Given the assumption of a normal distribution with a mean of 100 and a standard deviation of 15, a score of 130 represents a z-score of 2. In different mostly older handbooks of descriptive statistics you can find a ‘from z to percentile-table’. Nowadays it’s more easy to use the computer. Using R, a free and open source statistical environment (www.r-project.org), you can use the command pnorm (130, 100, 15) and it will give 0.9772. Because yo want the proportion above that score you use 1-pnorm (130, 100, 15). Another way of writing in R and with for example 3 IQ-scores:
perc = pnorm (c (70, 100, 130), 100, 15)
(1 - perc)
gives you the above-proportion of the IQ-scores of respectively 70, 100 and 130.
Martina took a train to the bullfight. It traveled 544 km nonstop in 8.5 hours to get there. If the train moved at a steady speed, what was the rate of speed
Answer:
64 km per hour
Step-by-step explanation:
544/8.5=64
The students at a school assembly
were divided into 4 equal groups.
There were 73 students in each
group. Write and solve an equation
to determine the number of students
that were at the assembly.
Answer:
292
Step-by-step explanation:
73 students in 1 group
4 groups all together
73 Students times 4 groups = amount of students all together
so 73x4=292
A rectangles length is 6 units greater than its width. Write an equation expressing the rectangles area, A, as a function of W
Answer:
A = W² + 6W
Step-by-step explanation:
The width is W.
The length is 6 units greater than the width, so the length is W + 6.
The area is the product of the length and width.
A = (W + 6)W
A = W² + 6W
If no sides of a triangle have the same length, the triangle is called scalene
(pronounced SKAY-leen). And, as you might remember, if the triangle has at
least two sides that are the same length, the triangle is called isosceles. Use the
markings or description in each diagram below to decide if AABC is isosceles or
scalene. Assume the diagrams are not drawn to scale.
Answer:
a. isosceles
b. isosceles
c. scalene
Write an
equation in slope intercept form y = mx +b.
6) slope = 4, y-intercept = -3
Answer:
y = 4x - 3
Step-by-step explanation:
Slope intercept form is made up of these components:
y = outputm = slopex = inputb = y-interceptThe question gives you the slope and the y-intercept. Now all you need to do is substitute the values for the variables. Therefore, the equation is y = 4x - 3.
Write a simplified expression, in terms of y, for both area and perimeter of the triangle below
Answer:
Area: [tex]27y^{3} -24y^{2}[/tex]
Perimeter: [tex]6y^{2} +7y+5[/tex]
Step-by-step explanation:
Area:
[tex]\frac{1}{2}[/tex] x base x height
[tex]6y^{2} (\frac{1}{2} )(9y-8)\\3y^{2} (9y-8)\\27y^{3} -24y^{2}[/tex]
Perimeter:
[tex]6y^{2} +4y+(3y+5)\\6y^{2} +7y+5[/tex]
Write an equation of the line below.
Answer:
y=x
Step-by-step explanation:
yep
that is the answer
which graph should Mr.Salinas use to presentation to the city council and why?
Answer:
The Salinas Plan
The Salinas Plan is a Ten-Year Plan designed to provide the City with a path forward on maintaining a long-term balanced budget while preserving City services and addressing the affordable housing crisis. The Salinas Plan may be found here.
The Salinas Plan Story
The Salinas Plan was presented to the City Council by representatives of the National Resource Network on December 4, 2018. The Salinas Plan represented over a year of work analyzing the City's fiscal situation and current housing policies. The Salinas Plan presented the following key findings:
- The City of Salinas is on a fiscally unsustainable path. While the City's revenues are growing at 2.4% per year, expenditures are growing at 2.9% per year.
Step-by-step explanation:
I am a prime number. I am two digits.
The sum of my digits is 8.
My tens digit is 6 less than my ones digit.
Answer:
17
Step-by-step explanation:
17 is a prime number17 has two digitsThe digits in 17, 1 and 7, add up to 8The tens digit is 6 less than the ones digit place.Answer: 17
Step-by-step explanation:
1+7=8
The ten digit is (1) 6 less than the one digit (7)
I need help explaining, this homeschool work so hard!!
