Answer:
Step-by-step explanation:
The diameter of the circle is the length of a line going through the middle from one side to the other.
The radius is the length of a line going from the middle of a cricle to the side.
So, the radius is half of the diameter.
62.8÷2=31.4
The radius is 31.4 cm.
A study showed that 25% of the students drive themselves to school. Based on the suggested probability, in a class of 18 students, what would be the probability that at least 6 students drive themselves to school? (CDF)
A) 0.139
B) 0.283
C) 0.717
D) 0.861
Answer:
B) 0.283
Step-by-step explanation:
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
25% of the students drive themselves to school.
This means that [tex]p = 0.25[/tex]
Class of 18 students
This means that [tex]n = 18[/tex]
What would be the probability that at least 6 students drive themselves to school?
This is
[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]
In which
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{15,0}.(0.25)^{0}.(0.75)^{18} = 0.006[/tex]
[tex]P(X = 1) = C_{15,1}.(0.25)^{1}.(0.75)^{17} = 0.034[/tex]
[tex]P(X = 2) = C_{15,2}.(0.25)^{2}.(0.75)^{16} = 0.096[/tex]
[tex]P(X = 3) = C_{15,3}.(0.25)^{3}.(0.75)^{15} = 0.17[/tex]
[tex]P(X = 4) = C_{15,4}.(0.25)^{4}.(0.75)^{14} = 0.213[/tex]
[tex]P(X = 5) = C_{15,5}.(0.25)^{5}.(0.75)^{13} = 0.199[/tex]
[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) = 0.006 + 0.034 + 0.096 + 0.17 + 0.213 + 0.199 = 0.718[/tex]
[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.718 = 0.282[/tex]
Closest option is B, just a small rounding difference.
WILL GIVE BRAINLEST, What is the height of the trapezoid if the Area = 77 ft²?
Answer:
h = 7.333
Step-by-step explanation:
Answer: 7
Step-by-step explanation: I'm not sure about the actual mathematical explanation but I just took the quiz and I'm in the review right now :D
Which ratio expresses the scale used to create this drawing? The camping site has dimensions of 15 meters by 60 meters.
Answer:
Answer is d on edge 2021
Step-by-step explanation:
Answer:
it is d :)
Step-by-step explanation:
A small book publisher knows that 20 books weigh 37 lbs. How much do 34 books weigh
Answer:
62.9 lbs
Step-by-step explanation:
20 34
37 x
20x = 1258
x = 62.9
Answer:
[tex]\boxed {\boxed {\sf 62.9 \ pounds}}[/tex]
Step-by-step explanation:
Let's create a proportion using this setup:
[tex]\frac{books}{weight}=\frac{books}{weight}[/tex]
We know that 20 books weight 37 pounds. We don't what 34 books weigh, so the weight is x pounds.
[tex]\frac{20 \ books}{37 \ pounds}=\frac{34 \ books}{x \ pounds}[/tex]
[tex]\frac{20}{37}=\frac{34}{x}[/tex]
Cross multiply. Multiply the first numerator by the second denominator. Then, the first denominator and second numerator.
[tex]20*x=37*34\\20x=1258[/tex]
Since we are solving for x, we have to isolate the variable. It is being multiplied and the inverse of multiplication is division. Divide both sides by 20.
[tex]20x/20=1258/20 \\x= 1258/20 \\x=62.9[/tex]
34 books weigh 62.9 pounds.
What is 0.068 in percentages?
Answer:
6.8%
Step-by-step explanation:
Answer: 6.8%
Step-by-step explanation:
A student claims that if y-values are not increasing as x-values increase, then the data must show a negative association. Explain the error the student made.
Answer:
Because it can just stay constant. It may not change at all, so that's not a negative association
Step-by-step explanation:
k^2 ; k = 4
pls help
a hockey goalie scores 82% of shots at the goal, about how many shots can the goalie predict he will block in 735 tries
Answer:600
Step-by-step explanation:
Grace took one of her friends out to lunch. The lunches cost $100 and she paid 9% sales tax. If Grace left a 15% tip on the $100, how much in total did she pay?
Answer:
124
Step-by-step explanation:
100 x .09=9
100 x ,15=15
9 + 15=24
100+24=124
please help PLEASE help
Answer:
Your answer would be 4
Step-by-step explanation:
Convert the 4 3/4 into a decimal, 4.75.
First, you must multiply 5 and -3.5 together. Then you add everything on top together.
Divide the fraction
Answer:
F. 4
Explanation:
(5(-3.5)+4(3/4)-3.25) / -4 = 4
How many solutions can be found for the system of linear equations represented on the graph?
Answer:
one solution
⇒ The system of linear equation represented on the graph has only one solution.
Geometry need help........
Given :
In triangle AOR and triangle KTE :
Segment AO = Segment KT Segment OR = Segment TE ∠AOR = ∠KTESince two sides and one included angle of these two triangles are equal, we can conclude that these triangles are congruent under the SAS congruence criterion.
pls help i’m on the verge of tears
Answer:
Aw don't cry <3
It would be easier if you use a website with a graph! There is a website called "desmos" and if you search up desmos graphing calculator you will find it. Type in the points in the website, and it would add in the points for you.
but here is a piece of key information:
Make [tex]\frac{3}{4}[/tex] into a decimal. That would be 0.75.
Since it says "of the way from", count the boxes in the graph from each point.
