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saul85 [17]
3 years ago
5

A triangle has side lengths of 11 cm and 6 cm. Which could be the value of the third side, 21 cm or 14 cm? Is it 14 or 21?

Mathematics
1 answer:
inn [45]3 years ago
8 0

Answer:

14

Step-by-step explanation:

As long as two sides of a triangle added together are larger than the third side, it is an accurate triangle!

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in a given year, the rate of flu infection for the general public was 8.3%. And sample of 200 people who receive the flu vaccine
makkiz [27]

Answer:

\fbox{\begin{minipage}{10em}Option A is correct\end{minipage}}

Step-by-step explanation:

<em>Step 1: Define significance level</em>

In this hypothesis testing problem, significance levels α is selected: 0.05, the associated z-value from Laplace table:

Φ(z) = α - 0.5 = 0.05 - 0.5 = -0.45

=> z = -1.645

<em>Step 2: Define null hypothesis (</em>H_{0}<em>) and alternative hypothesis (</em>H_{1}<em>)</em>

H_{0} : rate of flu infection p = 8.3% or 8.3/100 = 0.083

H_{1} : rate of flu infection p < 8.3% or 8.3/100 = 0.083

<em>Step 3: Apply the formula to check test statistic:</em>

K = \frac{f - p}{\sqrt{p(1 - p)} } * \sqrt{n}

with f is actual sampling percent, p is rate of flu infection of H_{0}, n is number of samples.

The null hypothesis will be rejected if K < z

<em>Step 4: Calculate the value of K and compare with </em>z

K = \frac{(\frac{3.5}{100})  - 0.083}{\sqrt{0.083(1 - 0.083)} } * \sqrt{200} = -2.46  

We have -2.46 < -1.645

=>This is good evidence to reject null hypothesis.

=> The actual rate is lower. (As H_{1} states)

Hope this helps!

:)

5 0
3 years ago
Find the value of Y! please help
Maurinko [17]

Answer:

y = 5.6

Step-by-step explanation:

Use Sine

Sine = \frac{opposite}{hypothenuse}

Sine 45 = \frac{y}{18}

Sine of 18 is 0.309

0.309 = \frac{y}{18}

Multiply 18 on both sides

0.309 x 18 = \frac{y}{18} x 18

5.562 = y

Round to the nearest tenth:

5.562 = 5.6

3 0
3 years ago
What does -1/2 * 1/2 = to
sertanlavr [38]
The answer is -1/4.

Hope this helps
3 0
3 years ago
Read 2 more answers
a club is holding a raffle. Ten thousand tickets have been sold for $2 each. There will be a 1st prize of $3000, 3 second prizes
seropon [69]

Answer:

1000(1/20000) +

300(2/20000) +

10(20/20000) +

=

1800/20000 = .09

Step-by-step explanation:

Each ticket purchased is expected to win 9 cents

Each ticket purchased cost 75 cents

If you interpret expected winnings per ticket to include the cost then each ticket is expected to lose 66 cents.

4 0
3 years ago
PLEASE HURRY......What is the absolute value of –8? Use the number line to help answer the question. A number line going from ne
Hatshy [7]

Answer:

8

Step-by-step explanation:

8 0
3 years ago
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