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katrin [286]
3 years ago
11

Find the value of x on this triangle

Mathematics
1 answer:
blondinia [14]3 years ago
6 0
Look at the picture.

ΔABD and ΔBCD are similar, therefore:

\dfrac{y}{5}=\dfrac{11}{y}\ \ \ |\cross\ multiply\\\\y^2=55\to y=\sqrt{55}

Use Pythagorean theorem:

x^2=5^2+(\sqrt{55})^2\\\\x^2=25+55\\\\x^2=80\to x=\sqrt{80}\\\\x=\sqrt{16\cdot5}\\\\x=\sqrt{16}\cdot\sqrt5\\\\\boxed{x=4\sqrt5}

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In a study of government financial aid for college​ students, it becomes necessary to estimate the percentage of​ full-time coll
ICE Princess25 [194]

Answer:

a) n = 1037.

b) n = 1026.

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}

The margin of error is:

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

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.

​(a) Assume that nothing is known about the percentage to be estimated.

We need to find n when M = 0.04.

We dont know the percentage to be estimated, so we use \pi = 0.5, which is when we are going to need the largest sample size.

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

0.04 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.04\sqrt{n} = 2.575*0.5

(\sqrt{n}) = \frac{2.575*0.5}{0.04}

(\sqrt{n})^{2} = (\frac{2.575*0.5}{0.04})^{2}

n = 1036.03

Rounding up

n = 1037.

(b) Assume prior studies have shown that about 55​% of​ full-time students earn​ bachelor's degrees in four years or less.

\pi = 0.55

So

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

0.04 = 2.575\sqrt{\frac{0.55*0.45}{n}}

0.04\sqrt{n} = 2.575*\sqrt{0.55*0.45}

(\sqrt{n}) = \frac{2.575*\sqrt{0.55*0.45}}{0.04}

(\sqrt{n})^{2} = (\frac{2.575*\sqrt{0.55*0.45}}{0.04})^{2}

n = 1025.7

Rounding up

n = 1026.

6 0
3 years ago
PLEASE HELP
valina [46]

Answer:

each side of the patio measures ft.

5 0
2 years ago
Read 2 more answers
How many tiles would I need to by if each tile was 2ft by 2Ft and the square footage was 69X69
valina [46]
This is the formula you would use to calculate how many tiles you would need.

# of tiles you need = Total square footage ÷ square footage of each tile 


Total square footage: 69x69 = 4761 square feet
Square footage of each tile = 2x2 = 4 square feet

# of tiles you need =
4761 ÷ 4 = 1190.25 

You will need 1190.25 tiles.
3 0
3 years ago
Quadrilateral ABCD has opposite sides that are parallel and side AB congruent to side DC. What classification can be given to AB
Helen [10]
I think the correct answer from the choices listed above is option B. Quadrilateral ABCD must be a rectangle because it is characterized by having <span>opposite sides that are parallel and side AB congruent to side DC which are characteristics of a rectangle.</span>
8 0
4 years ago
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the length of square A is the same as the perimeter of square B. The area of square A is 75 cm. Estimate the length of square B.
Elena-2011 [213]

Answer:300cm

Step-by-step explanation:

3 0
3 years ago
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