Answer:
Step-by-step explanation:
Suppose F represents the value that a room is unlocked.
Then, we can assume that the probability of unlocked homes is:
P(unlocked homes) = P(U)
P(unlocked homes) = 40%
P(unlocked homes) = 0.40
Also, let us represent the value of the locked room with G.
P(locked homes) = P(G)
P(locked homes) = (1 - 0.40)
P(locked homes) = 0.60
Let the probability of selecting a correct key be P(S)
It implies that for the agent to use 3 keys, we have a combination of [tex]^8C_3[/tex] possible ways for the set of keys.
Now; since only one will open the house, then:
P(select correct key) = P(S)
[tex]P(S) = \dfrac{ (^1_1) (^7_2) }{ ^8_3 }[/tex]
[tex]P(S) = \dfrac{21}{56}[/tex]
P(S) = 0.375
Finally, for the real estate agent to have access to specific homes supposing the agent select three master keys at random prior to the time he left his office, Then:
P(F ∪ (G∩S) = P(F) + P(G∩S)
P(F ∪ (G∩S) = P(F) + P(G) × P(S)
P(F ∪ (G∩S) = 0.40 + (0.60×0.375)
P(F ∪ (G∩S) = 0.40 + 0.225
P(F ∪ (G∩S) =0.625
Two consecutive odd integers have a sum of 44. Find the integers.
Step-by-step explanation:
Answer
Let2odintegers
(2n+1),(2n+3)
→(2n+1)+(2n+3)=44
⇒4n+4=44
⇒4n=40
⇒n=10
then,integerare
2n+1=21
2n+3=23
Is (3, 7) a solution to the equation y = 2x – 4? yes or no Submit
Answer:
(3, 7) is not a solution.
Step-by-step explanation:
In this question, we have to find out if the point (3, 7) is a solution to the equation.
To find your answer, you would plug in the coordinate into the equation and solve.
Solve:
y = 2x - 4
Plug in coordinate.
7 = 2(3) - 4
7 = 6 - 4
7 ≠ 2
Since both sides are not equal to each other, this makes the statement false. Therefore, (3, 7) is not a solution.
Your answer would be (3, 7) is not a solution.
Diego and other farmers harvested tomatoes for barangay's gulayan day. they were able to fill 56.5 kaings each weighing 18.75 kilograms
1. About how many kilograms of tomatoes were harvested for the gulayan day?
2. if they would sell the tomatoes for 24.25 a kilo,
a. by how much would they get for one kaing?
b. by how much would they get for all the tomatoes?
3. A businessman bought all the tomatoes, but will was given 1.5 kilograms free for each kaing. About how much would he pay?
Number 1
56.5 kaings each weighing 18.75 kilograms
56.5 × 18.75 = 1059.375 kilograms
Answer : 1059.375 kilograms
Number 2 (A)
$24.25 a kilo and 18.75 kilograms for one kaings
18.75 × $24.25 = $454.6875
Answer : $454.69
Number 2 (B)
$24.25 a kilo and 1059.375 kilograms
1059.375 × $24.25 = 25 689.84
Answer : $25 689.84
Number 3
1.5 kilograms free for each kaing
18.75 - 1.5 = 17.25 kg
17.25 kg × 56.5 kaings × $18 247.21875
Answer : $18 247.22
Hi, I need help please!!!!!
Answer:
210 minutes
Step-by-step explanation:
First, we want to find out how many meters cubed of water there is, which is the volume.
The volume of this prism would be, the average of the two sides multiplied by 2 and 1.
1.5+0.6 = 2.1
2.1/2 = 1.05
1.05*2=2.1
2.1*1=2.1
2.1 meters is the volume but because it goes down by 30 cm, we have to convert 2.1 to cm.
2.1 * 100 = 210 cm.
Every 30 minutes, it goes down by 30 cm so:
210/30 = 7
210 minutes until it's empty
which algebraic expression are equivalent to the phrase a number increased by 0.25 select all that apply
Answer:
number increased by ten. ... y = x + 0.25.
Step-by-step explanation:
can you solve this equation?
-12 2/3 + 2 1/3
Answer:
-7.333
Step-by-step explanation:
Answer:
-9
Step-by-step explanation:
Find the value of x.
Use the Pythagorean theorem:
x = SQRT(33^2 + 56^2)
x = sqrt(1089 + 3136)
x - sqrt(4225)
x = 65
Answer:
65
Step-by-step explanation:
56²+33²=X²
√(56²+33²)=X
X=65
STICK EM UP! or I will have to shoot.
