Using z-scores and the normal distribution, it is found that the new value would be of 58.2.
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X, which is the area to the left of Z under the normal curve.The area to the right of Z is 1 subtracted by the p-value of Z.In this problem:
Mean of 50 and standard deviation of 5, thus [tex]\mu = 50, \sigma = 5[/tex].Area to the right of 0.05, thus Z with a p-value of 1 - 0.05 = 0.95, thus [tex]Z = 1.645[/tex].We have to find the value of X, then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.645 = \frac{X - 50}{5}[/tex]
[tex]X - 50 = 1.645(5)[/tex]
[tex]X = 58.2[/tex]
A similar problem is given at https://brainly.com/question/15583760
Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 27. How old is each sister?
A) Write an equation that represents the situation. Explain any variable used.
B) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
Answer:
Kim is 18, her sister is 9
Step-by-step explanation:
Explanation and process are in the image attached, hope that helps!
pls helppppppppp meeeeee
Answer: C
Step-by-step explanation:
No matter how big the number you are dividing by you cannot go below 0.
(positive division)
so that rules out A & B.
(D) 10 - 100 = -90.
(C) 1 - 100 = -99.
C has the least value.
Mark deposit $ 200 into an account that pays an interest rate 3.5% compounded annually. He doesn't add or remove from his account for 4 years how much money will markbhave in 4 years
Answer:
30,012.5
Step-by-step explanation:
We power the number by itself for the past years so in this it will be 3.5 powered by itself four times equaling 150.0625 multiplied by the first deposit which is 200 so 200*150.0625= 30,012.5
Hope this helps
PLEASE HELP ASAP! NO JOKE OR SCAM ANSWERS!! FULL ANSWERS ONLY!!!
Joy recently hired a mechanic to do some necessary work. On the final bill, Joy was charged a total of $991. The amount listed for parts was $475 and the rest of the bill was for labor. If the hourly rate for labor was $43, how many hours of labor was needed to complete the job?
(A) First write an equation you can use to answer this question. Use x as your variable. The equation is ___________
(B) Solve your equation in part (A) to find the number of labor hours needed to do the job. Answer: The number of labor hours was _____________
Answer:
12 hoursStep-by-step explanation:
Given:
The total amount = $991Cost of parts = $475Hourly labor rate = $43Number of hours = x(A)
The equation:
y = 43x + 475(B)
Solve for x:
43x + 475 = 99143x = 991 - 47543x = 516x = 516/43x = 12someone help me if you can :)
Answer:
the answer is 126,321,000
tìm các đường tiệm cận của hàm số sau y=1/x+7
Answer:
i dont speak...that language can u translate to english?
Step-by-step explanation:
Two trains leave the same city at a right angle to each other and continue in straight lines. Train B travels 5 mph faster than train A. After two hours, they are 50 miles apart. Determine the speed of each
train.
Answer:
Let A have speed 'a.' Remember distance is rate times time, and the Pythagorean theorem. We then have (2a)^2+(2(a+5))^2=50^2. a=15, so the other rate is 20.
Step-by-step explanation:
h(x)=17, x=?
H(x)=5x+2
I don't know how to find x?
Answer:
• If h(x) is 17, equate the whole function to 17
[tex]{ \tt{5x + 2 = 17}} \\ \\ { \tt{5x = 17 - 2}} \\ \\ { \tt{5x = 15}} \\ \\ { \boxed{ \tt{x = 3}}}[/tex]
I need the answer if you please don't answer the question uleash you are 100 percent right
Answer:
What are they making you do
Step-by-step explanation:
Place the following numbers in order from least to greatest -4.5, -3 5/6, square root of 16, -8/3, -2 pie
Answer: -2 pi, -4.5, -3 5/6, -8/3, square root of 16
Step-by-step explanation:
The number which would be the smallest would be the largest negative number sense its farthest from 0 and the greatest would by the biggest positive number in this case being square root of 16.
square root of 16 is 4 sense (4 times 4 is 16)
-8/3= -2.67
-2 pi= -6.28
-3 5/6= -3.834
Irrational numbers cannot be written as a ratio…irrational means not rational. All fractions of integers are Rational.
with the exception of perfect squares, all square root of whole numbers are irrational, e.g. √5
how about this one:
2.34334333433334.... I am increasing the number of 3s each time, thus
creating a decimal which never ends and never repeats.
or
12.3456789101112131415.... can you see what I am doing?
will it ever end? will it ever repeat?
