Answer:
Option A is correct.
Step-by-step explanation:
Simplify: ......[1]
Like terms are those terms who have same variable to the same power.
Combine like terms in [1] ,we have;
Simplify:
Therefore, the simplified form of is,
Answer:
97.5% of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
The normal distribution is symmetric, which means that 50% of the values are below the mean and 50% are above.
In this problem, we have that:
Mean of 3300, standard deviation of 525.
What percent of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams?
2250 = 3300 - 2*525
2250 is 2 standard deviations below the mean.
Of the 50% of the weights below the mean, 95% are going to be greater than 2250(less than 2 standard deviations of the mean).
Of the 50% of the weights above the mean, 100% are going to be greater than 2250.
So
0.975*100% = 97.5%
97.5% of newborn babies born in the maternity wing of this hospital can be expected to have birth weight greater than 2250 grams.
a. 80x > 420 will given the possible number of wall hangings to be sold for the profit to be positive.
b. The weaver must sell more than 5 wall hangings in order to make the profit positive.
Step-by-step explanation:
Amount spent on supplies = $420
Selling price of each wall hanging = $80
Let,
x be the number of wall hangings sold.
Selling price of x wall hangings = 80x
a. Write an inequality that gives the possible numbers w of wall hangings the weaver needs to sell in order for the profit to be positive.
In order for the profit to be positive, the weaver must sell wall hangings of worth more than the amount of supplies, therefore,
80x > 420
80x > 420 will given the possible number of wall hangings to be sold for the profit to be positive.
b. What are the possible numbers of wall hangings the weaver needs to sell in order for the profit to be positive?
Solving the inequality from part a;
80x > 420
Dividing both sides by 80
Rounding off the nearest whole number;
x>5
The weaver must sell more than 5 wall hangings in order to make the profit positive.
Keywords: inequality, division
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