Answer:
Option C is correct.
The standard deviation of B is greater.
Step-by-step explanation:
Distribution A is given
A = {91, 94, 89, 93, 87, 92, 86, 87, 92, 91}
Then distribution B is all of distribution A including the percentage for the package where the least kernels popped
B = {74, 91, 94, 89, 93, 87, 92, 86, 87, 92, 91}
Taking the statements one at a time
- The mean of A is the same as the mean of B.
Mean = (sum of variables)/(sample size)
It is evident that most of the percentages in distribution A hover around a consistent spot, hence, the mean too will land around that consistent spot. The mean of distribution A as calculated = (902/10) = 90.2
Mean of distribution B should hover around that spot too, but a new addition of 74 is expected to bring the mean down.
Mean of distribution B = (976/11) = 88 73
Hence, statement 1 is incorrect as the mean of A isn't the same as the mean of B.
- Including the percentage for the package where the least kernels popped causes the center of the data to increase.
The center of the data is synonymous with the mean and it is evident that this centre doesn't increase after including the percentage for the package where the least kernels popped causes the center of the data to increase, rather, it drops from 90.2 to 88.73.
Hence, this statement is false.
- The standard deviation of B is greater
Standard deviation measures how far away from the mean the variables of the distribution are. And since we've established that the variables of distribution A hover around a spot, hence, the stamdard deviation is expected to be small. But distribution B has all of the variables of distribution A plus a value that is very far away from the Mean (74), hence, it is easy to see that distribution B will have the greater standard deviation. Let us now calculate.
Standard deviation = σ = √[Σ(x - xbar)²/N]
x = each variable
xbar = mean
N = Sample size
Standard deviation for distribution A = 2.638
Standard deviation for distribution B = 5.293
Hence we can conclude that this statement is true and the standard deviation of distibution B is greater.
Hope this Helps!!!
Which graph shows the line y- 1 = 2(x + 2)?
Answer:
Graph C
Step-by-step explanation:
The slope is 2 and to find the numbers in the equation are actually the opposite of what they appear, making the point (-2,1).
how many times do you need to add 5 to 17 to reach the product of 6 and 7
Answer:
5
Step-by-step explanation:
The product of 6 and 7 is 42.
Let x be the number of times needed to add 5 to 17 to reach 42.
17 + 5x = 42
5x = 42 - 17
5x = 25
x = 5
Answer: I’m pretty sure it’s 5
Step-by-step explanation:
A student walk 60m on a bearing of 028 degree and then 180m due east. How is she from her starting point, correct to the nearest whole number?
Answer: she is 215m from her starting point
Step-by-step explanation:
The diagram representing the situation is shown in the attached photo. Triangle ABC is formed with AC representing her distance from her starting point.
Angle B = 28 + 90 = 118°
To determine AC, we would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and B is the angle corresponding to b(AC). Likening the expression to the given triangle, it becomes
AC² = AB² + BC² - 2(AB × BC)CosAC
AC² = 60² + 180² - 2(60 × 180)Cos118
AC² = 3600 + 32400 - 21600Cos118
AC² = 36000 - 21600(-0.46947156)
AC² = 36000 + 10140.59
AC² = 46140.59
AC = √46140.59
AC = 215 m
Which equations are true? Choose all answers that apply: Choose all answers that apply: (Choice A) A -x +0+(- x) = 0−x+0+(−x)=0minus, x, plus, 0, plus, left parenthesis, minus, x, right parenthesis, equals, 0 (Choice B) B -x-(-x) =0−x−(−x)=0minus, x, minus, left parenthesis, minus, x, right parenthesis, equals, 0 (Choice C) C None of the above
Answer:
(B)-x-(-x) =0
Step-by-step explanation:
Option A
Our equation is: -x +0+(- x) = 0
Left Hand Side:
-x +0+(- x) = -x-x=-2x
[tex]($Left Hand Side) $-2x\neq 0$ (Right Hand Side)[/tex]
Option B
Our equation is: -x-(-x) =0
Left Hand Side:
-x-(-x) =-x+x=0
[tex]($Left Hand Side) 0 = 0 (Right Hand Side)[/tex]
Therefore, the equation in Option B is true.
Ian drinks 3 \text { pints}3 pints3, start text, space, p, i, n, t, s, end text of water during a long hike. He drinks 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction more \text {cups}cupsstart text, c, u, p, s, end text of water when he gets home.
