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dybincka [34]
3 years ago
12

I dont understand...please help

Mathematics
1 answer:
Deffense [45]3 years ago
6 0
PQ because it is the two points that intersect in the two lines.
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A survey was conducted that asked 1003 people how many books they had read in the past year. Results indicated that x overbar eq
Sergio [31]

Answer:

The 99% confidence interval would be given (11.448;14.152).

Step-by-step explanation:

1) Important concepts and notation

A confidence interval for a mean "gives us a range of plausible values for the population mean. If a confidence interval does not include a particular value, we can say that it is not likely that the particular value is the true population mean"

s=16.6 represent the sample deviation

\bar X=12.8 represent the sample mean

n =1003 is the sample size selected

Confidence =99% or 0.99

\alpha=1-0.99=0.01 represent the significance level.

2) Solution to the problem

The confidence interval for the mean would be given by this formula

\bar X \pm z_{\alpha/2} \frac{s}{\sqrt{n}}

We can use a z quantile instead of t since the sample size is large enough.

For the 99% confidence interval the value of \alpha=1-0.99=0.01 and \alpha/2=0.005, with that value we can find the quantile required for the interval in the normal standard distribution.

z_{\alpha/2}=2.58

And replacing into the confidence interval formula we got:

12.8 - 2.58 \frac{16.6}{\sqrt{1003}}=11.448

12.8 + 2.58 \frac{16.6}{\sqrt{1003}} =14.152

And the 99% confidence interval would be given (11.448;14.152).

We are confident that about 11 to 14 are the number of books that the people had read on the last year on average, at 1% of significance.

3 0
3 years ago
A garden table and a bench cost $852 combined. The table is $98 less than the bench. What is the cost of the bench?
Citrus2011 [14]

Answer:

Step-by-step explanation:

b=bench

852=b+(b-98) since the table is less than the bench by 98$

852-b=b-98

950-b=b

950=2b

475=b

3 0
3 years ago
HURRYYYYY!!! PLEASE!
Ira Lisetskai [31]

Answer:

.348

Step-by-step explanation:

7 0
3 years ago
Which equation shows how to find the
Svet_ta [14]
C is the answer to your question
8 0
2 years ago
How many times does the line y=-6 intersect with the circle x^2+y^2=36?
HACTEHA [7]

Answer:

a) The line intersects with the circle once.

b) Tangent

Step-by-step explanation:

We are given the following equation for the circle:

x^2 + y^2 = 36

How many times does the line y=-6 intersect with the circle?

We have to find the values of x when y = -6

So

x^2 + y^2 = 36

x^2 + (-6)^2 = 36

x^2 + 36 = 36

x^2 = 0

x = 0

Since the line intersects the circle at one point, it is tangent to the circle.

The line intersects with the circle once.

4 0
3 years ago
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