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:
Brainliest to correct answer.
Answer:
The Triangles are proportional
Step-by-step explanation:
This is because the difference in each triangle is that each one is adding one inch to each side
pls put me as brainiest
Ms. D's 4th period geometry class has both freshman and sophomores. There are 27 kids in the class and it has twice as many freshman as sophomores. How many freshman are in the class?
let x=
let y=
A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex. A regular pentagon is shown. Lines are drawn from each point to a point in the center to form congruent isosceles triangles. The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees. The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent, what is the measure of a base angle of one of the triangles?
Answer:
Each base angle of one triangle is 54°
Step-by-step explanation:
Since the angles meeting in the center are congruent and all form 360° then it means each angle will be 360°/5 = 72°(since we have 5 angles).
Since they are all isosceles triangles, it means two base angles are equal and can be gotten by:
(180 – 72)/2 = 54°.
Each base angle of one triangle is 54°
The measure of a base angle of one of the triangles is 54°.
Given that,
A regular pentagon is created using the bases of five congruent isosceles triangles, joined at a common vertex.
A regular pentagon is shown. Lines are drawn from each point to a point in the center to form congruent isosceles triangles.
The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees.
The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent,
We have to determine,
What is the measure of the base angle of one of the triangles?
According to the question,
The lengths of all lines are congruent. The total number of degrees of all center angles is 360 degrees.
The total number of degrees in the center is 360°. If all five vertex angles meeting at the center are congruent,
The angles meeting in the center are congruent and all form 360°.
then it means each angle will be,
[tex]=\dfrac{360}{5}\\\\= 72 \ degree[/tex]
There are 5 angles.
Therefore,
All isosceles triangles, it means two base angles are equal and can be,
[tex]=\dfrac{180-72}{2}\\\\=\dfrac{108}{2}\\\\=54[/tex]
Hence, Each base angle of one triangle is 54°
To know more about Geometry click the link given below.
https://brainly.com/question/24863115
Which of the following sets of numbers could not represent the three sides of a right
triangle?
O {15, 20, 25}
O {20, 21, 28}
O {48, 55, 73}
{39, 80, 89}
100 points and brainliest if you get these right
Answer: 1. a
2. 8
3. b
4. -2
5. c
6. d
7. a
8. a
9. d
10. d
Step-by-step explanation:
PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answer:
60 po
Step-by-step explanation:
kase na try ko na ehh
Answer:
The correct answer is 15 kilometers.
Step-by-step explanation:
We know that your bike is 30 kilometers per every 2 hours. However, we need to find the speed per hour.
In order to find this quantity, we simply need to divide 30 kilometers by 2.
30 ÷ 2 = 15
Therefore, the correct answer is 15 kilometers.
Hope this helps! :D
What is 642 divided by 1083?
Answer:
.592 the full thing is .592797783934
Step-by-step explanation:
calculator
A motorcyle was traveling down the interstate for 3.5 hours and went
297.5 miles, what was the average speed of the motorcycle driver?*
A. 85 mph
B. 87 mph
C. 90 mph
D. 93 mph
help please!?
Answer:
85 mph
Step-by-step explanation:
297.5 divided by 3.5
Plz help due tomorrow
Answer:
20 percent or 0.7 .
Step-by-step explanation:
When Kyra solved an equation, she ended up with x = 0. She stated that there was no solution. Is Kyra correct?
Answer:
x=0 does not mean no solution
Step-by-step explanation:
so kyra is incorrect
Jason has been smoking cigarettes since he was 13 years old. He has smoked an a age of one pack of cigarettes a day since he started smoking. A single pack contains 20 individuals cigarettes. What is the number of cigarettes he will smoke by the time he's 15, 19, 25, and 50? How many packs will he have smoked by then?
Answer:
No of cigarettes
15 years of age = 14600 cigarettes
19 years of age = 43800 cigarettes
25 years of age = 87600 cigarettes
50 years of age = 270100 cigarettes
No of packs
15 years of age = 730 packs
19 years of age = 2190 packs
25 years of age = 4380 packs
50 years of age = 13505 packs
Step-by-step explanation:
Jason started smoking when he turned 13 years of age.
Average smoking per day = 1 pack = 20 cigarettes
No of Cigarettes consumed
When he turned 15 yearsNo of days = 730 days
No of cigarettes = 730 * 20 = 14600 cigarettes
When he turns 19No of days = 6*365 = 2190 days
No of cigarettes = 2190*20 = 43800 cigarettes
When he turns 25No of days = 12*365 = 4380 days
No of cigarettes = 4380*20 = 87600 cigarettes
When he turns 50No of days = 37*365 = 13505
No of cigarettes = 13505*20 = 270100 cigarettes
No of packs
15 years of age = 14600/20 = 730 packs
19 years of age = 2190 packs
25 years of age = 4380 packs
50 years of age = 13505 packs
Someone, please help me with this
Answer:
C = (0, 6)
E = (7, 0)
F = (0, -7)
Step-by-step explanation:
Answer: F is (0,-7)
C is (0,6)
E is (7,0)
Step-by-step explanation:
Equivalent ratios
Select two ratios that are equivalent to 3 : 12.
Choose 2 answers:
Answer:
1:4 and 6:24
Step-by-step explanation:
Answer:
1:4 and 16:18 or 3:1
Step-by-step explanation:
1:4 because 1 x 3=3 and 3 x 4=12,
3 x 1=3 and 1 x 12=12,
4 x 4=16
6 x 3= 18
There are 25 girls and 15 boys playing soccer this season.
a. What is the ratio of girls to boys?
Answer:
5:3
Step-by-step explanation:
hope this help brainliest pls
Find the average rate of change of the function f(x)=(3/-3x-5), on the interval x ∈ [0,3]
Answer:
9/70
Step-by-step explanation:
Mathematically;
Average rate of change on an interval [a,b] is;
f(b) - f(a)/b-a
f(0) = -3/5
f(3) = -3/14
a = 0
b = 3
Making the substitution, we have
-3/14-(-3/5)/3-0
= 3/5-3/14/3
= (42-15)/70/3
= 27/70/3
= 27/70 * 1/3 = 9/70
Mr. Grouper has budgeted $2000 for a graduation party for his son. The cost to rent the venue is $150 and each guests receives a $3.50 gift. How many people can Mr. Grouper invite to his sons graduation party?
Answer:
Mr. Grouper can invite 528 people to his sons graduation party.
Step-by-step explanation:
x= number of people
3.50x +150 =2000
-150
3.50x = 1850
1850/ 3.50
528.571428571 = 528
Mr. Grouper can invite around a total of 528 people to attend for the graduation party of his son.
What is Equation?Equation is a statement including expressions on two sides related by an '=' sign. This may or may not include two or more variables and can be solved using various methods.
Total budget for the graduation party = $2000
Cost to rent the venue = $150
Cost of gift for each guest = $3.50
Let n be the number of guests invited for the party.
Then 3.50n will be the total cost for the guests.
Then we have the linear equation,
150 + 3.50 n = 2000
Solving this will get the number of guests, n.
3.50n = 2000 - 150
3.50n = 1850
n = 1850 / 3.50
n = 528.57 ≈ 528
Hence Mr. Grouper can invite almost 528 people to his son's graduation party.
To learn more about Equations, click:
https://brainly.com/question/29220113
#SPJ5
Help please I don’t understand
Answer:
It is xy
Step-by-step explanation:
Answer:
XY
Step-by-step explanation:
omit the hypotenuse (XZ) since it's always hypotenuse while the adjacent and opposite sides vary.
hypotenuse cannot be both adjacent and hypotenuse at the same time.
how to write y-2=-1/3 (x+6) in standard form and why PLZ HELP
[tex]y-2=-\frac{1}{3}(x+6)\\y=-\frac{1}{3}(x+6)+2[/tex]
Simply move -2 to another side.
