Answer:
180°
Step-by-step explanation:
A whole circle is 360°, therefor an straight line is half of that, so 360/2=180.
Can you plz help right answer plz
Answer:
4.8 inches
Step-by-step explanation:
Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data: 1 1 2 3 0 1 3 2 0 5 3 3 1 3 2 4 7 0 2 3 0 4 2 1 3 1 1 3 4 1 2 3 2 2 8 4 5 1 3 1 5 0 2 3 2 1 0 6 4 2 1 6 0 3 3 3 7 1 2 2a) Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch. (Enter relative frequencies to three decimal places.)x Frequency Relati veFrequency01245678(b) What proportion of batches in the sample have at most six nonconforming transducers? (Enter your answer to three decimal places.)What proportion have fewer than six? (Enter your answer to three decimal places.)What proportion have at least six nonconforming units? (Enter your answer to three decimal places.)
Answer:
(a) See attachment for table
(b) [tex]Atmost\ 6 = 21.667\%[/tex]
(c) [tex]Less\ than\ 6 = 21.667\%[/tex]
(d) [tex]At\ least\ 6 = 78.333\%[/tex]
Step-by-step explanation:
Given
The data (in the question)
Solving (a): Frequency and Relative frequencies of each data
The range of the data is 0 to 8. So the frequency of each is the number of times each of 0 - 8 occurs.
This is tabulated below:
[tex]\begin{array}{ccc}x & {Frequency} & {Relative\ Frequency} & {0} & {7} & {11.667\%} &{1}& {13} & {21.667\%} & {2} & {13} & {21.667\%} & {3} & {14} &{23.333\%} & {4} & {5} & {8.333\%} & {5} &{3} &{5.000\%} &{6} &{2} & {3.333\%} & {7} & {2} & {3.333\%} & {8} & {1} & {1.667\%} \ \end{array}[/tex]
[tex]Total\ \ \ 60[/tex]
The relative frequency is calculated as:
[tex]Relative\ Frequency = \frac{Frequency}{Total\ Frequency} * 100\%[/tex]
For instance: When x = 0:
[tex]Relative\ Frequency = \frac{7}{60} * 100\%[/tex]
[tex]Relative\ Frequency = \frac{700}{60} * \%[/tex]
[tex]Relative\ Frequency = 11.667 \%[/tex]
Solving (b): Proportion that have at most 6.
Here, we consider frequencies of 0 to 6.
This is represented as thus:
[tex]\begin{array}{ccc}x & {Frequency} & {Relative\ Frequency} & {4} & {5} & {8.333\%} & {5} &{3} &{5.000\%} &{6} &{2} & {3.333\%} & {7} & {2} & {3.333\%} & {8} & {1} & {1.667\%} \ \end{array}[/tex]
Add up the relative frequencies to get the proportion
[tex]Atmost\ 6 = 8.333\% + 5.000\% + 3.333\% + 3.333\% + 1.667\%[/tex]
[tex]Atmost\ 6 = 21.667\%[/tex]
Solving (c): Proportion that have at fewer than 6.
Here, we consider frequencies of 0 to 5.
This is represented as thus:
[tex]\begin{array}{ccc}x & {Frequency} & {Relative\ Frequency} & {4} & {5} & {8.333\%} & {5} &{3} &{5.000\%} &{6} &{2} & {3.333\%} & {7} & {2} & {3.333\%} & {8} & {1} & {1.667\%} \ \end{array}[/tex]
Add up the relative frequencies to get the proportion
[tex]Less\ than\ 6 = 8.333\% + 5.000\% + 3.333\% + 3.333\% + 1.667\%[/tex]
[tex]Less\ than\ 6 = 21.667\%[/tex]
Solving (d): Proportion that have at least 6.
Here, we make use of the complement rule:
[tex]At\ least\ 6 = 100\% - Less\ than\ 6[/tex]
[tex]At\ least\ 6 = 100\% - 21.667\%[/tex]
[tex]At\ least\ 6 = 78.333\%[/tex]
2. Which expression is equivalent to (9n - 7) - (6n + 5)?
A. 3n - 2
B. 3n - 12
C. 13n - 2
D. 13n - 10
Another friend's distance d from you (in feet) after t seconds is given by
d = |80 - 5t|. What does the 80 in the equation represent? What does the 5 in the equation represent? At what times is she 60 ft from you?
Andera worked 11 hour and 25 minutes last week at her job after school. How many minutes did she work?
Answer:
685
Step-by-step explanation:
11 hours = 660 minutes
660 + 25
By selling a chair for Rs 1680, a trader loses 20% . Find the cost price of the chair.
Rs 1200
Rs 1600
Rs 2100
Rs 1800
Answer:
Rs 2100
Step-by-step explanation:
SP= 1680
loss percent = 20%
CP= (SP * 100 ) / ( 100 – percentage loss )
168000 / 80
= 2100
I hope im right!!!
There is an ice cream cake in the freezer. On Monday, the family eats 1/2 of
the cake. On Wednesday, they eat 1/4 of the cake. How much did the family
eat altogether?
Answer: 2/4
Step-by-step explanation: Easy 2 + 2 = 4
decide which of the following sets of points.
Answer:
Im pretty sure that the answer would be choice f.
Step-by-step explanation:
(a) {T, P, E}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
(b) {A, B, D, M}: Coplanar. These points lie on the same plane since they are contained within the drawing.
(c) {B, K, C}: Collinear. These points lie on the same line within the drawing.
(d) {A, K, E}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
(e) {M, K, T}: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
(f) {A, Q, P, D}: Coplanar. These points lie on the same plane since they are contained within the drawing.
EM, P, B: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
EM, P, B: Neither. These points are not collinear because they do not lie on the same line, and they are not coplanar because they are not contained within the same plane.
To know more about "Coplanar." here
https://brainly.com/question/24430176
#SPJ2
말 8.) A baker is ordering eggs for the week. How many cartons of 6 eggs would a baker need to have 225 eggs all together? Explain the reasoning for your answer. (4 pts.)
Answer:
38
Step-by-step explanation:
We know that each carton contains 6 eggs and we need a total of 225. To find this answer, divide 225 by 6, which is 37.5. We would have to round up one because you cannot buy half of a carton. So the answer is 38 cartons.
OMG HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEE
Which choices are correct when determining the distance between −56 and 44?
A) The distance is 12 units.
B) The distance is 100 units.
C) distance = |−56 + 44|
D) distance = |−56 − 44|
E) distance = −|−56 + 44|
The correct way of determining the distance between −56 and 44 is distance = |−56 − 44|
What is distance?Distance is referring to the numerical measurement of how far an object is from a particular place.
Given that, what is correct way to determine the distance between -56 and 44,
So, the distance will be = |-56-44|
= |-100|
= 100
Hence the correct way of determining the distance between −56 and 44 is distance = |−56 − 44|
Learn more about distance, click;
https://brainly.com/question/15172156
#SPJ3
What is the base in the given problem? The 20% of 35 boys in the class which is 7, wear eyeglasses.
Answer:
the base of the given problem is 7
Step-by-step explanation:
The computation of the base in the given problem is shown below:
Given that
20% of 35 boys in the class wear eyeclasses
So if we solve this
The value would be
= 20% of 35 boys
= 20% × 35
= 7
Hence, the base of the given problem is 7
The same would be considered
Please help me (Trig) and show your work in the answer
Answer:
30.24 mStep-by-step explanation:
Find the length of one of the braces b, use sine:
sin 55° = 6.2 / bb = 6.2 / sin 55° b = 7.56 mTotal length:
7.56*4 = 30.24 mfind the ratio of 20 : 50
Answer:
20:50
20/50=40%
Convert the fraction 5/8 to decimal using long division method
Find the
area of each
triangle.
9 m
5 m
8m
Answer:
22.5 [tex]m^{2}[/tex]
Explanation:
The equation for the area of a triangle is [tex]\frac{1}{2}[/tex]bh
In this case, the base is 9 m and the height is 5 m
9x5=45
45/2= 22.5
Quadrilateral A'B'C'D'is the result of rotating quadrilateral ABCD by 60° about the origin.
Choose all answers that apply
a. BC and B'C' are both parallel to the y-axis
b. <B and <B' have the same measures
c. D and D' have the same coordinates
d. none of the above
Answer:
a. No
b. Yes
c. No
Step-by-step explanation:
a. For BC and B'C to both be parallel to the y-axis when BC is parallel to the y-axis the figure must be rotated by a multiple of 180 degrees.
b. When you rotate a figure none of the angles in the figure change.
c. For D and D' to have the same coordinates the figure must be rotated by 360.
need help on question 22 and 23 , ill give extra points
Garland put 2b + 3 dollars in the bank in the first week. The following week he doubled the first week’s savings and put that amount in the bank. The next week he doubled what was in the bank and put that amount in the bank. If he now has $477 in the bank, how much did he put in the bank the first week
Answer:
1st week deposit= 2b+3
2nd week deposit=2(2b+3)
3rd week deposit=4(2b+3)
Total deposit=2b+3+2(2b+3)+6(2b+3)
=9(2b+3)
=18b+27
18b+27=477
18b. =477-27=450
18b. =450
;
b=450/18=25
Therefore 2b+3=2(25)+3 =50+3=53
PLEASE GIVE BRAINLIEST
A university will add fruit juice vending machines to its classroom buildings if the student body president is convinced that more than 20 percent of the students will use them. A random sample of n students will be selected and asked whether or not they would use the vending machines. A large-sample test for proportions at the significance level of α = 0.05 will be performed. The null hypothesis that the proportion of all students who would use the vending machines is 20 percent will be tested against the alternative that more than 20 percent of all students would use them. For which of the following situations would the power of the test be highest?
