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Vinvika [58]
2 years ago
14

A box contains 4 black shirts, 8 blue shirts, 4 black pants, and 10 blue pants. Determine the probability of randomly selecting

a blue piece of clothing or a pair of pants. Use to explain your answer
I just need the explanation.
Mathematics
1 answer:
Rashid [163]2 years ago
7 0
<h3>Answer:  11/13</h3>

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

Explanation:

Add up the four numbers given: 4+8+4+10 = 26 items total

Kick out the 4 black shirts since they are neither blue, nor are they pants.

So we have 26-4 = 22 items that are blue or a pair of pants (or both).

Divide that over the total (26) to get the probability we're after:

22/26 = (11*2)/(13*2) = 11/13

Side note: 11/13 = 0.8462 = 84.62% approximately

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A nutrition laboratory wants to construct a 95% confidence interval for the mean sodium content of "reduced sodium" hot dogs. A
tatuchka [14]

Answer:

n > 96

Therefore, the number of samples should be more than 96 for the width of their confidence interval to be no more than 10mg

Step-by-step explanation:

Given;

Standard deviation r= 25mg

Width of confidence interval w= 10mg

Confidence interval of 95%

Margin of error E = w/2 = 10mg/2 = 5mg

Z at 95% = 1.96

Margin of error E = Z(r/√n)

n = (Z×r/E)^2

n = (1.96 × 25/5)^2

n = (9.8)^2

n = 96.04

n > 96

Therefore, the number of samples should be more than 96 for the width of their confidence interval to be no more than 10mg

6 0
3 years ago
From 1995 - 2008 in the US 648 people were struck by lightening. 531 of them were men. You want to see if this observation diffe
Gre4nikov [31]

Answer:

Because z is higher than any given value in the chart we come to the conclusion To reject null hypothesis

Step-by-step explanation:

Sample proportion = p= 531/648 = 0.8194

This is the proportion of men that were hit by lightening

Null hypothesis: H0: p = 0.5

Alternate hypothesis: H1: p ≠ 0.5

Test statistics z = 0.8194-0.5/(√0.5x0.5/648)

= 0.8194-0.5/√0.0003858

= 0.3194/0.019642

= 16.26

Since the z > 1.96 (at 5% significance) we reject the null hypothesis.

Therefore in conclusion we say z is higher than given values in the chart so we reject null hypothesis.

Please check attachment!

3 0
3 years ago
Round 45,493 to the nearest thousand​
frozen [14]

Answer:

45000

Step-by-step explanation:

8 0
3 years ago
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Help please i need to know this
HACTEHA [7]

Answer:true,true,false, true,false false

Step-by-step explanation:

8 0
2 years ago
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Which equation represents a line parallel to the line shown on the graph?
Delicious77 [7]

The  equation y=2x+1 has the same slope , so will be parallel to the given line.

<h3>What is a linear function ?</h3>

A function that can be represented in the form of y =mx +c , is called a Linear Function.

here m is the slope and c is the y intercept.

The slope of the given line can be found as follows

The y intercept is 4

at x = -2 , y =0

0 = -2m + 4

m = 2

The line parallel to this line will have the same slope

In the given option , Option C , y=2x+1 has the same slope , so will be parallel to the given line.

To know more about Linear Function

brainly.com/question/21107621

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3 0
1 year ago
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