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.
4. Complete the following two-column proof.
Given: 5x - 2 = -12
Prove: x = -2
help please.
Answer:
x does equal -2
Step-by-step explanation:
Substitue x = -2:
[5(-2) -2 = -12]
Simplify:
[-10-2 = -12]
Add/Subtract from left to right:
[-12 = -12]
Therefore:
x = -2
Please help will give brainliest (please don’t answer if you don’t know it)
Answer:
it is 3 or 21
Step-by-step explanation:
because STUVW is equal to HGFED
I need helps please and ty
Answer:
y=7x+4
Step-by-step explanation:
Values of x and y satisfy the equation y=7x+4
Two congruent figures
have the same perimeter.
O sometimes
O Never
O Always
Answer:
always
Step-by-step explanation:
Find the area of the polygon with
E(3, 1), F(3, – 2), GC – 2, - 2)
Answer:
7.5 square units
Step-by-step explanation:
A = (.5)bh
= (.5)(3)(5)
= (.5)(15)
= 7.5
Victor runs 3 laps around the track every 5 minutes. How many laps does Victor run in 1 minute?
Answer:
Victor runs 0.6 of a lap in 1 minute
Step-by-step explanation:
From the question;
3 laps = 5 minutes
x laps = 1 minute
3 * 1 = 5 * x
3 = 5x
x = 3/5
x = 0.6
Victor runs 0.6 of a lap in a minute
1.) In a department store, a $120 belt is marked 25% off.
What is the discount?
What is the sale price of the dress?
Answer:
$30
$90
Step-by-step explanation:
Given parameters:
Selling price of belt = $120
Percentage discount = 25%
Unknown:
Discount = ?
Sale price of the dress = ?
Solution:
Discount is a reduction in the price of a commodity.
Discount = percentage discount x selling price of belt
Input the parameters and solve;
I. Discount = [tex]\frac{25}{100}[/tex] x 120 = $30
II. Sale price of the dress;
= selling price - discount amount
= $120 - $30
= $90
joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours then which of the following quantities is an appropriate representation of the number of minutes joe and his friends spent watching movies
the number of minutes joe and his friends spent watching movies are 4920 minutes.
What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that joe and his friends watched a total of 41 movies this past year. if a typical movie lasts approximately 2 hours.
Assume that the number of minutes joe and his friends spent watching movies is given by [x]. Then, we can write -
[x] = 41 x 2 x 60
[x] = 41 x 120
[x] = 4920 minutes.
Therefore, the number of minutes joe and his friends spent watching movies are 4920 minutes.
To solve more questions on functions, expressions and polynomials, visit the link below -
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What are school of fish ?
Answer:
if the fishes stay together for some reasons then it is shoaling if the group is swimming in same direction then it is schooling
2c - 12 = 9C + 2
How do i solve this
Is Figure A a reflection of Figure B?
Answer:
No
Step-by-step explanation:
please help ASAP i don't understand what to do
Answer:
Range is (-5,5)
Step-by-step explanation:
It is the range of y values for the graph
1/2 (4x+3) < 1/2 (2x+6)
Answer:
x< 3/2 hope this helps <3
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
Step 2: Subtract x from both sides.
Step 3: Subtract 3/2 from both sides.
Explain how using
basic facts can help you find 10 x 20 x 30 x 40 mentally.
Answer:
you just do 1x2x3x4
and then that equals 24
so now you have 24 and then you add 4 zeros because their are 4 zeros in the equation so then the final answer is
240000
Step-by-step explanation:
PLZ HELP ASAP WILL MARK BRAINLIEST
DEF will be 2.68
EF will be .67
1
2
3
What is the slope of the line represented by the equation y
Y = 4/5x - 3
Janice earned $725 dollars by working 5 days in a week. What is the average amount that she earned per day?
Answer:
She made an average of 145$ per day.
Step-by-step explanation:
If she earned 725$ in 5 days, just divide 725 by 5 for your average a day.
Carla is ordering pizzas for delivery. Each pizza costs $8, and there is a $6 delivery charge for the order. Write the function f(x), that Carla can use to determine the amount she will pay for having x pizzas delivered.
Answer:
8x+6
Step-by-step explanation:
Because each pizza is $8 you would have to multiply 8 by the amount of pizzas. Then you add the six because you only pay for the delivery charge once.
Combine like terms to create an equivalent expression. -\dfrac{1}{2}\left(-3y+10\right)−
2
1
(−3y+10)
Answer:
3/2y-5
Step-by-step explanation:
The expression – 1/2 (–3y + 10) is equivalent to the expression (3/2)y – 5.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
The expression is given below.
⇒ – 1/2 (–3y + 10)
Simplify the equation, we have
⇒ (3/2)y – 5
More about the equivalent link is given below.
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Help me please
Find the slope
Answer:
this is a negative slope.
Step-by-step explanation:
Tina is building a birdhouse. The plans have a scale of
1 cm : 2.5 inches. A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?
Answer: Actual area of wall = 50 sq. inches
Step-by-step explanation:
Given: Scale : 1 cm : 2.5 inches
A rectangular wall of her birdhouse has a drawing length of 2 cm and a width of 4 cm. What will the actual area of the wall be?
So, Actual length = 2 x 2.5 inches = 5 inches
Actual width = 4 x 2.5 inches = 10 inches
Actual area = Actual length x Actual width
= 5 x 10 = 50 sq. inches
Hence, Actual area of wall = 50 sq. inches
I WILL GIVE BRAINLEST PLZ HELP!!!
Analyzing Slope On a coordinate plane, a line goes through points (4, 24) and (16, 18). Willa says the slope of the graph is Negative one-third. What error did she make when finding the slope? The slope is positive instead of negative. She counted the squares instead of using the scale. She used the points that are further apart instead of the two consecutive points. She used StartFraction rise Over run EndFraction when finding slope.
Step-by-step explanation:
The Slope is calculated as the change in y over the change in x so you would need to do 5- (-5) which turns the negative sign to a positive making it 5+5=10 and the same thing with the 2s 2-(-2)=4 so the answer would be 10/4 or 5/2. Willa did the reciprocal.
if it's a multiple chose then the answer is b
hope this helps
Answer:
here is the answer
Step-by-step explanation:
A cookie recipe calls for 2 cups
of sugar.
How much sugar will I need if I
only make 2/3 of a batch?
Answer:
6
Step-by-step explanation:
Answer:I am not sure about the answer but when 2 multipled by 3 X 2 equals to 4/3
Help plz and thanks
Answer:
8
Step-by-step explanation:
4x4=16x8=128
what postúlate proves the triangle congruent
a.ASA
b.HL
c.SAS
d.SSS
e.AAS
You want to buy a guitar that costs $425, but today there is a sale of 30% off. What is
the sale price of the guitar you want to buy? Would it be a mark up or a mark down and how do you know?
Answer:
297.50
Step-by-step explanation:
This would be considered a markdown because the guitar is on sale.
PLZ ANSWER THE QUESTION 50 POINTS!!!!!!!
(-4,3) m=2 make this in point slope form
Answer:
y-3=2(x-(-4))
Or
y-3=2(x+4)
Step-by-step explanation:
Every relation that is linear, must also be a function true or false
Answer:
In order to be a linear function, a graph must be both linear (a straight line) and a function (matching each x-value to only one y-value).
Step-by-step explanation:
I hope this helps, sorry if it doesn't good luck
It is false that Every relation that is linear, must also be a function.
Given that,
A statement is to be justify that, whether is true and false that Every relation that is linear, must also be a function.
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
Linear functions are defined as functions whose graph is a straight line. A linear function has the following form. example f(x) = 1 + 2x. A linear function has only independent variable and only a dependent variable.
Let's understand with an example,
If y = 1 *[tex]x^0[/tex] , is a linear function but it's a verticle straight line. for every value of x, y is independent of x so for the function it is necessary that the function should be consist of an independent variable and a dependent variable,
Implies every function that is linear must not also a function.
Thus, It is false that Every relation that is linear must also be a function.
Learn more about function here:
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A fruit basket has 6 apples.
It has twice as many oranges as apples and twice as many
apples as bananas. How many more oranges than bananas
are there? Write the equation & answer
Answer: There are 9 more oranges than bananas because there are 6 apples, 12 oranges, and 3 bananas. (12-3=9)
Heyyy yugiii :)) what’s 20 times 50 minus 16 plus 28?
Answer:
hey do you want to do a zoom
Step-by-step explanation:
i am done with my basketball game