Answer:
To find the perimeter, we want to find the circumference of the whole circle, divide by 2, and add the 24 inches to get the total perimeter.
A semicircle is half a circle. If the straight edge of the semi circle is 24 inches, that makes the diameter of the full circle 24 inches as well.
To find the circumference of the full circle, we need the formula:
C = 2πr
Circumference = 2 x pi x radius
Radius is half of the diameter, so 12 inches.
C = 2 x pi x 12
C = 75.36 inches
75.36 is the circumference of a circle with a diameter of 24 inches. Divide this by two to get 37.68 inches, which is the length of the round part of the mat. Adding 24 inches for the straight side gives you the final answer, 61.68 inches, or ABOUT 62 inches.
How many integers are there from 1,000 through 9,999? (b) How many odd integers are there from 1,000 through 9,999? (c) How many integers from 1,000 through 9,999 have distinct digits? (d) How many odd integers from 1,000 through 9,999 have distinct digits? (e) What is the probability that a randomly chosen four-digit integer has distinct digits? What is the probability that a randomly chosen four-digit integer has distinct digits and is odd?
Answer:
(a) [tex]Total= 9000[/tex]
(b) [tex]Total = 4500[/tex]
(c) [tex]Total = 4536[/tex]
(d) [tex]Total = 2240[/tex]
(e) [tex]Pr = 0.5040[/tex] --- Probability of distinct digits
[tex]Pr = 0.2489[/tex] --- Probability of odd distinct digits
Step-by-step explanation:
Solving (a): Integers from 1000 to 9999
To do this, we simply add 1 to the range.
i.e.
[tex]Total= Range +1[/tex]
Range is the difference between the given interval.
[tex]Total= 9999 - 1000 +1[/tex]
[tex]Total= 9000[/tex]
Solving (b): Odd integers
This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)
The first digit can not be 0 (i.e any of the remaining 9 digits)
There is no restriction to other digits
Numbers from 1000 to 9999 are 4 digits, so the possible selection are:
[tex]First= 9\\Second = 10\\Third = 10\\Last = 5[/tex]
Total selection is:
[tex]Total = 9 * 10 * 10 * 5[/tex]
[tex]Total = 4500[/tex]
Solving (c): Distinct digits
This implies that all 4 digits are different and the first can not be 0.
So, we have:
[tex]First = 9[/tex] i.e. (1 - 9)
[tex]Second = 9[/tex] i.e. (0 - 9) minus the first digit
[tex]Third = 8[/tex]
[tex]Fourth = 7[/tex]
Total selection is:
[tex]Total = 9*9*8*7[/tex]
[tex]Total = 4536[/tex]
Solving (d): Odd digits that are distinct
This implies that the last digit must be any of 1, 3, 5, 7 and 9 (i.e. 5 digits)
The first digit can not be 0 and must be different from the last (i.e 8 digits)
The second digit must be different from the first and the last(i.e. 8 digits)
The third digit must be different from the three other digits (i.e. 7 digits)
So,
[tex]Total = 5 * 8 * 8 * 7[/tex]
[tex]Total = 2240[/tex]
Solving (e): Probability that a number is distinct
In (a), total possible digits is 9000
In (c), total distints are 4536
So, the probability is:
[tex]Pr = \frac{4536}{9000}[/tex]
[tex]Pr = 0.5040[/tex]
In (d), total odd distinct digits are 2240
So, the probability is:
[tex]Pr = \frac{2240}{9000}[/tex]
[tex]Pr = 0.2489[/tex]
A box contains paper clips of three different sizes. The numbers of each size of paper clip are listed below.
· 100 small paper clips.
· 250 medium paper clips.
· 150 large paper clips.
One paper clip is randomly selected from the box. What is the probability that the paper clip selected is either small of medium?
Answer:
[tex]\frac{7}{10}[/tex]
Step-by-step explanation:
Add all paper clip sizes together:
[tex]100 + 250 + 150 = 500[/tex]
They want the probability of either a small or medium being chosen, so you add both paper clips sizes together.
[tex]100 + 250 = 350[/tex]
Now put the number of small and medium paper clips together over the total number of paper clips to find the probability.
Can divide 350 and 500 by 50, which simplifies it down to 7/10.
[tex]\frac{350}{500} = \frac{7}{10}[/tex]
The probability that the paper clip selected is either small or medium is 7/10.
What is the probability that the paper clip is either small or medium?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the paper clip selected is either small or medium = (number of small paper clip / total number of clips) + (number of medium paper clip / total number of clips)
= 100/500 + 250 / 500 = 350 / 500 = 7/10
To learn more about probability, please check: https://brainly.com/question/13234031
Choose the sentence that is out of sequence.
Mary Jo began reading The Alphabet Book.
Mother put Jimmy to bed.
Jimmy helped read.
Jimmy fell asleep.
Answer:
C.
Step-by-step explanation:
What is the domain? Is it (-4,3)
Yes I think you are correct. The domain appears to be the set of x values such that -4 < x < 3 meaning that x is between -4 and 3, excluding each endpoint. In interval notation, that translates to (-4, 3). This of course assumes that we have two vertical asymptotes bookending the left and right sides of the curve, and these vertical asymptotes are at x = -4 and x = 3. If the curve extends beyond these boundaries, then the domain would instead be the set of all real numbers.
What type of data display is shown below?
Student Grades
60
69
99
82
92
60
70
HA
100
80
90
O A. Histogram
O B. Box-and-whisker plot
C. Stem-and-leaf plot
O D. Scatterplot
Answer:
B) Box-and-Whisker plot
Which of the following terms correctly describe the object below?
Check all that apply.
A. Polygon
B. Pyramid
C. Triangle
D. Prism
E. Polyhedron
F. Square
Answer:
pyramid, solid, polyhedron
Step-by-step explanation:
The given figure is a pyramid.
What is a pyramid?A pyramid is a three-dimensional shape. A pyramid has a polygonal base and flat triangular faces, which join at a common point. A pyramid is formed by connecting the bases to a vertex. Each edge of the base is connected to the vertex, and forms the triangular face, called the lateral face.
The given figure is a square pyramid, since it has a square base where all the edges are joined at a common vertex by four triangular faces. A square pyramid characterized by a square base is a three-dimensional shape having five faces, thus called a pentahedron. The most famous example of such a square pyramid is the Great Pyramid of Giza.
Learn more about pyramid here
https://brainly.com/question/13057463
#SPJ2
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
Answer B will be the best answer for your question.
Step-by-step explanation:
Polygons usually have straight sides, but this one does not.
Which of the following is most likely the next step in the series?
Answer:
Its D
Step-by-step explanation:
The total number of running yards in a football game was less than 100. The inequality x < 100 represents the situation.
Which graph represents the inequality?
95 96 97 98 99 100 101 102 103 104 105
O,
95 96 97 98 99 100 101 102103104105
o
95 96 97 98 99 100101102103104105
95 96 97 98 99 100 101 102103104105
Answer:
sorry I'm late but it's b I'm on unit test on edge
Answer: it is b
Step-by-step explanation:
Marking as brainliest
So basically I need u to in ur on words for the reasoning to explain to me how I got my answer. An the answer is in the second box I circled it btw this is 9th grade algebra!
you knew that it had to be a total of $60.60 and that the flat cost of the plan is $48. so you subtracted the flat cost from the total cost to get the amount that could be spent on gigabytes of data. since you knew that the gigabytes cost $3 each, you divided the remaining budget (12.60) by $3 and got the number of gigabytes that she can get.
sorry if that's confusing or wordy! hope it helps!
Carmen runs each lap in 4 minutes. She will run less than 28 minutes today. What are the possible numbers of laps she will run today?
Answer:
# of laps < 28, the number of laps will be less than 28.
1 lap = 4 minutes
28 laps = 112 minutes
Because we want less than 28 laps,
27 laps = 108 minutes
She can run any amount of laps less than 28.
Box Plot for Problem #12
Please help!
Thank you ☺️
Answer:
I think it's,1,7,7 that will not make a triangle
hope this help
All but one of the following cannot be used internationally
Answer:
I think national flag cannot be used internationallyStep-by-step explanation:
hope it helps youA pair of shoes has been marked up by 65%. If the original price was $40.00, what is the new price?
Answer:
First we need to see how many times 65% will make the price go up by 100%. We can see this by dividing 100 by 65. 100 divided by 65 is 1.53846153846. Now we can multiply 40 by 1.53846153846 and see what we get. 40x1.53846153846=$61.5384615384.
This is a lot of decibal numbers so if you seek more help then contact me on discord at Mousycritter#2842 for free advice!
Step-by-step explanation:
HELPP!!! 65 points GIVIN
its 3 1/4 you will thank me later :)
Answer:
the third one
3 1/4
Step-by-step explanation:
How do I do number 2 and 4 please help
Answer:
2: 176.8mm
4: ?
Step-by-step explanation:
2: 56 times 3.14 = 175.84 --> Nearest tenth: 176.8
4: I can't see the problem, sorry :(
Answer:
2. 2461.8
4. 86.6
Explanation:
your formula for area is pi×radius^2
you are using 3.14 for pi
and your radius is half way across the circle or half the diameter.
2. 3.14×(28)^2
3.14×784
=2461.8
4.This one shows the diameter so you have to divide it by 2 first.
