Answer:
F test = 2.54
Step-by-step explanation:
We are given two samples
Standard deviation of the first sample = 3.9288
Standard deviation of the second sample = 6.2597
F test statistic = Variance of the Larger sample/ Variance of the smaller sample
Variance = (Standard deviation)²
Variance for the first sample = 3.9288²
= 15.43546944
Variance for the second sample = 6.2597² = 39.18384409
F test = 39.18384409/15.43546944
= 2.5385586258
Therefore, the F test approximately = 2.54
Answer:
2.539
Step-by-step explanation:
Standard deviation of sample 1 = 3.9288
Standard deviation of sample 1 = 6.2597(
Standard deviation = √variance
Variance = (standard deviation)^2
Variance of sample 1 = (3.9288)^2 = 15.43546944
Variance of sample 2 = (6.2597)^2 = 39.18384409
For two samples:
F stat = (variance 1) / (variance 2)
Since the variance of sample is large, we place it in th e numerator
F stat = (39.18384409) / (15.43546944)
F stat = 2.5385586
F stat = 2.539
Simplify 5/6i please help
Answer:
5/6 can´t be simplified
Step-by-step explanation:
Answer:
5i/6
Step-by-step explanation:
[tex]\frac{5}{6}i\\\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{5i}{6}[/tex]
Please help!! Which of the following is a conjugate for 7+i square root 2?
Its conjugate is
7 - i√2
Two fair dice are tossed and the number on each die is recorded, e.g. (3,2) indicates the first die had 3 and the second die had a 2. In total, there are 36 (equally likely) outcomes in the sample space. What is the probability the sum of the two dice is 7
Answer:
[tex]\dfrac{1}{6}[/tex]
Step-by-step explanation:
Given that two fair dice are tossed.
Total outcomes as we toss two dice are given as:
{
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)
}
Where (a, b) represents a is the outcome of the die rolled for the 1st time and b is the outcome of 2nd toss of the die.
Total number of outcomes = 36
The outcomes with sum = 7 are :
{(1, 6), (2, 5), (3, 4) , (4, 3), (5, 2), (1, 6)}
Number of outcomes = 6
Probability of an event E is given as:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]
[tex]P(sum=7) = \dfrac{6}{36}\\\Rightarrow \bold{P(sum=7) = \dfrac{1}{6}}[/tex]
The bus fare in a city is $ 1.75 People who use the bus have the option of purchasing a monthly coupon book for $ 35.00 With the coupon book, the fare is reduced to $0.50. How many times must someone use the bus so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book?
Answer:
28 times
Step-by-step explanation:
Create an equation where x represents the number of times the bus is used:
1.75x = 0.5x + 35
Solve for x:
1.75x = 0.5x + 35
1.25x = 35
x = 28
So, the bus has to be used 28 times for the prices to be the same.
Solve the rational expression 9x+3/12x+4
Answer:
The answer is
[tex] \frac{3}{4} [/tex]Step-by-step explanation:
[tex] \frac{9x + 3}{12x + 4} [/tex]
To solve the rational expression factorize both the numerator and the denominator.
For the numerator
9x + 3
Factorize 3 out
We have
3( 3x + 1)
For the denominator
12x + 4
Factorize 4 out
That's
4( 3x + 1)
So we now have
[tex] \frac{3(3x + 1)}{4(3x + 1)} [/tex]Reduce the expression with (3x + 1)
We have the final answer as
[tex] \frac{3}{4} [/tex]Hope this helps you
X+1/6=-3/5 solve
for x
Answer:
-13/30
Step-by-step explanation:
take 1/6 to other side,
x=-3/5 -1/6
taking LCM of denominators,
-8-5/30
=-13/30
Answer:
X=23/30
Step-by-step explanation:
X + 1/6 = -3/5
X + 5/30 = -18/30
-5/30 -5/30
X = -23/30
I feel like i did something wrong... but im pretty sure its right. Let me know if it's right! Hope it helps.
$10.00 divided by 25
Which point lies on the line with point-slope equation y - 3 = 4(x + 7)?
A.
(7, 3)
B.
(7, -3)
C.
(-7, -3)
D.
(-7, 3)
Answer:
D. (-7, 3)Step-by-step explanation:
The standard form of a point slope equation of a line is expressed as shown;
y-y₀ = m(x-x₀) where;
m is the slope of the line
(x₀, y₀) is the coordinate of the point that lies in the line.
Comparing the standard equation given with the equation in question
y - 3 = 4(x + 7) to get the point on the line we will have;
y₀ = 3 and -x₀ = 7
for -x₀ = 7;
multiply both sides with a minus sign
-(-x₀) = -7
x₀ = -7
Hence the coordinate of the point required (x₀, y₀) is (-7, 3).
