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inessss [21]
3 years ago
12

What is mZ1? 820 660 1

Mathematics
1 answer:
Tresset [83]3 years ago
8 0

Answer:

∠1 = 148°

Step-by-step explanation:

the triangle interior angles = 180°

the unknown interior angle = 180° - 82° - 66° = 32°

∠1 = 180° - 32° = 148°  because it is supplementary to 32°  (adds together to total 180°)

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How many distinct seven-digit phone numbers can you create from the numbers 4, 4, 5, 6, 7, 7, 7? (e.g. 445-6777 is one example)?
iris [78.8K]
You have 7 numbers, two numbers 4 , one 5, one 6 and three numbers 7.

From these 7 numbers you can create 7!=1\cdot2\cdot3\cdot4\cdot5\cdot6\cdot7=5040 phone numbers, but they are not all different.

If you have two numbers 4, then you have to divide obtained number by 2! (the number of all possible permutations of two numbers 4) and since you have three numbers 7 you should divide the obtained number by 3! (<span>the number of all possible <span>permutations of three numbers 7</span>). Then</span><span /><span>
</span><span>
</span><span>\dfrac{5040}{2!\cdot 3!}= \dfrac{5040}{1\cdot2\cdot1\cdot2\cdot3}=420.</span>

Answer: You can create 420 different phone numbers.<span />
4 0
3 years ago
A council reviews the number of bedrooms in 40 houses located in the same area. The table shows the information gathered.
Liono4ka [1.6K]

Answer:

a) 15 house with 3 bedrooms

b) 40 ÷ 5 = 8

Step-by-step explanation:

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5 0
3 years ago
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Use the formula to find the standard error of the distribution of differences in sample means, x¯1-x¯2. Samples of size 100 from
Vaselesa [24]

Using the Central Limit Theorem, the standard error of the distribution of differences in sample means is of 1.97.

<h3>What is the standard error for each sample?</h3>

According to the Central Limit Theorem, it is given by the <u>standard deviation of the sample divided by the square root of the sample size</u>, hence:

  • s1 = 11/sqrt(100) = 1.1.
  • s2 = 15/sqrt(85) = 1.63.

<h3>What is the square root of the distribution of differences?</h3>

It is given by the <u>square root of the sum of the standard errors of each sample squared,</u> hence:

s = sqrt(1.1² + 1.63²) = 1.97.

More can be learned about the Central Limit Theorem at brainly.com/question/16695444

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5 0
2 years ago
I need help with solving it
slega [8]
Sorry I can't lol but hope someone else can
7 0
3 years ago
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To bill customers for water usage, one city converts the number of gallons used into units. This relationship is represented by
Dvinal [7]

Answer:

u is the dependent variable.

g is the independent variable.

Step-by-step explanation:

In the given equation

g = 748u

where g is the total number of gallons of water used and u is the number of units. Recall that the city converts the number of gallons used into units

In the relationship, the number of gallons used can be determined by measurement. This is not dependent on any factor as such g is an independent variable. u may then be derived using the equation given by substituting the measured value of g into the equation as such u is dependent on the value of g as the other element in the equation is a constant.

8 0
3 years ago
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