A right circular cone is a radius 5 inches and height 8 inch
[tex]\huge{ \mathcal{ \underline{ Answer} \: \: ✓ }}[/tex]
The given values are :
height (h) = 8 in radius (r) = 5 inWe know,
[tex] \large\boxed{ \mathrm{slant \: \: height} = \sqrt{h {}^{2} + r {}^{2} } }[/tex]
[tex]l = \sqrt{ {h}^{2} + r {}^{2} } [/tex][tex]l = \sqrt{8 {}^{2} + {5}^{2} } [/tex][tex]l = \sqrt{64 + 25} [/tex][tex]l = \sqrt{89}[/tex]Now,
[tex] \large \boxed{\mathrm{lateral \: \: surface \: \:a rea } = \mathrm{\pi rl}}[/tex]
[tex]\pi \times 5 \times \sqrt{89} [/tex][tex] \mathrm{5\pi \sqrt{89 } \: \: in {}^{2} }[/tex]Therefore the correct answer is :
D. 5π√89 in²
_________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
The lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches
How to calculate the lateral area of the cone?The formula for calculating the lateral area of the cone is expressed as:
V = 1/3πr²h
where:
r is the radiush is the heightGiven the following
r = 5in
h = 8n
Substitute
L = πrl
L = 5π(√8^2+5^2)
L = 5π(√89)
Hence the lateral surface area of the cone with a radius 5 inches and height 8 inch is 5(√89)π square inches
Learn more on lateral area here: https://brainly.com/question/1601740
What value of m will m+9, 2m-1, and 2m+7 are the consecutive terms of an
arithmetic progression?
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Answer:
m = 18
Step-by-step explanation:
In an arithmetic progression, the middle term of three is half the sum of the terms on either side.
a1 +a3 = 2(a2)
(m +9) +(2m +7) = 2(2m -1)
3m +16 = 4m -2 . . . . . . collect terms
18 = m . . . . . . . . . . . . . . add 2-3m
Consider a normal distribution of values with a mean of 32 and a standard
deviation of 1.5. Find the probability that a value is less than 36.8.
Anyone know?
Answer: The probability that a value is less than 36.8 is 0.9993.
Step-by-step explanation:
Let X be the random variable that normally distributed.
Given: [tex]\mu=32,\sigma=1.5[/tex]
The probability that a value is less than 36.8 = [tex]P(X<36.8)[/tex]
[tex]=P(\frac{X-\mu}{\sigma}<\frac{36.8-32}{1.5})\\\\=P(Z<3.2)\ \ \ [Z=\frac{X-\mu}{\sigma}]\\\\=0.9993[/tex][Using P-value calculator]
Therefore, The probability that a value is less than 36.8 is 0.9993.
Fill in the blanks. Suppose the probability at a light bulb factory of a bulb being defective is 0.11. If a shipment of 133 bulbs is sent out, the number of defective bulbs in the shipment should be around __________, give or take __________. Assume each bulb is independent.
Answer:
The number of defective bulbs in the shipment should be around 15, give or take 4.
Step-by-step explanation:
For each bulb, there are only two possible outcomes. Either it is defective, or it is not. The probability of a bulb being defective is independent of any other bulb. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
Probability of exactly x successes on n repeated trials, with p probability.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Suppose the probability at a light bulb factory of a bulb being defective is 0.11
This means that [tex]p = 0.11[/tex]
Shipment of 133 bulbs:
This means that [tex]n = 133[/tex]
Mean and standard deviation:
[tex]E(X) = np = 133*0.11 = 14.63[/tex]
[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{133*0.11*0.89} = 3.61[/tex]
Rounding to the nearest integers:
The number of defective bulbs in the shipment should be around 15, give or take 4.
If 3,8,9 and x are in proportion find the value of x
Answer:
Step-by-step explanation:
since they are in continued proportion the ratio will be
3/8=9/x
do cross multiplication
8*9=3*x
72=3x
72/3=x
24=x
therefore x =24
Answer:
ans is 24
Step-by-step explanation:
soln
the 3 8 9 and x are in proportion
so 3/8=9/x
3x=72
x=72/3
x=24
Find the area of a triangle with a base of 4 meters and a height of 14 meters.
