The z-score of the number of teens that transfered schools is the standard score
The obtained value of z is 5
How to determine the value of z?The given parameters are:
Population mean, μ = 50Population standard deviation, σ = 10Sample, x = 100Sample mean = 59The z-value is calculated using:
z = (x - μ)/σ
Substitute known values in the above formula
z = (100 - 50)/10
Evaluate the difference
z = 50/10
Evaluate the quotient
z = 5
Hence, the obtained value of z is 5
Read more about z-scores at:
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(01.02 LC)Simplify 5 − (−1). 6 −6 4 −4
Answer:
=57
Step-by-step explanation:
Multiply and divide left to right
then add and subtract left to right
Lana used the two blocks pictured in the diagram to build a tower. What is the total volume, in cubic inches, of the tower Lana built?
Answer:
120
Step-by-step explanation: 4x10x2 +2x5x4 =80+40=120 cubic inches
Answer:
Step-by-step explanation:
Every 24 hours, the earth rotates 360° about its axis. How
long does it take to rotate 150°?
A. 8 h
B. 10 h
C. 18 h
D. 20h
360 degrees / 24 hours = 15 degrees per hour
150 degrees / 15 degrees per hour = 10 hours
Answer: 10 hours
Which list of angle measures could be the angle measures of a triange?
Answer:
angles of triangle adds up to 180 degrees
1) Find the lateral surface area of the rectangular prism in centimeters
A) 96 cm?
B) 108 cm
126 cm
D) 142 cm?
Answer:
It is B because
Step-by-step explanation:
3 x 9 x 4 = 108
PLEASE help me. Please, I beg you.
How does the Vietnam War influence policies and decisions made in the United States today? Justify your response.
This is the war between the communist governmrnt of Vietnam North and the South Vietnam. The United States of America were the main ally of the Vietnam south during the war.
The communist Vietnam North later united with the south with a common name Socialist Reepublic of Vietnam, After a fierce onslaught that took the life of about 58000 americans and over 2 million Vietnamese.
The influence of the Vietnam war in United States today
1. End of the drafts
The drafts is the method of conscription to the military that requires vitually every male between the age of 18 - 25 in United States to register with the selective service. since the end of the Vietnam war in 1975 the draft stopped hence no penalty for not registering to the draft.
2. Granting 18 years old the right to vote
26th Amendment of the United States Constitution gave right to vote to the 18 years old citizens. Today 18 tear old American has right to vote. This was evolvement of the war and still holds till date.
3. It is easier getting into a war than getting out of a war
Americans was pulling out of the Vietnam war when they suffered the huge massacre. This lesson was helpful for president George H W Bush during the 1991 Persian Gulf War were he systematically exited after liberating Kuwait
Read more on Vietnam war here: https://brainly.com/question/24845081
find the angle between vectors a =(1,2) and b = (1,-1/2). Brainliest for correct answer. Look at photo.
Answer:
90°
Step-by-step explanation:
The angle between the vectors can be found any of several ways. Here, we observe that the segments from the origin to the two points are at right angles to each other. (Their slopes are opposite reciprocals.) Hence the angle between the vectors is 90°.
__
The slope to point 'a' is y/x = 2/1 = 2.
The slope to point 'b' is y/x = (-1/2)/1 = -1/2.
The product of these slopes is (2)(-1/2) = -1, indicating the vectors are perpendicular. The angle between them is 90°.
__
We can also use the trig formula for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangents are the slopes, calculated above, so we have ...
tan(α -β) = (2 -(-1/2))/(1 +(2)(-1/2)) = (5/2)/0 = undefined
The tangent is undefined for angles that are odd multiples of 90°. The angle between the vectors is 90°.
I’m trying to find the absolute Max and min, I can’t figure out how to do the derivative, thanks
Step-by-step explanation:
Step 1: Take the First Derivative This means only differentiate once.
Disclaimer: Since absolute value only take positve outputs and quadratics only take positve outputs, we can get rid of the absolute value signs so we now have
[tex]e {}^{ {x}^{2} - 1 } [/tex]
We have the function x^2-1 composed into the function e^x.
So we use chain rule
Which states the derivative of a function composed is the
derivative of the main function times the derivative of the inside function.
