Given :
P( X = 70 ) = 0.62 .
P( X = 80 ) = 0.23 .
To Find :
We need to find If a person reaches their 70th birthday, what is the probability that they will live to age 80 .
Solution :
We need to find :
[tex]P(X=70 | X=80 )[/tex]
We know ,
[tex]P(x,y ) = \dfrac{P(x)}{P(y)}[/tex]
So ,
[tex]P(X=70 | X=80 )=\dfrac{P(X=80)}{P(X=70)}\\\\=\dfrac{0.62}{0.23}=0.371[/tex]
Hence , this is the required solution .
Which is bigger 6.8" or 6.52"
Answer:
6.8 is bigger than 6.52
Use the points H(-4,3) and K (4,3)
Find an equation for the line with the given properties. Express the equation in slope-intercept form.
Slope = 3; containing the point (5,-4)
What is the equation of the line?
y =
Answer:
y = 3x - 19
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Define variables
Slope m = 3
Random point (5, -4)
Step 2: Plug in known variables
y = 3x + b
Step 3: Find b
-4 = 3(5) + b
-4 = 15 + b
b = -19
Step 4: Write linear equation
y = 3x - 19
6.4n-1.2+3n+8.2=19.22
What number would make the statement true
Answer:
Step-by-step explanation:
6.4n - 1.2 + 3n + 8.2 = 19.22
So we can separate the variable side on the left, and the whole numbers on the right.
6.4n + 3n = 19.22 - 8.2 + 1.2
which gives us,
9.4n = 12.22
n = 1.3
Which of the following is equivalent to 15.45 + ( − 98.25 ) 15.45+(-98.25)
Answer:
-82.8
Step-by-step explanation:
15.45 + ( − 98.25)
15.45 - 98.25
= -82.8
Since the two terms are of opposite signs, you have to subtract and use the sign of the greater term (positive or negative)
Solve
- 2 + 3x + 24 = x
Answer:
x=-1
Step-by-step explanation:
thank me later it correct did the workhope this works
Solve the equation 1/4(x+2)+5=-x
Answer: Exact Form:
x=−225
Decimal Form:
x=−4.4
Mixed Number Form:
x=−4/25
Step-by-step explanation:
Is 3.14596387 a rational number?
Brianna is playing darts. So far, she has hit the bullseye 6 times and missed the bullseye 27
times. Considering this data, how many bullseyes would you expect Brianna to get during her
next 88 tosses?
Item 3 A snail travels 3/8 feet in 1/2 hour. How many feet does the snail travel in one hour? Express your answer in simplest form. 3/16ft 1/4ft 1/8ft 3/4ft
Courtney and Malik are buying a rug to fit in a
50-square-foot space, which rug should they
purchase? Explain.
$99 Rug Sa
please help me solve this math problem, tryna graduate here
Answer:
141°
Step-by-step explanation:
Barbara has 9 stuffed animals. Trish has 3 times as many stuffed animals as Barbara. How many stuffed animals does Trish have?
Answer:
27
Step-by-step explanation:
9 + 9 + 9 = 27
I hope this helps :)
Answer:
trish has 27 because 9 times 3=27 love yall
Step-by-step explanation:
An air conditioning system can circulate 400 cubic feet of air per minute. How many cubic yards of air can it circulate per minute?
Answer:
14.814 i belive
Set V is all the unique three-digit numbers using the digits 1, 2, 3, 4, and 5. Which set would be considered a subset of set V? Set W is all the unique three-digit numbers using the digits 1, 3, and 5. Set X is all the unique three-digit numbers using the digits 2, 4, and 6. Set Y is all the unique three-digit numbers using the digits 0, 2, and 4. Set Z is all the unique three-digit numbers using the digits 3, 5, and 7.
Answer: Choice A) Set W is all the unique three-digit numbers using the digits 1, 3, and 5
==========================================================
Explanation:
The original set uses the digits {1,2,3,4,5}. We can only use those digits. Nothing else. So that means we can't use 0, 2, 4, 6, or 7. This rules out choices B through D.
Only choice A is left. This answer choice involves 1,3 and 5 which is the correct subset of digits to use.
--------
Put another way, if set B was a subset of set A, then everything in B must also be found in A. Having B = {2,4,6} and A = {1,2,3,4,5} shows B is not a subset of A. We see a counter example has 6 in B, but not in set A.
This allows us to rule out choice B. Similar ideas apply to the answer choices C and D as well.
Answer:
A
Step-by-step explanation:
ed2020
A cupcake shop earns $950 a day. The total amount of earning varies directly with the number of days. Find the total earnings the cupcake shop earns in 5 days.
The correct answer is $4750
Explanation:
If the money earned varies directly with the number of days, this means one factor makes increase the other. In other others, the more days, the higher the earnings. Moreover, the total earnings can be calculated by multiplying the amount earned in one day ($950) by the total days (5). The process is shown below.
