Answer: Rachel recieved 45 votes.
Step-by-step explanation: Any easy way to solve this is to has the demonimator equal the total amount of votes. So in the questions, 8 is the denominator and 72 is the total amount of votes. To get from 8 to 72, you need to multiple 8 by 9. And whatever you do to the denominator, you must do to the numerator. So, 5 times 9 equal 45 which is the number of votes Rachel recieved.
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.
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.
2/5m to cm pls plshghhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
40cm
Step-by-step explanation:
Centimeter means "one hundredth of a meter," so:
1 m = 100 cm
How many meters times 100 will get you how many cm:
2/5m = ? cm
2/5 (100) = ? cm
200/5 = ? cm
40 = ? cm
2/5m = 40 cm
Pls help extra points and mark brainlist
Answer:
I'm positive its 8
i hope it helps!
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
I need help on this, please!
Answer:
(5,9) and (5,3)
Step-by-step explanation:
Because the point is (5,6), and the question tells you to plot two points that are three units away from (5,6) but share the same X coordinate.
The X coordinate is 5. And 6 is the Y coordinate, if we do 6-3=2. 6+3=9.
Suppose that a company wishes to predict sales volume based on the amount of advertising expenditures. The sales manager thinks that sales volume and advertising expenditures are modeled according to the following linear equation. Both sales volume and advertising expenditures are in thousands of dollars.
Estimated Sales Volume =46.63+0.47(Advertising Expenditures)
If the company has a target sales volume of $275,000, how much should the sales manager allocate for advertising in the budget?
Answer:
$485890
Step-by-step explanation:
Given
Estimated Sales Volume =46.63+0.47(Advertising Expenditures)
Required
Find the allocated amount for advertising expenditure when target sales is $275000
Represent the sales volume with V and The advertising expenditure with a.
So, the expression is:
[tex]V = 46.63 + 0.47A[/tex]
Since the expression is in thousands, substitute 275 for V
[tex]275 = 46.63 + 0.47A[/tex]
Collect Like Terms
[tex]275 - 46.63 = 0.47A[/tex]
[tex]228.37= 0.47A[/tex]
Make A the subject
[tex]A = \frac{228.37}{0.47}[/tex]
[tex]A = 485.89[/tex]
Hence, $485890 should be allocated for advertising
k^2 ; k = 4
pls help
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]
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
URGENT!!! Find the value of x using the similar trapezoids below.
Answer:
x= 30
Step-by-step explanation:
find the corresponding ratio AD:EH
20:12=5:3
is it constant? yes because 15:9 is also 5:3
if we're trying to find x on the larger side, we do x:18
what divides into 18 to equal 3? 6
we take 6 times 5 =30 so the ratio is now 30:18=5:3 so we know its correct
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
The advantage of crop rotation was which of the following?
The firm is requested to send 3 employees who have positive indications of asbestos on to a medical center for further testing. Suppose 40% of the employees have positive indications of asbestos in their lungs. a) Find the probability that exactly 10 employees will be tested in order to find 3 positives
Answer:
0.0645 = 6.45% probability that exactly 10 employees will be tested in order to find 3 positives
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.
40% of the employees have positive indications of asbestos in their lungs
This means that [tex]p = 0.4[/tex]
a) Find the probability that exactly 10 employees will be tested in order to find 3 positives
2 within the first 9([tex]P(X = 2)[/tex] when [tex]n = 9[/tex]), and the 10th, with 0.4 probability. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{9,2}.(0.4)^{2}.(0.6)^{7} = 0.1612[/tex]
0.4*0.1612 = 0.0645
0.0645 = 6.45% probability that exactly 10 employees will be tested in order to find 3 positives
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:
HELP PLEASE WILL GIVE BRAINLST I WILL DO ANYTHINGGGGGGGGGGGGG
Answer: B) 31.4 inches
Step-by-step explanation:
5 x 2 = diameter
10 x 3.14 (pie)
= 31.4
Answer: c) 31.4 inches
Step-by-step explanation:
5 x 2 = diameter
10 x 3.14 (pie)
= 31.4
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]
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
PLEASE 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
Two students have a bitter disagreement about the answer to a homework question and decide to settle their differences in a duel at the golf cours. The rules of the duel are simple:
Each student takes a single shot from the 18th tee. If only one student's shot lands on the green, that student is declared the victor and the duel is over. If both students' shots land on the green, the result is a draw and the duel is over. If they both miss the green, then they repeat another round (and so on) until the duel ends in a draw or with a victor. The result of each tee shot is independent. Student A has not spent much time at the golf course, resulting in a 0.55 probability that her tee shot will hit the green. Student B golfs regularly, resulting in a 0.76 probability that his tee shot will hit the green.
Required:
a. Whatâs the probability that the duel ends in round 1?
b.Whatâs the probability that the duel ends in the 3rd round?
c. Whatâs the probability that the duel ends in a draw (i.e., that neither student wins)?
Answer:
a.) P(duel end in round 1 ) = 0.892
b.) P(duel ends in the 3rd round) = 0.010
c.) P(duel ends in a draw) = 0.418
Step-by-step explanation:
Let
P(A) - Probability that Student A will hit the green.
P(¬A) - Probability that Student A will miss the green.
P(B) - Probability that Student B will hit the green.
P(¬B) - Probability that Student B will miss the green.
Given,
P(A) = 0.55 , P(B) = 0.76
As we know that,
P(A) + P(¬A) = 1
⇒P(¬A) = 1 - P(A)
= 1 - 0.55
= 0.45
⇒P(¬A) = 0.45
And
P(B) + P(¬B) = 1
⇒P(¬B) = 1 - P(B)
= 1 - 0.76
= 0.24
⇒P(¬B) = 0.24
So, we get
P(A) = 0.55 , P(B) = 0.76
P(¬A) = 0.45, P(¬B) = 0.24
a.)
P(duel end in round 1 ) = P( both hit on green or only one hit on green )
= P(A).P(B) + [ P(A).P(¬B) + P(¬A).P(B) ]
= 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ]
= 0.418 + [ 0.132 + 0.342 ]
= 0.418 + [ 0.474 ]
= 0.892
⇒P(duel end in round 1 ) = 0.892
b.)
P(duel ends in the 3rd round) = P( duel miss green in 1st round × duel miss green in 2nd round × both hit on green or only one hit on green in 3rd round )
= [ P(¬A).P(¬B) ] × [ P(¬A).P(¬B) ] × { P(A).P(B) + [ P(A).P(¬B) + P(¬A).P(B) ] }
= [ 0.45(0.24) ] × [ 0.45(0.24) ] × { 0.55(0.76 ) + [ 0.55(0.24) + 0.45(0.76) ] }
= [ 0.108 ] × [0.108] × { 0.418 + [ 0.132 + 0.342 ] }
= 0.011664 × 0.892
= 0.010404 ≈ 0.010
⇒P(duel ends in the 3rd round) = 0.010
c.)
P(duel ends in a draw) = P(both students' shots land on the green)
= P(A).P(B)
= 0.55(0.76)
= 0.418
⇒P(duel ends in a draw) = 0.418
Determine which car gets the better gas mileage. *
Car
honda
toyota
distance
125
120
gallons
5
6
Answer:
honda
Step-by-step explanation:
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
perimeters of similar figures
What is the solution to the system of equations graphed below?
y = 3x + 2
5
y = -2x - 3
Answer:
-2, 1 i'm very positivee
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
what is the volume of the rectangular prism?
Answer:
7yd cubed
Step-by-step explanation:
The total length of all the sides are:
2 1/3 yards (length)
1 yard (width)
3 yards (height)
So just multiply 2 1/3*1*3
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:
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
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 answerde-13m+5n-8p sustraer 7p-8m+3n
Answer:
its 300
Step-by-step explanation: