Answer:
52 minutes
Step-by-step explanation:
This should be a proportional statement, because if each individual person painted there own wall it should still take 52 minutes.
Question
Given that cot(0)= -1/2
and O is in Quadrant II, what is sin(0)? Write your answer in exact form. Do not round.
Provide your answer below:
Answer:
sin(O) = 2/sqrt(5) or 2sqrt(1/5)
Step-by-step explanation:
using 1+cot^2(x) = csc^2(x)
we have, taking reciprocal on both sides,
sin(x) = 1/sqrt(1+cot^2(x)
= 1/sqrt(1+(-1/2)^2)
= 1/sqrt(5/4)
= 2/sqrt(5) or 2sqrt(1/5)
Since angle x is in the second quadrant, sin(x) is positive.
Find the missing length
Answer:
x = 25
Step-by-step explanation:
We have 2 similar triangles:
1) with hypotenuse 15 and short leg 9,
2) with hypotenuse x and short leg 15.
For similar triangles we can write a proportion for corresponding sides.
hypotenuse 1: leg1 = hypotenuse 2 : leg 2
15 : 9 = x : 15
9x = 15 * 15
x = 15*15/9
x = 25
Jenna drives on average 46 miles per day with a standard deviation of 5.3 miles per day. Suppose Jenna's miles driven per day are normally distributed. Let X = the number of miles driven in a given day. Then X - N(46, 5.3). If necessary, round to three decimal places.
Provide your answer below:
Suppose Jenna drives 41 miles on Monday. The Z-score when x - 41 is______ . The mean is________ This z-score tells you that x = 41 is________ standard deviations to the left of the mean.
Answer:
Suppose Jenna drives 41 miles on Monday. The Z-score when x - 41 is [tex]-0.943[/tex]. The mean is [tex]46[/tex] This z-score tells you that x = 41 is [tex]0.94[/tex] standard deviations to the left of the mean.
Step-by-step explanation:
From the question we are told that
The mean is [tex]\= x = 46\ miles / day[/tex]
The standard deviation is [tex]\sigma = 5.3 \ miles \ per \ day[/tex]
The value of = 41
Generally the z-score is mathematically represented as
[tex]z = \frac{x-\= x}{\sigma }[/tex]
substituting values
[tex]z = \frac{41-46}{5.3}[/tex]
[tex]z = - 0.943[/tex]
Which statements are true rega quadrilateral. ABCD? ABCD has congruent diagnals
Answer:
the first, second and last option are all correct
Step-by-step explanation:
just Googled and squares have congruent diagonals, and the definition of a rhombus is that all the sides and angles have to be equal and adjacent, and a square has those qualities, which would also make the last statement true.
a square have two pairs of parallel sides, making the fourth one incorrect
and a square is also a rectangle so the third one is wrong as well!! :)
Which inequality is represented by the graph?
Answer:
Step-by-step explanation:
the inequality represented by the graph is B
Plot the points
2x - 4/5y ≥ 3
y ≤ 2/5x - 3/2
x y
0 -3/2
15/4 0
A consumer magazine wants to compare lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each time and records the lifetimes (in minutes) in the table below. Do the data indicate that there is a difference in the mean lifetime for the three brands of ballpoint pens?
Answer:
The first step would be to look at the average for each brand.
The average can be calculated as:
A = (a1 + a2 + .... + an)/N
where a1 is the first lifetime, a2 is the second one, etc. And N is the total number of data points.
So, for Brand 1 we have:
A1 = (260 + 218 + 184 + 219)/4 = 220.25
Brand 2:
A2 = (181 + 240 + 162 + 218)/4 = 200.25
Brand 3:
A3 = (238 + 257 + 241 + 213)/4 = 237.25
So only from this, we can see that Brand 3 has the larger lifetime, then comes Brand 1 and last comes Brand 2.
Please answer this correctly without making mistakes
66.7
you will get the answer
Answer:
66.7
Step-by-step explanation:
The bicycle shop is 24.1 kilometers west of the train station meaning the distance between them is 24.1 kilometers.
