Answers
Answer:
x = 72 degrees
Step-by-step explanation:
add the given angles: 77+31 = 108
subtract your answer from 180: 180 - 108 = 72
Answer:
72
Step-by-step explanation:
add 77+33=108
all triangles equal 180, so subtract 180-108=72
Related Questions
30. While making a dessert, Jane used
9/10 of a scoop of brown sugar as well
as 1/2 of a scoop of white sugar. How
much more brown sugar did Jane use?
Answers
Answer:
Jane used 2/5 of a scoop more of brown sugar than she did with white sugar.
Step-by-step explanation:
If you want to find how much more something is from something else, you subtract. So, subtract 9/10-1/2. If you want to subtract, they should both have the same denominator. So, 9/10-1/2 is the same as 9/10-5/10. 9/10-5/10 is equal to 4/10 which is simplified to 2/5.
Consider the following game, played with three standard six-sided dice. If the player ends with all three dice showing the same number, she wins. The player starts by rolling all three dice. After this first roll, the player can select any one, two, or all of the three dice and re-roll them. After this second roll, the player can again select any of the three dice and re-roll them one final time. For the following questions, assume that the player used the following optimal strategy: if all three dice match, the player stops and winds; if two dice match, the player re-rolls the die that does not match; and if no dice match, the player re-rolls them all.
Requied:
a. Find the probability that all three dice show the same number on the first roll.
b. Find the probability that exactly two of the three dice show the same number after the first roll.
c. Find the probability that the player wins, conditioned on exactly two of the three dice showing the same number after the first roll.
Answers
Answer:
a
[tex]P(A) = \frac{1}{36}[/tex]
b
[tex]P(B) = \frac{15}{36}[/tex]
c
[tex]P(U) = \frac{11}{36}[/tex]
Step-by-step explanation:
From the question we are told that
The number of dice is [tex]n = 3[/tex]
Generally for all three dice to show the same number the second and the third dice must have the same outcome as the outcome of the first dice.
This means that the number of outcome the first die can have is 6 (6 sides), the number of outcome which the second and the third dice can have is 1 (they must match the first )
So the probability that all three dice show the same number on the first roll is mathematically represented as
[tex]P(A) = \frac{6}{6} * \frac{1}{6} * \frac{1}{6}[/tex]
=> [tex]P(A) = \frac{1}{36}[/tex]
Generally for two of the three dice show the same number after the first roll then the number of outcome for one of the dice would be is 6 , the number of outcome for another one must be 1(i.e it must match the first ) , the number of outcome for the remaining one must be 5 (i.e it can show any of the remaining 5 sides which the first and second dice are not showing )
Now the number of ways of selecting this 2 dice that show the same number from the 3 dice is mathematically represented as
[tex]N = ^3C_2[/tex]
Here C stands for combination
So
[tex]N = ^3C_2 = 6[/tex]
So the probability that exactly two of the three dice show the same number after the first roll is mathematically represented as
[tex]P(B) = N \frac{1}{6} * \frac{5}{6}[/tex]
=> [tex]P(B) = \frac{15}{36}[/tex]
Generally from the question we are told that if two dice match, the player re-rolls the die that does not match.
Now the probability that the die that did not match the first time will match the second time is
[tex]P(E ) = \frac{1}{6}[/tex]
Generally if that one die does not show the same number in the second round , the probability that it will match in the third round is
[tex]P(R) = \frac{5}{6} * \frac{1}{6} [/tex]
Generally the probability that he wins (i.e when all three are showing the same number ) and exactly two is showing the same number is mathematically represented as
[tex]P(K) = P(E)* P(B) + P(R)* P(B)[/tex]
=> [tex]P(K) = \frac{1}{6} * \frac{15}{36} + \frac{5}{6} * \frac{1}{6} * \frac{15}{36}[/tex]
=> [tex]P(K)= \frac{165}{1296}[/tex]
So the probability that the player wins, conditioned on exactly two of the three dice showing the same number after the first roll is mathematically represented as
[tex]P(U) = \frac{\frac{165}{1296}}{\frac{15}{36} }[/tex]
=> [tex]P(U) = \frac{11}{36}[/tex]
The Sweet Smell Fertilizer Company markets bags of manure labeled "not less than 60 lb dry weight." The packaged manure is a combination of compost and sewage wastes. To provide good-quality fertilizer, each bag should contain at least 30 lb of compost but no more than 40 lb of sewage. Each pound of compost costs Sweet Smell 5¢ and each pound of sewage costs 4¢. Use the Linear Programming method to determine the least-cost blend of compost and sewage in each bag.
