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Marianna [84]
3 years ago
8

Carli has 42 tacos to put in 7 boxes. Each box has the same number of tacos. How many tacos are in each box?

Mathematics
1 answer:
kap26 [50]3 years ago
4 0
6 tacos are in each box
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Write the following in point-slope form using the given information: Slope: 2 points
SCORPION-xisa [38]

Answer:

y+5 = \frac{1}{15}(x - 3)}

Step-by-step explanation:

Given

m = \frac{1}{15} -- Slope

(x_1,y_1) = (3,-5) --- Point

Required

Write an equation in point slope form

The point slope form of an equation is:

y - y_1 = m(x - x_1)

Substitute values for y1, x1 and m

y-(-5) = \frac{1}{15}(x - 3)}

y+5 = \frac{1}{15}(x - 3)}

Hence, the equation in point slope form is:

y+5 = \frac{1}{15}(x - 3)}

8 0
3 years ago
Explain the circumstances for which the interquartile range is the preferred measure of dispersion. What is an advantage that th
KatRina [158]

Answer:

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile​ range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

Step-by-step explanation:

Previous concepts

The interquartile range is defined as the difference between the upper quartile and the first quartile and is a measure of dispersion for a dataset.

IQR= Q_3 -Q_1

The standard deviation is a measure of dispersion obatined from the sample variance and is given by:

s=\sqrt{\frac{\sum_{i=1}^n (X_i -\bar X)^2}{n-1}}

Solution to the problem

Explain the circumstances for which the interquartile range is the preferred measure of dispersion

Interquartile range is preferred when the distribution of data is highly skewed (right or left skewed) and when we have the presence of outliers. Because under these conditions the sample variance and deviation can be biased estimators for the dispersion.

What is an advantage that the standard deviation has over the interquartile​ range?

The most important advantage is that the sample variance and deviation takes in count all the observations in order to calculate the statistic.

8 0
3 years ago
The length of a rectangle is 3 times the width.If the length is decreased by 4 m and the width is increased by 1 m , the perimet
o-na [289]

Answer:

Length = 27 metres

Width = 9 metres

Step-by-step explanation:

Consider the width to be x.

Then the length will be 3x.

The perimeter is 66m when the width is increased by 1m and the length is decreased by 4m.

So the dimensions will become:

Length=3x-4

Width=x+1

Now solve for the variable x using the formula for perimeter of a rectangle:

P = 2(l+b)

66 = 2(3x-4+x+1)     (Divide both sides by 2 and simplify the parentheses)

33 = 4x-3      (Add 3 to both sides)

36 = 4x        (Divide both sides by 4)

x = 9

Now plug-in the value of x into the original dimensions which were:

Length=3x

Width=x

So the dimensions are:

Length = 27 metres

Width = 9 metres

6 0
3 years ago
Expressions and Equations
Anna71 [15]

Answer:

A) 4x+8

B) 8x-16

C) 8x+12

D) 6x+6y+6z

Step-by-step explanation:

multiple the number outside of the parentheses by each number or letter inside the parentheses

8 0
3 years ago
Dont undersrand this at allll...
Taya2010 [7]

Answer:

2.3 2 1/3

Step-by-step explanation: you add up all the bikes then divide them by 3 because that's the number of people

4 0
2 years ago
Read 2 more answers
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