The hardware store is 42.6 kilometers west of the bicycle shop meaning the distance between them is 42.6 kilometers.
Finally, you add both of the distances. (42.6 + 24.1)
You get the answer 66.7 kilometers.
Hope this helps!
A committee consists of 8 men and 11 women. In how many ways can a subcommittee of 3 men and 5 women be chosen?
Answer:
25872 ways
Step-by-step explanation:
We're choosing 5 women from a group of 11 and 3 men from a group of 8. We don't care about what order they are picked and so we'll use the combination formula, which is:
n!/(k!)(n-k)! with n as population and k as picks.
We'll multiply the results together. (8! / (3!)(8-3)!) * (11! / (5!)(11-5)!)
That equals: (8! / (3!)(5!) ) * (11! / (5!)(6!)) = 40320/(6x120) * 39916800/ (120x720)
56 * 462 = 25872
The organizer of a conference is selecting workshops to include. She will select from 9 workshops about anthropology and 5 workshops about psychology. In
how many ways can she select 7 workshops if more than 4 must be about anthropology?
Answer: She can select 7 workshops if more than 4 must be about anthropology in 1716 ways.
Step-by-step explanation:
Given, The organizer of a conference is selecting workshops to include. She will select from 9 workshops about anthropology and 5 workshops about psychology.
If he select 7 workshops if more than 4 must be about anthropology, the possible combinations = (5 anthropology, 2 psychology), ( 6 anthropology, 1 psychology), (7 anthropology, 0 psychology)
Number of possible combinations = [tex]^9C_5\times ^5C_2+^9C_6\times ^5C_1+^9C_7\times ^5C_0[/tex]
[tex]=\dfrac{9!}{5!4!}\times\dfrac{5!}{2!3!}+\dfrac{9!}{6!3!}\times(5)+\dfrac{9!}{7!2!}\times (1)\\\\=\dfrac{9\times8\times7\times6}{4\times3\times2\times1}\times\dfrac{5\times4}{2}+\dfrac{9\times8\times7}{3\times2\times1}\times5+\dfrac{9\times8}{2}\\\\=1260+420+36\\\\=1716[/tex] [using formula for combinations [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]]
Hence, she can select 7 workshops if more than 4 must be about anthropology in 1716 ways.
4. Starcraft 2 player Serral won 36 out of his last 45 matches in high-level play. Continuing with that level of competition, where each match ends in a win or a loss, answer the following queries. (a) If Serral is scheduled to play exactly 6 games, what is the probability that Serral will lose at most 2 games. (b) If the venue instead has players keep playing until their first loss, what is the probability that Serral will have a win streak of at least 4 games
Answer:
Starcraft
a) Probability of losing at most 2 games = 33%
b) Probability of winning at least 4 games = 67%
Step-by-step explanation:
a) To lose 2 out of 6 games, the probability is 2/6 x 100 = 33.333%
b) To win at least 4 games out of 6, the probability is 4/6 x 100 = 66.667%
c) Since Serral is playing 6 games, for her to lose at most 2 of the games is described as a probability in this form 2/6 x 100. This shows the chance that 2 of the games out of 6 could be lost by Serral. On the other hand, the probability of Serral winning at least 4 of the 6 games is given as 4/6 x 100. It implies that there is a chance, 4 out of 6, that Serral would win the game.
all summer olympics championship distamces in the triple jump from 1896 through 2012 avereged 16.38 meters, with standard deviation of 1.34 meters. what is the probability that a randomly selected distance from the distribution would fall into each of the following intervals 16.8 meters and 17.9 meters?
Answer: 0.2487
Step-by-step explanation:
Given: Mean: [tex]\mu=16.38[/tex] meters
Standard deviation: [tex]\sigma= 1.34[/tex] meters
Let X denote the distance in the triple jump.
