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Liula [17]
3 years ago
6

9-6=3, 6+3=9, 3+6=9 what is the missing fact family?

Mathematics
1 answer:
Taya2010 [7]3 years ago
7 0

Answer:

<em>9-3=6</em>

Step-by-step explanation:

An addition/subtraction fact family has 2 addition equations and 2 subtraction ones.

The question already states both addition ones, but only one subtraction

The subtraction one stated is 9-6=3

The opposite is<em> 9-3=6</em>

<u>Hope this helps :-)</u>

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A class consists of 12 boys and 12 girls. The teacher picks five students to present their work to the rest of the class
Varvara68 [4.7K]

Answer:

0.01863, yes preference

Step-by-step explanation:

given that a class consists of 12 boys and 12 girls. The teacher picks five students to present their work to the rest of the class  and says that the five students are being selected at random

Here selecting any 5 students from the group of total 24 students is combination because order does not matter.

Total no of ways of selecting any 5 from total 24 = 24C5\\=42504

No of ways of selecting only 5 girls = No of ways of selecting random 5 girls from total 12 girls

= 12C5\\=792

a) the probability be that all five students

selected are girls=\frac{792}{42504} \\=0.01863

b) Since the probability for selecting all girls is very small and near to 0, it is unusual to select all girls if done at random.  Hence the teacher had a preference for girls.

5 0
3 years ago
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OleMash [197]
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3 years ago
How to find the perimeter ratio of two similar triangles
Free_Kalibri [48]

Answer:

of their perimeters is equal to the ratio of their corresponding side lengths. ratio of their areas is equal to the square of the ratio of their corresponding side lengths.

5 0
4 years ago
candice is going to replace the top of a table with a new piece of wood. How many square feet of wood would she purchase? 8ft. ,
lukranit [14]

Answer:

She  needs to purchase  50  square feet of wood .

Step-by-step explanation:

we can find the number of square feet of wood needed to purchase by finding the area of the table

The area of the table  =  area of the triangle + area of the rectangle

Area of the triangle:

Area of the triangle  = \frac{1}{2}(base \times height)

On substituting the values from the attached figure , we get

Area of the triangle  = \frac{1}{2}(4\times  5)

Area of the triangle  = \frac{20}{2}

Area of the triangle  = 10 square feet

Area of the rectangle:

Area of the rectangle = Length X  Breadth

On substituting the values from the attached figure , we get

Area of the triangle  = 5 \times  8

Area of the triangle  =  40 square feet

Thus the area of the table  = 10 +  40 = 50  square feet

5 0
3 years ago
At a new exhibit in the Museum of Science, people are asked to choose between 94 or 220 random draws from a machine. The machine
Tresset [83]

Answer:

0.0869 = 8.69% probability of getting more than 61% green balls.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

The machine is known to have 99 green balls and 78 red balls.

This means that p = \frac{99}{99+78} = 0.5593

Mean and standard deviation:

\mu = p = 0.5593

s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.5593*0.4407}{99+78}} = 0.0373

a. Calculate the probability of getting more than 61% green balls.

This is 1 subtracted by the pvalue of Z when X = 0.61. So

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

By the Central Limit Theorem

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

Z = \frac{0.61 - 0.5593}{0.0373}

Z = 1.36

Z = 1.36 has a pvalue of 0.9131

1 - 0.9131 = 0.0869

0.0869 = 8.69% probability of getting more than 61% green balls.

8 0
3 years ago
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