Answer is 1 year 1 month and 5 days
What is 8/9 - 1/18?
Thank you.
:)
Answer:
0.83 but draw a repeating bar over the 3
Step-by-step explanation:
The SAT are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 5% on the College Boards to join. a. Find percentages of scores that is between 480 and 590. b. What score is required to be invited to join the club? c. What score separates the top 60% of the population from the bottom 40%? What do we call this value? (hint: the score that separates the top 20% of the population f
Complete Question
The SAT are scored so as to yield a mean of 500 and a standard deviation of 100. These scores are close to being normally distributed. An exclusive club wishes to invite those scoring in the top 5% on the College Boards to join. a. Find percentages of scores that is between 480 and 590. b. What score is required to be invited to join the club? c. What score separates the top 60% of the population from the bottom 40%? What do we call this value? (hint: the score that separates the top 20% of the population from the bottom 80% is called the 80th percentile)
Answer:
a
[tex]P(480 < X < 590) = 0.3952[/tex]
b
[tex]x = 664.5 [/tex]
c
[tex]x_1 = 474.67[/tex]
The value is called the [tex]40^{th}[/tex] percentile
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 500[/tex]
The standard deviation is [tex]\sigma = 100[/tex]
Generally the percentage of the score that are between 480 and 590 is mathematically represented as
[tex]P(480 < X < 590) = P(\frac{ 480 - 500}{ 100} < \frac{ X - \mu }{ \sigma } < \frac{ 590 - 500}{ 100} )[/tex]
Here [tex]\frac{ X -\mu}{\sigma } = Z[/tex]
=> [tex]P(480 < X < 590) = P(\frac{ 480 - 500}{ 100} < Z < \frac{ 590 - 500}{ 100} )[/tex]
=> [tex]P(480 < X < 590) = P(-0.2< Z < 0.9 )[/tex]
=> [tex]P(480 < X < 590) = P(Z < 0.9 ) - P(Z<-0.2) [/tex]
From the z table (reference calculator dot net )
[tex] P(Z < 0.9 )= 0.81594 [/tex]
And
[tex] P(Z < -0.2 )= 0.42074 [/tex]
=> [tex]P(480 < X < 590) = 0.81594 - 0.42074 [/tex]
=> [tex]P(480 < X < 590) = 0.3952[/tex]
Converting to percent
[tex]P(480 < X < 590) = 0.3952 * 100[/tex]
[tex]P(480 < X < 590) = 39.52\% [/tex]
The percentage invited to join the club is the top 5% , this can be mathematically represented as
[tex]P(X > x ) = 0.05[/tex]
Here x is the score that is within the top 5%
=> [tex]P(X > x) = P( \frac{X - \mu }{\sigma } > \frac{ x - 500}{100} )= 0.05[/tex]
Generally the critical value of 0.05 from the normal distribution table is
[tex]Z_{0.05} = 1.645[/tex]
So
[tex]\frac{ x - 500}{100} = 1.645[/tex]
=> [tex]x - 500 = 164.5[/tex]
=> [tex]x = 664.5 [/tex]
Generally the probability of having a score that separates the top 60% of the population from the bottom 40%
[tex]P(X > x_1 ) = 0.60[/tex]
=> [tex]P(X > x_1) = P(\frac{ X - \mu }{\sigma } > \frac{x - 500}{100} ) = 0.60[/tex]
The critical value of 0.60 from the normal distribution table is
[tex]Z_{0.60} = - 0. 2533[/tex]
So
[tex]\frac{x_1 - 500}{100} = -0.2533[/tex]
=> [tex]x_1 = 474.67[/tex]
From the hint given we can see that this value is called the [tex]40^{th}[/tex] percentile
Which diagram represents a fraction equivalent to 75%?
(4x^2- 10x+9)+(6x-2)-
Answer:
-2^5
Step-by-step explanation:
Answer:
24^3-52x^2+34x+18
Find the set of the solutions for each of the following Absolute Value Inequalities. Check your answers.
**EXPLANATION NEEDED! THANK YOU!**
Answer:
There are NO solutions
Step-by-step explanation:
On the left hand side, we have an absolute value;
which means that the left hand side will always be greater than or equal to 0
On the right hand side, we have a negative value;
Since the LHS can NEVER be negative, it will never be less than a negative number
Hence, No value of y can make this equation true
the average weight of 6 people is 173, a 7th person gets on and now the average weight is 165, how much did the 7th person weigh
Answer:
117
Step-by-step explanation:
The average of all 7 people is the total weight of the original 6 people, plus the weight of the 7th person, all divided by 7.
For problems like this involving an average of numbers that are "close" together, here is a different strategy for solving the problem that you might like to try.
The original 6 people have an average weight of 173, which is 8 pounds more than the average of all 7 people. So all together, the weight of those 6 people is 6*8=48 pounds over the 165 average. That means the 7th person's weight must be 48 pounds below the 165 average.
So the weight of the 7th person is 165-48 = 117 pounds.
