Answer:
The answer is "0.6227 and 0.5971".
Step-by-step explanation:
[tex]\to p(x\leq 2)=p(0)+p(1)+p(2)[/tex]
[tex]=e^{-2.2}(1+2.2^{1}+\frac{2.2^2}{2!})\\\\=0.6227[/tex]
[tex]\to x \sim emp(\frac{1}{2.2})\\\\\to f(x)=\frac{1}{2.2} emp1-\frac{x}{2.2}[/tex]
[tex]\to p(x \leq 2)=\int^{2}_{0} \frac{1}{2.2} emp1(-\frac{x}{2.2}\ dx[/tex]
[tex]=1-emp1-2|2.2\\\\=0.5971[/tex]
A candelabra holds 5 identical cylindrical candles, each with a diameter of 6 centimeters and a height of 9 centimeters. How many cubic centimeters of wax are in all the candles on the candelabra combined?
Answer: [tex]1272.51\ cm^3[/tex]
Step-by-step explanation:
Given
diameter of each candle is [tex]d=6\ cm[/tex]
The height of each candle is [tex]h=9\ cm[/tex]
The volume of a cylinder is [tex]V=\pi r^2h[/tex]
The volume of each candle is
[tex]\Rightarrow V=\pi \times 3^2\times 9\\\Rightarrow V=254.502\ cm^3[/tex]
For 5 candles it is
[tex]\Rightarrow 5V=1272.51\ cm^3[/tex]
Total wax used for 5 candles is [tex]1272.51\ cm^3[/tex]
A builder set up a wooden frame in which to pour concrete for a foundation to a house. The length of the wooden frame is 24 feet. The width is 32 feet. The diagonal is 40 feet. Which best describes the foundation?
Answer:
d) A foundation may be a rectangle : 24² + 32² = 40²
Step-by-step explanation:
P.S - The exact question is -
Given - A builder set up a wooden frame in which to pour concrete for a foundation to a house. The length of the wooden frame is 24 feet. The width is 32 feet. The diagonal is 40 feet.
To find - Which best describes the foundation?
a) A foundation can not be a rectangle : 24 + 32 ≠ 40
b) A foundation can not be a rectangle : (24 + 32)² ≠ 40²
c) A foundation can not be a rectangle : √24² + 32² ≠ 40²
d) A foundation may be a rectangle : 24² + 32² = 40²
Proof -
We have to check whether the shape of the frame is rectangle or not.
As we know that,
A diagonal divides the rectangle in two right angle triangles
So,
Given that Length = 24
Width = 32
Diagonal = 40
By applying Pythagoras theorem, we get
40² = 24² + 32²
So,
The correct option is - d) A foundation may be a rectangle : 24² + 32² = 40²
Write an equation of the line in slope-intercept form.
Answer: y = -0.5x + 1
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What is the volume of the rectangular prism?
3 cm
8 cm
2 cm
Answer:
54 centimeters
Step-by-step explanation:
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List the simple shapes into which you divided shape C, and measure their sides. Write all the measurements in inches.
Step-by-step explanation:
Perimeter is a measurement of the distance around a shape and area gives us an idea ... Understanding how much space you have and learning how to fit shapes ... If the shape is a polygon, then you can add up all the lengths of the sides to find the perimeter. ... You can write “in2” for square inches and “ft2” for square feet.
