In the figure below, angles PQS and
TQR are congruent. Angle SQT is 15° larger
than angle PQS.
What is the measure of angle SQT?
Answe70
Step-by-step explanation:
The measure of the angle SQT will be 70°. The correct option is B.
What is geometry?One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.
Given that In the figure below, angles PQS and TQR are congruent. Angle SQT is 15° larger than angle PQS.
The measure of the angle SQT is,
2∠PQS + ∠SQT = 180
2∠PQS + ∠PQS + 15 = 180
3∠PQS = 165
∠PQS = 55°
The measure of the angle ∠SQT is,
∠SQT = 55 + 15
∠SQT = 70
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Forma de distribución del resultado obtenido por los componentes de una sociedad tomando en cuenta dos factores que intervienen, el capital y el tiempo
a) reparto proporcional
b) regla de compañía
c) prorrateo
Suppose that the length of research papers is uniformly distributed from 12 to 25 pages. We survey a class in which 55 research papers were turned in to a professor. The 55 research papers are considered a random collection of all papers. We are interested in the average length of the research papers.
A.) Give the distribution of X. (round your standard deviation to two decimal places. X
∼ N (18.5, _____)
B.) Give the distribution of SumX. Round your standard deviation to two decimal places. SumX
∼ (1017.5, _____).
C). Calculate the probability that the professor will need to read a total of more than 1080 pages. _____
Answer:
A.) X ~ N(18.5, 3.75)
B.) SumX ~ N(1017.5,27.8).
C.) 0.0122 = 1.22% probability that the professor will need to read a total of more than 1080 pages.
Step-by-step explanation:
Uniform distribution:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b.
The mean is given by:
[tex]M = \frac{a+b}{2}[/tex]
The standard deviation is given by:
[tex]S = \sqrt{\frac{(b-a)^2}{12}}[/tex]
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
The uniform distribution can be approximated to the normal, using its mean and its standard deviation.
Sum of n terms of a normally distributed variable:
The mean of the sum will be:
[tex]\mu_{s} = n\mu[/tex]
The standard deviation of the sum will be:
[tex]\sigma_{s} = \sqrt{n}\sigma[/tex]
Suppose that the length of research papers is uniformly distributed from 12 to 25 pages.
This means that [tex]a = 12, b = 25[/tex]
We survey a class in which 55 research papers were turned in to a professor.
This means that [tex]n = 55[/tex]
A.) Give the distribution of X.
The mean has already been given, and the standard deviation is:
[tex]S = \sqrt{\frac{(25-12)^2}{12}} = 3.75[/tex]
So
X ~ N(18.5, 3.75)
B.) Give the distribution of SumX.
Sum of 55 papers, the standard deviation will be of:
[tex]\sigma_{s} = \sqrt{55}*3.75 = 27.8[/tex]
So
SumX ~ N(1017.5,27.8).
C). Calculate the probability that the professor will need to read a total of more than 1080 pages
This is 1 subtracted by the pvalue of Z when X = 1080. So
[tex]Z = \frac{X - \mu_{s}}{\sigma_{s}}[/tex]
[tex]Z = \frac{1080 - 1017.5}{27.8}[/tex]
[tex]Z = 2.25[/tex]
[tex]Z = 2.25[/tex] has a pvalue of 0.9878
1 - 0.9878 = 0.0122
0.0122 = 1.22% probability that the professor will need to read a total of more than 1080 pages.
Which answer is an equation in point-slope form for the given point and slope?
Point (1, 9), Slope: 5
(A) y - 9 = 5(x + 1)
(B) y+9 -5(x - 1)
(C) y-9=5(x - 1)
(D) y-1-5(x +9)
Answer:
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀,y₀):
y-y₀ = m(x-x₀)
In your case, m=5 and (x₀,y₀)=(1,9):
y-9 = 5(x-1)
The residual for Raisin Bran is 8.556. How many grams of sugar does Raisin Bran actually have per cup
Answer:
Note: The full question is attached as picture below
a. Slope of 0.536 means that when there is an increase in carbohydrate content, there will be sn increase in 0.536 grams of sugar content.
b. Coefficient of Determination, R^(2) = 0.544^(2) = 0.295936 = 0.296. Percent of variation = 29.6
c. For carbohydrate content of 29 grams,
Predicted amount of sugar per cup for Raisin Bran = -5.10 + 0.536*29 = 10.444 gram
d. Residual value= Actual value - Predicted value
8.556 = Actual sugar content - 10.444
Actual sugar content = 8.556 +10.444
Actual sugar content = 19
So, the Raisin Bran actually have 19 grams of sugar per cup.
differentiate with respect to x the following functions y=6x²-4x+17
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the derivatives.
Hence, here
y = 6x^2 -4x +17
so, dy/dx = d(6x^2-4x+17)/dx
===> hence, dy/dx = 12x -4 ( used formula d(x^n) /dx = nx^n-1 )
======> dy/dx = 12x-4
Help please!!!!!!!!
If you need to put tile on your kitchen floor, do you need to know the perimeter or the area of the kitchen?
Answer:
area
Step-by-step explanation:
Answer:
area
Step-by-step explanation:
is every relation a function?
I don't know what's the ten but anyway, "Roberta bought 9/10 pound of raisins. She put 2/5 pound in bags for her lunch. How many 2/5-pound bags can Roberta fill? Does she have any left over?" what is the other answer?
Answer:
She can put fill 2 “2/5 pound bags” and will have 1/5 pounds of raisins remaining.
Step-by-step explanation:
First we change the 2/5 into common denominators by multiplying by 2 and we go from 2/5–>4/10. Now that we have this we can see how many times 4 goes into 9 which is 2 so we know that she can fill 2 “2/5 pound bags.” But 4/10x2=8/10 and since we have 9/10 pounds of raisins we subtract 8/10 from 9/10 to get a difference of 1/10. So we have 1/10 pounds of raisins remaining and she can fill 2 full bags of “2/5 pound bags.”
The NCAA basketball tournament begins with 64 teams, and after each round, half the teams are eliminated. The number of remaining teams t n) is an exponential function of the number n of rounds already played . Write the exponential function that represent the number of players after n rounds . How many players will be there after 4 rounds?
Answer:
64 (1/2) n
ssssssssssssssssssssssssssssssssssssssssssssss
who knows the answer to this????
Help please!!!!!!!!!!
Answer:
25
Step-by-step explanation:
because 25 times 2 is 50 and 25 times 3 is 75
hope I helped!!! ;)
What are two fractions equivalent to 2/8?
Hm, any two? 1/4 and 4/16 are equal to 2/8.
Hope this helps.
Which of the following circles has the greatest circumference? Use 3.14 for the pi.
A circle with radius 4 meters
A circle with diameter 7 meters
A circle with circumference 24 meters
A circle with circumference 5 pi
Answer:
24 m
Step-by-step explanation:
it is 24metre ok......
The greatest circumference is 25.12 meters.
What is a circle?A circle is a two-dimensional figure with a radius and circumference of 2πr.
The area of a circle is πr².
We have,
A circle with a radius of 4 meters.
Circumference.
= 2πr
= 2 x 3.14 x 4
= 25.12 meters
A circle with a diameter of 7 meters
Radius = 7/2 meters
Circumference.
= 2πr
= 2 x 3.14 x 7/2
= 21.98 meters.
A circle with a circumference of 24 meters
Circumference = 24 meters
A circle with a circumference of 5 pi
Circumference = 5π
= 5 x 3.14
= 15.7 meters
Thus,
The greatest circumference is 25.12 meters.
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(giving brainiest)
tell how you solved the question
Answer:
Step-by-step explanation:
4000
5.
In rhombus QRST diagonals RT and QS are drawn. If m
then which of the following is the measure of
a 76
b 90
C 38
d 48
HELP ME PLEASE !!! thank you
Answer:
<STR = 38degrees
Step-by-step explanation:
Find the diagram attached
Complete Question:
In Rhombus QRST, diagonals RT and QS are drawn. If m<TSR = 104°, then which of the following is the measure of <SRT?
Sicne triangle STR is isosceles, hence the base angles are equal. Let the base angles be y
y+y+104 = 180
2y = 180-104
2y = 76
y = 38degrees
Since <STR = y, hence the measure of <STR = 38degrees
A group of five friends went out to lunch. The total bill for the lunch was $53.75. Their meals all cost about the same, so they wanted to split the bill evenly. Without considering tip, how much should each friend pay? *
Answer:
$10.75
Step-by-step explanation:
$53.75 / 5 = $10.75
Answer:
$10.75
Step-by-step explanation:
$53.75 ÷ 5 = $10.75
This is showing the total split amongst the five people. $10.75 is the price that each friend will pay if the bill is split evenly
Sounds off topic but I'm feeling sad today, my teacher gave me a project and springboard for homework and I'm crying rn because of how much stress and pressure for me none of my family help me because they don't understand English I wish for positive things love you all <3
Answer:
man i get that- but just try and keep your head up!! you got this!!
