The number of calls recelved by an office on Monday morning between 8.00 AM and 900 AM has a mean of 5 . Calcukte the probability of getting exadily 4 calls between elght. and nine in the morning. Round your answer to foue decimal places
Therefore, the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM is approximately 0.1755, rounded to four decimal places.
To calculate the probability of getting exactly 4 calls between 8:00 AM and 9:00 AM, we need to use the Poisson distribution formula. The Poisson distribution is commonly used to model the number of events occurring in a fixed interval of time or space. In this case, the mean (λ) is given as 5. The formula for the Poisson distribution is:
P(X = k) = (e*(-λ) * λ\(^k\)) / k!
Where:
P(X = k) is the probability of getting exactly k calls
e is the base of the natural logarithm (approximately 2.71828)
λ is the mean number of calls (given as 5)
k is the number of calls (in this case, 4)
k! is the factorial of k
Let's calculate the probability using the formula:
P(X = 4) = (e*(-5) * 5⁴) / 4!
P(X = 4) ≈ 0.1755
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Solution or no solution?
Find the GCF for 40 and 48 *
can someone help me im doing it the venn diagram way for my test plssssss
Answer:
8
Step-by-step explanation:
light travels 3000000 scs if earth is 150 million km away from sun how many minutes it will take the light to come from sun to earth
Now
\(\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}\)
\(\\ \rm\longmapsto Time=\dfrac{Distance}{Speed}\)
\(\\ \rm\longmapsto Time=\dfrac{150\times 10^6}{3\times 10^5}\)
\(\\ \rm\longmapsto Time=50\times 10^1\)
\(\\ \rm\longmapsto Time=500s\)
\(\\ \rm\longmapsto Time=8.33min\)
Can be written as 8min 20s.Can someone plz help me with this one problem plz I’m being timed!!!!!
Answer:
#2
Step-by-step explanation:
type the equation in2 the desmos graphing calculator
What is the value of x
I will give brainliest
Answer:
52
Step-by-step explanation:
answer = fifty two
x = 52
Answer:
X+90+90+128=360(total sum of quadrilateral)
X+180+128=360
X+308=360
X=360-308
X=52
pitso went to buy ingredients for 48 minutes and came back at 16h15 .his friend claimed that he left half past 3p.m . verify hisd. claim
Answer:
His claim is false.
Step-by-step explanation:
People put nasty fake answers, so I will answer your question here. 16h15 minus 45 minutes is 15h30. If he was gone 48 minutes, he left at 15h27m
What's the quotient to 2,247 divided by 7 using long division? Please hurry I only have an hour or two
The quotient is 321. There are no remainders.
From the given long division quotient is 321 and the remainder is 0.
Given that, 2247 divided by 7 using long division.
The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Here, 2247/7
7|2247|321
21
______
0147
14
______
07
07
______
00
Here, quotient = 321 and remainder = 0
Therefore, from the given long division quotient is 321 and the remainder is 0.
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we have discussed four tree-based methods: decision trees, bagging, random forests, and boosting. which approach relies on bootstrapped samples, i.e., taking repeated random samples with replacement from the training data? check all that apply.
The correct answer is boosting.
Given that,
The four tree-based techniques are boosting, bagging, random forests, and decision trees. Which method uses bootstrapped samples, or the process of repeatedly obtaining random samples from training data and replacing them?
Boosting is an emsemble machine learning approach, where we use bootstrapping sampling technique to get the required samples. It helps in the reduction of variance and thus bring in less bias in the sampling approach. Therefore boosting is the correct answer here.
In order to gather the necessary samples for boosting, we employ the bootstrapping sampling technique. It aids in lowering variance, which reduces bias in the sampling strategy. Thus, boosting is the appropriate response in this case.
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Cual es la constante de proporcionalidad de 1/2 ?
Answer:
Therefore, the relationship given in the table is proportional. When we look at the above table when x gets increased, y also gets increased, so it is direct proportion. Substitute 2 for x and 1 for y. So, the constant of proportionality is 1/2.
9 g = 207
g=___? Helppp!