Answer:
28 meters²
Step-by-step explanation:
Area of triangle = 1/2(base x height).
It is given that:
base = 4 meters
height = 14 meters
Plug in the corresponding numbers to the corresponding terms:
Area of the triangle = 1/2(4 * 14)
Area of the triangle = (4 * 14)/2
Area of the triangle = 56/2
Area of the triangle = 28 meters²
Answer:
The answer is 28 meters^2.
Step-by-step explanation:
To solve for the area of the triangle, start by using the area of a triangle formula, which is A= [tex]\frac{1}{2}[/tex] bh.
Next, plug in the information from the question into the formula. The formula will look like A= [tex]\frac{1}{2}[/tex](4)(14).
Then, solve the equation, and the final answer will be 28 meters^2.
Can someone help me please
Answer:
The length would be 25/5 which is 4.8
Answer:
l=8 or -3
Step-by-step explanation:
You can write this into an equation!
It will be l*(l-5)=24
Now, we can just solve.
We have to expand the equation and so on.
Which expression represents 1/64
a. 2(6)
b. 8 1/2
c. -4(3)
d. 2 (-6)
Answer:
The answer is B
Hope this helps
Brainliest??
The waiting times between a subway departure schedule and the arrival of a passenger are uniformly distributed between 0 and 7 minutes. Find the probability that a randomly selected passenger has a waiting time
greater than 1.25 minutes.Find the probability that a randomly selected passenger has a waiting time greater than 1.25 minutes.
Answer:
0.8214
Step-by-step explanation:
We have
F(x) = 1/b-a
With b = 7
And a = 0
Such that we have
1/7-0
= 1/7
Probability of x> 1.25
7-1.25
= 5.75
1/7 x 5.75
= 0.8214
Therefore the probability that a randomly selected passenger has a waiting time more than 1.25 minutes is = 0.8214.
Thank you!
Given that z is a standard normal random variable, what is the value of z if the area to the right of z is .9370? a. .8264 b. – 1.53 c. 1.50 d. 1.96
Answer:
z₁(s) = - 1.53
Step-by-step explanation:
a) Value of z or z₁(s) area to the right is .9370
1 - 0.9370 = 0.063
Then if area to the left is 0.063 z₁(s) = - 1.53
I don’t understand this so can anyone help with this!?
Please help will give brainly
11^2=
Answer:
11^2 = 121.
11 * 11 = 121.
AnSwer:
Step-by-step explanation:
YOUR ANSEWR IS
121 Evaluate.
I’m kinda stuck on this question, can y’all please help me?
Points J, K and M form a triangle.
In this triangle you are given the angles for JKM (50) and KJM (60)
The 3 inside angles of a triangle need to equal 180.
The third angle JMK would be 180 minus the two given angles:
JMK = 180 - 50 - 60 = 70
JMK = 70 degrees
What’s -7 and 2/3 plus -5 and 1/2
Answer:
[tex]-13\frac{1}{6}[/tex]
Step-by-step explanation:
[tex]-7\frac{2}{3} +(-5\frac{1}{2})[/tex]
[tex]-7\frac{2}{3} -5\frac{1}{2}[/tex]
[tex]-\frac{23}{3} -\frac{11}{2}[/tex]
Prime factorization of the numbers:
3 = 3 × 1
2 = 2 × 1
LCM of (3, 2) = 6
2 × 3
= 6
[tex]-\frac{79}{6}[/tex]
[tex]-13\frac{1}{6}[/tex]
Please help me!! I will give you brainliest!
Answer:
volume = 7/8 cubic units
Step-by-step explanation:
[tex]volume = base \ area \times height = \frac{1}{2} \times \frac {7}{4} = \frac{7}{8} units^3[/tex]
. In this exercise, you will conduct regression analysis with binary and categorical variables. (a) Use the command tabulate to show the categories of the variable occupation and their frequencies. What is the relative frequency of the category Sales
HELP PLEASE If 2x−y = 0 and x−2y=3, then 6x−6y =
(A) 6
(B) 12
(C) 18
(D) 21
(E) 24
Answer:
A) 6
Step-by-step explanation:
Sydney says that altogether they have placed 2/3 of the eggs into Tanks A and B. Is Sydney correct?
-1/6 of the eggs into Tank A
-4/9 of the eggs into Tank B
Answer:
Sydney is incorrect
Step-by-step explanation:
We cannot start adding Tanks A and B because they have a different denominator.
So we have to find the Least Common Denominator (LCD)
The LCD is 18 so...
[tex]\frac{2}{3} =\frac{12}{18}[/tex]
I'm sorry I gtg to class...
This is urgent please help me out.The side lengths of different triangles are given. Which triangle is a right triangle?
Answer:
C. √18, √7, 5
Step-by-step explanation:
_____________
Anders throws a 10-faced dice with numbers from 1 to 10. Then he spins a coin.
b) Find the probability of scoring: i) a head and a multiple of 3 ii) a tail and a prime number
Answer:
3/20
1/5
Step-by-step explanation:
Sample space :
10 - faced die :
(1, 2, 3, 4,5, 6, 7,8, 9, 10)
Coin = (H, T)
P(H) = 1/2
Multiple of 3 = 3, 6, 9 = 3
P(Multiple of 3) = 3 / 10
P(H and multiple of 3) = 1/2 * 3/10 = 3 /20
2.)
P(tail) = 1/2
Prime numbers = (2, 3, 5, 7) = 4
P(A prime number) = 4 / 10
P(tail and prime number) = 1/2 * 4 /10 = 4 /20 = 1/5
what is a equivalent expression for 2/8 - 1/5 times x?
Answer:
2/8 - 1/5x
1/4 - 1/5x
5/20 - 4/20x
*all possible answers listed above*
Step-by-step explanation:
Are there choices?
The question is in the picture.
[tex] B. \:\frac{2}{ {a}^{7} } [/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{8}{2 \: {a}^{5} } \times \frac{6}{12 \: {a}^{2} } \\ = \frac{48}{24 \:( {a})^{5 + 2} } \\ = \frac{2}{ {a}^{7} } [/tex]
Note:-
[tex] {a}^{m} \times {a}^{n} = {a}^{m + n} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
What type of triangle is this triangle?
acute isosceles
obtuse isosceles
acute scalene
right isosceles
Answer:
Obtuse isosceles
Step-by-step explanation:
Since this is an obtuse isosceles triangle, the two missing angles must be acute angles.
Answer:
obtuse isosceles
Step-by-step explanation:
im kinda bad but since the top angle is obtuse its an obtuse isosceles
Find the simplified product
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Answer:
(b) -30x²√(2x)
Step-by-step explanation:
Squares can be removed from under the radical.
Answer:
The answer is b on edg
Step-by-step explanation:
Just took the assignment
Hadley is driving to Colorado. She has been traveling for 4 hours, and she has driven 260 miles. Find her speed in miles per hour.
[tex]hey \\ 260miles \: in \: 4 \: hours \\ how \: many \: miles \: per \: hour = \\ 260 \div 4 = 65miles[/tex]
Consider the following graph of y = f (x). Please help
Answer:
f. for the x values I think its -1 & 5
Given m || n, find the value of x and y.
(5x+16)
m
(y+6)
(7x+4)
n
Answer:
3<+2=13 is the answer
Step-by-step explanation:
? divided by 1/3 = 6/7 what is the fraction that makes this true
The answer would be 2/7 if 2/7 is divided by 1/3 = 6/7 after applying the concept of basic arithmetic operation.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
divided by 1/3 = 6/7
Let the missing number is:
x divided by 1/3 = 6/7
x = (6/7)(1/3)
x = 2/7
Thus, the answer would be 2/7 if 2/7 is divided by 1/3 = 6/7 after applying the concept of basic arithmetic operation.
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
NO LINKS PLS HELP MMEEE
Answer:
4. 84.82 6. 7238.23 5. 1415.81 7. 1570.8
Step-by-step explanation:
Answer:
4. 254.47ft^3
5. 4247.43yd^3
6. 21714.69 in^3
7. 4712.39 ft^3
hope this helps
have a good day :)
Step-by-step explanation:
10x10x10x10x10x10x10 in word form
Answer:
10,000,000
Step-by-step explanation:
ten million
Answer:
10 times 10 or ten times ten or ten to the power of seven ( only for expontants )
Step-by-step explanation:
hope it helps :)