Solution :
a). Given :
a = [tex]$0.1$[/tex],
chisquare with the [tex]$0.05$[/tex],
[tex]$df=11$[/tex] is [tex]$4.57$[/tex] (from the chisquare table)
Chisquare with the [tex]$0.95$[/tex], df = [tex]$11$[/tex] is [tex]$19.68$[/tex] (from chisquare table)
So 90% Cl is
[tex]$\left(\frac{v(n-1)\times s}{v19.68}, \frac{v(n-1)\times s}{v4.57}\right)$[/tex]
[tex]$=\frac{\sqrt{11}\times 147.928}{\sqrt{19.68}},\frac{\sqrt{11}\times 147.928}{\sqrt{4.57}}$[/tex]
[tex]$=(110.5947,229.5031)$[/tex]
b). Given :
a = [tex]$0.05$[/tex]
Chisquare with [tex]$0.025$[/tex]
df = [tex]$n-1=11$[/tex] is A, [tex]$3.82$[/tex]
Chisquare with [tex]$0.975$[/tex], df = 11 is [tex]$21.92$[/tex]
So, 95% Cl is
[tex]$\left(\frac{v(n-1)\times s}{v21.92}, \frac{v(n-1)\times s}{v3.82}\right)$[/tex]
[tex]$=\frac{\sqrt{11}\times 147.928}{\sqrt{21.92}},\frac{\sqrt{11}\times 147.928}{\sqrt{3.82}}$[/tex]
[tex]$=(104.7916,251.0239)$[/tex]
c). Given a = [tex]$0.01$[/tex], chisquare with [tex]$0.005$[/tex], df = [tex]$11$[/tex] is [tex]$2.6$[/tex]
Chisquare with [tex]$0.995$[/tex], df = [tex]$11$[/tex] is [tex]$26.76$[/tex]
So 99% CI is
[tex]$\left(\frac{v(n-1)\times s}{v26.76}, \frac{v(n-1)\times s}{v2.6}\right)$[/tex]
[tex]$=\frac{\sqrt{11}\times 147.928}{\sqrt{26.76}},\frac{\sqrt{11}\times 147.928}{\sqrt{2.6}}$[/tex]
[tex]$=(94.84265,304.2706)$[/tex]
A car uses 8 gallons of gasoline to travel 192 miles. How many gallons are used to go 144 miles? *
Answer:
6 gallons
Step-by-step explanation:
You can find this using the ration method.
If, 8 gallons : 192 miles
x gallons : 144 miles
We must find the value of x, which is the number of gallons used to travel 144 miles.
Cross multiply the ratios.
192 x = 8 × 144
192 x = 1152
x = 1152 ÷ 192
x = 6
∴ It takes 6 gallons to travel 144 miles.
HELP PLZ................
In AMNO, m = 720 cm, n = 160 cm and o=870 cm. Find the measure of 20 to the
nearest degree.
The measure of angle O from the triangle MNO is 156.92°.
What is cosine rule?In trigonometry, the law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.
The formula for the cosine rule is c=√(a²+b²-2ab cosC)
Given that, in triangle MNO, m = 720 cm, n = 160 cm and o=870 cm.
Now, 870=√(720²+160²-2×720×160 cosO)
870²=720²+160²-2×720×160 cosO
756900=544000-230400 cosO
212900=-230400 cosO
cosO= -212900/230400
cosO= -0.92
∠O=156.92°
Therefore, the measure of angle O from the triangle MNO is 156.92°.
Learn more about the cosine rule here:
https://brainly.com/question/26952873.
#SPJ1
Answer:
158
Step-by-step explanation:
The teams are trying to defend their goal and scoring in the opponent's goal even if their opponent's score is higher than them.what values is shown in this situation
Answer:
However, if the initial receiving team only scores a field goal, the game is not automatically over and the other team is given an opportunity .
sana makatulong
Step-by-step explanation:
Solve using the quadratic formula: Y = 2x^2 - 7x-3
Answer:
x=-0.39 x=3.89
Step-by-step explanation:
a=2
b=-7
c=-3
when you plug all of those numbers in you would get
(7±[tex]\sqrt{73}[/tex] )/ (4)
so x=-0.39 x=3.89 would be your answer
Find the solutions of the quadratic equation –9x2 + 49 = 0.
Answer:
x=49/18
Step-by-step explanation:
In a study of incentives used by companies to retain mature workers by The Conference Board, it was reported that 41% use flexible work arrangements. Suppose that of those companies that do not use flexible work arrangements, 30% give time off for volunteerism. In addition, suppose that of those companies that use flexible work arrangements, 50% give time off for volunteerism. If a company is randomly selected, determine the following probabilities:
a. The company uses flexible work arrangements or gives time off for volunteerism.
b. The company uses flexible work arrangements and does not give time off for volunteerism.
c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.
d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.
e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.
