Step-by-step explanation:
[tex](x { }^{2} - {y}^{2} ) {}^{2} = ( {x}^{2} + y {}^{2} ) {}^{2} - 4x {}^{2} y {}^{2} [/tex]
Which equation shows that (x^4)^3=x^12
Answer:
A
Step-by-step explanation:
based on exonent rule (#^x)^y=#^xy
Answer:
Its option B, because exponents add when the problem is based on multiplication.
Please help. This doesnt make sense.
Answer:
Reflection about the y axis followed by a translation left by 2 units.
Step-by-step explanation:
There is the answer. ^
Please help me with this problem
Answer:
Since the taxis are heading directly towards each other, we will assume the path between them to be a straight line
We have 2 taxis coming towards each other, which means that we have 2 observers in this system
so from now on, we will see this situation from the eyes of the driver coming at the speed of 40mph
Now imagine yourself in a car. if you are in a moving car, a tree outside will look like it is moving in the opposite direction and it will be doing so at the same speed as the speed of your car and we will always feel like we are at rest
so, we can say that when we are in a car, the objects coming towards us will have our car's velocity added to their velocity, as in the above case, the speed of the tree is 0mph and your speed is v mph, which causes the tree to move back at a velocity of v mph
Now, back to the question. we are in a car moving at a speed of 40 mph and there is a car coming towards us is moving at a speed of 27 mph
If we look at the situation from the eyes of the driver of the car moving at a velocity 40 mph,
he is at rest and the other car is moving at a velocity of (40 + 27) = 67 mph
So, from the frame of reference of the 40mph driver, the other car is moving at 67 mph and the time taken by a car moving at 67 mph to cover 7 miles is the time in which the taxis will meet
Hence, time taken by a 67 mph car to cover 7 miles
time = distance / speed
time = 7 / 67
time = 0.1 hour (approx) or 6 minutes
Therefore, the taxis will meet after 6 minutes
According to researchers at Dan Jones & Associates, 1 in every 3 women has been a victim of domestic abuse (Domestic Violence: Incidence and Prevalence Study, Sept.–Dec., 2005). However, many experts on domestic violence believe that the proportion of women who are domestically abused is closer to p = .10. Compare the probability of observing 4 or more abused women in a sample of 15 if p = 1/3 and the probability of observing 4 or more abused women in a sample of 15 if p = .10. The results will lead us to believe that p=1/3 or p=.1? Group of answer choices p=1/3 p=.1
Answer:
A) 79.08%
B) 5.55%
C)p = 1/3 is more appropriate than p = 0.1
Step-by-step explanation:
This is a binomial probability distribution problem, so we will use the formula;
P(k) = (n!/(k!(n - k)!) × p^(k) × (1 - p)^(n-k)
We want to Compare the probability of observing 4 or more abused women in a sample of 15 if p = 1/3 = 0.3333 and the probability of observing 4 or more abused women in a sample of 15 if p = 0.10
Thus;
P(X ≥ 4) = P(4) + P(5) + P(6) + P(7) + P(8) + P(9) + P(10) + (P(11) + P(12) + P(13) + P(14) + P(15)
A) Thus at p = 0.3333;
P(4) = (15!/(4!(15 - 4)!) × 0.3333^(4) × (1 - 0.3333)^(15-4) = 0.1949
P(5) = (15!/(5!(15 - 5)!) × 0.3333^(5) × (1 - 0.3333)^(15-5) = 0.2143
Using online binomial probability calculator we can get the remaining values which are;
P(6) = 0.1786
P(7) = 0.1148
P(8) = 0.0574
P(9) = 0.0223
P(10) = 0.0067
P(11) = 0.0015
P(12) = 0.0003
P(13) = 0.0000
P(14) = 0.0000
P(15) = 0.0000
Thus;
P(X ≥ 4) = 0.1949 + 0.2143 + 0.1786 + 0.1148 + 0.0574 + 0.0223 + 0.0067 + 0.0015 + 0.0003 + 0 + 0 + 0 = 0.7908 = 79.08%
B) Now,for p = 0.1 and Using online binomial probability calculator, we have;
P(4) = 0.0428
P(5) = 0.0105
P(6) = 0.0019
P(7) = 0.0003
P(8) = 0.0000
P(9) = 0.0000
P(10) = 0.0000
P(11) = 0.0000
P(12) = 0.0000
P(13) = 0.0000
P(14) = 0.0000
P(15) = 0.0000
P(X ≥ 4) = 0.0428 + 0.0105 + 0.0019 + 0.0003 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 + 0.0000 = 0.0555 = 5.55%
C) Comparing both Probabilities, 79.08% is far higher than 5.55%. Thus we can say that p = 1/3 is more appropriate than p = 0.1
Confidence Interval Application Many people feel that the drying of pavement marking paint is much too slow. You spend several days looking for the fastest drying paint you can find; you plan to measure the time (in seconds) for this paint to dry. From information provided by the paint supplier, you believe the time to dry is normally distributed with a standard deviation of 4 seconds. How many paint samples would you need to test to be able to obtain an estimate of paint drying time that is within 1.5 seconds of the actual mean drying time with a probability of 97%
Answer:
The sample size is [tex]n =33[/tex]
Step-by-step explanation:
From the question we are told that
The margin of error is E = 1.5 seconds
The standard deviation is s = 4 seconds
Given that the confidence level is 97% then the level of significance is mathematically represented as
[tex]\alpha =( 100 -97)\%[/tex]
=> [tex]\alpha = 0.03[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.17[/tex]
Generally the sample size is mathematically represented as
[tex]n =[ \frac{Z_{\frac{\sigma }{2 } } * \sigma }{E} ]^2[/tex]
=> [tex]n =[ \frac{2.17 * 4 }{1.5} ]^2[/tex]
=> [tex]n =33[/tex]
Macie Andersen earns $9.75 an hour working at the local bookstore. Last week she worked 17 hours. This week she worked 25 hours. What was her straight time pay for the two weeks?
