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Veronika [31]
3 years ago
8

A box contains 150 black pens and 50 red pens. Jose said the sum of the probability that a randomly selected pen will not be bla

ck and the probability that the pen will not be red is 1. Explain whether you agree.
Mathematics
1 answer:
pishuonlain [190]3 years ago
3 0
Maybe it is black because 150is more than 50 so about 75/100
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Suppose a group of research proposals was evaluated by a panel of experts to decide whether or not they were worthy of funding.
Ksivusya [100]

Answer:

(a) 0.12 (b) 0.32 (c) 0.56

Step-by-step explanation:

The  sample outcomes are Funded or Unfunded. Total  sample space is given by:

2²= 4

Fund = F

Unfunded =  U

P (F) ist panel = 0.2

P (U) ist panel = 0.8

P (F) 2nd panel = 0.6

P (U) 2nd panel = 0.4

TOTAL SAMPLE SPACE

Ist Panel                Second Panel

F                                  F

F                                  U

U                                 F

U                                 U

(a) Probability of  both panel approval = P (FF)

                                                                =  0.2 x 0.6

                                                                =  0.12

(b) Probability of approval disapproved by both panels = P (UU)

                                                                                            = 0.8 x 0.4

                                                                                            = 0.32

(c) Probability of a worthy disapproval by one panel = P(FU) + P(UF)

                                         = (0.2 x 0.4) +(0.8 x 0.6)

                                         =  0.08 + 0.48

                                         =  0.56

6 0
4 years ago
Benjamin took a taxi from his house to the airport. The taxi company charged a pickup fee of $2.60 plus $3 per mile. The total f
KonstantinChe [14]

Answer:

74.60=3x+2.60

74.60-2.60=72

72/3=24

x=24

the taxi ride was 24 miles

8 0
3 years ago
A three-digit number has tens digit two greater than the units digit and the hundreds digit one greater than the tens digit. The
Paha777 [63]

Answer:

875

Step-by-step explanation:

As given, there is a three digit number

So, let assume three digit number be `xyz`.

Now, as given tens digit is 2 greater than the unit digit.

∴ y= 2+z

Next, the hundred digit one greater than the tens digit.

∴x= 1+y

The sum of the tens and the hundreds digits is three times the units digit.

∴x+y= 3z

Now, substituting the value in the equation.

x+y= 3z

⇒ (1+y)+y= 3\times (y-2)

solving it to get value of y

⇒ 2y+1= 3y-6

⇒-y= -7

∴ y=7

Next, finding value of z

y= 2+z

substituting the value of y and subtracting both side by 2

∴ z= 7-2= 5

Last, finding the value of x

x=1+y

substituting the value of y

∴ x= 8

xyz= 875

5 0
3 years ago
I need to know if this is correct
vitfil [10]

i thinks its correct.

3 0
3 years ago
The least common denominator of 5/6, 2/3, and 3/5 is:
Artemon [7]

Answer:

30

Step-by-step explanation:

List the factors

6 = 2*3

3 =3

5 = 5

The least common multiple is 2*3*5 = 30

The least common denominator is 30

4 0
3 years ago
Read 2 more answers
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