Random sampling involves selecting a sample where each element of the sample have an equal probability of selection.
From the question, we understand that the director wants to make use of a stratified random sampling technique.
The stratified random sampling technique involves selecting the sample (i.e. 100 students), by dividing the whole undergraduate students into groups (i.e. strata), and then select a proportion from each group.
A possible way to achieve this, is as follows:
Divide the undergraduate students in faculties (assume the university has 10 faculties)Then select 10 students from each of the 10 faculties.With the above highlights, the director would be able to make the selection.
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How do I evaluate this
Answer:
The answer is 8
Step-by-step explanation:
c/7 ; c = 56
56/7 = 8
Thus, The answer is 8
-TheUnknownScientist 72
PLS HELP BRAINLIEST WILL BE GIVEN TO FIRST ANSWER!
Solve the rational equation x over 5 equals x squared over quantity 4x plus 2 and check for extraneous solutions.
x = 0; x = −2 is an extraneous solution
x = 2; x = 0 is an extraneous solution
x = 0 and x = 2
x = 0 and x = −2
Answer:
(C) x = 0 and x = 2Step-by-step explanation:
Given equation:
x/5 = x²/(4x + 2)Cross multiply and simplify:
x(4x + 2) = 5x²5x² = 4x² + 2xx² - 2x = 0x(x - 2) = 0x = 0or
x - 2 = 0 ⇒ x = 2Correct choice is C
[tex]\\ \sf\longmapsto \dfrac{x}{5}=\dfrac{x^2}{4x+2}[/tex]
[tex]\\ \sf\longmapsto x(4x+2)=5x^2[/tex]
[tex]\\ \sf\longmapsto 4x^2+2x=5x^2[/tex]
[tex]\\ \sf\longmapsto x^2-2x=0[/tex]
[tex]\\ \sf\longmapsto x(x-2)=0[/tex]
[tex]\\ \sf\longmapsto x=0\:or\:x=2[/tex]
If f(x - 1) = 2x + 3 for all values of x, what is the
value of f(-3)?
Answer:
-1
Step-by-step explanation:
F(x - 1) = 2x + 3.
Rewrite the right side (2x + 3)
F(x - 1) = 2[ x ] + 3
F(x - 1) = 2[ x - 1 + 1 ] + 3 = 2 [ (x - 1) + 1 ] + 3
= 2 (x - 1) + 2 + 3
= 2(x - 1) + 5
replace "x - 1" with "-3" :
F(-3) = 2(-3) + 5 = -1
Three out of every five pairs of socks in a package are brown. The rest are black. First, complete the model
shown for each question using the ratio given. Then, calculate your answer from the model and explain you
reasoning.
How many pairs of socks are brown in a package of 10 pairs of socks?
Answer:
brown = 6 pairs
Step-by-step explanation:
3/5 = brown
2/5 = black
Ratio black brown therefore = 2 : 3
package 10 therefore = 4 : 6
brown = 6 pairs
Use a graphing calculator to determine the solution of
1-2x - y = 2
13x + 2y=1
I NEED BOTH THESE QUESTIONS ANSWERED PLZZZZZZZZZZZZZZZZZZZ
Answer:
1) 1050 ft squared
2) 200 yards
Step-by-step explanation:
Hope this helps! Pls give brainliest!
If rolling a pair of dice, what is the probability of rolling a sum of 12?
A) 1/6
B) 1/12
C) 1/24
D) 1/36
Answer:
D. 1/36
Step-by-step explanation:
yeah-ya.... right?
What are some decimals for 9/2 other than 4.5
Answer:
1.4953
Step-by-step explanation:
You will need to break down 4.5
4√5
1.4953
Please answer! No links!!!!
Picture is included.
Answer:
It is C
Step-by-step explanation:
The square root of 61 is 7.81024967591 so it is an irrational number.
What is the length of an arc cut off by an angle of 3 radians on a circle of radius 6 inches?
I tried -2, -1, 0, 1, -3, -4, but it did not work. Any ideas on what the correct answer actually is?
y = -4, -3, -2, -1, 0, 1
Step-by-step explanation:
-5 < y < 2
y = -4, -3, -2, -1, 0, 1
-5 < -4, -3, -2, -1, 0, 1 < 2 ☑
A flying carpet flies 2.4 miles with the wind in the same amount of time it flies 1.4 miles against the wind. The wind speed is 4 mph. What is the speed of the flying carpet in still air?
Answer:
[tex]15.2~mph[/tex]
Step-by-step explanation:
Let the time flown by the flying carpet be [tex]t[/tex]. Then, we have that [tex](2.4)/t=(1.4)/t+2*4[/tex].
We multiply both sides of the equation by [tex]t[/tex] to get [tex]2.4=1.4+8t[/tex].
We subtract [tex]1.4[/tex] from both sides to get [tex]1=8t[/tex].