Plot point F so that ABC is congruent to FGH. Identify a sequence of rigid motions that maps ABC onto FGH and use a theorem to complete the explanation of why the triangles are congruent.
Answer:
Step-by-step explanation:
Having completed the triangle to the rectangle, you can immediately understand through the Pythagorean theorem that they will be congruent
Then by the Pythagorean theorem:
[tex]\ \sf Points \ F (5 \ ; \ 1)[/tex]
[tex]\sf \displaystyle AB=\sqrt{5^2+1^2} =\sqrt{26 } \ \ ; \ \ FG=\sqrt{5^2+1}=\sqrt{26 } \\\\ BC=\sqrt{2^2+1^2} =\sqrt{5} \ \ ; \ GH=\sqrt{2^2+1^2} =\sqrt{5} \\\\ AC=\sqrt{3^2+2^2} =\sqrt{13} \ \ ; \ \ HF =\sqrt{3^2+2^2} =\sqrt{13}[/tex]
SSS (side-side-side) All three corresponding sides are congruent. =>
ΔABC≅ΔFGH
Where on the number line would the number -3 be placed
Answer:
3 Units To The Left
Step-by-step explanation:
LCF of [tex]e^{2} r^{2} t^{3} \\and\\e^{3} r^{3} t^{2}[/tex]
Answer:
[tex]r^{3} t^{3}[/tex]
Step-by-step explanation:
what is 54% of 114?
Answer:
54% of 114 is 61.56
Step-by-step explanation:
Answer:
that would be 1404/25 or 56.16
Step-by-step explanation:
I solved it on paper
If you divide the age of the first President Bush when he was inaugurated by 2 and add 14 years, you get the age of President Clinton when he was first inaugurated. How old was President G.H.W. Bush when he was inaugurated?
Answer:
64Step-by-step explanation:32+14=46
Step-by-step explanation:
lf you divide the age of the first President Bush when he was inaugurated by 2 and add 14 years, you get the age of President Clinton when ...
1 answer
Age of President G.H.W. Bush is 37.
What is Unitary Method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
Age of President Bush = 54,
So, Age of President Clinton
=(54/2) + 14
=27+14
=41
Now, Age of President G.H.W. Bush
=46/2+14
=23+14
=37
Hence, the age of President G.H.W. Bush is 37.
Learn more about unitary method here:
https://brainly.com/question/22056199
#SPJ5
Find the value of 72% of 90 kg
Answer:
64.8 kg kilograms
Step-by-step explanation:
please mark brainiest
hope it works out for you
Answer:
the value of 72% of 90 kg:
72 * 90 / 100 = 64,8 kg
What is 23 + 18 than a blank line + 14
Answer:
27
Step-by-step explanation:
it is 55 23+18=41 +14=55
Ausgtin has 1/4 as many cards as mateo. mateo has 1/2 as many cards of amaro. who has the most cards
Answer:D
Step-by-step explanation:
Amaro would have the most.
A Child’s Growth and Prosperity
When a new baby enters this world, pediatricians will monitor the baby’s growth in many areas. Weight, head circumference, length, and body mass index are just a few of the measurements collected as newborns progress through childhood. Parents of newborns are not only concerned with their child’s measurements, but they typically consider their child’s medical and financial needs, too.
As you complete the task, keep these questions in mind: How can you use linear functions to describe and analyze measurements associated with babies’ growth? How can you use functions to calculate college savings and to determine how much medicine to administer?
Directions:
Complete each of the following tasks, reading the directions carefully as you go.
You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all of your work and to answer each question as you complete the task. Type all of your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations.
Answer:
a) 0.75 inch/month
b) y-20 = 0.75(x-4)
c) 17 inches
d) 44
a) 0.8 inch/month
b) yes
c) y = 0.8x + 18.8
d) 18.8 inches
Step-by-step explanation:
a) (21.5-20)/(6-4) = 1.5/2
= 0.75 inch/month
If this is correct, 2 months after the 6th month (month 8), it should be
21.5 + 2(0.75) = 23
Which it is
b) y-y1 = m(x-x1)
Where y is the length, x is the months, m is the slope and (x1,y1) is a known point
At x = 4, y = 20
y-20 = 0.75(x-4)
Or
y = 0.75x + c
20 = 0.75(4) + c
c = 20 - 3 = 17
y = 0.75x + 17
c) at birth, 4 months before month 4
So, 20 - 0.75(4) = 17
Which is also the y-intercept
d) y = 0.75(36) + 17
y = 27 + 4 = 44 inches
Generally, at the age of 3 years (36 month) the length is between 35 and 40 inches
a) slope = (30-22)/(14-4)
= 0.8 inch/month
b) 0.8 > 0.75, so yes
c) When x = 4, y = 22
y-22 = 0.8(x - 4)
y - 22 = 0.8x - 3.2
y = 0.8x + 18.8
y-intercept is 18.8
d) at birth, x = 0.
