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il63 [147K]
3 years ago
7

The roof of a house is in the shape of a square pyramid and its net is shown below. The length of each side of the square is 30

feet. The height of each triangle is 17 feet.

Mathematics
1 answer:
Makovka662 [10]3 years ago
7 0

Answer:

670

Step-by-step explanation:

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In September 2011, Gallup surveyed 1,004 American adults and asked them whether they blamed Barack Obama a great deal, a moderat
Alexus [3.1K]

Answer:

The 99% confidence interval for the proportion of all American adults who blame Barack Obama a great deal or a moderate amount for U.S. economic problems is (0.4894, 0.5706)..

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 1004, \pi = 0.53

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.53 - 2.575\sqrt{\frac{0.53*0.47}{1004}} = 0.4894

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.53 - 2.575\sqrt{\frac{0.53*0.47}{1004}} = 0.5706

The 99% confidence interval for the proportion of all American adults who blame Barack Obama a great deal or a moderate amount for U.S. economic problems is (0.4894, 0.5706)..

3 0
3 years ago
Evaluate the logarithm. log7 49
s2008m [1.1K]

Answer:

Step-by-step explanation:

Rewrite log7(49)=x log 7 ( 49 ) = x in exponential form using the definition of a logarithm. If x and b are positive real numbers and b does not equal 1 , then logb(x)=y log b ( x ) = y is equivalent to by=x b y = x .

5 0
3 years ago
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You roll a pair of fair dice until you roll “doubles” (i.e., both dice are the same). what is the expected number, e[n], of roll
bonufazy [111]

We need to define our outcomes and events.

 

Finding the probability<span> of each event occurring separately, and then multiplying the probabilities is the step to <span>finding  the probability</span> of two independent events that occur in sequence.

</span>

<span>
To solve this problem, we take note of this:</span>

 

The roll of the two dice are denoted by the pair

(I, j) ∈ S={ (1, 1),(1, 2),..., (6,6) }

Each pair is an outcome. There are 36 pairs and each has probability 1/36. The event “doubles” is { (1, 1),(2, 2)(6, 6) } has probability p= 6/36 = 1/6. If we define ”doubles” as a successful roll, the number of rolls N until we observe doubles is a geometric (p) random variable and has expected value E[N] = 1/p = 6.

3 0
3 years ago
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nasty-shy [4]

Answer:

The first day of spring is  Thursday, March 19th.

The first day of summer is June 20th. So, Spring ends on June 20th.

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<em>I looked it up on the internet instead of asking on brainly.</em>

8 0
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puteri [66]
You’re right, it’s just 100/25.
3 0
3 years ago
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