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Maru [420]
1 year ago
12

A line has a slope of 1/7 and includes the points (0,–4) and (u,–5). What is the value of u?

Mathematics
2 answers:
shutvik [7]1 year ago
7 0
Answer is u= -7

Step by step

We know point (0, -4) which means our y intercept is at -4
We know slope is 1/7

y = 1/7x - 4

Graph it and find where the line crosses the x axis at -5 y which is -7 so our point is (-7, -5)

You can also use the formula
(y2 - y1) over (x2 - x1)

-5 - -4 over “u” - 0

-1 over ( u - 0 = -7 so u = -7)

-1/-7 = 1/7 slope

Naddik [55]1 year ago
4 0

Answer:

u : -7

So the points are (0,-4) and (-7,-5)

Slope: 1/7

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Which of the following is not a property of a chi-square distribution?
laiz [17]

Answer:

c) Is not a property (hence (d) is not either)

Step-by-step explanation:

Remember that the chi square distribution with k degrees of freedom has this formula

\chi_k^2 = \matchal{N}_1^2 +  \matchal{N}_2^2 + ... + \, \matchal{N}_{k-1}^2 +  \matchal{N}_k^2

Where N₁ , N₂m .... N_k are independent random variables with standard normal distribution. Since it is a sum of squares, then the chi square distribution cant take negative values, thus (c) is not true as property. Therefore, (d) cant be true either.

Since the chi square is a sum of squares of a symmetrical random variable, it is skewed to the right (values with big absolute value, either positive or negative, will represent a big weight for the graph that is not compensated with values near 0). This shows that (a) is true

The more degrees of freedom the chi square has, the less skewed to the right it is, up to the point of being almost symmetrical for high values of k. In fact, the Central Limit Theorem states that a chi sqare with n degrees of freedom, with n big, will have a distribution approximate to a Normal distribution, therefore, it is not very skewed for high values of n. As a conclusion, the shape of the distribution changes when the degrees of freedom increase, because the distribution is more symmetrical the higher the degrees of freedom are. Thus, (b) is true.

6 0
3 years ago
Robin donated bags of grain that each weighed 403 pounds to the local food shelf. If the total weight of the grain was 160 pound
Alexxx [7]
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7 0
3 years ago
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On a hot day, a fan has a mark on the tip of one blade. The equation y
stellarik [79]
<h3>Answer:  5 cm</h3>

===================================================

Explanation:

Recall that the range for cosine is from -1 to 1, including both endpoints. The smallest cosine value is what we're after, since we want the height to be as small as possible (to allow the blade be closest to the table).

Effectively, this means we replace the cos(x) with -1 so that it's as small as possible. Then we compute to get:

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5

The height of the fan tip is 5 cm when it is the closest to the table.

Side note: On the flip side, the furthest away the fan tip can get is 20*(1) + 25 = 45 cm. Therefore, the range of y values is 5 \le y \le 45

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Answer:

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