Answer:
0.09
Step-by-step explanation:
Given that 50% of this population prefers the color green.
Let p the probability that one person selected from the population prefer the green color of the car. So,
p=0.05
There is only two chance, any person either prefer the green color or not, assuming this holds true for every person, so the mentioned population can be assumed as Bernoulli's population.
By using Bernoulli's theorem, the probability of exactly r success of n randomly selected from the Bernoulli's population is
[tex]P(r)=\binom{n}{r}p^{r}{(1-p)}^{n-r}\cdots(i)[/tex]
Here, 15 buyers are randomly selected, so, n= 15 and
[tex]r= \frac1 3 \times 15=5[/tex]
So, by using equation (i), the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is
[tex]P(r=5)=\binom{15}{5}(0.5)^{5}{(1-0.5)}^{15-5}[/tex]
[tex]=\binom{15}{5}(0.5)^{5}{0.5}^{10}[/tex]
[tex]=\binom{15}{5}(0.5)^{15}[/tex]
=0.0916
Hence, the probability that exactly 5 buyers would prefer green out of 15 randomly selected buyers is 0.09.
{(-5, 4), (-4,-1), (-2, 1), (0, 4), (1,3)}
i need to find the domain and range
The required domain is {-5, -4, -2, 0, 1} and range is {4, -4, 1, 4, 3}.
As given in the question, for the ordered pairs given {(-5, 4), (-4,-1), (-2, 1), (0, 4), (1,3)} domain and range of the system is to be determined.
Range, it is the set of the values that come out to an outcome for a certain mathematical operation.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given the ordered pair are,
{(-5, 4), (-4,-1), (-2, 1), (0, 4), (1,3)}
Values in the place of abscissa x and ordinate y are the value of a set of domains and ranges respectively.
So domin = {-5, -4, -2, 0, 1}
and range = {4, -4, 1, 4, 3}
Thus, the required domain is {-5, -4, -2, 0, 1} and range is {4, -4, 1, 4, 3}.
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if you place a 37 foot ladder against the top of a 12 foot building, how many felt will the bottom of the ladder be from the bottom of the building
Answer:
Would it be 25 that’s what I got
Step-by-step explanation:
please help im really confused with this question <3
Answer:
anyways kikiwaka nana
Step-by-step explanation:
zu zu zu fheibgerghberg
rejgnerkgnerjgeik
PLS HELP WITH THIS QUESTION
Answer:
I think C
Step-by-step explanation:
HELP ME PLS one bottle of shampoo costs 6 dollars for 8 Oz a second bottle costs 4 dollars for 5oz of shampoo wich has a lower unit rate and how much lower
Answer:
The 8 oz has lower unit rate, it's lower by .2.
Step-by-step explanation:
8 oz divided by $6 = $1.333 for 1 oz ---- (round to 1.3)
6 oz divided by $4 = $1.5 for 1 oz
Which linear inequality is represented by the graph?
Answer:
The second one y≥1/3x-1
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
Abbey wants to use her savings of $1,325 to learn yoga. The total charges to learn yoga include a fixed registration fee of $35 and a monthly fee of $50. Choose the inequality that would be used to solve for the maximum number of months for which Abbey can learn yoga with her savings.
Answer: 35x+50x_<(less than or equal to)1,325
Step-by-step explanation:
it’s easy and I’m taking the test and got it right
The solution of the
equation 4p-2=10 is
(a)1
(b) 2
(c)3
(d)4
Answer:
option c
steps.4p-2=10
4p=2+10
4p=12
p=3
Answer:
(c) 3
Step-by-step explanation:
4p - 2 =10
4p =10 +2
4p =12
P =12 :4
p=3
Lucas scored 75, 78, 82, and 84 on his four algebra tests. There is one test remaining in the grading period. Lucas's homework average is 95. His teacher will count each test score and the homework average as one-sixth of Lucas's final grade. NEED THIS ANSWER NOWWWWWWWW
Answer:
Step-by-step explanation:
Let Lucas final grade be x
All Lucas grade will be 75, 78, 82, and 84 and x.
Average score = 95
Since we are not told what to look for, we can find the Lucas final grade.
Using the formula for calculating mean (average)
Mean = Sum of the score/total test taken
95 = 75+78+82+84+x/5
95 = 319+x/5
Cross multiply
95×5 = 319+x
475 = 319+x
x = 475-319
x = 156
Lucas final grade is 156
One sixth of Lucas final grade = 1/6 × 156 = 26
Calculate the total area of the figure below.
Answer:
156
Step-by-step explanation:
Which are the partial products of 3,706 × 4?
Answer:
14824
Step-by-step explanation:
the product is 14824
someone be quick PLEASEEEEEEEEEE
Solve LaTeX: \frac {b}{6} > -7
Answer:
[tex]\huge\boxed{b>-42\to b\in(-42;\ \infty)}[/tex]
Step-by-step explanation:
[tex]\dfrac{b}{6}>-7\qquad|\text{multiply both sides by 6}\\\\6\!\!\!\!\diagup\cdot\dfrac{b}{6\!\!\!\!\diagup}>(6)(-7)\\\\b>-42\to b\in(-42;\ \infty)[/tex]
20 POINTS! HELP ME PLZZ I NEED HELP WITH THIS! IS THIS RIGHT!
Answer:
A
Step-by-step explanation:
A prism has a volume of 620 in.³ the length is 10 inches and the width is 2 inches what is the height of this prism?
Answer:
Volume= 620 inches3
Length= 10 inches
Width= 2 inches
Height=?
10×2×31
=620
The height is 31 inches
help awnser attach the awnser using image
Step-by-step explanation:
Hey there!
The given points are; (-4,-1) and (4,2).
Use slope formula.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
Put all values.
[tex]m = \frac{2 + 1}{4 + 4} [/tex]
Simplify it.
[tex]m = \frac{3}{8} [/tex]
Therefore, the slope is 3/8.
Hope it helps...
!!PLEASE HELP QUICK!!Chauncy is paid $10 per hour. He works 2 hours a day for 5 days each week. How much money is Chauncy paid for his work each week? Which sentence can be used to answer the word problem?
A Chauncy is paid $___
B Chauncy works ___
C Chauncy works ___
D Chauncy is paid $___
Answer:
he make $100 a week
D Chauncy is paid $100 for his work each week
Answer:
Chauncy is paid $100 for his work each week
Step-by-step explanation:
how to solve this it says solve 6!
Answer:
720
Step-by-step explanation:
6*5*4*3*2*1=720
Which problem solving strategy would be best to solve this problem? Four people are in line at the movie theater. Jennifer is ahead of Jeanie. John is not first or last in line. Jarett is directly in front of Jennifer. Name the order in which the people are standing in line. A. guess, check and revise B. compute or simplify C. work backwards D. write an equation
Answer:
C. work backwards
Step-by-step explanation:
Given from the first statement of the question that that four people are in line. This is the result of the question, so the strategy required would be the work backwards.
Jennifer is ahead of Jeanie implies that Jeanie is somewhere behind Jennifer. Since John is neither the first or the last in the line, then he must be between Jeanie and Jennifer. And Jarett is directly in front of Jennifer, so that Jarett is the first in line. The arrangement goes thus:
Jeanie ⇒ John ⇒ Jennifer ⇒ Jarett
Answer:
The answer is C, work backwards.
Step-by-step explanation:
I really hope this helps.
Find the value of f(-6).
y = f(x)
Answer:
i believe the answer is 4
Step-by-step explanation:
Classify a triangle with side lengths of 9, 12, 17
A. Right
B. Acute
D. obtuse
Answer:
B.
Step-by-step explanation
give me brainliest
Side length 9, 12, 17 forms a obtuse angled triangle.
What is Pythagorean triplets?"Pythagorean triplets are combination of such three numbers which satisfy the Pythagoras theorem a² + b² = c²."
Formula used
Pythagoras triplet
c = hypotenuse
'a' and 'b' other two sides of a triangle
a² + b² = c² (Right angled triangle)
a² + b² ≤ c² (Obtuse angled triangle)
a² + b² ≥ c² (Acute angled triangle)
According to the question,
Given
Side length of a triangle = 9, 12, 17
Substitute the value in the formula of Pythagoras triplet we have,
a² = 81
b² =144
c² =289
c² > a² +b²
Therefore, triangle with side length 9, 12, 17 forms a obtuse angled triangle
Hence, Option(D) is the correct answer.
