Answer:
The answer is below
Step-by-step explanation:
Shoppers at a mall have a mean weight of 70 kg with a standard deviation of 10 kg. An elevator at the mall holds a maximum of 6 people, and safety engineers are curious about the average weight of shoppers on a full elevator. Suppose that we take random samples of 6 shoppers and calculate the mean weight x ˉ on top of the shoppers in each sample.
Solution:
Let variable x represent the weight of a shopper at the mall.
Assuming this variable has a normal distribution with mean μ= 70kg and standard deviation σ = 10kg.
There are random samples of 6 shoppers. That is sample size (n) = 6
The mean of the sample (μₓ) is the same as the mean of the population (μ), hence:
μₓ = μ = 70 kg
The standard deviation of the sample (σₓ) is equal to the standard deviation of the population (σ) divided by the square root of the sample size (n).. Hence:
σₓ = σ / √n = 10 / √6 = 4.08 kg
Answer:
Mean: 70
Standard Deviation: 4.1
Step-by-step explanation:
Khan Academy Answer
The blue figure is a dilation image of the black figure. The origin is the center of dilation. Tell whether the dilation is an enlargement or a reduction. Then find the scale factor of the dilation.
Answer: Reduction, 1/5
Because the image is smaller than the pre-image, it would be a reduction. Then you would count the length of one side of the Images. The length of the pre-image is 20 and the new image is 4. Then you would make a ratio of the new image to the pre-image which is 4/20, which simplifies to 1/5.
Hope this helps!
The scale factor of the dilation will be 1/4.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
The blue figure is a dilation image of the black figure.
And, The origin is the center of dilation.
Now,
Since, The blue figure is a dilation image of the black figure.
And, The origin is the center of dilation.
Here, The length of black figure = 16 units
And, The length of blue figure = 4 units
So, The scale factor of the dilation = 4/16
= 1/4
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ2
What is the rate of change and initial value for the linear relation that includes the points shown in the table?
x y
1 10
2 8
3 6
4 4
A right triangle is inscribed in a circle. Determine the area of the shaded region. Use
3.14 for \piπ and round to the nearest tenth.
Answer:
Step-by-step explanation:
[tex]\text{The radius of the circle is }r=\sqrt{3^2+3^2}\\ \\ r=\sqrt{18}\\ \\ \text{The area is }A=3.14r^2\\ \\ A=3.14(18)\\ \\ A=56.52\\ \\ \text{The area of the triangle is }A=6(6)/2\\ \\ A=18\\ \\ \text{The shaded area is the area of the circle minus the area of the triangle.}\\ \\ A=56.52-18\\ \\ A=38.52ft^2\\ \\ A\approx 38.5ft^2\text{ (rounded to nearest tenth)}[/tex]
class 9
if (x+1) is a factor of x³+2x²-5x-6, then factorise it.
please give me the answer fast...
9514 1404 393
Answer:
(x +3)(x +1)(x -2)
Step-by-step explanation:
A graphing calculator is a good tool for finding factors fast. Each zero (p) gives rise to a factor (x -p).
The graph shows zeros at -3, -1, and 2, so your factorization is ...
(x +3)(x +1)(x -2)
A monkey weighs 8.2 kilograms. How many grams does the monkey weigh? Use the number of zeros of the product when multiplying a number by a power of 10 to help you. (2 points)
A. 8,200 grams
B. 820 grams
C. 82,000 grams
D. 82 grams
Answer:
8,200= A)
Step-by-step explanation:
Does anyone know what is going on with this website? So many hackers, trolls, and people giving non answers to the questions asked! It didn't used to be this way. :(
Answer:
Lots of people are just answering to get free points now, they're not actually giving answers.
(and sorry if you miss the way it used to be).
Tyler's mom purchased a savings bond for Tyler. The value of the savings bond increases by 5% each year. One year after it was purchased, the value of the savings bond was $131.25. Find the value of the bond when Tyler's mom purchased it. The value of the bond when his mom purchased it was? Enter only the numeric value, no symbols or spaces. $
.
Answer:
125
Step-by-step explanation:
131.25 105
of 100
Cross multiply process
131.25x100=108x?
131.25x100=13125
13125=108?
13125/108=?
125=?
:)
10) y=-3x
-6x - 2y = -8
Help guys
Answer:
y=−9x and y=−4
Step-by-step explanation:
find the solution to the system of equations? 4x-3y-z=3 , -3x+5y+z=9, x+2z=6
Answer:
is this the one?
Step-by-step exExplanation:
Adding third equation to first one,
7
x
+
5
y
+
z
+
x
−
6
y
−
z
=
0
−
18
or
8
x
−
y
=
−
18
.
