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shepuryov [24]
2 years ago
8

Ray has an odd number of cats. he also has an even number of dogs.

Mathematics
1 answer:
adell [148]2 years ago
6 0
Their sum would be of odd number....
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John had a roll containing 24 2/3 feet of wrapping paper. He wants to divide it into 11 pieces. First, though, he must cut off 5
tatyana61 [14]

Given

John had a roll containing of wrapping paper  

=24\tfrac{2}{3}

First, he must cut off 5/6 foot because it was torn.

He wants to divide it into 11 pieces.

To proof

As given in question

John had a roll containing of wrapping paper

=24\tfrac{2}{3}

=\frac{74}{3}    ( solving the mixed fraction form)

 First, though, he must cut off 5/6 foot

than we get

= \frac{74}{3} - \frac{5}{6}

Taking the L.C.M of 3 and 6 is 6

=\frac{148-5}{6}

=\frac{143}{6}

=23.83 feet (approx)

He wants to divide it into 11 piece

length of the each piece

=\frac{23.83}{11}

length of the each pieces be 2.16 feet ( approx)

Hence proved




6 0
2 years ago
Read 2 more answers
butter and flour are mixed in the ratio 2:3. paul has 640 grams of butter and 880 grams of flour. how much more flour does he ne
madam [21]

Answer:

80g

Step-by-step explanation:

Here's why:

SO you have 2:3 ratio which means the ratio for grams of butter/grams of flour has to be 2:3.

So we set up the following equation:

2/3 = 640/x (solve for x)

x= 960g

960g is what you should have to get to ratio, but the question is asking how much more you need from the initial given flour.

So you need  (suppose x is the grams of flour you need)

x+880g = 960g (solve for x)

x=80g

3 0
2 years ago
In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6, what would be the standard dev
tresset_1 [31]

Answer:

The standard deviation of that data set is 3.8

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 55

95% of the data fall between 47.4 and 62.6. This means that 47.4 is 2 standard deviations below the mean and 62.6 is two standard deviations above the mean.

Using one of these points.

55 + 2sd = 62.6

2sd = 7.6

sd = 7.6/2

sd = 3.8

The standard deviation of that data set is 3.8

6 0
2 years ago
F(x)=x2−x−1f, left parenthesis, x, right parenthesis, equals, x, squared, minus, x, minus, 1 What is the average rate of change
Alexandra [31]

Answer: The average rate of change = -1

Step-by-step explanation: Please find the attached file for the solution

5 0
2 years ago
A rectangular prism has a length of 114 centimeters, a width of 4 centimeters, and a height of 314 centimeters.
algol13
Hello!
----------
The volume of the prism is 143184 cm^3
----------
WORK: 114*4=456*314=143184
----------
Have a great day!
4 0
2 years ago
Read 2 more answers
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