Hope this helps! ^.^
Mr.Fuller wants to put fencing around his rectuangular-shaped yard. The width of the yard is 55 feet and the length is 75 feet. How many feet of fencing does Mr.fuller need
Answer: 22% fencing
Step-by-step explanation:
Mr. Fuller needs 260 feet of fencing to put around his rectangular yard.
What is the perimeter?Perimeter is the measure of the figure on its circumference.
Here,
To find the perimeter of the rectangular yard, we need to add up the lengths of all four sides.
The two sides that are 55 feet long are the width of the yard, and the two sides that are 75 feet long are the length of the yard.
So, the perimeter of the yard is:
Perimeter = 2 × (length + width)
Perimeter = 2 × (75 feet + 55 feet)
Perimeter = 2 × 130 feet
Perimeter = 260 feet
Therefore, Mr. Fuller needs 260 feet of fencing to put around his rectangular yard.
Learn more about perimeter here:
brainly.com/question/6465134
#SPJ3
Pick the object that matches this description:
The object is a square with an equilateral triangle Inside of it. One side of the
square is also a side of the triangle.
A.
B.
C.
8 ÷ one third = ___. one twenty fourth alt=twenty four twenty fourths 24 48
Answer:
Twenty four (24)
Step-by-step explanation:
8 ÷ one third
one third = 1/3
8 ÷ 1/3
= 8 × 3/1
= 24/1
= 24
1. In the right triangle shown below, determine the value of x. (Round to the nearest
tenth.)
Answer:
20.8
Step-by-step explanation:
so x is opposite the 60 degree angle so that means that it is half of the hypotanuese times root three
so then x would be equal
24/12=12 root three which is equal to 20.8
Which numbers are irrational?
Select each correct answer.
15−−√
21−−√
−9√
14√
Answer:
Step-by-step explanation:
square root of 15 is 3.8=irrational
square root of 21 is 4.58=irrational
square root of -9 is doesn't have a real square root
square root of 14 is 3.7 =irrational
The RADIUS of the barrel is 4. What is the area of the barrel?
Please help giving 30 pointss
Answer:
Your not giving 30 points ??
Step-by-step explanation:
Write the ratio 42:24 in its simplest form.
Answer:
7:4
Step-by-step explanation:
42:24
divide both sides by 6
7:4
Answer:
Find the GCD (or HCF) of numerator and denominator. GCD of 42 and 24 is 6.
42 ÷ 624 ÷ 6.
Reduced fraction: 74. Therefore, 42/24 simplified to lowest terms is 7/4.
Step-by-step explanation:
If a1 = 4 and an = -3an-1 then find the value of a4.
Answer:
[tex]a_4 = -108[/tex]
Step-by-step explanation:
Given
[tex]a_n = -3a_{n-1}[/tex]
[tex]a_1 = 4[/tex]
Required
Find [tex]a_4[/tex]
[tex]a_4 = -3a_{4-1}[/tex]
[tex]a_4 = -3a_3[/tex]
We calculate for a3
[tex]a_3 = -3a_{3-1}[/tex]
[tex]a_3 = -3a_2[/tex]
Calculate for a2
[tex]a_2 = -3a_{2-1[/tex]
[tex]a_2 = -3a_1[/tex]
Substitute 4 for a1
[tex]a_2 = -3*4[/tex]
[tex]a_2 = -12[/tex]
Substitute -12 for a2 in [tex]a_3 = -3a_2[/tex]
[tex]a_3 = -3 * -12[/tex]
[tex]a_3 = 36[/tex]
Substitute 36 for a3 in [tex]a_4 = -3a_3[/tex]
[tex]a_4 = -3*36[/tex]
[tex]a_4 = -108[/tex]
Evaluate the expression [2³ ×(140 ÷ 7)] - 32
Answer:
128
Step-by-step explanation:
(2³) (140/7)-32 =128
Answer:
128
Step-by-step explanation:
[2³ ×(140 ÷ 7)] - 32
[2³ ×( 20)] - 32
[8×(20)] - 32
[160] - 32
128
On in-line skates, Bradley skates 4 miles in 48 minutes. At this speed, how long would it take him to skate the entire length of a 12-mile bike path?
Answer:
144 minutes
Step-by-step explanation:
4 goes in 12 3 times so we have to do 48 times 3 too. Which is 144.
Answer:
Step-by-step explanation:
[tex]\frac{t}{12}=\frac{48}{4}\\ \\ t=144min[/tex]
student book grade 5 page 87
Answer:
Brainly isn't for answer keys... It's to help you understand how to do something better or just how to do it in general.
Step-by-step explanation:
Pls help extra points and mark brainlist
Answer:
I'm positive its 8
i hope it helps!
I’m confused as to how to do this
answer:
you can research their distances online for suggestions
step-by-step explanation:
i don't really have anything else i can help you with, but let me know if your teacher provided you with any resources to help you with thisif i find anything out, i will edit my answer to put the right answerPLEASE HELP ME WITH THIS QUESTION
Answer: 108
Reason: I asked my teacher.
Answer:
105
Step-by-step explanation:
(6^2)=0.027
(3^3)=0.037
(3*6)^4=104,976
0.027*0.037*104,976= 104.87/ or 105
The advantage of crop rotation was which of the following?
Determine which car gets the better gas mileage. *
Car
honda
toyota
distance
125
120
gallons
5
6
Answer:
honda
Step-by-step explanation: