Answer:
12 bagels
Step-by-step explanation:
If there are 6 people and each person has 2 bagels, multiply the number of people by the bagels per person
6*2 =12
Answer:
Seven cups of canned apples are required to make apple pie recipe
Step-by-step explanation:
The weight of one canned apple is 0.45 pounds
Weight of total canned apple required to make the apple pie recipe is 3 pounds.
Total number of cups of canned apples required
So approximately seven cups of canned apples are required to make apple pie recipe
In this situation,
n=50, p=1/20, q=(1-p)=19/20, and npq=19/8=2.4
We would like np and npq to be a large number, at least greater than 10.
The normal approximation can always be applied, but the result will be very approximate, depending on the values of np and npq.
Situations are favourable for the normal approximation when p is around 0.5, say between 0.3 and 0.7, and n>30.
"Normal approximation" is using normal probability distribution to approximate the binomial distribution, when n is large (greater than 70) or exceeds the capacity of most hand-held calculators. The binomial distribution can be used if the following conditions are met:
1. Bernoulli trials, i.e. exactly two possible outcomes.2. Number of trials is known before and constant throughout the experiment, i.e. independent of outcomes.3. All trials are independent of each other.4. Probability of success is known, and remain constant throughout trials.
If all criteria are satisfied, we can model with binomial distribution, where the probability of x successes out of N trials each with probability of success p is given byP(x)=C(N,x)(p^x)(1-p)^(N-x)and,C(N,x) is number of combinations of selecting x objects out of N.
The mean is np, and variance is npq.
For the given situation, np=2.5, npq=2.375, so standard deviation=sqrt(2.375)=1.54.
Answer:
Step-by-step explanation:
13). 
q ≤ 7
14). -12x < 60
12x > -60
x > -5
15). 5 > z - 3
5 + 3 > z - 3 + 3
8 > z
16). 0.5 ≤ 
0.5 × 8 ≤ 
4 ≤ y
Now we can draw these inequalities on a number line.
Answer:
Each member ran (1/12) of a mile.
Step-by-step explanation:
We have 10 members of Balin's soccer team.
Each one of them ran a distance D.
We know that their combined distance was 5/6 of a mile.
And if each one of them ran the same distance D, then the combined distance is ten times D, or :
10*D
and this is equal to 5/6 of a mile, then we get the equation:
10*D = (5/6) of a mile.
We want to solve this for D, so we can divide both sides by 10:
10*D/10 = (5/6)/10 of a mile.
D = (5/10*6) of a mile
D = (5/10)/6 of a mile
D = (1/2)/6 of a mile
D = (1/2*6) of a mile
D = (1/12) of a mile.
This means that each member ran (1/12) of a mile.
