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lesya [120]
3 years ago
5

Which of the following is a binomial experiment? 1. A survey asking 75 people to name their favorite color 2. A survey asking 75

people to give their age 3. A survey asking 75 people whom they voted for in the election 4. A survey asking 75 people if they like the new school building
Mathematics
2 answers:
e-lub [12.9K]3 years ago
6 0

Answer:

4. A survey asking 75 people if they like the new school building

Step-by-step explanation:

A binomial experiment consist of n trials but for every trial there are only two possible outcomes.

1. A survey asking 75 people to name their favorite color

There can be more than two answers to the given question so it is not a binomial experiment.

2. A survey asking 75 people to give their age

The age can be any integer which makes the outcomes more than two so this is also not a binomial experiment.

3. A survey asking 75 people whom they voted for in the election

This is also not a binomial experiment as there can be more than two answers to the question

4. A survey asking 75 people if they like the new school building

The given question can only be answered in yes or no which means only two possible outcomes so this is a binomial experiment ..

Crazy boy [7]3 years ago
6 0

Answer:

The answer is D. A survey asking 75 people if they want a new school.

Step-by-step  buildingxplanation:

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Which stem-and-leaf plot has a median of 3.2<br><br><br><br> page.2
DiKsa [7]
Find the median of each set:-

Median is middle number of a data set. If a data set has an odd number of numbers then the median is the middle number when ordered form least to greatest but if its an even number you have to find the mean for the middle 2 numbers when ordered for least to greatest. 

A.

1.2, 2.4, 3.2, 3.2, 3.6, 4.0, 4.1, 4.7

Even numbers = 8
3.2 + 3.6 = 6.8
6.8 ÷ 2 = 
Median = 3.4
So this shows that A isn't the answer because the median of A is 3.4, not 3.2. 

B.

1.6, 2.8, 2.9, 3.1, 3.3, 3.6, 4.2, 4.5

Even numbers = 8
3.1 + 3.3 = 6.4
6.4 ÷ 2 = 3.2
Median = 3.2
<span>So this shows that B is the answer because the median of B is 3.2.

C. 

1.8, 2.0, 2.0, 2.2, 3.2, 4.7, 4.8, 4.9
</span>
Even numbers = 8
2.2 + 3.2 = 5.4
5.4 ÷ 2 = 2.7
Median = 2.7
<span>So this shows that C isn't the answer because the median of C is 2.7, not 3.2.
</span>
D. 

1.4, 1.7, 2.9, 3.0, 3.1, 3.2, 3.2, 3.2, 4
Odd numbers = 9
Median = 3.1

<span>So this shows that D isn't the answer because the median of D is 3.1, not 3.2.
</span>
The stem and leaf plot which median is 3.2 is B.
5 0
2 years ago
What is the probability that the first chip is unacceptable, and the second is acceptable? round the answer to four decimal plac
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3 years ago
Let v = (v1, v2) be a vector in R2. Show that (v2, −v1) is orthogonal to v, and use this fact to find two unit vectors orthogona
andrey2020 [161]

Answer:

a. v.v' = v₁v₂ -  v₁v₂ = 0 b.  (20, -21)/29 and  (-20,21)/29

Step-by-step explanation:

a. For two vectors a, b to be orthogonal, their dot product is zero. That is a.b = 0.

Given v = (v₁, v₂) = v₁i + v₂j and v' =  (v₂, -v₁) = v₂i - v₁j, we need to show that v.v' = 0

So, v.v' = (v₁i + v₂j).(v₂i - v₁j)

= v₁i.v₂i + v₁i.(- v₁j) + v₂j.v₂i + v₂j.(- v₁j)

= v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j

i.i = 1, i.j = 0, j.i = 0 and j.j = 1

So, v.v' = v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j  

= v₁v₂ × 1 - v₁v₁ × 0 + v₂v₂ × 0 - v₂v₁ × 1

= v₁v₂ - v₂v₁

=  v₁v₂ -  v₁v₂ = 0

So, v.v' = 0

b. Now a vector orthogonal to the vector v = (21,20) is v' = (20,-21).

So the first unit vector is thus a = v'/║v'║ = (20, -21)/√[20² + (-21)²] = (20, -21)/√[400 + 441] = (20, -21)/√841 = (20, -21)/29.

A unit vector perpendicular to a and parallel to v is b = (-21, -20)/29. Another unit vector perpendicular to b, parallel to a and perpendicular to v is thus a' = (-20,-(-21))/29 = (-20,21)/29

8 0
2 years ago
Susie is paying $555.26 every month for her $150,000 mortgage. If this is a 30 year mortgage, how much interest will she pay ove
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Answer:

$49,893.6

Step-by-step explanation:

$555.26/mo(30yr)(12 mo/yr) - $150000 = $49,893.6

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Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each
gregori [183]

\frac{1}{4} (2 + v) = 3 \\  \frac{1}{2}  +  \frac{1}{4} v = 3 \\ 2 + v = 12 \\ v = 10

Answer is A.

Hope this helps. - M
8 0
3 years ago
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