Answer:
The 7th person weighted 117
Step-by-step explanation:
Average Value
The mean or average of a number n of measurements is defined as the sum of all values divided by n.
[tex]\displaystyle \bar x=\frac{\sum x_i}{n}\\[/tex]
The question gives us some input data. The average weight of n=6 people is [tex]\bar x=173[/tex]. With this information, we can set this relationship:
[tex]\displaystyle 173=\frac{\sum x_i}{6}[/tex]
From the above equation, we know the sum of the first 6 persons:
[tex]\sum x_i=6*173=1,038[/tex]
When a 7th person gets on, the new average gets down to 165 and n=7. The equation for the new average is:
[tex]\displaystyle 165=\frac{\sum x_i+X}{7}[/tex]
Note we have a new summand to the numerator. It's the weight of the 7th person. Let's solve for X:
[tex]\displaystyle 165=\frac{1,038+X}{7}[/tex]
Multiply by 7:
[tex]7*165=1,038+X[/tex]
Operate and swap sides:
[tex]1,038 +X=1,155[/tex]
[tex]X=1,155-1,038=117[/tex]
The 7th person weighted 117
Choose the symbol that will create a true sentence when m = 20. 100 – 2m ___ 3m
Answer: it’s =
i just got the test results
What angle would it be?
Find the slope of the line that passes through (7,5) and (1,2)
2/4 = y/10 what is y?
Answer:
5
Step-by-step explanation:
2/4=y/10
=> 2x10=yx4
=> 20=yx4
=>y=5
PLEASE HELP, QUESTIONS 4 AND 5 ARE RELATES TO 2 AND 3
Answer:
4. 180
5. PQ
Step-by-step explanation:
Maddie loves bananas! So, Maddie bought 15 boxes of bananas. In each box of bananas, there are 32 bananas. How many total bananas did Maddie buy?
Answer:
480
Step-by-step explanation:
In each box there is 32. Well, we know there is 15 boxes, so we multiply 32 and 15 to get 480.
She bought 480 total bananas :D
Answer:
She would've eaten 480 bananas
Step-by-step explanation:
If you answer this thanksssssss
Answer:
A. 6.95+8t=24.95;t=2.25
Step-by-step explanation:
24.95 minus 6.95 of the canvas equals 18 dollars left for the 8 tubes of paint, but then you have to figure out how much money for each which would equal 18 divided by 8, and that equals 2.25 dollars.
Find the equation of this line.
Simplify the fractional part.
(Picture)
Answer:
y = 1/3x + 2
Step-by-step explanation:
Rise over run + y intercept
Please help, I’m very confused !
Write an equation of a line parallel to the line below in point-stope form that passes through the point (-1,5).
y = 1/4x - 6
y + 1 = - 4(x - 5)
y + 1 = 1/4(x - 5)
y - 5 = 1/4(x + 1)
y- 5 = - 4(x + 1)
Can you help me please
Answer:
7.6
Step-by-step explanation:
(4−(−3))2+(−2−1)2
=7^2+(−2−1)2
=49+(−2−1)2
=49+(−3)^2
=49+9
=58
=7.6
Show that (3m+4n)2 –48mn= (3m-4n)2
Answer:
Please see the attached picture.
Currently bank customers wait approximately 7.5 minutes during peak hours to be served by a teller. Suppose the bank manager hires another teller and wants to show that the wait time has now decreased. She takes a random sample of 50 customers during peak time and finds that the average wait time is 9.3 minutes. Which of the following statements is the correct alternative hypothesis?a) H1: µ < 7.5b) H1: µ ≠ 7.5c) H1: µ > 7.5d) H1: µ > 9.3e) H1: µ < 9.3
Answer:
a) H1: µ < 7.5
Step-by-step explanation:
From the given information:
mean = 7.5
sample size = 50
sample mean = 9.3
The main task we are to carry out is to identify the correct alternative hypothesis:
Now to do that, let's state the null and the alternative hypothesis from the given study.
The null hypothesis can be computed as:
[tex]\mathbf{H_o: \mu \geq 7.5}[/tex]
The alternative hypothesis can be computed as:
[tex]\mathbf{H_1: \mu < 7.5}[/tex]
Thus, this test hypothesis is a one-tailed test (left tailed).
Luci cuts a board that is 5/9 yard long into pieces that are 5/18 yard long. How many pieces does she cut?
Luci cuts ___ pieces
Answer:
2
Step-by-step explanation:
9x2=18
5x2=10
10/18=5/9
10/18 divided by 2 5/18
so its 2
If you put cold water in a cup and then put the same temperature water in it would it get colder or would it stay the same temperature?
Help help help help help!!!!!
Answer:
6) 130
7) x = 35
8) y = 100
9) 50
10) 130
11) DEF = 29
12) FEG = 61
13) DEF = 91
14) FEG = 89
Step-by-step explanation:
6)angle AEB is 50°
supplementary is when 2 angles add together to make 180°
50 + x = 180
x = 180 - 50
x = 130
7)
angles AEB and DEC are vertical angles
vertical angles are equal.
