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.
wilt weighs 1 1/2 times as much as Anita. together they weigh 250 lb. find anita's weight. choices for Anita's weight: 90, 100, 105, 150
Anita would weigh 100 lbs
A student wants to use the property
(
x
−
y
)
(
x
+
y
)
=
(
x
2
−
y
2
)
to find the product
(
26
)
(
34
)
.
Which statement is true?
The property is an illustration of difference of two squares
The true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
The property is given as:
[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]
The product is given as:
[tex]\mathbf{(26)(34)}[/tex]
Let x - y = 26, and x + y = 34.
So, we have:
[tex]\mathbf{x - y = 26}[/tex]
[tex]\mathbf{x + y = 34}[/tex]
Make x the subject in [tex]\mathbf{x - y = 26}[/tex]
[tex]\mathbf{x = 26 +y}[/tex]
Substitute 26 + y for x in [tex]\mathbf{x + y = 34}[/tex]
[tex]\mathbf{26 + y+ y = 34}[/tex]
[tex]\mathbf{26 + 2y = 34}[/tex]
Subtract 26 from both sides
[tex]\mathbf{2y = 34 -26}[/tex]
[tex]\mathbf{2y = 8}[/tex]
Divide both sides by 2
[tex]\mathbf{y = 4}[/tex]
Substitute 4 for y in [tex]\mathbf{x = 26 +y}[/tex]
[tex]\mathbf{x = 26 + 4}[/tex]
[tex]\mathbf{x = 30}[/tex]
So, we have:
[tex]\mathbf{(x - y)(x + y) = x^2 - y^2}[/tex]
[tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
Hence, the true statement is [tex]\mathbf{(30 - 4)(30 + 4) = 30^2 -4^2}[/tex]
Read more about difference of two squares at:
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A certain model of remote-control Stanley garage door opener has nine binary (off/on) switches. The homeowner can set any code sequence. (a) How many separate codes can be programmed
Answer:
[tex]Codes= 512[/tex]
Step-by-step explanation:
Given
[tex]Switches = 9[/tex]
[tex]Controls = 2[/tex] ------- on or off
Required
Determine the number of codes to be programmed
Since each switch has any of the on or off controls (i.e on or off), then:
The first switch can be coded in any of the 2 controls
The second switch can be coded in any of the 2 controls
The third switch can be coded in any of the 2 controls
Up till the ninth switch
So, we have that:
[tex]Codes= 2 * 2 *2*2*2* 2 *2*2*2[/tex]
[tex]Codes = 2^9[/tex]
[tex]Codes= 512[/tex]
Hence, there are 512 possible codes
Is the following relation a function?
Yes
or
No
Answer:
no
Step-by-step explanation:
Answer:
I think that it is yes but not sure
i got so much cash nothing to do with it
Answer:
buy something you'll use so often
Step-by-step explanation:
or save it for a trip to go to
Some parts of California are particularl earthquake prone. Suppose in one metropolitan area, 40% of all homeowners are insured against earthquake damage. Four homeowners are selected at random. Let X denote the number among the four who have earthquake insurance. Assume that the event of each homeowner having or not having insurance is independent.
Required:
a. Find the probability mass function of X?
b. What is the most likely value for X?
c. What is the probability that at least two of the four selected have earthquake insurance?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Percentage of insured home owners = 40% p = 0.4
Selecting 4 home owners (x) ;
x = 0, 1, 2, 3, 4
Using bernoulli;
nCx * p^x * (1 - p)^(n-x)
For X = 0
4C0 * 0.4^0 * 0.6^(4-0) = 0.1296
X = 1
4C1 * 0.4^1 * 0.6^(4-1) = 0.3456
X = 2
4C2 * 0.4^2 * 0.6^(4-2) = 0.3456
X = 3
4C3 * 0.4^3 * 0.6^(4-3) = 0.1536
X = 4
4C4 * 0.4^4 * 0.6^(4-4) = 0.0256
B.) The most likely value for X are 1 and 2 with probabilities of 0.3456 respectively.
C.) probability that atleast 2 of the 4 selected have earthquake insurance ;
P(X ≥ 2) = p(2) + p(3) + p(4)
P(X ≥ 2) = 0.3456 + 0.1536 + 0.0256
P(X ≥ 2) = 0.5248
Answer:
hope this photo helps. 1
Can you use the properties of exponents you discovered to simplify 5^2 · 2^5 ?
