SimplifyLaTeX: \dfrac{\cos^2\alpha}{1-\sin\alpha}-1

Select proportional or not proportional to correctly classify the pair of ratios. 1.2/3 and 1.8/4.5

Gnesinka [82]

Answer:

Proportional.

Step-by-step explanation:

Find the cross products. If they are same, then they are proportional.

$\dfrac{1.2}{3} = \dfrac{1.8}{4.5}$

Cross multiply,

1.2 * 4 .5 = 3*1.8

5.40 = 5.4

So, they are proportional.

Or

Multiply the numerator and denominator of 1.2/3 by 1.5

$\dfrac{1.2*1.5}{3*1.5}=\dfrac{1.8}{4.5}$

From this we come to know they are proportional

Or

1.2 : 3 :: 1.8 : 4.5

Product of means = 3*1.8 = 5.4

Product of extremes = 1.2*4.5 = 5.4

Product of means = product of extremes. So, they are proportional.

6 0

2 years ago

Read 2 more answers

What is the value of n?

balu736 [363]

I am not sure but I think it is d.

3 0

2 years ago

Read 2 more answers

A sample of 47 observations is selected from a normal population. The sample mean is 30, and the population standard deviation i

erma4kov [3.2K]

Answer:

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 29

Sample mean, $\bar{x}$ = 30

Sample size, n = 47

Alpha, α = 0.05

Population standard deviation, σ = 5

First, we design the null and the alternate hypothesis

$H_{0}: \mu \leq 29\\H_A: \mu > 29$

a) This is a one-tailed test because the alternate hypothesis is in greater than direction.

We use One-tailed z test to perform this hypothesis.

b) $z_{stat} > z_{critical}$ , we reject the null hypothesis and accept the alternate hypothesis and if $z_{stat} < z_{critical}$ , we accept the null hypothesis and reject the alternate hypothesis.

c) Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{30 - 29}{\frac{5}{\sqrt{47}} } = 1.37$

d) Now, $z_{critical} \text{ at 0.05 level of significance } = 1.64$

Since,

$z_{stat} < z_{critical}$

We accept the null hypothesis and reject the alternate hypothesis. There is no evidence to conclude that the population mean is greater than 29. The population mean is less than or equal to 29.

e) P-value is 0.0853

On the basis of p value we again accept the null hypothesis.

5 0

3 years ago

Max goes to school which is 5 miles away he skips 3/14 of the way and then walk the rest of the way how many miles does he skip

baherus [9]

Answer:

1.07142857143 (1 rounded)

Step-by-step explanation:

3/14 of 5 is 1.07142857143

8 0

2 years ago

From data gathered in the period 2008−2012, the yearly value of U.S. exports can be modeled by the function E(x) = −228x3 + 2,25

tester [92]

Answer:you got this:)

Step-by-step explanation:

5 0

2 years ago