Step-by-step explanation:
have cute picture of a cat!!
Things are only hard if you make them, so simply tackle it like the hulk in avengers: age of Ultron! Besides, with as bright of a head as you have on your shoulders, it should be a piece of cake! Also while doing the project, try listening to music. That way, it makes the time pass by and before you know it, your in the teachers room with that A+ project. Anyway, I wish you the best of luck and hope you have a wonderful day! :)
Make x the subject of the formula a = b x + c
Answer:
[tex] x = \frac{a - c}{b}[/tex]
Step-by-step explanation:
[tex]a = bx + c \\ \\ a - c = bx \\ \\ \orange{ \bold{x = \frac{a - c}{b}}} [/tex]
The width of a rectangle is 2 less than twice its length. If the area of the rectangle is 110
cm
2
, what is the length of the diagonal?
Answer:
Use the formula of areal*b*h
An experiment consists of tossing a die and then flipping a coin once if the number on the die is even. If the number on the die is odd, the coin is flipped twice. Using the notation 4HH, for example, to denote the outcome that the die comes up 4 and then the coin comes up heads, and 3HTHT to denote the outcome that the die comes up 3 followed by a head and then a tail on the coin, construct a tree diagram to show the 18 elements of the sample space SS.
For the sample space SS
(a) list the elements corresponding to the event AA that a number less than 3 occurs on the die;
(b) list the elements corresponding to the event BB that two tails occur;
(c) list the elements corresponding to the event A′A ′;
(d) list the elements corresponding to the event A′∩BA ′ ∩B;
(e) list the elements corresponding to the event A∪BA∪B.
Answer:
Kindly check attached picture for sample space.
Step-by-step explanation:
Sample space, S
S = {1HH, 1HT, 1TT, 1TH, 2H, 2T, 3HH, 3HT, 3TT, 3TH, 4H, 4T, 5HH, 5HT, 5TH, 5TT, 6H, 6T}
The tree diagram for all 18 elements in the sample space can be found in the picture attached below :
a.)
Event A ; number on die < 3
A = {1HH, 1HT, 1TT, 1TH, 2H, 2T}
b.)
Event B ; 2 tails occur :
B = {1TT, 3TT, 5TT}
QUESTIONS B, C and E are not well formatted
What is the perimeter of the rectangle given below?
what is 4(d+6c)
please help me
Answer:
23d
Step-by-step explanation:
Answer:
4d +24c
Step-by-step explanation:
How to convert 12/25 to a decimal number.
Step-by-step explanation:
0.48 is the decimal form of 12/25
Answer:
0.48
Step-by-step explanation:
First you have to...
make the denominator to 100
25×4=100
multiply the numerator with that same number
12×4=48
So, it becomes...
48/100
And now you can convert it to a decimal number...
48/100= 0.48
Hope it helps you!!!
Find the values of x and y in the diagram.
Answer:
x = 3
y = 10
Step-by-step explanation:
In triangle KLN, measure of all angles are equal.
Therefore, it is an equilateral triangle.
All sides of an equilateral triangle are equal.
So,
y - 4 = 6
y = 6 + 4
y = 10
In triangle LMN, measures of angles M and N are equal, Therefore,
LM = LN
x + 3 = y - 4
x + 3 = 10 - 4
x + 3 = 6
x = 6 - 3
x = 3
seven more than twice a number is -4
Answer:
-5.5
Step-by-step explanation:
[tex]2x+7=-4\\2x=-4-7\\2x=-11\\x=-5.5[/tex]
Answer:
-11/2
Step-by-step explanation:
Let the number be a
(2a)+7= -4
2a= -4-7
2a= -11
a= -11/2
Suppose you had $6.00 to buy bananas and apples. Bananas cost $0.49 per pound and apples cost $0.34 per pound. Write a linear equation that represents the different amounts of fruit you could buy.
Answer:
ok
Step-by-step explanation:
ok ok ok ok ok ok ok ok
3b +2f = 21.50 What is the Answer for B and F
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
b=7.1¯6−2f/3
Isolate the variable by dividing each side by factors that don't contain the variable.
f=10.75−3b/2
Step-by-step explanation:
please help me please i really need help please
Answer:
I think it would be all of the above
Step-by-step explanation:
:)))