Answer:
Strawberries sold 44 baskets
Raspberries sold 52 baskets
Step-by-step explanation:
Three tubes of brand A toothpaste cost $12,five tubes of brand B toothpaste cost $25,and eight tubes of brand C toothpaste cost
1 answer:
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Answer:
Step-by-step explanation:
Answer:
option C ⇒ C) y = -x² + 18x - 74
Step-by-step explanation:
The given options are:
A) y = -x² + 14x - 40
B) y = -x² - 18x - 88
C) y = -x² + 18x - 74
D) y = -x² - 14x - 58
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The general equation of the parabola has the form:
y = f(x) = ax² + bx + c
The vertex of the parabola has the coordinates (h , k)
where h =
and k = f(h) = f()
Check option A: a = -1 , b = 14 ⇒ (h,k) = (7, f(7) ) = (7 , 9)
Check option B: a = -1 , b = -18 ⇒ (h,k) = (-9, f(-9) ) = (-9,-7)
Check option C: a = -1 , b = 18 ⇒ (h,k) = (9, f(9) ) = (9,7)
Check option D: a = -1 , b = -14 ⇒ (h,k) = (-7, f(7) ) = (-7,-9)
So the equation which has a maximum at (9,7) ⇒ y = -x² + 18x - 74
<u>So, the correct answer is option C</u>
Answer:
The z-score (value of z) for an income of $1,100 is 1.
Step-by-step explanation:
We are given that the mean of a normally distributed group of weekly incomes of a large group of executives is $1,000 and the standard deviation is $100.
<em>Let X = group of weekly incomes of a large group of executives</em>
So, X ~ N()
The z-score probability distribution for a normal distribution is given by;
Z = ~ N(0,1)
where, = mean income = $1,000
= standard deviation = $100
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
Now, we are given an income of $1,100 for which we have to find the z-score (value of z);
So, <em><u>z-score</u></em> is given by = =
= 1
<em>Hence, the z-score (value of z) for an income of $1,100 is 1.</em>