to change unit from feet to cm just divide the length value by 30.48......
What is the probability of flipping exactly 6 heads when you flip 6 coins? Please explain your answer and those who waste an answer space shall be reported. Also the best answer will get brainliest
Binomial probability states that the probability of x successes on n repeated trials in an experiment which has two possible outcomes can be obtained by
(nCx).(p^x)⋅((1−p)^(n−x))
Where success on an individual trial is represented by p.
In the given question, obtaining heads in a trial is the success whose probability is 1/2.
Probability of 6 heads with 6 trials = (6C6).((1/2)^6).((1/2)^(6–6))
= 1/(2^6)
= 1/64
Michael is cutting logs. He has 3 logs. Michael will cut each log by. Determine the
number pieces of wood that Michael will have.
Answer:
Micheal will have 6 logs.
Step-by-step explanation:
Each log will divide into two pieces,so.
3×2= 6
(7/8*9)*3/4*(9/3*5)=
Answer:
2835/32 or 88 19/32Step-by-step explanation:
(7/8 × 9) × 3/4 × (9/3 × 5)= 63/8 × 3/4 × (3 × 5)= 63/8 × 3/4 × 15= 2835/32 or 88 19/32[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Answer:
[tex]88 \frac{19}{32} [/tex]
Natalie Jenny, Steve and Jatin paid $12 for their taxi. They shared this equally between them. What fraction did each pay?
Answer:
1/4
Step-by-step explanation:
12/4= 3
Each paid $3 but as a fraction 3/12=1/4
Answer:
[tex] \frac{1}{4} [/tex]
Step-by-step
12÷4=3
3/12=1/4-each pay this fraction
For the experiment of rolling a single fair die, find the probability of obtaining not greater than 5
Answer:
4/6
Step-by-step explanation:
Just a guess
b) 104 : {559 + (7 · 3)3 : [(4 · 52)2 : 500 + 1]}.
Answer:
-59,844,616
563,576
Step-by-step explanation:
it is very simple bro
Given $f(x) = \frac{\sqrt{2x-6}}{x-3}$, what is the smallest possible integer value for $x$ such that $f(x)$ has a real number value? Please show steps. Thank you!
(I rewrote the question without the symbols, they are the same question)
Given f(x) = {2x-6}/{x-3}, what is the smallest possible integer value for x such that f(x) has a real number value? Thank you!
===========================================================
Explanation:
The given function is
[tex]f(x) = \frac{\sqrt{2x-6}}{x-3}[/tex]
which is the same as writing f(x) = ( sqrt(2x-6) )/(x-3)
The key for now is the square root term. Specifically, the stuff underneath. This stuff is called the radicand.
Recall that the radicand cannot be negative, or else the square root stuff will result in a complex number. Eg: [tex]\sqrt{-4} = 0+2i[/tex]
The question is basically asking: what is the smallest x such that [tex]\sqrt{2x-6}[/tex] is a real number?
Well if we made 2x-6 as small as possible, ie set it equal to 0, then we can find the answer
[tex]2x-6 = 0\\\\2x = 6\\\\x = 6/2\\\\x = 3\\\\[/tex]
I set the radicand equal to 0 because that's as small as the radicand can get (otherwise, we're dipping into negative territory).
So 2x-6 set equal to 0 leads to x = 3.
This means x = 3 produces the smallest radicand (zero) and therefore, it is the smallest allowed x value for that square root term.
But wait, if we tried x = 3 in f(x), then we get...
[tex]f(x) = \frac{\sqrt{2x-6}}{x-3}\\\\f(3) = \frac{\sqrt{2*3-6}}{3-3}\\\\f(3) = \frac{\sqrt{0}}{0}\\\\[/tex]
which isn't good. We cannot have 0 in the denominator. Dividing by zero is not allowed. The result is undefined. It doesn't even lead to a complex number. So we'll need to bump x = 3 up to x = 4. You should find that x = 4 doesn't make the denominator 0.
----------------
In short, we found that x = 3 makes the square root as small as possible while staying a real number, but it causes a division by zero error with f(x) overall. So we bump up to x = 4 instead.