[tex]y=-\frac{x}{3}-2+2[/tex]
Distribute -1/3 in (x+6)
[tex]y=-\frac{x}{3}[/tex] ---> Answer
Answer:
x + 3y = 0
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
y - 2 = - [tex]\frac{1}{3}[/tex] (x + 6) ← distribute
y - 2 = - [tex]\frac{1}{3}[/tex] x - 2 ( add 2 to both sides )
y = - [tex]\frac{1}{3}[/tex] x ( multiply through by 3 to clear the fraction )
3y = - x ( add x to both sides )
x + 3y = 0 ← in standard form
Vince borrows $900 to buy a couch. He will pay off the loan by paying 1.5% simple interest for 2 years. Vince incorrectly calculates the amount he will pay back using the expression below. What is the correct amount Vince will pay back altogether?
Answer:
the correct amount that Vince have to pay back altogether is $927
Step-by-step explanation:
The computation of the correct amount that Vince have to pay back altogether is as follows:
As we know that
Amount = Principal + Principal × rate of interest × time
= $900 + $900 × 0.015 × 2
= $900 + $27
= $927
Hence, the correct amount that Vince have to pay back altogether is $927
We simply applied the above formula so that the correct value could come
And, the same is to be considered
What’s point B’
What’s point C’
After being dilated by a scale factor 1.5?
Given:
The given figure is dilated by a scale factor 1.5.
To find:
The coordinates of B' and C'.
Solution:
If a figure is dilated by a scale factor k at point (a,b), so the rule of transformation is
[tex](x,y)\to (k(x-a)+a,k(x-b)+b)[/tex]
From the given figure it is clear that A(3,-3), B(-2,2) and C(-3,-5).
The figure is dilated by a scale factor 1.5 at point A(3,-3), so the rule of transformation is
[tex](x,y)\to (1.5(x-3)+3,1.5(x-(-3))+(-3))[/tex]
[tex](x,y)\to (1.5(x-3)+3,1.5(x+3)+(-3))[/tex]
[tex](x,y)\to (1.5(x)-4.5+3,1.5(x)+4.5-3)[/tex]
[tex](x,y)\to (1.5x-1.5,1.5x+1.5)[/tex]
Using this rule, we get
[tex]B(-2,2)\to B'(1.5(-2)-1.5,1.5(2)+1.5)[/tex]
[tex]B(-2,2)\to B'(-3-1.5,3+1.5)[/tex]
[tex]B(-2,2)\to B'(-4.5,4.5)[/tex]
And
[tex]C(-3,-5)\to C'(1.5(-3)-1.5,1.5(-5)+1.5)[/tex]
[tex]C(-2,2)\to C'(-4.5-1.5,-7.5+1.5)[/tex]
[tex]C(-2,2)\to C'(-6,-6)[/tex]
Therefore, the coordinates of B' and C' are B(-4.5,4.5) and C'(-6,-6).
Three pears and four apples cost 1.60. four pears and five apples cost 2.05. find the cost of each pear and each Apple.
Answer:
use 2 variable for the problem. say pear=x apple=y.
3x+4y=1.6
Step-by-step explanation:
On July 4, 2017, the United States of America had a population of 325.7 million people. The total land area of the United States is 3,535,932 square miles. What was the population density of the United States on July 4, 2017? Round to the nearest tenth.
The population density in the United States is D = 92.1 people/mi^2
How to get the population density?
To get the population density, we need to take the quotient between the total number of people and the area.
In this case, we know that the total population is 325.7 million, and the area of the United States is 3,535,932 mi^2
Then the population density:
D = (325.7 million)/( 3,535,932 mi^2) = 9.21*10⁻⁵ million/mi^2
And we know that 1 million = 1,000,000 = 1*10⁶
Then:
9.21*10⁻⁵ million/mi^2 = 9.21*10¹ people/mi^2 = 92.1 people/mi^2
This means that in each square mile in the United States, there are around 92.1 people.
Learn more about Density at:
https://brainly.com/question/16894337
#SPJ1
Evaluate each expression
|30-5|-|-7|
Answer:
18
Step-by-step explanation:
|30 - 5| - |-7| = 18
The turkey Damian's dad bought at the store weighed 23 pounds after it was cooked. When his aunt cut all the meat off the bone, the meat weighed 17 pounds. Damian says that the meat of the cooked turkey was 74% of the weight of the turkey. Do you agree with Damian?
