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Komok [63]
3 years ago
11

Charmaine's penny bank is 2/3 full. After she removes 160 pennies, it is 4/9 full. How many pennies can Charmaine's bank hold?

Mathematics
2 answers:
charle [14.2K]3 years ago
5 0
2/3 = 6/9

6/9 - 4/9 = 2/9

160÷2 = 80

80 = 1/9

80*9= 720 pennies
Romashka-Z-Leto [24]3 years ago
4 0
2/3X - 160 = 4/9X
2/3X - 4/9X = 160
6/9X -4/9X = 160
2/9X = 160
X =80x9
X = 720
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Clara Clatter was born on December 27th, yet her birthday is always in the summer. How is this possible
Pepsi [2]

Answer:

She lives in the Southern Hemisphere.

Step-by-step explanation:

3 0
2 years ago
A number cube is rolled three times. What is the probability of rolling a number less than 3 each time?
sergeinik [125]

Answer:

1/27

Step-by-step explanation:

The outcomes when rolling a die are 1,2,3,4,5,6

getting less than 3 = 1,2

P( less than 3) = outcomes of less than 3 / total

                        = 2/6 = 1/3

Since the events are independent we can multiply the probabilities

P( less than 3, less than 3, less than 3) = 1/3 * 1/3*1/3 = 1/27

6 0
2 years ago
A sociologist records the annual household income (in thousands of dollars) among a sample of families living in a high-crime ne
Gnoma [55]

Answer:

The lower quartile is Q_1=33 thousand dollars.

The median quartile is Q_2=39 thousand dollars.

The upper quartile is Q_3=45 thousand dollars.

Step-by-step explanation:

The lower quartile is the median value of the lower half of a data set at the 25th percentile of a distribution.

The median quartile is the median value of a data set at the 50th percentile of a distribution.

The upper quartile is the median value of the upper half of a data set at the 75th percentile of a distribution.

To locate each quartile in a data set, we follow four steps:

Step 1: Put the numbers in order: 23, 25, 33, 34, 39, 39, 44, 45, 48, 55

Step 2: The median is given by \frac{n+1}{2} where n is all scores in the data set.  

Because n = 10, the median position is \frac{10+1}{2}=5.5

The median is the average of the fifth and sixth positioned scores

Q_2=\frac{39+39}{2} =39

Step 3:  Compute \frac{n+1}{2} where n is all scores below Q_2.

For scores below Q_2, use only 23, 25, 33, 34, 39.

Because n = 5, the median position is \frac{5+1}{2}=3

The median is the third positioned score: Q_1=33

Step 4: Compute \frac{n+1}{2} where n is all scores above Q_2.

For scores above Q_2, use only  39, 44, 45, 48, 55

Because n = 5, the median position is \frac{5+1}{2}=3

The median is the third positioned score: Q_3=45

7 0
3 years ago
A grocery store produce manager is told by a wholesaler that the apples in a large shipment have a mean weight of 6 ounces and a
Andru [333]

Answer:

W= 5.744

Step-by-step explanation:

given that a grocery store produce manager is told by a wholesaler that the apples in a large shipment have a mean weight of 6 ounces and a standard deviation of 1.4 ounces

Sample size n= 49

Margin of error = 0.10 (10% risk )

Let us assume X no of apples having mean weight of 6 oz is N(6,1.4)

Then sample mean will be normal with (6, 1.4/7) = (6,0.2)

(Because sample mean follows normal with std error as std dev /sqrt of sample size)

Now required probability <0.10

i.e.P(\bar X

Since x bar is normal we find z score for

P(Z

From std normal distribution table we find that z = 1.28

Corresponding X score =

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7 0
3 years ago
Given the algebraic expression 12x+12/x²-1 do the following:
andre [41]

The value of the function is x is 7 and 4 are 2 and 12 respectively

<h3>Function and values</h3>

Given the function of the variable x below;

f(x) = 12x+12/x²-1

If the value of x is 7, hence;

f(7) = 12(7)+12/(7)²-1

f(7) = 84+12/48
f(7) = 96/48

f(7) = 2

If the value of x is 4, hence;

f(4) = 12(4)+12/(4)²-1

f(4) = 48+12/15

f(4) = 60/5

f(4) = 12

Hence the value of the function is x is 7 and 4 are 2 and 12 respectively

Learn more on function and values here: brainly.com/question/2284360

#SPJ1

7 0
1 year ago
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