Answer: A. 0.4899 B. 14
Step-by-step explanation:
If X = random variable
then, the standard deviation of the sampling distribution of X = [tex]\dfrac{\sigma}{\sqrt{n}}[/tex]
A.
GIven: [tex]\sigma= 1.2, \n= 6[/tex]
The standard deviation of the sampling distribution of X = [tex]\dfrac{1.2}{\sqrt{6}}=0.4899[/tex]
B. Let n be the sample size,
[tex]0.325=\dfrac{1.2}{\sqrt{n}}\\\\\Rightarrow\ \sqrt{n}=\dfrac{1.2}{0.325}\\\\\Rightarrow\ \sqrt{n}=3.69230769231\\\\\Rightarrow\ n= (3.69230769231)^2=13.6331360947\approx 14[/tex]
Hence, the required sample size = 14
The two lines y = 4x+5 and y = 4x – 2 are parallel because their slopes are equal (both equal to 4). What
happens when you try to algebraically solve for their intersection point?
Answer:
When solving, you will get a false statement, and therefore there is no solution.
Step-by-step explanation:
Let's try to solve the system of equations. In this case, I used the substitution method and substituted 4x + 5 for the y in y = 4x-2:
[tex]4x + 5 = 4x - 2\\5 = -2[/tex]
In trying to combine the terms with the variable x, the 4x on both sides canceled themselves out, leaving me with 5 = -2. That is a false statement, as 5 does not equal -2. Therefore, since we cannot reach a solution, there is none.
two lines y = 4x+5 and y = 4x – 2 are parallel, then there is no intersection point.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
Given wo lines are y = 4x+5 and y = 4x – 2
These two lines are parallel because there slope is 4 for both.
Let us solve these two equations algebraically to find out intersection point.
4x+5=4x-2
5=-2
Since 4x is cancelled on both sides and has no x variable means there is no intersection point.
Hence for two lines y = 4x+5 and y = 4x – 2 are parallel, then there is no intersection point.
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Perform the following calculation using the appropriate significant figure rules. 29.5 x 0.0340 + 29.5 x 0.0340 = ?
Find the product using the appropriate algebraic identity:
(m^2 +5/7) (m - 2/5)
Answer:
m^3 - 2m^2/5 + 5m/7 - 2/7
Step-by-step explanation:
Here, we want to expand the given expression
We have;
m^2(m-2/5) + 5/7(m-2/5)
= m^3 - 2m^2/5 + 5m/7 - 2/7
the length of a model ship is 8 in. its actual length is 100 ft. what is the scale of the model?
Answer:
= 2/25 2 in 25 ft
Step-by-step explanation:
*
0
1
3
4
1
2
3.
4
4
ER
ole
8
5 6
Table 1
9
1 4
Table 2
16
Identify the table that represents a linear function.
x
H
0
1
3
4.
x
1
2
3
4
f(x)
0
-1
0
2
18
32
f)
8
15
0 3
Table 4
Table 3
Answer:
• The closing of the frontier• The closing of the frontier
Step-by-step explanation:
• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier• The closing of the frontier
write the equation of the line that passes through the point (-5,5) and is parallel to the line y=-3x+3
Suppose that the relation T is defined as follows. T= {(5,5), (-7,4),(4,0), (1, - 4)} Give the domain and range of T. Write your answers using set notation.
Answer:
The domain of T is {5, -7, 4, 1} and the range is {5, -7, 4, 1}
Step-by-step explanation:
In the relation of a set of ordered pairs R = {(x, y)}
The domain of the relation is the set of values of xThe range of the relation is the set of values of y∵ The relation T is defined as follows, T= {(5, 5), (-7, 4),(4, 0), (1, -4)}
∵ The first number in each ordered pair represents x
∴ x = 5, -7, 4, 1
∴ The set of values of x = {5, -7, 4, 1}
∵ The domain of the relation is the set of values of x
∴ The domain of T = {5, -7, 4, 1}
∵ The second number in each ordered pair represents y
∴ y = 5, 4, 0, -4
∴ The set of values of y = {5, 4, 0, -4}
∵ The range of the relation is the set of values of y
∴ The range of T = {5, -7, 4, 1}
Select all of the following equations the number 30 will make true.
A. 270 ÷ □ = 9
B. 1,200 ÷ □ = 400
C. 9,000 ÷ □ = 300
D. 600 ÷ □ = 200
E. 330 ÷ □ = 110
PLZ SOMEONE help me btw this is for my lil aunt she really needs help plz help me so i can help her :(
A circle has a diameter of 3 meters. Which statement about the circumference and area is true?
A.) A comparison of the area and circumference is not possible since the area cannot be determined.
B.) The numerical value of the circumference and area are equal.
C.) The numerical value of the circumference is greater than the numerical value of the area.
D.) The numerical value of the circumference is less than the numerical value of the area.
Test is on edge 2020
Answer:
C
Step-by-step explanation:
circumference is pi times diameter
pi times 3 is 9.42
area is pi times radius squared
radius is 1.5
1.5^2 is 2.25
pi times 2.25 is 7.06
A farmer knows that a crop she is growing requires 24 kg of fertilizer throughout the season. She has a measuring flask which when filled twice makes 1 kg of fertilizer. At this rate, how many times does she need to fill the flask to make the required amount of fertilizer for the crop?
Answer:
48 times
Step-by-step explanation:
From the above question, we know that:
2 times = 1 kg of fertilizer
A crop requires 24 kg of fertilizer
Hence:
1 kg of fertilizer = 2 times
24 kg of fertilizer = x
Cross Multiply
x = 24 kg × 2 times/1 kg
x = 48 times
She need to fill the flask 48 times to make the required amount of fertilizer for the crop
Mason has 22 cookies. He eats 2 of his cookies. Then Mason gives an equal 1
number of cookies to 5 of his friends. How many cookies does each of
Mason's friends receive?
Your answer
Answer:
he starts with 22 eats 2
22-2=20
he can give each friend 4 cookies because 4*5 is 20
Please Graph
Y = -0.8x
Answer:
I added the graph
(-6x + 5) + (4x - 7)
linear expression
Answer:
-2(x+1)
Step-by-step explanation:
Solve for y.
10/9 =5y
Answer:
y = 2/9
Step-by-step explanation:
1. During the breakfast service, the D-Town Diner sells 12 cups of
coffee for every 10 glasses of orange juice. How many cups of coffee
would the diner have sold if 40 glasses of orange juice had been sold?
Complete the table with equivalent ratios.
The number of cups of coffee restaurant sold for 40 glasses of orange juice had been sold is 48.
What are proportions?The word "proportion" generally refers to an amount that is divided into parts or shares. Two ratios are in proportion when they are equal, as stated by the definition of proportion. An equation or a statement that says anything to that effect means that two ratios or fractions are equal.
Given that, the D-Town restaurant sold 12 cups of coffee for every 10 glasses of orange juice.
So, the ratio of cups of coffee to glasses of orange is 12:10
The restaurant have sold 40 glasses of orange juice.
Let c number of coffee cups are sold for 40 glasses of orange juice.
So, the ratio is c:40
Then, the proportion (ratios are equal) is 12:10::c:40
10c=480
c=48
Therefore, the number of cups of coffee restaurant have sold for 40 glasses of orange juice had been sold is 48.
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A stock has a beta of 1.30, the expected return on the market is 10 percent, and the risk-free rate is 4.6 percent. What must the expected return on this stock be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)
Answer:
11.62%
Step-by-step explanation:
Calculation for What must the expected return on this stock be
Using this formula
Expected return=Risk-free rate+(Expected market return -Risk-free rate)*Beta
Let plug in the formula
Expected return=4.6%+(10%-4.6%)*1.30
Expected return=4.6%+(5.4%*1.30)
Expected return=0.046+0.0702
Expected return=0.1162*100
Expected return=11.62%
Therefore What must the expected return on this stock is 11.62%
Find the area of rectangle ABCD.
20
10 √2+ √82
24
12
Answer:
12 units²
Step-by-step explanation:
AB = [tex]\sqrt{(x_{2} -x_{1})^2 +(y_{2} -y_{1})^2 }[/tex] = [tex]\sqrt{(0-3)^2 +(0-3)^2}[/tex] = 3√2
BC = [tex]\sqrt{(5-3)^2 +(1-3)^2}[/tex] = 2√2
[tex]A_{ABCD}[/tex] = AB × BC = 3√2 × 2√2 = 12 units²
Answer:
So I did the assignment, and the answer that you're looking for in this problem would be 12.
what is the measure of angle X?
•100 degrees
•130 degrees
•135 degrees
•150 degrees
picture added. y
Answer:
130°
Step-by-step explanation:
Angle 50° underneath is the same as the missing angle next to x.
In a straight line , angles add up 180°. So 180°-50° gives 130°
I hope this helped you out.
Please can I have brainliest, thank my answer and rate it 5. :)
Leaving work, Duncan drove at 30 mph for 20 minutes. Then he drove at 40 mph for 12 minutes to reach home. How far did he drive to get home?
So first, we're gonna split these into their own little sections.
If Duncan drove 30 mph for 20 minutes, we need to think about the time for now. One hour is 60 minutes, and 20 minutes is 1/3 of an hour. If it's 30 miles per hour, then we'd need to split that into thirds to give it the twenty minute value, so in twenty minutes he drove 10 miles.
For the second part, we're gonna do the same thing. 40 mph in twelve minutes. 60 divided by 12 is 5. Then split the 40 mph into fifths. 40 / 5 = 8. Every twelve minutes, he drove 8 miles.
Add 10 and 8, and he drove a total of 18 miles to get home.
What is the tenth term of the sequence described by the following f1 = -2, tn =3tn-1
Answer:
The 10th term will be:
t₁₀ = 39366
Step-by-step explanation:
Given the sequence
tₙ = -3 tₙ₋₁
Given
t₁ = -2
substitute n = 2, to determine the 2nd term
tₙ = -3 tₙ₋₁
t₂ = -3 tₙ₋₁
t₂ = -3 t₂₋₁
t₂ = -3 t₁
t₂ = -3 × -2 ∵ t₁ = -2
t₂ = 6
substitute n = 3, to determine the 3rd term
tₙ = -3 tₙ₋₁
t₃ = -3 t₃₋₁
t₃ = -3 t₂
t₃ = -3 × 6 ∵ t₂ = 6
t₃ = -18
substitute n = 4, to determine the 4th term
tₙ = -3 tₙ₋₁
t₄ = -3 t₄₋₁
t₄ = -3 t₃
t₄ = -3 × -18 ∵ t₃ = -18
t₄ = 54
substitute n = 5, to determine the 5th term
tₙ = -3 tₙ₋₁
t₅ = -3 t₅₋₁
t₅ = -3 t₄
t₅ = -3 × 54 ∵ t₄ = 54
t₅ = -162
substitute n = 6, to determine the 6th term
tₙ = -3 tₙ₋₁
t₆ = -3 t₆₋₁
t₆ = -3 t₅
t₆ = -3 × -162 ∵ t₅ = -162
t₆ = 486
substitute n = 7, to determine the 7th term
tₙ = -3 tₙ₋₁
t₇ = -3 t₇₋₁
t₇ = -3 t₆
t₇ = -3 × 486 ∵ t₆ = 486
t₇ = -1458
substitute n = 8, to determine the 8th term
tₙ = -3 tₙ₋₁
t₈ = -3 t₈₋₁
t₈ = -3 t₇
t₈ = -3 × -1458 ∵ t₇ = -1458
t₈ = 4374
substitute n = 9, to determine the 9th term
tₙ = -3 tₙ₋₁
t₉ = -3 t₉₋₁
t₉ = -3 t₈
t₉ = -3 × 4374 ∵ t₈ = 4374
t₉ = -13122
substitute n = 10, to determine the 10th term
tₙ = -3 tₙ₋₁
t₁₀ = -3 t₁₀₋₁
t₁₀ = -3 t₉
t₁₀ = -3 × -13122 ∵ t₉ = -13122
t₁₀ = 39366
Therefore, the 10th term will be:
t₁₀ = 39366
An airplane flies with a constant speed of 700 miles per hour. How far can it travel in 2 hours?
Answer:
1400
Step-by-step explanation:
700 x 2 is 1400
So just multiply 700 times 2 and there's your answer
Answer:
1400 miles
Step-by-step explanation:
1 hour------ 700 miles
2 hours---- X
X= 700 x 2
X= 1400
Please give me the correct answer
Answer:
We notice about these areas that:
All areas are perfect squares ⇒ 1st
The sum of the areas of the two smaller squares is equal to the area of the larger square ⇒ 3rd
Step-by-step explanation:
Let us solve the question
∵ The perfect square number is the product of a number and itself
∵ The areas of given squares are 25 m², 9 m², and 16 m²
∵ 25 = 5 × 5, 9 = 3 × 3, 16 = 4 × 4
∴ 25, 9, and 16 are perfect squares
∴ All areas are perfect squares
∵ 9 m² and 16 m² are the areas of the two smaller squares
∵ 9 m² + 16 m² = 25 m²
∵ The area of the larger square is 25 m²
∴ The sum of the areas of the two smaller squares is equal to the area
of the larger square
i need help please for a friend
Answer:
Its D all you have to do is times it.....
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
i'll be your friend
Ali and Bruno both run the 400 meter dash for their track team. Their coach frequently records their finishing times (in seconds), which are summarized in the table below.
Mean Standard deviation
Ali \mu_A=59μ
A
=59mu, start subscript, A, end subscript, equals, 59 \sigma_A=4.8σ
A
=4.8sigma, start subscript, A, end subscript, equals, 4, point, 8
Bruno \mu_B=50μ
B
=50mu, start subscript, B, end subscript, equals, 50 \sigma_B=3.6σ
B
=3.6sigma, start subscript, B, end subscript, equals, 3, point, 6
Both distributions are approximately normal. Suppose we choose a random 400 meter race and calculate the difference between their times. It's reasonable to assume that their times are independent.
Find the probability that the Ali's finishing time is faster than Bruno's.
You may round your answer to two decimal places.
P\left(\text{Ali faster}\right)\approx
Answer:
.07
Step-by-step explanation:
(GIVING BRAINLIEST!!)
Which future U.S. president wrote the document that acted as the model for the U.S. Constitution?
A) George Washington
B) James Madison
C) John Adams
D) Thomas Jefferson
Answer: B) James Madison
Step-by-step explanation:
Mr. Irvine and Mr. Babyak left in separate cars at the same time on the same road , to see the Nascar Race in Dover, Delaware. Mr. Irvine drove 77mi/h and Mr. Babyak drove 71 mi/h. In how many hours will they be 18 miles apart?
Answer:
In 3 hours, they will be 18 miles apart.
Step-by-step explanation:
Given that:
Speed of Mr. Irvine = 77mi/h
Speed of Mr. Babyak = 71mi/h
Distance to be apart = 18 miles
Let,
t be the time.
We will subtract the speeds as both the cars are driving in the same direction.
Distance = Speed * Time
18 = (77-71)t
18 = 6t
6t = 18
Dividing both sides by 6
[tex]\frac{6t}{6}=\frac{18}{6}\\t=3[/tex]
Hence,
In 3 hours, they will be 18 miles apart.
What is the y-value of the solution to the system of
equations: y = x - 6 and y = -4 ? Just write the number for
your answer.
Answer:
x=2
Step-by-step explanation:
-4 = x-6
-4+6 = 2
x=2
CHECK:
2-6 = -4
Today there is a 90% chance of rain, a 30% chance of thunderstorms, and a 25% chance of rain and thunderstorms together.
Are the two events "rain today" and "thunderstorms today" independent events?
Since (0.9)×(0.3) is -BLANK- 0.25, then the two events -BLANK- independent.
BLANK 1: Greater Than, Less Than, Equal To.
BLANK 2: Are, Are Not.
Answer:
less than, are not
Step-by-step explanation:
n/a
Answer:
Greater than, are not
Step-by-step explanation:
Select all number that are prime PLZ HELP
Answer:
A. 29 Is the prime number.
hOpe it is helpful :)
Callies family spends an average of $70 per month electric at that rate what can that family expect to pay electric for 1 year
Answer:
$840
Step-by-step explanation:
Callies family spends an average of $70 per month electric. At that rate what can that family expect to pay electric for 1 year
Note that:
1 year = 12 months.
Hence, if:
1 month = $70
12 months = $x
Cross Multiply
$x = 12 × $70
$x = $840
Therefore, the amount that family can expect to pay in 1 year(12 month) for electric = $840