The probability that a randomly selected distance from the distribution would fall into interval 16.8 meters and 17.9 meters = [tex]P(16.8<X<17.9)=P(\dfrac{16.8-16.38}{1.34}<\dfrac{X-\mu}{\sigma}<\dfrac{17.9-16.38}{1.34})[/tex]
[tex]=P(0.3134<Z<1.1343)\ \ \ [Z=\dfrac{X-\mu}{\sigma}]\\\\=P(Z<1.1343)-P(Z<0.3134)\\\\=0.8717- 0.6230\ [\text{By z-table}]\\\\=0.2487[/tex]
Hence, the probability that a randomly selected distance from the distribution would fall into interval 16.8 meters and 17.9 meters= 0.2487
Which of the following is NOT true of correcting poor decisions?
А. Correcting a poor decision can be difficult
B Correcting a poor decision will allow you to feel better in the long run.
C Correcting a poor decision helps in taking responsibility for actions.
D Correcting a poor decision will make you more popular in school.
Which inequality is equivalent to this one? y minus 8 less-than-or-equal-to negative 2 y minus 8 + 8 greater-than-or-equal-to negative 2 + 8 y minus 8 + 8 less-than negative 2 + 8 y minus 8 + 2 less-than-or-equal-to negative 2 + 8 y minus 8 + 2 less-than-or-equal-to negative 2 + 2
Answer:
d. y minus 8 + 2 less-than-or-equal-to negative 2 + 2
Step-by-step explanation:
Which inequality is equivalent to this one?
y minus 8 less-than-or-equal-to negative 2
y minus 8 + 8 greater-than-or-equal-to negative 2 + 8
y minus 8 + 8 less-than negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 8
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
Take the last option:
y minus 8 + 2 less-than-or-equal-to negative 2 + 2
remove the +2 on each side to get
y minus 8 less-than-or-equal-to negative 2
Answer:
[tex]\boxed{y - 8 + 2\leq - 2 + 2}[/tex]
Step-by-step explanation:
Which inequality is equivalent to this one:
[tex]y - 8 \leq - 2[/tex]
[tex]y - 8 + 8\geq - 2 + 8[/tex]
[tex]y - 8 + 8< - 2 + 8[/tex]
[tex]y - 8 + 2 \leq - 2 + 8[/tex]
[tex]y - 8 + 2\leq - 2 + 2[/tex]
Let’s take the last inequality.
[tex]y - 8 + 2\leq - 2 + 2[/tex]
Subtract 2 on both sides.
[tex]y - 8 + 2-2\leq - 2 + 2-2[/tex]
[tex]y - 8 \leq - 2[/tex]
The inequality is equivalent.
Verify that the following function is a cumulative distribution function.
f(x) =
0 x < 1
0.5 1 < x < 3
1 3 < x
Round your answers to 1 decimal place (e.g. 98.7). Determine:
1) P(x < 3) =
2) P(x < 2) =
3) P(1 < x < 2) =
4) P(x > 2) =
Answer:
Following are the answer to this question:
Step-by-step explanation:
In the given equation there is mistyping so, correct equation and its calculation can be defined as follows:
Given:
[tex]f(x) =\left\begin{array}{cc} 0&x< 1\\0.5& 1 < x<3\\ 1&3 < x\end{array}\right[/tex]
Calculated value:
[tex]1) \ \ P(x < 3) =1\\\\2) \ \ P(x < 2) = 1-0.5 \\[/tex]
[tex]= 0.5[/tex]
[tex]3) P(1 < x < 2) = P( x< 2) -p(x< 1)\\\\[/tex]
[tex]=0.5-0\\=0.5\\[/tex]
[tex]4) \ \ P(x> 2)= 1-P(x<2)[/tex]
[tex]=1-0.5\\=0.5\\[/tex]
That's why the given equation is true.
The probabilities are:
[tex]1. \:P(x < 3) =1\\2.\: P(x < 2) = 0.5\\3.\: P(1 < x < 2) = 0.5\\4.\: P(x > 2) = 0.5[/tex]
Given function is:
[tex]\[ f(x)= \begin{cases} 0, \: \text{x}< 1\\ 0.5, \: 1 < x < 3\\1, \: x \geq 3\end{cases}\][/tex]
Verification that f(x) is Cumulative distribution function:
1. Since for x > 3, f(x) = 1, thus we have [tex]\lim_{x \to \infty} f(x) = 1[/tex]
2. Since for x < 1, f(x) = 0, thus we have [tex]\lim_{x \to -\infty} f(x) = 0[/tex]
3. Since values of f(x) are not decreasing as x is increasing, thus f(x) is non decreasing.
4. f(x) is right continuous too.