(
1
)
Adding 2 times of third one to second one,
−
x
+
3
y
+
2
z
+
2
⋅
(
x
−
6
y
−
z
)
=
16
−
2
⋅
18
or
x
−
9
y
=
−
20
(
2
)
Substracting 8 times of
(
2
)
from
(
1
)
,
8
x
−
y
−
8
⋅
(
x
−
9
y
)
=
−
18
−
8
⋅
(
−
20
)
71
y
=
142
, so
y
=
2
Hence,
x
−
9
⋅
2
=
−
20
or
x
−
18
=
−
20
, so
x
=
−
2
Thus,
7
⋅
(
−
2
)
+
5
⋅
2
+
z
=
0
or
z
−
4
=
0
, so
z
=
4Explanation:
Adding third equation to first one,
7
x
+
5
y
+
z
+
x
−
6
y
−
z
=
0
−
18
or
8
x
−
y
=
−
18
.
(
1
)
Adding 2 times of third one to second one,
−
x
+
3
y
+
2
z
+
2
⋅
(
x
−
6
y
−
z
)
=
16
−
2
⋅
18
or
x
−
9
y
=
−
20
(
2
)
Substracting 8 times of
(
2
)
from
(
1
)
,
8
x
−
y
−
8
⋅
(
x
−
9
y
)
=
−
18
−
8
⋅
(
−
20
)
71
y
=
142
, so
y
=
2
Hence,
x
−
9
⋅
2
=
−
20
or
x
−
18
=
−
20
, so
x
=
−
2
Thus,
7
⋅
(
−
2
)
+
5
⋅
2
+
z
=
0
or
z
−
4
=
0
, so
z
=
4planation:
PLEASE HELP WITH SYLLOGISM!!! Explain I will mark brainliest!!!!!!
Answer:
B. If I go to the movies, then I'll enjoy the movie.
Step-by-step explanation:
A net of a triangular prism is shown below. What is the surface area, in square feet, of the triangular prism
Answer:
[tex]Area = 152cm^2[/tex]
Step-by-step explanation:
Given
See attachment for the prism net
Required
Calculate the area
First, calculate the area of the two congruent triangle:
[tex]A_1 =2 * \frac{1}{2} * base * height[/tex]
Where
base = 6cm\ height = 4cm
So:
[tex]A_1 =2 * \frac{1}{2} * 6cm * 4cm[/tex]
[tex]A_1 =24cm^2[/tex]
Calculate the area of the middle rectangle
[tex]A_2 = Length * Width[/tex]
[tex]A_2 = 6cm * 8cm[/tex]
[tex]A_2 = 48cm^2[/tex]
Lastly, the area of the two congruent rectangles on both sides of the middle rectangle
[tex]A_3 = 2 * Length *Width[/tex]
[tex]A_3 = 2 * 8cm * 5cm[/tex]
[tex]A_3 = 80cm^2[/tex]
So, the surface area of the net is:
[tex]Area = A_1 + A_2 + A_3[/tex]
[tex]Area = 24cm^2 + 48cm^2 + 80cm^2[/tex]
[tex]Area = 152cm^2[/tex]
What is the square root of 32 rounded to the nearest tenth?
Answer:
5.6 hope this helps
Step-by-step explanation:
5.7............*.*.......
Solomon is wrapping presents for his 7 teachers. The box is shaped like the figure below. How much wrapping paper will Solomon need to cover all 7 boxes?
is the answer 907.2? i just need confirmation <3
Answer:
He said " How much wrapping paper will Solomon need to cover all 7 boxes" so its probably 7-10 i think
Step-by-step explanation:
haha 900 is too much :) good try
Finding perimeter and area.
Answer:
1. P = 14cm; A = 10cm^2
2. P = 24cm; A = 12cm^2
3. P = 32cm; A = 63cm^2
4. P = 36cm; A = 80cm^2
5. P = 32cm; A = 60cm^2
6. P = 36cm; A = 81cm^2
7. P = 26cm: A = 30cm^2
8. P = 28cm; A = 49cm^2
9. P = 26cm: A = 42cm^2
Step-by-step explanation:
Formula to find perimeter for a rectangle:
length + width + length + width
l + w + l + w
Formula to find area for a rectangle:
length × width
l × w
1.
Perimeter (P): 5 + 2 + 5 + 2 = 14
Area (A): 5 × 2 = 10
2.
P: 6 + 2 + 6 + 2 = 24
A: 6 × 2 = 12
3.
P: 7 + 9 + 7 + 9 = 32
A: 7 × 9 = 63
4.
P: 10 + 8 + 10 + 8 = 36
A: 10 × 8 = 80
5.