Answers
Answer and Step-by-step explanation:
Let
Compost lb per bag = x1 = 30
Compost cost per lb = 0.05
Sewage lb per bag = x2 = 40
Sewage cost per lb = 0.04
Minimize cost = 0.5 x1 + 0.4 x2
Constraints:
Bags of manure labeled “not less than 60 lb dry weight”
X1 + x2 ≥ 60
X1 ≥ 30
X2 ≥ 40
At x1 = 30 and x2 = 40
C = 0.05(30) + .04(40)
= 1.5+ 1.6
=$3.1
At x1= 60 and x2 = 0
C= 0.05(60) + 0.04(0)
= 3 + 0
=$3.00
At x1 = 30 and x2= 30
C = 0.05(30) + 0.04(30)
= 1.5 + 1.2
=$2.7
The postal service sorts mail as Priority Mail Express, Priority Mail, First-Class Mail, or Standard Mail. Over a period of 3 weeks, 18 of each type were mailed from the Network Distribution Center in Atlanta, Georgia, to Des Moines, Iowa. The total delivery time in days was recorded. Minitab was used to perform the ANOVA. The results follow:
Source DF SS MS F P
Factor 3 1.83 0.61 2.77 0.048
Error 68 15.28 0.22
Total 71 17.11
Level N Mean StDev
Priority Mail Express 18 2.873 0.477
Priority Mail 18 3.040 0.574
First-Class Mail 18 3.273 0.462
Standard Mail 18 3.228 0.360
Using the ANOVA results, compare the average delivery times of the four different types of mail.
Identify the null hypothesis and the alternate hypothesis.
Null hypothesis:
A) H0: μ1 ≠ μ2 ≠ μ3 ≠ μ4
B) H0: μ1 = μ2 = μ3 = μ4
A) or B)
Alternate hypothesis:
A) H1: At least one mean is different.
B) H1: All means are equal.
A) or B)
What is the decision rule? Use the 0.05 significance level. (Round your answer to 2 decimal places.)
Reject H0 if F>
Use the 0.05 significance level to test if this evidence suggests a difference in the means for the different types of mail.
H0 is (rejected/not rejected)
Answers
Answer:
Null hypothesis:
B) H0: μ1 = μ2 = μ3 = μ4
Alternate hypothesis:
A) H1: At least one mean is different.
Reject H0 if F>2.74
H0 is rejected
Step-by-step explanation:
Null hypothesis always contain equality so, null hypothesis would be
B) H0: μ1 = μ2 = μ3 = μ4.
Alternate hypothesis doesn't contain equality so, alternate hypothesis would be
A) H1: At least one mean is different.
Decision rule will be "reject null hypothesis if calculated F is greater than critical value of F".
Critical value of F is F0.05(3,68)=2.74.
So, decision rule will be Reject H0 if F>2.74.
As, calculated F 2.77 is greater than 2.74 so, we reject our null hypothesis and conclude that there is sufficient evidence to suggests a difference in the means for the different types of mail at 5% level of significance.
The slope (????) of the beam is given by:
θ(x) = dy/dx
Required:
Use a forward divided difference and a step size of h=0.3 to approximate the slope of the beam at x = 1. Calculated the true percent relative error.
