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yKpoI14uk [10]
2 years ago
8

A grocery store sells 6 bottles of water for $4.80 and 18 bottles of water for $22.50. Is the cost proportional to the number so

ld? Explain
Mathematics
2 answers:
joja [24]2 years ago
7 0

Answer:

<h2>No, because both operation don't have a Constant of Proportionality related.</h2>

Step-by-step explanation:

We can see this calculating the Constant of Proportionality in both cases:

\frac{4.80}{6} = 0.80\\\\\\\frac{22.50}{18} = 1,25

We can see that, the proportion is not a Constant, which means that costs are not proportional between the number of bottles sold.

zhuklara [117]2 years ago
3 0
No the cost is not proportional to the number sold.

6 bottles divided by $4.80 = .80 each
18 bottles divided by $22.50 = $1.25 each
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The ordered pairs model an exponential function, where w is the function name and t is the input variable. {(1, 60), (2, 240), (
alexandr1967 [171]
We are given the set of points
<span>{(1, 60), (2, 240), (3, 960), (4, 3840)}{(1, 60), (2, 240), (3, 960), (4, 3840)} 
If w is the function name and t is the input variable, then the equation has the form
w = k a^t
Plugging in any two of the points to solve for k and a
Choosing </span>(1, 60) and (2, 240)<span>
60 = k a
k = 60 / a

240 = k a^2

Substituting
240 = 60/a (a^2)
a = 4
and
k = 60 / 4 = 15

The function is 
w = 15 (4^t)</span>
3 0
2 years ago
Read 2 more answers
Given TS¯¯¯¯¯¯¯ and TU¯¯¯¯¯¯¯ are midsegments, PR=18.2, TS=6.5. Find QU . A. 9.1 B. 3.25 C. 13 D. 6.5
AleksAgata [21]

Answer:

The correct option is;

D. 6,5

Step-by-step explanation:

TS and TU are midsegments

Segment PR = 18.2

Segment TS = 6.5

Given that TS is the midsegment of PR and PQ, therefore, TS = 1/2×QR

Which gives;

Segment QR = 2×TS = 2 × 6.5 = 13

Segment QR = 13

Given that TU is a midsegment to PQ and QR, we have that QU = UR

Segment QR = QU + UR (segment addition postulate)

Therefore, QR = QU + QU (substitute property of equality)

Which gives;

QR = 2×QU

13 = 2×QU

Segment QU = 13/2 = 6.5

The length of segment QU is 6.5.

5 0
2 years ago
A data set can have more than one mode
juin [17]

Answer:

Yes! Look at the explanation below:

Step-by-step explanation:

When a data set have 2 mode, it is called a bimodal.

If the data set have more than 2 modes, it is called multimodal.

I will give you an example:

10, 34, 34, 56, 56, 78

In this case there are two modes, which is correct.

Sometimes, if all the data is the same number:

34,34,34,34,34,34

Then it has no mode.

To conclude, a data set can have more than one mode.

4 0
2 years ago
Sheila was given $20.00 for her birthday and spent $14.79 on a CD. How much was her change?
alexira [117]

Answer:

$5.21

Step-by-step explanation:

20.00 - 14.79 = 5.21

3 0
2 years ago
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A facilities manager at a university reads in a research report that the mean amount of time spent in the shower by an adult is
MakcuM [25]

Answer:

We conclude that the mean amount of time that college students spend in the shower is equal to 5 minutes.

Step-by-step explanation:

We are given the following in the question:  

Population mean, μ = 5 minutes

Sample mean, \bar{x} = 4.61 minutes

Sample size, n = 15

Alpha, α = 0.05  

Sample standard deviation, s = 0.75 minutes

a) First, we design the null and the alternate hypothesis  

H_{0}: \mu = 5\text{ minutes}\\H_A: \mu \neq 5\text{ minutes}  

We use two-tailed t test to perform this hypothesis.  

b) Formula:  

t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}} }

Putting all the values, we have  

t_{stat} = \displaystyle\frac{4.61 - 5}{\frac{0.75}{\sqrt{15}} } = -2.0139  

c) Now, we calculate the p-value using the standard table.

P-value = 0.0638

d) Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

We conclude that the mean amount of time that college students spend in the shower is equal to 5 minutes.

Option a) Fail to reject the claim that the mean time is 5 minutes because the P-value is larger than 0.05.

4 0
2 years ago
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