The diagram shows a track composed with a semicircle on each end. The area of the rectangle is 8,400 square meters. What is the perimeter of the th rack? Use 3.14 for pi
Answer:
468.4 meters
Step-by-step explanation:
Find the width of the rectangle.
The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.
A=length*width
8,400=140*width
60= width
Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a circle, the perimeter of the two semicircles is equal to the circumference of one circle.
The circumference of a circle is equal to pid, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.
So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.
≈188.4
(2 times 140)+ 188.4
So, the perimeter of the track is 468.4 meters.
At Burnt Mesa Pueblo, archaeological studies have used the method of tree-ring dating in an effort to determine when prehistoric people lived in the pueblo. Wood from several excavations gave a mean of (year) 1246 with a standard deviation of 42 years. The distribution of dates was more or less mound-shaped and symmetric about the mean. Use the empirical rule to estimate the following:
a. a range of years centered about the mean in which about 68% of the data (tree-ring dates) will be found between _______and _____ A.D.
b. a range of years centered about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.
c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.
Answer:
(1204 ; 1288) ;
(1162 ; 1330) ;
(1120 ; 1372)
Step-by-step explanation:
Given that:
Mean, m = 1246 years
Standard deviation, s = 42 years
68% is within one standard deviation the mean ;
Therefore 68% equals ;
mean ± 1(standard deviation)
(1246 - 1(42)) ; (1246 + 1(42))
1204 ; 1288
B) b. a range of years centered 95% about the mean in Which about Of the data (tree-ring dates) will be found between______ and ________ A.D.
95% is within two standard deviation of the mean ;
Therefore 95% equals ;
mean ± 2(standard deviation)
(1246 - 2(42)) ; (1246 + 2(42)
(1246 - 84) ; (1246 + 84)
(1162 ; 1330)
c. a range of years centered about the mean in Which almost all the data (tree-ring dates) Will be found between_____ and A.D.
About 99.7% which is within 3 standard deviations of the mean
99.7% is within 3 standard deviations of the mean ;
Therefore ;
mean ± 3(standard deviation)
(1246 - 3(42)) ; (1246 + 3(42))
(1120 ; 1372)
A 5x5 table is filled with numbers (one number per cell). It is known that the product of 5 numbers in each column is negative. Is it possible that the product in each row is positive?
Answer:
Yes
Step-by-step explanation:
A negative multiplied by another negative will turn into a positive. A positive multipled by a negative will stay as a negative.
6. Find the surface area of the triangular prism.
6 cm
8cm
8cm
5 cm
10 cm
Answer:
246m²
Step-by-step explanation:
use the formula for the surface area and substitute the values
Consumer Reports will have an article comparing refrigerators in the next issue. Some of the characteristics to be included in the report are the brand name and model; whether it has a top freezer, bottom freezer, or side-by-side layout; the estimated energy consumption per year (kilowatts); whether or not it is Energy Star compliant; the width, depth, and height in inches; and both the freezer and refrigerator net capacity, in cubic feet. What variables are categorical, and which are quantitative?
Answer:
brand name and model - - > CATEGORICAL
whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL
the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE
whether or not it is Energy Star COMPLIANT - - > CAREGORICAL
the width, depth, and height in INCHES - - - > QUANTITATIVE
both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE
Step-by-step explanation:
Given the following refrigerator characteristics :
brand name and model - - > CATEGORICAL
whether it has a top freezer, bottom freezer, or side-by-side LAYOUT - - > CATEGORICAL
the estimated energy consumption per year (kilowatts); - - - > QUANTITATIVE
whether or not it is Energy Star COMPLIANT - - > CAREGORICAL
the width, depth, and height in INCHES - - - > QUANTITATIVE
both the freezer and refrigerator net capacity, in cubic FEET - - - > QUANTITATIVE
To start with ; Categorical and quantitative variables differ most notably in the fact that, quantitative variables deals with numbers, measurements or calculated mathematical values of certain attribute in a measured species or sample. Categorical variable on the other hand mostly deals with making distinctions in properties of a sample by grouping the varibale into the different available categories based on their attributes.
I need to find the measure of PTR
Answer:
∠ DTR = 109°
Step-by-step explanation:
∠ DQT and ∠ TRS are alternate angles and are congruent, then
∠ TRS = 68°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ DTR is an exterior angle of Δ TRS , then
∠ DTR = 41° + 68° = 109°
What is the slope of the line through (2, 10) and (-2, 17)?
Can someone pls help me with this??
Answer:
[tex] - 0.75k + - 2[/tex]
Step-by-step explanation:
[tex]0.25 k- 1k[/tex]
[tex]1.5 - 3.5[/tex]
first you will combined 0.25 K - k and you will get -0.75
then combine 1.5-3.5 and get -2
What is the measure of 21?
13
126°
A
54°
B.
