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snow_tiger [21]
3 years ago
9

A bag contains five ​batteries, all of which are the same size and are equally likely to be selected. Each battery is a differen

t brand. If you select three batteries at​ random, use the counting principle to determine how many points will be in the sample space if the batteries are selected
​a) with replacement. ____?
​b) without replacement.____?
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
5 0

Answer:

<u>A. 1/125 or 0.8%</u>

<u>B. 1/60 or 1.7%</u>

Step-by-step explanation:

1. Let's review the information provided to us to answer the questions correctly:

Number of batteries in the sample = 5

2. If you select three batteries at​ random, use the counting principle to determine how many points will be in the sample space if the batteries are selected

​A) with replacement. ____?

​B) without replacement.____?

A . With replacement

First selection = 1/5

Second selection = 1/5

Third selection = 1/5

Probability of selecting three random batteries with replacement = 1/5 * 1/5 * 1/5 = 1/125 or 0.8%

B. Without replacement

First selection = 1/5

Second selection = 1/4

Third selection = 1/3

Probability of selecting three random batteries without replacement = 1/5 * 1/4 * 1/3 = 1/60 or 1.7% (Rounding to the next tenth)

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A deli sells a sandwich spread for 6.4per pound. How much do you need to pay for 24 ounces of spread?
Dafna1 [17]

Answer:

You have to pay 9.6.

Step-by-step explanation:

In order to find the answer, first you have to consider that 1 pound is equal to 16 ounces and with that information, you can use a rule of three to find the pounds that 24 ounces represent:

1 pound → 16 ounces

    x       ← 24 ounces

=(24*1)/16=1.5

Now that you know, that 24 ounces are equal to 1.5 pounds you can multiply the price per pound for the number of pounds to find the amount that you need to pay:

6.4*1.5=9.6

According to this, the answer is that you have to pay 9.6.

5 0
3 years ago
The sum of two numbers is 41. The larger number is one less than twice the smaller number. Find the numbers.
Arte-miy333 [17]
I hope this helps you



small a

larger 2a-1


a+2a-1=41


3a=42


a=14

2a-1=2.14-1=27
6 0
3 years ago
Takiya recorded the heights of two sets of plants, one set planted in the shade and one set planted in full sun. Her data are sh
marusya05 [52]

Question;

1) The shaded plants set has greater variability because more data is clustered around the median.

2) The sets are equally variable because the ranges of the data sets are equal.

3) The full sun plants set has greater variability because the IQR for full sun plants is greater.

Answer:

The correct option is;

3) The full sun plants set has greater variability because the IQR for full sun plants is greater

Step-by-step explanation:

To answer the question, we present the dot plot as follows;

Heights of Shaded plants (inches)

          0       4      3       2      0       0             1

0       1.5      2     2.5     3     3.5     4           4.5

We calculate the five numbers as follows;

Max = 4.5

Min = 2

1st quartile = (10+1)/4 th term = 2

2nd quartile (Median) = (10+1)/2 th term = 2.5

3rd quartile = 3×(10+1)/4 th term = 3

Interquatile range (IQR) = Q₃ - Q₁ = 3 - 2 = 1

Where:

Q₁ = 1st quartile

Q₃ = 3rd quartile

Heights of Full Sun plants

0     1      0      2      0       4         3

1.5   2    2.5    3     3.5     4        4.5

We calculate the five numbers as follows;

Max = 4.5

Min = 2

1st quartile = (10+1)/4 th term = 3

2nd quartile (Median) = (10+1)/2 th term = 4

3rd quartile = 3×(10+1)/4 th term = 4.5

Interquatile range (IQR) = Q₃ - Q₁ = 4.5 - 3 = 1.5

The interquartile range, IQR, is a measure of variability

Therefore, the full sun plants set has greater variability because the IQR for full sun plants is greater.

5 0
3 years ago
Read 2 more answers
Under a dilation, triangle XYZ where X(4, 7), Y(-3, 8), and Z(-2, -1) becomes triangle X’Y’Z’ where X’(12, 21), Y’(-9, 24), and
-BARSIC- [3]
It is 3, the points are all 3 times greater
7 0
3 years ago
Help pleaseee i don’t understand thisss
kotegsom [21]

Answer:

The answer is;

box A:3/2

box B:2/3

6 0
2 years ago
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