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Ad libitum [116K]
3 years ago
7

20% of what number is 7?

Mathematics
2 answers:
ValentinkaMS [17]3 years ago
8 0
Answer: 35
Just took a test on this
SOVA2 [1]3 years ago
4 0

Answer: 35

Step-by-step explanation:

7 / 20%

7 / ( 20 / 100)

700 / 20

35

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Which shows one way to determine the factors of x3 – 9x2 5x – 45 by grouping?
GalinKa [24]
<span>x(x2 5) – 9(x2 5) 
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</span>
8 0
2 years ago
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An automated egg carton loader has a 1% probability of cracking an egg, and a customer will complain if more than one egg per do
vaieri [72.5K]

Answer:

a) Binomial distribution B(n=12,p=0.01)

b) P=0.007

c) P=0.999924

d) P=0.366

Step-by-step explanation:

a) The distribution of cracked eggs per dozen should be a binomial distribution B(12,0.01), as it can model 12 independent events.

b) To calculate the probability of having a carton of dozen eggs with more than one cracked egg, we will first calculate the probabilities of having zero or one cracked egg.

P(k=0)=\binom{12}{0}p^0(1-p)^{12}=1*1*0.99^{12}=1*0.886=0.886\\\\P(k=1)=\binom{12}{1}p^1(1-p)^{11}=12*0.01*0.99^{11}=12*0.01*0.895=0.107

Then,

P(k>1)=1-(P(k=0)+P(k=1))=1-(0.886+0.107)=1-0.993=0.007

c) In this case, the distribution is B(1200,0.01)

P(k=0)=\binom{1200}{0}p^0(1-p)^{12}=1*1*0.99^{1200}=1* 0.000006 = 0.000006 \\\\ P(k=1)=\binom{1200}{1}p^1(1-p)^{1199}=1200*0.01*0.99^{1199}=1200*0.01* 0.000006 \\\\P(k=1)= 0.00007\\\\\\P(k\leq1)=0.000006+0.000070=0.000076\\\\\\P(k>1)=1-P(k\leq 1)=1-0.000076=0.999924

d) In this case, the distribution is B(100,0.01)

We can calculate this probability as the probability of having 0 cracked eggs in a batch of 100 eggs.

P(k=0)=\binom{100}{0}p^0(1-p)^{100}=0.99^{100}=0.366

5 0
3 years ago
3 (x + 1) - 5 = 3x - 2<br> has how many solutions?
marissa [1.9K]

Answer:

Zero Solutions

Step-by-step explanation:

3x+3-5=3x-2

3x-3x= -2+5

0= 3

0 does not equal 3, so zero solutions.

7 0
3 years ago
Write a story problem for the addition sentence 7 +__=9.solve the story problem.
leva [86]
Katelan has 9 friends as guests for a costume party. Katelan is elaborating carnival masks for them. So far , she has made 7 masks. How much more masks is Katelan left to do?

Answer: Katelan has 2 masks left to do . Because 7 (plus) 2 is 9.
6 0
3 years ago
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The probability of rolling a number less than 3 on a number cube 2/6. Jennifer rolls a number cube 60 times how many times shoul
Savatey [412]

Answer:

20 times

Step-by-step explanation:

Given the following :

Probability of rolling a number less than 3 on a number cube:

Required outcome = (1, 2)

Total possible outcomes = (1, 2, 3, 4, 5, 6)

Required outcome / Total possible outcomes

= 2 /6

= 1/3

Hence, if number cube is rolled 60 times, number of times a number less than 3 is expected :

(Probability of obtaining a number less than 3 in one roll × number of rolls)

= (1 / 3) × 60

= 60 / 3

= 20 times

5 0
3 years ago
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