Marla and some friends are on a road trip. Marla was assigned to drive 3/7 of the total trip. She has already driven 3/5 assigned driving duty. How much of the total trip has Marla driven. The solution will go on the right side of the equation
Answer:
9/35
Step-by-step explanation:
Let x be the total trip distance.
Since Maria is assigned to drive 3/7 of the total trip, she is to drive 3x/7.
Now, since Maria has driven 3/5 of 3x/7, the amount of the total trip she has driven is 3/5 × 3x/7 = 9x/35.
So, Maria has driven 9/35 of the total trip.
3(x-5)=6 What is the answer?
Step-by-step explanation:
3(x - 5) = 6
x - 5 = 2 (divide 3 on both sides)
x = 7 (add 5 on both sides)
The solution is x = 7.
3(x-5)=6
multiply 3 by x and -5
3x-15=6
add 15 on each side
it cancels out on the left nd on the right u get 21
so it would be
3x=21
divide by 3 on each side
X=7
Check:
3(7-5)=6
3(2)=6
6=6
Another one he doesn't think I'm right on.
A. 8 is the answer
If the triangles are similar then their sides need to be in the same ratio. So, if 22 become 11, then the ratio is 2:1. So, for 16 it becomes 8.
Answer:
x = 8
Step-by-step explanation:
22/16 = 11/x
x = 11 . 16/22
x = 8
The difference between a number and seven
Answer:
7-n
Step-by-step explanation: do you need an equation?
Mis Brown graded 84 papers. If the ratio of science papers to math papers is 2:10 how many math papers did she grade?
Answer:
70
Step-by-step explanation:
2 + 10 = 12
84 ÷ 12 = 7
7 x 10 = 70
She graded 70 maths papers and 14 science papers.
multiply (-6.1)(4.1)
I answered -25.01 and was told it was wrong. It asks to answer as an integer or decimal.
how much is 6x x 3y? Plz help
Answer:
18xy
Step-by-step explanation:
Just multiply the coefficients and then put both the variables at the end.
When playing Yahtzee, I can roll 1 die and I need to roll a 2. What are my chances?
Answer:
Step-by-step explanation:
There are five dice, so whatever the first die rolls there is a 1/6 chance that the second die is the same number. If that occurs, there's a 1/6 chance that the third die is the same, ditto the fourth and the fifth. So probability of Yahztee in one roll is 1/6 x 1/6 x 1/6 x 1/6 = 1/1296.
Answer:
A 60% chance
Step-by-step explanation:
10 points Mrs. Daniels is going to visit her grandchildren in Mexico over her summer vacation. She will be gone for one month and five days. She leaves on May 29th. When does she return? A. June 29 B. July 4 C. June 4 D. July 29
Answer:
june 4
Step-by-step explanation:
this is the answer because after may its june and she said she will be gone for 5 days so she comes home on june 4
Answer:
JUNE 4
Step-by-step explanation:
PLEASE ANSWER FAST
Evaluate ab^2-4 divided by 10 when a=4 b=6
Answer:
Step-by-step explanation:
((a)(b)^2 - 4)/10
((4)(6)^2 - 4)/10
((4)(36)-4))/10
(144-4)/10
140/10
14
Please help, its due soon
Old Faithful is a geyser in Yellowstone National Park that erupts according to an arithmetic sequence. The eruptions generally happen in 46 minute intervals with a constant difference of 12 minutes. Suppose that you are in the park and you know the last eruption was at 12:22 p.m. That eruption was the 4th eruption of the day. About when can you expect the geyser to erupt again? Explain.
Answer:
1:10 AM
Step-by-step explanation:
The 4th eruption of the day as at 12:22 PM. And since the time between each eruption gets 12 minutes added, the next eruption is going to happen in 48 minutes, which is at 1:10 AM. After that eruption, the time will reset and the next eruption will happen at 1:22 AM
How can we write 1000 as a multiple of 10?How can we write 1000 as a multiple of 10?
Answer:
10 x 10 x 10
Step-by-step explanation:
Or just add zeros
Kinda confused by the question tho
Answer:
Hmm, ok so-
Step-by-step explanation:
10 x what equals 1000-
Just think.
10 x 100 = 1000
A cash register contains only five dollar and ten dollar bills. It contains three times as many five dollar bills as ten dollar bills and the total amount of
money in the cash register is $950. How many ten dollar bills are in the cash register?
Answer:
38
Step-by-step explanation:
Let x be the number of ten dollar
Number of five dollar=3x
Total amount of money in the cash register=$950
We have to find the number of ten dollar bill in the cash register.
According to question
[tex]5\times (3x)+10x=950[/tex]
[tex]15x+10x=950[/tex]
[tex]25x=950[/tex]
[tex]x=\frac{950}{25}[/tex]
[tex]x=38[/tex]
Hence, number of ten dollar bills in the cash register=38
A certain drug doseage calls for 460mg per kg per day and is divided into four doses(1 every 6 hours). If a person weighs 229 pounds, how many milligrams of the drug should he receive every 6 hours?
Answer:
11943.31 mg
Step-by-step explanation:
460mg a day per kilo of weight, 4 doses for that total amount
460/4=115mg per kilo per dose
1 kilo = 2.205 pounds
115/2.205=52.15 approx mg per pound per dose
52.15*229=11943.31 approx, which is how much per dose
uwu
AB = AD
Show that ABCD is a kite.
Give a reason for each stage of your working.
Christine got a loan for $160 at 5% simple interest for 3 years. How much will she have to pay the bank after 3 years?
Answer:
185.22
Step-by-step explanation:
Among the following correct statement is
a) The number of ways of expressing 36 as a product of two facrors is 4
b) The sum of odd divisors of 18 is 13 c) 220 and 274 are amicable numbers
d) G.C.D of 100, 25 is 1
Answer:
Step-by-step explanation:
a) False. There are three factor pairs for 36:
1×36
2×18
3×12
4×9
6×6
b) True.
18 = 2×3²
Odd divisors of 18: 1, 3, 9
1+3+9 = 13
c) False
100 = 2×5²
25 = 5²
Greatest common divisor = 25
two circles have a common chord of 16 in. Their centers are 21 units apart from each other. One of the circles has a radius of 17 in.
a)Make an accurate diagram of this situation.
b)Find a possible radius measurement for the second circle.
Answer:
Half of cord 24/2 = 12
Step-by-step explanation:
In the circle with r = 13 we have 13^2 = 12^2 + a^2 where a = the distance from the centre of this circle to the cord. Thus a = 5. Then the distance from the cord to the other circle centre is 21 - 5 = 16. In the second circle you can write r2^2 = 16^2 + 12^2. The r2 = sqrt (400) = 20
Willow has a recipe that asks her to use 3/4 cup of sugar. She is going to make 1/2 of the recipe, so she only needs 1/2 of that 3/4 cup. How many cups of sugar will she use?
Answer:
3/8ths cup
Step-by-step explanation:
take 3/4 and times that by 2 then you get 6/8th and then take half of the 6 out and get 3/8th
I need help ASAP with both
Answer:
No for the first one, yes for the second.
Step-by-step explanation:
Plug in the given numbers and see if it works.
15(1) + 3(4) = 10
15 + 12 = 10.
27 ≠ 10
Since 27 does not equal 10, we can already see that solution (1,4) will not work for these equations.
Now for the second problem, do the same thing.
10 = 1 + 9.
This is true, but remember to check the second equation just to be sure.
10 = 4(1) + 6
10 = 4 + 6
This is also true, so it (1,10) is a solution for the second system of equations.
Whoever solves gets brainlist
ameliaswan
Answer:
13 < y + x < 32
Step-by-step explanation:
x in (8,10) and y in (5,22) implies x + y in (8+5,10+22) = (13,32) so 13 < y + x < 32.
Answer:
14 < y+x < 31
Step-by-step explanation:
x = 9
y could be any number from 6 to 21
5+9 < y + x < 22+9
14 < y+x < 31
The side of the base of a square pyramid is increasing at a rate of 666 meters per minute and the height of the pyramid is decreasing at a rate of 111 meter per minute. At a certain instant, the base's side is 333 meters and the height is 999 meters. What is the rate of change of the volume of the pyramid at that instant (in cubic meters per minute)
Answer:
[tex]105m^3/min[/tex]
Step-by-step explanation:
We are given that
Base side of square pyramid, a=3 m
Height of square pyramid, h=9m
[tex]\frac{da}{dt}=6m/min[/tex]
[tex]\frac{dh}{dt}=-1/min[/tex]
We have to find the rate of change of the volume of the pyramid at that instant.
Volume of square pyramid, V=[tex]\frac{1}{3}a^2h[/tex]
Differentiate w.r.t t
[tex]\frac{dV}{dt}=\frac{1}{3}(2ah\frac{da}{dt}+a^2\frac{dh}{dt})[/tex]
Substitute the values
[tex]\frac{dV}{dt}=\frac{1}{3}(2(3)(9)(6)+(3^2)(-1)[/tex]
[tex]\frac{dV}{dt}=105m^3/min[/tex]
Hence, the rate of change of the volume of the pyramid at that instant=[tex]105m^3/min[/tex]