5² × 2⁵ = 25 × 32 =. 800
Hope this helps
Why are arithmetic sequences discrete data?
Answer:
If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
Step-by-step explanation:
Answer:
A sequence is a discrete structure used to represent an ordered list.
Step-by-step explanation:
Discrete values are values between the terms if the sequences are not included in the sequence. If you collect all the terms of the sequence into a set, that set will always be discrete, because there's only countably many of them, and every interval is uncountable. So in that sense, yes, sequences are discrete. A sequence is a discrete structure used to represent an ordered list. A sequence is a function from a subset of the set of integers (usually either the set {0,1,2,. . .} or {1,2, 3,. . .}to a set S. We use the notation an to denote the image of the integer n. We call an a term of the sequence.
Jamie ordered 200 business cards and paid $23. She ordered 500 business cards and few months later and paid $35. WRITE and SOLVE a linear equation to find the cost to order 700 business cards.
|2x + 7| >7
what are the boundary points?
Answer:
the answer is [tex]\begin{bmatrix}\mathrm{Solution:}\:&\:x<-7\quad \mathrm{or}\quad \:x>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-7\right)\cup \left(0,\:\infty \:\right)\end{bmatrix}[/tex]
Step-by-step explanation:
i hope this helps :)
Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations (I use it all the time).
Answer:
absolute value
Step-by-step explanation:
If your talking about the two lines by the 7 and the 2.
there used to find the absolute value of a number.
lets say you have this |-2| your answer would be 2.
|1| =1
-|1|= -1
I hope you get the point
the question would be 2x=7>7 its that easy
simplify 5.42 - 4.987
Answer:
0.433
Step-by-step explanation:
5.42 - 4.987
Subtract each column of digits starting from right to left.
5.420
- 4.987
If the digit being subtracted is larger than the digit above it then borrow a digit from the next left column.
5.420
- 4.987
Borrow 1 from 5:
4.(10+4)20
- 4.987
4.(14)20
- 4.987
Borrow 1 from 14:
4.(13)(10+2)0
- 4.987
4.(13)(12)0
- 4.987
Borrow 1 from 12:
4.(13)(11)(10+0)
- 4.987
4.(13)(11)(10)
- 4.987
Subtract the second digit from the first:
(10 - 7 = 3):
4.(13)(11)(10)
- 4.987
= 3
(11 - 8 = 3):
4.(13)(11)
- 4.987
= 33
(13 - 9 = 4):
4.(13)
- 4.987
= 433
4.(13)
- 4.987
= .433
(4 - 4 = 0):
4.(13)
- 4.987
= 0.433
Which statement is true about the equation shown below?
10 – 2 (4x – 3) = 2x + 7 – 10x
A.The only solution to the equation is x=9/16
B.The only solution to the
equation is x=9/20
C.The equation has infinite
solutions.
D.The equation has no solution.
Answer: C.The equation has infinite
solutions.
Solve for y: (1/2)y + 1/2 =
3 1/2
Answer:
Step-by-step explanation:
1/2y + 1/2 = 3 1/2
- 1/2 -1/2 subtract 1/2 on both sides to isolate 1/2y
1/2y = 3 divide both sides by 1/2 to get y value
y = 6
Find the amount to be paid at the end of eight years that is equivalent to a payment of $400 now and a payment of $300 at the end of four years
(a) if 6% simple interest is earned from the date each payment is made and use a comparison date of right now.
(b) if 6% simple interest is earned from the date each payment is made and use a comparison date of eight years from now.
(c) Explain why the fact you get different answers in parts (a) and (b) does not contradict the fact that equations of value at different times are equiv- alent equations.
(d) Repeat parts (a) and (b) except replace "simple interest" with "compound interest."