Length was 18.8 inches
Step-by-step explanation:
Finally, suppose you decide not to finance (get a loan for) the car and to
wait two years to save up money in addition to the $4,000 you already
have saved for the car.
How much money would you have to save each month in order to
purchase this car without any financing (loan) at the end of two years?
Round your answer to the nearest cent.
Supposing a cost of $30,000, and using proportions, it is found that you would have to save $1,083.30 each month.
--------------------------
We suppose a cost of $30,000.You already have $4,000 saved.30 - 4 = 26, thus, you would need to save $26,000 in 2 years = 24 months.How much per month?We can solve it using proportions, by the following rule of three:
1 month - $x
24 months - $26,000
Applying cross multiplication:
[tex]24x = 26000[/tex]
[tex]x = \frac{26000}{24}[/tex]
[tex]x = 1083.3[/tex]
You would have to save $1,083.30 each month.
A similar problem is given at https://brainly.com/question/24112433
15 tan^3x=5tanx,(0,2pi)
Answer:
steps below
Step-by-step explanation:
15 tan³x=5tanx .... (0,2π)
5tanx(3tan²x - 1) = 0
tanx = 0 x = π (0° is excluded)
or 3tan²x - 1 = 0
(√3 tanx + 1) (√3 tanx - 1) = 0
tanx = 1 /√3 x = π/6 (30°) or x = 5π/6 (150°)
tanx = - 1 /√3 x = 7π/6 (210°) or x = 11π/6 (330°)
10 ways to divide 96 equally
96 divided by 2 = 48
96 divided by 3 = 32
96 divided by 4 = 24
96 divided by 6 = 16
96 divided by 8 = 12
96 divided by 12 = 8
96 divided by 16 = 6
96 divided by 24 = 4
96 divided by 32 = 3
96 divided by 48 = 2
right i sucks at all school so what is a 0.0000343 in standard form????????????
Answer:
3.43x10^-5
Step-by-step explanation:
Find the equation for the line shown
Answer:
2y-x=0
Step-by-step explanation:
Slope(m)= (5-2)/(10-4)=3/6=1/2
y-intercept(c)=0
y=mx+c
y=1/2*x+0
y=x/2
2y-x=0
(19-1) divided by (3*2)=
Answer:
18/6=3
Step-by-step explanation:
Answer:
18/6 = 3
Step-by-step explanation:
Break it down.
(19-1) = 18
(3*2) = 6
So whats 18 divided by 6?
Your itinerary contains a grid map of New York, with each unit on the grid representing 0.25 miles. If the Rockefeller Center is located at (2,−1) and Central Park is located at (7,−6), what is the direct distance (not walking distance, which would have to account for bridges and roadways) between the two landmarks in miles? Round your answer to two decimal places, if necessary.
Answer:
Its 5
Step-by-step explanation:
5 mhm.
What is the Co ordinates to fill in the grid in the top left?
Answer:
a ) x = - 3, y = 5
x = 0, y = 2
x = 5, y = - 3
b ) you should draw the line by marking the coordinates in the graph, then draw a straight line passing through all those three points.
Step-by-step explanation:
y = 2 - x
When x = - 3,
y = 2 - x
= 2 - ( - 3 )
= 2 + 5
y = 7
When x = 0,
y = 2 - x
= 2 - 0
y = 2
When x = 5,
y = 2 - x
= 2 - 5
y = - 3
b ) you should draw the line by marking the coordinates in the graph, then draw a straight line passing through all those three points.
JUST put x and get y
#-3
[tex]\\ \rm\rightarrowtail y=2+3=5[/tex]
#0
[tex]\\ \rm\rightarrowtail y=2-0=2[/tex]
#5
[tex]\\ \rm\rightarrowtail y=2-5[/tex]
[tex]\\ \rm\rightarrowtail y=-3[/tex]
Write the equation in slope-intercept form.
6x – 3y = -18
Answer:
y = 2X + 6
Step-by-step explanation:
6x +18 = 3y
y = 6/3x + 18/3
Need help on question 4
Answer:
I cant see the question v well
Step-by-step explanation: