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Alenkinab [10]
3 years ago
5

10 cards are numbered from 1 to 10 and placed in a box. One card is selected at random and is not replaced. Another card is then

randomly selected. What is the probability of selecting two numbers that are less than 6?
Mathematics
1 answer:
Mariana [72]3 years ago
8 0

5 numbers are less than 6

1st card: 5/10

2nd card (no replacement) 4/10

5/10*4/10 =20/100 = 1/5

Answer 1/5

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pashok25 [27]
A really long time???
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3 years ago
99 % of the trees in our neighborhood are eucalyptus trees. The town planning commission wants to get rid of some of these trees
Brut [27]

Answer:

50%

Step-by-step explanation:

Let the total number of trees be T and suppose that this is made up of eucalyptus trees E and other kinds of trees, O.

Then E+O=T, and since 99% of the trees are eucalyptus trees, EE+O=0.99.

Therefore

0.99E+0.99O=E

0.01E=0.99O

E=99O.

Suppose we reduce the number of eucalyptus trees by some amount x and that the remaining number of eucalyptus trees are now 98% of the total trees.

Then we would have E−x(E−x)+O=0.98.

Therefore,

0.02(E−x)=0.98O

0.02E−0.02x=0.98O

0.02x=0.02E−0.98O

x=E−50(0.98)O

x=E−49O

x=E−49(E99)

x=5099E≈0.505050...×E.

So we end up removing a little over half of the eucalyptus trees. EDIT: Forgot to mention - removing 50.505050...% of the eucalyptus trees means that we are removing 0.50505050....×0.99T which is 0.5T or half the trees in the neighborhood.

3 0
3 years ago
A study was conducted in order to estimate μ, the mean number of weekly hours that U.S. adults use computers at home. Suppose a
777dan777 [17]

Answer:

The point estimate for \mu is 8.5 hours.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean \mu and standard deviation \sigma, a large sample size can be approximated to a normal distribution with mean \mu and standard deviation \frac{\sigma}{\sqrt{n}}.

In this problem

We are working with a sample of 81 adults, so the point estimae of the mean  is the mean number of weekly hours that U.S. adults use computers at home.

So, the point estimate for \mu is 8.5 hours.

6 0
2 years ago
You are considering the services of three different employment agencies, all of which can get you a job that starts at $2,000 a
Sunny_sXe [5.5K]

Answer:

Agency C offers the least expensive overall fee

Step-by-step explanation:

Alone from gross salary, you would make 24000 a year.

Agency A

24000 - ( 2000 x 0.5)

= 23,000

$1000 fee

Agency B

24000 - ( 2000 x 0.1 ) x 6

= 24000 - 200 x 6

= 24000 - 1200

= 22,800

$1200 fee

Agency C

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2 years ago
What is 10 + 10 + 10 + 10 + 10
lidiya [134]

Answer:

50 easy

Step-by-step explanation:

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2 years ago
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