Answer:
Step-by-step explanation:
The total number of students is 1800 + 1200 = 3000
The % of boys who did not pass is 100% - 32% = 68%
The number of boys who did not pass is 68/100 * 1800 = 1224
The % of the girls who did not pass is 100% - 50% = 50%
The number of girls who did not pass was 50/100 * 1200 = 600
The total number who did not pass was 1824
The % who did not pass was 1824/3000 * 100 = 60.8%
The equation 3x² - 4x + 6 = 0 has the roots α and β . Find the new equation with the roots (α/β²) and (β/α²) .
Answer:
[tex]{ \tt{sum = \alpha + \beta = \frac{4}{3} }} \\ { \tt{product = \alpha \beta = \frac{6}{3} = 2}} \\ \\ new \: roots : \\ { \bf{sum = \frac{ \alpha }{ { \beta }^{2} } + \frac{ \beta }{ { \alpha }^{2} } }} \\ \\ { \bf{ = \frac{ { \beta }^{2} \alpha + { \alpha }^{2} \beta }{ { (\alpha \beta )}^{2} } }} \\ \\ = { \bf{ \frac{ \alpha \beta ( \alpha + \beta )}{ {( \alpha \beta )}^{2} } }} \\ \\ = { \tt{ \frac{2( \frac{4}{3}) }{2 {}^{2} } }} \\ \\ sum = \frac{2}{3} \\ \\ { \bf{product = \frac{1}{ \alpha \beta }}} \\ = \frac{1}{2} \\ \\ { \boxed{ \tt{equation : {2x}^{2} + \frac{4}{3} x + 1 }}}[/tex]
Four spheres of radius 6 cm just fit inside a cylinder.
Calculate the volume inside the cylinder that is empty.
Leave your answer in terms of pi.
Answer:
1152\pi\
Step-by-step explanation:
Martina read that the average graduate student is 33 years old. She wanted to estimate the mean age of graduate students at her large university, so she took a random sample of 30 graduate students. What is Martina's margin of error?
Answer: Martina's margin of error is 1.5.
Step-by-step explanation:
Given: Average graduate student (upper limit) = 33
Random sample graduate student (lower limit) = 30
Formula to calculate margin of error is as follows.
Margin of error = [tex]\frac{upper limit - lower limit}{2}[/tex]
Substitute the values into above formula as follows.
[tex]Margin of error = \frac{upper limit - lower limit}{2}\\= \frac{33 - 30}{2}\\= \frac{3}{2}\\= 1.5[/tex]
Thus, we can conclude that Martina's margin of error is 1.5.
Mr Yadav buys a radio for Rs 640 and sells it for Rs 672 Find it's profit percent
Answer:
Here,
C.P.=RS 640
S.P.=RS 672
Now,
we know that,
profit= S.P. - C.P.
= rs 672- rs 640
= rs 32.
and,
p % = profit/c.p *100
= rs 32/rs 640*100
=rs 5
wish its help you
Find the sum of the series
{1875 + 750 + 300+...
+3.072}
Answer:
Find the indicated sum for each geometric series.
{1875+750+300+⋯+3.072}
Answer: 3122.952
Step-by-step explanation:
{1875+750+300+⋯+3.072}
r=0.4 3.072=1875(0.4)n−1
0.0016384=(0.4)n−1
7=n−1→n=8
Sn=1875(1−(0.4)8)1−0.4=3122.952
I think is like this.
Find the measure of the missing angles to name the shortest and longest sides. (2x) x+15) 1. X= 2.
Answer:
KINDLY CHECK EXPLANATION
Step-by-step explanation:
The triangle Given is right angled :
Hence, the sum of the two angles = 90°
Hence, 2x + (x + 15) = 90
2x + x + 15 = 90
3x = 90 - 15
3x = 75
x = 75 / 3
x = 25
2x = 2 * 25 = 50
(x + 15) = 25 + 15 = 40
Hence, largest angle = angle Y
Largest side = side opposite largest angle = AD
smallest angle = (x + 15) = 40
Smallest side = side opposite smallest angle = AY
Larry works at the Gap Clothing Store. He works 15 hours week. If his manager cuts all employee hours by 20%, how many hours a week will Larry work now.
