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2 years ago

School administrators asked a group of students and teachers which of two

Mathematics

1 answer:

NISA [10]2 years ago

6 0

Answer:

The events are not independent

Step-by-step explanation:

Given

--------------Logo A --- Logo B ---Total

Students ----- 67----------33--------100

Teachers ----- 11 ----- ----- 14 ----- 25

Total ----- ------78-----------47--------125

Required

Determine if being a student and preferring logo A are independent events

Let P(S) represent probability of being a student

Let P(Logo A) represent probability of preferring logo A

Let P(S n Logo A) represent probability of being a student and preferring logo A

To determine if they are independent, we have to calculate

P(S), P(Logo A) and P(S n Logo A)

P(S) = Total Students / Total Population

P(Logo A) = Total that prefers Logo A / Total Population

P(S n Logo A) = Number of students that prefer logo A / Total Population

If the events are independent, then the following condition must be satisfied

Substitute the values of P(S), P(Logo A) and P(S n Logo A)

Since they are not equal, then the events are not independent

Step-by-step explanation:

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The circumference of the circular table on Colton’s porch is 72π inches. What is the radius of the table

Irina-Kira [14]

Answer:

Step-by-step explanation:

The formula for circumference is: C = 2πr

π = 3.14

r = radius.

The Circumference given to us is 72π. Plug in 72π for C

72π = 2πr

Isolate the variable, r. Divide 2 and π from both sides

(72π)/2π = (2πr)/2π

r = (72π)/2π

r = 36

36 in. is your answer

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3 years ago

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Flora made 7 withdrawals of $75 each from her bank account. What was the overall change in her account ?

qaws [65]

525 dollars 75x5= 525

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3 years ago

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Beverly is painting a mural on a 1-square-meter section of a wall. She has completed a rectangular part of the mural that's is 5

yawa3891 [41]

Answer:

0.21 square meter

Step-by-step explanation:

Area of the section of wall = 1 square meter

Dimension of part of mural completed = $\frac{1}{4}$ meter by $\frac{5}{6}$ meter

Part of the mural completed = Area of the rectangular part of mural completed

But,

Area of a rectangle = length x width

So that,

Part of the mural completed = length x width

= $\frac{1}{4}$ x $\frac{5}{6}$

= $\frac{5}{24}$

= 0.2083

Part of the mural completed = 0.21 square meter

The part of the mural that has been completed by Beverly is 0.21 square meter.

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2 years ago

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What does it mean if a statistic is resistant? choose the correct answer below.

matrenka [14]

When we say a statistic is resistant, we mean the extreme values do not affect the statistic to a large extent or to an extent which makes a major difference. Mean and median are example of such statistics. By changing the extreme values we do not see a substantial difference in the value of mean and median for the data set.

Consider a sample: 1,2,3,4,4,5,6,7,8
The median for this data set is 4.
If we change the extreme values to get this sample: -5,2,3,4,4,5,6,7,100
The median will still be the same i.e. 4. This is what is meant by a resistant statistic.

So option a is the correct ans.

4 0

3 years ago

Write an expression in factored form for the polynomial of least possible degree graphed below.

dexar [7]

Answer:

- 1/64 (x+4)² (x-3) (x-4) = 0

Step-by-step explanation:

f(x) = a (x+4)²(x-3)(x-4) ... curve touch (-4,0) and not cross x axis

x=0 f(x) = -3

a (4)² * (-3) * (-4) = -3

a = - 1/64

- 1/64 (x+4)² (x-3) (x-4) = 0

5 0

3 years ago