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motikmotik
2 years ago
12

A careless university student leaves her iClicker device behind with probability 1/4 each time she attends a class. She sets out

with her iClicker device to attend 5 different classes (each class is in a different lecture theatre). Part 1) If she arrives home without her iClicker device (after attending 5 classes), what is the probability (to 3 SIGNIFICANT figures) that she left it in the 5th class?
Mathematics
1 answer:
oksian1 [2.3K]2 years ago
3 0

Answer:

0.0791

Step-by-step explanation:

student forgets iClicker device with probability 1/4 each time she attends a class.

She sets out with her iClicker device to attend 5 different classes

A - forget device

A' - do not forget device

P(A) = 1/4

P(A') = 3/4

If she arrives home without her iClicker device (after attending 5 classes), what is the probability (to 3 SIGNIFICANT figures) that she left it in the 5th class?

So, she will not forget in 1st class AND not forget in 2nd class AND not forget in 3rd class AND not forget in 4th class AND will forget in 5th class, so:

1st     2nd     3rd     4th     5th

3/4      3/4     3/4     3/4      1/4    =  0.0791

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If ray JG is an angle bisector of ∠FJH, find m∠FJH.
miss Akunina [59]

Answer:

m∠FJH=60°

Step-by-step explanation:

The complete question is

JG bisects FJH, FJG= (2x + 4)° and GJH = (3x -9)°  

What is FJH

we know that

m∠FJH=m∠FJG+m∠GJH -----> equation A

If ray JG is an angle bisector of ∠FJH

then

m∠FJG=m∠GJH -----> equation B

substitute the given values in equation B and solve for x

(2x + 4)°=(3x -9)°

3x-2x=4+9

x=13

Find the measure of angle FJH

m∠FJH=(2x + 4)°+(3x -9)°

substitute the value of x

m∠FJH=(2(13) + 4)°+(3(13) -9)°

m∠FJH=(30)°+(30)°

m∠FJH=60°

3 0
2 years ago
Which number line models the expression 1/8-(-3/4)
RideAnS [48]

Answer:

\frac{7}{8}

Step-by-step explanation:

Given: \frac{1}{8}-(\frac{-3}{4} )

To find: number which represents the expression

Solution:

Integers refers to natural numbers, 0 together with negative of rational numbers.

A rational number is the number of the form \frac{p}{q} where p and q are integers and q\neq 0 .

\frac{1}{8}-(\frac{-3}{4} )=\frac{1}{8}+\frac{3}{4}\\ =\frac{1+6}{8}\\ =\frac{7}{8}

So, \frac{7}{8} represents \frac{1}{8}-(\frac{-3}{4} )

6 0
2 years ago
Exhibit 11-2 We are interested in determining whether the variances of the sales at two music stores (A and B) are equal. A samp
Fiesta28 [93]

Answer:

Option A , should not be rejected

Step-by-step explanation:

From the question we are told that:

Sample 1 n=25

Standard deviation 1 \sigma_1=30

Sample 2 n=16

Standard deviation 2 \sigma_2=20

Level of  confidence \alpha=95\%=>0.95

Generally The Hypothesis are given as

 H_0:\sigma_1^2=\sigma_1^2

 H_1:\sigma_1^2\neq \sigma_1^2

Generally the equation for test Statistics is mathematically given by

 T=\frac{\sigma_1^2}{\sigma_2^2}

 T=\frac{30^2}{20^2}

 T=2.25

Therefore

Critical Value

 X=(\alpha,df_1)

 X'=(\alpha,df_2)

Where

 df=n-1

Therefore

 X=(0.95,24)

 X'=(0.95,15)

From Table

 T_{Critical}=T_x,T_{x'}

 T_{Critical}=0.41,2.701

Therefore

 T_x

Hence,We fail to reject the Null Hypothesis H_0

Option A , should not be rejected

3 0
1 year ago
HDTV screens usually have a width-to -height ratio of 16:9. Which screen dimensions are in the same proportion?
love history [14]

Answer:

4 feet by 3 feet

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  

Please have a look at the attached photo.  

My answer:

width-to -height ratio of 16:9

Let analyse all possible answers:

  • 4 feet by 3 feet

16 divided by 4 is the same as 9 divided by 3 => it is true

  • 28 inches by 21 inches

16 divided by 28 is different as 9 divided by 21 => it is wrong

  • 48 centimeters by 27 centimeters

16 divided by 48 is different as 9 divided by 27 => it is wrong

  • 26 inches by 19 inches

16 divided by 26 is different as 9 divided by 219=> it is wrong

We choose A.

Hope it will find you well.

7 0
2 years ago
The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation. This
Naddika [18.5K]

Answer:

  • $43.20
  • $1416.67

Step-by-step explanation:

Let the money earned during fundraising activities =x

Since the World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation.

The amount of money the foundation will receive

=60% of x

= 0.6x

In the bake sale, the club raised $72.

Therefore, the amount the foundation will receive =0.6*72=$43.20

At the end of the year, the World Issues Club mailed a cheque to the foundation for $850.

Therefore:

0.6x=850

x=850/0.6

x=$1416.67

The total amount of money the club raised is $1416.67.

5 0
2 years ago
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