Total earnings = Amount earned by day x days
Total earnings= 950 ×5
Total earnings= $4750
Rural and urban students are equally
likely to get admission in a college. If 100
students get admission, then the probability
that more rural students get admission than
urban students is
Answer:
The answer is below
Step-by-step explanation:
Using binomial probability:
p = probability of a rural student getting admission = 1/2
q = probability of a rural student not getting admission = 1/2
n = number of students = 100
P(x) = [tex]C(n,x) p^xq^{(n-x)[/tex]
But [tex]p^xq^{n-x}=\frac{1}{2}^x\frac{1}{2}^{n-x}=\frac{1}{2}^{n}[/tex]
P(x > 50) = P(x = 51) + P(x = 52) + P(x = 53) + . . . + P(x = 100)
P(x > 50) = [tex]\frac{1}{2} ^{100}[C(100,51)+C(100,52)+C(100,53)+\ .\ .\ .+C(100,100)]\\[/tex]
[tex]P(x>50)=\frac{1}{2}^{100} (\frac{1}{2}( 2^{100}-C(100,50)))\\\\P(x>50)=(\frac{1}{2}^{100} *\frac{1}{2}*2^{100})- (\frac{1}{2}^{100} *\frac{1}{2}*C(100,50))\\\\P(x>50)=\frac{1}{2}[(2^{-100}*2^{100})-(\frac{1}{2}^{100} *C(100,50))]\\ \\P(x>50)=\frac{1}{2}[1-\frac{1}{2}^{100} *C(100,50)][/tex]
2x = 8
X - 3 = 5
5x + 2 = 12
7x + 4 = 25
3x + 1 = 5x – 13
3 (2x + 1) = 2x + 11
3 (2x - 6) = 2 (2x- 1)
2 (x + 3) - 3(2x - 5) =x
Step-by-step explanation:
2x=8
x=8÷2
x=4
x=5+3
×=8
What is the solution of the equation 16-17+ Vb=1?
b = 3
O b = 9
O b = 81
no solution
Point N is on line segment M O ‾ MO . Given M O = 12 MO=12 and M N = 5 , MN=5, determine the length N O ‾ . NO .
Answer: NO = 7
Step-by-step explanation:
If the total length of MO is 12, and one segment, MN, is 5, the other segment, NO, must have a length so that they add up to 12.
MN + NO = MO
5 + 7 = 12
M_____ N+ N_______O= M____________O
Help please this is math
***ECONOMINCS*** Which statement best summarizes the role of households in the flow of
goods?
A. Households sell products created in product markets.
B. Households provide natural resources to businesses.
C. Households trade goods between product and resource markets.
D.Households act as consumers for goods made by businesses.
The final customers of a companies' products and services are the households. They generate demand in the market dependent on their preferences, and further discussion can be defined as follows:
As per the market demand, the businesses manufactured and provided items in the market and the nation's production line is determined by its families.Households consume the commodities supplied by the companies in a circular flow diagram.It could contribute land for the production of goods, or it may offer itself as the source of employment.It also provides capital, which would be a monetary type of investment that enables businesses to generate consumer products.Therefore, the final answer is "Choice D"
Learn more:
brainly.com/question/22097439
Answer:
D.Households act as consumers for goods made by businesses.
Step-by-step explanation:
What part of 15 is 10?
Answer:
2/3
Step-by-step explanation:
10/15=2/3
The 10 is 2/3 part of 15 by dividing common factor that is 5.
What is simplest form ?
In mathematics, the simplest form is the fraction that has the smallest equivalent value.
Here, the given fraction is :
10/15 which when converting to smallest equivalent value by dividing common factor that is 5 :
10/15 = 2/3
Therefore, the 10 is 2/3 part of 15.
Learn more about fractions on:
brainly.com/question/78672
#SPJ2
Marcus collected 5 fewer rocks than esha How many rocks did Marcus collect if esha collected 22 rocks?
Answer:
17
Step-by-step explanation:
Answer:
22-5=17 the answer is 17
I NEED HELP ANSWER ASAP. I NEED SOMEONE WHO CAN I HELP ME WITH MY OTHER QUESTIONS
Answer:
3,0
Step-by-step explanation:
hopefully this helps you
pls mark brainlest if it is correct
I need help with part 2 please
Answer:
$65
Step-by-step explanation:
So we already determined that the total cost C to drive m miles is:
[tex]C=0.25m+40[/tex]
And we want to find the total cost of driving 100 miles.
So, substitute 100 for m and solve for C:
[tex]C=0.25(100)+40[/tex]
Multiply:
[tex]C=25+40[/tex]
Add:
[tex]C=\$ 65[/tex]
Therefore, it will cost $65 to drive 100 miles.
Solve and graph -4<-1-4x<-1
Answer:
x<3/4 and x>0
for graphs, refer to the images attached.
Step-by-step explanation:
-1-4x > -4 AND -1-4x <-1
-1-4x >-4-4x > -3x < 3/4-1-4x<-1-4x<0x>03s – 12 = -21
Solve for s
Answer:
S= -3
Step-by-step explanation:
3s-12=-21
3s= -21+12
3s= -9
s= -9/3
s= -3
Answer:
s = -3
Step-by-step explanation:
[tex]3s - 12 = - 21[/tex]
Collect like terms
[tex]3s = - 21 + 12[/tex]
Add the numbers :
[tex] - 21 + 12 = - 9 \\ \\ 3s = - 9[/tex]
Divide both sides of the equation by 3
[tex] \frac{3s}{3} = \frac{ - 9}{3} [/tex]
Simplify
[tex]s = - 3[/tex]
Which of the following trinomials could represent the product (x + m)(x + n) if m = 5 and n = -7? A x2 + 2x - 35 B x2 - 12x - 35 Cx2 + 35x + 2 D x2 - 2x - 35
Hey there! I'm happy to help!
Let's plug in these values.
(x+5)(x-7)
We use the FOIL method to multiply the two.
We multiply the Firsts.
x·x=x²
We multiply the Outsides.
-7·x=-7x
We multiply the Insides.
5·x=5x
And we multiply the Lasts.
-7·5=-35
We combine these all.
x²-7x+5x-35
x²-2x-35
Have a wonderful day! :D
what is -66 2/3 - 24 1/8 + -78 3/4
Answer:
-169.541667
Step-by-step explanation:
Answer:
Step-by-step explanation:
i belive your asnwer would be -257/24 but what are u trying to find?