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stellarik [79]
2 years ago
10

A driver stopped to purchase 27 gallons of gas and paid $62.10. What is the unit rate for gas?

Mathematics
2 answers:
WITCHER [35]2 years ago
5 0

Answer:

$2.3/gallon

Step-by-step explanation:

62.10 divided by 27 =  2.3

Brums [2.3K]2 years ago
3 0

Answer:2.3$

Step-by-step explanation:

To find a unit rate you need to see how much for 1, so in this case you would divide 62.10 by 27 and get 2.3$ per gallon

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Helen [10]
.781111111 repeating. or 43/55
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3 years ago
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The manager of a supermarket would like to determine the amount of time that customers wait in a check-out line. He randomly sel
garri49 [273]

Complete question:

The manager of a supermarket would like to determine the amount of time that customers wait in a check-out line. He randomly selects 45 customers and records the amount of time from the moment they stand in the back of a line until the moment the cashier scans their first item. He calculates the mean and standard deviation of this sample to be barx = 4.2 minutes and s = 2.0 minutes. If appropriate, find a 90% confidence interval for the true mean time (in minutes) that customers at this supermarket wait in a check-out line

Answer:

(3.699, 4.701)

Step-by-step explanation:

Given:

Sample size, n = 45

Sample mean, x' = 4.2

Standard deviation \sigma = 2.0

Required:

Find a 90% CI for true mean time

First find standard error using the formula:

S.E = \frac{\sigma}{\sqrt{n}}

= \frac{2}{\sqrt{45}}

= \frac{2}{6.7082}

SE = 0.298

Standard error = 0.298

Degrees of freedom, df = n - 1 = 45 - 1 = 44

To find t at 90% CI,df = 44:

Level of Significance α= 100% - 90% = 10% = 0.10

t_\alpha_/_2_, _d_f = t_0_._0_5_, _d_f_=_4_4 = 1.6802

Find margin of error using the formula:

M.E = S.E * t

M.E = 0.298 * 1.6802

M.E = 0.500938 ≈ 0.5009

Margin of error = 0.5009

Thus, 90% CI = sample mean ± Margin of error

Lower limit = 4.2 - 0.5009 = 3.699

Upper limit = 4.2 + 0.5009 = 4.7009 ≈ 4.701

Confidence Interval = (3.699, 4.701)

5 0
3 years ago
What is the geometric mean of 3 and 18
anyanavicka [17]

Answer:

3 \sqrt{6}

7 0
3 years ago
Read 2 more answers
Given that f:x→ax+b and f²:x→4x+9, find the value of the constants a and b​
zimovet [89]

Answer:

Step-by-step explanation:  

hello :

ax+b =4x+9     so a=4 and b=9

4 0
3 years ago
Veronica is self employed. In one year, Veronica generates a gross income of $65,500. When calculating her taxes, Veronica is al
butalik [34]

Answer:

$44,850

Step-by-step explanation:

Gross income is $65,500

Allowable deductions are $2,500

Operating income is $65,500-$2,500=$63,000

From the given tax structure, Veronia will pay 15% for the first $25,000 then 30% for $63,000-$25,000=$38,000

Tax will be (0.15*$25,000)+(0.3*$38,000)=$15,150

Remaining expenses will be $5,500-$2,500=$3,000

Income after tax will be $63,000-$15,150=$47,850

Net income=$47,850-$3,000=$44,850

<u>Ans=$44,850</u>

7 0
3 years ago
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