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3 years ago

Lim x tends to 0 sinax/tanbx

1 answer:

8 0

Express tan in terms of sin and cos

= sin ax cos bx / sin bx

Now I'm stuck! sorry

For what its worth Ive drawn the graph and the answer is a/b

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The week before the bill to repeal the Affordable Care Act came up for consideration in the Senate, one polling agency increased

Lady_Fox [76]

Answer:

Step-by-step explanation:

As sample size increase the variability of the estimate of the proportion would decreases ( reduces)

The formula of variance of the estimator of the proportion is as

$
Var(\hat p)=\frac{p*(1-p)}{n}
$

Since the denominator of the formula of the variance of sample proportion is n

so as n increase the variance of it decrease.

The center of the estimate of proportion would same

Because $E(\hat p)=p
$

which does not affect the value of n ( sample size).

4 0

3 years ago

An industrial expert claims that the average useful lifetime of a typical car transimssion which comes with ten years warranty i

lesya692 [45]

Answer:

a. none of these answers

Data provides sufficient evidence, at 1% significance level, to support the expert's claim. In addition the p-value (or the observed significance level) is equal to P( T >3.281)

Step-by-step explanation:

Data given and notation

$\bar X=13.5$ represent the mean height for the sample

$s=3.2$ represent the sample standard deviation for the sample

$n=9$ sample size

$\mu_o =10$ represent the value that we want to test

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 10 years, the system of hypothesis would be:

Null hypothesis: $\mu \leq 10$

Alternative hypothesis: $\mu > 10$

If we analyze the size for the sample is < 30 and we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{13.5-10}{\frac{3.2}{\sqrt{9}}}=3.28$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=9-1=8$

Since is a one side right tailed test the p value would be:

$p_v =P(t_{(8)}>3.281)=0.00558$

Conclusion

If we compare the p value and the significance level given $\alpha=0.01$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, so we can't conclude that we have a mean higher than 10 years at 1% of significance.

a. none of these answers

3 0

3 years ago

In the new logo, what fraction of the parallelogram is shaded?

Harman [31]

D. 1/4 because imagine splitting that parallelogram in half, and you will see on the first half that half of that half is shaded. So that part is 1/2 and if you add the second half which isn't shaded at all, that's 0/2 so do 1/2 plus 0/2 and you will get 1/4

7 0

3 years ago

How many solutions will there be to the following equation? 16 x squared = 100 a. more than 2 solutions b. no solution c. 1 solu

blagie [28]

Answer:

The answer is B. No solution

Step-by-step explanation:

16x^2 is not equal to 100, so the equation is false, and there is no solution for x.

4 0

3 years ago

the cost of circular mirrors is directly proportional to the square of the diameter. a circular mirror with a diameter of 60cm c

defon

When 'y' is directly proportional to 'x', we express this by

y = kx

where 'k' is the constant, which we need to work out first

Cost of circular mirrors = (k) (diameter)²
50 = k(60)²
50 ÷ 3600 = k

the proportional formula is

y = (1/72)x²

The cost of the mirror when diameter = 90cm

y = (1/72) (90)²
y = 112.5

Answer: $112.50

6 0

4 years ago