Answer:
B
Step-by-step explanation:
A biased sample is a sample that does not accurately represent the population.
The survey asked only girls, but we can assume this school has both boys and girls. Therefore, by only asking girls, it creates a bias, because the boys in the school are not represented.
Therefore, the correct choice is B: biased sample.
The rectangle below has an area of x^2-6x-7 sq meters and a width of x-7 meters.
What expression represents the length of the rectangle?
Length=______ meters
Answer:
Length = ( x - 1 ) ( m)
Step-by-step explanation:
Area of rectangle is:
A(r) = l*w ( in m² ) where l is the length in m and w is the width in m
If we have: A(r) = x² - 6*x - 7 (m²), as an area of a rectangle, then we can factoring the equation, and get the rectangle dimensions, then:
x² - 6*x - 7 = ( x - 1 ) * ( x - 7 ) = area of the rectangle in m²
As problem statement establishes that ( x - 7 ) ( m) is the width, then
( x - 1 ) ( m) is the length
4 x^{2} -12 x +9 = 0
Rewrite the equation by completing the square.
Answer:
Step-by-step explanation:
[tex]4x^2-12x+9=0\\4*9=36\\6+6=12\\6*6=36\\4x^2-(6+6)x+9=0\\4x^2-6x-6x+9=0\\2x(2x-3)-3(2x-3)=0\\(2x-3)(2x-3)=0\\(2x-3)^2=0[/tex]
Answer:
[tex](x-\frac{3}{2}) ^{2}[/tex]
Step-by-step explanation:
When we complete the square, we take the b value from the equation:
a[tex]x^{2}[/tex] + bx + c = 0, and plug it into [tex](\frac{b}{2})^{2}[/tex] ..
First step is to make the coefficent of x go away. By dividing by 4.
x^2 - 3x + 9/4 = 0
now plug into the equation
(-3/2)^2 = 9/4 <-- because the square is parantheses, the negative goes away. Notice how there is a 9/4 already in our equation, meaning we dont have to do anything and simply can find the answer!
(x - 3/2)^2 = 0
For a field trip 5 students rode in cars and
the rest filled ten buses. How many students
were in each bus if 215 students were on the
trip?
Answer:
21
Plz mark me brainliest
Step-by-step explanation:
Answer:21 students were on each bus.
Step-by-step explanation:
215-5=210
210/10=21 the number of students divided by the number of buses
Please help!
You roll a 6-sided die two times.
What is the probability of rolling a number less than 3 and then rolling a 6?
Simplify your answer and write it as a fraction or whole number.
Answer:
number less than 3=1 and 2
so 2/6 = 1/3 in lowest terms
then rolling a 6 =
there is only one 6 so it will be 1/6
I hope I helped
please help me quickly !!
Answer:
A.
Jada should have multiplied both sides of the equation by 108.
Step-by-step explanation:
-4/9=x/108
you must multiply both sides
108*-4/9 = x*108
=-9/4
Which equation can be used to find the volume of this solid?
4 cm
5 cm
TTT
3 cm)
O V-3x5x4
O V-3+5+4
O V=5x4
OV=3x5
Answer:
V = 3×5×4 cm^3
Step-by-step explanation:
The solid used in the question is assumed to be a rectangular box.
The volume of a rectangular box is;
Volume = length × Breadth × height
Given the dimensions of the box as;
4cm by 5cm by 3cm.
The volume V of the box can then be written as the product of the dimensions;
V = 3cm × 5cm × 4cm
V = 3×5×4 cm^3
Answer:a
Step-by-step explanation:
Today is your lucky day! You have just won a contest, and they can pay you your prize in two different ways.
Option one is to pay you $10,000 every 10 days, for 30 days.
Option two is a prize of a penny that doubles every day, for 30 days.
Which option would you choose?
Answer:penny
Step-by-step explanation:
Answer:
I would choose option two. Option one will make me a total of $30,000. Option two will make a total of $5,368,709.12.
Help me I need this asap
Answer:
1) I think its helps to rename a function as tenths or hundredths when you want to write the decimal equivalent because for example if you wanted to rename this function 6/25 to 24/100 you can know were you put it in decimal (0.24).
2) It was a good idea to change 4/16 to 1/4 to determine a decimal equivalent because it would be easier to put 1/4 in a decimal equivalent.
3) You write the decimal 0.12 as 3/25
4) I dont know...sorry that I cant help with this...I dont know the answer to this question
Step-by-step explanation:
The lines below are perpendicular. If the slope of the green line is ą, what is
the slope of the red line?
Answer:
See below
Step-by-step explanation:
If i recall right when two slopes are perpendicular one slope is supposed to be the negative reciprical of the other slope, because of this I think your answer should be B. -\frac{2}{3}
Hope this helps
The lines are perpendicular and the slope of the red line is m₂ = -2/3
What is an Equation of a line?The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
Now , the slope of the line is m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Substituting the values in the equation , we get
Slope m₁ = 3/2
So , the slope of the green line is m₁ = 3/2
Since the lines are perpendicular to each other , the product of their slopes will be equal to -1
And , m₁ x m₂ = -1
So , ( 3/2 ) x m₂ = -1
Multiply by ( 2/3 ) on both sides , we get
m₂ = ( -2/3 )
Therefore , the slope of the red line is ( -2/3 )
Hence , the slope of the red line m₂ = ( -2/3 )
To learn more about equation of line click :
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The complete question is attached below :
The lines below are perpendicular. If the slope of the green line is 3/2 what is the slope of the red line?
The average mark of candidate in an aptitude test was 128.5 with a standard deviation of 8.2. Three scores extracted from the test are 148, 102,152. What is the average of the extracted scores t hat are extreme values (outliers)?
Answer:
Step-by-step explanation:
Given that : The average marks of candidates in an aptitude test was 128.5 with a standard deviation of 8.2. Three scores extracted from the test are; 148, 102 and 152.
The objective here is to determine the average of the extracted scores that are the extreme values (outliers)
NOW:
The average marks of candidates in an aptitude test was 128.5
i.e the Mean = 128.5
Standard Deviation = 8.2
outlier will be outsides;
then the range will be Mean ± 3 × SD
= 128.5 ± 8.2 × 3
= 128.5 ± 24.6
Range is ( 103.9 , 153.1)
102 is outside this range
Hence, the average of the extracted scores that are extreme values (outliers) will be 102 only
Can someone PLEASE help me!! I'm doing a test and I'm really stuck of this question! Each of the small squares in the figure below measures 2 meters on each side.
What is the area of the triangle?
Answer:
40 meters²
Step-by-step explanation:
Formula for the area of a triangle is [tex]\frac{1}{2} *b*h[/tex]
[tex]\frac{1}{2} *10*8=\\5*8=\\40[/tex]
The area of the triangle is 40 m²
4. Would a 51-foot ladder be long enough to climb a 50-foot wall? Sketch a graph and find your answer using trigonometric functions
Answer:
Yes, it is enough to climb.
Step-by-step explanation:
Let suppose that wall is vertical and perpendicular to surface, a right-angled triangle is formed after using the ladder against the wall. (See attachment)
Ladder is useful only if its length is greater than wall length and trigonometrically speaking, the ratio of wall length to ladder length must be less than 1, associated with the definition of sine. That is:
[tex]\sin \theta = \frac{50\,ft}{51\,ft}[/tex]
[tex]\sin \theta = 0.980[/tex]
In a nutshell, the 51-foot ladder is useful to clime a 50-foot wall.
Correct answers only please!
To the nearest cent, how much will she have in 3 years?
Use the formula B = p(1 + r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$125.97
Step-by-step explanation:
They have given you everything you need.
p = 100
r = 0.08
t = 3
B = final amount
B = 100(1 + 0.08)^3
B = 125.9712
since you're dealing with money you have to round to the nearest cent
B = $125.97
Please brainlist if I helped
I need helppp!!! Please
Answer:
18 ft^2
Step-by-step explanation:
1^2=1
1*6=6
6*3=18
Answer: 18 square feet.
Step-by-step explanation:
You can find the surface area of the ice cubes by taking the area of each square side and multiplying it by 6.
1 * 1 = 1, so each side is 1 square foot.
There are six sides on a cube, so each ice cube has a surface area of six feet squared.
There are three ice cubes there, so 3 * 6 = 18 square feet.
Three ice cubes have a surface area of 18 feet squared.
in your sock drawer, you have 12 blue socks and 12 yellow socks. It is dark in the morning when you were getting dressed, and you can’t see the color of the socks. How many socks must you pick to absolutely guarantee that you have a pair of blue socks to wear?
A.) 14
B.) 24
C.) 4
D.) 3
E.) 2
Answer:
A. 14
Step-by-step explanation:
The smallest number of socks to pull out to be assured that we get a blue pair of socks is 14. (Option A)
What is pigeonhole principle?If there are n objects to be putted into m containers such that n > m, then at least one container will have two objects.
Suppose the worst is happening when you're pulling the socks out.
The total number of colors is 2.
Now the worst case is when the pair is not completed until we draw all the yellow color.
That will happen at 12 + 1 = 13 draws (pair needs 2 blue, and the worst will happen that in initial trials, the yellow socks are not letting the pair get completed, which means at max 1 blue sock and rest 12 socks are drawn, which will get at max 13 draws).
But now any more sock pulled will have to be falling into the blue color category we already have. (this is exactly the pigeonhole principle's use).
After 13 times, you will start getting blue socks.
Since you need a pair of blue socks, you need to pull out socks 1 more time.
So total 14 pulls were required if the conditions were like resisting us at maximum.
In most of the cases, we might not need those 14 pulls, but 14 pulls is the minimum number that will assure you that the socks pulled have a blue pair of socks.
If the conditions are not worst, we would be lucky and that
Thus, the smallest number of socks to pull out to be assured that we get a blue pair of socks is 14. (Option A is correct).
Learn more about pigeonhole principle and socks pulling here:
https://brainly.com/question/8505936
9) v - 15 = -27 10) n + 16 = 9
Answer:
9) v= -12
10) n= -7
Step-by-step explanation:
9) v - 15 = -27
Add 15 from both sides
i.e. v - 15 + 15 = -27 + 15
v = -12
10) n + 16 = 9
Subtract 16 from both sides
i.e. n + 16 - 16 = 9 - 16
n = -7
Hope this helps!!!
Which of the following best describes the use of the formula S = (n-2)180°,
where n is the number of sides?
Answer:
C. It is used to find the sum of interior angles
Also , it can be used to find the number of triangles in the polygon,
Step-by-step explanation:
Example :
Find the sum of interior angles whose no of sides is 6 and give the name of the polygon
Solution
S = (n-2)180°
S = (6-2)180°
S = (4)180°
S = 720°
The polygon is a Hexagon
I hope it helps :)
S = (n – 2)180° is used to calculate the sum of interior angles of the polygon. Then the correct option is A.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
The sum of the interior angle of the polygon is given as,
S = (n – 1)180°
Where, n be the number of the sides.
Then the correct option is A.
More about the polygon link is given below.
https://brainly.com/question/17756657
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The circle passes through the point (3,6). What is it’s radius?
Answer:
c. 5
Step-by-step explanation:
In the attached image we can calculate the radius in a very simple way, if we focus on the axis of the "y" we have that there is a distance that would be the diameter of the circle and goes from -2 to 8.
Between -2 and 8, there is a quantity of 10 units, since:
8 + 2 = 10
they are added because we want to know the total distance, therefore the diameter is 10, and we know that the radius is half the diameter, so:
r = d / 2
r = 10/2
r = 5
therefore the radius is 5 units, that is, the answer is c. 5
what is the slope of the line ?
please help me fast
reciprocal of -2/3^6
Answer:
PLEASE GIVE BRAINLIEST AND THANKS
-0.00068587105
Step-by-step explanation:
is x greater than less than or equal to 60
The equation –3y = 15 – 4x rewritten in slope-intercept form is
Answer:
4/3x -5
Step-by-step explanation:
Please help me now plz I promise I will mark you brainliest
Answer:
It should be 72 degrees
Step-by-step explanation:
angle j and h are the same so you just add 63 to 45 and once you get 108, just subtract that from 180 degrees which is the full measure of the triangle.
which is easier to use - the outer semi-circle or the inner semi-circle?
Answer: the inner semi circle
Step-by-step explanation:
It Depends, but I think the outer semi circle is easier to use.
A cylinder has a diameter of
5.8 cm and is 8.4 cm high. Calculate the
volume of the cylinder.
Answer:
887.74
Step-by-step explanation:
As an estimation we are told £3 is €4.
Convert £10.70 to euros.
Give your answer rounded to 2 DP.
Answer:
From the estimation,
£10.7 = €14.27
Step-by-step explanation:
Given the conversion rate between the pounds and the euro currencies, we are to convert an amount in pounds to euros
From the estimate;
3 pounds = 4 euros
Thus;
10.7 pounds = x euros
We are using x since the value in euros is not known presently.
To move from here, we simply cross multiply.
That would give;
3 * x = 4 * 10.7
3x = 42.8
x = 42.8/3
x = 14.2666
x = €14.27
4(x + 2) = 4x + 2
Are these two Equivalent
Answer:
no they're not
Step-by-step explanation:
4(x+2) = 4x +8
4x+2= 4x+2
Answer:
No they are not equivalent
First we would have to solve 4(x+2)
In order to solve this we need to multiply. So 4×X is equal to 4x. 4×2=8 Therefore when solving Its 4x+8..and 4x+8 is not equivalent to 4x+2
I need a fast answer plz!!!
find the slope of the line
Answer:
idk
Step-by-step explanation:
Answer:
-4/5
Step-by-step explanation:
over 4 to the left up 5
answer these 12 questions
SOLVE these
(1. 7x - 14 = 2x + 11) (5. 5x + 3 = x + 11) (9. 16x - 35 = 7x - 8)
(2. 6x + 5 = 3x + 14) (6. 7x + 2 = 5x + 14) (10. 6x - 5 = 13 - 3x)
(3. 12x + 5 = 4x + 37) (7. 13x - 15 - 12x + 16) (11. 4x - 9 = 6 - x)
(4. 3x + 8 = 2x +21) (8. 9x - 19 = 2x - 5) (12. 5x - 2 = 10 - x)
Answer:
Step-by-step explanation:
1) 7x - 14 = 2x + 11 {Add 14 to both sides}
7x - 14 +14 = 2x + 11 +14
7x = 2x + 25
7x - 2x = 2x + 25 - 2x
5x = 25 {Divide both sides by 5}
5x/5 = 25/5
x = 5
2) 6x + 5 = 3x + 14
6x = 3x + 14 - 5
6x = 3x + 9
6x - 3x = 9
3x = 9
x = 9/3
x = 3
3) 12x + 5 = 4x +37
12x = 4x + 37 - 5
12x = 4x + 32
12x - 4x = 32
8x = 32
x = 32/8
x = 4
4) 3x + 8 = 2x + 21
3x = 2x + 21 - 8
3x = 2x + 13
3x - 2x = 13
x = 13
5) 5x + 3 = x + 11
5x = x + 11 -3
5x = x + 8
5x - x = 8
4x = 8
x= 8/4
x = 2
Answer: Step-by-step explanation:
1) 7x - 14 = 2x + 11 {Add 14 to both sides}
7x - 14 +14 = 2x + 11 +14
7x = 2x + 25
7x - 2x = 2x + 25 - 2x
5x = 25 {Divide both sides by 5}
5x/5 = 25/5
x = 5
2) 6x + 5 = 3x + 14
6x = 3x + 14 - 5
6x = 3x + 9
6x - 3x = 9
3x = 9
x = 9/3
x = 3
3) 12x + 5 = 4x +37
12x = 4x + 37 - 5
12x = 4x + 32
12x - 4x = 32
8x = 32
x = 32/8
x = 4
4) 3x + 8 = 2x + 21
3x = 2x + 21 - 8
3x = 2x + 13
3x - 2x = 13
x = 13
5) 5x + 3 = x + 11
5x = x + 11 -3
5x = x + 8
5x - x = 8
4x = 8
x= 8/4
x = 2
Step-by-step explanation:
Help! (Solving quadratic equations by factoring)
m(m-3)=0
Answer:
m=0 and m=3
Step-by-step explanation:
there are two solutions