Answer:
a) 0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.
b) 0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
c) 0.3317 = 33.17% probability that the company uses flexible work arrangements.
d) 0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.
e) 0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
a. The company uses flexible work arrangements or gives time off for volunteerism.
41% use flexible work arrangements.
Of the 100-41 = 59% that do not use flexible work arrangments, 30% give time off for volunteerism. So
[tex]p = 0.41 + 0.59*0.3 = 0.587[/tex]
0.587 = 58.7% probability that the company uses flexible work arrangements or gives time off for volunteerism.
b. The company uses flexible work arrangements and does not give time off for volunteerism.
41% use flexible work arrangements. Of those, 100 - 50 = 50% do not give time off for volunteerism. So
[tex]p = 0.41*0.5 = 0.205[/tex]
0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
c. Given that the company does not give time off for volunteerism, the company uses flexible work arrangements.
Here, we use conditional probability.
Event A: Does not give time off for volunteerism
Event B: Uses flexible work arrangments.
0.205 = 20.5% probability that the company uses flexible work arrangements and does not give time off for volunteerism.
This means that [tex]P(A \cap B) = 0.205[/tex]
Probability that the company does not give time off for volunteerism:
0.205(uses flexible work arrangments).
100 - 30 = 70% of 59%. So
[tex]P(A) = 0.205 + 0.7*0.59 = 0.618[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.205}{0.618} = 0.3317[/tex]
0.3317 = 33.17% probability that the company uses flexible work arrangements.
d. The company does not use flexible work arrangements given that the company does give time off for volunteerism.
Again conditional probability.
Event A: Gives time off for volunteerism
Event B: Does not use flexible work arrangements.
Probability of giving time off for volunteerism:
50% of 41%(have flexible work arrangements).
30% of 59%(don't have flexible work arrangements).
So
[tex]P(A) = 0.5*0.41 + 0.3*0.59 = 0.382[/tex]
Gives time off for volunteerism and does not use flexible work arrangements.
30% of 59%. So
[tex]P(A \cap B) = 0.3*0.59 = 0.177[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.177}{0.382} = 0.4634[/tex]
0.4634 = 46.34% probability that the company does not use flexible work arrangements given that the company does give time off for volunteerism.
e. The company does not use flexible work arrangements or the company does not give time off for volunteerism.
Does not use flexible work arrangments: 59%
Dont give time off for volunteerism(70% already in the 59%, so we dont add) and 50% of 41%.
[tex]p = 0.59 + 0.5*0.41 = 0.795[/tex]
0.795 = 79.5% probability that the company does not use flexible work arrangements or the company does not give time off for volunteerism.
By what fraction equal to 1 should 2/3 be multiplied to form 8/11 ?
The area (in square inches) of a rectangle is given by the polynomial function A(x) = x² + 10x + 24. If the width of the rectangle is (x + 6) inches, what is the length?
Answer:
x + 4
Step-by-step explanation:
We can see this because x² + 10x + 24 is divisible by x + 6, giving us the quotient of x + 4.
We can demonstrate that by simply multiplying the two binomials:
(x + 4)(x + 6)
= x² + 6x + 4x + 24
= x² + 10x + 24
Answer:
x+4
Step-by-step explanation:
My Pool party has 3839 girls and 2638 boys. How many People Altogether?
Answer:
6477
Step-by-step explanation:
wow, u got a big party there
Answer:
dangggg but 6477
Step-by-step explanation:
Katherine has 32 pop songs and 72 rock songs on her mp3 player that she will be organizing into playlists. She wants to put an equal number of pop songs and an equal number of rock songs into each playlist. Each song will go into only one playlist.
Use the drop-down menus to complete the statements below about the number of playlists Katherine can make.
The greatest number of playlists Katherine can make is
__. Each of these playlists will have __
pop songs and __
rock songs.
use the distributive property to write the following expressions in expanded form 8(a+3b)
Answer:
8a + 24b
Step-by-step explanation:
'distributive' is just like sharing across
Answer:
8a + 20b + 4b
Step-by-step explanation:
Distributing it would be 8a+24b so expanding it would equal: 8a+20b+4b
5. Find the vertex and y-intercept of the quadratic function.
y = 3x2 - 12x + 40
The vertex of the function is (2, 28) and the y-intercept of the function is (0, 40)
What are quadratic equations?Quadratic equations are second-order polynomial equations and they have the form y = ax^2 + bx + c or y = a(x - h)^2 + k
How to determine the vertex?The equation of the function is given as
y = 3x^2 - 12x + 40
Differentiate the function
So, we have
y' = 6x - 12
Set the function to 0
So, we have
6x - 12 = 0
This gives
6x = 12
Divide by 6
x = 2
Substitute x = 2 in y = 3x^2 - 12x + 40
y = 3 x 2^2 - 12 x 2 + 40
Evaluate
y = 28
This means that the vertex of the function is (2, 28)
Substitute 0 for x to determine the y-intercept
y = 3 x 0^2 - 12 x 0 + 40
Evaluate
y = 40
This means that the y-intercept of the function is (0, 40)
Read more about quadratic equation at
https://brainly.com/question/1214333
#SPJ1
Cory wants to build a model of a 12 meter tall ship. He will be using a scale of 1.5 centimeters = 3.5 meters. How tall will the model be? Round your answer to the nearest tenth.