Answer:
61
Step-by-step explanation:
(7 + 5) + 4 * 13 - 2
~Simplify using PEMDAS
12 + 4 * 13 - 2
12 + 52 - 3
64 - 3
61
Best of Luck~
power set of MIRACLE
Answer:
The Kathryn Kuhlman Miracle Box Set is a captivating collection of 3 truly heart-warming essentials that will rejuvenate your faith; giving you a sense of hope that you may have never felt before. The three wonderful books are titled I Believe in Miracles, Nothing Is Impossible with God and God Can Do It Again. This collection of books allows you to experience the magnificent power of Kathryn's miracle services. Through the power of God Kathryn helped to heal people all over the world in what seemed hopeless situations, inspiring readers to believe that you too can be healed by the almighty power of God.
you are solving an equation with a variable on each side. does the side on which you choose to isolate the variable affect the solution? why might you choose one side over the other?
Answer:
Does the side on which you choose to isolate the variable affect the solution?
No, because at the end you get an equation with a variable on one side only.Why might you choose one side over the other?
To simplify or minimize the number of operations you need. Moving part of the terms from one side to another adds at least one extra operation and it may also bring some complications.Formula to find perimeter of rectangle
Hey there!
The formula to find the perimeter of a rectangle is "P=2(l+w)".
Hope this helps!
Have a great day! :)
Answer:
formula to find the perimeter of rectangle is
2(l+b)hope it helps
stay safe healthy and happy.
Can someone help me with this please?
Solve for K
20-6 + 4K =2-2k
Answer:
K = -2Step-by-step explanation:
20-6 + 4K =2-2k
=> 14 + 4k = 2 - 2k
=> 4k + 2k = 2 - 14
=> 6k = -12
[tex] = > k = \frac{ - 12}{6} [/tex]
=> K = -2 (Ans)
If you invested $7000 for 10 years at an annual interest rate of 3% how much is the accrued interest?
Is 1 3/4 closer to 1 or 2 ? Explain your answer
Answer:
it's closer to 2
Step-by-step explanation:
In order to get to 1 from that number, you have to subtract 3/4. In order to get to 2 from that number, you only have to add 1/4. Clearly, the jump in adding is smaller than the jump to subtracting, which means it's closer to 2.
The number is closer to 2
What is fraction?A fraction shows part of a whole. This whole can be a region or a collection. The word fraction is derived from the Latin word "fractio" which means 'to break'. The Egyptians, being the earliest civilization to study fractions, used fractions to resolve their mathematical problems, which included the division of food, supplies, and the absence of a bullion currency.
All fractions consist of a numerator and a denominator and they are separated by a horizontal bar known as the fractional bar.
The denominator indicates the number of parts in which the whole has been divided into. It is placed in the lower part of the fraction below the fractional bar.The numerator indicates how many sections of the fraction are represented or selected. It is placed in the upper part of the fraction above the fractional bar.Given number:
1 3/4 = 7/4
On dividing
7/4 = 1.75
Hence, the number is closer to 2.
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PLEASE HELP
write and solve an equation to find the value of X. please explain in details and show your work!
Answer:45 degrees
Step-by-step explanation:
What is an equation of the line that passes through the point (-1, 4) and is perpendicular to the line x-6у = 12?
Answer:
y=-6x-2
Step-by-step explanation:
x-6y=12
y=x/6-2
y=mx+c
since theyre perpendicular, 1/6 * m = - 1
m = -6
y=-6x+c
sub x=-1,y=4
4=-6(-1)+c
c = -2
y=-6x-2
Multply 7/8 to 2-1/3
Answer:
17/12
Step-by-step explanation:
7/8 x 2-1/3
7/4-1/3
17/12
a right triangle has a hypotenuse of length 2 inches. if one angle is 38°, find the length of each leg
Answer:
21
Step-by-step explanation:
what number is represented by 6 hundreds 14 tens and 12 ones?
Answer:
6 * 100 = 600
14 * 10 = 140
12 * 1 = 12
------------------------
752
given that 3x+2=4 and 2y+6=5 what is x+y?
Really need help on this one!
The value of x+y using given equations is 3x+2y=1.
