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Katyanochek1 [597]
3 years ago
14

Melanie has $35.00 in her saving account and does cleaning in a neighbor's house for $15.00 per week. Sue has no money saved, bu

t is mowing lawns at $20.0 each. If sue mows 1 lawn per week, how long will it take her to catch up with Melanie?
Mathematics
1 answer:
katrin2010 [14]3 years ago
6 0
It will take Sue 7 weeks to catch up with melanie... if you make a chart putting in how much they make each week it is an easier way to solve the problem.
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Work out the value of a and b in the identity.<br> 3ax + 6 - 4(x + b)= 11x + 14
Levart [38]

Answer:

a=5, b=-2

Step-by-step explanation:

If you simplify the equation, you get:

3ax +6 -4x -4b - 11x - 14 = 0 =>

3ax - 15x -4b -8 = 0

group together x's and constants:

(3a-15)x -8 -4b = 0

To make this 0 for all x, we have to find an a such that 3a-15 = 0 and b such that -8-4b = 0. this leads to a=5, b=-2

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Read 2 more answers
1a. [1 mark] The price per kilogram of tomatoes, in euros, sold in various markets in a city is found to be normally distributed
andrey2020 [161]

Answer:

The price that is two standard deviations above the mean price is 4.90.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 3.22 and a standard deviation of 0.84.

This means that \mu = 3.22, \sigma = 0.84

Find the price that is two standard deviations above the mean price.

This is X when Z = 2. So

Z = \frac{X - \mu}{\sigma}

2 = \frac{X - 3.22}{0.84}

X - 3.22 = 2*0.84

X = 4.9

The price that is two standard deviations above the mean price is 4.90.

3 0
3 years ago
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