Rewrite each number sentence using numerals and symbols. Find the difference between 4 and 3 and then add 7 *

A candy company claims that 20% of the candies in its bags are colored green. Steve buys 30 bags of 30 candies, randomly selects

Allisa [31]

Answer:

The probability of Steve agreeing with the company’s claim is 0.50502.

Step-by-step explanation:

Let X denote the number of green candies.

The probability of green candies is, p = 0.20.

Steve buys 30 bags of 30 candies, randomly selects one candy from each, and counts the number of green candies.

So, n = 30 candies are randomly selected.

All the candies are independent of each other.

The random variable X follows a binomial distribution with parameter n = 30 and p = 0.20.

It is provided that if there are 5, 6, or 7 green candies, Steve will conclude that the company’s claim is correct.

Compute the probability of 5, 6 and 7 green candies as follows:

$P(X=5)={30\choose 5}(0.20)^{5}(1-0.20)^{30-5}=0.17228\\\\P(X=6)={30\choose 6}(0.20)^{6}(1-0.20)^{30-6}=0.17946\\\\P(X=7)={30\choose 7}(0.20)^{7}(1-0.20)^{30-7}=0.15328$

Then the probability of Steve agreeing with the company’s claim is:

P (Accepting the claim) = P (X = 5) + P (X = 6) + P (X = 7)

= 0.17228 + 0.17946 + 0.15328

= 0.50502

Thus, the probability of Steve agreeing with the company’s claim is 0.50502.

7 0

4 years ago

Activity

astraxan [27]

Answer:

No.

The most appropriate unit to measure the mesoplankton is centimeter.

The size is 2 cm.

Step-by-step explanation:

Earlier, you found the size of a mesoplankton to be $2 \times 10^{-2}$ meter.

I think that meters are not the most appropriate unit to represent the size of a mesoplankton.

The most appropriate unit to measure the mesoplankton is centimeter.

Now, 1 meter is equivalent to 100 centimeters.

So, the size of the mesoplankton in centimeter units will be $2 \times 10^{-2} \times 100 = 2$ cm. (Answer)

3 0

3 years ago

Round each number to the nearest hundredth place . For brainlest answer!!

kupik [55]

Answer:use the last 2 decimals to round

Step-by-step explanation:

So for 4.775 round to 5

7 0

4 years ago

20 POINTS PLEASE NEED HELP! PICTURE IS SHOWN!

Rus_ich [418]

it's quite simple. all you need too do is add the total amount then divide

group A (box one) =(0.85). Group A (directly under the first one) =(0.15). Group B do 34 + 14 to get 48 then you divide 34÷48 to get (0.71) that is your answer to the first box in Group B then you do the exact same thing as you did in the first one, but swich 14 for 34 and you will get (0.29)

Simplified to make it easier to read.

Group 1. (0.85 0.71)

Group 2. (0.15 0.29)

Can you mark me Branliest. plz

7 0

4 years ago

If x equals 8-(-2.25) and y equals 6-4.2-(-4.9) what is the value of x-y

natta225 [31]

x = 8-(-2.25) = 8+2.25 = 10.25

y = 6-4.2-(-4.9)=6-4.2+4.9=6+0.7=6.7

x-y = 10.25.-6.7= $\frac{1025}{100} - \frac{670}{100} = \frac{1025-670}{100} = \frac{355}{100} =3.55$