P: 10 + 6 + 10 + 6 = 32
A: 10 × 6 = 60
6.
P: 9 + 9 + 9 + 9 = 36
A: 9 × 9 = 81
7.
P: 10 + 3 + 10 + 3 = 26
A: 10 × 3 = 30
8.
P: 7 + 7 + 7 + 7 = 28
A: 7 × 7 = 49
9.
P: 6 + 7 + 6 + 7 = 26
A: 6 × 7 = 42
Area will always have its units squared (cm^2) because the formula requires we multiply the numbers and therefore the units: cm × cm = cm^2
Which statement is true?
0 3<-3
0 -333
-13 > -10
-10 > -13
I need help
Answer:
3<-3 FALSE
0>-333 True
-13>-10 false
-10>-13 true
Answer:
-10 > -13
Step-by-step explanation:
On a number line (I wanna see if this works lol)
|___|___|___|___|___|___|
-15 -14 -13 -12 -11 -10 -9
Plz answer quickly will mark brainless
Please hurry I'm being timed....
Answer: [tex]2\sqrt{34[/tex]
Step-by-step explanation: The answer simplified is 2 radical 34
This is the last math problem for today, I appreciate this app so much help me and Gn
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
14-8 is 6
Hope this answer helps
Describe the steps to solve using the Quadratic Formula:
Answer:
Put the equation into the form ax 2 + bx = – c.
Make sure that a = 1 (if a ≠ 1, multiply through the equation by. before proceeding).
Using the value of b from this new equation, add. ...
Find the square root of both sides of the equation.
Solve the resulting equation.
In a race, 29 out of the 50 bicyclists finished in less than 51 minutes. What percent of bicyclists
finished the race in less than 51 minutes? Write an equivalent fraction to find the percent.
29 x
%
50 x
100
Answer:
Step-by-step explanation:
Answer:
58%
Step-by-step explanation:
The fraction is 29/50, so the percent would be:
29 divided by 50 = 0.58, so as a percent that would be 58%
maths! please help :)
|AB|=10cm
|AD|=5cm
|DC|=6cm
The angles A and D are right angles. Find the length of [BC].
Answer:the first one
Step-by-step explanation:
Which property would you use to simplify the following expression? 2(y + 6)
A. Property Associative Property
B. Multiplication Property of Zero
C. Commutative
D. Distributive Property
Answer:
It seems like distributive property
Step-by-step explanation:
2y+12
Distributive. 2y+12=2(y+6)
The table shows the number of points Malik and Alexia scored while playing a video game together.
Which equation relates Alexia’s score, a, to Malik’s score, m?
A.a=0.5m
B.a=1.5m
C.a=m+10
D.a=m+30
pls help
Answer:
a=m+30
Step-by-step explanation:
because you see that malik is always 30 points under, and A would be Alexia and M is Malik,
The answer is a=m+30
If a right triangle has two legs a=7 and b=4, what is the length of the hypotenuse
please help I need to finish this for homework
Answer:
No, those three sides do not make up a right triangle.
Step-by-step explanation:
Remark
The three sides will be related by a^2 + b^2 = c^2
Givens
a = 60
b = 63
c = 88
Solution
a^2 + b^2 = c^2
60^2 + 63^2 = 88^2
I would say no.
88^2 ends in a 4. 63^2 ends in a 93600 ends in a 00 + 9 <> 43600 + 3969 = 7569
88^2 = 7744
Conclusion
This is not a right triangle 7744 does not equal 7569
An airplane company wants to make a model of an 87 foot airplane. The scale they are using is 2in=8ft. How many inches long with the model airplane be?
Question 2 options:
16 inches
21.75 inches
2 inches
10.875 inces
Answer:
B. 21.75 inStep-by-step explanation:
The length of the airplane = 87 feet
The scale
2in = 8ft ⇒ 1 ft = 2/8 in ⇒ 1 ft = 1/4 inThe length of the model:
87*1/4 in = 21 3/4 in = 21.75 inCorrect choice is B
PLEASE HELP QUICK I NEED help
Natasha is driving at a rate of 4 miles every 3 minutes. How fast is Natasha driving in miles per hour?
A. 12 mph
B. 45 mph
C. 75 mph
D. 80 mph
E. 133 mph
200% of x is 34. What is x?
Answer:
17?
Step-by-step explanation:
Guided Practice
In the expression 12p + 2.5c + 1.5s + 6, what does the variable s represent?
A.
the number of pizzas Amy orders
B.
the fee for delivery
C.
the number of cans of soda Amy orders
D.
the price of a can of soda
Answer:
C.
the number of cans of soda Amy orders
Step-by-step explanation: