Answer: 0.001
Step-by-step explanation:
Given
The lock has 3 dials, each with the number 0 through 9.
The first place can be filled in 10 ways and the probability of selecting number '4' out of the 10 is [tex]\frac{1}{10}[/tex]
Similarly for selecting '3' and '9' is also [tex]\frac{1}{10}[/tex]
Therefore the probability of getting a combination of 4-3-9 is
[tex]\Rightarrow P=\dfrac{1}{10}\times \dfrac{1}{10}\times\dfrac{1}{10}\\\\\Rightarrow P=\dfrac{1}{1000}\\\\\Rightarrow P=0.001[/tex]
A mother is now 2 1/2 times old as her daughter Mary. Four years ago the ratio of their ages was 3:1. Find the present age of the mother.
Answer:
The present age of the mother is 40 years
Step-by-step explanation:
Let the age of the mother be M and that of the daughter D. Given that the mother is now 2 1/2 times old as her daughter Mary then
M = 2.5D
Given that Four years ago the ratio of their ages was 3:1
The mother's age 4 years ago was
= M - 4
and that of the daughter then was
= D - 4
Hence
(M - 4)/(D - 4) = 3/1
Cross multiply
M - 4 = 3(D - 4)
M - 4 = 3D - 12
M = 3D - 12 + 4
M = 3D - 8
Substitute into the first equation
3D - 8 = 2.5D
3D -2.5D = 8
0.5D = 8
D = 8/0.5
= 16 Years
M = 2.5D
M = 2.5 * 16
= 40 Years
A bag of marbles contains 4 red marbles and 4 green marbles. Each red marble was labeled with a different number, 1 through 4, and each green marble was labeled with a different number, 1 through 4. Which set represents the event, A, that Karen took a marble that was either green or had an even number?
Answer:
I think is b
Step-by-step explanation:
The student enrollment of South High School was 1,350 students in 1995 and increased by 15% per year until 2010. Approximately how many students were enrolled at South High School in 2010?
A.About 10,985 students
B.About 9,552 students
C.About 5,366 students
D.About 5,740 students
Answer: A.
Step-by-step explanation:
Answer:
A (10,985)
Step-by-step explanation:
y= 1,350(1+0.15)^15
1,350 is the student =a
0.15 which originally was 15% is the rate. =r
^15 is the time because 1995 to 2010 took 15 years. =t
The equation I use for this question:
y=a(1+r)^t a.k.a Exponential growth formula
plz help what’s the answer
Answer:
a. 192 b.60 c. 184, 164, 350
Step-by-step explanation:
a.Total of males=88+104
b.Female, Anaerobic=156-96
c. aerobic= 88+96=184
anaerobic=104+60
total=192+158
Find the surface area of the prism.
Answer:
58.1 (not rounded)
Step-by-step explanation:
You add all sides given to you to get the SA of the prism.
X A padlock's combination is five digits long using the digits o through 9. 0/4 Numbers can repeat within the combination. What is the probability that my combination has all even numbers in it (for example 22222 or 86840)? 0.01 w 0.03 0.05 Х O 0.1 Correct answer 0.03 OFC mooton Monday or Tuesday at 3PM 4PM
Answer:
Before we discuss permutations we are going to have a look at what the words combination means and permutation. A Waldorf salad is a mix of among other things celeriac, walnuts and lettuce. It doesn't matter in what order we add our ingredients but if we have a combination to our padlock that is 4-5-6 then the order is extremely important.
If the order doesn't matter then we have a combination, if the order does matter then we have a permutation. One could say that a permutation is an ordered combination.
The number of permutations of n objects taken r at a time is determined by the following formula:
P(n,r)=n!(n−r)!
Example
A code have 4 digits in a specific order, the digits are between 0-9. How many different permutations are there if one digit may only be used once?
A four digit code could be anything between 0000 to 9999, hence there are 10,000 combinations if every digit could be used more than one time but since we are told in the question that one digit only may be used once it limits our number of combinations. In order to determine the correct number of permutations we simply plug in our values into our formula:
P(n,r)=10!(10−4)!=10⋅9⋅8⋅7⋅6⋅5⋅4⋅3⋅2⋅16⋅5⋅4⋅3⋅2⋅1=5040
In our example the order of the digits were important, if the order didn't matter we would have what is the definition of a combination. The number of combinations of n objects taken r at a time is determined by the following formula:
C(n,r)=n!(n−r)!r!
Four friends are going to sit around a table with 6 chairs. In how many ways could the friends sit?
Step-by-step explanation:
Please help. SINE=?
Answer:
opposite - hypotenuse
Pleaseeeee helppppppppppppppp
Answer:
B
Step-by-step explanation:
a biconditional is if and only if
help pls ! just answer this and that’s it. tysm if you do
Answer:
-4.5
Step-by-step explanation:
so i personally think that the answer is -4.5.
my reason is that since point A is -7.7, and point C is 0, it has to be close to point A. since a negative that has a smaller number (ex: -3 > -8) is worth more than a negative with a bigger number, the answer can't be -9.2 or -8. now we're left with -4.5 and -1.3. Since -1.3 would be a closer point to 0, and B is pretty far from C, -4.5 is the most reasonable answer.
hope this helps !
Solve for x.
[tex]25x = 100[/tex]
Answer:
Solution given:
[tex]25x = 100[/tex]
[tex]x = \frac{100}{25}[/tex]
[tex]x = 4[/tex]
x=4 is a required answer.
Let's check
25x=100x=100/25x=4/1x=4x is 4
What is the volume of a hemisphere with a radius of 2.1 m, rounded to the nearest
tenth of a cubic meter?
Answer:
19.4 m³
Step-by-step explanation:
V=[tex]\frac{4}{3} \pi r^{3}[/tex]
radius-2.1
plug in:[tex]\frac{4}{3} (2.1)^{3}[/tex] =38.7923860865
[tex]\frac{38.7923860865}{2}[/tex] =19.3961930433
=19.4²
Sana's mother bought produce for Sunday dinner. She bought one more pound of peaches than of tomatoes. She bought 3 times as many pounds of tomatoes than pounds of mushrooms. If peaches cost $6 per lb, tomatoes cost $3 per lb, and mushrooms cost $10 per lb, how many of each did Sana's mother buy for $80?
Please explain how you got the answer like the steps and please dont link any files
1(Identifying):
Tomatoes-x--$3 per lb
Mushrooms- 1/3 x-- $10 per lb
Peaches- x+1-- $6 per lb
2(Equation):
3x+6(x+1)+1/3x*10=80
3x+6x+6+10/3 x=80
12 1/3 x= 74
x=74÷(12+1/3)
Step 3(Final Equations):
74*3/37=6=tomatoes
Meaning...
6+1=7=Peaches
6/3=2= mushrooms
Answer:
7 lb of peaches, 6 lb of tomatoes, and 2 lb of mushrooms
Answer:
7 lb of peaches, 6 lb of tomatoes, and 2 lb of mushrooms
Step-by-step explanation:
PLLLZZZZ HELPPPPPPP MEHHHHHH
What is the value of the expression below?
900 – 2 x (18x3)
Help it’s for a test and I need it done in under 20 mins
Which fraction is less 2/9 1/3
Answer:
2/9 is less than 1/3
Step-by-step explanation:
2/9= 0.222
1/3=0.333
Help me please I need it
Step-by-step explanation:
see the photo for explanation
Answer:
We are finding hypotenuse
3^2 + 2.5^2
9 + 6.25 = 15.25
3.9^2 = 15.21 close enough.
3.9 would be your answer.
When finding the hypotenuse, we square the two given lengths add them up and then that number you get from adding them up, there should be a number that will be squared that will equal that number that you added up.
Please help I need to find the area can anyone help me
Answer:
what area do u need, l think it's 5 in 19
How do you find a factor in a graph?
Geoff paddles his canoe at an average speed of 3.5 miles per hour. After 5 hours of canoeing, Geoff has traveled 18 miles. Write an equation in slope-intercept form to find the total distance y Geoff travels after x hours.
Answer:
d(x) = 3.5x + 0.5
Step-by-step explanation:
3.5 x 5 = 17.5 which means the canoe began from a starting point of 0.5
Answer:
y−18=3.5(x−5)
Step-by-step explanation:
from mcgraw hill
move numbers to the table to show the value of x that satisfies each question
equation 2^x = 16
4^x = 1/16
Carter is going to invest $79000 and leave it in an account for 12 years. Assuming the interest is compounded continuously, what interest rate, to the nearest hundredth of a percent, would be required for carter to end up with $121000?
Answer:
r≈3.55%
Step-by-step explanation:
Can someone plz help me plz I beg uuuu plz I will really appreciate it
Answer:
x=45
Step-by-step explanation:
(2x+10) + 30 + 50 = 180
2x+10+30+50 = 180
2x+90=180
2x=90
x-45
What is the solution to the system of linear equations graphed below?
Answer:
(1/2,4)
Step-by-step explanation:
because that is where the line crosses each other
the x is 1/2
the y is 4
omg bet you don't know this pt2
Answer:
look at what the angle represent in the arrows
Step-by-step explanation:
Answers are 3/4 and 4/6
Biologists studying wildlife in the state parks want to estimate the average weight of chipmunks. They measured the weights of 5 chipmunks from each of 10 parks. The mean of the data was 91 grams, and the median was 87 grams
Answer:
The average weight of the chipmunks is 91 grams
Step-by-step explanation:
The mean of a dataset gives the average which is obtained by taking the sun of each data value and dividing by the number of samples. The median however requires the arrangement of data in terms of size ze (ascending) and taking the mid value (value which falls in the 50% mark). For the data above, the most appropriate measure of the average is the mean. Hence, the prediction which matches the data is ; The average weight of the chipmunks is 91 grams.
Based on the data that the Biologists found out, the prediction that best matches the data is The average weight of the chipmunks is 91 grams.
What does the data say?The data shows the weights of the five chipmunks that were recorded and the mean of these weights was 91 grams.
The mean of a dataset is the same as its average which means that the average weight found from the chipmunks was 91 grams.
In conclusion, option D is correct.
Options for this question are:
About one-half of the chipmunks weigh more than 91 grams
The average weight of the chipmunks is 87 grams.
About one-half of the chipmunks weigh more than 87 grams
The average weight of the chipmunks is 91 grams
Find out more on averages at https://brainly.com/question/14532771.
simplify.
PLEASE HELP ITS DUE IN 5 MINUTES
(top number is a 6)
Answer:
[tex]\frac{24}{11}+\frac{6\sqrt{5} }{11}[/tex]
Step-by-step explanation:
Multiply the fraction by the conjugate and solve (would explain more but you're on a time crunch)
Simplify the answer
Answer:
11/12
Step-by-step explanation:
Answer:
A. 11/12 cup
Step-by-step explanation:
3 1/4 = 2 5/4
2 5/4-2 1/3 = 5/4-1/3
5/4-1/3 = 11/12
HELP !!!!!!!!!!!!!! PLS
Answer:
I think it will be (x+7)^2 =16
I'm not for sure but I think this is it.
Step-by-step explanation:
hey what's the answer !!
[tex] \sqrt{98 - ( 17)} [/tex]
(ﾉ≧∇≦)ﾉ
Answer:
√98-17
=√ 81
=√ (9)^2
=9 is ans
Answer:
[tex] \sqrt{98 - ( 17)} [/tex]
[tex] {\sqrt{81}} [/tex]
[tex] {\sqrt{9²}} [/tex]=±9
is your answer
3. A soccer player heads a ball from a height of 6 feet with an initial vertical velocity of
20 feet per second. The height h in feet of the ball is given by h = -167 + 20t +6,
where t is the time elapsed in seconds. How long will it take the ball to hit the
ground if no other players touch it? State the method you used to solve this
quadratic equation and why you chose that method.
Answer:
1.5secs
Step-by-step explanation:
Given the expression that models the height as;
h(t) = -16t²+20t +6
The ball will touch the ground at when h(t) = 0
0 = -16t²+20t +6
Swap
-16t²+20t +6 = 0
Divide through by -2
8t²-10t-3 = 0
Expand using the general formula
t = -(-10)±√(-10)²-4(8)(-3)/2(8)
t = 10±√100+96/16
t = 10±√196/16
t = 10±14/16
t = 10+14/16
t = 24/16
t = 1.5
Hence it will take the ball 1.5secs to hit the ground