50 = x + 15
50 - 15 = x
35 = x
8)
AEB and AED are supplementary angles
supplementary angles add together to make 180
50 + (y + 30) = 180
y + 30 = 180 - 50
y + 30 = 130
y = 130 - 30
y = 100
9)
DEC is vertical to AEB
vertical angles are equal.
AEB = 50
DEC = 50
10)AED = y + 30
as established earlier, y = 100
substitute Y for 100
AED = 100 + 30
AED = 130
11 & 12)DEF and FEG are complimentary.
complimentary means they add together to make 90
(3x - 4 ) + (5x + 6 ) = 90
3x - 4 + 5x + 6 = 90
8x + 2 = 90
8x = 90 - 2
8x = 88
x = 88/8
x = 11
substitute x into the equations
DEF = 3x - 4
DEF = 33 - 4
DEF = 29
FEG = 5x + 6
FEG = 55 + 6
FEG = 61
13 & 14)
DEF and FEG are supplementary.
supplementary means they add together to make 180
(9x + 1) + (8x + 9) = 180
9x + 8x + 1 + 9 = 180
17x + 10 = 180
17x = 170
x = 10
substitute x into the equations
DEF = 9x + 1
DEF = 90 + 1
DEF = 91
FEG = 8x + 9
FEG = 80 + 9
FEG = 89
If I got something wrong please let me know!
Divide: r^2/r^12 A. r^10 B. 1/r^6 C. 1/r^8 D. r^8 E. r^6
Answer:
A. r^10
Step-by-step explanation:
r^2/r^12
1/r^-10
r^10
Need help with this right now, please.
Answer:
see below
Step-by-step explanation:
the circumference of a circle is
[tex]2\pi r[/tex]
in our problem
r=11
[tex]C=2\pi (11)\\\\=22\pi[/tex]
rounded to the nearest tenth
[tex]C\approx69.1[/tex]
the area of a circle is
[tex]\pi r^2[/tex]
so the area is
[tex]A=\pi(11)^2\\\\=121\pi[/tex]
rounded to nearest tenth
[tex]A\approx 380.1[/tex]
The office manager for Better Health Medical Practice asks one of the medical assistants to help with digital thermometer inventory in the six examination
rooms. Starting with room 1, the inventory shows: 2, 4, 2,5.3, 1. What is the total inventory of thermometers?
Answer:
is this a trick question cause how can you have 5.3 thermometers?
The total inventory of the inventory shows 2, 4, 2,5,3, and 1 will be 17.
What is summation?A summation, also abbreviated as a sum, is the outcome of adding two or more numbers or quantities. Here are always an integer number of terms in a summation. There could be only two terms, but there could be one hundred, thousand, or a million. There are summations with an infinite set of parameters.
In another word, the summation is to add or subtract any two or more terms by doing that operation we will get a new result which could be big or small depending upon the number.
Given the inventory 2, 4, 2,5,3,1 if we add this inventory to the total then it will come out to be
2+ 4+ 2+5+3+1 =17 hence 17 will be the correct answer.
For more information about summation
https://brainly.com/question/10777222
#SPJ2
HELP NEEDED MATHS PLEASE!!!
Answer:
f(3)= 3+1
=4
gf(3) is attached.
Functions and their Properties
Practice
Need help
Answer:
[tex]g(n-7)=\frac{n^{2}-14n+43}{7n-49}[/tex] → (a)
Step-by-step explanation:
We need to evaluate g(n - 7), where
[tex]g(x)=\frac{x^{2}-7}{7x}[/tex]Replace x by (n - 7) to evaluate it
∵ x = (n - 7)
∴ [tex]g(n-7)=\frac{(n-7)^{2}-6}{7(n-7)}[/tex]
→ Let us find (n - 7)²
∵ (n - 7)² = (n - 7)(n - 7) = (n)(n) + (n)(-7) + (-7)(n) + (-7)(-7)
∴ (n - 7)² = n² + (-7n) + (-7n) + 49 = n² + -14n + 49
∴ (n - 7)² = n² - 14n + 49
→ Find 7(n - 7)
∵ 7(n - 7) = 7(n) - 7(7)
∴ 7(n - 7) = 7n - 49
→ Now let us write then in the form above
∵ [tex]g(n-7)=\frac{n^{2}-14n+49-6}{7n-49}[/tex]
→ Add the like terms in the numerator
∴ [tex]g(n-7)=\frac{n^{2}-14n+43}{7n-49}[/tex]
The correct answer is (a)
which is greater? 0.4 or 0.127
Answer:0.4
Step-by-step explanation:
4 is bigger than one so it would be like 400>127
Answer:
0.4 would be the greater number
The length of a rectangle is
5 inches more than 4 times the width. The perimeter is 60 inches. Find the length and the width.
Answer:
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It cost $20 to park at the concert hall plus concert tickets are $60 each. How much will 6 tickets cost with parking one vehicle the. What would be the independent and dependent variables please