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s2008m [1.1K]
3 years ago
13

Can someone explain why the answer is true. Will Mark brainliest.

Mathematics
1 answer:
Reil [10]3 years ago
6 0

Answer:

I am going to try my best and say that the answer is B

Step-by-step explanation:

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In a certain communications system, there is an average of 1 transmission error per 10 seconds. Assume that the distribution of
Nitella [24]

Answer:

The probability of 1 error in a period of 0ne - half minute is 0.1494

Step-by-step explanation:

Formula for poisson distribution:

P (X = k) = \frac{\exp^{- \lambda} \lambda^{x}  }{x!}

If there is an average of 1 error in 10 seconds

In one-half minutes (i.e. 30 seconds), there will be an average of 30/10 errors = 3 errors

\lambda = 3 errors\\x = 1

P (X = 1) = \frac{\exp^{-3} 3^{1}  }{1!}

1! = 1

P (X = 1) = 3 \exp^{-3}

P(X = 1) = 3 * 0.0498

P(X = 1) = 0.01494

7 0
3 years ago
Read 2 more answers
Transform the Cartesian (rectangular) equation to a polar equation: x = -9. The selected answer is incorrect.
nika2105 [10]

Answer:

Solution : Option C

Step-by-step explanation:

We have the equations r² = x² + y², x = r cos(θ), and y = r sin(θ) that can be used to solve this problem. In this case we only need the second two equations (  x = r cos(θ), and y = r sin(θ) ) as we don't need to apply the concept of circles etc here.

Given : x = - 9,

( Substitute r cos(θ) for x )

r cos(θ) = - 9,

r = - 9 / cos(θ)

( Remember that sec is the reciprocal of cos(θ). Substitute sec for 1 / cos(θ) )

r = - 9 sec(θ)

Therefore the third option is the correct solution.

6 0
3 years ago
A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units?
DochEvi [55]
1. Find the surface area of the rectangular prism. (1 point) 
<span>Measures are 2, 3, and 4 inches. Let W=2, L=3, H=4 </span>
<span>a rectangular has six sides, the total surface area is equal to 6 plains: </span>
<span>2*W*L + 2*L*H + 2*L*W </span>
<span>= 2*(W*L + L*H + L*W) </span>
<span>= 2 * (2*3 + 3*4 + 4*2) </span>
<span>= 2 * ( 6 + 12 + 8 ) </span>
<span>= 2 * 26 </span>
<span>= 52 ................... the last choice </span>

<span>2. A cube has a side length of x feet. Which expression represents the surface area of the cube? (1 point) </span>

<span>Area of one face = x^2, Total Area of 6 faces = 6*x^2 = 2x^2 units </span>


<span>3. Find the surface area of the cylinder. Use 3.14 for pi . (1 point) </span>
<span>Length: 15 cm, Diameter: 2 cm </span>
<span>A cylinder has 3 surfaces: two circles + one curved surface area </span>
<span>...... two circles of 2cm diameter (1cm radius) </span>
<span>A = pi*r^2 = 3.14*1*1 = 3.14 sq. cm ...... two circles' area = 6.28 sq.cm </span>
<span>Curved surface area = circumference * length </span>
<span>.... circumference = pi*d = 3.14 * 2 = 6.28 cm ......... length = 15 </span>
<span>curved surface area = 6.28*15 = 94.2 sq. cm </span>

<span>Add both for total surface area = 6.28 + 94.2 = 100.48 sq.cm </span>


<span>4. The bottom of a shopping bag measures 8 inches by 10 inches. The bag has a height of 12 inches. How much paper is needed to make the bag? (1 point) </span>
<span>two pieces of paper ... one for bottom = 8*10 = 80 sq.in </span>
<span>the other ... height * perimeter of the bottom = 12*(2*(10+8)) = 12 * 2 * 18 = 432 sq.in </span>
<span>Add both: 80 + 432 = 512 sq.in <<<<<<<<<<<</span>
4 0
3 years ago
Read 2 more answers
What is 8 6/15 rounded to the nearest whole number
Lesechka [4]

Answer:

8

Step-by-step explanation:

5 0
3 years ago
Free brainlst! please help
ivolga24 [154]

Answer:

400 ft

Step-by-step explanation:

​h(t)= -16t^2 + 160t

The vertex is found at

h = -b/2a  where b is the coefficient of t and a is the coefficient of t^2

   = -160/(2*-16)

   -160/-32

  5

The time where the maximum occurs is at t=5

To find the maximum substitute into the function

h(5) = -16 (5)^2 +160*5

       = -16*25 +800

       =-400+800

       = 400

The maximum height is 400 ft

3 0
3 years ago
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