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sasho [114]
2 years ago
10

What is the rate of change between the points (0,5) and (1,-1)?

Mathematics
1 answer:
erastova [34]2 years ago
6 0

Answer:

Rate of change (slope) = - 6

Step-by-step explanation:

(-1-5)/(1-0) = -6/1 = -6

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Suppose ARB Bank is reviewing its service charges and interest payment policies on current accounts. Suppose further that ARB ha
Advocard [28]

Answer:

5.94% of customers carries a balance of GH¢100 or lower.

82.64% of customers carries a balance of GH¢500 or lower.

0% of current account customers carries average daily balances exactly equal to GH¢500.

76.7% of customers maintains account balance between GH¢100 and GH¢500

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\mu = 350, \sigma = 160

What percentage of customers carries a balance of GH¢100 or lower?

This is the pvalue of Z when X = 100. So

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

Z = \frac{100 - 350}{160}

Z = -1.56

Z = -1.56 has a pvalue of 0.0594

5.94% of customers carries a balance of GH¢100 or lower.

What percentage of customers carries a balance of GH¢500 or lower?

This is the pvalue of Z when X = 500.

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

Z = \frac{500 - 350}{160}

Z = 0.94

Z = 0.94 has a pvalue of 0.8264

82.64% of customers carries a balance of GH¢500 or lower.

What percentage of current account customers carries average daily balances exactly equal to GH¢500?

In the normal distribution, the probability of finding a value exactly equal to X is 0. So

0% of current account customers carries average daily balances exactly equal to GH¢500.

What percentage of customers maintains account balance between GH¢100 and GH¢500?

This is the pvalue of Z when X = 500 subtracted by the pvalue of Z when X = 100.

From b), when X = 500, Z = 0.94 has a pvalue of 0.8264

From a), when X = 100, Z = -1.56 has a pvalue of 0.0594

0.8264 - 0.0594 = 0.767

76.7% of customers maintains account balance between GH¢100 and GH¢500

5 0
3 years ago
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y= -2/3x+6. What is the point-slope
Butoxors [25]

Answer:he slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form…

Step-by-step explanation:

3 0
3 years ago
What is the slope for -3 , -2.5​
weqwewe [10]

Answer:

Is there only one coordinate point? is that all the information you got?

7 0
3 years ago
I'll give you brainliest answer!! Help me. This diagram shows a smaller square inscribed within a larger square.
Veseljchak [2.6K]
Each side of the smaller square is the hypotenuse of the triangles with legs of 3 and 4.  From the Pythagorean Theorem, we can calculate the hypotenuse:
hypotenuse^2 = 3^2 + 4^2
hypotenuse^2 = 9 + 16
hypotenuse^2 = 25
hypotenuse = 5
Therefore, the area of the smaller square is 5 * 5 = 25

8 0
3 years ago
Read 2 more answers
A city water company charges homeowners based on how much water they use in thousands of gallons. The company progressively char
Dima020 [189]

Answer:

  • 1700: $50
  • 2000: $60
  • 7000: $90

Step-by-step explanation:

You can read the answers from the graph. Find the usage on the horizontal scale, and look at the vertical scale to find the corresponding charge.

__

<h3>1700 gallons</h3>

The value 1700 is between 1000 and 2000, so will be between 1 and 2 on the horizontal scale. The graph is flat in that region. The charge is $50.

__

<h3>2000 gallons</h3>

The graph has a jump at 2 on the horizontal scale. The solid dot tells you that the charge is $60.

__

<h3>7000 gallons</h3>

At 7 on the horizontal scale, the graph is increasing from 80 to 100. At 7000 gallons, the line passes through the grid intersection indicating the charge is $90.

4 0
2 years ago
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