagrammatically how to count five units from the chosen point to point 2 on a number line.
Moving five units from -3 to 2 on a number line is given as follows:
-3 ⇒ -2 ⇒ -1 ⇒ 0 ⇒ 1 ⇒ 2
From the motion expression shown above, moving from -3 to 2 involves moving 5 units.
another way of determining the correct answer is to find the difference in interval between the two points as shown below:
Let the point be x
2 - x = 5 units
2 - 5 = x
∴ x = -3
Answer:
-3
Step-by-step explanation:
it was on quiz baby
A line with a positive slope is perpendicular to one of the lines shown. What is its slope? Use the graph
shown below.
The slope is
Answer:
¾
Step-by-step explanation:
The line that slants upward from left to right is a positive slope, while the line that slants downwards from left to right is a negative slope.
Therefore, the blue line would have a positive slope. Since the blue line with a positive slope is perpendicular to the red line with a negative slope, therefore, the slope of the line with a positive slope that we are looking for and that is perpendicular to one of the lines (red line) would be the same with the slope of the blue line.
The slope of the blue line is calculated as shown below:
Use the coordinates of these two points on the blue line to find the slope, (0, 1) and (4, 4)
[tex] slope(m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 1}{4 - 0} [/tex]
[tex] slope(m) = \frac{3}{4} [/tex]
The slope of the line we are looking for is ¾.
Answer:
3/4
Step-by-step explanation:
Help I will award brainliest help asap! Uwu: If a man can run p miles in x minutes, how long will it take him to run q miles at the same rate?
Answer:
Speed= Dist/time= p/x miles per minute
Time to run q miles=q divided by p/x= qx/p minutes
Step-by-step explanation:
Then find MN.
LM = 5
MN = x - 4
LN = 2x– 11
equation:
MN =
Answer:
[tex]MN = 8[/tex]
Step-by-step explanation:
Given
[tex]LM = 5\\MN = x - 4\\LN = 2x - 11[/tex]
Required
Determine MN
MN is calculated as thus:
[tex]LN = LM + MN[/tex]
Make MN the subject
[tex]MN = LN - LM[/tex]
Substitute values for MN, LN and LM
[tex]x - 4 = 2x - 11 - 5[/tex]
[tex]x - 4 = 2x - 16[/tex]
Collect Like Terms
[tex]x - 2x = -16 +4[/tex]
[tex]-x = -12[/tex]
[tex]x= 12[/tex]
Substitute 12 for x [tex]MN = x - 4[/tex]
[tex]MN = 12 - 4[/tex]
[tex]MN = 8[/tex]
The Empire State Building weights about 7.3 x 10 ^8
Answer:
730000000 lbs?
Step-by-step explanation:
Answer:
730000000
Step-by-step explanation:
7.3 x 10^8
Do exponents first. 10^ 8 is the same as 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10, which equals 100000000 x 7.3 = 730000000