We divide both sides of the equation by [tex]t=1/8[/tex].
We know that the speed of the flying carpet in still wind is the average of the rates of the speed of the flying carpet with the wind and against the wind.
The speed with wind is [tex](2.4)/(1/8)=19.2[/tex]mph.
The speed against wind is [tex](1.4)/(1/8)=11.2[/tex]mph.
The speed in still wind is [tex](19.2+11.2)/2=(30.4)/2=15.2[/tex].
Therefore, the answer is [tex]\boxed{15.2~mph}[/tex] and we're done!
The speed of the flying carpet in still air is 15.2 mph
Let x represent the speed of the flying carpet in still air, and t represent the time.
Speed = distance/time
Since the wind speed is 4 mph, hence:
When flying with the wind:
x + 4 mph = 2.4/t (1)
When flying against the wind:
x - 4 mph = 1.4/t (2)
Dividing equation 1 by 2 gives:
(x + 4) / (x - 4) = 2.4/1.4
1.4x + 5.6 = 2.4x - 9.6
x = 15.2 mph
The speed of the flying carpet in still air is 15.2 mph
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Mr. Lopez ' company is losing $50 per day. Does this graph have a slope that represents this rate?
Answer:
k=(1000-600)/(0-10)=-40
Step-by-step explanation:
K is the slope
52 – 2g = 30
Complete the missing value in the solution to the equation.
(8.
)
Answer:
The answer is 5
Step-by-step explanation:
Since we already know what x we can just substitute it.
5(8)-2y=30
5 times 8 is 40
40-2y=30
Subtract 40 on both sides:
-2y=-10
Divide -2 on both sides:
y=5
Hope this helps!
And who is your bias for BTS?
(Edit) answer is 5 I guess
Answer:
g=11
Step-by-step explanation:
What I did was Isolate the variable by dividing each side by factors that don't contain the variable.
Set the equation equal to zero and factor the left side.
The factor answer would be 2(−g+11)=0
PLS HELP I WILL GIVE BRAINLIEST The dimensions of the dining room in Hisham's house are 8 mx 6 m. If the
dimensions of the tiles are 20 cm x 60 cm, how many tiles are needed to tile the
dining room according to the pattern mentioned in the first question?
280 tiles
400 tiles
420 tiles
480 tiles
Answer:
Step-by-step explanation:
Dining room:
length = 8 m = 8 *100 = 800 cm
width = 6m = 6 *100 = 600 cm
[tex]Number \ of \ tiles =\dfrac{area \ of \ the \ dinning \ room}{Area \ of \ a \ tile}\\\\[/tex]
[tex]= \dfrac{800 *600}{20*60}\\\\= 400 \ tiles[/tex]
[tex]5 {x}^{2} + 3 {x}^{2} + 6x = 3x - 6x + 9x[/tex]
find out x please fast please fast
Answer:
[tex]5 {x}^{2} + 3 {x}^{2} + 6x = 3x - 6x + 9x \\ 8 {x}^{2} + 6x = - 3x + 9x \\ 8 {x}^{2} + 6x = 6x \\ 8 {x}^{2} = 6x - 6x \\ 8 {x}^{2} = 0 \\ x = 0 \\ thank \: you[/tex]
What is the distance between two points with coordinates (32,12,5) and (20,3,13) in space?
The distance between two points with the given coordinates in space is;
Distance = 17 units
We are given the coordinates;
(32, 12, 5)
(20, 3, 13)
Formula for the distance between two points that have (x, y, z) coordinates is;d = √((x₂ - x₁)² + (y₂ - y₁)² + (z₂ - z₁)²)
From the equation given to us, we can see that;
x₁ = 32
x₂ = 20
y₁ = 12
y₂ = 3
z₁ = 5
z₂ = 13
Using the formula for the distance, we have;d = √((20 - 32)² + (3 - 12)² + (13 - 5)²)
d = √(144 + 81 + 64)
d = √289
d = 17
Thus, the distance between the two points is 17 units
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Find all real solutions of the equation (x - 3)^2= 9.
Bob received a grade of 89 for his English test. His math test was 5 more points than his English test. Find out the grade he needs to get on his science test to raise the mean score to 93.
Answer:
If I'm not mistaked the mean should be bumbed up by five.
Step-by-step explanation:
HELP MEEEEEEEEEE PWEEEEEEEEEEEEEEEEEZZZZZZZZZZZ
Answer:
the difference is 429
Step-by-step explanation:
you round 689.7 to 690 the minus that by 261, then you get 429.
Answer:
429
Step-by-step explanation:
689.7 - 261 = 428.7
answer approximated is 429
Simplify the ratio. 9.6 to 24
Answer: Well, the ratio is 2.5, so that, I think.
Step-by-step explanation:
If 33 is added to a number, it will be 4 times as large as it was originally. What’s the number?
Answer:
99
Step-by-step explanation:
33x3=99
Answer:
44
Step-by-step explanation:
4-1=3 (4 times minus what was original which is 1u)
3u=33
1u=33÷3=11
4u=11x4=44
Hope this helps! Thanks.
The bowling scores for six people are 112, 114, 115, 120, 122, 290. What si the most appropriate measure of Center?
We need mean .
Let's use python .
Program attached
Mean=145.5Answer:
[tex]{ \rm{mean = \frac{ \sum(fn)}{n} }} \\ [/tex]
• substitute and solve:
[tex]{ \rm{mean = \frac{112 + 114 + 115 + 120 + 122 + 290}{6} }} \\ \\ { \rm{mean = \frac{873}{6} }} \\ \\ { \boxed{ \rm{ \: center = 145.5 \: }}}[/tex]
a)
1 − sin x/
1 + cos x
,
Answer:
(1-sin(x))/(1+cos(x)) = (csc(x) - 1)(csc(x) - cot(x))
Step-by-step explanation:
(1 - sin(x)) / (1+cos(x)) =
[ (1-sin(x))/ (1+cos(x)) ] * (1-cos(x))/(1-cos(x)) =
(1-sin(x))(1-cos(x)) / (1 - cos^2(x)) =
(1-sin(x))(1-cos(x)) / (sin^2(x)) =
[ (1-sin(x)) / sin(x) ] * [ (1 - cos(x)) / sin(x) ] =
(csc(x) - 1)(csc(x) - cot(x))
the sum of two consecutive integers is 299. find the integers.
I HOPE THE ABOVE INFORMATION WILL HELP YOU.
THANK YOU.
TEDDYLOVER
Since the sum of two consecutive integers is 299, the integers are 149 and 150
What are integers?Integers are posiive or negative whole numbers.
Since the sum of two consecutive integers is 299. To find the integers., we proceed as follows.
Since the sum of two consecutive integers is 299.
Let the two consecutive integers be n and n + 1.
Since the sum of two consecutive integers is 299, we have that
n + n + 1 = 299
Adding like terms, we have that
n + n + 1 = 299
2n + 1 = 299
Subtracting 1 from both sides of the equation, we have that
2n + 1 = 299
2n + 1 - 1 = 299 - 1
2n + 0 = 298
2n = 298
Dividing both sides of the equation by 2, we have that
2n = 298
n = 298/2
n = 149
So, n + 1 = 149 + 1 = 150
So, the integers are 149 and 150
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wHAT IS THE DOMAIN OF THE FUNCTION fx=(x+1)/(x^2 +2x-3)
Answer:
Domain : R−{−1,3}
Range: R
Step-by-step explanation:
Equate the denominator(x2−2x−3) to zero, then solve the equation for x
→x2−2x−3=0
→x=−(−2)±√(−2)2−4⋅(1)⋅(−3)2⋅1
→x=1±2
⇒x=−1 and x=3
This means that, when x=−1 or 3, we have the x2−2x−3=0
Implying that f(x)=x0 which is undefined.
Hence, the domain is all real numbers except −1
and 3
Also written as Df=(−∞,−1)∪(−1,3)∪(3,+∞)
Find the equation of the line that passes through the point:
(-5, -3) with a slope of 2
Answer:
y=2x+7
Step-by-step explanation:
find (-5,-3)
use the slope to find the y intercept
intercept is (0,7)
use formula y=mx+b to plug in numbers
(slope is m and y intercept is b)
y=mx+b
y=2x+7
Brainliest?Please?
What is the Fraction of 140%
Answer:
140% is 140/100 = 7/5 is fraction
four times the sum of a number and 7 is 44 less than the number
Answer:
The number is 17.
Step-by-step explanation:
Let x be the unknown number.
4 times the sum of a number plus 7 would be
4x + 7
44 less than the unknown number (x) would be
x - 44
Now we connect everything.
4x + 7 = x - 44
4x - x = -44 - 7
3x = -51
x = -17
The algebraic representation of the expression is 4(x + 7) = x - 44
How to determine the algebraic representation of the expressionFrom the question, we have the following parameters that can be used in our computation:
four times the sum of a number and 7 is 44 less than the number
By definiton:
Sum means plus
Less than means minus
Using the above as a guide, we have the following:
4 * (x + 7) = x - 44
So, we have
4(x + 7) = x - 44
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The length of the side of a square whose area is 225 m² is _____.
Answer:
15
Step-by-step explanation:
Answer: 15
Step-by-step explanation:
you would have to find the square root of 225 and this is 15 so if you do 15x15 you will get 225
and if you need to find the perimeter you add up all the sides
15x4=60
The perimeter of a square is 60
1 side length of a square: 15
Hope this helped :)