Thus f(x) is a cumulative distribution function.
The Probabilities are calculated as follows:
[tex]1. \:P(x < 3) = f(3) =1\\2.\: P(x < 2) = f(2) = 0.5\\3.\: P(1 < x < 2) = P(x < 2) - P(x < 1)= 0.5 - 0 = 0.5\\4. \: P(x > 2) = 1 - P(x < 2 \: and \: x = 2) = 1 - 0.5 = 0.5[/tex]
Learn more here:
https://brainly.com/question/19884447
Find the first four terms of the sequence given a1=31 and an+1=an−3
Step-by-step explanation:
Given the formula
a(n+1)=an−3
The first term a(1) = 31
For the second term
a(2)
We have
a( 1 + 1) = a(1) - 3
a(2) = 31 - 3
a(2) = 28
For the third term
a(3)
We have
a(2+1) = a(2) - 3
a(3) = 28 - 3
a(3) = 25
For the fourth term
a(4)
That's
a(3+1) = a(3) - 3
a(4) = 25 - 3
a(4) = 22
Hope this helps you
When josh borrowed money, he originally agreed to repay the loan by making three equal payments of $1500, with a payment due now, another payment due two years from now, and the final payment due four years from now. Instead of the original payments, he plans to pay off the loan by making a single payment of 5010. If interest is 10%, compounded annually, when will he make the single payment?
Answer:
5 years
Step-by-step explanation:
Principal Amount to be paid=$4500
Interest rate = 2%
Number if Times compounded= number of years
Number of years = x
Among total= $5010
A= p(1+r/n)^(nt)
But n= t =x
A= p(1+r/x)^(x²)
5010=4500(1+0.02/x)^(x²)
5010/4500 = (1+0.02/x)^(x²)
1.11333=( 1+0.02/x)^(x²)
Using trial and error method the number of years maximum to give approximately $5010 is 5 years
Help !! Please I don’t know lol
6th grade math, help me please.
Answer:
B Kim rode 3 more miles per week than Eric rode.
15x - 30 x 0 + 40 = 89
Answer:
x = 49/15
Step-by-step explanation:
15x - 30 x 0 + 40 = 89 PEMDAS
15x + 40 = 89 Isolate the variable
15x = 49
x = 49/15
━━━━━━━☆☆━━━━━━━
▹ Answer
x = 49/15 or 3 4/15 or 3.26
▹ Step-by-Step Explanation
15x - 30 * 0 + 40 = 89
15x - 0 + 40 = 89
15x + 40 = 89
15x = 89 - 40
15x = 49
x = 49/15 or 3 4/15 or 3.26
Hope this helps!
CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
What is the height of the cone?
Answer:
it is the inches milimeters meters
Answer:
9 cmStep-by-step explanation:
Given,
Volume of cone ( v ) = 27 π
Radius ( r ) = 3 cm
Height of cone ( h ) = ?
Now, let's find the height of cone:
Volume of cone = [tex] \frac{\pi {r}^{2}h }{3} [/tex]
plug the values
[tex]27\pi = \frac{\pi \: {3}^{2} \: h \: }{3} [/tex]
Evaluate the power
[tex]27\pi = \frac{\pi \times 9 \times h}{3} [/tex]
Divide 9 by 3
[tex]27\pi = 3\pi \: h[/tex]
Divide both sides of the equation by 3π
[tex] \frac{27\pi}{3\pi} = \frac{3\pi \: h}{3\pi} [/tex]
Calculate
[tex]9 = h[/tex]
Swipe the sides of the equation
[tex]h = 9[/tex] cm
Hope this helps..
Best regards!!
What are the solutions to the system of equations graphed below?
Answer:
Its B and D
Step-by-step explanation:
Because thats where the points intersects/meet.
Help please! Your effort is appreciated!
Answer:
[tex]a^1[/tex]
Step-by-step explanation:
We want to rewrite [tex]\frac{a * a * a * a * a * a * a}{a * a * a* a * a * a}[/tex] in index form. That is:
[tex]\frac{a * a * a * a * a * a * a}{a * a * a * a * a * a} = \frac{a^7}{a^6}\\ \\= a^{7 - 6}\\\\= a^1[/tex]
where n = 1
Consider a sample with a mean of 60 and a standard deviation of 5. Use Chebyshev's theorem to determine the percentage of the data within each of the following ranges (to the nearest whole number).
a. 50 to 70, at least %
b. 35 to 85, at least %
c. 51 to 69, at least %
d. 47 to 73, at least %
e. 43 to 77, at least %
Answer:
a)75%
b)96%
c)69.4%
d)85.2%
e)91.3%
Step by step explanation:
Given:
Mean=60
Standard deviation= 5
We were told to use chebyshev's theorem.to determine the percentage of the above given data within each of the following ranges
CHECK THE ATTACHMENT FOR DETAILED EXPLANATION.
Of 118 randomly selected adults, 34 were found to have high blood pressure. Construct a 95% confidence interval for the true percentage of all adults that have high blood pressure. Construct a confidence interval for the population proportion p.
Answer:
The confidence interval is [tex]0.20644 < p <0.36984[/tex]
Step-by-step explanation:
From the question we are told that
The sample is n = 118
The confidence level is C = 95 %
The number of people with high blood pressure is k = 34
The proportion of those with high blood pressure is evaluated as
[tex]\r p = \frac{k}{n}[/tex]
substituting values
[tex]\r p = \frac{34}{118}[/tex]
[tex]\r p = 0.288136[/tex]
Given that the confidence level is 95% then the level of significance is evaluated as
[tex]\alpha = 100 -95[/tex]
[tex]\alpha = 5[/tex]%
[tex]\alpha = 0.05[/tex]
Now the critical values of [tex]\frac{\alpha }{2}[/tex] obtained from the normal distribution table is [tex]Z_{\frac{\alpha }{2} } = 1.96[/tex]
The reason we are obtaining values for is because is the area under the normal distribution curve for both the left and right tail where the 95% interval did not cover while is the area under the normal distribution curve for just one tail and we need the value for one tail in order to calculate the confidence interval
Now the margin of error is evaluated as
[tex]MOE = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1- \r p)}{n} }[/tex]
substituting values
[tex]MOE = 1.96 * \sqrt{\frac{ 0.288136 (1- 0.288136)}{118} }[/tex]
[tex]MOE = 0.0817[/tex]
Thus the 95% confidence interval for the true percentage of all adults that have high blood pressure is evaluated as
[tex]\r p - MOE < p < \r p + MOE[/tex]
substituting values
[tex]0.288136 - 0.0817 < p <0.288136 + 0.0817[/tex]
[tex]0.20644 < p <0.36984[/tex]
6. Jessica bought a new suitcase. The sales tax was 4.5%. If the amount of
tax was $6.93, what was the cost of the suitcase? *
Answer:
$ 154
Step-by-step explanation
Let the value of suitcase=x
x × 4.5% = 6.93 (converted the question into equation)
x × [tex]\frac{4.5}{100}[/tex] = 6.93 (converted the percentage into fraction)
x = 6.93 x [tex]\frac{100}{4.5}[/tex] (took reciprocal of 4.5/100 after moving it to the other side of the equation)
x = [tex]\frac{693}{4.5}[/tex] (multiplied the values)
x = 154 $ (simplified the fraction)
make it the brainliest and get 20 years of luck : )
Answer:
We also know that the cost for the tax is 6.93 and we can set up the following proportion rule:
[tex]\frac{x}{100} =\frac{6.93}{4.5}[/tex]
And for this case the value of x represent the cost of the suitcase and solving we got:
[tex]x= 100 \frac{6.93}{4.5}= 154[/tex]
Step-by-step explanation:
Let x the original cost and we also knwo that the tax is 4.5%.