Answer:
YES.
Step-by-step explanation:
Given:
Weight of turkey with bone = 23 pound
Weight of turkey without bone = 17 pound
Computation:
Weight of turkey without bone percent = [17/23]100
Weight of turkey without bone percent = 73.913 %
Weight of turkey without bone percent = 74% (Approx)
So,
Damian says correct.
Your Assignment
Answer the questions to describe the transformations of figure ABCD.
1. Is A'B'C'D' a translation, rotation, or reflection of ABCD? Explain how you can tell.
Write your answer in the space below.
2. Is A"B"C"D" a translation, rotation, or reflection of A'B'C'D'? Explain.
Write your answer in the space below.
3. Suppose the measure of ∠B is 89°. Which other angles must measure 89°? How do you know?
Write your answer in the space below.
4. What is the perimeter of A"B"C"D"? Explain how you found the perimeter.
Answer:
i don't have the answer but i can add the chart for thos who can answer the question
Step-by-step explanation:
Answer:
1. Reflection
2. rotation and reflection
3. b', b''
4. 26.3
Step-by-step explanation:
1. It is like looking in a mirror. Its is being reflected across the y axis
2. It is rotated 90 degrees to the right. Then reflected over the x axis.
3. they are the same
4. It is the same as A" B" C" D" so the lengths are the same and you just add them.
Step-by-step explanation:
What is the vertex of the absolute value function defined by f(x)=|x+2|+4?
a) (2,4)
b) (-2,4)
c) (-2,-4)
d) (2,-4)
Jack cut two fabric circles of different sizes in his art class. The larger circle has a circumference of 22 inches, and the smaller circle has a circumference of 14 inches. What is the total area, to the nearest square inch, of the two circles? Use π≈3.14.
First, lets call the larger circle "A" and the smaller circle "B".
Write the equation in slope intercept form y - 4=10(x-5)
Answer:
y = 10x - 46
Step-by-step explanation:
slope intercept form: y = mx + b
m is slope and b is y-intercept
given: y - 4 = 10(x-5)
1. distibute 10
y - 4 = 10x - 50
2. we need to get y by itself so bring -4 to other side
y = 10x - 50 + 4
y = 10x - 46
slope-intercept form is [tex]y=mx+b[/tex]
[tex]y=10(x-5)+4[/tex] ↣ We move -4 to another side and become positive number.
[tex]y=(10x-50)+4[/tex] ↣ Distribute 10 inside the brackets.
[tex]y=10x-50+4\\y=10x-46[/tex] ↣ Then we get the slope-intercept form.
Thus, the answer is [tex]y=10x-46[/tex]
On a coordinate plane, an absolute value graph has a vertex at (1, 3). Which equation represents the function graphed on the coordinate plane? g(x) = |x + 1| + 3 g(x) = |x + 3| – 1 g(x) = |x – 1| + 3 g(x) = |x + 3| + 1
Answer: g(x)= |x-1| + 3
Step-by-step explanation: the |x-1| means you need to move the vertex to the right by one and the +3 means you must move the vertex up by three
The equation that represents the function on a coordinate plane is [tex]g(x) =|x - 1| + 3[/tex]
The vertex is given as:
[tex](h,k) = (1,3)[/tex]
An absolute function is represented as:
[tex]y = a|x - h| + k[/tex]
Substitute 1 for h, and 3 for k
[tex]y = a|x - 1| + 3[/tex]
Assume that the value of (a) is 1
[tex]y = 1 \times |x - 1| + 3[/tex]
So, we have:
[tex]y =|x - 1| + 3[/tex]
Represent as a function
[tex]g(x) =|x - 1| + 3[/tex]
Hence, the equation that represents the function on a coordinate plane is [tex]g(x) =|x - 1| + 3[/tex]
Read more about absolute functions at:
brainly.com/question/2166748
Need help ASAP
!
ありがとう