Answer:
The probability that none of the houses will develop a leak is 0.6543.
Step-by-step explanation:
Let X denote the number of houses in an urban area that develop a leak.
The probability that a house in an urban area will develop a leak is, p = 0.02.
A random sample of n = 21 houses are selected.
Every house is independent of developing a leak.
Thus, the random variable X follows a binomial distribution with parameters n = 21 and p = 0.02.
Compute the probability that none of the houses will develop a leak as follows:
[tex]P(X=0)={21\choose 0}(0.02)^{0}(1-0.02)^{21-0}\\\\=1\times1\times 0.654256\\\\\approx 0.6543[/tex]
Thus, the probability that none of the houses will develop a leak is 0.6543.
Please help ASAP
Complete the explanation to determine whether each statement is always, sometimes, or never true. If line d is perpendicular to line e, then the slope of line e is 0.
If line d is vertical, then line e is (parallel, vertical, or horizontal) and has a slope of 0. The statement is (always, sometimes, or never) true.
Answer:
Step-by-step explanation:
We know that, two lines with same slope are parallel.
Thus two lines with same positive slopes are parallel.
⇒Two lines with positive slopes are sometimes parallel.
Two lines with same slope can never be perpendicular to each
other as they must be parallel.
ANY EXAPLE OF DISTRIBUTIVE PROPERTY FAST!!!
Answer:
My example: 7(2 + 7) = 7(2) + 7(7)
Formula: x(y + x) = x*y + x*x
Step-by-step explanation:
The distributive property can be represented by the following equation:
x(y + x) = x*y + x*x
Since you are looking for any example, let's plug in a few numbers to the above equation.
Ex) x = 7, y = 2
The example equation with these values is 7(2 + 7)
Solving With Distributive Property:
x(y + x)
Substitute
7(2 + 7)
Simplify using distributive property
7(2) + 7(7)
14 + 49 = 63
Solving using PEMDAS and solving inside the parenthesis first
7(2 + 7)
7(9)
63
The above is an example of solving/siplifying equations with and without the Distributive Property.
Since these numbers are the same, we can conclude that the formula for the distributive property above is correct.
Again, you are looking for an example, so simply pick a value for x and y and substute into this equation: x(y + x) = x*y + x*x
I used 7 and 2 above, but any numbers will work as you are distributing the value outside the parenthesis.
Hope this helps! Let me know if you have any questions.
PEMDAS simpliy means that the solving of equations can be solved by going in the following order:
- Parenthesis (P)
- Exponents (E)
- Multiplication and Division left to right of the expression/equation (M/D)
- Addition and Subtraction (A/S)
This is just a helpful little refrence when applying the order of operations.
One-fourth of the residents of the Burning Ridge Estates leave their garage doors open when they are away from home. The local chief of police estimates that 5 % of the garages with open doors will have something stolen, but only 1 percent of those closed will have something stolen. If the garage is robbed, what is the probability the doors ware left open
Answer:
If the garage is robbed, the probability the doors ware left open is 0.625.
Step-by-step explanation:
Denote the events as follows:
X = garage doors open
Y = something is stolen
The information provided is:
P (X) = 0.25
P (Y|X) = 0.05
P (Y|X') = 0.01
Compute probability that the garage is robbed as follows:
[tex]P(Y)=P(Y|X)P(X)+P(Y|X')P(X')\\\\=(0.05\times 0.25)+(0.01\times (1-0.25))\\\\=0.0125+0.0075\\\\=0.02[/tex]
Compute the probability the doors ware left open given that the garage is robbed as follows:
[tex]P(X|Y)=\frac{P(Y|X)P(X)}{P(Y)}\\\\=\frac{0.05\times 0.25}{0.02}\\\\=0.625[/tex]
Thus, if the garage is robbed, the probability the doors ware left open is 0.625.
pls hurry ill make brainliest!
The tape diagram represents an equation.
20
9
9
Write an equation to represent the tape diagram.
Choose 1 answer:
А
20 = 9:2
B
20 = 2g
Find the value of g that makes the equation true.
9
Answer:
B.
g= 10
Step-by-step explanation:
{1.2.3.4.5} set builder
Step-by-step explanation:
A set-builder notation describes or defines the elements of a set instead of listing the elements. For example, the set { 1, 2, 3, 4, 5, 6, 7, 8, 9 } list the elements. The same set could be described as { x/x is a counting number less than 10 } in set-builder notation.
I REALLY NEED HELP WITH THESE PROBLEMS I WILL AWARD BRAINLIEST
..................................................................................................................................................................................................................................................................................................................................................................
X 0 1 2 3 4 5 P(X) 0.10 0.20 0.45 0.15 0.05 0.05 Using the above information, the standard deviation of the number of accidents is A. 1.18 B. 1.4 C. 1.81 D. 1.96
Answer:
1.18
Step-by-step explanation:
Given the data:
X 0 1 2 3 4 5
P(X) 0.10 0.20 0.45 0.15 0.05 0.05
E(x) = (0*0.1) + (1*0.2) + (2*0.45) + (3*0.15) + (4*0.05) + (5*0.05) = 2
Var(x) = [((0^2)*0.1)+((1^2)*0.2)+((2^2)*0.45)+((3^2)*0.15)+((4^2)*0.05)+((5^2)*0.05)] - 2²
5.4 - 4
= 1.4
Standard deviation = √var(x)
Standard deviation = √1.4
Standard deviation = 1.183
Standard deviation = 1.18
Answer:
hope this helps.enjoy
Solve this equation.
[tex]\frac{x + 4}{6x} = \frac{1}{x}[/tex]
A. x = -2
B. x = 0, -2
C. x = 2
D. x = 0, 2
Solve for x: 5x + 15 = 28
Answer:
[tex]x=\frac{13}{5}[/tex]
Step-by-step explanation:
In order to get the answer to this question you need to subtract and divide on both sides.
[tex]5x + 15 = 28[/tex]
Minus 15 on both sides:
[tex]28-15=13[/tex]
[tex]5x=13[/tex]
Divide 5 on both sides:
[tex]13\div5=\frac{13}{5}[/tex]
[tex]x=\frac{13}{5}[/tex]
Hope this helps.
When twice a number is decreased by 4, the result is 236. What
is the number?
2. Sara decided to look at new and used vans. Sara found a used van for $3000. A new van is $1500, so what percent of the price of a new van does Sara pay for a used van? Round your answer to the nearest whole number if necessary.
help me please
Answer:
50%
Step-by-step explanation:
Half of 3,000 is 1,500 so she would be paying half, or 50%
In need of help for geometry
Please answer this correctly without making mistakes
Answer:
First figure out how many cups are in a gallon. 16 .
Next multiply 16×3= 48
Finally you divide price per cup or 20.16/ 48.
The cost is .42 cents per cup.
A recipe says, "3 parts water to 1 part milk." How much water will you need if you use 2 liters of milk?
Answer:
6 liters
Step-by-step explanation:
2 liters of milk will need 6 liters of water.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that a recipe says - "3 parts water to 1 part milk".
Now, we can write that -
3 parts water needs 1 part milk
This means, 1 litre milk needs 3 liters of water.
Then, 2 liters of milk will need (2 x 3) = 6 liters of water.
Therefore, 2 liters of milk will need 6 liters of water.
To solve more questions on algebraic expressions, visit the link below -
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I got this wrong as well. Can someone explain to me this?
Answer:
-1.5 and 1.5
I don't have those sings but -1.5 goes on the first box and 1.5 goes on the second one
Ariel and her friends purchased some drinks and pizza slices at the snack bar. Each drink cost $2, and each pizza slice was $4. They purchased 9 items and spent a total of $28. Write a system of equations to represent this situation, using d to represent the number of drinks, and p to represent the number of pizza slices
Answer:
[tex]\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}[/tex]
Step-by-step explanation:
We are letting d represent the number of drinks and p represent the number of pizza slices.
We know that each drink d costs $2. We also know that each pizza slice p costs $4. They spent a total of $28. Therefore:
[tex]2d+4p=28[/tex]
We also know that 9 items was purchased all together. So, the total number of drinks d and pizza slices p sum to 9:
[tex]d+p=9[/tex]
Therefore, our system of equations is:
[tex]\left\{ \begin{array}{ll} 2d+4p=28 \\ d+p=9 \end{array}[/tex]which value represents solutions to cos(π/4-x) = √2/2sinx, where x [0, 2π)
The solution of the trigonometric equation are, [tex]x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
Trigonometric equation:
Given equation are,
[tex]cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx[/tex]
We know that, [tex]cos(A-B)=cosA cosB+sinAsinB[/tex]
[tex]cos(\frac{\pi}{4} -x)=\frac{\sqrt{2} }{2}sinx\\\\cos\frac{\pi}{4} *cosx+sin\frac{\pi}{4} *sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx+\frac{\sqrt{2} }{2}sinx=\frac{\sqrt{2} }{2}sinx\\\\\frac{\sqrt{2} }{2}cosx=0\\\\cosx=0\\\\x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
Hence, The solution of the trigonometric equation are, [tex]x=\frac{\pi}{2},\frac{3\pi}{2}[/tex]
Learn more about the trigonometric equation here :
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The temperature drops from 7°F to -17°F. By how much did the temperature decrease?
Answer:
24 degrees
Step-by-step explanation:
If you use 0 as kind of a benchmark it is really useful, frist you subtract 7, because it is our positive number., then you subtract 17 from 0, making -17.
7+17=24
ne serving of ice cream has 140 calories and a mass of 60 grams.
How many calories are in 15 grams of ice cream?
Answer:
35 Calories
Step-by-step explanation:
15 is 1/4 of 60
60/15 = 4
140/4 = 35
Since 15 is 1/4 the size of 60, the number of calories will be 1/4 the amount as well. That is why you divide 140 by 4 to find the total calories for the mass of 15.
what is a square of 1.5cm
Answer:
a square with 1.5 cm width and height
Answer:
2.25
Step-by-step explanation:
1.5 * 1.5 = 2.25.
f(x) = x g(x) = 1
What is the domain of (
g
f
) (x)?
Answer:
[tex]x\neq 0[/tex]
Step-by-step explanation: the domain[tex]0[/tex]⇒[tex]x{}[/tex]∈[tex]R[/tex]-{0}
what is the decimal expansion for 7 over 9
Answer:
0.77777777......
Step-by-step explanation:
You divide them. Hope I helped!
Please mark Brainliest!!!!
What is 20 divided by 740 with remainder
Answer:
37 R0
Step-by-step explanation:
740/20=37, so there is no remainder.
I hope this helps you! Have a great day c:
Dividing 20 by 740 gives us remainder 20 and quotient 0.
To find the result of 20 divided by 740 with a remainder,
Perform the division and take note of the quotient and remainder.
20 ÷ 740 = 0 with a remainder of 20.
Division is a mathematical operation that involves splitting a number (the dividend) into equal parts,
with a divisor indicating how many parts we want to split it into.
The quotient is the number of equal parts, and the remainder is what's left after have split the dividend into as many equal parts as possible.
20 divided by 740, we are trying to find out how many times 740 can fit into 20.
Since 740 is much larger than 20, it cannot fit even once.
So, the quotient is 0, indicating that 0 whole units of 740 can fit into 20.
However, there is a remainder of 20.
The remainder represents the portion of 20 that cannot be evenly divided by 740.
It is what remains after we have divided the dividend by the divisor as many times as possible.
Therefore, 20 divided by 740 is 0 with a remainder of 20.
learn more about remainder here
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If three fifths of the 45 students in the math class do not like working with
fractions, how many of the students like working with fractions?
Answer:
18
Step-by-step explanation:
Two fifths like working with fractions.
2/5x45/1=90/5
Hope I helped!
What is your average speed in miles per hour and in feet per second if you travel a mile in 18 minutes?
Answer:
3.3 mph
4.84 ft/s
Step-by-step explanation:
Convert 1 mile into feet and 18 minutes into seconds. You should get 4.84 then convert 4.84 ft/s into mph.
if l || m,find the value of x, (8x + 20) (11x-31)
Answer:
x=17
Step-by-step explanation:
8x+20=11x-31
We simplify the equation to the form, which is simple to understand
8x+20=11x-31
We move all terms containing x to the left and all other terms to the right.
+8x-11x=-31-20
We simplify left and right side of the equation.
-3x=-51
We divide both sides of the equation by -3 to get x.
x=17
Answer:
17
Step-by-step explanation:
8x + 20 = 11x - 31
-8. -8
20 = 3× - 31
+31. +31
51 = 3x
/3. /3
x = 17
A random survey of 30 students found that 17 played a musical instrument. If the school has 450 students, predict how many do not play an instrument.
Given:
A random survey of 30 students found that 17 played a musical instrument.
Total number of students = 450
To find:
Estimated number of students who do not play an instruments.
Solution:
A random survey of 30 students found that 17 played a musical instrument.
Let E be the event that student play an instrument.
So, probability that a student plays an instrument is
[tex]P(E)=\dfrac{17}{30}[/tex]
Probability that a student do not play an instrument is
[tex]P(E')=1-P(E)[/tex]
[tex]=1-\dfrac{17}{30}[/tex]
[tex]=\dfrac{13}{30}[/tex]
Now, number of students who do not play an instruments is
[tex]450\times P(E')=450\times \dfrac{13}{30}[/tex]
[tex]450\times P(E')=195[/tex]
Therefore, 195 students do not play an instrument.
How many solution does the following equation have -5 + 7x = 7x + 5
Answer:
No solution
Step-by-step explanation:
Because when you add 5 on both sides to take away the negative 5 it does not show a true statement. Since:
7x does not equal 7x + 10
A company had 260 workers. After a few of them were laid off by the company, there were 247 workers in total. What was the percentage decrease in the number of workers in the company?
Answer:
0.95% decrease
Step-by-step explanation:
247/260 to get your answer
You start an account with $2,500 and an annual interest rate of 6.5% compounded yearly. How much is in the account after 7 years?
I need an expression and a solution
I'm pretty sure it's this:
Answer:
y=a( 1+ r/n)^ nt
growth is a= 2500 yearly is n= 1
y= 2500( 1+ .065/1)^ 1.7 = $3884.97
