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Sonja [21]
2 years ago
7

Isabelle's book collection contains 15 books, including 6 biographies.

Mathematics
1 answer:
Pachacha [2.7K]2 years ago
8 0

Answer: The probability is 6/15 or 40%

Step-by-step explanation: In your question, you said Isabelle's book collection has 15 books and in that collect she has 6 autobiographies. So they probability as a fraction is 6/15.

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What is the slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0)?
Nikolay [14]

The slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0) will be y =0.5 x+ 5.

<h3>What is the slope?</h3>

A numerical assessment of a line's angle relative to the ground is known as the slope.

The inclination of any line, ray, or line segment is the fraction of the perpendicular to the horizontal distance between any two positions on it.

The slope of the line is found as;

\rm m = \frac{y_2-y_1}{x_2-x_1} \\\\ m = \frac{0-4}{6-(-2)} \\\\ m = \frac{-4}{8} \\\\ m = \frac{-1}{2}

The standard line equation is;

y-y₁=m(x-x₁)

\rm y-4= \frac{-1}{2}(x-(-2)) \\\\ 2y-8 = x+2 \\\\ 2y =x+10 \\\\ y = 0.5 x + 5

Hence, the slope-intercept form of the equation of the line containing the points (−2, 4) and (6, 0) will be y =0.5 x+ 5.

To learn more about the slope, refer to the link;

brainly.com/question/3605446

#SPJ1

6 0
2 years ago
A random sample of 30 households was selected as part of a study on electricity usage, and the number of kilowatt-hours (kWh) wa
grin007 [14]

Answer:

The 98% confidence interval for the mean usage in the March quarter of 2006, in kWh, was (333.87, 416.13).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 30 - 1 = 29

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.462

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.462\frac{91.5}{\sqrt{30}} = 41.13

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 375 - 41.13 = 333.87 kWh

The upper end of the interval is the sample mean added to M. So it is 375 + 41.13 = 416.13 kWh

The 98% confidence interval for the mean usage in the March quarter of 2006, in kWh, was (333.87, 416.13).

6 0
3 years ago
(m+3n) ^2 please help me solve this question, I really need it
Charra [1.4K]

Answer:

=m2+6mn+9n2

Step-by-step explanation:

=(m+3n)(m+3n)

=(m)(m)+(m)(3n)+(3n)(m)+(3n)(3n)

=m2+3mn+3mn+9n2

7 0
3 years ago
What is the value of five in 3156
slava [35]

Answer:

Hey there!

The five is located in the tens place, so the value would be 5(10), or 50.

Let me know if this helps :)

8 0
3 years ago
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Which table shows a proportional relationship between miles traveled and gas used?
Mashutka [201]

Answer:

I cant answer this question since there is no table or graph

8 0
3 years ago
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