$\bf sec\left( \frac{\pi }{6} \right)\qquad recall\to sec(\theta)=\cfrac{1}{cos(\theta)}\qquad thus
\\\\
sec\left( \frac{\pi }{6}\right)\iff \cfrac{1}{cos\left( \frac{\pi }{6}\right)}
\\\\\\
\textit{check your Unit Circle for what the }cos\left( \frac{\pi }{6}\right)\ is
\\\\\\
\cfrac{1}{\frac{\sqrt{3}}{2}}\implies \cfrac{\frac{1}{1}}{\frac{\sqrt{3}}{2}}\implies 
\cfrac{1}{1}\cdot \cfrac{2}{\sqrt{3}}\implies \cfrac{2}{\sqrt{3}}$

3 0

3 years ago

If men's heights are normally distributed with mean 68 and standard deviation 3.1 inches, and women's heights are normally distr

stira [4]

Answer:

the probability that the woman is taller than the man is 0.1423

Step-by-step explanation:

Given that :

the men's heights are normally distributed with mean $\mu$ 68

standard deviation $\sigma$ = 3.1

And

the women's heights are normally distributed with mean $\mu$ 65

standard deviation $\sigma$ = 2.8

We are to find the probability that the woman is taller than the man.

For woman now:

mean $\mu$ = 65

standard deviation $\sigma$ = 2.8

$P(x > 68 ) = 1 - p( x< 68)$

$\\ 1 -p \ P[(x - \mu ) / \sigma < (68-25)/ 2.8]$

= 1-P (z , 1.07)

Using z table,

= 1 - 0.8577

= 0.1423

Thus, the probability that the woman is taller than the man is 0.1423

6 0

3 years ago

Hey or range for each

topjm [15]

Answer : 100 meters 2:35/mile or 1:36/km 2:49/mile or 1:45/km

200 meters 2:35/mile or 1:36/km 2:52/mile or 1:47/km

400 meters 2:54/mile or 1:48/km 3:12/mile or 1:59/km

800 meters 3:23/mile or 2:06/km 3:48/mile or 2:21/km

1,500 meters 3:41/mile or 2:17/km 4:07/mile or 2:34/km

1 mile 3:43/mile or 2:19/km 4:13/mile or 2:37/km

5K 4:04/mile or 2:31/km 4:34/mile or 2:50/km

10K 4:14/mile or 2:38/km 4:45/mile or 2:57/km

Half Marathon

(13.11 miles / 21.098 km) 4:27/mile or 2:46/km 4:58/mile or 3:05/km

Marathon

(26.22 miles / 42.195 km) 4:41/mile or 2:55/km 5:10/mile or 3:13/km

Step-by-step explanation: sorry if this is wromg :/ ( but if it is please add me as the brainist answer )

7 0

3 years ago

A bottle contains a label stating that it contains pills with 500 mg of vitamin C, and another bottle contains a label stating t

nevsk [136]

Answer:

Step-by-step explanation:

Rejection of aspirin argument is more dangerous because the incorrect dosage of aspirin may cause more severe adverse reactions than the incorrect dosage of vitamin C. It would be prudent to use a lower level of significance to test the aspirin argument.

8 0

3 years ago