The given equation are 3x+2=4 and 2y+6=5.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
To find x+y:
3x+2+2y+6=4+5
⇒ 3x+2y+8=9
⇒ 3x+2y=1
Hence, the value of x+y using given equations is 3x+2y=1.
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Arrange the decimal numbers from largest to smallest.
Answer:
0.845, 0.839, 0.748, 0.712, 0.643
Answer:
0.845, 0.839,0.748,0.712,0.643
2. STEM A circuit board manufacturer rejects a 100-ohm resistor if its measured resistance is 0.15 ohm more than or less than 100 ohms. Resistors A and B are rejected. Resistor A's resistance differs from 100 ohms by 0.15 ohm. Resistor B's resistance differs from 100 ohms by -0.78 ohm. How do the resistances of these two resistors compare? Explain.
The comparison of both resistors is defined by an inequality. Resistor A has a higher resistance than resistor B because [tex]100.15\Omega > 99.22\Omega[/tex]
Given that:
[tex]R = 100 \Omega[/tex] ---- the reference resistor
First, we calculate the resistance of both resistors
Resistor A differs by [tex]0.15\Omega[/tex] means that:
[tex]R_A = 100\Omega + 0.15\Omega[/tex]
[tex]R_A = 100.15\Omega[/tex]
Resistor A has a resistance of [tex]100.15\Omega[/tex]
Resistor B differs by [tex]-0.78\Omega[/tex] means that:
[tex]R_B = 100\Omega -0.78\Omega[/tex]
[tex]R_B = 99.22\Omega[/tex]
Resistor B has a resistance of [tex]99.22\Omega[/tex]
By comparing the calculated values, we can conclude that:
Resistor A has a higher resistance than resistor B because [tex]100.15\Omega > 99.22\Omega[/tex]
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A reviewer decides to interview patrons to see how they would rate a particular restaurant. The following table lists the responses from
twenty-five patrons. What is the level of measurement for the data? Are the data qualitative or quantitative?
Restaurant Ratings
One Star Two Stars Three Stars
Five Stars
Four Stars
Three Stars
Four Stars
Four Stars
Five Stars
Three Stars
Five Stars
Four Stars
Five Stars
Four Stars Three Stars
Three Stars Five Stars
One Star
One Star
Two Stars
Five Stars
Two Stars
Four Stars
One Star
Five Stars
The level of measurement of the data is ORDINAL and the data is QUALITATIVE.
An Ordinal level of measurement is one whereby measurement follows a natural order, however, the difference or distance between each category cannot be measured. Ordinal data level are applicable to categorical variables.
In the scenario given,
The different categories available are :
One star, two stars, three stars, four stars and five stars.
The categories are ordered with the number of stars depicting better quality however, the difference between the quality offered isn't measurable.
Qualitative data groups variables into different categories and are used for non - numeric variables.
Quantitative data on the other hand are used for numeric data.
Hence, the level of measurement is Ordinal and the data is QUALITATIVE
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Answer:one star
Step-by-step explanation:
Please help due tomorrow
Answer:
just observe its like corresponding soo..
CAB = DEF
ABC = EFD
ACB = EDF
EMJOY ;)
Find (fog)(x) when f (x) =
=-2 and 3(A)= = (I point)
2x
O Gog)(x) =
1+ 6x
1
O Gog)(x) =
2+3x
O Gog(x) =
x+3
4
1
Otog)(x)=
x+3
Finish
Cance
Answer:
A
Step-by-step explanation:
fog(x) = f(g(x) = f(1/2x) = 4x/(1+6x)
y+5=3/2(x-7) write in y=mx+b form
Answer:
[tex]y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
Notice how y is isolated in slope-intercept form.
[tex]y+5=\displaystyle \frac{3}{2} (x-7)[/tex]
To change this into slope-intercept form, isolate y.
Use the distributive property on the parentheses:
[tex]y+5=\displaystyle \frac{3}{2}x-\frac{21}{2}[/tex]
Subtract 5 from both sides:
[tex]y=\displaystyle \frac{3}{2}x-\frac{21}{2}-5\\\\y=\displaystyle \frac{3}{2}x-\frac{31}{2}[/tex]
I hope this helps!
The product of 4x and 0 is:
a- 4x
b- 4
c- 0
d- none of these