Answer:
A) $964
B) $651.35
C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time
D) $1016.28 , $637.63
Step-by-step explanation:
lets assume the amount to be paid in eight years that is equivalent to payment of $400 now and a payment of $300 at the end of four ( 4 ) years ( FV )
a) since a 6% interest is earned each day of every payment
will use this formula : S = P( 1 + rt )
therefore $400 paid today will a simple interest of = 400 * 0.06 * 8 = $192
$300 paid at the end of four years will earn a simple interest of = 300*0.06*4 = $72
hence FV = $ ( 400 + 192 ) + $ ( 300 + 72 ) = $964
b) when compared with eight years from now
PV = [tex]\frac{FV}{1+rt}[/tex] = ($964) / ( 1 + (0.06*8) = $651.35
C) The difference in value for part a and part b is due to time factor and the accumulated interest hence it is better to pay $651.35 right now than to pay $964 when you pay $400 now and $300 in four years time
D) Repeating parts (a) and (b) using compound interest
using the formula : S = P( 1 + r )^t
therefore $400 paid today will have a compound interest of
= 400 ( 1.06)^8 = $637.54
$300 paid at the end of four years will earn a compound interest of
= 300 ( 1.06 ) ^4 = $378.74
hence FV = 637.54 + 378.74 = $1016.28
when compared with eight years from now
= [tex]\frac{FV}{(1+r)^t}[/tex] = ( 1016.28 ) / ( 1.06 ) ^8 = $637.63
find percent increase
from 24 teachers to 30 teachers ___
I need help on this,can anyone help me?
Answer:
no nobody can help you
Step-by-step explanation:
Many adults owe money from their college loans for years into their professional careers. A newspaper would like to estimate the proportion of all adults in the city who have debts from college loans. To collect data, a random sample of 300 young adults between the ages of 25 and 35 is asked, "Do you have more than $5,000 in current college debts?” 68% of those sampled reported that they do have more than $5,000 in college-related debts. How might this sample be biased in obtaining an estimate of all adults in the city who have college debts? Because young adults were randomly selected, this sample should provide an unbiased estimate of the proportion of adults with college debts. Because only young adults were sampled, undercoverage bias may cause the newspaper to overestimate the proportion of all adults who have college debts. Because some young adults may not honestly report their debts, response bias may cause the newspaper to underestimate the proportion of adults with college debts. Because adults with college debts may be less likely to respond, voluntary response bias may cause the newspaper to underestimate the proportion of adults who have college debts.
Answer: B: because young adults were sampled, undercoverage bias may cause the newspaper to overestimate the proportion of all adults who have college debts
Step-by-step explanation: the question is asking how the sample could be biased and obtaining an estimate of all ADULTS in the city. Young adults aren't the only adults. Adults can be older than 35 too so it's not a good representation of every adult in the city
Answer:
B- Because only young adults were sampled, undercoverage bias may cause the newspaper to overestimate the proportion of all adults who have college debts.
Step-by-step explanation:
Got it right
edgen 2022
write the slope-intercept form of the equation of each line. (DONT do number 26 )
Answer:
25) -4, -1
Equation: -4x-1
27) 4, 4
Equation: 4x+4
29) 5/2,0
Equation: 5/2x
Step-by-step explanation:
Y=mx+b
What's the answer to this on Zearn??
Answer:
The answer is
4/12 - 3/12
Step-by-step explanation:
Answer:
4/12 - 3/12
Step-by-step explanation:
Multiply: 1/ 3 × 2 /5 To find the product, the numerators and the denominators. The product is . Divide: 2/ 5 ÷ 3/ 5 To divide, multiply by the . The quotient is .
Multiply: 1
3
× 2
5
To find the product,
✔ multiply
the numerators and
✔ multiply
the denominators.
The product is
✔ 2/15
.
Divide: 2
5
÷ 3
5
To divide, multiply by the
✔ reciprocal
.
The quotient is
✔ 2/3
.
Edg 2020 :)))))))
The multiplication result to 2/15 and division result to 2/3.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
1/ 3 × 2 /5
Now, to multiply we have multiply numerator and denominator.
1/ 3 × 2 /5
=(1 x 2)/ ( 3 x 5)
= 2 /15
Now, 2/ 5 ÷ 3/ 5
We have to divide the fraction.
Fraction does not support division.
So,2/ 5 ÷ 3/ 5
= 2/5 x 5/3
= 2/3.
Learn more about fraction here:
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I know m<1 is 55 but I don’t know 2 &3. Please help.
Subject: writing equations
Fake answers-reported cuz I’m rly tryna pass this shi.
Answer:
1) Y-6=-3/2(X-0) 2) Y= -3/2x+6 3) 3x+2y=12
Step-by-step explanation:
A cone has a height of 5 inches and a radius of 4 inches. What is its volume?
Use a ~ 3.14 and round your answer to the nearest hundredth.
9514 1400 393
Answer:
83.73 in³
Step-by-step explanation:
It is appropriate to use the formula for the volume of a cone:
V = (1/3)πr²h
V = (1/3)(3.14)(4 in)²(5 in) ≈ 83.73 in³
The volume of the cone is about 83.73 in³.
Find the inverse of the function.
Answer:
A) [tex]f^{-1}(n)= (n+2)^3[/tex]
Step-by-step explanation:
[tex]f(n) = \sqrt[3]{n} -2[/tex]
[tex]y = \sqrt[3]{n} -2[/tex]
[tex]y = n^{1/3}-2[/tex]
[tex]n = y^{1/3} -2[/tex]
[tex]n + 2 = y^{1/3}[/tex]
[tex]y = (n + 2) ^3[/tex]
[tex]f^{-1}(n) = (n + 2)^3[/tex]
Hope this helps!
Answer:
Option A
Step-by-step explanation:
f(n) =∛n-2
y= ∛n-2
Interchange y and n
n =∛y-2
Subtract -2 on both sides
n+2 = ∛y
both both sides to the 3rd power:
(n+2) to the 3rd power = y
Inverse :
f-1(n) = (n+2) to the 3rd power (option A)
64 divided by 12 4/5
Answer:
..............5
Step-by-step explanation:
64 ÷12 4/5
you should solve the answer for z not m pls
Step-by-step explanation:
we can factor out z
so that'll be
z((1/m)-(1/n))=1
divide by the value in parentheses on both sides
z=1/((1/m)-(1/n))
I can't tell if there's more the problem wants you to do. I could rewrite the equation on paper more easily, but I don't have one on hand
Answer: The answer is z=1/((1/m)-(1/n). Abhlnav, I'm sorry about not finding the answer to solve for z, and that’s the reason why you told me to solve for z not m to your algebraic expression to find the answer. Are you very good at mathematics, Abhlnav?
Step-by-step explanation:
Show your work please
will give brainliest...
The square of a certain positive number is equal to 2 more than seven-thirds of that number. What is the number?
6
4
3
Answer:
3
Step-by-step explanation:
x^2=7/3x+2
3^2=7/3(3)+2
9=7+2
9=9
You walk 2/5 miles to a clothing store. Then you walk another 1/2 miles to a music store. How many miles have you walked in all?
Answer:
9/10ths of a mile. Or 0.9 miles.
Step-by-step explanation:
To get the total it's helpful to look at it in decimals:
2/5 mile = 0.4 miles (1 mile divided by 5 = 0.2 miles, times that by 2)
1/2 mile = 0.5 miles
Add them together = 0.9 miles.
Which is 9/10ths of a mile.
The total distance walked will be equal to [tex]\frac{9}{10}[/tex] miles or 0.9 miles.
It is given that you walk 2/5 miles to a clothing store and then walk another 1/2 miles to a music store.
We have to find out the total distance in miles that you have walked.
What do you mean by fractions ?
A fraction can be defined as a portion or part of any quantity or it defines a part of a whole.
As per the question ;
You walk 2/5 miles to a clothing store
and
then ; walk another 1/2 miles to a music store.
To find out the total distance walked by you in total , we need to add both the distances given in the question.
i.e.,
Total distance will be ;
= [tex]\frac{2}{5}[/tex] + [tex]\frac{1}{2}[/tex]
= [tex]\frac{4+5}{10}[/tex]
= [tex]\frac{9}{10}[/tex] miles
or
= 0.9 miles
Thus , the total distance walked will be equal to [tex]\frac{9}{10}[/tex] miles or 0.9 miles.
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An envelope is 48 centimeters wide, and it measures 52 centimeters along the diagonal. How tall is the envelope?
Answer:
20 cm.
Step-by-step explanation:
Pythagorean Theorem a^2 + b^2 = c^2 (c is the hypotenuse).
Plug it in.
48^2 + b^2 = 52^2
2,304 + b^2 = 2,704
Isolate the variable.
b^2 = 400
b = 20