440
36°
126°
Answer:
<1 =126
Step-by-step explanation:
<2 = 126 since they are vertical angles
<1 = <2 since they are alternate interior angles
<1 =126
halona walks 1.93 kilometers in 23 minutes, assuming constant speed write a proportion that represents how many kilometers in x minutes
You buy 4 Chicken Burritos that each cost the same amount and a Coca Cola all
for $21.00. You know the Coca Cola costs $2.00. How much does each Burrito
cost?
Answer: $9.50
Step-by-step explanation: $21-2=$19; $19÷2=$9.50
HELP WALLAH AGAIN PLSSSS
Answer:
7
Step-by-step explanation:
the answer to the question is
7. :)
Enter the decimal represented by the shaded square.
15-[14/(15-8)+13-14]•
10
Answer:
5
Step-by-step explanation:
15-(2+13-14)×10 (beacuse 14÷7=2)
15-(15-14)×10
15-1×10
15-10
5 ans
The ratio of red to blue counters
in a bag is 1 : 4 The ratio of blue to
green counters is 2:3
If there are 20 red counters how
many green counters are there?
what is 117 ÷12 equal
Answer:
9.75
Step-by-step explanation:
A swimming pool and deck are built in a rectangle with length 40 ft and width 18 ft. If the pool itself is
320 square feet, what is the area of the deck itself?
A. 320 square feet
B. 400 square feet
C. 480 square feet
D. 560 square feet
How do I write this expression in fewer terms?
9m + k - (3m-2k)
Need help asap please!!!
Answer:15
Step-by-step explanation: 7 and a half times 2 is 15
the answer to that question is 15.
Suppose y varies directly with x. Write a direct variation equation that relates x and y when y = 6 and x = 12
Answer:
y = 1/2x
Step-by-step explanation:
y = 6
x = 12
y = ax
6 = a(12)
a = 6/12
a = 1/2
y = 1/2x
Hope this helps!
Use the following sets to answer the following:
Y: The set of yellow attribute pieces
H: The set of hexagonal attribute pieces
SY: The set of small yellow attribute pieces
SB: The set of small blue attribute pieces
L: The set of large attribute pieces
1. Which pairs of sets, if any, can be put into one-to-one correspondence?
2. Which pairs of sets, if any, are equal?
3. Which pairs of sets, if any, are disjoint?
4. Which set is a proper subset of another?
5. Which attribute pieces are in Y ∩ L?
6. Which attribute pieces are in Y UL?
Answer:
i have no clue
Step-by-step explanation:
tbh
In one online store, 12% of the orders are placed by new customers. Let N be the number of orders
placed in a day to reach the store's first new customer. Assume each order's customer status is
independent
Find the mean and standard deviation of N.
Round your answers to one decimal place.
Mean:
orders
Standard deviation:
orders
Answer:
Mean= 8.3
Standard deviation=7.8
Step-by-step explanation:
A circle has a diameter of 18
m. Find the area of the sector
whose central angle is 135º
Answer: i think i would be half of it
Step-by-step explanation:
Use the Distributive Property to find 13×612.
Answer:
(612 x 10) + (612 x 3) = 6120 + 1836= 7956
Step-by-step explanation:
so which one is it? a, b, c, or d? I NEED HELP ASAP NO STEP BY STEP NEEDED
THANKS SO MUCH :)
Answer:
The answer would be B. With equations, what you do to one side you have to do to the other.
I will give brainiest to whoever answers correctly !!
Answer:
14.0
Step-by-step explanation:
14.096 rounded to the nearest tenth
what is the decrease percentage ?
from 126 ounces to 48 ounces
Answer:
-61.904761904761905
Step-by-step explanation:
Math is how I got my answer.
Help I don’t get this at all and I need a answer fast
Answer:
3+x = y+6
Step-by-step explanation:
I hope this helps a little i have done algebra in a hot minute
A committee is to consist of two members. If there are seven people
available to serve on the committee, how many different committees can
be formed
Answer:
2
Step-by-step explanation:
Common Sense
The number of different ways committees can be formed will be 21.
What are permutation and combination?A permutation is an act of arranging items or elements in the correct order. Combinations are a way of selecting items or pieces from a group of objects or sets when the order of the components is immaterial.
A committee is to consist of two members.
If there are seven people available to serve on the committee.
If two people are selected from the group of seven people.
Then the number of different ways committees can be formed will be
⇒ ⁷C₂
⇒ 7! / [(7 – 2)! x 2!]
⇒ 7! / [5! x 2!]
⇒ 7 x 6 x 5! / [5! x 2 x 1]
⇒ 7 x 6 / 2
⇒ 7 x 3
⇒ 21
Thus, the number of different ways committees can be formed will be 21.
More about the permutation and the combination link is given below.
https://brainly.com/question/11732255
#SPJ2
Sharif stared a new job working 15 hours a week after how many weeks will he have worked a total of 75 hours ?
Answer: 5 weeks
Step-by-step explanation: Please give me brainliest
