Answer:
(a) [tex]x^4 * (-y)^4 = (xy)^4[/tex]
Step-by-step explanation:
Given
[tex]x^4 * (-y)^4[/tex]
Required
Select and equivalent expression
[tex]A.\ (xy)^4[/tex] [tex]B.\ (-xy)^4[/tex] [tex]C.\ -(xy)^4[/tex] [tex]D.\ (x-y)^4[/tex]
[tex]x^4 * (-y)^4[/tex]
Apply law of indices:
[tex]x^4 * (-y)^4 =x^4 * (-y) * (-y) * (-y) * (-y)[/tex]
This gives:
[tex]x^4 * (-y)^4 = x^4 * (y) * (y) * (y) * (y)[/tex]
[tex]x^4 * (-y)^4 =x^4 * y^4[/tex]
x and y have the same exponent; So, they can be expressed as:
[tex]x^4 * (-y)^4 = (x*y)^4[/tex]
[tex]x^4 * (-y)^4 = (xy)^4[/tex]
In the U.S., 51% of all births are boys, and 49% are girls. Use the binomial model to find the probability that 6 out of 10 births at a local hospital are boys.
P
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=
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x
)
!
]
p
x
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P
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-
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A.
17%
B.
21%
C.
49%
D.
51%
Answer: The correct answer is B) 21%
Step-by-step explanation:
This is a binomial model probability problem. We need to find the probability of 6 out of 10 new births at a hospital being boys. The information we need is the number of trials observed, the number of successes and the percentage chance you have of any birth being a boy. The number of trials are 10, with the number of successes being 6 (the number of trials we want to be boys) It states that 51% or 0.51 of all births in the US are boys so we can use this value to determine our answer using our binomial model formula. After simplifying we get our answer of 21% I hope this has been of use to you :)
Have a wonderful rest of your day!
The probability that 6 out of 10 births at a local hospital are boys is 21%, so option B is correct.
What is probability?The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.
Given data:
In the U.S., 51% of all births are boys, and 49% are girls
Calculate the probability by the formula given below,
[tex]P(x) = [n! / {x!(n-x)!}]P^xQ^{n-x}[/tex]
Here x = 6 and n = 10, put the values,
P(x) = [10! / {6!(10-6)!}] × 51⁶ × 49⁽¹⁰⁻⁶⁾
P(x) = [10! / {6!4!}] × 0.51⁶ × 0.49⁴
P(x) = 210 × 0.0176 × 0.0577
P(x) = 0.21
P(x) = 21 %
Therefore, the probability that 6 out of 10 births at a local hospital are boys is 21%.
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Please help quick!!
Which expression is equivalent to
25?
- 2 + 2 + 2 + 2 + 2
- 5 + 5
- 2 · 2 · 2 · 2 · 2
- 5 · 5
the last one sorry i thought 5 was negative lol
Answer:
5 · 5
Step-by-step explanation:
2 + 2 + 2 + 2 + 2 = 10
5 + 5 = 10
2 · 2 · 2 · 2 · 2 = 32
5 · 5 = 25
How do you turn 8x-4y=20 into slope intercept form?
Please show me the steps
Answer:
[tex]y = 2x - 5[/tex]
Step-by-step explanation:
[tex]y = mx + b[/tex]
We need to leave y-term as the subject of equation.
[tex] - 4y = 20 - 8x[/tex]
Move 8x to subtract.
[tex]y = \frac{20 - 8x}{ - 4} [/tex]
Pull the negative out of 4.
[tex]y = - \frac{20 + 8x}{4} [/tex]
Simplify
[tex]y = - \frac{20}{4} + \frac{8x}{4} \\ y = - 5 + 2x[/tex]
Swap x-term and constant.
[tex]y = 2x - 5[/tex]
Anyone mind helping me? 4.5+x=11?
Move all terms not containing x to the right side of the equation.
x = 6.5
Which of the following values for y makes the inequality True? 3y >12
answer:
a value of five or more would make the inequality true
PLEASE HELP ME I ONLY HAVE 5 MINUTES TO TURN THE WHOLE ASSIGNMENT IN
Answer: 2
Step-by-step explanation:
Answer:
Im pretty sure the answer is 2. Good luck<3
SOMEONE PLEASE HELP ME
I have so much math to do, can someone please help me out by doing this.
Answer:
1-4
An exponent is the amount of times a number is multiplied by itself
Ex: For number 1, 43 is being multiplied 4 times so it would be 43 to the 4th power (43 with a 4 above, I can't really type it so I apologize)
5-10
You might or might not need a calculator especially for the decimal but you will input the number into the letter "n" and multiply that by itself however many number of times is on the exponent.
Ex: For number 5, n=8 to the 2nd power would be 64 because 8 × 8 = 64
And so on and so forth for the rest of the questions! If you don't understand I would highly recommend asking your teacher or looking up videos because I feel like that would help more than typing it out in words! Good luck though!
1, 172 2, 300 3, x3 4, p5
i will put the rest in the comments
ill give brailest
Read the excerpt below. Which of the following statements best summarizes the main idea of the excerpt?
In 1944 Elion joined the Burroughs Wellcome Laboratories (now part of GlaxoSmithKline (a company that makes prescription medicines)). There she was first the assistant and then the colleague of Hitchings, with whom she worked for the next four decades. Elion and Hitchings developed an array (variety) of new drugs that were effective against leukemia, autoimmune disorders, urinary-tract infections, gout, malaria, and viral herpes.
Elion believed that new drugs could be developed to help people.
Elion had to work for Hitchings because she was a woman.
Elion worked hard for more than 40 years to earn money for retirement.
Elion and her colleagues were responsible for developing important drugs.
10. Peter had a policy with a $250 deductible which paid 80% of his covered charges less deductible. He had medical expenses of $18,240.00. What is the insurance company's payment?
O $14,392
O $14,300
O $250
O $15,000
Answer:
$14392
Step-by-step explanation:
The insurance company's payment is $14392. which is the correct answer would be an option (A).
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
The required insurance company's payment is the difference between 80% of medical expenses and 80% of the deductible amount.
According to the given question, the required solution would be as:
The insurance company's payment = 80% of $18,240.00 - 80% of $250
The insurance company's payment = (80/100)18,240.00 - (80/100)250
The insurance company's payment = (0.80)18,240.00 - (0.80)250
The insurance company's payment = 14592 - 200
Apply the subtraction operation,
The insurance company's payment = $14392
Therefore, the insurance company's payment is $14392. which is the correct answer would be an option (A).
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A bag of marbles had 36 yellow marbles and the rest were green. For a game, 32 marbles were chosen from the bag. Of these 32 marbles chosen, 78 were yellow.
Use this information to answer the questions below.
If not enough information is given to answer a question, click on "Not enough information."
Question 1
How many yellow marbles were NOT chosen
Question 2
How many of the bags marbles were NOT chosen
Question 3
How many yellow marbles were chosen
Answer
Step-by-step explanation:
what method matters?
Answer:
46
Step-by-step explanation:
46+ 32= 78
40+30=70
6+2=8
70+8+78
Can someone help me please!!
9514 1404 393
Answer:
AE = CE = 23; BE = DE = 20
Step-by-step explanation:
Put the values of the variables in their place and do the arithmetic.
AE = 2u+5 = 2(9) +5 = 23
BE = 6v-1 = 6(3.5) -1 = 20
CE = 3u-4 = 3(9) -4 = 23
DE = 8v-8 = 8(3.5) -8 = 20
The diagonals cross at their midpoints, so the quadrilateral is a parallelogram.
Maximum value of a+b if ab=36 is
Answer:
-------------------------------------------------------------------------------
Step-by-step explanation:
In the mid term test Jesse scored 92%,89% and 90%.What was her main score
Answer:
100%
Step-by-step explanation:
Answer:
90.3%
Step-by-step explanation:
I think you have a typo. I'm pretty sure you meant mean score. To find the mean, we add up all the values and divide by the number of values. Let's add 92, 89, and 90. That gets us 271. Now, let's divide 271 by 3. That gets us 90.3. That means Jesse's mean score is 90.3%.
