Answer:
B
Step-by-step explanation:
I Had this
Answer:
15,9,8 can be divided by 3
so, the greatest number of fruit in each basket is 3 Step-by-step explanation:
12 ^3 and 11^3 haven't got the same base so the rules of exponents do not apply.
Bases have to be the same:- for example 12^3 * 12*3 = 12 ^(3+3) = 12^6
Answer:
The p-value of the test is 0.0207.
Step-by-step explanation:
Test of the claim that more than 60% of the people following a particular diet will experience increased energy (H1: p > 0.6).
The null hypothesis is:

The alternate hypothesis is:

The test statistic is:

In which X is the sample mean,
is the value tested at the null hypothesis,
is the standard deviation and n is the size of the sample.
0.6 is tested at the null hypothesis:
This means that 
Of 100 randomly selected subjects who followed the diet, 70 noticed an increase in their energy level.
This means that 
Test statistic:



P-value of the test:
The p-value of the test is the probability of finding a sample proportion of at least 0.7, which is 1 subtracted by the p-value of z = 2.04.
Looking at the z-table, z = 2.04 has a p-value of 0.9793
1 - 0.9793 = 0.0207
The p-value of the test is 0.0207.
Answer:
Shopkeepers gain just by weighing is 22.22%
Step-by-step explanation:
Explanation:
Assume that the shopkeeper bought x units of goods i.e. actual weight of goods.
As the balance used to buy goods weighs 10% more, he actually bought x×110100=1.1x weight units i.e. although the shopkeeper paid for x units, he actually bought 1.1x units by weight.
Now he has 1.1x units of goods, but for selling he uses another balance, which actually measures 10% less i.e. 1−0.10=0.9 units for each unit weight of goods sold.
So while selling 1.1x becomes 1.1x0.90=1.2222... units.
Hence, shopkeepers gain just by weighing is 22.22%