Answer:
The standard deviation of the weight, σ, is approximately 4.73 kg
Step-by-step explanation:
The weights of the six puppies are;
[tex]x_i[/tex] = 1, 2, 7, 7, 10, and 15
The number of puppies, n = 6
Therefore, we have;
The mean = μ = ∑x/n = (1 + 2 + 7 + 7 + 10 + 15)/6 = 7
The standard deviation, σ, is given as follows;
[tex]\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{n}}[/tex]
By substituting, we have;
[tex]\sigma =\sqrt{\dfrac{ \left (1-7 \right )^{2} + \left (2-7 \right )^{2} + \left (7-7 \right )^{2} + \left (7-7 \right )^{2} + \left (10-7 \right )^{2} + \left (15-7 \right )^{2} }{6}}[/tex]
Simplifying gives;
[tex]\sigma =\sqrt{\dfrac{ \left (-6 \right )^{2} + \left (-5 \right )^{2} + \left (0 \right )^{2} + \left (0 \right )^{2} + \left (3 \right )^{2} + \left (8 \right )^{2} }{6}} =\sqrt{\dfrac{ 36 + 25 + 0 +0+ 9 + 64 }{6}}[/tex]
[tex]\sigma =\sqrt{\dfrac{ 134 }{6}} = \sqrt{\dfrac{67}{3} } \approx 4.72582[/tex]
The standard deviation of the weight, σ ≈ 4.73 kg to two decimal places.
Answer:
It’s actually 5.18 kg on khan
Step-by-step explanation:
NEED ANSWERS ASAP!!
Find the measures of the missing angles.
Please find all of them!
Answer:
for 13.) angles 4, 5 and 8 equal 135 and 3, 6 and 7 equal 45
for 14.) 1 equals 120 and 2 equals 60
Question1Circle A has a diameter of 9 cm. Circle B has a radius of 5 cm. Circle has the larger circumference by centimeters. Use LaTeX: \pi=3.14,Question2 A circle's circumference is approximately 44 cm. Complete each statement using one of these values: 7, 11, 14, 22, 88,138, 154, 196, 380, 616.
a. The circle's diameter is approximately cm.
b. The circle's radius is approximately cm.
c. The circle's area is approximately cm2.
Answer:
1.) CIRCLE B
2.) 14 cm ; 7cm ; 154cm²
Step-by-step explanation:
Given that:
CIRCLE A:
Diameter (d) = 9cm
CIRCLE B:
Radius (r) = 5cm
Circumference of circle A:
Radius (r) = diameter / 2
C = 2 * pi * r = 2 * 3.14 * (9/2) = 28.26 cm
Circumference of Circle B:
C = 2 * pi * r = 2 * 3.14 * 5 = 31.4 cm
CIRCLE B has the larger Circumference.
2.) circle with Circumference (C) = 44cm
Diameter of circle ;
C = 2 * pi * (d/2)
44 = 2 * 3.14 * (d/2)
44 = 6.28d / 2
88 = 6.28d
d = 14.01 = 14.0 cm ( 1 decimal place)
B.) Circle's Radius
Radius = diameter / 2
Radius = 14.0 / 2 = 7 cm
C.) Area (A) of the circle :
A = pi * r^2
A = 3.14 * 7^2
A = 3.14 * 49
A = 153.86
A = 154 cm²
what is a linear equation that contains these points?
Answer:
C
Step-by-step explanation:
If you plug in the numbers into that equation you get
1 = -2(2) + 5
1 = -4 + 5
1 = 1
You can also do this again with x = 5 y = -5
-5 = -2(5) + 5
-5 = -10 + 5
-5 = -5
What is the least common multiple of the two denominators?
6/8 and 4/32
-8
-32
-12
-18
Answer:
32
Step-by-step explanation:
32 × 1 = 32
8 × 4 = 32
Therefore, the LCM is 32
John is selling sets of Legos and makes a 10% commission on all sales. what would his
commission be on the sale of a $3750 set of Legos?
Commission would be $
Answer: The commision would be $ 375
Step-by-step explanation:
find the unknown marked angles
6 + 3(x + 4)
PLEASE HELP!!!! I will give brainliest
3x+18
Step-by-step explanation:
Answer:
3x+18
Step-by-step explanation:
Is the answer
answer
Pwease help its just easy math
Answer:
its divided into sixths
What is the new position of the drone relative to the top of the building?
Answer:
The new position of the drone relative to the top of the building would be:
[tex]-12\frac{5}{8}[/tex]Hence, option (B) is correct.
Step-by-step explanation:
Given that a drone flies up [tex]75\frac{3}{4}[/tex] ft above the top floor of a building.
As it flies away from the building and goes down [tex]117\frac{7}{8}[/tex].
Thus, the new position becomes
[tex]75\frac{3}{4}-117\frac{7}{8}[/tex]
[tex]=\frac{303}{4}-117\frac{7}{8}[/tex]
[tex]=\frac{303}{4}-\frac{943}{8}[/tex]
The LCM of 4,8: 8
Adjusting fractions based on LCM
[tex]=\frac{606}{8}-\frac{943}{8}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{606-943}{8}[/tex]
[tex]=-\frac{337}{8}[/tex]
Converting improper fractions to mixed numbers
[tex]=-42\frac{1}{8}[/tex]
THEN IT RISES ANOTHER [tex]29\frac{1}{2}\:\:[/tex] and HOVERS onwards:
As the drone rises again another [tex]29\frac{1}{2}\:\:[/tex] ft, the final position can be calculated by adding [tex]29\frac{1}{2}\:\:[/tex] ft in [tex]-42\frac{1}{8}[/tex] ft.
i.e
[tex]-42\frac{1}{8}+29\frac{1}{2}[/tex]
[tex]=-\frac{337}{8}+29\frac{1}{2}[/tex]
[tex]=-\frac{337}{8}+\frac{59}{2}[/tex]
The LCM of 8, 2: 8
Adjusting fractions based on LCM
[tex]=-\frac{337}{8}+\frac{236}{8}[/tex]
[tex]\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}[/tex]
[tex]=\frac{-337+236}{8}[/tex]
[tex]=-\frac{101}{8}[/tex]
Converting improper fractions to mixed numbers
[tex]=-12\frac{5}{8}[/tex]
Therefore, the new position of the drone relative to the top of the building would be:
[tex]-12\frac{5}{8}[/tex]Hence, option (B) is correct.
please help me, i genuinely don't understand
Answer:
lol
Step-by-step explanation:
need points
Answer:
not even funny
Step-by-step explanation:
u should get banned this website is for education
Helppppppppppppppppp
Answer:
if it's asking for the like point it would be (3,3)
Step-by-step explanation:
i apologize if that's not what it is asking for
Solve the system of equations 6x + 3y = 9 and -5x – 5y = 0 by combining the
equations.
Answer:
(X, y) =(3,-3)
Step-by-step explanation:
Use second equation
Apply to the first
graph the following equation using the slope intercept method
3x+5y=-15
Answer:
Step-by-step explanation:
What is the surface area of the cylinder with height 4m and radius 2m? Round your answer to the nearest thousandth.
Answer:
50.265m^3
Step-by-step explanation:
because the formula for solving this problem is πr^2•height and then to finish solving it would have to be put into cubed as it's 3d
Can anyone help me ill give brainliest
Answer:
Answer the first choice.
Step-by-step explanation:
Given
Points (-2,6) and (0,2)
y2 = 6
y1 = 2
x2 = - 2
x1 =0
m = (y2 - y1)/(x2 -x1)
Solution
m = (6 - 2)/(-2 - 0)
m = 4 / - 2 <<<< ===== Answer..
m = - 2
Remark
If you know what the formula to use is, it always helps to write down your givens. The solution is much easier.
PLEASE HELP 100 POINTS
write an equation of the horizontal line that passes through (-7,-10)
Answer:
y + 10 = 0
Step-by-step explanation:
Slope of horizontal line is zero (0)
m = 0
By point slope form of a line.
[tex]y-y_1 =m(x - x_1) \\ \\ y - ( - 10) = 0 \{x - ( - 7) \} \\ \\ y + 10 = 0 \{x + 7\} \\ \\y + 10 = 0 \\ \\ [/tex]
Answer:
y = -10
Step-by-step explanation:
B
20
A
19
С
What is the length of BC?
Answer:
6.245
Step-by-step explanation:
........... .....
The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal cost $78.90 before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the discount, what is the cost of the meal?
Answer:
The 15% discount means that they only pay 100%-15% = 85% of the meal's bill.
This would cost 85% * 78.65.
However, they also have to pay a 20% tip of the meal cost.
This would cost 20% * 78.65.
Step-by-step explanation:
total Cost = (85% * 78.65) + (20% * 78.65)
= 105% * 78.65
= 1.05 * 78.65
= $82.58
As an estimation we are told £3 is €4. Convert €40 to pounds
Answer:
£30
Step-by-step explanation:
The ratio is 3:4. x:40=3:4 multiplied by 10, 30:40.
There are 30 pounds in 40 euros, therefore, €40 = £30.
What is a Ratio?A ratio indicates the number of times one number contains another.
Given that, £3 is €4, therefore,
€4 = £3
€1 = £(3/4)
€40 = £(3/4)×40
€40 = £30
Hence, 40 euros is equal to 30 pounds, €40 = £30.
To learn more about ratios, click here:
https://brainly.com/question/13419413
#SPJ2
what is a better deal
$23 for 10 lb or $32.05 for 15 lb
Which calculation and answer show how to convert 5/16 to a decimal
Answer:
0.3125
Step-by-step explanation:
There are two different methods:
make an equivalent fraction with the denominator as a power of
10
. This can be
10
,
100
,
1
,
000
,
10
,
000
,
100
,
000
and so on...
5
16
×
625
625
=
3125
10000
Once the denominator is a power of
10
, the number of zeroes indicates how many decimal places there will be.
3125
10000
=
0.3125
←
4
decimal places
This method only works if the denominator is a factor of one of the powers of
10
divide the numerator by the denominator
5
16
=
5
÷
16
=
0.3125
-g00gle I copied and pasted so might look weird
i need some help I really don't know how to start
Answer:
14
Step-by-step explanation:
these are similar triangles.
4*y = 7 (one side times cooficient is the side in the other triangle), cooficient (y) = 7/4
8 * 7/4 = solution
= 14
Please answer ASAP!!!
Please help me with 7
Answer:
Third choice, 7/25
Step-by-step explanation:
14 + 11 + 10 + 15 = 25 + 25 = 50, they also already stated this in the question so u don't have to calculate this
14 out of 50 students voted for nicholas, so it's a 14/50 chance, simplified would be 7/25
Find the slope of the line.
If DF=61 and EF=18, find DE.
Do Recommendations Seventh grade > S Solve for d. 3 + 2d = 5
Max has a drawer full of green and red socks. He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks. Half the number of green socks plus one-third of the number of red socks is 36. How many of each colour does he have?
Answer:
There are 42 red colour socks and 44 green color socks
Step-by-step explanation:
Let there are r red socks and g green socks.
ATQ,
He has three times times as many red socks subtracted from four times as many green socks which he believes is 50 socks.
4g-3r=50 ....(1)
Half the number of green socks plus one-third of the number of red socks is 36.
[tex]\dfrac{g}{2}+\dfrac{r}{3}=36\\\\3g+2r=216\ .....(2)[/tex]
Multiply equation (1) by 2 and equation (2) by 3.
8g-6r = 100 ....(3)
9g +6r = 648 ....(4)
Add equation (3) and (4)
8g-6r + 9g +6r = 100+648
17g = 748
g = 44
Put the value of g in equation (1).
4(44)-3r=50
176-3r = 50
176-50 = 3r
r = 42
Hence, there are 42 red colour socks and 44 green color socks.
Can someone pls help me w this paper. PLEASEEEEE
Answer:
22 for num 5
Step-by-step explanation:
The historical records state that the long-lost temple of the sun had a perimeter of about 220 meters and an area of about 2,100 square meters. Do you think the archaeologists actually discovered the lost temple?
Answer:
The archaeologists dis not actually discovered the lost temple
Step-by-step explanation:
For us to be able to determine if the archaeologist actually discovered the lost temple, we need to find the dimension of the temple first.
Area of the temple = LW
Perimeter = 2L + 2W
L is the length
W is the width
If the perimeter is 220m
220 = 2L + 2W
110 = L+W ... 1
If the area is 2100 square meters
A = LW
2100 = LW ... 2
From 1;
L = 110 - W .... 3
Substitute 3 into 2
From 2;
2100 = LW
2100 = (110-W)W
2100 = 110W - W²
- W² + 110W - 2100 = 0
W² - 110W + 2100 = 0
Using the general formula;
W = -(-110)±√(-110)²-4(1)(2100)/2
W = 110±√3700/2
W = 110±60.83/2
W = 110±60.83/2
W = 110+60.83/2 and W = 110-60.83/2
W = 170.83/2 and 49.17/2
W = 85.415m and 24.585m
Substitute the width into the formula to get the length;
LW = 2100
L = 2100/W
L = 2100/85.415
L = 24.59 m
If the width is 24.585m;
L = 2100/24.585
L = 85.42m
Since we have different dimension of the temple, this show shat the archaeologists dis not actually discovered the lost temple