So the derivative of the main function is
[tex] \frac{d}{dx} (e {}^{x} ) = e {}^{x} [/tex]
Then we replace x with x^2-1
[tex]e {}^{ {x}^{2} - 1} [/tex]
Then we take the derivative of the second function which is 2x so qe multiply them
[tex]e { }^{ {x}^{2} - 1 } 2x[/tex]
Step 2: Set the equation equal to zero.
[tex]e {}^{x {}^{2} - 1} 2x = 0[/tex]
Since e doesn't reach zero. We can just set 2x=0.
[tex]2x = 0 = x = 0[/tex]
So the critical point is 0.
Since e^x will never reach zero
Since 0 is the only critical point, this where the max or min will occur at.
Next we pick any numbergreater than zero, and plug them in the derivative function which gives us a positve number.
Any pick less than zero will give us a negative number.
Since the function is decreasing then increasing, we have a minimum.
Since 0 is the only critical point, we have a absolute minimum at 0.
To find the y coordinate, plug 0 in the orginal function.
Which gives us
[tex]e {}^{ {0}^{2} - 1 } = e {}^{ - 1} = \frac{1}{e} [/tex]
So the minimum occurs at
(0,1/e).
Guys please help! i will mark brainliest to the right answers
Note: in order for me to mark a brainliest 2 people need to answer
Answer: first one is y=9x+5
second on is 4x-3y=-2
Step-by-step explanation:
5h-2g=26
2h + 2g 2
find h and g
Answer:
g = -3, h = 4.
Step-by-step explanation:
5h - 2g = 26
2h + 2g = 2 Adding the 2 equations:
7h = 28
h = 4.
Substituting for h in the first equation:
5(4) - 2g = 26
-2g = 26 -20 = 6
g = -3.
James asked 50 pupils which drink they liked best from cola, milk and water.
23 boys were included in the survey.
11 of the boys said that cola was their favourite.
3 boys liked water best and 7 girls liked water best.
22 pupils altogether said that milk was their preferred drink.
How many pupils altogether said that cola was their favourite drink?
Answer:
18 pupils
Step-by-step explanation:
11 like cola
32 like other stuff
11+32=43 - 50-43=7
therefore 11+7=18
18 students like cola the best
evaluate f ( - 5 ) =
Answer: −5
Step-by-step explanation:
simplify: (−5)
Re-order terms so constants are on the left:
(−5)f(−5)−5
What is the gradient of the graph shown below. Give answer in simplest for
Answer:
1
Step-by-step explanation:
Choose two points on the line: (-5, 0) and (0, 5)
Let the first point [tex](x_1,y_1)[/tex] = (-5, 0)
Let the second point [tex](x_2,y_2)[/tex] = (0, 5)
Use the gradient formula:
[tex]\textsf{gradient}=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{5-0}{0-(-5)}=1[/tex]
----------------------------------------------------------------------------------------------------
If you want to find the equation of the line, use the point-gradient form of a linear equation: [tex]y-y_1=m(x-x_1)[/tex]
(where [tex]m[/tex] is the gradient and [tex](x_1,y_1)[/tex] is a point on the line)
Substituting the values into the formula:
[tex]\implies y-0=1(x-(-5))[/tex]
[tex]\implies y-0=x+5[/tex]
[tex]\implies y=x+5[/tex]
Therefore, the equation of the line is y = x + 5
Brainliest if correct
Answer:
6.6072 >6.6>6.09>6.009
Step-by-step explanation:
I believe that is it
In the grocery store, eggs are sold in cartons of 12. Write five
ordered pairs made from the corresponding terms of these
two patterns, based on selling 0 to 4 cartons of eggs.
Pattern A: number of cartons sold
Pattern B: number of eggs sold
Plot the points on the plane to the right.
Describe the relationship between the coordinates of the ordered pairs.
find the circumference with radius (Y) cm?
Answer:
circumference = 2*PI*Y
Step-by-step explanation:
Find the larger solution of the exponential
equation
2^x^2= 4^3x
Answer:The larger solution is 6
Step-by-step explanation:
the area of a rectangle is 78 square meters. The length of the rectangle is one more than twice the width. What are the dimensions of the rectangle?
