Answer:
You have to take 15 pens to get at least one red pencil.
Step-by-step explanation:
If there were one red and 6 green pens, there would be more red than green pens.
If there were 3 or more blue and thus 18 or more green pens, the number of pens would be over 20.
So there must be 2 blue, 12 green and thus 6 red pencils. So you have to take at least 15 pens to be sure that you got a red one.
Two years ago, Sally had 5,000 dogs in her dog shelter. Now she has 24,575 dogs. The rate of change is 391.5 % increase
<em><u>Solution:</u></em>
Given that Two years ago, Sally had 5,000 dogs in her dog shelter
Now she has 24,575 dogs
To find: rate of change
A rate of change is a rate that describes how one quantity changes in relation to another quantity
<h3><u>Steps to follow:</u></h3>
- First: work out the difference (increase) between the two numbers you are comparing.
- Increase = New Number - Original Number.
- Then: divide the increase by the original number and multiply the answer by 100.
- % change = Increase ÷ Original Number x 100


Thus the rate of change is 391.5 % increase
To find a percent, you need to put the numbers into a fraction first. Since the total number of beads is there, that is the denominator (number on the bottom of the fraction). The purple bead number will go on the top. This makes the fraction 8/12. When you divide 12 by 8, you get the decimal 0.66666667. You move the decimal two places over and get ~66%. This makes your answer B. Hope this helps! :)
For the first one it has 4 right, zero greater and zero less than. For number two is has 0 right, 2 greater than and 3 less to
Answer:
(1) The correct answer is option (a) 0.510
(2) The correct answer is option (b) = 0.9664
(3) The correct answer is option (a) 0.8665
Step-by-step explanation:
1. Find attached of question 1
2.
n= 850
p= 0.1400
here mean of distribution(μ) =n*p
=850* 0.1400
= 119
standard deviation σ = √(np(1-p))
= √(850*0.1400(1-0.1400))
= √102.34
=10.1163
for normal distribution z score =(X-μ)/σx
therefore from normal approximation of binomial distribution and continuity correction:
probability = P(X>100.5)
= P(Z>-1.83)
= 1-P(Z<-1.83)
= 1-0.0336
= 0.9664
3.
n = 1000
p = 0.08
mean of distribution(μ) =np
= 1000*0.08
= 80
and standard deviation σ=√(np(1-p))
= √(1000*0.08(1-0.08))
= √736
= 8.5790
probability = P(X>70.5)
= P(Z>-1.11)
= 1-P(Z<-1.11)
= 1-0.1335
= 0.8665