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tensa zangetsu [6.8K]
3 years ago
7

Can the set of lengths be the side lengths of a right triangle? 7ft, 12ft, 17 ft Question 2 options:

Mathematics
1 answer:
Elena-2011 [213]3 years ago
6 0
I don't believe so, being that there are no sides that would equal up flush with each other.
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The brand manager for a brand of toothpaste must plan a campaign designed to increase brand recognition. He wants to first deter
VMariaS [17]

Answer:

He must survey 123 adults.

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 z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is:

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

Assume that a recent survey suggests that about 87​% of adults have heard of the brand.

This means that \pi = 0.87

90% confidence level

So \alpha = 0.1, z is the value of Z that has a p-value of 1 - \frac{0.1}{2} = 0.95, so Z = 1.645.

How many adults must he survey in order to be 90​% confident that his estimate is within five percentage points of the true population​ percentage?

This is n for which M = 0.05. So

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

0.05 = 1.645\sqrt{\frac{0.87*0.13}{n}}

0.05\sqrt{n} = 1.645\sqrt{0.87*0.13}

\sqrt{n} = \frac{1.645\sqrt{0.87*0.13}}{0.05}

(\sqrt{n})^2 = (\frac{1.645\sqrt{0.87*0.13}}{0.05})^2

n = 122.4

Rounding up:

He must survey 123 adults.

6 0
2 years ago
(5, -20)and<br> (3, n) .<br> Find<br> n .
cricket20 [7]

Step-by-step explanation: To solve this proportion for n, we can use cross products.

Image provided.

6 0
3 years ago
Read 2 more answers
I need to know if it’s A B C OR D
Liula [17]

SOLUTION

Consider the property, opposite angle of a cyclic quadrilateral are supplementary

hence

\angle NMP+\angle NOP=180^0

Recall that

\begin{gathered} \angle NMP=\angle M=(8x-24)^0 \\ \text{and } \\ \angle NOP=\angle O=(4x)^0 \end{gathered}

Hnece, we have that

\begin{gathered} \angle M+\angle O=180^0(opposite\text{ angles of a cyclic quadrilateral)} \\ (8x-24)^0+4x^0=180^0 \end{gathered}

Then

\begin{gathered} 8x-24+4x=180 \\ 8x+4x-24=180 \\ 12x-24=180 \\ \text{Add 24 t o both sides } \\ 12x-24+24=180+24 \\ 12x=204 \\ \text{divide both sides by 12} \\ \frac{12x}{12}=\frac{204}{12} \\ \text{Then} \\ x=17 \end{gathered}

Hence

x=17

Since

\begin{gathered} \angle NOP=(4x)^0 \\ \text{substitute the value of x, we have } \\ \angle NOP=4\times17=68^0 \\ \text{Hence } \\ \angle NOP=68^0 \end{gathered}

Therefore

The measure of angle NOP is 68⁰

Answer; 68⁰ (The fourth Option )

5 0
1 year ago
Which expression is the simplest form of -(2x + y) + 3(x - 4y)?
xenn [34]

Answer:

The answer is x - 13y

Step-by-step explanation:

6 0
2 years ago
Find the perimeter of the figure to the nearest hundredth.​
WITCHER [35]
Perimeter: 36.84 feet

Let’s start with the easy part...all the rectangle pieces 6 x 3 = 18 feet

We know from subtracting the rectangle length (6ft) from the total length (12 ft) that the diameter of the circle is 6ft.

Circumference = diameter x pi
= 6 x 3.14 = 18.84

We have the circle split into 2 halves, but the circumference remains the same

18 + 18.84 = 36.84
6 0
2 years ago
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