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Dmitriy789 [7]
3 years ago
13

Spiral Review (Reviews 2.G.A.1, 2.G.A.3, 3.0A.0.9)

Mathematics
1 answer:
DochEvi [55]3 years ago
8 0

Answer:

The Identity Property

Step-by-step explanation:

The identity property for addition tells us that zero added to any number is the number itself. Zero is called the "additive identity." The identity property for multiplication tells us that the number 1 multiplied times any number gives the number itself.

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The average amount of a beverage in randomly selected 16-ounce beverage can is 16.18 ounces with a standard deviation of 0.4 oun
Artist 52 [7]

Answer:

The probability that the mean of this sample is less than 16.1 ounces of beverage is 0.0537.

Step-by-step explanation:

We are given that the average amount of a beverage in randomly selected 16-ounce beverage can is 16.18 ounces with a standard deviation of 0.4 ounces.

A random sample of sixty-five 16-ounce beverage cans are selected

Let \bar X = <u><em>sample mean amount of a beverage</em></u>

The z-score probability distribution for the sample mean is given by;

                          Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean amount of a beverage = 16.18 ounces

           \sigma = standard deviation = 0.4 ounces

           n = sample of 16-ounce beverage cans = 65

Now, the probability that the mean of this sample is less than 16.1 ounces of beverage is given by = P(\bar X < 16.1 ounces)

   P(\bar X < 16.1 ounces) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{16.1-16.18}{\frac{0.4}{\sqrt{65} } } ) = P(Z < -1.61) = 1 - P(Z \leq 1.61)

                                                    = 1 - 0.9463 = <u>0.0537</u>

The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9591.

8 0
3 years ago
Jessie graphed one of the lines in a system of equations: y = 3 x minus 2. If the system has an infinite number of solutions, wh
True [87]

Answer:b, d and e, sorry if it’s wrong.

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Bailey spent $12.25 at the arcade on Saturday and $9.50 at the arcade on Sunday. How much money did Bailey spend anogether?
galben [10]

Answer:

21.75

Step-by-step explanation:

i added 12.25 by 9.50

8 0
3 years ago
Waqas wishes to distribute 128 bananas and also 176 apples equally among a certain number of children. find the highest number o
atroni [7]
Answer:
The maximum number of children = 16 

Explanation:
The greatest number of students who can get the fruit in this way (equally) will be equal to the highest common factor between the number of bananas and the number of apples.

Number of bananas = 128 = 2 * 2 * 2 * 2 * 2 * 2 * 2
number of apples     = 176 = 2 * 2 * 2 * 2 *11

We can note that:
the highest common factor = 2 * 2 * 2 * 2 
the highest common factor = 16

This means that the maximum number of children to get both equally is 16

Hope this helps :)
7 0
3 years ago
If Janet scored an 85% on her test she answered 34 questions correctly how many questions were on the test
Wittaler [7]
40 questions. You set up a proportion, mutiply 34 by a 100 and get 3400. Then you divide 3400 by 85 and you get ur answer. You could also try guessing by putting in random values you think are the whole number and multiplying them by 0.85. So if you guess 44 is the whole and try checking it by multiplying it by .85 and get a value thats higher than the value the percentage is equal to you try another smaller value. So if 44 doesn't work you can try 40. 40 times .85 is 34 so your answer of 40 questions is correct.
7 0
2 years ago
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