6 lots of 3 is 6 more than 5 lots of 3
What is the difference of the polynomials?
Answer:
[tex]2x^{3} + 2x[/tex]
Step-by-step explanation:
[tex](x^{4} + x^{3} + x^{2} + x) - (x^{4} - x^{3} + x^{2} - x)[/tex] --> Equation
[tex]x^{4} + x^{3} + x^{2} + x - x^{4} + x^{3} - x^{2} + x[/tex] --> Substituted the -1 on the second parentheses to successfully be able to subtract
[tex](x^{4} - x^{4}) + (x^{3} + x^{3}) + (x^{2} - x^{2}) + (x + x)[/tex] --> Combined Like Terms
[tex](0) + (2x^{3}) + (0) + (2x)[/tex] --> Simplified
[tex]2x^{3} + 2x[/tex] --> Simplified
Hope this helped! <3
Evaluate 3x-(5x-1)-3(2x-10)
Answer:
-8x + 31
Step-by-step explanation:
Hope it helps, have a great day
WHAT IS THE SQUARE ROOT OF 100???!??!?!?!??! WILL MARK BRAINLIEST
Answer:
10
Step-by-step explanation:
This is one of the easiest equations to perform on a calculator and to memorize, as I had to do in 7th grade. Just remember that when you multiply anything by 10, including itself, you just add a 0 to the result. So, 10 * 10 = 100. 10 * 11 = 110. 10 * 12 = 120. And so on...
Answer:
I need 1 Brainliest before I can become Virtuoso
Step-by-step explanation:
over a 5-year period.
Investment over
5 years
Value of investment (£)
1140
1120
1100
1080
1060
61040
1020
1000
0
0 1 2 3 4 5
Year
Answer:
Year 0 900$
Year 1 1000$
year 2 1080$
Year 3 61040$- (interest comes in)
Year 4 110000$
Year 5 152000$
Step-by-step explanation:
Make sure you put that interest comes in or you will be marked wrong.
You're welcome :D GoodLuck have a good day
50 points
There are 63 female performers in a dance recital. The ratio of men to women is 4:9. How many men are in the dance recital?
Answer:
28
Step-by-step explanation:
63/9=7
7*4=28
(a) Write 1.04 x 10as an ordinary number.
(b) Write 0.06 in standard form.
4.62 x 10% tins of beans were sold last year.
These tins of beans cost a total of £300.3 million.
(c)Work out the average cost per tin of beans.
Answer: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.
Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.
Step-by-step explanation: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.
Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.
HELP!!!
Write the slope and a point from each of the given equations
1) y + 5 =-7/4(x-4)
Answer: x=
7
Step-by-step explanation:
DJ Mykel is making a playlist for a radio show; he is trying to decide what 14 songs to play and in what order they should be played. Step 1 of 2 : If he has his choices narrowed down to 7 hip-hop, 5 jazz, 7 pop, and 8 blues songs, and he wants to play no more than 3 hip-hop songs, how many different playlists are possible
Answer:
5878600 different playlists.
Step-by-step explanation:
Since we require 14 songs for the playlist and there are 7 hip-hop, 5 jazz, 7 pop, and 8 blues songs, and DJ Mykel wants to play no more than 3 hip-hop songs, the number of ways in which he can combine the 7 hip-hop songs to play no more than 3 is ⁷C₃ = 7!/4!3!.
Now, since we have 3 songs already selected, we are left with 14 - 3 = 11 songs to select.
Since we have selected the 3 hip-hop songs, we are left with 5 jazz, 7 pop, and 8 blues songs which sum to a total of 20 songs.
So, we have 20 songs to select in 11 ways which is ²⁰C₁₁ = 20!/(20 - 11)!11! = 20!/9!11!
So, the number of different playlists that can be formed is thus
⁷C₃ × ²⁰C₁₁ = 7!/4!3!.× 20!/9!11!
