Answer:
21 / 252
Step-by-step explanation:
Recall : nCr = n! ÷ (n-r)!r!
The total possible outcome ; 5 questions out of 10
10C5 = 10! ÷ 5!5! = (10*9*8*7*6)÷(5*4*3*2*1) = 252
Required outcome :
All 5 questions set being from the 7 questions covered and 0 from the 3 left uncovered
7C5 * 3C0
7C5 = 7! ÷ 2!5! = (7*6) ÷ (2*1) = 21
3C0 = 3! ÷ 3!0! = 1
Probability = required outcome / Total possible outcomes
P(All 5 questions prepared for appears) :
[7C5 * 3C0] ÷ 10C5
(21 * 1) / 252
= 21 / 252
Bernice uses the equation C = 2h + 8 to find the total cost, C, in dollars, of renting a boat for h hours. If Bernice does not spend more than $32, what is the maximum number of hours she can rent the boat?
a 8
b 12
c 20
d 22
Answer:
A
Step-by-step explanation:
Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.
Isolate h to find the maximum number of hours she can rent the boat:
2h + 8 ≤ 32
First, subtract 8 from both sides.
2h ≤ 16
Then divide both sides by 2.
h ≤ 8
h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.
Find the length of the third side. If necessary, round to the nearest tenth.2 5
Answer:
b= 4.6
Step-by-step explanation:
use the pythagorean theorem.
Answer:
4.6
Step-by-step explanation:
An ice cream shop has 5 flavors. Carlos wants to buy a five-scoop cone with 5 different flavors. How many cones could he buy if the order of the flavors is important?
A.30,140 cones
B.240 cones
C.120 cones
D.60 cones
E.26,970 cones
First to answer gets marked brainliest.
what is the standard deviation of 6, 2, 3, 1
Answer:
1.870828693387
Step-by-step explanation:
Standard Deviation, σ: 1.870828693387
Count, N:4
Sum, Σx: 12
Mean, μ: 3
Variance, σ2: 3.5
Steps
σ2 = Σ(xi - μ)2
N = (6 - 3)2 + ... + (1 - 3)2
4 = 14
4 = 3.5
σ = √3.5
= 1.870828693387
Can somebody please help? It don't get it
Answer: 4
14 is shown... then you have 10 that is shown how much more would it take to make 14..... 4 more
10+x=14
x=4
Answer:
Equation: 14 - j = 10
j = 4
Step-by-step explanation:
please help!!!I don’t know how to solve
Step-by-step explanation:
formula for the first question:
a^2+b^2=c^2
8^2+6^2= 100
√100 = 10cm
which is equivalent to 2/9
Answer:
4/18 is equivalent to 2/9
Andrea has 4 hours to spend training for an upcoming race. She completes her training by running full speed the distance of the race and walking back the same distance to cool down. If she runs at a speed of 8mph and walks back at a speed of 2mph, how long should she plan to spend walking back?
Answer:
Time spend in walking = 3.2 hour = 3¹/₅ hour
Step-by-step explanation:
Given:
Total time taken = 4 hour
Speed when run = 8 mph
Speed when walk = 2 mph
Find:
Time spend in walking
Computtaion:
We know that;
Time = Distance / Speed
Assume;
One side distance = D
So,
D/8 + D/2 = 4
2D + 8D = 64
10D = 64
D = 6.4
So,
One side distance = 6.4 mile
Time spend in walking = One side distance / Speed when walk
Time spend in walking = 6.4 / 2
Time spend in walking = 3.2 hour = 3¹/₅ hour
Is the following statement TRUE or FALSE? Select the best choice from the following to justify your
answer.
log(e) = ln(e)
O FALSE. The two logarithms have different bases so their values are not the same.
O FALSE. The value of log(e) is undefined.
O TRUE. Both logarithms are equal to e.
O TRUE. Natural logarithms and common logarithms are always equal to each other.
Answer:
[tex]first \: answer \: is \: true[/tex]
Please help me with this question
Answer:
I think B .......................................
please help me 100 points if you help
Answer:
1) scalene 2) Isosceles 3) Equilateral 4) Scalene
Step-by-step explanation:
1. no sides are the same length
2. two sides are the same length
3. all sides are the same length
4. no sides are the same length
Answer: Hello Luv........
1) scalene 2) Isosceles 3) Equilateral 4) Scalene
Step-by-step explanation: Sorry i copied other.
1. no sides are the same length.
2. two sides are the same length.
3. all sides are the same length.
4. no sides are the same length.
Mark me brainest please. Hope this helps. Anna ♥
An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of
ibuprofen left in the persons system. How long will it take until there is only 25 mg
of ibuprofen left in the person's system? Show all work and round your answer to
three decimal places.
Answer:
It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.
Step-by-step explanation:
An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of
ibuprofen left in the persons system
This means that in 2 hours time
400- 201.6= 198.4 mg was used up.
We need only 25 mg in the system
so 400- 25= 375 mg time is needed
time mg
2 hour 198.4
x 375
Using the cross product rule
x= 375*2/198.4
x= 3.780 hrs
Which means 3 hours and (0.78* 60)= 46.8 minutes.
It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.
help, don't guess. tyyyy
Answer:
[tex]\huge{\textbf{\textsf{{\color{skyblue}{An}}{\blue{sw}}{\red{er}}{\color{red}{:}}}}}[/tex]
0 (zero)
Step-by-step explanation:
The 8-sided die has numbers less than 9. So, they can never be greater than 9.
Please help me with this
Answer:
33
Step-by-step explanation:
I need help ASAP
A scatter plot is shown
What type of association does the graph show between x and y?
A Linear positive association
B Nonlinear positive association
C Linear negative association
D Nonlinear negative association
Please hurry, this is past due!
A triangle has an altitude with height 7 cm. Which of the following have a proportional relationship to the height? Select all that apply.
A.The perimeter
B.The sides
C.The angles
D.The area
E.The vertices