A certain marathon has had a wheelchair division since 1977. An interested fan wondered who is faster: the men's marathon winner or the women's wheelchair marathon winner, on average. A paired t-test was performed on data from a random selection of 15 of the marathons to determine if there was evidence to indicate that the women's winning wheelchair time is faster than the men's winning running time, on average. What must be true about the population of differences in the women's wheelchair winning times and men's winning times at this marathon for conclusions from the paired t-test to be valid? Choose the correct answer below. A. The distribution of sample means of the differences will be approximately normal if there are at least 30 years of data in the sample and/or if the population of differences in winning times for all years is normal. B. Because there were at least 5 years of observations, the distribution of sample means of the differences will be approximately normal by the Central Limit Theorem. C. Because the sample size is large enough, the distribution of differences for all years will be normal. D. Because of the small sample size of differences in winning times between the women's wheelchair winner and the men's running winner, the distribution of sample means of the differences cannot be normal.
Answer:
A. The distribution of sample means of the differences will be approximately normal if there are at least 30 years of data in the sample and/or if the population of differences in winning times for all years is normal.
Step-by-step explanation:
In other to perform a valid paired test, one of the conditions required is that, data for both groups must be approximately normal. To attain normality, the population distribution for the groups must be normal or based on the central limit theorem, the sample size must be large enough, usually n > 30. Hence, once either of the two conditions are met, the paired sample will be valid.
anyone know the answers for the final exam for part one of algebra 2 on edg?
Answer:
just show the questions i will help
Step-by-step explanation:
Which rules of exponents will be used to evaluate the expression. Check all that apply.
[
1791
quotient of powers
product of powers
power of a power
power of a product
negative exponent
zero exponent
Answer:
product of power
Step-by-step explanation:
I think this will help you
Which of the following is correctly written in Standard Form? −3x + 7y = 12, y = 3/7x + 6 ,5x − 4y = 9 ,3/7x + 2y =9
Give the degree of the polynomial. -5-5x2wy4-y4x2-4w3
9514 1404 393
Answer:
7
Step-by-step explanation:
The degree of each term is the sum of the degrees of the variables in it.
Term, Degrees
-5, 0
-5x^2wy^4, x:2, w:1, y:4 -- term degree = 2+1+4 = 7
-y^4x^2, y:4, x:2 -- term degree = 4+2 = 6
-4w^3, w:3 -- term degree = 3
The highest of these is 7, so the degree of this polynomial is 7.
__ (5 + 4) = 2 * 5 + 2 * 4
PLEASE EXPLAIN HOW YOU GOT THE ANSWER
Answer:
x = 2
Step-by-step explanation:
→ Simplify
x × ( 9 ) = 10 + 8
→ Further simplify
9x = 18
→ Divide both sides by 9
x = 2
Which function has a domain and range that includes all real values?
Answer:
the third one
the line extends in both ways forever
Write a situation that can be represented by 2x + 6 > 20.
Hm, interesting inequality.
If you know that it slightly simplifies to [tex]2x\gt14[/tex] then you could go about representing something in real life,
Buying shoes is always done in pairs, if u buy two pairs of shoes you bought 4 shoes. You can only ever buy an even number of shoes which is represented by [tex]2x[/tex].
So you are asking yourself how many pairs you had to buy in order to have more than 14 shoes. The answer is of course, 7 pairs means exactly 14 shoes but since you need more the answer is 8 pairs. Represented by,
[tex]x\gt7=\{8,9,10,\dots,\aleph_0\}[/tex]
assuming [tex]x\in\mathbb{N}[/tex], which is appropriate since you cannot buy negative shoe or [tex]0.43819[/tex] of a shoe pair.
However, if you cannot change the inequality at all, you can use the above paragraph but simply add, you have 3 pairs (6 shoes) of shoes that are indispensable and you want to know the minimum number of shoe pairs you need to buy so that you always have more than 20 shoes.
Notes
[tex]\aleph_0[/tex] is the number of natural numbers [tex]\mathbb{N}[/tex] there are.
[tex]\{\dots\}[/tex] is explicit set notation, ie. which values concretely satisfy the inequality.
Hope this helps :)
Answer:
= 2x > 20-6
= 2x > 14
= x > 7... then the answer includes the numbers greater than seven
whats the value of 5 in the product of 6,541 x 100
Answer:
50,000
Step-by-step explanation:
The product would be 654,100. Replace the other numbers to find the value of 5. The value of 5 is 050,000 or 50,000.
I hope this helps!
