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tatyana61 [14]
3 years ago
14

Express this decimal as a fraction. please explain as well.

Mathematics
1 answer:
Vikki [24]3 years ago
8 0

8/10 if simplified 4/5 idk how to explain it tho lol

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A person is watching a boat from the top of a lighthouse. The boat is approaching the lighthouse directly. When first noticed, t
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check the picture below.


bearing in mind that there are 60 minutes in 1 degree, then 16°18' will be 16.3° and likewise 48°51' will be 48.85° if we convert those to degrees only.


\bf y=\cfrac{200}{tan(48.85^o)}~\hspace{10em}x=\cfrac{200}{tan(16.3^o)}-y \\\\\\ x=\cfrac{200}{tan(16.3^o)}-\cfrac{200}{tan(48.85^o)}\implies x\approx 683.95 - 174.78\implies x\approx 509.17

6 0
3 years ago
A physical education teacher wanted to test whether her county’s students are falling below the national proportion. It is known
Ipatiy [6.2K]

Answer:

(a) The population parameter is students who ran the mile in less than 10 minutes.

(b) The hypothesis being tested is:

H0: p = 0.70

Ha: p < 0.70

(c) The significance level is 0.05.

(d) In order to conduct a one-sample proportion z-test, the following conditions should be met:

The data are a simple random sample from the population of interest.

The population is at least 10 times as large as the sample.

n⋅p ≥ 10 and n⋅(1−p) ≥ 10, where n is the sample size and p is the true population proportion.

n⋅p = 756 * 0.70 ≥ 10

n⋅(1−p) = 756 * (1 - 0.70) ≥ 10

All the conditions are met.

(e) p = 504/756 = 0.67

The test statistic, z = (p - p)/√p(1-p)/n = (0.67 - 0.70)/√0.70(1-0.70)/756 = -2.00

(f) The p-value is 0.0228.

(g) Since the p-value (0.0228) is less than the significance level (0.05), we can reject the null hypothesis.

(h) Therefore, we can conclude that less than 70% of students run one mile in less than 10 minutes.

Step-by-step explanation:

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3 years ago
Many communities today are concerned with their local government’s ability to appropriately manage the taxes it collects. If a g
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D.  the county collects donations to build a fountain in city hall.

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3 years ago
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If y=2 when x=3. What is the value of y when x=9?
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Because x was *3 you had to y*3 which is 
y=6

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2 years ago
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A square has a side length of 4 cm. What is the length of the diagonal of the square? What is the length from the corner to the
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The length of the diagonal of the square is the square root of 32 which equals approximately 5.6569.
The length from the corner to the center of the square is half of the diagonal which is 2.8284. I hope this helps!
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