Answer:
Positive is 1
Negative is-1
Step-by-step explanation:
consider the distribution of monthly social security (OASDI) payments. Assume a normal distribution with a standard deviation of $116. if one-fourth of payments are above $1214,87 what is the mean monthly payment?
Answer:
[tex]\mu = x - z(\sigma)[/tex]
[tex]\mu = 1214.87 - 0.67(116) \\\\\mu = 1214.87 - 77.72 \\\\\mu = \$1137.15[/tex]
Therefore, the mean monthly payment is $1137.15.
Step-by-step explanation:
What is Normal Distribution?
We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.
We are asked to find the mean monthly social security (OASDI) payment.
Mean monthly payment = μ = ?
We are given that the standard deviation is $116
One-fourth of payments are above $1214.87
One-fourth means 25%
[tex]P(X > x )= P(Z > z ) = 0.25\\\\P(X < x )= P(Z < z) = 1 - 0.25\\\\P(X < x )= P(Z < z) = 0.75\\\\[/tex]
From the z-table, the z-score corresponding to 0.75 is found to be 0.67
[tex]z = 0.67[/tex]
The mean is found by
[tex]x = \mu + z(\sigma)[/tex]
[tex]\mu = x - z(\sigma)[/tex]
Where
x = $1214.87
z = 0.67
σ = $116
[tex]\mu = 1214.87 - 0.67(116) \\\\\mu = 1214.87 - 77.72 \\\\\mu = \$1137.15[/tex]
Therefore, the mean monthly payment is $1137.15.
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:
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
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
a lottery game has balls numbered 1 through 21. what is the probability of selecting a ball with a prime number on it or a 10
Answer:
3/7
Step-by-step explanation:
The prime numbers that lie between 1 and 21 are 2,3,5,7,11,13,17, and 19. These 8 balls, plus the 10-ball comes to a total of 9 balls that could be picked out of the 21. Therefore, the probability of picking one of these balls is 9/21 or 3/7
Answer:
[tex]\frac{9}{21}[/tex]
Step-by-step explanation:
→ List the prime numbers between 1 and 21
2, 3, 5, 7, 11, 13, 17 and 19
→ Count how many ball that is
8 balls
→ Remember in the question it says "what is the probability of selecting a ball with a prime number on it or a 10"
8 balls + 1 ball (the one with the number 10)
→ 9 balls overall over a total of 21
Which of the following best describes so ?
A.
Center
B.
Radius
C.
Diameter
D.
Chord
Step-by-step explanation:
D.
chord
hope you like this
stay at home stay safe
Answer: d
Step-by-step explanation:
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!
━━━━━━━☆☆━━━━━━━
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)
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
Answer the following questions: 2/3 is what percent of 1/4?
Answer:
1/2 or 0.5
Step-by-step explanation:
To find out what 2/3 is out of 3/4, we just have to multiply them together to get our exact answer.
[tex]\frac{2}{3} *\frac{3}{4}=\frac{6}{12}=\frac{1}{2}[/tex]
Our final answer is 1/2 or 0.5.
An architect needs to consider the pitch, or steepness, of a roof in order to ensure precipitation runoff. The graph below shows
the vertical height, y, versus the horizontal distance, x, as measured from the roof peak's support beam.
Roof Steepness
y
14
12
10
8
Vertical Height (feet)
4
2
+X
10 12 14
0
2
4
6
8
Horizontal Distance (feet)
Determine the equation that could be used to represent this situation.
Answer:
The third answer (C).
Step-by-step explanation:
This graph starts at 10. So it needs the +10 at the end.
Also the slope is -1/2 because the graph goes down one, right two. Rise/run.
Answer:
y= -1/2x+10
Step-by-step explanation:
The slope-intercept form of a linear equation is y = mx + b, where m represents the slope and b represents the y-intercept.
For the the given graph, the y-intercept is 10. The slope can be determined by finding the rate of change between any two points on the graph, such as (2,9) and (8,6).
What is the solution to the equation -0.2(x - 20) = 44 - x? x = -90 x = 50 x = -50 x = 90
Answer:
x= 50
Step-by-step explanation:
First, simplify the equation
Expand the terms on the left hand side to make it easier to rearrange
-0.2(x-20) =44-x
-0.2x+4 =44-x
Rearrange the equation by moving the numbers to one side and the variables to the other
-0.2x +x= 44-4
0.8x = 40
Isolate for x
x= 40/0.8
x= 50
Datguy323 is going to complain again. What's the variables for: [tex]x^2+y^2=29\\x+y=7[/tex]
y<4
Answer: :o I FINALLY MADE IT
(5, 2)
x = 5
y = 2
Step-by-step explanation:
First, I graphed both equations. They meet at the points (5,2) and (2,5). Because y < 5, the solution is (5, 2)
Hope it helps <3
Answer:
[tex]x=5\\y=2[/tex]
Step-by-step explanation:
[tex]x^2 +y^2 =29[/tex]
[tex]x+y=7[/tex]
Solve for x in the second equation.
[tex]x+y=7[/tex]
[tex]x+y-y=7-y[/tex]
[tex]x=7-y[/tex]
Plug in the value for x in the first equation and solve for y.
[tex](7-y)^2 +y^2 =29[/tex]
[tex]y^2-14y+49+y^2 =29[/tex]
[tex]2y^2-14y+20=0[/tex]
[tex]2(y-2)(y-5)=0[/tex]
[tex]2(y-2)=0\\y-2=0\\y=2[/tex]
[tex]y-5=0\\y=5[/tex]
[tex]y<4[/tex]
[tex]y=2[/tex]
[tex]y\neq 5[/tex]
Plug y as 2 in the second equation and solve for x.
[tex]x+y=7[/tex]
[tex]x=7-y[/tex]
[tex]x=7-2[/tex]
[tex]x=5[/tex]
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
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.
A political analyst predicts Mr. Smith will only get 122 votes for mayor. If Mr. Smith only gets 57 votes, what is the political analyst's percent error?
Answer:
65%
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
please help it's Factorisation with Numbers
Answer:
C.
6a + 18x + 18p
Step-by-step explanation:
3(2a + 6 (x + p)) firs multiply (x + p) with 6
3 (2a + 6x + 6z) now multiply inside the parenthesis with 3 and the answer would be 6a + 18x + 18p
Part A Each time you press F9 on your keyboard, you see an alternate life for Jacob, with his status for each age range shown as either alive or dead. If the dead were first to appear for the age range of 75 to 76, for example, this would mean that Jacob died between the ages of 75 and 76, or that he lived to be 75 years old. Press F9 on your keyboard five times and see how long Jacob lives in each of his alternate lives. How long did Jacob live each time? Part B The rest of the potential clients are similar to Jacob, but since they’ve already lived parts of their lives, their status will always be alive for the age ranges that they’ve already lived. For example, Carol is 44 years old, so no matter how many times you press F9 on your keyboard, Carol’s status will always be alive for all the age ranges up to 43–44. Starting with the age range of 44–45, however, there is the possibility that Carol’s status will be dead. Press F9 on your keyboard five more times and see how long Carol lives in each of her alternate lives. Remember that she will always live to be at least 44 years old, since she is already 44 years old. How long did Carol live each time? Part C Now you will find the percent survival of each of your eight clients to the end of his or her policy using the simulation in the spreadsheet. For each potential client, you will see whether he or she would be alive at the end of his or her policy. The cells in the spreadsheet that you should look at to determine this are highlighted in yellow. Next, go to the worksheet labeled Task 2b and record either alive or dead for the first trial. Once you do this, the All column will say yes if all the clients were alive at the end of their policies or no if all the clients were not alive at the end of their policies. Were all the clients alive at the end of their policies in the first trial? Part D Next, go back to the Task 2a worksheet, press F9, and repeat this process until you have recorded 20 trials in the Task 2b worksheet. In the Percent Survived row at the bottom of the table on the Task 2b worksheet, it will show the percentage of times each client survived to the end of his or her policy, and it will also show the percentage of times that all of the clients survived to the end of their respective policies. Check to see whether these percentages are in line with the probabilities that you calculated in questions 1 through 9 in Task 1. Now save your spreadsheet and submit it to your teacher using the drop box. Are your probabilities from the simulation close to the probabilities you originally calculated?
Step-by-step explanation:
brain list me please......
Answer:
Jacob:
Alive 69-70
alive 79-80
alive 62-63
alive 73-74
alive 78-Died 79
Carol:
alive 88-89
alive 67-68
alive 99-100
alive 73-74
alive 94- Died 95
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]
Both the red and blue line segments stretch from the center of the circle to a
point on the circle. The length of the blue line segment is 5. How long is the
red line segment?
5
Center
O A. 10
O B. 2.5
O c. 5
O D. 7.5
Answer:
C. 5
Step-by-step explanation:
The circle has point in the center from where two line blue and red are stretched to the point on the circle. The blue line is 5 in length and the red line length is not known. The circumference of the circle is equal on all the area around the origin. Therefore the red line must also be 5 in length as of blue line.
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!!
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
In the triangles, QR = DE and SR = FE. Triangles S Q R and F D E are shown. Angle S R Q is 62 degrees. Angle D E F is 50 degrees. Sides Q R and D E are congruent. Sides S R and F E are congruent. Which statement about the sides must be true? QS = DF DF < QS QS < DE SR = DE
Answer:
b
Step-by-step explanation:
The sides must be true DF < QS
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
ΔSQR and ΔFDE
QR = DE and SR = FE
∠SQR =62°, ∠DEF =50°
QR ≅ DE and SR ≅ FE
∵ ∠DEF > ∠SQR
So, side DF < QS
Hence, DF < QS
Learn more about of congruent triangles
brainly.com/question/4364353
#SPJ2
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]
Ellie can edit an average of 160 pages of text in an 8 hour work day. What is her unit rate for the number of pages edited per hour?
[tex]\text{We need to find how many pages she can edit in 1 hour}\\\\\text{We know that she can average 160 edits in 8 hours}\\\\\text{With this data, we can find the unit rate}\\\\\text{To get the unit rate, we would divide 160 by 8. This will get us the pages}\\\text{per hour}\\\\160\div8=20\\\\\text{She can edit 20 pages per hour}\\\\\boxed{\text{20 pages}}[/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
WHat is the answer to this?
Answer:
0.9
Step-by-step explanation:
First, convert them all into fractions:
[tex]2\frac{1}{3}=\frac{7}{3}[/tex]
[tex].5=\frac{1}{2}[/tex]
Now, we have:
[tex]\frac{4x+9}{\frac{7}{3} } =\frac{3x}{\frac{1}{2} }[/tex]
Cross multiply:
[tex]\frac{1}{2} (4x+9)=\frac{7}{3} (3x)[/tex]
On the left, distribute. On the right, notice that the 3 in the denominator and the coefficient 3 cancel:
[tex]2x+4.5=7x[/tex]
[tex]4.5=5x[/tex]
[tex]x=0.9=9/10[/tex]
Answer and step-by-step explanation:
Photo
In the diagram what is the measure of WRS
Step-by-step explanation:
in the diagram what is the value of WRS
Fundamental Theorem of Algebra...
(x+7)^5
1. Using the Fundamental Theorem of Algebra explain how many roots your expression can have. How many real roots and how many complex roots are possible?
Answer:
A real root of fifth-grade multiplicity/No complex roots.
Step-by-step explanation:
The Fundamental Theorem of Algebra states that every polynomial with real coefficients and a grade greater than zero has at least a real root. Let be [tex]f(x) = (x+7)^{5}[/tex], if such expression is equalized to zero and handled algebraically:
1) [tex](x+7)^{5} = 0[/tex] Given.
2) [tex](x+7)\cdot (x+7)\cdot (x+7)\cdot (x+7)\cdot (x+7) = 0[/tex] Definition of power.
3) [tex]x+7=0[/tex] Given.
4) [tex]x = -7[/tex] Compatibility with the addition/Existence of the additive inverse/Modulative property/Result.
This expression has a real root of fifth-grade multiplicity. No complex roots.