$\frac{1}{sec^2\theta}=cos^2\theta\\\\L=\frac{1}{\left(\frac{1}{cos\theta}\right)^2}=\frac{1}{\frac{1}{cos^2\theta}}=1:\frac{1}{cos^2\theta}=1\cdot\frac{cos^2\theta}{1}=cos^2\theta=R$

8 0

3 years ago

The gas mileage for a certain model of car is known to have a standard deviation of 6 mi/gallon. A simple random sample of 36 ca

xxTIMURxx [149]

The 98% confidence interval for the mean gas mileage for this car model is (26.07,30.73).

Confidence intervals are defined as a range of values with a known chance that a parameter's value falls inside them.

The confidence interval of statistical data is computed using the formula:

$(\overline{x} - Z\frac{\sigma }{n},\overline{x} + Z\frac{\sigma }{n})$

where $\overline{x}$ is the mean, Z is the Z-score corresponding to the confidence interval, σ is the standard deviation, and n is the sample size.

In the question, the sample size (n) = 36, the mean of the sample ( $\overline{x}$ ) = 28.4 mi/gallon, the standard deviation (σ) = 6 mi/gallon.

The confidence interval given to us is 98%.

Z-score corresponding to this (Z) = 2.33.

Thus, the confidence interval can be calculated as:

(28.4 - 2.33{6/√36},28.4 + 2.33{6/√36})

= (28.4 - 2.33,28.4 + 2.33)

= (26.07,30.73).

Thus, the 98% confidence interval for the mean gas mileage for this car model is (26.07,30.73).

Learn more about constructing confidence intervals at

brainly.com/question/17030704

#SPJ4

5 0

2 years ago

Write the product using exponents. 1/5 x 1/5 x 1/5 x 1/5 x 1/5

damaskus [11]

Answer: 1/5 with an exponent of 5.

hope this helps :)

7 0

3 years ago

Paul is building a bridge for a school project and wants to make a right triangle out of three popsicle sticks that measure 8 cm

STatiana [176]

Answer:

No he can't

Step-by-step explanation:

8² = 64

10² = 100

8² + 10² = 164

18² = 324

For a right triangle A²+B²=C²

4 0

3 years ago