Answer:
g = 23
Step-by-step explanation:
Divide 207 / 9 = 23
Answer:
G=120
Step-by-step explanation:
A chocolate factory produces 19,56,870 chocolates in 2009. it produced 2,67,002 variety with coffee flavour; 6,54,512 with nuts; 3,21,785 with wafer and the rest were caramel flavour. how many chocolates were caramel flavoured
The number of chocolates that were caramel flavored is 7,13,571.
To find the number of chocolates that were caramel flavored, we can subtract the number of chocolates with the other three flavors from the total number of chocolates produced:
The total number of chocolates produced in 2009 was 19,56,870.
The number of chocolates produced with coffee flavour was 2,67,002, with nuts was 6,54,512, and with wafer was 3,21,785.
Therefore, the total number of chocolates produced with these three flavours is,
2,67,002 + 6,54,512 + 3,21,785 = 12,43,299.
To find out how many chocolates were caramel flavoured, we need to subtract this number from the total number of chocolates produced:
19,56,870 - 12,43,299
Total number of chocolates produced = 19,56,870
Number of chocolates with coffee flavor = 2,67,002
Number of chocolates with other flavors = Number of chocolates produced - (Number of chocolates with coffee flavor + Number of chocolates with nuts + Number of chocolates with wafer)
Number of chocolates with other flavors = 19,56,870 - (2,67,002 + 6,54,512 + 3,21,785)
Number of chocolates with other flavors = 19,56,870 - 12,43,299
Number of chocolates with other flavors = 7,13,571
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4 ice cream cones cost $6. At this rate, how much do 7 ice cream cones cost?
this is a test for middle schoolers but anyone is free to answer
Answer:
$42
Step-by-step explanation:
Equation: y = 6x
x = number of ice cream cones
y = 6(7) = 42
Hi! I believe your answer is $10.50. If it's $6 for 4 ice cream cones, divide 6 by 4 and you'll get 1.5, or $1.50 per ice cream cone. For 7 ice cream cones, multiply the unit rate ($1.50 per ice cream cone) by 7. The total cost is $10.50. I hope this helps you! Good luck and have a great day. ❤️✨
Neil likes to walk on the beach and look for sand dollars. He has a collection of 1,056 sand dollars he has found over the years. Neil has found 7 times as many broken sand dollars as whole ones. How many broken sand dollars has Neil found?
Answer:
Neil has found 7 × 1,056 = 7,392 broken sand dollars.
write a functin that takes two integers x and y as parameters and returns the product of even numbers between x and y
To write a function that takes two integers x and y as parameters and returns the product of even numbers between x and y, you can use Python code:
The following Python can be used:
```python
def even_product(x, y):
result = 1
for num in range(x, y + 1):
if num % 2 == 0:
result *= num
return result
```
This function, called `even_product`, accepts two parameters, `x` and `y`. It initializes a variable named `result` with a value of 1. The `for` loop iterates through the numbers in the range from `x` to `y`, inclusive. If a number (`num`) is even (determined by checking if the remainder of the division of `num` by 2 is equal to 0), the function multiplies the current `result` value by that even number (`result *= num`). After iterating through all the numbers in the range, the function returns the final `result`, which represents the product of even numbers between `x` and `y`.
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okie i don’t know how to solve this and i just want to understand how to answer this problem or can someone possibly give me the answers one answer is correct from a-d
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data:
pyramid side:
h = 3.25 ft
b = 2.5 ft
square base:
s = 2.5 ft
gallon of gold paint:
400 ft²
Step 02:
surface area:
square base area:
A = s² = (2.5 ft)² = 6.25 ft²
total pyramid sides area:
A = (b * h) / 2
A = (2.5 ft * 3.25 ft) / 2 = 4.0625 ft²
total pyramid sides area = 4 * 4.0625 ft² = 16.25 ft²
total trophy area:
total trophy area = 6.25 ft² + 16.25 ft² = 22.5 ft²
maximum number of trophies:
maximum number of trophies = 400 ft² / 22.5 ft² = 17.78
The answer is:
square base area = 6.25 ft²
pyramid side area = 4.0625 ft²
total pyramid sides area = 16.25 ft²
total trophy area = 22.5 ft²
maximum number of trophies = 17
Question 1
Use the figure below to answer your the following question.
2 feet
The figure above is a cube. What is the total surface area of the cube?