Answers
Answer:
Step-by-step explanation:
From the given question:
The slope is expressed as;
[tex]\thteta (x) = \dfrac{dy}{dx} - - (1)[/tex]
[tex]\thteta (x) = \dfrac{dy}{dx}\left \{ {{\dfrac{y(x+b)-y(x)}{h} \ \ \to approximate} \atop {\dfrac{1}{100}}(-4+4x-3x^2+2x^3) \ \to \ exact } \right.[/tex]
∴
[tex]\theta (x) _{approximate} = \dfrac{y(1+0.3)-y(1)}{0.3}[/tex]
[tex]\theta (x) _{approximate} = \dfrac{y(1.3)-y(1)}{0.3}[/tex]
[tex]\theta (x) _{approximate} = -2.965 \times 10^{-5}[/tex]
[tex]\theta(x)_{exact} = \dfrac{1}{100}(-4+4-3+2)[/tex]
[tex]\theta(x)_{exact} = -0.01[/tex]
Finally, the true percent relative error TPRE is:
[tex]TPRE= \dfrac{ | \theta(x)_{approximate} -\theta (x)_{exact} }{\theta (x)_{exact} }\times 100\%[/tex]
[tex]TPRE= \dfrac{ 2.965 \times 10^5 --0.01}{-0.01}\times 100\%[/tex]
TPRE = 70..35%
4. Mel had $35.00 and withdrew 200$ from his bank account. He bought a pair of pants for
$34.00 and 2 shirts for $16.00 each. Give the final formula and determine how much money
Mel had at the end of the shopping day.
Can you answer
Answers
Answer:$185
Step-by-step explanation:
$35+$200=$235
$235-$34=$201
$201-$16=$185
Which is the correct form of the partial fraction decomposition for the expression 2x-5/x(x+4)?
it's b
Answers
thank you !!
step by step explanation:
Answer:
B
Step-by-step explanation:
What is the product of −25 and −0.8? Select all that apply.
Answers
Answer:
20
Step-by-step explanation:
comon sence
Answer:
0.32
Step-by-step explanation:
The measure of an angle is six more than twice the measure of its
complement. Find the measure of the larger angle.
The larger angle is:
Answers
Answer:
58
Step-by-step explanation:
Let the angle = x
Let the complement = 90 - x
2x = (90 - x) + 6
2x = 96 - x
3x = 96
x = 96/3
x = 32
============
The angle = 32
The complement = 90 - 32 = 58
- 4v-3 = -2v + 5
V =
Answers
Answer:
V= -4
Step-by-step explanation:
add 2v to the left and you get -2v-3=5
-2v-3=5 add 3 to the right and you get -2v=8
divide 8 by -2 and you get v= -4
Kevin asked his trainee, Anna, to help call some of his clients to sell a newly-issued municipal bond. If he had to call all of the clients himself, it would take Kevin six hours to complete the job. If Anna alone were to call the clients, it would take her nine hours. Working together, how long will it take Kevin and Anna to call all of the clients?
Answers
Answer:
3.6 hours
Step-by-step explanation:
To solve, create a Rate, Time, Work chart:
Work is rate times time. For Kevin, his work is going to equal x over 6 job. For Anna, her expression for work will equal x over 9 job.
The work is 1 job of calling all clients, so their combined work is equal to 1.
x over 6 plus x over 9 equals 1
In the rational equation, x is the amount of time it takes Kevin and Anna to call the clients together. With rational equations, the terms can be added together once they have common denominators.
x over 6 plus x over 9 equals 1
fraction numerator begin display style x left parenthesis 9 right parenthesis end style over denominator begin display style 6 left parenthesis 9 right parenthesis end style end fraction plus fraction numerator begin display style x left parenthesis 6 right parenthesis end style over denominator begin display style 9 left parenthesis 6 right parenthesis end style end fraction equals fraction numerator begin display style 1 left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end style over denominator left parenthesis 6 right parenthesis left parenthesis 9 right parenthesis end fraction
fraction numerator 9 x over denominator 54 end fraction plus fraction numerator 6 x over denominator 54 end fraction equals 54 over 54
9 x plus 6 x equals 54
15 x equals 54
x equals 3.6
If Kevin and Anna work together, they can call all the clients in 3.6 hours.
Which equation does not belong with the other three? O y= -5x - 1 O 2x - y = 8 O y = x +4 y = -3r + 13
Answers
Answer:
The equation y = -3r + 13 does not belong with the other three.
Step-by-step explanation:
We have 4 equations
y = -5x2x - y = 8y = x + 4y = -3r + 13The first 3 equations have relations between two variables x and y
So they are linear equations of two variables x and y
The fourth equation has a relation between two variables r and y
So it is a linear equation of two variables r and y
The fourth equation does not belong to with the first three equations because it has a different variable r
The equation y = -3r + 13 does not belong with the other three.
Name the degree of the polynomial: 12h^2 - h^12 + 22 - h^8
Answers
Answer:
12
Step-by-step explanation:
as its the highest degree
Monica regularly records her favorite television show. Each episode of the show requires .% of the total capacity of her video recorder. Her recorder currently has 2% of its total memory free. If Monica records all five episodes this week, how much space will be left on her video recorder?
