Gina sold 5/8 of a mushroom pizza and 3/4 of an onion pizza to the same family.How much pizza in all did the family buy?
1 answer:
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Answer:
a. b. 6.1 c. 0.6842 d. 0.4166 e. 0.1194 f. 8.5349
Step-by-step explanation:
a. The distribution of X is normal with mean 6.1 kg. and standard deviation 1.9 kg. this because X is the weight of a randomly selected seedless watermelon and we know that the set of weights of seedless watermelons is normally distributed.
b. Because for the normal distribution the mean and the median are the same, we have that the median seedless watermelong weight is 6.1 kg.
c. The z-score for a seedless watermelon weighing 7.4 kg is (7.4-6.1)/1.9 = 0.6842
d. The z-score for 6.5 kg is (6.5-6.1)/1.9 = 0.2105, and the probability we are seeking is P(Z > 0.2105) = 0.4166
e. The z-score related to 6.4 kg is and the z-score related to 7 kg is
, we are seeking P(0.1579 < Z < 0.4737) = P(Z < 0.4737) - P(Z < 0.1579) = 0.6821 - 0.5627 = 0.1194
f. The 90th percentile for the standard normal distribution is 1.2815, therefore, the 90th percentile for the given distribution is 6.1 + (1.2815)(1.9) = 8.5349
Answer:
Step-by-step explanation:
<em><u>The correct question is </u></em>
If ABCD is a square and AB = 10, what is the measure of AC? (rounded to the nearest hundredth)
see the attached figure to better understand the problem
we know that
All four sides of the square are congruent and all four interior angles are equal to 90°.
so
AB=BC=CD=AD
In the right triangle ACD
Applying the Pythagorean Theorem
we have that
substitute the given value
