All categories

3 years ago

Each day, Robert eats 40% of the pistachios left

Mathematics

1 answer:

sasho [114]3 years ago

6 0

Answer:

At the beginning of the first day there were 75 pistachios in the jar.

Step-by-step explanation:

Given that each day, Robert eats 40% of the pistachios left in his jar at that time, and at the end of the second day, 27 pistachios remain, to determine how many pistachios were in the jar at the start of the first day you must perform the following calculations:

100 - 40 = 60

60 = 27

100 = X

100 x 27/60 = X

2700/60 = X

45 = X

60 = 45

100 = X

100 x 45/60 = X

4500/60 = X

75 = X

Therefore, at the beginning of the first day there were 75 pistachios in the jar.

You might be interested in

exercise alone. Two methods of collecting data have been proposed. Method I: Recruit volunteers who are willing to participate.

aniked [119]

Answer:

I) If method I is used, population of generalization will include all those people who may have varying exercising habits or routines. They may or may not have a regular excersing habit. In his case sample is taken from a more diverse population

II) Population of generalization will include people who will have similar excersing routines and habits if method II is used since sample is choosen from a specific population

Step-by-step explanation:

past excercising habits may affect the change in intensity to a targeted excersise in different manner. So in method I a greater diversity is included and result of excersing with or without a trainer will account for greater number of variables than method II.

5 0

4 years ago

The football team needs to raise at least $7,000 for new football uniforms. An anonymous donor gave the team $1,250 toward their

jok3333 [9.3K]

Answer: There are 58 players to raise $100 to meet their goal.

Step-by-step explanation:

Since we have given that

Amount to raise = $7000

Amount given the team by the donor = $1250

Amount each player is able to raise = $100

Let the number of player be 'x'.

According to question, we get that

$1250+100x\geq 7000$

So, the required number of players would be :

$100x\geq 7000-1250\\\\100x\geq 5750\\\\x\geq \dfrac{5750}{100}\\\\x\geq 57.5$

Hence, there are 58 players to raise $100 to meet their goal.

7 0

3 years ago

A company manufactures tires at a cost of $40 each. The following are probabilities of defective tires in a given production run

asambeis [7]

Answer:

The expected cost of the company for a 3000 tires batch is $120255

Step-by-step explanation:

Recall that given a probability of defective tires p, we can model the number of defective tires as a binomial random variable. For 3000 tires, if we have a probability p of having a defective tire, the expected number of defective tires is 3000p.

Let X be the number of defective tires. We can use the total expectation theorem, as follows: if there are $A_1,\dots, A_n$ events that partition the whole sample space, and we have a random variable X over the sample space, then

$E(X) = p(A_1)E(X|A_1) + \dots + p(A_n)E(X|A_n)$ .

So, in this case, we have the following

$E(X) = P(p=0\%)E(X|p=0\%)+P(p=1\%)E(X|p=1\%)+P(p=2\%)E(X|p=2\%)+P(p=3\%)E(X|p=3\%) = 0.1\cdot 3000\cdot 0 + 0.3\cdot 3000\cdot 0.01+ 0.4\cdot 3000\cdot 0.02+ 0.2\cdot 3000\cdot 0.03 = 51$ .

Let Y be the number non defective tires. then X+Y = 3000. So Y = 3000-X. Then E(Y) = 3000-E(X). Then, E(Y) = 2949.

Finally, note that the cost of the batch would be 40Y+45X. Then

$E(40Y+45X) = 40E(Y)+45E(X) = 40\cdot 2949+45\cdot 51=120255$

3 0

4 years ago

Solve 5x +3>19 what is it

tatyana61 [14]

Answer:

x > 3 1/5

Step-by-step explanation:

5x +3>19

Subtract 3 from each side

5x +3-3>19-3

5x >16

Divide each side by 5

5x/5 > 16/5

x > 16/5

x > 3 1/5

7 0

4 years ago

Multiply or divide. Write your answers in simplest form. 2/3 x 3/4, 3/5 divided by 1/2, 5 Divided by 3/8, 3/7 x 4/3, 4/9 divided

Yanka [14]

X/2, 6/5, 40/3,4x/7,20/27

7 0

3 years ago