Answer:
12 hours
Step-by-step explanation:
Find 20% of 15 hours
15 * 20%
15 * .2
3
Subtract this because his hours are cut
15-3
12
What is the explicit formula for this sequence?
2, 10, 50, 250, 1250, ...
O A. an = 2(5)(n-1)
O B. an = 5(2)(n-1)
O C. a, = 2 + (5)"
O D. an = 2(5)"
Answer:
O D. an = 2(5)"
Step-by-step explanation:
Given the expression/sequence below
2, 10, 50, 250, 1250, ...
O D. an = 2(5)"
The explicit formula is C
a0= 2*5^0= 2
a1=2*5^1= 10
a2= 2*5^2= 50
a3=2*5^3= 250
a4=2*5^4= 1250
Need help on this!!! 10 points!!!
What is the vertex of the function f(x) = x2 + 12x?
(–6, –36)
(–6, 0)
(6, 0)
(6, –36)
Answer:
(- 6, - 36 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
f(x) = x² + 12x ← is in standard form
with a = 1, b = 12, c = 0 , then
x = - [tex]\frac{12}{2}[/tex] = - 6
Substitute x = - 6 into f(x) for corresponding value of y
f(- 6) = (- 6)² + 12(- 6) = 36 - 72 = - 36
vertex = (- 6, - 36 )
Answer:
A: (-6, -36)
Step-by-step explanation:
This should be the right answer on edge,
please correct me if I'm wrong.
Help is appreciated:)
Answer:
252 in^3
Step-by-step explanation:
7*3*12 = 252
252*.04 = $10.08
Which is NOT an example of continuous data?
A)
time it takes to cut the grass
B)
Lifetime (in hours) of a flashlight battery
C)
weights of dogs in animal shelter
D)
number of cheeseburgers sold yesterday at a drive-thru
Answer:
Solution
Height is not an example of a continuous variable.
D) The number of cheeseburgers sold yesterday at a drive-thru is not an example of continuous data.
Here, we have,
Continuous data refers to numerical data that can take on any value within a certain range or interval. It typically involves measurements or quantities that can be expressed as real numbers.
A) The time it takes to cut the grass can be measured in minutes or seconds, and it can take on any value within a range. This is an example of continuous data.
B) The lifetime (in hours) of a flashlight battery is a continuous variable. It can take on any value within a range, such as 5.3 hours, 10.7 hours, or any decimal or fractional value.
C) The weights of dogs in an animal shelter can be measured in pounds or kilograms and can take on any value within a range. This is also an example of continuous data.
D) The number of cheeseburgers sold yesterday at a drive-thru is a discrete variable. It represents a count or a whole number, such as 50 cheeseburgers, 100 cheeseburgers, etc. Discrete data involves distinct values and is not continuous.
Therefore, option D is not an example of continuous data.
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rotation,
glide reflection,
reflection,
translation.
Answer:
it appears to have TRANSLATED
The bus seats 36 people. The van seats 12 people. What portion of seats are van seats?
we want to factor the following expression (x-3)^2-10(x-3)+25 which pattern can we use to factor the expression
Answer:
This question is asking for the pattern , not the factoring of it...
this is the [tex](a+b)^{2} pattern = a^{2} + 2ab + b^{2}[/tex]
Step-by-step explanation:
Answer:
(x - 8)²
Step-by-step explanation:
This is in the form of a perfect square, that is
(x + b)² = x² + 2bx + b²
with x = x - 3 and by comparison of like terms
2b = - 10 ⇒ b = - 5
Then
(x + b)²
= (x - 3 - 5)²
= (x - 8)² ← in factored form
Please help me as soon as possible!
36 - 2s² + t²
S = 2
T = 8
Answer:
i think its 20
Step-by-step explanation:
What is the domain of function g if g(x)= f(x)-12?
Using translation concepts, it is found that the domain of g(x) = f(x) - 12 is the same domain of f(x).
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, we have that g(x) = f(x) - 12, that is, g(x) is a shift down of 12 units of f(x).
The domain of a function is the set that contains all possible input values for the function. A shift down does not add any restriction to the function, hence the domain of f(x) and g(x) are the same.
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Subtract the second equation from the first. 4x+3y = 17 (4x + y 9)
A. -8x = 26
B. 4y= 8
C. 8x = 26
D. 2y = 8
Answer:
D
Step-by-step explanation:
4x+3y -4x -y = 17 -9
<=> 2y =8
can you help me do this Q I can't seem to get it :)
9514 1404 393
Answer:
x = 3∠IEH = 61°∠IHE = 35°Step-by-step explanation:
There are a couple of useful facts about parallelograms that can be used here.
1) The diagonals bisect each other.
2) Opposite sides are parallel, so each diagonal can be considered a "transversal" with respect to parallel lines. That means all of the angle relationships involving parallel lines apply.
__
The two marked sections of diagonal GIE are congruent, so you have ...
3x +1 = 10
3x = 9 . . . . subtract 1
x = 3 . . . . . divide by 3
__
Angles IEH and IGF are "alternate interior" angles, so are congruent.
angle IEH = 61°
__
Angles IHE and IFG are "alternate interior" angles, so are congruent.
angle IHE = 35°
Jessica filled the birdbath in her yard with 4 liters of water. How many milliliters of water did she put in the birdbath?
Answer:
4,000 milliliters
Step-by-step explanation:
There are 1,000 millililters in one liter. 4*1,000=4,000.
Answer:
4,000 mL
Step-by-step explanation:
there are 1,000 mL in one liter so there are 4,000 mL in four liters
A store kept track of its total sales for three weeks in a row. This table shows how much money in sales the store earned each week.
How much more money in sales did the store earn in sales in week 2 than in weeks 1 and 3 combined?
$2,519
$2,421
$2,419
$1,294
Week Sales ($)
1 13,674
2 28,473
3 12,380
Answer:
$2419
Step-by-step explanation:
week2 - (week1 + week3) = difference
28473 - (13674 + 12380) = 2419
Put these numbers in order from least to greatest.
1 1/8, 0.7, and 1.4
Answer:
1.4, 1 1/8, 0.7
Step-by-step explanation:
1 1/8 is equal to 1.125 which it makes it less than 1.4 but more than 0.7.
Answer:
[tex]0.7, \frac{11}{8},1.4[/tex]
Step-by-step explanation:
In order to understand what numbers are greater and what numbers are smaller, we need to make them have the same common denominator. So firstly, we turn all of these numbers into fractions, and we get...
[tex]0.7 = \frac{7}{10}\\\\1.4 = \frac{14}{10}\\\\\frac{11}{8 }= \frac{11}{8 }[/tex]
Now we, need to find the least possible number divisible by 10 and 8, to find the least common denominator. And we get, that the least common denominator is 40, and knowing this, now we have to take each fraction and turn it into an equivalent fraction with the denominator of 40. So we do...
[tex]\frac{11}{8}= \frac{(11)(5)}{(8)(5)}= \frac{55}{40}\\\\\frac{7}{10} = \frac{(7)(4)}{(10)(4)} = \frac{28}{40} \\\\\frac{14}{10} = \frac{(14)(4)}{(10)(4)} = \frac{56}{40}[/tex]
Now we can put these fractions in order from least to greatest...
[tex]\frac{28}{40} < \frac{55}{40}<\frac{56}{40}[/tex]
Therefore, we know that...