NO FILES PLEASE
[tex]area \: = 78[/tex]
[tex]area = length \: \times \: width[/tex]
[tex]78 = (x)(2x + 1)[/tex]
[tex]x = 6[/tex]
Thus the dimensions are 6 & 13
Answer:
6&13.All you need to do is find the factors of 78 and plug the smaller number into the equation provided in the equation. 2x+1 is our equation. so6*13 is 78 and 2x+1=13... 6for x to get 2*6+1=13
Step-by-step explanation:
Find the domain of the function f(x) 4 x - 7.
Answer: The domain of this function is any real number. More mathematically it is put as
-∞ < x <+∞
Answer:
The domain of this function is any real number. More mathematically it is put as
-∞ < x <+∞
Step-by-step explanation:
Young Sally went Trick or Treating last Halloween, In her treat bag were 15 pieces of gum, 7 lollipops, 8 tootsie rolls, 6 candy bars, and an apple.
a) Candy bars are her favorite. What percent of her treats are candy bars?
b) She really does not like gum or apples, What percent of the treats things she does not like?
Answer:
A: 16.2% (if you need it rounded, it is 16%)
B: 43.2% (if you need it rounded it is 43%)
Step-by-step explanation:
We need to find the candy bar percentage rate so we divide the amount of candy bars, by the total about of treats collected.
15 + 7 + 8 + 6 + 1 = 37
Now we divide the cady bars by the total amount:
6/37 = 16.2%
Now we do the same thing again but this time with the apples and gum:
16/37 = 43.2%
You did it!
Have a great day!!
Please rate and mark brainliest!!
Logan and Rita each open a savings
account with a deposit of $8,100. Logan's
account pays 5% simple interest annually.
Rita's account pays 5% interest
compounded annually. If Logan and Rita
make no deposits or withdrawals over the
next 4 years, what will be the difference in
their account balances?
Answer: 134. 89 $
Step-by-step explanation: Dina wishes to 1000$ deposit into an investment account and then withdraw the total in the account in five years. She has the choice of two different accounts. Blue Star account: interest is earned at an annual interest rate of 6.13% compounded weekly (52 weeks in a year). Red Star account: interest is earned at an annual interest rate of 5.95% compounded continuously. Which investment account - Blue Star or Red Star - will result in the greatest total at the end of five years? What is the total after five years for this account? How much more is it than the total for the other account?
Find the total surface area of the figure below.
Answer:
37.5 sq.cm⠀
Step-by-step explanation:
⠀
We know,
[tex] {\longrightarrow \qquad \boldsymbol{\pmb{Total \: \: surface \: \: area_{(cube)} = 6a {}^{2} }}}[/tex]
⠀
Where,
a is the side length of the cube. Here, a = 2.5 cm⠀
Now, Substituting the values in the formula :
⠀
[tex]{\longrightarrow \qquad \rm{{Total \: \: surface \: \: area_{(cube)} = \sf 6 \times( 2.5) {}^{2} }}}[/tex]
⠀
[tex]{\longrightarrow \qquad \rm{{Total \: \: surface \: \: area_{(cube)} = \sf 6 \times6.25 }}}[/tex]
⠀
[tex]{\longrightarrow \qquad \boldsymbol{ \pmb{Total \: \: surface \: \: area_{(cube)} = \it 37.5 }}}[/tex]
⠀
Therefore,
Total surface area of the cube is 37.5 cm²Answer:
37.5 cm²
Step-by-step explanation:
Given:-
Side of cube :- 2.5cmTo find:-
Total Surface AreaSolution:-
Total surface area of cube :- 6a²
6(2.5)² sq. cm
37.5 cm²
3w-v4w3 I just need the answer please
Answer:
7(3/bc)c
Step-by-step explanation:
3/bc+c+7
(3/bc)c+7
7(3/bc)c
multiply the two plynomials
(x + 3)( + 9)
(x + 2)(x + 9)
(x - 8)(x - 6)
im really looking for ways to solve it rather than the solution because it would make my hw alot easier. thanks!
Answer:
1. x² + 12x + 27
2. x² + 11x + 18
3. x² + -14x + 48
Step-by-step explanation:
When you multiply polynomials, you use FOIL.