10.5/2=5.25
radius=5.25
3.14×(5.25)^2
3.14x27.5625
=86.6
I ROUNDED BOTH ANSWERS AT THE END
Please help me with this problem. Do not send me a link to some random website. I do not trust the link given that requires me to download it nor does Brainly allow links to websites other than itself to be on its community or whatever.
Answer: [tex]\left[\begin{array}{ccc}|x|0|1|2|3|4|5|6|\\|P(x)|0|4|8|12|16|20|24|\end{array}\right][/tex]
b. P(x)= 4x
c. The graph would go in a straight line touching each point given.
Step-by-step explanation: To find the perimeter of a square you can use the equation 4(x). If you multiply each x value by 4 you'll get the P(x) values.
If there were five times as many children as adults at the picnic and there were at least 120 people at the picnic, how many adults and children were at the picnic?
Answer:
20 adults
100 Children
Step-by-step explanation:
Answer: 20 adults and 100 children
Step-by-step explanation:
a = adults, c = children
120 = a + c
c = 5a
120 = a + 5a
120 = 6a
20 = a
20 times 5 is 100 so 100 children
A fire truck pulls up to a burning building with a person trapped at the 4th floor window which is 45 ft off the ground. The truck is parked 9 ft away from the building to give the firefighters and police room to work on the ground. The base of the ladder is 5 ft off the ground already because it is sitting up on the truck. If it takes 2 seconds to extend the ladder one foot, how long will it take the firefighters to extend the ladder to the window?
Answer:
108 seconds i belive
Step-by-step explanation:
40 x 2 = 80 seconds and if you add the 9ft 108 seconds
I need help plz (will give brainlyist)
Answer:
x=5/2 ft
Step-by-step explanation:
∵V=lbh
⇒15/16= 3/4×1/2×x
⇒(15/16)÷(3/8)=x
∴x=5/2 ft
GIVING EVERYTHING IF CORRECT. No fake answers, you will be reported.
Answer:
283.5
Step-by-step explanation:
Find h.
10 cm
h = ✓ [?] cm
8 cm
Answer:
√86 cm
Step-by-step explanation:
radius² + h² = slope² slope = 10 radius = 4
h² = slope² - radius²
h = √(slope² - radius²)
= √(10² - 4²)
= √ 86
=
Answer: 84
...........
What’s the answer to this ?
Answer:
Step-by-step explanation:
[tex]0.25=\frac{x}{140} \\140*0.25=\frac{x}{140}*140\\35=x[/tex]
1st box: 140
2nd box: 140
3rd box: 35
How many solutions dose x+y=10 x+y=12
Answer:
There are infinite solutions.
Think about it. The equation says essentially:
12 + any number = 12 + any number.
y + 12 = y + 10 + 2
y + 12 = y + 12
y - y = 12 - 12
0 = 12 - 12
0 = 0
Step-by-step explanation:
A sphere has a radius of 5. What is its diameter?
Answer:
D=10
Step-by-step explanation:
Diameter of a Sphere
D = 2 r
D=2(5)
D=10
Answer:
Diameter = 10
Diameter - is the full thing
Radius - Is only half of the diameter.
Step-by-step explanation:
The picture will explain it to you visually
m
Which is equivalent to *_?
V2
OA.
xV2
2
2x
OB.
V2
Oc.
2x
12
OD.
D. **v2
2
O E V2x
PLS HELP WILL GIVE BRAINLESS
Given 4 < a < 5, 2 < b < 4 Find: a / b
Answer:
I hope this helps!
Step-by-step explanation:
4<a<5
2<b<4 multiply
4x2 < axb < 5x4
8<ab < 20
Answer:
1<a/b<2.5
Step-by-step explanation:
bro you're gonna give me brainless ://
We are given 4<a<5 and 2<b<4 and are asked to find a/b.
Since there is a wide range of values of numbers from 4 to 5 and 2 to 4, there is no definite answer to this. However, we can take the most extreme values here and write them on the opposite ends of the inequality.
For example, the lowest value here is >4/4 (>1) because that is the smallest value from the first inequality divided by the largest value from the second inequality. The other extreme is the biggest value possible, which is <5/2 (<2.5).
Given these extremes, we can now rewrite the inequality.
(smallest value)<a/b<(largest value)
1<a/b<2.5
Pls help ! Find the value of x .
Answer:
101
Step-by-step explanation:
180-79=101
have a great day
Answer:
the value of x is 101 degrees
What is the volume of a rectangular sandbox that is 4 feet by 5 feet by 2 feet?
(A) 14ft
(B) 11ft
(C) 40ft
(D) 22ft
Answer:
40 ft
Step-by-step explanation:
lxbxh is 40 hope it helps have a great day Mark me as brainiest please