(8.4x10^3)-(6.4x10^2)
Write anserr in scientific notation
7/12 minus 1/6 gggggggggggggggggggg
Answer:
[tex] \frac{5}{12} [/tex]
Step-by-step explanation:
[tex] \frac{7}{12} - \frac{1}{6} \\ \\ = \frac{7}{12} - \frac{2}{12} \\ \\ = \frac{7 - 2}{12} \\ \\ = \frac{5}{12} [/tex]
Answer:
0.41666666666
or
5/12
Step-by-step explanation:
2. Sean burns 540 calories per hour when he runs. How many calories does he
burn if he runs for 1 14 hours? *
Your answer
How do you know?*
Your answer
Answer:
540 times the hours he runs
Step-by-step explanation:
Simply just 540 times the hours he runs
Joshua buys a bunch of watermelons for $7.75. He plans on feeding his friends watermelon as a snack, and there will be 15 people to feed. What is the unit price for one serving of watermelon? The unit price for 1 serving of watermelon is (round to the hundredths place):
Answer:
$0.52
Step-by-step explanation:
To find the unit cost of one serving of watermelon, divide the price of the bunch of watermelons by the number of people to be fed
unit price = price of the bunch / total people to be fed
$7.75 / 15 = $0.52
At lunch, Allan drank 2 pints of chocolate milk. How many fluid ounces is this equal to? i need answer asap
Answer:
32 pints
Step-by-step explanation:
find the mean and median weights of these cats.
Answer:
ok!
Step-by-step explanation:
the mean is 8.125 and the median is 7
The sum of two consecutive numbers is 35. What is the smallest number?
my question is what is x-4<6 i dont know inequalities
Answer:
x=6+4
x<10
(-∞,10)
Step-by-step explanation:
Inequalities are the greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
. A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. An urban forest has 1,650 large and small trees. Together, these trees remove 1,818 kg of pollution each year. Which system of equations could be used to find the number of large and small trees in the forest?
Answer:
The system of equations are:
s + b = 1650.... Equation 1
0.04s + 1.5b = 1818........ Equation 2
The number of
Small trees = 450 trees
The number of Big trees = 1200 trees
Step-by-step explanation:
From the above question
Small trees = s
Large trees = b
An urban forest has 1,650 large and small trees.
Hence,
s + b = 1650.... Equation 1
s = 1650 -b
A large tree, b, removes 1.5 kg of pollution from the air each year. A small tree, s, removes 0.04 kg of pollution each year. Together, these trees remove 1,818 kg of pollution each year.
Hence:
0.04s + 1.5b = 1818........ Equation 2
We substitute 1650 - b for s
0.04(1650 - b) + 1.5b = 1818
66 - 0.04b + 1.5b = 1818
- 0.04b + 1.5b = 1818 - 66
1.46b = 1752
b = 1752 ÷ 1.46
b = 1200 trees
Solving for x
1650 - b = s
s = 1650 - 1200
s = 450 trees
finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number
Answer:
this is your answer look it once
Write the linear equation in slope-intercept form given the following: (-4, 6); slope = -3/4
Answer:
6=-3/4x+(-4)
Step-by-step explanation:
The equation of any straight line, called a linear equation, can be written as: y= mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis. So for the given information you can see that they gave you your slope of -3/4 so you fill that in under the m. The point that would cross the y axis would be -4 because when you think of it on a graph you would see it as (-4 y) and (6 x). When you are writing linear equations you use the form y=mx+b.
Hope this helps
What is the value of x? 6 9 12 15
Answer:
yall its 9 i got it right on the test in edg
Step-by-step explanation:
The value of the variable 'x' in the arithmetic sequence 6, 9, 12, 15, x, .... will be 18.
What is an arithmetic sequence?A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.
Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The sequence is given as,
6, 9, 12, 15, x, .....
The common difference between the succession term remains constant. Then the equation is given as,
15 - 12 = x - 15
Simplify the equation, then we have
15 - 12 = x - 15
3 = x - 15
x = 15 + 3
x = 18
The value of the variable 'x' in the arithmetic sequence 6, 9, 12, 15, x, .... will be 18.
More about the arithmetic sequence link is given below.
https://brainly.com/question/12373434
#SPJ6
The complete sequence is given below.
6, 9, 12, 15, x, ......
12x - 6y = 13
8x - 4y = -21
Answer:
24
Step-by-step explanation:
24
May someone help thank you so much
Answer:
<A=135°
now
3x+6+x+2=180
sum of two opposite angle of the cyclic quadrilateral is 180
4x=180-8
x=172/4=43°
<A=3×43+6=135° is your answer
What is the radius of a circle that has a sector area of 4 pi cm^2 and a central angle of 1pi/2 radians?
a.4
b.5
c.3pi
d.4pi
Answer:4
Step-by-step explanation:
which of the following situations could be modeled by an exponential function?
A. The water level of a tank decreases by 5 gallons every day.
B. The amount of money collected by a charity increases by $5,000 each year.
C. A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
D. The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.
Answer: Option D.
Step-by-step explanation:
An exponential function is something like:
f(x) = A*(r)^x
Where:
A = initial amount.
r = rate of growth
x = variable.
This type of function is used to describe situations like "you have A dollars, and it increases by 30% each week"
or:
"There is a population of A animals, and it doubles each year"
Let's analyze briefly all the given options and see which one is an exponential function.
A) The water level of a tank decreases by 5 gallons every day.
This is a linear relation, if W is the initial amount of water, and x is the number of days, then the water level of the tank after x days is:
y = W - 5 gal*x
B) The amount of money collected by a charity increases by $5,000 each year.
The amount collected increases $5000 each year.
Then if in year 1 they collected A.
in year 2 they collected A + $5000
in year 3 they collected A + 2*$5000
We already can see the pattern, this is a linear relation:
in year X they colected A + (X - 1)*$5000
C) A tree was 10 feet tall when purchased and grows at a rate of 2 feet per year.
if y is the height of the tree, and x is the number of years, this can be written as:
y = 10ft + x*2ft
Again, a linear relation.
D) The number of people in a stadium is decreasing at a rate of 45% every 10 minutes.
Let's define x as each "lapse" of 10 minutes that passes.
If N is the initial number of people in te stadium, then after 10 minutes the number of people is = N*(1 - 45%/100%) = N*(1 - 0.45) = N*0.55
After another 10 minutes, the population decreases again.
N*0.55*(1 - 45%/100%) = N*0.55*0.55 = N*0.55^2
We can see the pattern here, this can be written as
People(x) = N*(0.55)^x
This is an exponential function.
QUICK QUICK QUICK 7 MINUTE
Answer:
p is the answer!!!!!!!!!!!!!
Solve the equation.
2t – 5 = -10
t
Answer: (2t - 5) • (t - 1) - 2 = 0
t=3
Step-by-step explanation:
please and thank you
Answer:
B
Step-by-step explanation:
ABC:
A = 10 degrees
B = 145 degrees
145 + 10 = 165
180 - 165 = 15 degrees
C = 15 degrees
MNP:
M = 145 degrees
N = 15 degrees
P = so therefore, P is 165 degrees
MNP is similar to ABC
What is 934-1?
Please answer the question so it doesn't get taken down but...
I really need a friend rn. So can someone add me on one of these...
Discord: Fraser#6900
Instagrаm: trulyfraser
Thanks :)
Answer:
it's 933
sorry i dont have discord insta.gram or any social media but i can add you on here
The Martinez Family has driven 240 miles so far. Their total trip is 300 miles. What percentage of the trip have they already driven
Answer:
90%
Step-by-step explanation:
Answer:
80%
Step-by-step explanation:
Answer this question to get marked as brainliest plus 20 points!!!!!
Answer:
A. 91°Step-by-step explanation:
∠A ≅ ∠B as vertical angles∠B + 47° + 42° = 180° (straight angle)∠B = 180° - 89° = 91°∠A = ∠B = 91°Help I’m super confused and help would be appreciated!
Answer: 50 degrees
Step-by-step explanation: the total degree is 90 90-40=50
3. Determine the slope of the line that has the following coordinates: (-3, 6) (4,-2)
-8/7
8/7
-7/8
12/7
Answer:
-8/7
Step-by-step explanation:
(-3, 6) & (4,-2)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-2 - 6) / (4 - (-3))
Simplify the parentheses.
= (-2 - 6) / (4 + 3)
= -8 / 7
Simplify the fraction.
= -8/7
This is your slope.
Hope this helps!