Answer:
d = 1.46 m
Step-by-step explanation:
We'll begin by obtaining the relationship between the force (F) and the distance (d). This can be obtained as follow:
From the question given above,
F is inversely proportional to square of d. This can be written as:
F ∝ 1/d²
F = K/d²
Cross multiply
K = Fd²
But:
Force (F) = 0.006 N
Distance (d) = 4 m
Constant (K) =?
K = Fd²
K = 0.006 × 4²
K = 0.006 × 16
K = 0.096 Nm²
Therefore, the relationship between the force (F) and the distance (d) is:
F = K/d²
F = 0.096 / d²
Finally, we shall determine the distance when the force is 0.045 N. This can be obtained as follow:
Force (F) = 0.045 N
Constant (K) = 0.096 Nm²
Distance (d) =?
F = K/d²
0.045 = 0.096 / d²
Cross multiply
0.045 × d² = 0.096
Divide both side by 0.045
d² = 0.096 / 0.045
Take the square root of both side.
d = √(0.096 / 0.045)
d = 1.46 m.
{35, 42, 49, 56, ...} finite or infinite?
Answer:
infinite
Step-by-step explanation:
Simplify -6(a +8) can someone help me with that with the steps included
Answer:
−6(a+8)
=(−6)(a+8)
=(−6)(a)+(−6)(8)
=−6a−48
Step-by-step explanation:
multiply -6 x a to get -6a and multiply -6 x 8 to get -48 so -6a-48
A cylindrical can of paint has a volume of 200pi cubic inches.
What is the volume of a cone with a base and height that are congruent to the corresponding measures of the paint can?
Answer:
Step-by-step explanation:
An elevator can carry up to 2,500 pounds. Suppose the weight of an average adult is 150 pounds. At most how
many average-sized adults can safely ride the elevator at the same time? Write an inequality and solve. Let p
represent the number of people who can safely ride the elevator.
Answer:
16
Step-by-step explanation:
2500/150=16 2/3
but we dont want 2/3 of a person so just ignore that part
im in a hurry sorry
Answer:
16
Step-by-step explanation:
assuming that you can go up to 2500, simply multiple until you reach your target of 2500, i did 150 x 16 to get 2400, 100 less than 2500, meaning it would be safe and one more wouldn't.
An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufacturing defect. (a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars. (b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p. Repeat (a) using a Poisson distribution and compare the results.
Answer:
a) 0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.
b) 0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.
Step-by-step explanation:
Binomial 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.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
To use the Poisson approximation for the binomial, we have that:
[tex]\mu = np[/tex]
1 in every 2500 automobiles produced has a particular manufacturing defect.
This means that [tex]p = \frac{1}{2500} = 0.0004[/tex]
a) Use a binomial distribution to find the probability of finding 4 cars with the defect in a random sample of 7000 cars.
This is [tex]P(X = 4)[/tex] when [tex]n = 7000[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{7000,4}.(0.0004)^{4}.(0.9996)^{6996} = 0.1558[/tex]
0.1558 = 15.58% probability of finding 4 cars with the defect in a random sample of 7000 cars.
(b) The Poisson distribution can be used to approximate the binomial distribution for large values of n and small values of p.
Using the approximation:
[tex]\mu = np = 7000*0.0004 = 2.8[/tex]. So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 4) = \frac{e^{-2.8}*(2.8)^{4}}{(4)!} = 0.1557[/tex]
0.1557 = 15.57% probability of finding 4 cars with the defect in a random sample of 7000 cars. These probabilities are very close, which means that the approximation works.
Can you please help me !!
Step-by-step explanation:
i think 2 because the 10 could be divided by 5
which would give you
r ^2 + 2
1. 2
I GIVEEE BRAINLILSTT
Answer:
Step-by-step explanation:
If a point is dilated by a scale factor 'k' centered at the origin,
Coordinates of the image point becomes as,
(x, y) → (kx, ky)
By this rule,
Coordinates of the vertices of the image triangle, when preimage is scaled by a factor of 5 about the origin will be,
T(-1, -2) → T'(-5, -10)
U(2, -2) → U'(10, -10)
V(-1, 1) → V'(-5, 5)
Answer:
vsdfvbfbxfvfbfsdcvdsvdv
Step-by-step explanation:vdsv
bfbfxdbvcbcvbdfbvdsvdsvdsvds
3x + 4y = -23
2y - x = -19
What is the solution (x, y) to the system of equations above?
(-5, -2)
(3, -8)
(4, -6)
(9, -6)
Step-by-step explanation:
I belive is choice 2 cause I only got -19 with that one
if f (x) = √(3) ×cos(x) + 3×sin(x) , then f َ(π/3)
Answer:
2sqrt(3)
Step-by-step explanation:
.............
Select the correct answer from each drop-down menu. Prism M and pyramid N have the same base area and the same height. Cylinder P and prism Q have the same height and the same base perimeter. Cone Z has the same base area as cylinder y, but its height is three times the height of cylinder Y. The figures and have the same volume.
