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2 years ago

A bag contains a mixture of identical coloured balls.

Mathematics

1 answer:

Amiraneli [1.4K]2 years ago

5 0

Answer:

72 yellow balls

Step-by-step explanation:

80% of 90 is (0.80*90) = 72 yellow balls.

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g A sample of 3 items is chosen at random from a box containing 20 items, out of which 4 are defective. Let X be the number of d

professor190 [17]

Answer:

The variance and standard deviation of X are 0.48 and 0.693 respectively.

The variance and standard deviation of (20 - X) are 0.48 and 0.693 respectively.

Step-by-step explanation:

The variable X is defined as, X = number of defective items in the sample.

In a sample of 20 items there are 4 defective items.

The probability of selecting a defective item is:

$P (X)=\frac{4}{20}=0.20$

A random sample of n = 3 items are selected at random.

The random variable X follows a Binomial distribution with parameters n = 3 and p = 0.20.

The variance of a Binomial distribution is:

$V(X)=np(1-p)$

Compute the variance of X as follows:

$V(X)=np(1-p)=3\times0.20\times(1-0.20)=0.48$

Compute the standard deviation (σ (X)) as follows:

$\sigma (X)=\sqrt{V(X)}=\sqrt{0.48}=0.693$

Thus, the variance and standard deviation of X are 0.48 and 0.693 respectively.

Now compute the variance of (20 - X) as follows:

$V(20-X)=V(20)+V(X)-2Cov(20,X)=0+0.48-0=0.48$

Compute the standard deviation of (20 - X) as follows:

$\sigma (20-X)=\sqrt{V(20-X)} =\sqrt{0.48}0.693$

Thus, the variance and standard deviation of (20 - X) are 0.48 and 0.693 respectively.

3 0

2 years ago

A function can only be represented by a straight line on the coordinate plain

d1i1m1o1n [39]

False however a one to one function has to be represented by a straight line the way to test a function is the vertical line test

5 0

3 years ago

Read 2 more answers

The weather satellite shows that hurricane George is 1,728 kilometers southeast of Puerto Rico and moving northwest at 24 kilome

jenyasd209 [6]

Answer:

1. 3 days.

Step-by-step explanation:

We have been given that the hurricane George is 1,728 kilometers southeast of Puerto Rico and moving northwest at 24 kilometers per hour.

First of all we will find the number of hours it will take for George to reach Puerto Rico. We can find number of hours taken by hurricane George to reach Puerto Rico by dividing 1728 by 24.

$\text{Time}=\frac{\text{ Distance}}{\text{ Speed}}$

$\text{Time taken by hurricane George to reach Puerto Rico}=\frac{1728}{24}$

$\text{Time taken by hurricane George to reach Puerto Rico}=72$

We can see that George will reach Puerto Rico in 72 hours. Let us convert hours to days by dividing 72 by 24 (number of hours in a day).

$\text{Days taken by hurricane George to reach Puerto Rico}=\frac{72}{24}=3$

Therefore, the hurricane George will reach to Puerto Rico in 3 days, if the hurricane stays on its present course. Our first option is the correct choice.

8 0

3 years ago

Victor always runs out of money by the end of the month, so he wants to start keeping a budget. Last month, he spent a total of

Sholpan [36]

Answer:

Yearly budget= $3840

Monthly budget= $320

Step-by-step explanation:

His budget will be calculated first by rounding off to the nearest$10 all his monthly spending.

For groceries= $176.47

Round off=$ 180.00

For phone =$ 78.66

Round off = $80.00

For gas = $62.37

Round off= $60.00

His total round off = $180+$80+$60

His total round off = $320

Before the round off, his total spending was $176.47+$78.66+$62.37

= $317.5

So his monthly budget should be $320

And yearly budget =$ 320*12

Yearly budget= $3840

4 0

3 years ago

What do you add to 17/4 to make 5?

marusya05 [52]

Answer:

3/4 is what you are adding

17/4+3/4=20/4=5

3 0

2 years ago

Read 2 more answers