[tex]0.7 < \frac{11}{8} < 1.4[/tex]
Which of the points are solutions to the inequality? Check all that apply.
(-3, 3)
(-2, -2)
(-1, 1)
(0, 1)
(2, 5)
Answer:
(-2,-2)
(0,1)
(2,5)
Step-by-step explanation:
(-3,3) and (-1,1) are not solution even though they lie on the line because the line is dashed and not solid
The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have
concessions and restrooms. Arrange the structures in the sports complex using translations, reflections, and rotations so that the final
arrangement satisfies each of these criteria:
. All the fields and buildings fit on the provided lot.
• Each field is adjacent to at least one building for ease of access.
. Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.)
• For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball
field.
Answer:
See Explanation
Step-by-step explanation:
(Please Find Diagram in the attachment)⇒Answer Drawing is Given There.
According to the question,
Given that, The city of Plainview is building a new sports complex. The complex includes eight baseball fields, four soccer fields, and three buildings that have concessions and restrooms. Now, Arrange the structures in the sports complex using translations, reflections, and rotations so that the final arrangement satisfies each of these criteria: All the fields and buildings fit on the provided lot. Each field is adjacent to at least one building for ease of access. Two or more fields can be adjacent, but no two fields should share the same boundary (e.g., a sideline or a fence.) For safety reasons, no baseball field should have an outfield (the curved edge) pointed at the side (the straight edges) of another baseball fieldP={x:x is a natural number,x<9
Answer:
x:x = 1 so it is a natural number
Step-by-step explanation:
it can be any negative number because: -x<9
and any number from 1 to 8
(x cannot be 0, because you cannot do 0/0 = 1)
What is the value of the natural logarithm when x=0.5 is rounded to the nearest hundredth?
A.1.61
B.-0.30
C.-0.69
D.0.70
On the last day of a Shakespeare class, an English teacher asked her students which play
they liked the best, and she recorded the results to date.
2 liked Hamlet
8 liked Twelfth Night
2 liked a Midsummer Night's Dream
What is the experimental probability that the next student to respond likes Hamlet best?
Write your answer as a fraction or whole number
Answer:
ok so if we add this up we get that there is 14 kids in the class who have been polled and 2/14 or 1/7 likes hamlet so the chance is 1 out of 7
The experimental probability that the next student to respond likes Hamlet best is [tex]\frac{1}{6}[/tex] .
Concept:Probability = [tex]\frac{Favourable \ Outcomes }{Total \ Outcomes}[/tex]To find total outcomes, we will add all the students.To find the favorable outcomes, we will count the number of students that likes hamlet.How to solve the given question?Probability = [tex]\frac{Favourable \ Outcomes }{Total \ Outcomes}[/tex]Total Outcomes = 2 + 8 + 2 = 12Favorable outcomes = 2∴ [tex]P(E) = \frac{Favourable \ Outcomes }{Total \ Outcomes} = \frac{2}{12} =\frac{1}{6}[/tex]Thus, the experimental probability that the next student to respond likes Hamlet best is [tex]\frac{1}{6}[/tex] .
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Determine whether the given equation has one solution, no solution, or infinitely many solutions. 2/3 x=9-2(-1/3x+3)
infinitely many solutions
no solution
cannot be determined
one solution
Find three solutions of the equation.
y = -2x - 1
Step-by-step explanation:
three solutions of the equation:
y = -2x - 1
=>
1) (0, -1)
2) (1, -3)
3) ( -1, 1)
A triangle has vertices (-1, 2), (3, 1), and (7.2). What is the approximate perimeter of the triangle? Round your answer to the nearest hundredth
Answer
16.25
Step-by-step explanation: To The Nearest Hundredth
(-1, 2), (3, 1)
√17
(3, 1), (7, 2)
√17
(3, 1), (7, 2)
√8
So our answer is =
8 + √17 + √17 = 16.25
hope it works for you!