Answers
Answer:
44.5%
Step-by-step explanation:
PLEASE HURRY!!!
a
Undefined
b
Negative
c
Zero
d
Positive
Answers
Answer:
undefined
Step-by-step explanation:
Since this is a vertical line, it has an undefined slope.
m = change in y/ change in x
But x does not change
m = change in y /0
We cannot divide by zero so the slope is undefined
Mr. Gaines is catering his company picnic. He will pay $18.45 for 3 people to eat the barbecue lunch. At this rate, how many people can Mr. Gaines afford to feed on a budget of $1850.00? (Sentence) *
1 point
Captionless Image
Answers
Price of lunch of each, P = $ 18.45/3 = $ 6.15 .
Now, number of people that can eat the barbecue at a budget of $1850.00 is:
[tex]n=\dfrac{1850}{6.15}\\\\n=300.81[/tex]
Therefore, Mr. Gaines afford maximum 300 people to feed on a budget of $1850.00 .
Hence, this is the required solution.
Angel’s partner, Lisa, owns the remaining portion of the bakery. Write a simplified ratio to represent Angel’s ownership to Lisa’s ownership in the bakery.
Answers
Answer:
5:3
Step-by-step explanation:
Which number is divisible by 2,9 and 10
(a) 45
(b) 60
(c) 90
(d) 150
Answers
Answer: c
Step-by-step explanation: we know that odd numbers can’t be divided by 2 so take a out, then we see that 90 is the only one because 90/2=30, 90/9=10, and 90/10=9
Answer:
Yes, the answer is C. 90..
Two less than seven times a number is the same as ten times the same number increased by 1. What is the
number?
Answers
Answer:
x = -1
Step-by-step explanation:
first, create a formula or expression:
7x - 2 = 10x + 1
now, move the 10x, subtract it on the other side
-3x - 2 = 1
add 2
-3x = 3
divide by -3
x = -1
you can substitute it in to check
holly says 4.131131113... is a rational number . which following best describes whether holly correct and why
Answers
Answer:
its d holly is incorrect the decimal part follows a pattern but does not actully reapeat
Step-by-step explanation:
Can someone tell me if I got question 15 correct for angles geometry
Answers
Answer:
yup it and is correct and is 15
Joel is training for soccer season. On Monday, Joel exercises for 20 minutes before school, and 25%, percent of that time is spent playing soccer.
On Monday, Joel exercises for 60 minutes after school, and 40%, percent of that time is spent playing soccer. What is the total amount of time, in minutes, that Joel plays soccer on Monday?
Answers
Answer:46
Step-by-step explanation:
X and Y are supplementary angles. One angle measures 3 times the measure of the
other angle what is the measure of the smaller angle?
Answers
Answer:
Step-by-step explanation:
x + y = 180
3x = y
x + 3x = 180
4x = 180
x = 45
3*45 = y
y = 135
The two angles are
45
135
Jamal goes to a fast food restaurant and orders some tacos and burritos. He sees on the nutrition
menu that tacos are 200 calories and burritos are 370 calories. If he ordered 6 items and consumed
a total of 1880 calories, how many tacos and how many burritos did Jamal order and eat?
Answers
Answer:
4 burritos and 2 tacos
Step-by-step explanation:
burritos 370 x 4 = 1480
tacos 200 x 2 = 400
1480 + 400 = 1880 :)
Answer:
Therefore, if c represents the the number of calories in a taco, then the number of calories in a burrito can be represented as 6c.
Step-by-step explanation:
A taco has the calories of a burrito. This statement can be translated directly to the equation below.
Substitute c into the equation to represent the calories in a taco.
Divide both sides by .
{1}/{6}
Therefore, if c represents the the number of calories in a taco, then the number of calories in a burrito can be represented as 6c.
6th grade math help me plzz
Answers
Answer:
-3 -1/3, -2.4,0.2,9.5
Step-by-step explanation:
-2.4,-3:1/3,9.5,0.2
= -2.4,-2.67,0.2,9.5
=-2.67,-2.4,0.2,9.5#
please i need it asp
I thought of a number, multiplied it by 2 1/2 , divided the result by 1 1/5 , subtracted 7/18 from it, and got 1 5/6 . What was my number?
