The probability that the experiment results in exactly successes is; [tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
How to find that a given condition can be modeled by binomial distribution?Binomial distributions consist of n independent Bernoulli trials.
Bernoulli trials are those trials that end up randomly either on success (with probability p) or on failures( with probability 1- p = q (say))
Consider that we have random variable X about binomial distribution with parameters n and p, then it can be written as;
[tex]X \sim B(n,p)[/tex]
The probability that out of n trials, there be x successes is given as;
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
The expected value and variance of X are given as:
[tex]E(X) = np\\Var(X) = np(1-p)[/tex]
Hence, the probability that the experiment results in exact success are;
[tex]P(X =x) = \: ^nC_xp^x(1-p)^{n-x}[/tex]
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A store owner mixes 2 lb of candy that cost x dollars per pound with 3 lb of candy that costs $1.50 per pound. She sells the mix for $2.50 per pound.
1. How much did the 2 lb of the first type of candy cost the owner?
2. How much did the 3 lb of the second type of candy cost the owner?
3. How much did the two types of candy cost the store owner in total?
4. How much money will the store owner get if she sells all of the new mixture?
5. Write an equation to find the cost per pound of the first candy
6. Solve the equation to find the owners cost of the first candy per pound
Answer:
1. How much did the 2 lb of the first type of candy cost the owner?
2x
2. How much did the 3 lb of the second type of candy cost the owner?
3*1.5 = 4.5
3. How much did the two types of candy cost the store owner in total?
2x + 4.5
4. How much money will the store owner get if she sells all of the new mixture?
(2 + 3)*2.5 = 12.5
5. Write an equation to find the cost per pound of the first candy
2x + 4.5 = 12.5
6. Solve the equation to find the owners cost of the first candy per pound
2x + 4.5 = 12.5
2x = 8
x = 4
what is negative five times negative one third
Answer:
-5 1/3
Step-by-step explanation:
Answer:
5/3
Step-by-step explanation:
A negative times a negative is a positive. So your answer will be positive.
When multiplying a whole number times a fraction, you multiply the whole (big) number times the top number (numerator) and just keep the bottom number (denominator) the same.
5 × 1/3
Is 5×1 on TOP and just keep the 3 on the bottom.
(5×1)/3
5/3
5/3 is the best answer, but if you are being asked for a "mixed number" then 5/3 is the same as 1 2/3.
an amusement park is running a special where you pay an entrance fee of $13 and will only charge $1 for the first 5 rides. After 5 rides, the price goes up to $4 per ride.
a. Write a function that represents the total cost of a trip to this amusement park
b. How much money will be spent if you go on 7 rides?
c. How many rides did someone go on who ended up spending $46?
Mr tan had 2 kg of sugar. He used 1/4 kg of sugar to make dessert and 3/5 kg of sugar to bake some cakes. What was the total mass of sugar used? How much sugar did he have left?
The total mass of sugar used is 1.7 kg.
The mass of sugar he has left is 0.3 kg.
What are fractions in math?In mathematics, a fraction is a numerical value that represents a portion of a whole. The entire can be any number, a specific value, or an item. Fractions are written as p/q.
Given:
Total mass of sugar Mr tan has = 2 kg
Fraction of sugar used to make dessert = 1/4 kg
Fraction of sugar used to bake some cakes = 3/5 kg
The total mass of sugar used is calculated as,
= Mass of sugar used to make dessert + Mass of sugar used to bake some cakes
Mass of sugar used to make dessert = (1/4 of 2) kg = 1/2 kg
Mass of sugar used to bake some cakes = (3/5 of 2) kg = 6/5 kg
Total mass of sugar used = (1/2 + 6/5) kg = 17/10 = 1.7 kg
Mass of sugar left = Total mass of sugar - Total mass of sugar used
= 2 kg - 1.7 kg = 0.3 kg
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Find a point-slope form for the line with slope 1/5 and passing through the point (-4,-5).
The Point-slop form for X is X = 5Y+15, and the Point-slop form for Y is [tex]\frac{X-5}{5}[/tex], for the line with a slope 1/5 and passing through the point (-4, -5).
Finding the slop form using the formula [tex]m=\frac{Y_{1} - Y_{2} }{X_{1} -x_{2} }[/tex]
The equation for x.
Here m=1/5.
∴ [tex]\frac{1}{5}=\frac{Y-(-4)}{X-(-5)}[/tex]
[tex]\frac{1}{5}[/tex] × X-(-5) = Y-(-4)
[tex]\frac{1}{5}[/tex] × X+5 = Y+4
X+5= 5Y+2O
X=5Y+20-5
X=5Y+15
∴Point-slop for X is X=5Y+15.
Solving for Y.
[tex]\frac{1}{5}=\frac{Y-(-4)}{X-(-5)}[/tex]
Simplifying and Solving.
[tex]\frac{1}{5}[/tex] × X-(-5) = Y-(-4), Taken 0n X-(-5) the right side.
[tex]\frac{1}{5}[/tex] × X+5 = Y+4
X+5= 5Y+2O
X+5-20=5Y
X-15=5Y
Taking 5 0n the right side.
[tex]\frac{X-15}{5}[/tex] = Y
∴ Point-slop form for Y is [tex]\frac{X-5}{5}[/tex]
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pls help me answer this
Answer:
hello!
Step-by-step explanation:
firstly lets convert the mixed fraction into a single fraction itself
thats 5/4
if each rope contributes to 5/4 meters then a rope with 8 pieces would be 5/4 x 8 which gives you the answer 10
How many times as great is the value 1.5 than the value of 0.15 Explain
The number of times the value 1.5 exceeds the value 0.15 is 10, which is obtained by dividing both values.
How do you calculate how many times a number is greater?We divide a by b to find how many times greater a number is than b; thus, to calculate how many times greater a number is, we use a division operation.
What exactly is a number comparison?To determine how many times greater a number is than b, we compare them, i.e. divide them.
As an example:
50/10 = 5, indicating that 50 is five times greater than ten.
We must determine how many times the value 1.5 is greater than the value 0.15.
For this , let us divide 1.5 by 0.15
Number of times the value is greater = 1.5/0/15
= 10
Therefore, the number of times the value 1.5 is greater than the value 0.15 is 10.
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dennis has sold $40 worth of chocolate bars for a fundraiser. if he sells over 175 worth of chocolate, he’ll win a prize.each bar is 2.50. How many bars does he need to sell in order to wins prize
Answer:
Dennis needs to sell 54 more
Step-by-step explanation:
50 POINTS!
David borrowed money from a credit union for 5 years and was charged simple interest of 6%. The total interest that he paid was $2,100. How much money did he borrow?
[tex]5 \div 6 \times 2100 = 1750[/tex]
Simplify the expression
(9− 3i) (−6+ 8i) =
[tex] = 9( - 6 + 8i) - 3i( - 6 + 8i) \\ = - 54 + 72i + 15i - 24 {i}^{2} \\ = - 54 + 87i - 24 {i}^{2} [/tex]
ATTACHED IS THE SOLUTION
If (2a) (2b) = 128, what is a + b equal to?
The exponents' best option will be determined by
a + b's value is seven.
Describe exponent.How often a number is multiplied by itself is indicated by the exponent.
For instance
In this case, 2 is multiplied by 4
Now in ( m times)
The base is designated as a, and the power is designated as m.
There are some indexing laws.
[tex]1)a^m \times a^n = a^{m+n}\\2)\frac{a^m}{a^n} = a^{m-n}\\3) (a^m)^n = a^{mn}\\4) (ab)^m = a^mb^m\\5) a^0 = 1\\6) a^{-m} = (\frac{1}{a})^m[/tex]
Here,
[tex](2^a)(2^b) = 128\\[/tex]
[tex]2^{a+b} =2^7[/tex] [According to laws of indices]
[tex]a + b = 7[/tex]
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Complete Question
If [tex](2^a)(2^b) = 128\\[/tex], then a + b is equal to?
Find the value of the monomial.
-8m^4 n^4 for m = 0.5 and n =2
The value of the given monomial, -8[tex]m^{4}n^{4}[/tex], when m = 0.5 and n = 2 is -8.
According to the question,
We have the following monomial:
-8[tex]m^{4} n^{4}[/tex]
We have m = 0.5 and n = 2.
Now, putting these values of m and n in the monomial:
-8 [tex](0.5)^{4} (2)^{4}[/tex]
(Please note that when a power is there on a number then it means that to solve the expression we have to multiply the base as many times as the given power. For example, in this case, we will multiply 2 four times and the result will be 16. This concept is applicable to every expression we are solving whether the base is in decimal or in fraction or a integer.)
-8*0.0625*16
-128*0.0625
-8
Hence, the value of the given monomial is -8.
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Imagine that it is now 2 p.m. What time will it be when the minute hand has rotated through
1260°?
A. 5:30
B. 4:50
C. 6:00
D. 4:10
when the minute hand rotated through 1260° time will became 5:30 PM
Complete angle:-
A complete angle is a type of angle that measures 360°.A complete angle deals with one full rotation measuring 360°.
In an hour or in 60 minute, minute hand covers a 360° angle.
According to question,
initially it is 2:00PM,that is minute hand at 12 and hour hand at 2
it is given that minute hand has rotated through 1260°
1260° = 3 x 360° + 180°
which means minute hand will have three complete rotation and one half rotation.
when minute hand rotated through 360° angle then hour hand will move from 2 to 3.
And again in second rotation, when minute hand rotated through 360° angle then hour hand will move from 3 to 4.
Again in third rotation, when minute hand rotated through 360° angle then hour hand will move from 4 to 5.
As of now, minute hand have taken three complete rotation and so hour hand reached at 5
Now, when minute hand rotated through 180° (one half rotation),minute hand will reach at 6 from 12.
So, right now the position of hour hand is between 5 and 6 and the position of minute hand at 6.
hence, time will be 5:30 PM
Option A is correct
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a number is between 26 and 31 it has the prime factors of 2 and 7 what is the number
Answer:
28
Step-by-step explanation:
2 x 7 = 14
Number should be in between 26 and 31
So,
14 x 2 = 28
28 has one of its prime factors as 2 and 7.
Hence,
28 is the number which is in between 26 and 31 it has the prime factors of 2 and 7.
Answer:
Step-by-step explanation: Given prime factors: 2, 7
By multiplying, 2 X 7= 14
Given, number is between 26 and 31
therefore, 14 X 2= 28 (since 2 is a prime factor)
ans: 28
Brainliest For Correct Answer
The approximate height of the door is 84in
What is a rectangle?A rectangle is a polygon with 4 sides and 4 right angles.
It has 2 lines of symmetry and one of that lines is called a diagonal.
Rectangles are cut into two to form right angled triangles.
The rectangle is divided into two right angled triangles
with a diagonal of 94 inches, base = 42 inches.
The height of the rectangle, the base and the diagonal form a right angled triangle.
By Pythagoras,
[tex](94)^{2}[/tex] = [tex](42)^{2}[/tex] + [tex](height)^{2}[/tex]
8836 = 1764 + [tex](height)^{2}[/tex]
[tex](height)^{2}[/tex] = 8836 - 1764 = 7072
height = [tex]\sqrt{7072}[/tex] = 84 inches
In conclusion, the height of the rectangular door is 84 inches approximately.
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Answer: B is the answer to the question
Step-by-step explanation:
Given the translation T(3, -1), translate the ordered pairs (-3, 6) and (9, -8).
Answer:
(-3,6)----> (0,5)
(9,-8)----> (6,-9)
Step-by-step explanation:
The translation T(3,-1) shows that we need to add three units to the x-coordinates and -1 unit to the y-coordinates, as follows in the answer above.
We poll 550 people and find that 60% favor Candidate S. In order to estimate with 90% confidence the percent of ALL voters would vote for Candidate S, we should use:
We are 90%sure that the interval (0.6036, 0.5963) contains the true population proportion.
Given that, n=550 (Sample size, Number of trials), p=0.6 (Sample proportion) and 1−α=0.9 (Confidence level).
What is confidence interval for a population proportion?The confidence interval is one of the most used for estimating population parameters in statistics. It is common to perform an interval with a known confidence level to find a range of values that show us information about the population.
Using the standard error of the sample proportions [tex]ME=z_{\alpha /2}.\sqrt{\frac{p(1-p)}{n} }[/tex]
[tex]=z_{0.9/2}.\sqrt{\frac{0.6(1-0.6)}{550} }[/tex]
[tex]=z_{0.45}.\sqrt{\frac{0.6(0.4)}{550} }[/tex]
= 0.1736 × √(0.24/550)
= 0.1736 × 0.0208
= 0.00361
Confidence interval = 0.6±0.00361
= (0.6+0.00361, 0.6-0.00361)
= (0.6036, 0.5963)
Therefore, we are 90%sure that the interval (0.6036, 0.5963) contains the true population proportion.
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The amount Abigail Frump makes, in dollars, working h hours can be represented by the expression 18h + 8. Abigail hopes to get a raise that
can be represented by the expression 2h + 32. Write an expression that represents how much Abigail will make working h hours if he gets the
raise. How much will he make for working 6 hours?
What is the value of x
What is the measure of the smaller angle
What is the measure of the larger angle
Answer:
x=8
larger angle=113
smaller angle=67
Step-by-step explanation:
8x+3=a(Vertically opposite angle)
a+14x+1=180°(Angles between parallel line)
8x+3+14x+1=180°
22x+4=180°
22x=176°
x=8
the value of [tex]\sqrt{6}[/tex] is not -4 because ______.
Answer:
D
Step-by-step explanation:
(-4^2) = 16 not -16
since,
you cant raise a number to an even power and get a negative value
determine whether the order pair is a solution 3x-1+2=4
Answer:
x=1
Step-by-step explanation:
3x−1+2=4
Add −1 and 2 to get 1.
3x+1=4
Subtract 1 from both sides.
3x=4−1
Subtract 1 from 4 to get 3.
3x=3
Divide both sides by 3.
x=
3
3
Divide 3 by 3 to get 1.
x=1
Help it was due yesterday
Answer:
10
Step-by-step explanation:
486-466 = 20
1/2 x 20 = 10
:]
Answer:
an expression that equals 10
Step-by-step explanation:
486 - 466 = 20
1/2 of 20 is 10
You don't list choices.
You need an expression that equals 10.
select the correct answer. the endpoints of WX are W(-5,-1) and X(2,6) what is the length of WX
Answer:
[tex]d=7\sqrt{2}\text{ }[/tex]Step-by-step explanation:
The distance between two points is represented by the following equation;
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Therefore, if the endpoints of WX are (-5,-1) and X(2,6):
[tex]\begin{gathered} d=\sqrt{(2+5)^2+(6+1)^2} \\ d=7\sqrt{2} \end{gathered}[/tex]compare 7.3 and 12 use <,>, or =.
Answer: 7.3 < 12
Step-by-step explanation:
Need help finding the perimeter
Answer:
Perimeter
P = 24.2
Step-by-step explanation:
Perimeter
P = 9 + √(6^2 + 6^2) + √(3^2 + 6^2) = 24.2
Distribute -3\left(7x^{2}+3x\right)
By using distributive property, [tex]-3\left(7x^{2}+3x\right) = -21x^{2} -9x[/tex]
This property states that multiplying the total of two or more addends by a number will produce the same outcome as multiplying each addend by the number separately and then adding the results together.
In order to quickly solve equations, a number is distributed across the integers in the brackets. When using the distributive property of multiplication, for instance, to resolve the expression 4(2 + 4), we would do so as follows: 4(2 + 4) = (4 × 2) + (4 × 4) = 8 + 16 = 24.
We have,
[tex]-3\left(7x^{2}+3x\right)[/tex]
Using Distributive Property, A(B+C) = AB+AC
[tex]-3\left(7x^{2}+3x\right) = -21x^{2} -9x[/tex]
Hence, [tex]-3\left(7x^{2}+3x\right) = -21x^{2} -9x[/tex]
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Solve the equation.
pls n ty
Answer:
0
Step-by-step explanation:
use a calculator =)
or
[tex]\sqrt[3]{125} = 5\\\sqrt{25} = 5\\ so , 5 - 5 = 0[/tex]
Find the simple interest and the total amount after three years.Principal = 11,750 rupeesAnnual rate of interest = 7.5%Total interest = (rupees)Total amount=(rupees)
The formula for calculating simple interest is expressed as
I = PRT
where
I represents the interest
P represents the principal or initial amount invested
R represents the interest rate
T represents the time in years
From the information given,
P = 11750
R = 7.5%
Recall, percentage is expressed in terms of 100. Thus,
R = 7.5/100 = 0.075
T = 3
By substituting these values into the formula,
I = 11750 x 0.075 x 3
I = 2643.75
Total interest = 2643.75 rupees
Total amount = principal + total interest
By substituting the values,
Total amount = 11750 + 2643.75
Total amount =
Answer: 11750 + 2643.75
Step-by-step explanation:
The formula for calculating simple interest is expressed as
I = PRT
where
I represents the interest
P represents the principal or initial amount invested
R represents the interest rate
T represents the time in years
From the information given,
P = 11750
R = 7.5%
Recall, percentage is expressed in terms of 100. Thus,
R = 7.5/100 = 0.075
T = 3
By substituting these values into the formula,
I = 11750 x 0.075 x 3
I = 2643.75
Total interest = 2643.75 rupees
Total amount = principal + total interest
By substituting the values,
Total amount = 11750 + 2643.75
Giselle stars with the two parallel line segments shown. She correctly reflects the segments across
the x-axis and then translates them following the rule (x,y) → (x-2, y + 5).
Line Segment AB has endpoints (2,4) and (-2,-1). Line Segment CD has end points (3,1) and (-1.-4).
(image attached)
Which statements about the reflection and translation of the line segments are true? Select all that
apply.
omg what is the......................
let x be a normally distributed random variable with mean 5 and standard deviation 15. please express your answer as a number between 0 and 100. if you want to write 52%, please enter 52. what is the probability that x is less than or equal to 38?
The probability that x is less than or equal to 38 is 0.9861.
For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.
First, solve for the z-score using the formula below.
z-score = (x – μ) / σ
where x = individual data value = 38
μ = mean = 5
σ = standard deviation = 15
z-score = (38 - 5) / 15
z-score = 33 / 15
z-score = 2.2
Find the probability that corresponds to the z-score in the z-table. (see attached images)
z-score = 2.2
probability = 0.9861
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