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3 years ago

20. A certain conditional statement is true. Which of

Mathematics

2 answers:

Lynna [10]3 years ago

7 0

C. contrapositive ....... sorry for all the dots had to make it longer lol :/

Cerrena [4.2K]3 years ago

4 0

Answer:

Step-by-step explanation:

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Suppose that a standardized biology exam has a mean score of 80% correct, with a standard deviation of 3. The school administrat

NemiM [27]

Answer:

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

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 $1 - \frac{\alpha}{2}$ .

A sample of 65 students from the freshmen class is used and a mean score of 76% correct is obtained.

This means that $n = 65, \pi = 0.76$

99% confidence level

So $\alpha = 0.005$ , z is the value of Z that has a pvalue of $1 - \frac{0.005}{2} = 0.995$ , so $Z = 2.575$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 - 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.6236$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.76 + 2.575\sqrt{\frac{0.76*0.24}{65}} = 0.8964$

0.6236*100 = 62.36%

0.8964*100 = 89.64%

The 99% confidence interval is between 62.36%(lower bound) and 89.64%(upper bound).

6 0

3 years ago

What are the solutions to 2(x-7)^2 = 32?

MariettaO [177]

$2(x-7)^2 = 32\\
(x-7)^2=16\\
x-7=-4 \vee x-7=4\\
x=3 \vee x=11
$

3 0

3 years ago

What is 648 divided by 4 in long division?

Rainbow [258]

The answer is 162

I hope this help

7 0

3 years ago

Round to the nearest tenth

Verdich [7]

Answer:

17.7

Step-by-step explanation:

$a^{2} =29^{2} -23^{2} \\a=\sqrt{312} \\=17.6635$

4 0

3 years ago

Read 2 more answers

If I have a floor that is 100 3/4 feet by 75 1/2 what is the area

Vlad [161]

The area, assuming is a rectangular floor, is their product.

so simply convert the mixed to improper and get their product.

$\bf \stackrel{mixed}{100\frac{3}{4}}\implies \cfrac{100\cdot 4+3}{4}\implies \stackrel{improper}{\cfrac{403}{4}}
\\\\\\
\stackrel{mixed}{75\frac{1}{2}}\implies \cfrac{75\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{151}{2}}\\\\
-------------------------------\\\\
\cfrac{403}{4}\cdot \cfrac{151}{2}\implies \cfrac{403\cdot 151}{4\cdot 2}\implies \cfrac{60853}{8}\implies 7606\frac{5}{8}~ft^2$

6 0

3 years ago