Answer:
[tex]Total = 7\frac{1}{2} cups[/tex]
Step-by-step explanation:
Given
Initially, he drank 3 pints of water
Then, [tex]1\frac{1}{2}[/tex] more cups
Required
How many cups did Ian drink altogether
This question can be solved by adding the size of water he drank during the hike and when he got home
i.e.
[tex]Total = 3\ pints + 1\frac{1}{2} cups[/tex]
But the answer should be in cups;
So, number of pints has to be converted to number cups
Given that 1 pint = 2 cups;
3 pints will be 3 * 2 cups
3 pints = 6 cups;
So,
[tex]Total = 3\ pints + 1\frac{1}{2} cups[/tex]
[tex]Total = 6\ cups + 1\frac{1}{2} cups[/tex]
[tex]Total = 7\frac{1}{2} cups[/tex]
Altogether, he drank [tex]7\frac{1}{2} cups[/tex] of water
Please help with answers A and B :)
find the smallest square number that is divisible by each of the number 8,12,18 and 30
Answer:
3600.
Step-by-step explanation:
8 = 2*2*2
12= 2*3
18= 2*3*3
30 = 2*3*5
The lowest common multiple of the these is
2 * 2 * 2 * 3*3* 5 = 360.
So the smallest square number = 2*2*2*2*3*3*5*5
(We make all the sets of factors a square).
So it's 16 * 9 * 25 = 3600.
Answer:
3600
Step-by-step explanation:
Gretta created some figures that she calls reebs What attribute do these reebs have in common?
Answer:
Reebs have 1 right angle
Step-by-step explanation:
Look at all the reebs. They all have 1 right angle!
Answer:
C
Step-by-step explanation:
What is the range of this function?
Write this number using standard notation,
1.5 x 10 to the 6th power
Type the correct answer, then press Enter.
Hey there! :)
Answer:
1,500,000.
Step-by-step explanation:
Convert to standard notation by first deriving the value of 10 to the exponent given:
[tex]10^{6} = 1,000,000[/tex] (6 zeros)
Multiply:
1.5 × 1,000,000 = 1,500,000
Can somebody help me with this ? :)
Answer:
B.
Step-by-step explanation:
A = C = 40°
40+40+ 4x = 180
4x = 100
x = 25°
The given line passes through the points (-4, -3) and (4.
1)
What is the equation, in point-slope form of the line that is
perpendicular to the given line and passes through the
point (-4, 3)?
V-3 -2(x+4)
3-
2-
+
Oy-3 =-{(x+4)
Ov-3 = {(x + 4)
-2
y-3 =2(x + 4)
-3
(-3)
9514 1404 393
Answer:
y -3 = -2(x +4)
Step-by-step explanation:
The slope of the given line is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2
The perpendicular line will have slope -1/(1/2) = -2.
__
The point-slope equation of the line with slope m through point (h, k) is ...
y -k = m(x -h)
For point (-4, 3) and slope -2, the equation is ...
y -3 = -2(x +4)
Can I have some help please? Thanks!
Answer:
(22/7)/6=0.523809
Step-by-step explanation:
V=4/3πr^3
V=4/3π(1/2)^3=π/6
or (22/7)/6=0.523809
7th grade math I needs some help
Answer:
Step-by-step explanation:
To find 5e. El change, find the difference between week 1 and 1.
56.92-(-16.54) = 56.92+16.54 = -73.46.
Note: this is negative, because we are calculating the difference.
Hope this helps
Four lines extend from point K. The space between lines K J and K N is 58 degrees. The space between lines K N and K M is 61 degrees. The space between lines K M and K L is 61 degrees. Which statement must be true about the diagram? Point K is a midpoint of Line segment J L. mAngleJKN = One-halfmAngleJKM Ray KM is an angle bisector of AngleNKL. JK = One-halfKL
Answer:
Ray KM is an angle bisector of [tex]\angle NKL[/tex].
Step-by-step explanation:
Given that there are 4 lines that are extended from a point K.
Angle between KJ and KN is [tex]58^\circ[/tex] i.e. [tex]\angle JKN =[/tex] [tex]58^\circ[/tex]
Angle between KN and KM is [tex]61^\circ[/tex] i.e. [tex]\angle NKM =[/tex] [tex]61^\circ[/tex].
Angle between KM and KL is [tex]61^\circ[/tex] i.e. [tex]\angle MKL =[/tex] [tex]61^\circ[/tex]
Please refer to the attached image for the conditions and dimensions of angles given in the question statement.
Now, let us have a look at the options given:
1. Point K is a midpoint of Line segment JL
JL is not a straight line first of all, and secondly there is no condition given about the line segments.
So, it is incorrect.
2. [tex]m \angle JKN = \dfrac{1}{2}m \angle JKM[/tex]
[tex]\angle JKN =[/tex] [tex]58^\circ[/tex] and
[tex]m \angle JKM =58+61=139^\circ\\\Rightarrow \dfrac{1}{2} m \angle JKM = 64.5^\circ[/tex]
So, it is also incorrect.
3. Ray KM is an angle bisector of [tex]\angle NKL[/tex].
Ray KM divides the [tex]\angle NKL[/tex] into two equal angles [tex]\angle NKM =[/tex] [tex]61^\circ[/tex] and [tex]\angle MKL =[/tex] [tex]61^\circ[/tex] so it is correct.
An 8-sided fair die is rolled twice and the product of the two numbers obtained when the die is rolled two times is calculated. (a) Draw the possibility diagram of the product of the two numbers appearing on the die in each throw (b) Use the possibility diagram to calculate the probability that the product of the two numbers is (i) A prime number (ii) Not a perfect square (iii) A multiple of 5 (iv) Less than or equal to 21 (v) Divisible by 4 or 6
Answer:
this question is roung
Which equation is equivalent to startroot x^2 + 81 EndRoot = x + 10?
Answer:given below
Step-by-step explanation:
sqrt x^2 +81= x + 10
x^2 + 81 = (x+10)^2
x^2 + 81 = x^2 + 20x + 100
so answer is:
x^2 + 81 = x^2 +20x + 100
..HOPE IT HELPS YOU...ALL THE BEST
Answer:
The answer is D on egdge2020
cereal is on sale for $3.60 for a 9-ounce box. what is the price per ounce?
Answer:
$0.40 per oz
Step-by-step explanation:
given that the cereal is $3.60 for a 9 oz box
i.e
9 oz ----> costs $3.60
1 oz ----> costs $3.60 ÷ 9 = $0.40
hence the unit rate is $0.40 per oz
Answer:
0.40 per ounce
Step-by-step explanation:
The question asks is to find the unit rate, or price per ounce.
To find this, we need to divide the price by the number of ounces.
price/ ounces
It costs $3.60 for 9 ounces of cereal.
$3.60/9 ounces
Divide $3.60 by 9 (3.60/9=0.4)
$0.4/ounce
It costs $0.40 per ounce of cereal.
Please help help❤️help me it would mean a lot
Answer:
B. points C, F and G
Step-by-step explanation:
B. Points G C F
If 96 out of 200 pet owners own cats, what fraction and what percentage of
pet owners do not own cats?
Check all that apply.
A. 52%
104
IL B.
200
C. 48%
D. 0.52%
E 96 help ASAP plz
200
Answer:
A. 52% and B. 104/200
Step-by-step explanation:
To find the answer, we first have to find how many pet owners own cats. As percentages are x/100, when we have x/200 we divide the numerator and denominator by 2 to bring the fraction to 48/100. (96/200 divided by 2 equals 48/100). Now that we have the percentage of pet owners that own cats (48%), we need to find how many do not own cats. To do so, we just subtract 100-48 to get 52. Then, we do the same to the fraction of 96/200. (200-96 = 104). This brings our answers to A. 52% and B. 104/200
The percentage of owners that do not own cat is 52%
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word per cent means per 100. It is represented by the symbol “%”.
Given here, 96 out of 200 pet owners own cats then the owners who do not own cat are 104
Therefore the number of non cat owners in percentage terms is
= (104/200) ×100
= 52.5%
Hence, the answer is 52.5%
Learn more about percentages here:
https://brainly.com/question/14979505
#SPJ2
What is the value of x?
Answer:
x = 55 degrees
Step-by-step explanation:
Angles of a triangle add up to 180 degree so we'll simply subtract the rest of the angles from 180 to get the value of x.
=> x = 180-75-50
=> x = 55 degrees
Answer:
55
Step-by-step explanation:
The sum of angles triangles will always be 180
75 + 50 is 135
180-35 = 55
can someone help asap
Answer:
5.125 = [tex]5\frac{125}{1000}[/tex] = [tex]5\frac{1}{8}[/tex]
Step-by-step explanation:
=> 5.125
Changing this into fraction form:
=> [tex]5\frac{125}{1000}[/tex]
In simplified form:
=> [tex]5\frac{1}{8}[/tex]
Which numbers are the means of the proportion shown below
A. 2 and 30
B 2 and 20
0.3 and 30
D. 3 and 20
Answer:
2 and 30
Step-by-step explanation:
2/3=20/30
2 and 30 means the extremes and 3 and 20 are the means
Jason walked for 0.75 hours at the rate of 3.4 miles per hour. He determines that he walked 0.255 miles. Which best refutes Jason’s solution?
Answer:
Jason likely misplaced the decimal, because 3 times 1 = 3, and if the decimal was between the 2 and the 5, the number would be near 3.
Step-by-step explanation:
Jason applied 2 and 82.242 miles
Answer:
b
Step-by-step explanation:
can someone help please
Answer:
11/8 or, 1 and 3/8
Step-by-step explanation:
First, we have to make both the denominators the same. In this case, we can multiply 3/4 by 2, to make 4, the denominator, into 8. What we do to the denominator, we must do to the numerator! So, we multiply 3 by 2, and get 6!
Now we have, 5/8 + 6/8, which equals 11/8! Which can also be simplified to 1 and 3/8 (because the numerator is larger than the denominator)
Hope this helps! :)
What else would need to be congruent to show that ABC= A DEF by SAS?
B
E
Given:
AC DF
ZCZE
А
O A. BC = EF
O B. ZCEF
O C. ZAŁ ZD
O D. AC = DF
Answer:
A.
Step-by-step explanation:
BC ≅ EF
BC needs to be congruent to EF to show that ΔABC ≅ ΔDEF by SAS(Side -Angle-Side) Postulate.
1. Evaluate (101.5)? - (100.5)
Estimate 6 8 9 ( 1 9 10 ) by rounding to the nearest whole number. The estimate is the actual product because
Answer:
[tex]6\frac{8}{9} (1\frac{9}{10}) = 13[/tex]
Step-by-step explanation:
Given
[tex]6\frac{8}{9} (1\frac{9}{10})[/tex]
Required
Estimate
To do this; we start by converting both fractions to improper fraction
[tex]6\frac{8}{9} (1\frac{9}{10})[/tex]
[tex]\frac{62}{9} (1\frac{9}{10})[/tex]
[tex]\frac{62}{9} (\frac{19}{10})[/tex]
Open Bracket
[tex]\frac{62}{9} * \frac{19}{10}[/tex]
Combine to form a single fraction
[tex]\frac{62 * 19}{9 * 10}[/tex]
Multiply numerators and denominators
[tex]\frac{1178}{90}[/tex]
Convert fraction to decimal
[tex]13.0888888889[/tex]
Approximate to nearest whole number
[tex]13[/tex]
Hence, [tex]6\frac{8}{9} (1\frac{9}{10}) = 13[/tex]
Answer:
First box: 14
Second box: greater than
Third box: both factors were rounded up.
Step-by-step explanation:
I JUST DID IT AND GOT IT RIGHT!
HOPE IT HELPS!
4x= 2y + 38; 2 - 3y=x
Simultaneous equation please help
Answer:
x = 59/7, y = -15/7
Step-by-step explanation:
4x= 2y + 38;
2 - 3y=x
We can substitute for x in the first equation since the second equation is solved for x
4(2-3y) = 2y+38
Distribute
8 - 12y = 2y+38
Add 12y to each side
8-12y+12y = 2y+12y+38
8 = 14y+38
Subtract 38 from each side
-30 = 14y
Divide by 14
-30/14 = y
-15/7 = y
Now solve for x
2 - 3y = x
2 - 3*-15/7 = x
2 +45/7 = x
14/7 + 45/7 = x
59/7 =x
Which of the following choices is the x intercept of the equation 2y-x=-6
Answer:
[tex]x = 6[/tex]
Step-by-step explanation:
Given
[tex]2y-x=-6[/tex]
Required
Determine the x intercept
To get the value of x intercept; we simply substitute 0 for y;
i.e. y = 0
[tex]2y-x=-6[/tex] becomes
[tex]2(0)-x=-6[/tex]
[tex]0-x=-6[/tex]
[tex]-x=-6[/tex]
Multiply both sides by -1
[tex]-1 * -x=-6 * -1[/tex]
[tex]x=-6 * -1[/tex]
[tex]x = 6[/tex]
Hence, the x intercept is 6