Answer:
$407.50
Step-by-step explanation:
take 9.75 × 17=165.75
take 9.75 × 25=243.75
add 165.75 and 243.75=407.50
turn into dollars $407.50
EXTRA POINTS AND BRAINLIEST
Answer:
8+y
Step-by-step explanation:
Sum means that you are adding the constant 8 and the variable y.
Hope this helps!!
Answer:
8 + y
Step-by-step explanation:
"sum" means you are performing addition or adding two quantities/values together
Therefore, the "sum" of "8 and y" is just adding 8 and y together
You just put a plus sign between 8 and y to add them together, so you get 8 + y.
Hope this helps!
:)
Find the zeros of the function.
f(x) = 3x2 – 8x – 16
Answer:
amusing you mean 3x^2-8x-16 the answer is when x is equal to -4/3 and 4
Step-by-step explanation:
3x^2-8x-16 ------> (3x+4)(x-4)
3x+4=0 ----> 3x=-4 ----> x=-4/3
x-4=0 ----> x=4
There are 285 seventh-graders at Greg's school.
If there are 19 more girls than boys, how many seventh-grade boys are there? How many girls are there?
Answer:
124 boys and 161 girls
Step-by-step explanation:
There are 285 students total. Divide 285 by 2, you get 142.5. Since you can't have half a student, lets round it up to 143. Now, there are 19 more girls than guys, so you would subtract 19 from 143. When you do that, (143-19) you get 124. Then you take 285 and subtract 124. You get 161.
Hope this is correct!
Find p in terms of m if = r, r = p, p ≠0, and m > 0
Of the three elevation, -2 feet, -12 feet, and 30 feet, which represents the least number? Which represents the farthest from sea level?
Answer:
-12 feet represents the least feet and the farthest from sea level.
Step-by-step explanation:
Write 600 as the product of prime factors give your answer in index
Answer:
5²×2³×3
Step-by-step explanation:
600=5×5×2×3×2×2
In index form this would be 5²×2³×3
Read the question tell me if it’s hard for a 5 grader
Answer:
No, all you are doing is ordering them from least to greatest value. Your answer would be C.
Step-by-step explanation:
Answer:
danggg them fifth graders are gonna break there head
Step-by-step explanation:
In a city with one hundred taxis,1 is blue, and 99 are green. A witness observes a hit-and-run by a taxi at night and recalls that the taxi was blue, so the police arrest the blue taxi driver who was on duty that night.The driver pro claims his in no cence and hires you to defend him in court. You hire a scientist to test the witness' ability to distinguish blue and green taxi's under conditions similar to the night of the accident.The data suggests that the witness sees blue cars as blue 99% of the time,and green cars as blue 2% of the time.
Required:
Use this information to perform an analysis where you show that there is reasonable doubt about your clients' guilt
Answer:
the probability the car was actually blue as claimed by the witness is 33.33%. This is a low percentage and thus, there is a reasonable doubt about the guilt of the client.