Answer:
5.1 cm
Step-by-step explanation:
12/3.5= 24/7
24/7 x 1.5= 36/7
= 5.1 cm
Bryan withdrew $60 from his bank account. If this is 15% of the money he had in his account, how much money was in his account before the withdrawal?
Answer:
Bryan had 400$ in his bank account before he withdraw
Step-by-step explanation:
60$ ---- 15%(set what you have)
x$ ------100%(set what you need)
(x$ x 15%) 15x =(60$ x 100%)6000( cris cross the sides)(the signs dont matter )
x=400
Why is the product of a rational number and an irrational number irrational? because the product is always a non-terminating, non-repeating decimal because the product is always a fraction because the product is always a negative number because the product is always a repeating or a terminating decimal
Answer:
Because the product is always a non-terminating, non-repeating decimal.
The product of a rational number and an irrational number will always be an irrational number. Then the correct option is A.
What is a rational number?If the value of a numerical expression is terminating then they are the rational number then they are called the rational number and if the value of a numerical expression is non-terminating then they are called an irrational number.
The product of a rational number and an irrational number will always be an irrational number.
Because the product is always a non-terminating, non-repeating decimal number.
Then the correct option is A.
More about the rational number link is given below.
https://brainly.com/question/9466779
#SPJ2
- Jared rides his bicycle 6 miles in 3/5 of an hour. At this rate, how many miles
could he ride in 3 hours?
Answer:
30 miles
Step-by-step explanation:
3 hours = 180 minutes
3/5 of an hour = 36 minutes
180/36 = 5
5 times 6 = 30
I hope this helps :)
Find the values of x and y. Write your answer in simplest form.
Answer:
x=30°
y=30°
Step-by-step explanation:
x= 180-150=30°
y)
180=30 + 90 + z
z +120 = 180
z= 60
90-60=y
y=30
30°
URGENT !!!!! CAN ANY ONE GIVE 30 POINTS
Answer:
there an app called wolfram that you can use because I don't know how to do that
The factors of 16-y² are
Answer:
(4 + y)(4 - y)
Step-by-step explanation:
[tex]16 - {y}^{2} \\ \\ = {4}^{2} - {y}^{2} \\ \\ = (4 + y)(4 - y)[/tex]
Solve and write and answer in interval nation.
5n - 13 < 4n - 10
Answer:
(-∞, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsInterval Notation - [Brackets] mean inclusion, (Parenthesis) means exclusionStep-by-step explanation:
Step 1: Define
5n - 13 < 4n - 10
Step 2: Solve for n
[Subtraction Property of Equality] Subtract 4n on both sides: n - 13 < -10[Addition Property of Equality] Add 13 on both sides: n < 3Here we see that any value n smaller than 3 would work as a solution to the inequality.
∴ our interval is (-∞, 3)
The formula of triangles
Answer:
area of triangle = 1/2 ×base×height
Helllp meeee this assignment is missing and I realy need to do it ASAP
.............
Answer:
1,000, 50, 1
Step-by-step explanation:
to hard to explane
hola tengo una pregunta
Answer:
que pregunta? yo te la respondo
Step-by-step explanation:
You are taking a trip at the same time as another
family. Your family traveled 1.900 miles in 2 days,
their family traveled 2.700 miles in 3 days. Who is
traveling fastera
Angles that are exactly 90°. What shape has all right angles ? a) a b) c)
Dwayne uses 2 quarts of milk in 1 week,
What is the total number of cups in 2 quarts?
A- 16
B- 12
C- 8
D- 4
Answer:
4 x 2 = 8
_____________________________________
Ben randomly selects five students from his class, and collects data on the number of hours of sleep they got the previous night. From these data, he computes a 95% confidence interval as 6.42 + 2. What may he conclude from this interval?
Answer:
can you help me to How do wetlands form?
Tributaries flow into rivers.
Runoff travels down the side of a divide.
Water builds up in a depression left by an ice sheet.
Groundwater comes to the surface and floods the land.
Step-by-step explanation:
a) List the differences between Linear and Exponential Functions.
Answer:
What is the difference between linear and exponential functions? Linear functions change at a constant rate per unit interval. An exponential function changes by a common ratio over equal intervals.
Help please, stuck on this one!
Answer:
AFCE = 30
P+Q = 11
Step-by-step explanation:
From the picture, you can see the figure can be decomposed into two identical large triangles with area 20, and 4 identical longer ones, that have to cover the remaining area 40, thus 10 each.
From that you can count the area.
Second puzzle is just trial and error.