A. 6 square feet
B. 20 square feet
C. 8 square feet
D. 24 square feet
Question 2
A campsite provides a locking rectangular box with the dimensions shown below to secure food from bears.
3 feet
5 feet
2 feet
What is the surface area of the box?
A. 30 square feet
B. 62 square feet
C. 31 square feet
D. 72 square feet
Question 3
Gina is painting the rectangular tool chest shown in the diagram below.
24 in.
12 in.
10 in.
If Gina paints only the outside of the tool chest what is the total surface area in square inches (in.²) she will paint
A. 368
B. 648
C. 1296
D. 2880
Question 5
A triangular prism is pictured below.
6cm
5cm
6.5cm
6.5cm
16cm
What is the surface area of the prism?
A. 240 cm²
B. 318 cm²
C. 270 cm²
D. 348 cm²
Answer 1:
D. 24 sq feet
The formula to find surface area of a cube is \(a=6a^{2}\)
Substitute 2 for a, \(2^{2} = 4\)
6 x 4 = 24, so 24 sq feet
Answer 2:
B. 62 sq feet
The formula to find surface area of a rectangular prism is \(a = 2(wl+wh+hl)\)
Substitute 3 for w, 5 for l, 2 for h and multiply
a = 62 sq feet
Answer 3:
C. 1296 sq inches
The formula to find surface area of a rectangular prism is \(a = 2(wl+wh+hl)\)
Substitute 24 for w, 12 for l, 10 for h and multiply
a = 1296 sq inches
whats a reasonable estimate for 529 divided by 23 ( explain your anwser )
Step-by-step explanation:
First you divide 529 and 23. You can divide 5w9 by 23 in a fraction like this 529/23 on to Desmos scientific calculator or just 529÷23 on a calculator. If it is a decimal, round it up if the tenth, hundredth, or thousandth is 5, 6, 7, 8, 9 or round down if the number is 4, 3, 2, and 1. The answer to 529÷23 is 23. And if you estimate it, it'll be 20. The next part may be a bit confusing but if you estimate 23, you'll get 25.
Then you estimate 529 and 23, you'll get 530 and 20. And if you divide them, you'll get 26.5. And if you estimate that, you'll get 27. So that means is 2 or 7 off from the estimated from the equation 529÷23. So that means the reasonable answer is probably 25 or 27.
Tell me if I'm right or not, and I'm sorry if I'm wrong because I don't know what answer I explained in the two paragraphs I wrote is right or wrong.
有一长方形的草地,长为360公尺,宽为250公尺。现在要在草地的四角和周围种树,树与树之间的距离要相等,且所种的树的数量要最小,问树与树之间的距离是多少?共种几棵树?
Answer:
37
Step-by-step explanation:
i just know
When registering their cars, owners must identify the color that covers the largest portion of the vehicle. In one region, the probability that car was mainly white was 0.24, the probability that it was mainly silver was 0.22 and the probability that it was mainly black was 0.19. In this region, are the events "silver" and "black" mutually exclusive? Find the probability that a randomly selected car from this region is mainly silver OR mainly black.
Answer:
0.41 probability
Step-by-step explanation:
0.22 + 0.19 = 0.41
Answer:Yes they are mutually exclusive!
0.22 + 0.19 = 0.41
James takes out a loan of 9000 euros which keeps on charging simple interest at a rate of 3% of the original amount per annum until it is cleared. James pays of 770 euros each year to reduce the loan. After how many years will James have fully cleared the loan?
James will fully clear the loan after approximately 12 years when the remaining balance reaches zero.
To determine the number of years it will take for James to fully clear the loan, we need to calculate the remaining balance after each payment and divide the initial loan amount by the annual payment until the remaining balance reaches zero.
The loan amount is 9000 euros, and James pays off 770 euros each year. Since the interest is charged at a rate of 3% of the original amount per annum, the interest for each year will be \(0.03 \times 9000 = 270\) euros.
In the first year, James pays off 770 euros, and the interest on the remaining balance of 9000 - 770 = 8230 euros is \(8230 \times 0.03 = 246.9\)euros. Therefore, the remaining balance after the first year is 8230 + 246.9 = 8476.9 euros.
In the second year, James again pays off 770 euros, and the interest on the remaining balance of 8476.9 - 770 = 7706.9 euros is \(7706.9 \times 0.03 = 231.21\) euros. The remaining balance after the second year is 7706.9 + 231.21 = 7938.11 euros.
This process continues until the remaining balance reaches zero. We can set up the equation \((9000 - x) + 0.03 \times (9000 - x) = x\), where x represents the remaining balance.
Simplifying the equation, we get 9000 - x + 270 - 0.03x = x.
Combining like terms, we have 9000 + 270 = 1.04x.
Solving for x, we find x = 9270 / 1.04 = 8913.46 euros.
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Solving Two Step Equations
9x + 6/3 = 5x + 2
Answer:
x = 0
Step-by-step explanation:
In this case it isn't exactly 2 steps, but you can still solve it.
First, simplify. Divide 6 with 3:
9x + (6/3) = 5x + 2
9x + 2 = 5x + 2
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 2 and 5x from both sides:
9x (-5x) + 2 (-2) = 5x (-5x) + 2 (-2)
9x - 5x = 2 - 2
4x = 0
Divide 4 from both sides of the equation to isolate the variable, x:
(4x)/4 = (0)/4
x = 0/4 = 0
x = 0 is your answer.
~
Answer:
4x+5
Step-by-step explanation:
9x+6/3=5x+2=9x-5x=4x+3+2=4x+4
At Memorial High School, 60 of the 240 freshmen students are on an athletic team sponsored by the school. If the ratio is the same for the sophomore class, how many of the 220 sophomores are NOT athletes
Answer:
165 students or the sophomore class of 220 are not athletic.
Step-by-step explanation:
60/240 = .25 This means that 25% of the class is athletic. That would mean and .75 or 75% are not athletic.
220 x .75 = 165
What Is The Order?
For The Variable Expressions
Answer:
I think it’s 4/n and 4 divided by n. Sorry if it’s wrong!
Step-by-step explanation:
Which is a solution of the inequality 7 ≤ −2x + 3 ?
A.) 1
B.) 2
C.) −2
D.) −1
Answer: x ≤ -2
Option C is correct
Answer:
x ≤ -2 then it is C) -2
Step-by-step explanation:
7 ≤ −2x + 3
2x+7 ≤ + 3
2x ≤ 3-7
2x ≤ -4
x ≤ -4/2
x ≤ -2
anyone here can someone help me plz plz I will give a Brainiest
Answer:
Change in Y over change in X. So down 8 and over 2. Simplified it would be 4/1
Brainliest to best answer, PLS HELPPP
Answer:
3n < 12.9
Step-by-step explanation:
Answer:
It's the last answer
Step-by-step explanation:
Find the value of x please
Answer:
x=54
Step-by-step explanation:
55+54= 109
180-109=71
x+17=71
=54
A rectangular prism with a volume of 101010 cubic units is filled with cubes with side lengths of \dfrac12
2
1
start fraction, 1, divided by, 2, end fraction unit.
How many \dfrac12
2
1
start fraction, 1, divided by, 2, end fraction unit cubes does it take to fill the prism?
Answer:
1
Each cube with side lengths of 1/4 have a volume of (1/4)3 which means each cube's volume is 0.015625 cubic units. To find how many cubes are needed to fill the prism, divide 3 cubic units by 0.015625 cubic units. Your answer will be 192 cubes.
2
1)( x^2+6x+9)/18 / (x+3)^2/36
x^2+6x+9=(x+3)^2
(x+3)^2/18 * 36/(x+3)^2=36/18=2
2) I'll factor the terms for you.
(2x+3)(x-4)/2(3+2x) * 2/(x-4)(x+4)
Do you see the common factors ?
3
start fraction, 1, divided by, 2, end fraction unit. As the volume of n cubes will be equal to volume of rectangular prism. Therefore, a rectangular prism will take 48 cubes with each side 1/2 units to fill the prism.
Hope this is helpful
Help my friend out?
Answer:
13. -2
14. 0
15. 2
16. 0
Step-by-step explanation:
Since the function is originally f(x), you go to wherever the x value is and see what the y value is.
So...
f(2) means go to x = 2 and see that y = -2