(3x - 2)^5 =(3x - 2)^2
Answer:
x=3/2,1
Step-by-step explanation:Given
(3x-2)ˆ5-(3x-2)ˆ2=0
(3x-2)ˆ3(3x-2)ˆ2-(3x-2)ˆ2=0
(3x-2)ˆ2{(3x-2)ˆ3-1}=0
(3x-2)ˆ2=0 Or (3x-2)ˆ3-1=0
3x-2=0 Or(3x-2)ˆ3=1
x=3/2 Or 3x-2=1, x=1
Consider the probability that at most 85 out of 136 DVDs will work correctly. Assume the probability that a given DVD will work correctly is 52%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
Answer:
Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the necessary conditions are satisfied.
0.9945 = 99.45% probability that at most 85 out of 136 DVDs will work correctly.
Step-by-step explanation:
Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.
It is needed that:
[tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Assume the probability that a given DVD will work correctly is 52%.
This means that [tex]p = 0.52[/tex]
136 DVDs
This means that [tex]n = 136[/tex]
Test the conditions:
[tex]np = 136*0.52 = 70.72 \geq 10[/tex]
[tex]n(1-p) = 136*0.48 = 65.28 \geq 10[/tex]
Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the necessary conditions are satisfied.
Mean and standard deviation:
[tex]\mu = E(X) = np = 136*0.52 = 70.72[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{136*0.52*0.48} = 5.83[/tex]
Consider the probability that at most 85 out of 136 DVDs will work correctly.
Using continuity correction, this is [tex]P(X \leq 85 + 0.5) = P(X \leq 85.5)[/tex], which is the p-value of Z when X = 85.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{85.5 - 70.72}{5.83}[/tex]
[tex]Z = 2.54[/tex]
[tex]Z = 2.54[/tex] has a p-value of 0.9945.
0.9945 = 99.45% probability that at most 85 out of 136 DVDs will work correctly.
Use the given conditions to write an equation for each line in point-slope form and slope-intercept form.
Slope= 1/3, passing through the origin.
Answer:
y = 1/3x y - 0 = 1/3 (x - 0)
Step-by-step explanation:
slope intercept: y = 1/3x
point slope: y - 0 = 1/3 (x - 0)
Complete the coordinate table for the given equation.
Xy=-4
Step-by-step explanation:
X= -4,-2,2,4 (respectively)
Y=4,-4 (respectively)
hope it helps
Which of the following is the graph of f(x)−1?
Answer:
was assigned with this problem (the reference text is attached):
Which of the following, if included in a student's paper, would NOT be an example of plagiarism?
1. In the game of baseball, which is rather boring, the batter stands on home base (Hughes 1).
2. Baseball is rather surprisingly known as "America's Favorite Pastime."
3. Baseball is "a rather boring sport played between two teams of nine players" (Hughes 1).
4. All of these are plagiarism.
The answer tells that only the third choice is NOT a plagiarism. My question is, why is the first choice a plagiarismwas assigned with this problem (the reference text is attached):
Which of the following, if included in a student's paper, would NOT be an example of plagiarism?
1. In the game of baseball, which is rather boring, the batter stands on home base (Hughes 1).
2. Baseball is rather surprisingly known as "America's Favorite Pastime."
3. Baseball is "a rather boring sport played between two teams of nine players" (Hughes 1).
4. All of these are plagiarism.
The answer tells that only the third choice is NOT a plagiarism. My question is, why is the first choice a plagiarism
Please help! I will give you a lot of points if you do and the brainiest!
Answer:
First truth table:
~q p V ~q ~(p V ~q)
F T F
T T F
F F T
T T F
Second truth table:
~q p V ~q ~(p V ~q)
F T F
Step-by-step explanation:
The ~ operator is a negator (or NOT), such that it is the opposite of the sign.
The first column wants the negation of [tex]q[/tex], and the values of q are
T, F, T, F, for the columns starting from the top. The negation for the columns are F, T, F, T.
For the second column, The 'V' operator is the OR operator, so a single True, or T will result in a True.
For the first row, not q is F, and T OR F will result in T.
For the second row, not q is T, and T OR T will result in T.
For the third row, not q is F, and F OR F will result in F.
For the fourth row, not q is T, and F OR T will result in T.
In the last column, we must figure out not p OR not q, which we did in the last column, so all we must do is figure out the NOT of values of the last column.
The values of the last column are T, T, F, T, respectively, so the not of the columns will be F, F, T, F.
