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alukav5142 [94]
1 year ago
9

evelyn has $638.54 in her checking account. she must maintain a $500 balance to avoid a fee. she wrote a check for $159.50 today

. write and solve an inequality that would be used for the least amount of money she needs to deposit to avoid a fee. source stylesformatfontsize
Mathematics
1 answer:
Pachacha [2.7K]1 year ago
4 0

The inequality is:

x + $488.04 ≥ $500

And the solution is

x ≥ $11.96

<h3>How to write and solve the inequality?</h3>

First, let's define x as the amount that she needs to deposit.

Now, we know that at the moment Evely has $638.54 in her bank account. Then she pays for $638.54, then she writes a check for $159.50, then we need to subtract that:

$638.54 - $159.50 = $488.04

Now she needs to deposit an amount x, such that her balance is at least $500, then we can write the inequality:

x + $488.04 ≥ $500

Solving that for x, we get:

x ≥ $500 - $488.04 = $11.96

She needs to deposit at least $11.96.

If you want to learn more about inequalities:

brainly.com/question/24372553

#SPJ1

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A grading scale is set up for 1000 students' test scores. It assumes the
astra-53 [7]

Answer:

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

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.

It assumes the scores are normally distributed with a mean score of 75 and a standard deviation of 15.

This means that \mu = 75, \sigma = 15

How many students will score between 48 and 75?

First we find the proportion, which is the pvalue of Z when X = 75 subtracted by the pvalue of Z when X = 48. So

X = 75

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

Z = \frac{75 - 75}{15}

Z = 0

Z = 0 has a p-value of 0.5

X = 48

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

Z = \frac{48 - 75}{15}

Z = -1.8

Z = -1.8 has a p-value of 0.0359

1 - 0.0359 = 0.4641

Out of 1000:

0.4641*1000 = 464

464 students will score between 48 and 75. Using the z-distribution, we measure how many standard deviations each score is from the mean, then find the p-value associated with each score to find the proportion, and from the proportion, we find how many out of 1000.

7 0
3 years ago
Help plz this is multiple choice so just choose the answer u think is correct.
babymother [125]

the answer is 34.83 I believe

5 0
2 years ago
Neil is a drummer who purchases his drumsticks online. When practicing with the newest pair, he notices they feel heavier than u
Fynjy0 [20]

Answer:

The probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

Step-by-step explanation:

Given:

Weight of a given sample (x) = 2.33 oz

Mean weight (μ) = 1.75 oz

Standard deviation (σ) = 0.22 oz

The distribution is normal distribution.

So, first, we will find the z-score of the distribution using the formula:

z=\frac{x-\mu}{\sigma}

Plug in the values and solve for 'z'. This gives,

z=\frac{2.33-1.75}{0.22}=2.64

So, the z-score of the distribution is 2.64.

Now, we need the probability P(x\geq 2.33 )=P(z\geq  2.64).

From the normal distribution table for z-score equal to 2.64, the value of the probability is 0.9959. This is the area to the left of the curve or less than z-score value.

But, we need area more than the z-score value. So, the area is:

P(z\geq  2.64)=1-0.9959=0.0041=0.41\%

Therefore, the probability of the stick's weight being 2.33 oz or greater is 0.0041 or 0.41%.

5 0
3 years ago
PLEASE HELPP!!! Please
seraphim [82]

Answer:

a: the second choice, and pounds=10

b. the second choice, and points=90.

Step-by-step explanation:

for a , you just divide the pounds by the price and you get 5 for each.

for b, you just divide the points by the tickets and you get 9 each.

7 0
2 years ago
PLZZ HELP ITS AN EMERGENCY THIS IS DUE IN 30 MINUTES!!!​
Nataly_w [17]

Answer:

1.equation

2. inverse operations

3. 3.7

4. 8

5. yes its a solution because 58=58

6. not a solution

7. 10.3

9. 9

11. 64

12. 2.1

Step-by-step explanation:

4 0
3 years ago
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