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viva [34]
1 year ago
6

Hello would like to see if you can help me with question 2?

Mathematics
1 answer:
Murrr4er [49]1 year ago
8 0

Answer:

P(A or B) = 3/5

Explanation:

An independent event is an event that has no connection to another event's chances of happening. For A and B to be an independent event;

P(A or B) = P(A) + P(B)

Given the following parameters

P(A) = 1/5

P(B) = 2/5

Substituting the given parameters into the formula:

P(A or B) = 1/5 + 2/5

P(A or B) = 3/5

Hence the value of P(A or B) is 3/5

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a previous analysis of paper boxes showed that the standard deviation of the length is 9mm. What is the 98% confidence interval
il63 [147K]
We cannot calculate the confidence interval without the sample size.  However, for the second question, the sample size needed would be 49.

The formula we use is

n=(\frac{z_{\frac{\alpha}{2}}\times \sigma}{E})^2

To find the z-score:
Convert 98% to a decimal:  0.98
Subtract from 1:  1-0.98 = 0.02
Divide by 2:  0.02/2 = 0.01
Subtract from 1:  1-0.01 = 0.99

Using a z-table (http://www.z-table.com) we see that this value is closest to a z-score of 2.33.

Using the z-score, our standard deviation (9) and our margin of error (3), we have:
n=(\frac{2.33(9)}{3})^2=(6.99)^2=48.86\approx 49
6 0
3 years ago
Please help me thank you. <br><br> show all work.
seraphim [82]
The length of OM is 4/3 the length of OJ, and the length of ON is 4/3 the length of OK. Thus, two pairs of sides from the triangles are proportional to each other.

Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.

Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.

To make a similarity statement, we just have to match corresponding parts when naming the triangle.

Similarity statement: ΔOJK~ΔOMN
3 0
3 years ago
A rocket is launched from a tower. The height of the rocket , y in feet, is related to the time after launch, x in seconds, by t
Nikolay [14]
<h3>Answer:  Max height = 455.6 feet</h3>

========================================================

Explanation:

The general equation

y = ax^2 + bx + c

has the vertex (h,k) such that

h = -b/(2a)

In this case, a = -16 and b = 147. This means,

h = -b/(2a)

h = -147/(2*(-16))

h = 4.59375

The x coordinate of the vertex is x = 4.59375

Plug this into the original equation to find the y coordinate of the vertex.

y = -16x^2+147x+118

y = -16(4.59375)^2+147(4.59375)+118

y = 455.640625

The vertex is located at (h,k) = (4.59375, 455.640625)

The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet

5 0
3 years ago
3t + 15 = 45. solve pls​
Talja [164]

Answer:

t=10

Step-by-step explanation:

3t + 15 = 45

3t = 30

t = 10

8 0
2 years ago
Read 2 more answers
The length of a rectangle is 3 meters more than the width. If the perimeter is 190 meters, what are the length and the width?
Lady_Fox [76]

Answer:

length = 49 m

width = 46 m

Step-by-step explanation:

Length= w+3

width = w

Perimeter = 2L +2W

190=2(w+3) +2w

190=2w+6+2w (combine like terms now

190=4w+6

184=4w

w=46

PLUG IN

Length

46+3 = 49

8 0
2 years ago
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