Answer:
hello :- 9/7 and 3/8
Step-by-step explanation:
y = 6(7x + 9)(8x – 3)
y=0 means : 7x+9=0 or 8x-3=0
7x = -9 or 8x=3
x= - 9/7 or x= 3/8
Answer:
-9/7, 3/8
Step-by-step explanation:
The zeroes can be found in the parenthesis.
You need to set each parenthesis to zero first.
7x+9=0
subtract 9
7x=-9
divide 7
x=-9/7
For 8x-3=0
add the 3
8x=3
divide the 8
x=3/8
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]
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
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.
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]
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
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.
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
Change 3Y - 2X = -6 to the slope-intercept form of the equation of a line.
Answer:
y = 2/3x -2
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
3y -2x = -6
Solve for y
Add 2x to each side
3y = 2x-6
Divide by 3
3y/3 = 2x/3 -6/3
y = 2/3x -2
Copy the problem, mark the givens in the diagram, and write a Statement/Reason proof. Given: MN ≅ MA ME ≅ MR Prove: ∠E ≅ ∠R
Answer:
Step-by-step explanation:
Given: MN ≅ MA
ME ≅ MR
Prove: ∠E ≅ ∠R
From the given diagram,
YN ≅ YA
EY ≅ RY
<EMA = <RMN (right angle property)
EA = EY + YA (addition property of a line)
NR = YN + RY (addition property of a line)
EA ≅ NR (congruent property)
ΔEMA ≅ ΔRMN (Side-Side-Side, SSS, congruence property)
<MNR ≅ MAE (angle property of congruent triangles)
Therefore,
<E ≅ <R (angle property of congruent triangles)
let f(x) = 2x^2 + x - 3 and g(x) = x+ 2. Find (f • g) (x)
Answer:
(f • g) (x) = 2x² + 9x + 7Step-by-step explanation:
f(x) = 2x² + x - 3
g(x) = x + 2
To find (f • g) (x) substitute g(x) into every x in f (x)
That's
(f • g) (x) = 2(x + 2)² + x + 2 - 3
Expand and simplify
(f • g) (x) = 2( x² + 4x + 4) + x - 1
= 2x² + 8x + 8 + x - 1
Group like terms
= 2x² + 8x + x + 8 - 1
We have the final answer as
(f • g) (x) = 2x² + 9x + 7Hope this helps you
Change -Y + 2X = 4 to the slope-intercept form of the equation of a line.
Answer:
y=2x-4
Step-by-step explanation:
Add -2x to both sides.
-y=-2x+4
divide each side by -1 to get y=mx+b.
slope= 2
y-intercept= -4
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
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
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
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:
2. Suppose that the mean salary in a particular profession is $45,000 with a standard deviation of $1,500. What percentage of people in that profession earn less than $48,000
Answer:
93%
Step-by-step explanation:
mean=45,000 standard deviation=2000 value of concern=48,000
We can easily see that since the value of concern (48,000) is GREATER than the mean, we can rule out the last two choices.
There is no possible way a number can be greater than the mean, but less than the 50th percentile.
convert 48,000 into a z-score, which is given as:
(x-mean)/standard deviation
or in this case:
(48000-45000)/2000=1.5
using my z-score table or calculator, I can see that a z-score of 1.5 corresponds to about the 93th percentile
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!!
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!! :)
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
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!
━━━━━━━☆☆━━━━━━━
An ancient Sicilian legend says that the barber in a remote town who can be reached only by traveling a dangerous mountain road shaves those people, and only those people, who do not shave themselves. Can there be such a barber
Answer:
No there cannot be.
Step-by-step explanation:
In explaining this question, I would like us to take into account who the barber is,
" the barber is the one who shaves all those, and those only, who do not shave themselves".
This barber cannot be in existence because who would shave him? If he should shave himself then there is a violation of the rule which says he shaves only those who do not shave themselves. If he shaves himself then he ceases to be a barber. And if he does not shave himself then he happens to be under those who must be shaved by the barber, because of what the rule says. But then he is the barber.
This lead us to a contradiction.
Neither is possible so there is no such barber.
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]
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
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.
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.
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
Help !! Please I don’t know lol
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!
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.
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.