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Katena32 [7]
3 years ago
8

Tom is thinking of two numbers,a and b,where a is a positive and b is negative. write to inequalities that Tim can use to compar

e a and b
Explain
Mathematics
1 answer:
Advocard [28]3 years ago
8 0

Answer:a﹥0﹥b

Step-by-step explanation:

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Scotty buys 10 bananas for $15. At this rate, how much will Scotty pay for 3 bananas?
ivolga24 [154]
Find what each banana costs by dividing the $15 dollars between the 10 bananas 15/10=$1.5 then times by 3 to get how much 3 bananas cost $1.5*3= $4.50
4 0
3 years ago
Suppose the lifetime of a cell phone battery is normally distributed with a mean of 36 months and a standard deviation of 2 mont
solong [7]

Answer:

They should guarantee the lifetime of their batteries for 32 months.

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 36 months and a standard deviation of 2 months.

This means that \mu = 36, \sigma = 2

If the company wants to replace no more than 2% of all batteries, for how many months should they guarantee the lifetime of their batteries?

The guarantee should be the 2th percentile of lengths, which is X when Z has a pvalue of 0.02. So X when Z = -2.054.

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

-2.054 = \frac{X - 36}{2}

X - 36 = -2.054*2

X = 31.89

Rounding to the closest month, 32.

They should guarantee the lifetime of their batteries for 32 months.

3 0
2 years ago
Hal is asked to write an exponential function to represent the value of a $10,000 investment decreasing at 2% annually. What
jek_recluse [69]

Answer:

0.98

Step-by-step explanation:

The investment starts at $10,000.

$10,000 is 100% of the investment.

In the first year, it loses 2% of its value. That means that after 1 year, the value of 100% of $10,000 is decreased by 2% of $10,000.

100% - 2% = 98%

After the first year, the investment is worth 98% of the original value.

98% as a decimal is 0.98

Answer: 0.98

4 0
3 years ago
Read 2 more answers
a moving company is hired to take 578 clay pots to a florist shop. the florist will pay the moving company a $200 fee, plus $1 f
mariarad [96]

Answer:

772 and they have to pay 24

5 0
2 years ago
Read 2 more answers
You invest $1,200 in an account that pays an interest rate of 7.25%, compounded continuously.
hammer [34]
The answer is $1,809.00.

Explanation:

To calculate interest rate, you must multiply the decimal version of the percentage by the original number. 7.25% as a decimal is equivalent to 0.0725, so multiplying that by 1,200 = 87. Now we must multiply that by 7 to find the amount after 7 years. The product is 609, or $609. Now we add that amount to the original number (1,200). The sum is 1809, $1,809. Therefore, your total balance after 7 years is $1,809.

Hope I helped and good luck!
6 0
3 years ago
Read 2 more answers
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