We also know that the cost for the tax is 6.93 and we can set up the following proportion rule:
[tex]\frac{x}{100} =\frac{6.93}{4.5}[/tex]
And for this case the value of x represent the cost of the suitcase and solving we got:
[tex]x= 100 \frac{6.93}{4.5}= 154[/tex]
Compare the following pairs of decimals. Use to indicate their relationship. a. 0.7 _______ 0.52 b. .52 _______ .045 c. 0.49 _______ 0.94 d. 0.302 _______ .23 e. 0.9 _______ 0.6 f. 2.36 _______ 3.19
Answer:
a)0.7 is greater than>0.52
b)0.52 is greater than>0.045
c)0.49 is less than<0.94
d)0.302 is greater than>0.23
e)0.9 is greater than>0.6
f)2.36 is less than<3.19
Alex : Hey Bob, I think this coin is biased; I flipped it a few times and it always lends Tail. I think p, the probability of landing Head, must be less than 5%. Can you take a look?
Bob: Seriously? I bet it's fair, that is I think p = 1/2. Let me flip it three times and count the number of Heads. If the number of Heads is smaller than some threshold t, then I will buy you dinner. Otherwise, you will buy me dinner.
Alex: Wow Bob, okay! I will go ahead and reserve a fancy restaurant.
Bob: One last thing, though, just to make things fair: pick any t you want, but let's keep the proba- bility that I buy you dinner even if I'm right (that is, even if the truth is p= 1/2) below 10% please.
Alex: Go away, Bob! Stop wasting my time!
Question: why did Alex get mad?
Answer:
See below
Step-by-step explanation:
Alex finally understands how Bob was trying to trick him into winning the bet because of how he puts in the condition for probability being less than 10%. Whichever way the outcome of the coin toss turns out to be, it will be in Bob's favor and Alex will lose the bet. If the coin is flipped 3 times, the probability of having heads exactly twice is [tex]\frac{4}{9}[/tex]
Zoey wants to use her iPad throughout a 6-hour flight. Upon takeoff, she uses the iPad for 2 hoursand notices that the battery dropped by 25%, from 100% to 75%. How many total hours can Zoeyexpect from the iPad on a full battery charge?
Answer:
8 hours
Step-by-step explanation:
25%= 2 hrs
100%=8 hrs
brainliest plsssssssssssssssssssss
-zylynn
Which transformation should be applied to the graph of the function y=cot(x) to obtain the graph of the function y=6 cot(3x-pi/2)+4
Answer:
The correct answer is the first one.
Step-by-step explanation:
Let's analyse the effect of each modification in the function.
The value 6 multiplying the cot function means a vertical stretch.
The value of 3 multiplying the x inside the function is a horizontal compression, which causes the period to be 3 times lower the original period.
The original period of the cotangent function is pi, so the horizontal compression will make the period be pi/3.
The value of -pi/2 inside the cotangent function normally causes a horizontal shift of pi/2 to the right, but the x-values were compressed by a factor of 3 (horizontal stretch), so the horizontal shift will be 3 times lower: (pi/2) /3 = pi/6
And the value of 4 summing the whole equation is a vertical shift of 4 units up.
So the correct answer is the first one.
Answer:
option 1
Step-by-step explanation:
Brainliest for the correct awnser!! Multiply each side by the common denominator to find the quadratic equation equivalent to this equation.
Answer:
B.
Step-by-step explanation:
You can cross multiply or multiply by the common denominator. The common denominator in this case is [tex]5\cdot x=5x[/tex]
[tex]5x(\frac{6}{x})=5x(\frac{2x+4}{5})[/tex]
[tex]30=2x^2+4x[/tex]
[tex]2x^2+4x-30=0[/tex]
Note that [tex]x\neq 0[/tex]
Answer:
B
Step-by-step explanation:
Well the common denominator of 5 and x is 5*x=5x.
[tex]5x(\frac{6}{x} )=5x(\frac{2x+4}{5} )\\\\30=2x^{2} +4x\\\\2x^2+4x-30=0[/tex]