First
Outer
Inner
Last
For example, to solve the first polynomial (x + 3)(x + 9), you would multiply the first term in each parenthesis to each other. In this case, it would be x · x, which would be equal to x². The next step would be to multiply the first term in the first parenthesis to the last term in the second parenthesis, which are the outer terms. You get 9x when you multiply x by 9. Then, you multiply the inner terms of the polynomial, which is the last term of the first parenthesis and the first term of the second parenthesis. You get 3x. The last part of FOIL is to multiply the last term in each parenthesis to each other. You would multiply 9 and 3 and get 27. Your answer would be x² + 9x + 3x + 27. Simplify the equation to get x² + 12x + 27. That is your final answer. Do the same thing to the other equations to find the answer. (MAKE SURE TO CHECK THE SIGN OF THE TERMS YOU ARE MULTIPLYING FIRST. )
I hope this helped and please mark me as brainliest!
solve this problem pls
Answer:
1) 200.
Step-by-step explanation:
Men = 1/³
Women = ⅔
50 men, 100 women
2:1 women to men.
there are 200 people in total.
Answer:
total people : 600
Explanation:
Let the total people be x,
men : [tex]\sf \dfrac{1}{3} (x)[/tex]
women : [tex]\sf \dfrac{2}{3} (x)[/tex]
[tex]\hookrightarrow \sf \dfrac{2}{3} (x) - \sf \dfrac{1}{3} (x) = 200[/tex]
[tex]\hookrightarrow \sf \dfrac{1}{3} (x) = 200[/tex]
[tex]\hookrightarrow \sf x = 600[/tex]
There are total 600 people.
men : (1/3)*600 = 200women : (2/3) * 600 = 400Click an item in the list or group of pictures at the botto
correct position in the answer box. Release your mouse
the item to the trashcan. Click the trashcan to clear all y
Rationalize the denominator and simplify.
Answer:
multiply the top number then divide the bottom
Step-by-step explanation:
Malcolm draws this map of his neighborhood . Help please and thank you!!!!!
Answer:
Alden, perpendicular, Elm, parallel
Step-by-step explanation:
Shoe Size
2
4
6
8
10
12
At soccer practice, Mike asked each of his teammates to write down their shoe size.
What is the interquartile range for Mike's teammates' shoe sizes?
Answer:
2
Step-by-step explanation:
To find the interquartile range, subtract the lower quartile from the upper quartile.
The upper quartile is 7.
The lower quartile is 5.
Subtract.7–5=2
The interquartile range for Mike's teammates' shoe sizes is 2 sizes.
The interquartile range for Mike's teammates' shoe sizes is R = 2
What in Interquartile Range ( IQR )?The distance between the upper and lower quartiles is known as the interquartile range. Half of the interquartile range corresponds to the semi-interquartile range. Finding the values of the quartiles in a small data set is straightforward.
The spread of the data, or statistical dispersion, is measured by the interquartile range. The middle 50%, fourth spread, or H-spread are further names for the IQR. It is described as the spread between the data's 75th and 25th percentiles.
Given data ,
Let the interquartile range be represented as R
Now , the equation will be
Let the shoe sizes be represented as set A
A = { 2 , 4 , 6 , 8 , 10 }
Now , the upper range of the quartile is = 7
The lower range of the quartile is = 5
And , the interquartile range R = upper quartile - lower quartile
On simplifying , we get
The interquartile range R = 7 - 5 = 2
Hence , the interquartile range R = 2
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Which is the graph of 4x – 3y = 12?
Answer:
it is the last graph
Step-by-step explanation:
Adisa has $195.00. He wants to buy as many calculators as possible. Each calculator costs $6.50. Part A Create an equation that can be used to determine the number of calculators, C, Adisa can buy. Drag and drop the options to the empty boxes to create your equation. A ? = 6.50 С + 195.00 Part B How many calculators can Adisa buy? Enter your answer in the box.
Answer:
Step-by-step explanation:
Equation
Part A
# Calculators = Total amount / Cost of 1 calculator
Givens
# Calculators = ?
Total amount of money = 195 dollars
Cost of one calculator = 6.50
Solution
# Calculators = 195/6.50
# Calculators = 30
Answer: He can buy 30 calculators.