The height of an object tossed upward with an initial velocity of 120 feet per second is given by the formula h = −16t2 + 120t, where h is the height in feet and t is the time in seconds. Find the time required for the object to return to its point of departure.
Answer:
7.5 seconds
Step-by-step explanation:
[tex]h = - 16 {t}^{2} + 120t \\ \because \: we \: have \: to \: find \: the \: time \: required \: \\ for \: the \: object \: to \: return to \: its \: \\ point \: of departure. \\ \therefore \: plug \: h = 0 \: in \: the \: given \: euation. \\ \therefore \: 0 = - 16 {t}^{2} + 120t \\ \therefore \:16 {t}^{2} - 120t = 0 \\ \therefore \:8t(2t - 15) = 0 \\ \therefore \:8t = 0 \: \: or \: \: (2t - 15) = 0 \\ \therefore \:t = \frac{0}{8} \: or \: t = \frac{15}{2} \\ \therefore \:t = 0 \: or \: t = 7.5 \\ \because \: t = 0 \: is \: not \: possible \\ \huge \purple{ \boxed{ \therefore \: t = 7.5 \: seconds}}[/tex]
Thus, the time required for the object to return to its point of departure is 7.5 seconds.
you live in the building on the left in the drawing, and a friend lives in the other building. the two of you are having a discussion about the heights of the buildings, and your friend claims that the height of his building is more than 1.50 times the height of yours. to resolve the issue you climb to the roof of your building and estimate that your line of sight to the top edge of the other building makes an angle of 21° above the horizontal, whereas your line of sight to the base of the other building makes an angle of 52° below the horizontal. determine the ratio of the height of the taller building to the height of the shorter building. state whether your friend is right or wrong.
Answer:
4
Step-by-step explanation:
Andy painted 400 square feet in 3 hours. At that rate, how many cars could they wash in 7 hours? *
Answer:
It will take 5.4 hour to paint 720 square feet
Step-by-step explanation:
The question should be like this"Andy painted 400 square feet in 3 hours. How long would it take him to paint 720 square feet?"
In 3 hours = 400 square feet is painted
1 square feet is painted in [tex]\dfrac{3}{400}\ h[/tex]
To find time to paint 720 square feet multiply the above term by 720 as follows :
[tex]720\ ft^2=\dfrac{3}{400}\times 720\ h\\\\=5.4\ h[/tex]
So, it will take 5.4 hour to paint 720 square feet.
SOS. I'm stuck!! helpppppp
Answer:
12+x goes to 19
3x+y goes to 25
4y-10 goes to 6
1/2xy goes to 14
x=7 and y=4 all you have to do is substitute for example 12+x substituted it's 12+7 then just do the math. That's it.
1. Ted is 5 years older than Ned. Let n = Ned's age. Then _?_= Ted's age.
Answer:12
Step-by-step explanation:
The number p, the number q, and the product p.q are all the same type of
number. Which type of number could they be?
A negative numbers
B prime numbers
complex numbers
rational numbers
Answer:
rational numbers
Step-by-step explanation:
They cannot be negative numbers because the product of two negative numbers is positive.
They cannot be prime numbers because the product of two prime numbers is not a prime number.
The product of two complex numbers can be a complex number, but it may also be a real number.
The product of two rational numbers is always rational.
Answer: rational numbers
Solve equation. What is the solution set
-4(z-2)+4=21-(z-3)
Answer:
z=-75/17
Step-by-step explanation:
Expand this equation:
-4z+8+4=-21z-63
-4z+21z=-63-8-4
17z=-75
z=-75/17
FIRST TO ANSWER GETS BRAINLIEST
A train journey is supposed to last 2.5 hours. The train leaves the station 15 minutes late and stops at another station for an extra 20 minutes. How long did the entire journey take? FIRST TO ANSWER GETS BRAINLIEST!
Answer:
12.5
Step-by-step explanation:
that is to say 20 -15 because it went late =5
then 2.5×5
Alana noticed that a number like 8 = 2 (i.e. ) has exactly four factors: 1, 2, 2 , and ! 2 . What other numbers are of this form have exactly four factors? Do all the perfect cubes have exactly four factors? Is it true that all numbers that have exactly four factors are perfect cubes?
Answer:
Step-by-step explanation:
Hello,
What other numbers are of this form have exactly four factors?
[tex]8=2^3\text{ has 4 factors } 1, 2, 2^2, 2^3\\\\\text{For any prime p, }p^3\text{ has 4 factors } 1, p, p^2, p^3\\\\[/tex]
Do all the perfect cubes have exactly four factors?
[tex]\text{If p is not prime, then it is not true anymore} \\ \\\text{For instance, }8^3\text{ has more than 4 factors } 1, 2^2, 2^3, 2^4, etc..[/tex]
Is it true that all numbers that have exactly four factors are perfect cubes?
6 has 4 factors : 1, 2, 3, 6 but this is not a perfect cube.
Thank you.
We know that any number can be decomposed as a product of prime numbers.
For example:
[tex]8 = 1\cdot 2\cdot 2\cdot 2[/tex]
8 has four factors if we count the 1.
Now we need to answer some questions regarding this:
What other numbers are of this form have exactly four factors?
8 is a cube number.
Remember that all cube numbers X can be written as:
[tex]X = n\cdot n\cdot n \cdot 1[/tex]
Now, if n is prime, then we can say that X is of the form of 8 and also has 4 factors.
But let's see the case:
[tex]8\cdot 8\cdot8= 512[/tex]
512 is a perfect cube, and if we decompose it we get:
[tex]512 = 8\cdot 8\cdot 8 = (2\cdot 2\cdot 2)\cdot (2\cdot 2\cdot 2)\cdot (2\cdot 2\cdot 2)\cdot 1[/tex]
So we found a perfect cube that has 10 factors.
This means that not all perfect cubes have exactly 4 factors.
Now, all numbers that have exactly four factors are perfect cubes?
This is also false, just let's create a counterexample.
[tex]1\cdot 2\cdot 3\cdot 5 = 30[/tex]
the number 30 is not a perfect cube, and we can see that it has exactly 4 factors.
If you want to learn more, you can read:
https://brainly.com/question/832797
PLEASE HELP and HURRY!!! I have a few minutes to turn it in
Answer:
The side of the square is 15m
The side of the triangle is 20m
Step-by-step explanation:
P square = 4s where s is the side length
P triangle = 3 x where x is the side length
x = s+5
The perimeters are equal
4s = 3x
Replace x with s+5
4s = 3(s+5)
Distribute
4s = 3s+15
Subtract 3s from each side
4s-3s = 15
s = 15
The side of the square is 15
x =s+5
=15+5
= 20
The side of the triangle is 20
Answer:
[tex]\Large \boxed{\mathrm{square: 15 \ meters}} \\\\ \Large \boxed{\mathrm{triangle: 20 \ meters}}[/tex]
Step-by-step explanation:
The perimeter of a square is [tex]\sf P=4s[/tex], where s is the side length.
The perimeter of an equilateral triangle is [tex]\sf P=3a[/tex], where a is the side length.
The side length of the equilateral triangle is 5 more than the side length of the square.
[tex]\sf a = s+5[/tex]
The perimeter of the square and equilateral triangle are equal.
[tex]\sf 4s=3(s+5)[/tex]
Expanding brackets.
[tex]\sf 4s=3s+15[/tex]
Subtracting 3s from both sides.
[tex]\sf s=15[/tex]
The side length of the square is 15 meters.
[tex]\sf a=15+5 \\\\\\ a=20[/tex]
The side length of the triangle is 20 meters.
cook books have recipes that are designed for 4 people. if a particular recipe in a cook book calls for 3 eggs, how many eggs would you need if you were cooking the recipe for 14 people?
Answer:
10.5
Step-by-step explanation:
If the recipe is designed for 4 people than you would need 6 eggs for 8 people (8 is twice as many as 4 so you need twice as many eggs.) similarly, 14 is 3.5 times as many as 4 (14/4=3.5) so you would need 3x3.5=10.5 eggs.
Not sure how that works but I hope this helped!
4x — 3 = —31 Solve for x
Answer:
x = -7
Step-by-step explanation:
4x — 3 = —31
Add 3 to each side
4x — 3+3 = —31+3
4x = -28
Divide by 4
4x/4 = -28/4
x = -7
Your answer would be x=-7 or -7!
Use inductive reasoning to predict the most probable next number in the list. 1, 4, 9, 16, 25, ?
Answer:
36
Step-by-step explanation:
Starting with 4, 9.
9 - 4 = 5 then + 2
So forward.
Answer:
1, 4, 9, 16, 25, 36
Step-by-step explanation:
This is because as you see 1 + 3 = 4, then 4 + 5 = 9, then 9 + 7 = 16. So we see that it goes like 3 + 5 + 7 + 9 + 11 + 13 . . . That is the pattern. Hope this helps!
Please help me with the question below
Answer:
She's 12 years old! i hope this helps you!
Step-by-step explanation:
A shirt was originally priced at $60. The store is having a 15% off sale. How much will you pay for the shirt after the discount (not including tax) $________________
Answer: $51
Step-by-step explanation:
If 15% discount is applied then 85% of the price will be the left to pay.
so 85% * 60 will give you the price of the shirt after the discount.
85% * 60 = 51
Answer:
Step-by-step explanation:51.00$
Graph the line with slope 1 passing through the point (5,4) .
Answer:
y=x-1
is the line equation
Step-by-step explanation:
As we know that general equation of line is given by
y=mx + c
m is the slope and c is is y intercept
Know m = 1 and point (x,y) as (5,4)
So plug in the values and solve for c
4=1*(5)+c
c=-1
So equation of line is
y=x-1
Find the intercepts for this equation. x+2y=10
Answer:
Step-by-step explanation:
y= 0
x + 2(0) = 10
x = 10
(10, 0)
x = 0
0 + 2y = 10
2y = 10
y = 5
(0,5)
100 points, will mark brainliest!!!! Explain why (4, 1) is not a solution to the equation y = 3x + 1.
Because if you substitute x = 4 and y = 1 in the equation of y = 3x + 1, you'll see that both sides are different.
So if we substitute x = 4 and y = 1 in the equation, we get:
1 = 3(4)+1
1 = 12+1
1 = 13
The equation isn't true though. Also we can explain why (4,1) isn't the solution to the equation by graph (you can go draw the graph of y = 3x + 1 and notice that the line doesn't pass through (4,1) )
Also how about another example? But this time, we use (0,1) which is the solution of y = 3x + 1.
Substitute x = 0 and y = 1 in the equation as we get:
1 = 3(0)+1
1 = 0 + 1
1 = 1
Since the equation is true, that means the (0,1) is one of the solution of y = 3x + 1.
Maybe, you want another example again? How about (1,4) which is also one of the solution of y = 3x + 1.
Again, substitute x = 1 and y = 4.
4 = 3(1)+1
4 = 3+1
4 = 4
Since the equation is true. Therefore (1,4) is also one of the solution of y = 3x + 1.
Also here's why (4,1) is not the solution of y = 3x + 1
Basically, from (x,y), 4 is the x and 1 is the y. If we substitute "x" in any equations, we get the "y". Meaning that the x value can be meant as "input" and we get the output "y" like Function which is it.
If we substitute x = 4 in the equation...
y = 3(4)+1
y = 12+1
y = 13
Meaning that the actual y value is 13, not 1. This explains why (4,1) isn't the right solution.
Maybe, what if we substitute y instead? Well that works. Now let's try substitute both y = 1 and y = 13 to see which is the right value.
(1) For y = 1,
1 = 3x+1
1-1=3x
0=3x
x=0 (Therefore, x = 0 and y = 1)
So the actual order is (0,1).
(2) For y = 13
13 = 3x+1
13-1 = 3x
3x = 12
x = 4 (Therefore, x = 4 and y = 13)
so the actual order for (2) is (4,13).
Basically, (4,1) is false for y = 3x + 1.
Answer:
See below
Step-by-step explanation:
Given the point (4,1) means
(x,y) = (4,1)
So, x = 4 , y = 1
Given the equation y = 3x+1
Put x = 4 and y = 1
=> 1 = 3(4)+1
=> 1 = 12 + 1
=> 1 ≠ 13
Since Left hand side doesn't equal right hand side, (4,1) is not the solution to y = 3x+1
What is the simplified expression for 4 to the 4 power x 4 to the 3 power over 4 to the 5 power
Answer:
42 or 4^2
hope this helps
Answer:
4^12
Step-by-step explanation:
What is the area of the parallelogram shown
Your dinner in London cost 82 British pounds. How much
was it in U.S. dollars?
Some one please help me ASAP!!!
In U.S. dollars, the equivalent money will be $100.74
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.
Given is your dinner in London cost 82 British pounds
Then in U.S. dollars, the equivalent money will be equivalent to -
x = 82 pounds = 82 x 1.2286 = $100.74
x = $100.74
Therefore, in U.S. dollars, the equivalent money will be $100.74
To solve more questions on Equations, Equation Modelling and Expressions visit the link below -
brainly.com/question/14441381
#SPJ2
Simplify using like terms
1.7 + 8.23 -3.4 +4.7j
Step-by-step explanation:
Let's look at our expression:
[tex]1.7+8.23-3.4+4.7j[/tex]
The numbers without a variable at the end are like terms here. Let's add them up.
[tex]1.7+8.23=9.93\\9.93-3.4=6.53[/tex]
Then, let's add our answer, 6.53, to the term with a variable, 4.7j.
Our final answer: 6.53 + 4.7j
I hope this helps you!