Answer:
20
Step-by-step explanation:
if the container can only hold 3000 pounds, and all of the boxes weigh 150 pounds, then you divide 3000 by 150 to find how many boxes can fit.
3000 divided by 150 = 20
hope this helps! :)
Answer:
20
Step-by-step explanation:
\(divide\) 3,000 ÷ 150≈20 To check do 20×150 and you should get the answer 3,000Find the measure of angle A.
Please help??
Answer:
4
Step-by-step explanation:
Answer:
Creo que es 40
Step-by-step explanation:
80+15x+(11x-4)=180
26x=104
x=4
Entonces
11x-4 --> 11*4-4 = 40
i need help on the vocabulary
Answer:
↓
Step-by-step explanation:
1) D
2) A
3) B
4) C
Find the equation of the following lines a) parallel to 6x+5y=1 and passing through (4,-2). b) perpendicular to 3x-2y=3and passing through (3,-7) c) whose perpendicular distance is of length 3units and at 60°from the x axis
y = (-6/5)x + 14/5 is the equation of line parallel to 6x+5y=1 and passing through (4,-2)
y = (-2/3)x - 19/3 is the equation of perpendicular to 3x-2y=3 and passing through (3,-7)
To find the equation of a line parallel to the given line, we need to use the same slope.
The given line has the equation 6x + 5y = 1.
5y = -6x + 1
y = (-6/5)x + 1/5
The slope of this line is -6/5.
The parallel line must have the same slope, the equation of the line parallel to 6x + 5y = 1 and passing through (4, -2) is:
y - (-2) = (-6/5)(x - 4)
y = (-6/5)x + 14/5
To find the equation of a line perpendicular to the given line, we need to use the negative reciprocal slope.
-2y = -3x + 3
y = (3/2)x - 3/2
The slope of this line is 3/2.
The negative reciprocal of 3/2 is -2/3.
So, the equation of the line perpendicular to 3x - 2y = 3 and passing through (3, -7) is:
y - (-7) = (-2/3)(x - 3)
y = (-2/3)x - 19/3
The line is at an angle of 60° from the x-axis, the slope can be determined using the tangent of 60°, which is √3. So, the slope (m) is √3.
To find the y-intercept (c), we can use the point-slope form of a line. Since the perpendicular distance is 3 units
Let's choose (0, 3) as a point on the line.
Using the point-slope form, we have:
y - 3 = √3(x - 0)
y - 3 = √3x
y = √3x + 3
Therefore, the equation of the line is y = √3x + 3.
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Abby has 12 quarters in her piggy bank. Estimate how many cents she has by rounding the number of quarters to the nearest ten.
honestly i was a little confused with the way this question was worded so please tell me if i did something wrong or if i didn't explain/understand this right!
answer:
3 dollars or 300 cents
step-by-step explanation:
well we know that 4 quarters equal one whole dollar so what i did was divide 12 by 4 to get 3 whole dollars
12/4
= 3 dollars
and we know that 100 pennies equal one whole dollars, all you need to do was multiply 3 dollars by 100 pennies
3 * 100
= 300 pennies
showing you that abby has 300 cents in her piggy bank
hope this help and if you need anymore then just ask me!
When two coins are tossed at the same time, what is the theoretical probability of an outcome of one head and one tail?1/21/33/41/4
To find the proability we need to remember the product rule of proabbility that states that:
\(P(A\cap B)=P(A)P(B)\)in this case event A is "getting head" and event B is "getting tail"; we know that each of this events have a proability of 1/2, then:
\(P(A\cap B)=\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{4}\)Therefore the probability we are looking for is 1/4.
A pyramid with a square base has a volume of 119.07 cubic meters and a height of 9 meters. Find the side length of the square base.
The square base's side length is approximately 5.98 metres.
Using the formula for a pyramid's volume, we can get the side length of the pyramid's square base:
V = (1/3) * base_area * height
In this case, the volume of the pyramid is given as 119.07 cubic meters, and the height is given as 9 meters. Let's denote the side length of the square base as 's'. The base area may be determined using the formula because the base is square:
When the values are entered into the formula, we obtain:
119.07 = (1/3) * \(s^2\) * 9
To solve for \(s^2\), we can multiply both sides of the equation by 3/9:
(3/9) * 119.07 =\(s^2\)
Simplifying the left side:
35.721 =\(s^2\)
We can take the square root of both sides to determine the side length:
√35.721 = \(√s^2\)
s ≈ 5.98
As a result, 5.98 metres is about how long each side of the square base should be.
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the value of y varies directly with X. Which function represents the relationship between X and Y if y equals 15/6 when x equals 20
Answer:
y = (1/8)x
Step-by-step explanation:
The relevant basic formula is y = kx, where k is the constant of proportionality.
We must find k. To do this, let y = 15/6 and x = 20 in the above formula:
15/6 = k(20)
We solve for k by dividing both sides by 20: 15/(6*20) = k = 1/8
Then the specific formula for this situation is y = (1/8)x
A student randomly selected animal crackers from a large box of animal crackers. Below is the number of each animal the student selected. If the student were to select one animal cracker from the box, what is the probability of selecting a lion?
Answer:
if i knew the answer i would say it but i need it to
Step-by-step explanation:
What is the rule for the following sequence of numbers: 2, 7, 17, 37, ?
Answer:
The rule is "add 5, add 10, add 20" and the rule keeps doubling.
In how many ways can we seat 3 pairs of siblings in a row of 7 chairs, so that nobody sits next to their sibling
Answer:
1,968
Step-by-step explanation:
Let x₁ and x₂, y₁ and y₂, and z₁ and z₂ represent the 3 pairs of siblings, and let;
Set X represent the set where the siblings x₁ and x₂ sit together
Set Y represent the set where the siblings y₁ and y₂ sit together
Set Z represent the set where the siblings z₁ and z₂ sit together
We have;
Where the three siblings don't sit together given as \(X^c\)∩\(Y^c\)∩\(Z^c\)
By set theory, we have;
\(\left | X^c \cap Y^c \cap Z^c \right |\) = \(\left | X^c \cup Y^c \cup Z^c \right |\) = \(\left | U \right | - \left | X \cup Y \cup Z \right |\)
\(\left | U \right | - \left | X \cup Y \cup Z \right |\) = \(\left | U \right | - \left (\left | X \right | + \left | Y\right | + \left | Z\right | - \left | X \cap Y\right | - \left | X \cap Z\right | - \left | Y\cap Z\right | + \left | X \cap Y \cap Z\right | \right)\)
Therefore;
\(\left | X^c \cap Y^c \cap Z^c \right | = \left | U \right | - \left (\left | X \right | + \left | Y\right | + \left | Z\right | - \left | X \cap Y\right | - \left | X \cap Z\right | - \left | Y\cap Z\right | + \left | X \cap Y \cap Z\right | \right)\)
Where;
\(\left | U\right |\) = The number of ways the 3 pairs of siblings can sit on the 7 chairs = 7!
\(\left | X\right |\) = The number of ways x₁ and x₂ can sit together on the 7 chairs = 2 × 6!
\(\left | Y\right |\) = The number of ways y₁ and y₂ can sit together on the 7 chairs = 2 × 6!
\(\left | Z\right |\) = The number of ways z₁ and z₂ can sit together on the 7 chairs = 2 × 6!
\(\left | X \cap Y\right |\) = The number of ways x₁ and x₂ and y₁ and y₂ can sit together on the 7 chairs = 2 × 2 × 5!
\(\left | X \cap Z\right |\) = The number of ways x₁ and x₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!
\(\left | Y \cap Z\right |\) = The number of ways y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 5!
\(\left | X \cap Y \cap Z\right |\) = The number of ways x₁ and x₂, y₁ and y₂ and z₁ and z₂ can sit together on the 7 chairs = 2 × 2 × 2 × 4!
Therefore, we get;
\(\left | X^c \cap Y^c \cap Z^c \right |\) = 7! - (2×6! + 2×6! + 2×6! - 2 × 2 × 5! - 2 × 2 × 5! - 2 × 2 × 5! + 2 × 2 × 2 × 4!)
\(\left | X^c \cap Y^c \cap Z^c \right |\) = 5,040 - 3072 = 1,968
The number of ways where the three siblings don't sit together given as \(\left | X^c \cap Y^c \cap Z^c \right |\) = 1,968
\(g(x) = 3 log(x + 7) - 8\)is this function increasing or decreasing?
Given function : g(x)=3log(x+7) -8
A function is said to be increasing if the derivative of the function is greater than 0,
and it said to be decreasing tof the derivative of the function is less than 0,
Differentiate the given function with respect to x,
\(\begin{gathered} g(x)=3\log (x+7)-8 \\ \frac{dg(x)}{dx}=\frac{d(3\log (x+7)-8)}{dx} \\ g^{\prime}(x)=3\frac{d\log (x+7)}{dx}-\frac{d(8)}{dx} \\ g^{\prime}(x)=\frac{3}{x+7}-0 \\ g^{\prime}(x)=\frac{3}{x+7} \\ \text{ since if x}>7\text{ then the function will be negative, } \\ g^{\prime}(x)<0, \\ \text{thus function at }7Answer :at x >7 , the function g(x) will be decreasing
at x <7 the function g(x) will be increasing.
scores on an exam follow an approximately normal distribution with a mean of 74.3 and a standard deviation of 7.4 points. what percent of students scored below 70 points?
If scores on an exam follow an approximately normal distribution with a mean of 74.3 and a standard deviation of 7.4 points, approximately 28.19% of students scored below 70 points on the exam.
To find the percentage of students who scored below 70 points on the exam, we need to calculate the area under the normal distribution curve to the left of 70.
First, we need to standardize the score of 70 using the formula z = (X - μ) / σ, where X is the score, μ is the mean, and σ is the standard deviation.
z = (70 - 74.3) / 7.4 = -0.5811
We can then use a standard normal distribution table or a calculator to find the area under the curve to the left of z = -0.5811. This area corresponds to the percentage of students who scored below 70 points on the exam.
Using a standard normal distribution table or calculator, we can find that the area to the left of z = -0.5811 is approximately 0.2819.
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which graph represents f(x) =3x-2
The graph that represents f(x) =3x-2 is the graph (b)
Which graph represents f(x) =3x-2From the question, we have the following parameters that can be used in our computation:
The equation: f(x) = 3x - 2
From the above equation, we have
f(x) = 3x - 2
The above equation is a linear function with the following features
Slope = 3
y-intercept = -2
This means that the graph intersects with the y axis at y = -2
Using the above as a guide, we have the following:
The graph intersects with the y axis at y = -2 and has a slope of 2 is graph (b)
Hence, the graph that represents f(x) =3x-2 is graph (b)
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The quantities xxx and yyy are proportional.
xxx yyy
222 222222
777 777777
999 999999
The value of y when x is 9 for the proportional relationship between is 31.5.
What is constant of proportionality?The constant of proportionality is used to show the proportional relationship between the numbers given.
In this case, when x is 2, y is 7. This will be illustrated thus:
y = kx
7 = 2k
Divide
k = 7/2
k = 3.5
Therefore, when x is 9, the value of y will be:
y = kx
y = 3.5 × 9
y = 31.5
Therefore, y is 31.5.
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Please solve... I will mark you brainliest
Answer:
x = 5
Step-by-step explanation:
\(6x - 20 = 2x \\ - 20 = 2x - 6x \\ - 20 = - 4x \\ \frac{ - 20}{ - 4} = x = 5\)
I really need help with this, it's my last question. Please help!
Answer:
The measure of Angle M = 74.8°
Step-by-step explanation:
Cos(x) = \(\frac{adjacent}{hypotenuse}\)
Cos(x) = \(\frac{26}{99}\)
x = Cos⁻¹(\(\frac{26}{99}\))
x = 74.8°
So the measure of Angle M = 74.8°
Hope this helps!
Answer:
Trigonometry
since we have the adjacent and the hypotenuse we use CAH .We are looking for the angle we take the cos inverse
cos x = A
H
cos x = 26
99
x = cos -1 (26 ÷ 99)
x = 74.77404748
x= 74.8
Write a word problem with 1/2
as the dividend and 3 as the divisor. Then find the quotient.
[] Dividend is the number being divided
[] Divisor is the number being divided into
Word problem:
I have 1/2 of a cake left over from my birthday party. If I want to share it with 3 friends, how much of the cake does everyone get?
Solving:
1/2 / 3
\(\frac{1}{2} * \frac{1}{3}\)
\(\frac{1}{6}\)
Everyone will get \(\frac{1}{6}\) of the cake.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
question is in the picture
Answer:
18 tables: $143
t tables: $35 + $6t
Step-by-step explanation:
35 + 6t
35 + 6(18) = 35 + 108 = 143
4x+10=-26 two-step equation
Answer:
x = -9
Step-by-step explanation:
4x+10=-26
Subtract 10 from each side
4x+10-10=-26-10
4x = -36
Divide each side by 4
4x/4 = -36/4
x = -9
Hello there I would like to see if you can help me with question 2 please. This is just a practice test it’s not graded just want to see if I work out the problem the right way.
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
automobile rental agency:
number of station wagons rented
Step 02:
Variance and standard deviation:
Calculation Table:
variance:
\(s^2=\frac{\sum ^n_{i\mathop=1}(xi-x^-)^2}{n}\)s² = 116. 3 / 30 = 3.877
Standard deviation:
\(s\text{ = }\sqrt[]{s^2}=\sqrt[]{3.877}=1.97\)The answer is:
variance = 3.877
standard deviation = 1.97
if the work required to stretch a spring 3 ft beyond its natural length is 12 ft-lb, how much work (in ft-lb) is needed to stretch it 9 in. beyond its natural length?
The answer is 3 ft-lb.
What is the natural length of a spring?The spring's length without any attached mass is its natural length. Assuming the spring abides with Hooke's law The spring exerts a force Fs=kL if its length is altered by an amount L from its normal length, where k is a positive quantity known as the spring constant.W = 12kx2 is the amount of work required to stretch a spring x distances from its equilibrium point. Calculation information: (a) The formula is as follows: F = mg = (4 kg)(9.8 m/s2) = 39.2 N. x = 0.025 m.The spring's length at equilibrium is the length it has when no external forces are exerting any force on it. This is how spring naturally exists.
Beyond its natural length:
Work done to strech the spring to a lentgh x = 0.5 * k * x^2
Now;
12 = 0.5 * k * 9
k = 8/3 = 2.667
9 in = 1.5 ft
Work needed to stretch it 9 in. beyond its natural length = 0.5 * 2.667 * 1.5*1.5 = 3 ft-lb
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1. Markov chains (a) Assume a box with a volume of 1 cubic metre containing 1 red particle (R) and 1 blue particle (B). These particles are freely moving in the box and we assume that they are perfectly mixed. We know that when they collide, blue and red particle stick to one another and form a compound particle RB. After a certain amount of time, RB decays again into one R and one B particle. R do not stick to R particles and B particles do not stick to B. After observing the system for a long time, we note that the RB particles remain together on average for 4 seconds before they decay. Equally, on average we wait for 1 second before particles R and B bind. Assume now that we have a box with 2 cubic metres volume and we seed the system with 3 R and 3 B particles. Interpret this system as a Markov chain assuming that particles of the same type are indistinguishable. Draw the transition diagram. In your answer, make sure that you make clear what each state means, and that you label the edges with the transition rates.
A Markov chain is a stochastic process in which the likelihood of an event happening is dependent solely on the outcome of the previous event. In a Markov chain, the future is independent of the past given the present.
Here, the Markov chain is described as a system that includes 1 red particle (R) and 1 blue particle (B) in a 1 cubic meter box.
When the R and B particles collide, they stick together and form a compound particle RB, which decays after a period of time into one R and one B particle.
The R particles do not adhere to other R particles, and the same is valid for B particles, which do not adhere to other B particles.
We observe that, on average, the RB particles stay together for 4 seconds before decaying, and the R and B particles stick together after waiting for 1 second.
We then consider a 2 cubic meter box containing 3 R and 3 B particles. This system can be interpreted as a Markov chain, with the states being the number of R and B particles.
The state is labeled by the number of red and blue particles present in the system at any given time, such as (2, 3) refers to the state with two red and three blue particles present in the box.
If we start with (3, 3), we can move to either (2, 3) or (3, 2) with equal probability.
The corresponding transition rate would be $3/2$ seconds per transition. After that, we could move to either (2, 2) or (1, 3) or (3, 1), with the corresponding transition rate being $3/4$ seconds per transition.
Finally, we could move to (2, 3) or (3, 2), with the corresponding transition rate being 4 seconds per transition. This is how the system can be interpreted as a Markov chain.
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Translate The difference between a number squared and 14 is 50
Answer:
\(x^{2} - 14 = 50\)
Step-by-step explanation:
Let x = Unknown number
Number squared = \(x^{2}\)
Difference between the number squared and 14 is 50:
= \(x^{2} - 14 = 50\)
= \(x^{2} = 14 + 50\)
= \(x^{2} = 64\)
(NOTE: It cannot be \(14 - x^{2} = 50\) since:
\(x^{2} = 14 - 50\) which would mean \(x^{2} = -36\) and a square of a number CANNOT be a negative number)
Taking the square root of both sides to get rid of the square:
= \(x = \sqrt{64}\)
= x = ±8
Solve for x. Use the completing the square method.
Answer:
Step-by-step explanation:
x=-4±√23
Answer:
x=-4±√23
Step-by-step explanation:
Solving an equation to find the value of an expression
Answer:
14
Step-by-step explanation:
Starting with 11x-3=8:
Add 3 to both sides:
11x = 11
Divide both sides by 11:
x = 1
Now we can substitute x=1 into 6x+8:
6(1)+8 = 6+8 = 14
Answer:
Step-by-step explanation:
First, solve for x.
11x - 3 = 8
+3 +3
11x = 11
/11 /11
x = 1
Then, plug in the value for x.
6 (1) + 8
= 14
what do you add to 4 1/7 to make 6
Answer:
Step-by-step explanation:
4 1/7 = 29/7
6 = 42/7
What you need to add to 4 1/7 is:
6 - 4 1/7
42/7 - 29/7
13/7.
In mixed fractions, it's 1 6/7.
:) pls help with probability
Probability is a fundamental concept in statistics and is used to make predictions, estimate risks, and make decisions in various fields such as finance, sports, medicine, and engineering.
We have,
Probability is a measure of how likely an event is to occur.
It is a way of quantifying uncertainty and making predictions based on incomplete information.
For example,
When we toss a fair coin, there are two possible outcomes: heads or tails. Since the coin is fair, each outcome has an equal chance of occurring, so the probability of getting heads is 1/2 or 50%, and the probability of getting tails is also 1/2 or 50%.
Another example of probability is when we roll a six-sided die.
There are six possible outcomes, each of which has an equal chance of occurring.
Therefore, the probability of rolling a specific number, say 4, is 1/6 or approximately 17%.
Thus,
Probability is a fundamental concept in statistics and is used to make predictions, estimate risks, and make decisions in various fields such as finance, sports, medicine, and engineering.
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Is this true or false?
Answer:
true
Step-by-step explanation:
yas
Please help! Answer as many as possible!
Answer:
4 is four hundred and eight
explain how multiplying 4/10 and 3/10 is similar to multiplying 0.4 and 0.3 (please only answer if you for sure know the answer!!)