A
The sample size is n = 750, and 20 percent of all students use the vending machines.
B
The sample size is n = 750, and 25 percent of all students use the vending machines.
C
The sample size is n = 1,000, and 25 percent of all students use the vending machines.
D
The sample size is n = 500, and 50 percent of all students use the vending machines.
E
The sample size is n = 1,000, and 50 percent of all students use the vending machines.
Answer:
E) The sample size is n = 1,000, and 50 percent of all students use the vending machines.
Step-by-step explanation:
CollegeBoard
For the following situations the power of the test be highest is, The sample size is n = 1000, and 55 percent of all students actually use the vending machines. So Option C is correct
What are the factors that affects the hypothesis test ?The power of the hypothesis test depends on three factors.
1. Sample size (n). Other things being equal, the greater the sample size, the greater the power of the test.
2. Significance level (α) : which is constant in this question.
(3) The "true" value of the parameter being tested. The greater the difference between the "true" value of a parameter and the value specified in the null hypothesis, the greater the power of the test.
Given that,
A random sample of n students will be selected
A large-sample test for proportions at the significance level of α = 0.05
The null hypothesis that the proportion of all students who would use the vending machines is 20%
Power of test would be highest,
For the largest sample size
Option C, has largest sample size
difference = true value - value specified in null hypothesis
= 55 - 20
= 35
both the conditions are satisfied for being a highest power of the test
To know more about Hypothesis test check:
https://brainly.com/question/17099835
#SPJ6
About 25% of the students at a college are freshmen. Of those, about 50% are women. Does that mean that 75% of the students at the college are freshmen women? Explain
If the spinner is spun one time, what is the probability of the arrow NOT landing on a section labeled with an even number?
The two rectanglesare similar. Which is a correct proportion between correspoding sides? I need help
Answer:
c. 12/4 = l/8
please follow me
Stefan sells Jin a bicycle for 135 and a helmet and a helmet for 19 the total cost for Jin is 140% of Stefan spent originally to buy the bike and helmet how much did Stefan spend originally how much money did he make by selling the bicycle and helmet to Jin
Answer:
Originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.
Step-by-step explanation:
Given that Stefan sells Jin a bicycle for $ 135 and a helmet for $ 19, and the total cost for Jin is 140% of what Stefan spent originally to buy the bike and helmet, to determine how much did Stefan spend originally and how much money did he make by selling the bicycle and helmet to Jin, the following calculation must be performed:
100 + 140 = 240
140 = 135 + 19
100 = X
(100 x (135 + 19)) / 140 = X
100 x 154/140 = X
15,400 / 140 = X
110 = X
So originally Stefan spent $ 110, and made $ 30 selling the bike and helmet to Jin.
A density graph for all of the possible times from 50 seconds to 300 seconds
can be used to find which of the following?
A. The probability of a time from 75 seconds to 350 seconds
B. The probability of a time from 25 seconds to 250 seconds
C. The probability of a time from 150 seconds to 350 seconds
D. The probability of a time from 75 seconds to 250 seconds
Answer: D. took quiz :)
Step-by-step explanation:
Answer: d. the probability of a time from 75 seconds to 250 seconds
Step-by-step explanation:
Sharmila had 5/6 portion of the cake. She gave 2/6 portion of the whole cake to
her brother, then how much cake will remain with her?
Answer: [tex]\dfrac{3}{6}[/tex]
Step-by-step explanation:
Given
Sharmila has [tex]\frac{5}{6}[/tex] portion of cake
she gave [tex]\frac{2}{6}[/tex] portion to her brother
The remaining cake is given by
[tex]\Rightarrow \dfrac{5}{6}-\dfrac{2}{6}=\dfrac{5-2}{6}\\\\\Rightarrow \dfrac{3}{6}[/tex]
i.e. [tex]\frac{3}{6}[/tex] portion of cake will remain with her
Write the equation of the line that passes through the points (2,5) and (3, 10)
Answer:
y = 5x-5
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 10-5)/(3-2)
= 5/1
=5
Using slope intercept form
y = mx+b
y = 5x+b
Substituting a point into the equation
5 = 5*2+b
5 = 10+b
Solving for b
5-10 = b
-5 =b
y = 5x-5
What is the vertex of y=−2x2−4x−5
?
Question 1 options:
(−1,−3)
(−2,−3)
(1,−1)
(−1, 3)
Answer:
2x2-4x-5=0..........
Simplify -12x + 5x - x show work plz
Answer: -8x
Step-by-step explanation:
First, we need to take our given numbers
-12x+5x-x
Now let's start with the start of the equation
-12x + 5x = -7x
Now we take -7x and -x
-7x - x = -8x
HEY I NEED HELP PLEASE
Find the missing side of the triangle
Answer:
195^2 + 28^2 = x^2
38025 + 784 = x^2
38809 = x^2
square root both sides
x = 197