Step-by-step explanation:
We are given;
P(car is blue) = 1% = 0.01
P(car is green) = 99% = 0.99
P(witness said blue | car is blue) = 99% = 0.99
P(witness said blue | car is green) = 2% = 0.02
We will solve this by using Bayes’ formula for inverting conditional probabilities:
Thus;
P(car is blue | witness said blue) =
[P(witness said blue | car is blue) × P(car is blue)] / [(P(witness said blue | car is blue) × P(car is blue)) + (P(witness said blue | car is green) × P(car is green))]
Plugging in the relevant values gives;
(0.99 × 0.01)/((0.99 × 0.01) + (0.02 × 0.99)) = 0.3333
Thus, the probability the car was actually blue as claimed by the witness is 0.3333 or 33.33%
4+ (-3) - 2*(-6)
What is the answer to
Answer:
13
Step-by-step explanation:
4+(-3)-2*(-6)
4-3-2*-6
1-(-12)
1+12
13
Answer: 13
Step-by-step explanation:
I Had The Same Problem So Try And Its Gonna Be Right.
F(x) = x^2. What is g(x)
Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – kf(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4
Write an equation in slope-intercept form for the line that passes through (0, 1) and is perpendicular to the line whose equation is y = 2x? Ay= -2x + 1 B y = 2x + 1 C y = x + 1 Dy=-%2x + 1
Answer:
y= -1/2 x + 1
Step-by-step explanation:
The line passes through point (0, 1) and is perpendicular to line with equation :
y=2x
Perpendicular lines are those that give -1 when the product of their slopes is calculated.
This means m₁ *m₂= -1
In this case, m₁=2, finding m₂ as;
m₁ * m₂ = -1
2 * m₂ = -1
m₂ = -1/2
Using point (0, 1),m₂ = -1/2, and imaginary line (x, y) then the equation of the line in slope-intercept form y= mx + b will be;
-1/2 = y-1/x-0
-1/2 x = y-1
1-1/2x = y
The equation will be ;
y= -1/2 x + 1
Answer plzzz I don’t understand
Answer:
Step-by-step explanation:
in a triangle, the sum of all angles is 180 (angle sum theorem). so use the equation 180=50+80+10x. then solve
1. combine like terms
it becomes 180=130+10x
2. subtract 130 from both sides
it becomes 50=10x
3. divide both sides by 10
it becomes 5=x
so, x=5
hope this helped :)
find a counterexample for the conjecture: If n is a real number, then -n is a negative
Answer:
Step-by-step explanation:
-5 is a real number, right ?
- (-5) = 5 is not negative
thanks
Given f(x) = -5x - 2, what is the value of f(-3/5)?
Answer:
1
Step-by-step explanation:
f(-3/5)=-5(-3/5)-2
f(-3/5)=3-2
f(-3/5)= 1
The tax on a new pair of headphones is $3.70 and the total cost after tax is $49.95 . What is the pre-tax price of the headphones
Answer:
the price is 46.25 dollars
Step-by-step explanation:
There are five wires which need to be attached to a circuit board. A robotic device will attach the wires. The wires can be attached in any order, and the production manager wishes to determine which order would be fastest for the robot to use. Use the multiplication rule of counting to determine the number of possible sequences of assembly that must be tested. (Hint: There are five choices for the first wire, four for the second wire, three for the third wire, etc.
Answer:
4
Step-by-step explanation:
44
Which is the solution to the equation 0.5X+4.2=5.9? Round to the nearest tenth if necessary.
O 0.9
3.4
5.1
20.2
Answer:
x = 3.4
Step-by-step explanation:
First start by subtracting 4.2 from both sides and getting .5x = 1.7. Now divide by .5 on both sides. Dividing by .5 is really the same as multiplying by 2, so you get x = 3.4.
Answer:
3.4
Step-by-step explanation:
I did this and got it right
A plane flew at a constant speed and traveled 762762762 miles in 555 hours.
How many miles would the plane travel in 333 hours at the same speed?
Answer:
457657657.2
Step-by-step explanation:
(762762762/5)*3=457657657.2 miles
Simplify the following:
a
2
b
•
b
2
a
2
c
=
a
2
b • b
2
a
2
c =
Answer:
It is A
Step-by-step explanation:
Which of the following relations be a function? Select all that apply.
Im not a teacher I want questions to be to answer
Answer:
Huh now?
Step-by-step explanation:
I am sorry but I do not understand
Use rounding to estimate the product. Is your estimate an underestimate or an overestimate? 8 × 9.82
Answer:
Over
Step-by-step explanation:
Write 64 as a product of primes.
Use index notation where appropriate.
Answer:
[tex]{\huge{\pink{\underline{\underline{Question:}}}}}[/tex]
Write 64 as a product of primes.
Use index notation where appropriate.
[tex]{\huge{\pink{\underline{\underline{Solution:}}}}}[/tex]
[tex]Prime\ no.\ is\ 2[/tex]
Factorisation of 64=2×2×2×2×2×2
[tex]{2}^{6} [/tex]
there’s the graph so yeah
Answer:
what
Step-by-step explanation: