Answer:
The probability that the height of a randomly selected tree is as tall as mine or shorter.
P(X≤182.2) = 0.0082
Step-by-step explanation:
Step(i):-
Mean of the Population = 191.8 ft
Standard deviation of the Population = 4 ft
Let 'X' be the random variable in normal distribution
X = 182.2 feet
[tex]Z = \frac{x-mean}{S.D}[/tex]
[tex]Z = \frac{182.2-191.8}{4} = -2.4[/tex]
Step(ii):-
The probability that the height of a randomly selected tree is as tall as mine or shorter.
P(X≤182.2) = P( z≤ -2.4)
= 1-P(z>2.4)
= 1-(0.5 + A(2.4))
= 0.5 - A(2.4)
= 0.5 - 0.4918
= 0.0082
The probability that the height of a randomly selected tree is as tall as mine or shorter.
P(X≤182.2) = 0.0082
I need help finding the answer to this:
Nathan opens a new savings account and makes an initial deposit of $400. If the account earns 2% annual interest, how much interest will he earn in 9 months?
Answer:
He will earn $6 in interest in 9 months.
Step-by-step explanation:
This is a simple interest problem.
The simple interest formula is given by:
[tex]E = P*I*t[/tex]
In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.
After t years, the total amount of money is:
[tex]T = E + P[/tex]
Initial deposit of $400.
This means that [tex]P = 400[/tex]
2% annual interest
This means that [tex]I = 0.02[/tex]
How much interest will he earn in 9 months?
An year has 12 months, this means that [tex]t = \frac{9}{12} = \frac{3}{4} = 0.75[/tex]
This is E. So
[tex]E = P*I*t = 400*0.02*0.75 = 6[/tex]
He will earn $6 in interest in 9 months.
11.45 x 3.7 =
(step by step explanation pls)
How many lines of symmetry does a trapezoid have
Model the problem with algebra tiles. Then use the model to write an algebraic expression that represents the situation.
Cammie ran three times as far.
The situation can be modeled with algebra tiles by
________.
The situation can be represented as an algebraic expression as
______.
Answer:
Model the problem with algebra tiles. Then use the model to write an algebraic expression that represents the situation.
Cammie ran three times as far.
The situation can be modeled with algebra tiles by
✔ three orange x tiles
.
The situation can be represented as an algebraic expression as
✔ 3x
.
Step-by-step explanation:
Hope this helps!!
ig- crochetsbyandrea
Answer:
1 three orange x tiles
2 3x
Step-by-step explanation:
y + 5 = (x + 3)
slope (m): ?
coordinates: ?
Answer:
Your slope would be: -5
Step-by-step explanation:
First we need to format it into a linear equation which is: y= mx+b
y+5= (x+3)
and than minus 5 on each side to get:
y=(x+3)-5
than use distributive property to get:
y= -5x+-15
your slope would be:
-5
and than you can get any coordinates from the line if you graph the line on the site "desmos" so just use that site :)
hope it helps!
Five times a number decreased by 8 is less than 37. Write an algebraic inequality to represent this situation.
Answer:
5x - 8 < 37
Step-by-step explanation:
I'm so sorry if this is wrong
Solve for n:
3(2−8n)=3n+6
Select one:
-15
5
-5
0
at a school there are 10 students taking only chemistry, 9 students taking only physics 5 students taking both, and 16 students not taking either. if a student is randomly selected from the other school, what is the probability that they are taking chemistry or physics?
Answer:
If there are 10 students taking only chemistry, 9 students taking only physics, and 5 students only taking both chemisty and 16 students are taking neither; I would add 10+9+5+16=40 (total students) and divide 10/40 (25% chemistry) 9/40 (22.5% physics) 5/40 (12.5% both) 16/40 (40% neither)
Step-by-step explanation:
1. Determine a single event with a single outcome.
2. Identify the total number of outcomes that can occur.
3. Divide the number of events by the number of possible outcomes.
Answer:
3/5
Step-by-step explanation:
A statue of George Washington is also in Druids a 15 m away from the statue and places a mirror 12 m from the statue (3 m from her feet)she can see the top of the statue in the mirror. The girl's height is How tall is the statue(draw a diagram and solve)
Answer:

Let 'x' represent the height of the statue.
1 ft = 0.3048 m
5.5 ft = 5.5*0.3048 m
Using the similar triangles we can write:
x : 3 = 12 : (5.5*0.3048)
x = 21.47 m
The statue is 21.47 meters tall
What is the length of side s of the square shown below?
45
90°
A. 2-2
B. 2
C. 42
O D. v2
E. 1
O F. 4
Answer:
D. √2
Step-by-step explanation:
Solve for x by applying trigonometric ratio.