In the bottom truth table, not q, will be F because the value of q is T. The second column wants p OR not q, and we already know that not q is F, and the value of p is T. T OR F is equal to T. In the last column, the question wants the not of p OR not q, which we did in the last column, so we must figure out the not value of the last column, which is T. The not of T is F.
Find the slope of a line parallel to a line with a slope of m = 1/3
Answer:
1/3
Step-by-step explanation:
Parallel lines have the same slope. Thus, a line parallel to one with a slope of 1/3 is just 1/3.
The function y=-16r^2+38 represents the height y (in feet) of a water droplet t seconds after falling from an icicle. After how many seconds does the water droplet hit the ground? Round your answer to two decimal places. A second water droplet falls from a height of 41 feet. After how many seconds does that water droplet hit the ground? Round your answer to one decimal place.
Answer:
The first droplet will hit the ground after about 1.54 seconds.
The second droplet will hit the ground after about 1.6 seconds.
Thus, the first hits the ground first.
Step-by-step explanation:
We are given the function:
[tex]y=-16r^2 + 38[/tex]
Which represents the height y in feet of a water droplet t seconds after falling from an icicle.
Part A)
We want to find the time it took for the water droplet to hit the ground.
When it hit the ground, its height y above ground will be zero. Therefore, we can let y = 0 and solve for r:
[tex]0=-16r^2+38[/tex]
Subtract 38 from both sides:
[tex]-38 = -16 r^2[/tex]
Divide:
[tex]\displaystyle r^2 = \frac{38}{16} = \frac{19}{8}[/tex]
And take the principal square root of both sides:
[tex]\displaystyle r= \sqrt{\frac{19}{8}} = \frac{\sqrt{38}}{4} \approx1.54\text{ seconds}[/tex]
So, the first water droplet hits the ground after about 1.54 seconds.
Part B)
We want to determine how long it will take for a water droplet to hit the ground from a height of 41 feet.
From the original equation, if r = 0, then y = 38. So, the initial height was 38 feet.
Then we can modify the function into:
[tex]y= -16r^2 + 41[/tex]
In this case, when r = 0, the starting height y is 41 feet.
Again, let y = 0 and solve for r:
[tex]0 = -16r^2 + 41[/tex]
Isolate:
[tex]\displaystyle r^2 = \frac{41}{16}[/tex]
And take the principal square root of both sides:
[tex]\displaystyle r = \sqrt{\frac{41}{16}} = \frac{\sqrt{41}}{4} \approx 1.6\text{ seconds}[/tex]
So, the second drop will hit the ground after approximately 1.6 seconds.
And in conclusion, the first drop will hit the ground sooner (as expected).
Solve for x, the triangles are similar
Answer:
8
Step-by-step explanation:
32 / 24 = 2x / 12
8 / 6 = x / 6
x = ( 8 x 6 ) / 6
= 8 x 1
x = 8
Make
x
the subject of the formula
x
+
4
=
q
Answer:
x = q-4
Step-by-step explanation:
x+4 = q
Subtract 4 from each side
x+4-4 = q-4
x = q-4
Answer:
x + 4
Step-by-step explanation:
x + 4 = q
4 = x + q
4 = x
x + 4
Write as an algebraic expression: *20% of 75% of y
Answer:
0.15y
Step-by-step explanation:
0.2*0.75*y = 0.15y
If a household appliance has a wattage of 1,892 and is in use for 5, how much CO2 was produced? Round to 1 decimal.
Answer:
Step-by-step explanation:
dude what class?
If it takes 5 years for an animal population to double, how many years will it take until the population
triples?
9514 1404 393
Answer:
7.92 years
Step-by-step explanation:
We want to find t such that ...
3 = 2^(t/5)
where 2^(t/5) is the annual multiplier when doubling time is 5 years.
Taking logs, we have ...
log(3) = (t/5)log(2)
t = 5·log(3)/log(2) ≈ 7.92 . . . years
It will take about 7.92 years for the population to triple.
Need help is this right or what is the right answer
Answer:
A
Step-by-step explanation:
the answer is A and not C. equation in form of y=mx+b
so start off by (0,2) and you can see the graph go by 1 x and 1 y.
C=n+2
Answer:
A
Step-by-step explanation:
its starting point is 2 up to +2 and it goes up at out by 1 so n also ik this was already answered but i want the brainly points