= 35 × 167960
= 5878600 different playlists.
All cabins on the Giant Ferris Wheel are numbered in order starting from the number 1. Jack came and sat in cabin 48. Jim skipped the next 15 cabins and sat in cabin 2. How many cabins are there
Answer:
61 cabins
Step-by-step explanation:
Since Jim skipped 15 cabins and ended up sitting in cabin 2 that means he finished the number of cabins available and passed it by 2 cabins. Meaning that if we subtract 2 cabins from the 15 he skipped that would mean that from where Jack is sitting there are only 13 more cabins available. Now we simply add the 13 cabins to the number of cabins that Jack is sitting in to calculate the total number of cabins.
48 + 13 = 61
Step-by-step explanation:
62 cabins. Jack is skipping the next 15 cabins, so, in reality, you are adding 14 to 48.
A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs of the parabolas shown below. Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. Select all that apply. From x = -2 to x = 0, the average rate of change for both functions is negative For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. The quadratic function, y = x2 + 3, has an x-intercept at the origin The quadratic function, y = x2, has an x-intercept at the origin From x = -2 to x = 0, the average rate of change for both functions is positive For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.
Answer:
Step-by-step explanation:
From x = -2 to x = 0, the average rate of change for both functions is negative
The quadratic function, y = x2, has an x-intercept at the origin
For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.
those 3 are good
The quadratic function, y = x², has an x-intercept at the origin is, TRUE
And, The quadratic function, y = x² + 3, has an x-intercept at the origin is, FALSE
From x = -2 to x = 0, the average rate of change for both functions is positive is, FALSE
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, We have;
When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.
Hence, From x = -2 to x = 0, the average rate of change for both functions is negative is true.
And, Both are declining if you read the graph from left to right.
For the quadratic function, y = x², the coordinate (2, 3) is a solution to the equation of the function is false.
y = x²
If we insert 2 into y = x² we get y = 4 but our point (2, 3) has y = 3
For the quadratic function, y = x² + 3, the coordinate (2, 7) is a solution to the equation of the function is true.
If we insert 2 for x, we see that;
⇒ y = x² + 3
⇒ y = 2² + 3
⇒ y = 7
And, our y value in the point (2, 7) is 7.
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you will have amazing luck if you help me out trust
Answer:
x=29
Step-by-step explanation:
5x+30=175 because they are congruent
5x=145
x=29
Can anyone please help me?
HW HELP ASAPPP
+10PTS
Answer:
bruce
y = 1/4 x
Step-by-step explanation:
9 tiles per sq ft for felicia
so 1/9 sq ft per tile
so bruce covers more
Which statement about rational numbers is true?
O All rational numbers are fractions.
O Rational numbers never have repeating decimals.
O Some integers are not rational numbers.
O All fractions containing integers are rational nurnbers.
Look at pic and pls halp
wo mountain climbers start their climb at base camp, taking two different routes, one steeper than the other, and arrive at the peak at exactly the same time. Is it necessarily true that, at some point, both climbers increased in altitude at the same rate
Answer:
It is necessarily true necessary to increase the altitude at same rate
Step-by-step explanation:
According to questions the time take by both the climbers is same where as their distance traveled and velocity is different
Let time taken to complete the journey for both the climbers= t
therefore t = [tex]\frac{d_1}{v_1} = \frac{d_2}{v_2}[/tex] where
[tex]d_1[/tex] and [tex]d_2[/tex] is the distance traveled by climbers
[tex]v_1[/tex] and [tex]v_2[/tex] is the respective velocity of climbers
So, it is necessarily true necessary to increase the altitude at same rate as the time taken depends on the ratio of their respective altitude with velocity
The two climbers arrived at the top of the mountain at the same time hence both climbers increased in altitude at the same rate.
Mountain climbers are people who ascend mountains. Usually, mountain climbers use steep routes. The altitude covered depends on the rate at which the altitude is increased.
Since the two climbers arrived at the top of the mountain at the same time, it then follows that both climbers increased in altitude at the same rate.
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