Reference angle = 45°
Hypotenuse = 2
Adjacent side = s
Thus:
Cos (45) = adj/hyp
Cos (45) = s/2
2×Cos(45) = s
2 × √2/2 = s (cos (45) = √2/2)
√2 = s
s = √2
An array of 30 LED bulbs is used in an automotive light. The probability that a bulb is defective is 0.001 and defective bulbs occur independently. Determine the following: a. Probability that an automotive light has two or more defective bulbs. b. Expected number of automotive lights to check to obtain one with two or more defective bulbs.
Answer:
a) 0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.
b) 4000 automotive lights.
Step-by-step explanation:
For each LED, there are only two possible outcomes. Either it is defective, or it is not. Defective bulbs occur independently, which means that we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
An array of 30 LED bulbs is used in an automotive light. The probability that a bulb is defective is 0.001.
This means that, respectively, [tex]n = 30, p = 0.001[/tex].
a. Probability that an automotive light has two or more defective bulbs.
This is:
[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]
In which
[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{30,0}.(0.001)^{0}.(0.999)^{30} = 0.9704[/tex]
[tex]P(X = 1) = C_{30,1}.(0.001)^{1}.(0.999)^{29} = 0.0291[/tex]
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9704 + 0.0291 = 0.9995[/tex]
[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9995 = 0.0005[/tex]
0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.
b. Expected number of automotive lights to check to obtain one with two or more defective bulbs.
0.0005 = 0.05% probability that an automotive light has two or more defective bulbs.
The number of expected trials to obtain n successes with p probability is given by:
[tex]E = \frac{n}{p}[/tex]
In this case, we have that [tex]n = 2, p = 0.0005[/tex]. So
[tex]E = \frac{n}{p} = \frac{2}{0.0005} = 4000[/tex]
4000 automotive lights.
A baker made nine cupcakes each a different type four people want to share them equally how many cupcakes in each person get?
Después de aplicar un 15% de descuento, el precio de un juego de comedor es de $940. Calcular el precio inicial.
Seleccione una:
a. $1.456,80
b. $1.340,00
c. $1.000,50
d. $1.105,88
Answer:
b).$1.340,00
Step-by-step explanation:
Sana po makatulong ako sayo..
Madison has test scores of 93, 82, 86, and 75. What is the mean?
answer as fast a possible
Answer:
Mean is 84
Step-by-step explanation:
A oil well is drilled at -175 meters ever 12 hours . How deep is the well after 15 hours of constant work. Numeric answers only
Answer:
-37.5 m
Step-by-step explanation:
If we assume that "one full day" is 24 hours, then 15 hours represents the fraction 15/24 of a day. Since the drilling rate was constant, and was presumed to start from a height of 0, the height after 15 hours is that fraction of the day's work:
... (15/24)×(-60 m) = -37.5 m
Answer:
-218.75
Step-by-step explanation:
you probably don't need the answer anymore but I still thought I should put it out there
Ken earned $128 from his part-time job this summer. He spent 25% of his money on games. He is going to donate 1/6 of the remaining money to charity. How much will the charity receive?
A) $15
B) $16
C) $32
D) $80
Please explain how to do it also
Answer:
B) $16
Step-by-step explanation:
Alright so first you want to take the total amount of money made :
$128
Next you want to find 25% of this number (or 1/4) and subtract it from the total.
So :
128 / 4 = 32
So now we take 128 and subtract 32. (32 = 1/4 or 25% of 128)
128 - 32 = 96
Ken now has $96 left over after spending money on games.
So now that we have this number we need to find 1/6 of it because he took 1/6 of the money after he bought games and put it towards charity.
So :
96 / 6 = 16
16 is equal to 1/6 of his leftover money after games and is the amount the charity received.
B) $16
I hope this helps! :)
If you are confused or have any questions please comment or dm and I would be happy to help.
Also change the pfp FeelsGoodMan
Answer:
B) $16
Step-by-step explanation:
1. First let's find how much he spent on games. Multiply 0.25 to 188. 0.25 x 128 = 32.
2. Now subtract that amount from the original $128. 128 - 32. = 96.
3. Then, multiply 1/6 from 96. 1/6 x 96 = 16. This $16 is the amount the charity will receive.
In addition to his hourly rate, Mr. Smith is paid $2.20 for each watch he fixes. Write an expression for his income if he fixes r watches per hour?9.5 is hourly rate.
Step-by-step explanation:
y = hourly income
r = number of watches fixed
equation: y = 2.20r + 9.5
Which graph represents this system?
3x+2y=-6
y=-3/2x+2
Answer: look at the picture
Step-by-step explanation: hope this help:)
18 cheeseburgers is 45% of how many cheeseburgers?
Answer:
40 cheesburgers
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
45% is 9/20
18 cheeseburgers is 9/20 of all the cheese burgers
36 cheeseburgers is 18/20 of all the cheeseburgers
40 cheese burgers is 20/20 of all cheeseburgers
For which of the following equations is (-2,-3) not a solution?
A) y=x-1
B) -3x=4y-6
C) 2y-3x=0
D) 5x+2y=-16
Answer:
B) -3x=4y-6
Step-by-step explanation:
(-2,-3); x= -2 and y= -3
B) -3x=4y-6
-3x= 4(-3) - 6= -12-6= -18
x= -18/-3=6... wrong
What is the integer?
Sally lost 40 dimes because she did not put the money in her piggy bank.
Answer:
-40
Step-by-step explanation:
This is because she LOST 40 dimes making it a negative number, so the integer to represent this would be -40.
12. Suppose a reward for a CS follows a probabilistic schedule. If the probability of receiving the reward increases then: a) firing will increase for CS and increase for US b) firing will increase for CS and decrease for US c) firing will decrease for CS and decrease for US d) firing will decrease for CS and increase for US e) none of the above; firing will remain unchanged for CS and US
Answer:
d) firing will decrease for CS and increase for US
Step-by-step explanation:
The is the answer going by the probabilistic nature of the schedule. That is, as the probability of relieving reward increase has a direct effect on the CS leading to its decrease as well as a proportional increase for US. On the other hand, a decrease of probability of receiving reward will have an opposite effects on the schedule.
42 out of 90 is what percentage?
Answer:46.6%
Step-by-step explanation: multiply 42 by 100 than divide that by 90
The line that contains a slope of 1/2 and passes thru the point (-2,-3)
Answer:
in this question what we have to do please can you tell
Consider the expressions 3x(x − 2) + 2 and 2x2 + 3x − 18.
Part 1 out of 2
Evaluate each expression for x = 4 and for x = 5. Based on your results, do you know whether the two expressions are equivalent? Complete the explanation.
For x = 4, each expression has a value of
26
. For x = 5, each expression has a value of
. These results suggest that the expressions
(select)
equivalent, but
(select)
the expressions are equivalent.
Answer:
See answer below
Step-by-step explanation:
For the first expression
3 x (x - 2) + 2 = 3 x^2 - 6 x + 2
evaluated at x= 4 we get: 26
and for x = 5 we get 47.
For the second expression
2 x^2 + 3 x - 18
we get the exact same values when doing the evaluation at these two points.
Based on those results, one may think the expressions may be equivalent, but they are not equivalent. Because at any other x-value, their results are different. See for example that for x = 0 the first one gives "2" while the second one gives -18.
What is the area and circumference of the circle?
9514 1404 393
Answer:
area: 36π ≈ 113.1 . . . . square unitscircumference: 12π ≈ 37.7 . . . . unitsStep-by-step explanation:
The area formula is ...
A = πr^2
A = π(6^2) = 36π ≈ 113.1 . . . . square units
__
The circumference formula is ...
C = πd
C = π(12) = 12π ≈ 37.7 . . . . units
Based on the completed table above what is the value of f?
Answer:
0
Step-by-step explanation:
Answer:
0 is the best answer.
Step-by-step explanation:
Which is a true statement?
Answer:
A
Step-by-step explanation:
-18 is an integer and a whole number
help asap, will give brainliest! x
Answer:
<
Step-by-step explanation:
there ya go :) hope that helps youuu
btw you're doing great on that :D
Total profit P is the difference between total revenue R and total cost C. Given the following total-revenue and total-cost functions, find the total profit, the maximum value of the total profit, and the value of x at which it occurs.
R(x)=1300x-x^2
C(x)=3300+20x
Will give brainliest!
Answer: Oh no... Anyway's wanna ask me a question about sex ed?
Step-by-step explanation: x=495
,P=241,525
Step-by-step explanation:
Given that
Profit=Total revenue - total cost
P= R -C
Also given that
So
Above equation is the total profit in terms if x.
Now to find maximum value of P we have to differentiate above equation with respect to x
So
⇒x=495
So total profit at x=445 ,P=241,525
Answer:
The profit function is:
[tex]P(x)=-x^2+1280x-3300[/tex]
The maximum value is 406, 300 occurring when x = 640.
Step-by-step explanation:
The revenue function is:
[tex]R(x)=1300x-x^2[/tex]
And the cost function is:
[tex]C(x)=3300+20x[/tex]
Then the total profit function will be:
[tex]P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300[/tex]
This is a quadratic function.
Therefore, the maximum value of the total profit will occur at its vertex point.
The vertex of a quadratic is given by:
[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]
In this case, a = -1, b = 1280, and c = -3300.
Then the point at which the maximum profit occurs is at:
[tex]\displaystyle x=-\frac{1280}{2(-1)}=640[/tex]
And the maximum profit will be:
[tex]P(640)=-(640)^2+1280(640)-3300=406300[/tex]
