Answer:
-12w^3 + 30w.
Step-by-step explanation:
–6w(2w^2 - 5) Using the distributive law:
= -6w* 2w^2 - 6w*-5
= -12w^3 + 30w.
The 68-95-99.7 rule tells us 68% of the probability is between -1 standard deviation and +1 standard deviation from the mean. So we expect 75% corresponds to slightly more than 1 standard deviation.
Usually the unit normal tables don't report the area between -σ and σ but instead a cumulative probability, the area between -∞ and σ. 75% corresponds to 37.5% in each half so a cumulative probability of 50%+37.5%=87.5%. We look that up in the normal table and get σ=1.15.
So we expect 75% of normally distributed data to fall within μ-1.15σ and μ+1.15σ
That's 288.6 - 1.15(21.2) to 288.6 + 1.15(21.2)
Answer: 264.22 to 312.98
You can start from any of the options mentioned above however make sure to follow the rule of BODMMAS but you can start from (D) 54÷3 if you just really want a section to start with
Answer:
The money was left untouched for 2 years and 6 months or just 2.5 years
Step-by-step explanation:
In this question, we are asked to calculate the time taken for an amount deposited to earn a certain amount of interest.
Mathematically, simple interest can be calculated using the formula;
I = PRT/100
where I is the interest accrued which is 3696.88 - 3,500 = 196.88
P is the principal which is the amount deposited = 3,500 according to the question
R is the rate which is 2.25% according to the question
T is the time which we are to find
we can rearrange the formula making T the subject and we obtain the following;
T = 100I/PR
substituting the values listed above we have;
T = (100 * 196.88)/(3500 * 2.25)
T = 19688/7875
T = 2.5 years or 2 years 6 months
Answer: 3/16 is not equivalent to 3/8
Step-by-step explanation: 3/16 would be like eating 3 pieces of a pie that has 16 pieces whilst 3/8 would be like eating 3 pieces of a pie that has 8 pieces. They are mildly similar but 3/16 is twice as small as 3/8 and henceforth not equivalent.
