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Ratling [72]
3 years ago
9

Jack is looking to buy a soda at the store. He notices that a 20oz bottle of soda costs $1.20 and a 12 oz can of soda costs $0.8

5. He wants to get the best deal for his money. Find the unit rates to compare which deal is better per ounce.
Mathematics
1 answer:
aleksley [76]3 years ago
5 0

Unit price = price / quantity

1.20 / 20 = 0.06 per ounce

0.85 / 12 = 0.071 per ounce

The better deal is the 20 oz for $1.20

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F(x) = x2+ x–1 and g(x) = x+ 3, what is f o g(x)
Naddika [18.5K]

Answer:

Step-by-step explanation:

f(x) = x^2 + x - 1\\g(x) = x +3\\\\\\(f\:o\:g)(x) = f(g(x))

we input the function g(x) into every x in f(x)

f(g(x)) = (x+3)^2 + (x + 3) - 1\\f(g(x)) = x^2 + 6x + 9 + x + 3 - 1\\f(g(x)) = x^2 + 7x + 11

4 0
3 years ago
Write an expression, using an exponent, that is equivalent to 8×8×8×8
zvonat [6]

Answer:

8 to the power of 4

Step-by-step explanation:

since their are four 8, (8x8x8x8) , you have to put that into an exponent

still need proof?

8x8x8x8=4096

8 to the power of 4 = 4096

so to conclude, 8 to the power of 4 is the same thing as saying 8x8x8x8, it is jsut the exponent version

5 0
3 years ago
47 1/2 of what number is 190
Grace [21]
47 \frac{1}{2} \cdot x=190\\ \\ \frac{47\cdot2+1}{2} \cdotx=190\\ \\ \frac{95}{2} \cdot x=190\ /\cdot  \frac{2}{95} \\\\x= \frac{190}{1} \cdot  \frac{2}{95}\\ \\x=2\cdot2\\ \\x=4
3 0
3 years ago
Read 2 more answers
For a medical study, a researcher wishes to select people in the middle 60% of the population based on blood pressure.
Finger [1]

Answer:

Lower limit: 113.28

Upper limit: 126.72

Step-by-step explanation:

Problems of normally distributed samples are solved using 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 problem, we have that:

\mu = 120, \sigma = 8

Middle 60%

So it goes from X when Z has a pvalue of 0.5 - 0.6/2 = 0.2 to X when Z has a pvalue of 0.5 + 0.6/2 = 0.8

Lower limit

X when Z has a pvalue of 0.20. So X when Z = -0.84

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

-0.84 = \frac{X - 120}{8}

X - 120 = -0.84*8

X = 113.28

Upper limit

X when Z has a pvalue of 0.80. So X when Z = 0.84

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

0.84 = \frac{X - 120}{8}

X - 120 = 0.84*8

X = 126.72

4 0
3 years ago
To gather information on customer satisfaction, a researcher goes into each store and interviews six randomly selected customers
Slav-nsk [51]

Answer:

Convenience sampling.

Step-by-step explanation:

To gather information on customer satisfaction, a researcher goes into each store and interviews six randomly selected customers at each store. This sampling technique is called convenience sampling.

Convenience sampling can be defined as a sampling method which involves the researcher selecting or collecting data that is easily available or choosing the individuals who are easiest to reach in a population. It is a type of non-probability method of sampling where the first or easiest available data source is being used by the researcher without other requirements.

In this scenario, to gather information on customer satisfaction, the researcher went to the store most likely situated in a shopping mall to collect data from six (6) customers in each stores.

<em>Some of the advantages of convenience sampling are low cost, data are collected quickly, lesser rules etc. </em>

3 0
3 years ago
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