6 points
please
Answers
Answer:
pass the code
Step-by-step explanation:
Which Is the Best estimare of The área of The figure in square centimeters (as shown down) l need It in 5min
Answers
Answer:
38.28cm²
Step-by-step explanation:
The area of the figure can be determined by expression the figure as two shapes.
A semicircle and trapezium;
Area of shape = Area of semicircle + Area of trapezium
Now;
Area of semicircle = [tex]\frac{\pi r^{2} }{2}[/tex]
Where r is the radius, which is [tex]\frac{4}{2}[/tex] = 2cm;
Area of semicircle = [tex]\frac{3.142 x 2^{2} }{2}[/tex] = 6.28cm²
Area of trapezium;
= [tex]\frac{1}{2} (a + b)h[/tex]
a and b are the base length = 6cm and 10cm
h is the height = 4cm
Input the parameters and solve;
= [tex]\frac{1}{2} (6 + 10) 4[/tex]
= 32cm²
The area of the shape = 6.28cm² + 32cm² = 38.28cm²
I Desperately need help
Answers
Answer:
hi
Step-by-step explanation:
The average retirement age for a certain country was reported to be years according to an international group dedicated to promoting trade and economic growth. With the pension system operating with a deficit, a bill was introduced by the government during the summer to raise the minimum retirement age from 60 to 62. Suppose a survey of retiring citizens is taken to investigate whether the new bill has raised the average age at which people actually retire. Assume the standard deviation of the retirement age is years. Using , answer parts a through c below.a. Explain how Type I and Type II errors can occur in this hypothesis test. A Type I error can occur when the researcher concludes the average retirement age ? did not increase, increased, but the average retirement age ? increased. did not increase. A Type II error can occur when the researcher concludes that the average retirement age ? did not increase, increased, ?when, in? fact, the average retirement age ? did not increase. increased.b. Calculate the probability of a Type II error occurring if the actual population age is 57.4 years old. The probability of committing a Type II error is _______ . ?(Round to three decimal places as? needed.)c. Calculate the probability of a Type II error occurring if the actual population age is 58.9 years old. The probability of committing a Type II error is _______ . ?(Round to three decimal places as? needed.)
Answers
The missing figures in the question can be seen below.
The average retirement age = 56.1 years ...
The number of a survey of retired citizen = 49
The standard deviation of the retirement age is 6 years.
Using alpha ∝ = 0.02
Answer:
Step-by-step explanation:
From the given options in the first question in the given information.
Type I error can take place when the researcher concludes the average retirement age increased, but the average retirement age did not increase.
A Type II error can take place when the researcher concludes that the average retirement age did not increase, but the average retirement age increased.
Recall that:
population mean = 56.1
sample size = 49
standard deviation = 6
At the level of significance of 0.02, using the Excel function (=Normsinv(0.02))
The critical value for z = 2.054
Standard error = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]
=[tex]\dfrac{6}{\sqrt{49}}[/tex]
= 6/7
= 0.857
The rejection region [tex]\overline X[/tex] = [tex]\mu +Z_{\alpha/0.02}*\sigma_x[/tex]
[tex]\overline X[/tex] = [tex]56.1+2.05374891*0.857[/tex]
[tex]\overline X[/tex] = 57.86
P(Type II error) is as follows:
[tex]P(\overline X < 57.86| \mu = 57.4) = P( Z< \dfrac{\overline X - \mu }{\sigma_x})[/tex]
[tex]= P( Z< \dfrac{57.86-57.4}{0.857})[/tex]
[tex]= P( Z< 0.537)[/tex]
From z tables;
P (Type II error) = 0.704
P(Type II error) is as follows:
[tex]P(\overline X < 57.86| \mu = 58.9) = P( Z< \dfrac{\overline X - \mu }{\sigma_x})[/tex]
[tex]= P( Z< \dfrac{57.86-58.9}{0.857})[/tex]
[tex]= P( Z<-1.214)[/tex]
From z tables;
P (Type II error) = 0.1124
why do we call rational numbers "rational numbers"?
Answers
Answer:
It is because it comes from the word 'ratio'. A rational number is usually known as the ratio of two integers, that's how it got its name. :)