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Oliga [24]
2 years ago
11

Here are seven tiles: 1,1,3,3,3,5,5. Tom takes a tile at random. He does not replace the tile. Tom then takes a second tile. A)

Calculate the probability that both tiles have the number 1 on them. B) calculate the probability on the second tile tom picks is greater than the first tile he takes.
Mathematics
1 answer:
zzz [600]2 years ago
4 0

Answer:

a) 2/42

b)16/42

Step-by-step explanation:

a) 2/7 x 1/6 = 2/42

b) (1,2)  (1,3) (2,3)

   P(1,2) = 2/7 x 3/6 = 6/42

   P(1,3) = 2/7 x 2/6 = 4/42

   P(2,3) = 3/7 x 2/6 = 6/42

Add all = 6/42 + 4/42 + 6/42 = 16/42

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the chef is making 10.5 batches of dinner rolls. For each batch, he kneaded dough for 0.7 and let the dough rest for 1.6 hours.
Sergeeva-Olga [200]

Answer: 2.7 hours

Step-by-step explanation:

Hi, to answer this question we simply have to calculate the amount of time that takes making one batch of dinner rolls, by adding the individual times of, kneading, resting and baking.  

Mathematically speaking  

0.7 hours +1.6 hours +0.4 hours = 2.7 hours  

It takes 2.7 hours to make each batch of dinner rolls.

6 0
2 years ago
You mix soda water, fruit punch concentrate, and ginger ale in the ratio of 1 : 2 : 5 to make fruit punch. How many pints of eac
EastWind [94]
So the ratio is 1 to 2 to 5
so basically 1 unit of soda water to 2 units of fruit punch to 5 units of ginger ale

total is 1+2+5=8 units

so 4 gallons=8 units
divide by 8
1/2 gallon=1 unit

soda water=1 unit=1/2 gallon
fruit punch=2 unit=1/2 times 2=1 gallon
ginger ale=5 unit=5 times 1/2=5/2=2 and 1/2 gallon

soda water=1/2 gallon
fruit punch concentrate=1 gallon
ginger ale=5/2 gallon or 2 and 1/2 gallon
8 0
2 years ago
Suppose that you bet $5 on each of a sequence of 50 independent fair games. Use the central limit theorem to approximate the pro
amm1812

Answer:

chances chances of happening = 0.0119

Step-by-step explanation:

given data

bet =  $5

independent fair games = 50

solution

we will think game as the normal distribution

so here  mean is will be

mean = \frac{50}{2}

mean = 25

and standard deviation will be

standard deviation = \sqrt{50*0.5*0.5}

standard deviation = 3.536

so

we have to lose 33 out of 50 time for lose more than $75

so as chance of doing things z score is

z score = \frac{33-25}{3.536}

z score  = 2.26

so from z table

chances chances of this happening = 0.0119

8 0
2 years ago
Please help!!
rusak2 [61]
ANSWER TO QUESTION 1

The set of natural numbers that are factors of 20 are natural numbers that divides 20 exactly without a remainder.

These natural numbers are;

{1,2,4,5,10,20}

Therefore the correct answer is D

ANSWER TO QUESTION 2

Given that the universal set U has elements

{1,2,3,4,5,6,7,8,9,10}

and the set P also has elements

{2,4,6,8,10}

The elements of P' are the elements that are in the universal set but are not in set P.

These elements are;

{1,3,5,7,9}

The correct answer is C

ANSWER TO QUESTION 3

The distance is given by the absolute value equation

d=|130-25t|

If the is 15 feet away then d=15

This implies that;

15=|130-25t|

We now split the absolute value sign to obtain,

15=130-25t

or

-15=130-25t

We now solve for t to obtain;

15-130=-25t

or

-15-130=-25t

\frac{115}{25}=t

or

\frac{145}{25}=t

This gives us

4.6=t

or

5.8=t

The correct answer is C

ANSWER TO QUESTION 4

Given

P={0,1,2,3,4,56,7,8,9}

and

V={2,4,6,810,1216,18,20}

P\capV={2,4,6,8}

P\V are  elements in P only .

This means that we have to take out the elements of the intersection of the two sets from P.

P\V ={0,1,3,5,5,7,9}

The correct answer is B

ANSWER TO QUESTION 5

The correct answer is B.

In listing the elements of a set, we do not repeat the element. In order words we list only distinct elements.


Blueberry is repeating in both sets but we have to list it once.

ANSWER TO QUESTION 6.

The correct answer is 220

We were told that 250 play basket ball

If 120 play both sports, then

250-120=130

play only basketball

Now the number of people who play only baseball

350-250=100

But the number of people who play baseball

120+100=220

see diagram

7 0
2 years ago
The daily energy requirement, E (kilojoules), for a person of mass m ( kilograms) is calculated using the rule E=9m+8100
Wewaii [24]
For this case we have the following equation:
 E = 9m + 8100
 Substituting E = 8865 we have:
 8865 = 9m + 8100
 Clearing m we have:
 9m = 8865-8100
 m = (8865-8100) / (9)
 m = (765) / (9)
 m = 85 Kg
 Answer:
 
Gavin's mass is:
 
m = 85 Kg
8 0
2 years ago
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