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.
If y is directly proportional to x. if y = 30 when x = -5, what is the value of y when x = 3?
Answer:
the correct answer is -2. I hope this helped
Jordan get a $10 allowance and works a job that pays $7.00 per hour. Alex gets a $20 allowance and works a job that pays $6.50 per hour. If they both work the same number of hours each week, how many hours would they need to work to have the same amount of money for the week?
Answer:
20 hours
Step-by-step explanation:
Let x = number of hours
Jordan
Allowance = $10
Pay per hour = $7
Total = 10 + 7x
Alex
Allowance = $20
Pay per hour = $6.50
Total = 20 + 6.50x
Equate total of Jordan and Alex earnings
10 + 7x = 20 + 6.50x
Collect like terms
10 - 20 = 6.50x - 7x
-10 = - 0.5x
Divide both sides by - 0.5
x = -10 / -0.5
= 20
x = 20 hours
Jordan and Alex will both work for 20 hours to have the same amount of money in a week
There are 5 number cards labeled 1 through 5. What is the probability and its complement of randomly drawing a card from this set that is more than 47
Answer:
impossible you cant get one that is over 5 if it only goes to 5
Step-by-step explanation:
Which method represents a correct way to solve the equation?
-x+(-3+x)2 = 6
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
OA.
Square -3.
Square x.
Subtract -7x from both sides.
OB. Subtract 9 from both sides.
Take the square root of both sides.
Square -3.
Square x.
Combine like terms
OC. Subtract 6 from both sides.
Use the quadratic formula to solve for x.
OD
Square the quantity (-3 + x).
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
Answer:
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
Step-by-step explanation:
Given:
-x (-3 + x )2 = 6
-x (-3 + x )2 = 6
-x (-6 + 2x) = 6
-6x + 2x^2 = 6
2x^2 - 6x - 6 = 6 - 6
2x^2 - 6x - 6 = 0
Multiply -3 by 2.
Multiply x by 2.
Combine like terms.
Subtract 6 from both sides.
Use the quadratic formula to solve for x.
can someone help with this please . questions 3 and 4
Simplify the expression.
74÷(32)
A. −218
B. 218
C. 76
D. −76
Answer:
Simplify the expression.
Exact Form:
37
16
Decimal Form:
2.3125
Mixed Number Form:
2
5
16
Una caja contiene 448 mascarillas, las cuales se deben acomodar en 3 cajas más pequeñas. En la primera se deben poner ; 1/8, del total, en la segunda 3/8 y en la tercera 4/8 ¿Cuántas mascarillas van en cada caja y cuántas quedan en la caja original?
Step-by-step explanation:
Si una caja contiene 448 cajas y debe acomodarse en tres cajas más pequeñas, si la primera contiene 1/8 del total, entonces el número de cajas en la primera será:
[tex]= \frac{1}{8}\times 448\\ = \frac{448}{8}\\ = \frac{8\times56}{8}\\ = 56[/tex]
Por lo tanto, la primera caja contiene 56 cajas más pequeñas.
Si el segundo contiene 3/8 del total, entonces el número de casillas en el segundo será:
[tex]= \frac{3}{8}\times 448\\ = \frac{3\times448}{8}\\ = \frac{8\times 3 \times 56}{8}\\ = 3 \times56\\= 168[/tex]
Por lo tanto, la segunda caja contiene 168 cajas más pequeñas.
Si el tercero contiene 4/8 del total, entonces el número de casillas en el tercero será:
[tex]= \frac{4}{8}\times 448\\ = \frac{1}{2} \times 448\\ = 224[/tex]
Por lo tanto, la tercera caja contiene 224 cajas más pequeñas.
La cantidad que quede en la casilla original se expresará como
= 448- (56 + 168 + 224)
= 448-448
= 0
Por lo tanto, no quedó ninguno en la caja original.
A set of data has a mean of 58 and only one outlier of 92. Which statement about this data set must be true?
The range is 34.
The range is 34.
The mode is equal to the mean.
The mode is equal to the mean.
The mean is greater than the median.
The mean is greater than the median.
The distribution curve is skewed to the right.
Answer:
The correct option is;
The distribution curve is skewed to the right
Step-by-step explanation:
The given parameters are;
The mean = 58
The outlier = 92
Given that the outlier, P, can be found from the following formula, we have;
P > Q₃ + 1.5·IQR = (Q₃ + 1.5 (Q₃ - Q₁)
92 > (Q₃ + 1.5 (Q₃ - Q₁)
Given that mean = 58
Therefore, the IQR, and Q₃ are relatively small compared to the outlier, and the data is skewed, with the more smaller numbers than there are large numbers which makes the distribution curve to be skewed to the right.
5. 27a3+216b3 ???
tomorrow is the submission :(
Answer:
(3a +6b) (9a² - 18ab + 36b²)
Step-by-step explanation:
27 = 3 * 3 * 3 = 3³
216 = 6 * 6 * 6 = 6³
a³ + b³ = (a + b)(a² - ab + b²)
27a³ + 216b³ = (3a)³ + (6b)³
= (3a + 6b)( (3a)² - 3a*6b + (6b)² )
= (3a +6b) (9a² - 18ab + 36b²)
Individual computer lab sessions at a school are 24 minutes long. On Monday, 313 students each completed a session at the computer lab. What is the total number of minutes the students spent at the computer lab?
Answer:
7512 minutes
Step-by-step explanation:
313 students each completed a 24 minute session. Which would be
313 · 24 = 7512
hope this helps... please amkr brainliest answer if correct:)
Name the subset(s) of real numbers to which the number belongs.
−1.57
A. integer only
B. rational only
C. irrational and rational
D. rational and integer
The length and breadth of a rectangle are in a 15 : 11 ratio. If the length is 56 cm more than the breadth, find the perimeter of the rectangle.
Answer:
g
Step-by-step explanation:
Answer:
Perimeter of rectangle = 728 cm
Step-by-step explanation:
Length : breadth = 15 : 11
Length = 15x
Breadth = 11x
15x - 11x = 56 cm
4x = 56
x = 56/4
x = 14
Length = 15 *14 = 210 cm
Breadth = 11 * 14 = 154 cm
Perimeter of rectangle = 2 * ( length + breadth)
= 2 *(210 + 154)
= 2 * 364
= 728 cm
PLEASE HELP ME OUT
John has two coupons to use at a clothing store. One is for $20 off and
the other is for 20% off. John wants to purchase a shirt with one of the
coupons and wants to pay the least amount that he can. Choose the
answer that BEST describes the situation.
A. The shirt will have the lowest price with the $20 off coupon
B. The shirt will have the lowest price with the 20% off coupon.
C. The shirt will cost the same with either coupon.
D. It depends on the cost of the shirt as to which coupon will help John pay the lowest
price
Answer: D. It depends on the cost of the shirt as to which coupon will help John pay the lowest price.
Step-by-step explanation:
You do not know how much a 20% discount is unless you know the price of the shirt. This can be more or less than $20, so you don’t know.
Hope this helps!
Answer:
D.
Step-by-step explanation:
For example if a shirt was $100 dollars, 100-20 = 80 and 100 x .8 = 80
But if the shirt cost $35, 35-20 = 15 while 35 times .8 = 28
This shows that the cost of the shirt is important in discovering which coupon is better.
Graph the exponential function.
f(x) = 4^x
Plot five points on the graph of the function. Then click on the graph-a-function button.
Exponential Function doesn't have a graph that intercepts x-axis only if it is f(x) = a^x (when a>0 and a ≠ 1)
If you want to plot five points to graph the function then. I'd rather do from negative number to positive number.
Substitute from -3≤x≤1 (We get 5 points)
f(-3) = 4^-3
f(-3) = 1/4^3
f(-3) = 1/64 (First point) (-3,1/64)
f(-2) = 4^-2
f(-2) = 1/4^2 = 1/16 (Second point) (-2,1/16)
f(-1)=4^-1 = 1/4 (Third point) (-1, 1/4)
f(0) = 4^0 = 1 (Fourth point) (0, 1)
f(1) = 4^1 = 4 (Fifth point) (1,4)
Find the equation of the line.
Use exact numbers.
Y=?x+?
Answer:
y=.75x-2
Step-by-step explanation:
4,1
8,4
3/4 or .75x
to check answer:
(.75*8)=6
6-2
4
The equation of the line shown in the graph is y = 4x / 5 -2.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points located on the graph that lies on the line are (0, -2), and (2.5, 0)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the value in the above equation,
m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5
The equation of the line is given as
y - y₁ = m (x - x₁)
Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)
y = 4x / 5 -2
Thus, the equation of the line shown in the graph is y = 4x / 5 -2.
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12x+8y=240
How do I solve for y ?
A relation between a collection of inputs and outputs exists comprehended as a function.
If the equation be 12x + 8y = 240 then the value of y exists 30 - (12x/8).
What is meant by function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
A relation between a collection of inputs and outputs exists comprehended as a function.
Let the equation be 12x + 8y = 240
8y = 240 - 12x
simplifying the above equation, we get
y = (240 - 12x) / 8
y = 30 - (12x/8)
Therefore, the value of y = 30 - (12x/8).
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Question 3 of 10
What is the slope of the line that contains the points (4.-1) and (-1,4)?
O A. 5
O B. -5
O c. 1
O D. -1
Answer:
D
Step-by-step explanation:
y=kx+m
In this case I think the slope would be k.
k=y2+y1 / x2+x1
(4,-1) and (-1,4)
k=(4-1)/(-1-4)= 3/-5= -0.6 which is about -1
Lee has decided to build a shed on a square concrete slab. The shed has the same width, w,as the slab. Its length is 2 m shorter than the width of the slab .
a) What is an expression for the area of the shed?
Answer:
w * w+2 = area of the shed
Step-by-step explanation:
Well you just do the width times the width plus two. (please Brainliest)
in an equation y varies directly as x varies. if y = 55 when x = 22, what is the value of x when y = 85?
Answer:
x=34
Step-by-step explanation:
If you put Y and X into a ratio then it will be
5:2
because since their GCF is 11, then we will have to divide both of the numbers by 11.
If y=85 then that means that it was multiplied by 17. If we want them to stay within the same ratio, then we will have to multiply X (2) by 17.
That will get you 34.
Which could be the first step of an indirect proof of the conditional below?
If x2 = 25, then 5’2= 25 and x = 5,
A. Assume x=5 is true.
B. Assume 52 = 25 is true,
C. Assume x2 + 25 is true.
D. Assume 52.25 and x + 5 are true,
Answer
Option D
Step-by-step explanation
For further help (727) 335-8234
The first step of indirect proof of the conditional below
If x2 = 25, then 5’2= 25 and x = 5 is assume 5² = 25.
Option B is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Conditions:
x² = 25 then 5² = 25 and x = 5
If we have to prove the above conditions indirectly, we have to prove that x² = 25 using the conditions 5² = 25 and x = 5.
So,
We have to assume,
Step 1:
5² = 25
Step 2:
x = 5
Step 3:
x² = 25
Thus,
The first step of indirect proof of the conditional below
If x2 = 25, then 5’2= 25 and x = 5 is assume 5² = 25.
Option B is the correct answer.
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Suppose Jane's mother replaces the six bags of trail mix. She also provides the group with 18 cans of juice. Each snack pack has the same number of apples, bags of trail mix, and cans of juice. What is the greatest number of snack packs Jane can make? Explain.
Answer:
six[6] snack packs.
Step-by-step explanation:
Without mixing words, let's dive straight into the solution to the question above. So. the mathematics principle behind this question is what is known or refer to as Greatest Common Factor. The term ''Greatest Common Factor'' with acronym GCF means the highest factor in the set of numbers given.
In this question, we are given that there are 18 cans of juice, 24 apples and 36 small bags of mix trails in order to make snack packs. Thus, we have three set of values or numbers that is 18, 24 and 36. Hence, the question/problem require us to determine the greatest number of snack packs Jane can make that is to find/determine the Greatest Common Factor.
STEP ONE: DETERMINE OR LIST OUT THE FACTORS FOR THE THREE SET OF VALUES GIVEN, THAT IS 18, 24 AND 36.
The factors of 18 = 1, 2, 3, 6, 9 and 18.
The factors of 24 = 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, and 36.
STEP TWO: DETERMINE THE GREATEST FACTOR COMMON TO THE THREE LISTS.
For the three lists, the greatest factor common to them is 6.
Therefore, The greatest number of snack packs Jane can make is six[6] snack packs
A baseball field is being constructed. The builders noticed that the batters would have the sun in their eyes when batting from point A. The builders decided to rotate the model 90° counterclockwise about the origin. Where is the new location of the batter?
Answer:
[tex]A' =(-y,x)[/tex]
Step-by-step explanation:
Given
Represent point A as thus;
[tex]A = (x,y)[/tex]
Required
Determine the new position of A, when rotated counterclockwise
The new position will be denoted as A'
When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:
[tex]Pos = (y,x)[/tex]
Then, y is negated to give A'
[tex]A' =(-y,x)[/tex]
Need help with the equations thank you
Step-by-step explanation:
#1
Equation 1 = 2-6 over 1-3
#2
Equation 1 = 1-4 over 2+3 Because instead of subtracting a negative you can write adding cause the double negative makes a positive
Guys Please HELP ME
If you give me answer quickly, I'll give you brainliest. Please help me (20 points)
Questions
1. Find the density of a cylinder with a height of 4mm, a radius of 4mm, and a mass of 250g
2. Find the density of a sphere with radius of 2m and a mass of 2kg
Answer:
Step-by-step explanation:
1st one is 62.5 kilogramic meter
2nd one is 1 kilo kilogram/cubic meter
Step-by-step explanation:
1)First calculate the volume
v=Pir²h
v=3.15×4²×4
v=201mm³
p=m/v
p=0.250/0.201
p=1.24Kg/m³
2)v=3/4pi r³
v=3/4×3.14×2³
v=33.5m³
p=m/v
p=2/33.5
p=0.0597kg/m³
How do you write 8.43 × 10^-4 in standard form?
Answer:
0.000843
Step-by-step explanation:
simplify the expression:
8.43 × 0.0001
now simplify:
0.000843
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A recipe calls for 4 teaspoons of salt to 12 teaspoons of red pepper flakes. How many teaspoons of salt are needed for each tablespoon of red pepper flakes?
Answer:
1 teaspoon of salt to 3 teaspoons of red pepper flake
Step-by-step explanation: 12 divided by 4
The ratio of adult cats to kittens at a pet care center on was 5:2 . There were 12 kittens there that day. Thursday , 38 adult cats were at the pet care center. What is the difference between the number of adult cats at the pet care center on thursday and monday?
Answer:
8 adult cats
Step-by-step explanation:
The ratio of adult cats to kitten at the pet care center was 5:2
No of adult cats= 5x
No of kitten cats= 2x
Since there were 12 kittens that day
2x= 12
x= 12/2
x= 6
Number of adult cats = 5x
= 5 × 6
= 30 adult cats
Therefore since there were 38 adult cats in the pet center in Thursday then the difference between the number of adult cats in Thursday and Monday can be calculated as follows
= 38-30
= 8 adult cats
Curtis won 53 pieces of candy playing a game at the county fairAt school he gave one to each of his classmates in his English class. He only has 25 remaining. How many did he give away?
what is an equation equivaent to x=-2
x-2=0 answer
Step-by-step explanation:
x=-2 move constant to the left by adding its opposite to both sides
x+2=2-2 the sum of two opposites equals 0
x-2=0
ANSWER X-2=0
Please help me i can’t get this one right. someone help me please if you know how to do this.
Answer:
it’s going up by 3 boys per girl!
Step-by-step explanation:
Correct me if I’m wrong by commenting down below.