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an example of a number that is a rational number but not whole
Answer:
2/3
Step-by-step explanation:
Help Please I have a few minutes left :/
Using the rules of multiplying and dividing integers, identify when an answer will be negative. (Select all that apply)
positive ÷ negative
negative ÷ positive
positive x negative
negative x negative
negative x positive
negative ÷ negative
positive ÷ positive
positive x positive
URGENT! The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 20 ° more than the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
decorative image
Answer: [tex]53\frac{1}{3}[/tex]
Step-by-step explanation:
(x+20)+2x
x = 53.333333
What is -2x-4y=36 written in slope-intercept form?
Question 3 options:
y=12x+9
y=−12x+9
y=−2x−9
y=−12x−9
I will give a brainliest
6248 divided by 38
Quotient:
Remainder:
Given m∠GHF = 34°, m∠HJF = 124°, and m∠FKJ = 79°.
Angle GFJ = 56 degrees
Angle FGH = 124 degrees
Angle HFJ = 34 degrees
Angle HKJ = 101 degrees
Step-by-step explanation:
The measure of the angles are:
[tex]\mathbf{GFJ = 56}[/tex]
[tex]\mathbf{GFJ = 56}[/tex]
[tex]\mathbf{\angle HFJ = 34}[/tex]
[tex]\mathbf{\angle HKJ =101}[/tex]
The given parameters are:
∠GHF = 34°,
∠HJF = 124°,
∠FKJ = 79°.
(a) Angle ∠GFJ
This is calculated as:
[tex]\mathbf{GFJ = 180 - \angle HJF}[/tex] --- base angles of parallelogram add up to 180 degrees
So, we have:
[tex]\mathbf{GFJ = 180 - 124}[/tex]
[tex]\mathbf{GFJ = 56}[/tex]
(b) Angle ∠FGH
This is calculated as:
[tex]\mathbf{\angle FGH = \angle HJF}[/tex] --- opposite angles of parallelogram are equal
So, we have:
[tex]\mathbf{\angle FGH = 124}[/tex]
(c) Angle ∠HFJ
This is calculated as:
[tex]\mathbf{\angle HFJ = \angle GHF}[/tex] --- corresponding angles
So, we have:
[tex]\mathbf{\angle HFJ = 34}[/tex]
(d) Angle ∠HKJ
This is calculated as:
[tex]\mathbf{\angle HKJ =180 - \angle FKJ}[/tex] ---- supplementary angles
So, we have:
[tex]\mathbf{\angle HKJ =180 - 79}[/tex]
[tex]\mathbf{\angle HKJ =101}[/tex]
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how to factorise 3x-9x^2
3x-9x²
Factor out 3x from the expression
Answer: 3x^ x(1-3x)
The exact same experiment was conducted 16 times. How many times
should the results have been similar for them to be valid?
A. 8
B. 10
C. 7
D. 16
Write a sentence as an equation using the given information in each problem.
1. Write the sentence as an equation.
the product of 371 and d is the same as 52
2. Write the sentence as an equation. n decreased by 320 is equal to 139
3. Write the sentence as an equation. 317 is equal to k plus 110
4. Write the sentence as an equation.
the total of 374 and k is the same as 305
5. Write the sentence as an equation. 398 is the same as d plus 6
Answer:
1. 371 × d = 52
2. n - 320 = 139
3. 317 = k + 110
4. 374 + k = 305
5. 398 = d + 6
Step-by-step explanation:
1. 371 × d = 52
d = 52/371
d = 0.14016172506
2. n - 320 = 139
n = 139 + 320
n= 459
3. 317 = k + 110
k = 317 - 110
k = 207
4. 374 + k = 305
k = 305 - 374
k = -69
5. 398 = d + 6
d = 398 - 6
d = 392
pls answer for points
Answer:
Step-by-step explanation:
5/6 - (2/5 + 1/3)
25/30 - (12/30 + 10/30)
25/30 - 22/30 = 3/30 = 1/10
answer is b