Answer:
sm[tex]prism M and Cylinder P\\[/tex][tex]Plato[/tex]
Step-by-step explanation:
Use the table to solve the inequality -3x<3
Answer:
what table
Step-by-step explanation:
Answer:
x
≥
−
1
Step-by-step explanation:
Complete the table of values
Answer/Step-by-step explanation:
✔️when x = 0:
[tex] 4^{-x} [/tex]
Plug in the value of x
[tex] 4^{-0} [/tex]
[tex] \frac{1}{4^0} [/tex] (negative exponent)
[tex] \frac{1}{1} [/tex] (whatever number that is raised to the power of 0 = 1)
a = 1
✔️when x = 2:
[tex] 4^{-x} [/tex]
Plug in the value of x
[tex] 4^{-2} [/tex]
[tex] \frac{1}{4^2} [/tex] (negative exponent)
[tex] b = \frac{1}{16} [/tex]
✔️when x = 4:
[tex] 4^{-x} [/tex]
Plug in the value of x
[tex] 4^{-4} [/tex]
[tex] \frac{1}{4^4} [/tex] (negative exponent)
[tex] c = \frac{1}{256} [/tex]
1. Su familia va a cenar a un restaurante de estilo sureño. Hay 6 personas en tu familia. Algunos piden la cena de pollo por $ 14 y otros piden la cena de bistec por $ 17. Si la cuenta total fue de $ 99, ¿cuántas personas pidieron cada cena?
hola. én gou. hul gh ghî
Solve for x: 0.03x - 1.2 = 0.24
Answer:
920
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line y = 8x + 5?
Answer . m= -1/8
Step-by-step explanation:
The perpendicular slope is the negative reciprocal. Meaning that the numerator and denominator are switched and the sign of the slope becomes the opposite. (if the slope was -8, then the perpendicular slope would be 1/8)
Determine whether the relation is or is not a function.
Answer:
Not a function because it does not pass the Vertical Line Test.
Evaluate 42,147÷63. Round to the nearest whole number, if necessary.
Please help
Answer: 669
Step-by-step explanation:
Whoever answers number 1 and 2 gets brainliest!! :)
Answer:
1: Yes they are both equivalent because 48/8 is 6 and 24/4 is 6.
2: They would score 750 points because you divide 150 by 3 and get 50, then you multiply 50 by 15 and get 750!
Step-by-step explanation:
Please help out! Fast
Answer:
40, 15, 2.5
Step-by-step explanation:
If there are 10 kilos in 22 pounds, we have to divide Fido's weight by 22. 88/22 is 4 meaning there are four sets of 10 kilos making 40.
If 22 pounds is 1 kilogram, and half a kilogram is 11 pounds, we kmow thaat 22 + 11 equals 33.
Bella weighs one foruth or a quarter of 22. Meaning he is a quarter of 10 kilograms giving us 2.5
If a = -4, then what is the value of -a?
OA.
5
OB.
4
OC. 0
OD
D. -4
Plz I will give brainliest
Answer:
I'm so confused
Step-by-step explanation:
did you forget to add a picture
1.
Which expression is equivalent to "the second power of (8 - 3)"?
O A 53
B. 83
c. 52
D. 2(8 - 3)
Answer:
[tex](8 - 3)^2 = 5^2[/tex]
Step-by-step explanation:
Given
[tex](8 - 3)[/tex]
Required
Determine the second power
The second power of an expression is the square of the expression.
So, the second power of [tex](8 - 3)[/tex] is
[tex](8 - 3)^2[/tex]
Solving further:
[tex](8 - 3)^2 = 5^2[/tex]
Hence:
Option (c) is correct
What is the first quartile of the following data set?
15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
Answer:
20.5
Step-by-step explanation:
20 + 21 = 41. Divide 41 by 2 than you get 20.5.
The first quartile of the given data set is 20.
Here,
To find the first quartile of a data set, we first need to arrange the data in ascending order.
Then, we can calculate the position of the first quartile using the formula:
Position of the first quartile (Q1) = (n + 1) / 4
where n is the number of data points in the data set.
Given data set: 15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
Arranging the data in ascending order: 15, 18, 20, 21, 23, 24, 26, 29, 34, 37, 40
Now, let's calculate the position of the first quartile:
n = 11 (since there are 11 data points in the data set)
Position of the first quartile (Q1) = (11 + 1) / 4 = 12 / 4 = 3
The first quartile (Q1) is the value at the 3rd position in the ordered data set, which is 20.
So, the first quartile of the given data set is 20.
learn more on quartile :
https://brainly.com/question/29081024
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You have $4.10 and would like to buy some almonds .if a pond costs $8, how many ounces can you buy ?
Answer:
Step-by-step explanation:
we know that 1 lb=16oz
16 oz almonds = costs 8 dollars , we divide the cost to oz
8/16=0.5 dollars / oz
4.10/0.5=8.2 oz
for 4.10 dollars you buy 8.2 oz
Please answer and show how you got them
Answer:
Point form:
1:
(1,2)
Equation form:
1, y = 2
2:
Point form:
(3,0)
Equation form:
x = 3,y,=0
Step-by-step explanation:
I need help with this problem ASAP
Answer:
b
Step-by-step explanation:
Alexandra read 3/7 of the pages in her 112-page book. How many pages has she read already?
Answer:
48 pages
Step-by-step explanation:
112÷7=16 so 3x16=48
Find the measure of the indicated angle to the nearest degree (whole number).
39
36
15
Answer:
I think 39
Step-by-step explanation:
there are 20 kids in your class and 13 of them are car riders. How many are bus
The Graisers invested $500 at 6.5% compounded continuously. Find the value of the investment after 7 years? When will the investment triple in value?
Answer:
$788.05 is the value after 7 years. it would take 17 years to triple in value.