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2 years ago

Which of the following describes point H? (-3, 3) (3, 3) (-3, -3) (3, -3)

Mathematics

2 answers:

Anastaziya [24]2 years ago

8 0

Answer:

So coordinates of H will be ( 3, -3 )

Step-by-step explanation:

In the given graph we have to choose the point H defined by ordered pair.

In this graph one vertical line ( y-axis ) and one horizontal line ( x-axis ) are intersecting each other at a point (origin).

Point H is 3 block away from origin horizontally on x-axis and 3 block away vertically on y-axis.

Now we should always remember there are 4 quadrants in a graph

Point F is in 1st, J in second, E in 3rd and H in 4th quadrant.

2nd quadrant ⇒ ( - , + )

3rd quadrant ⇒ ( -, - )

4th quadrant ⇒ ( +, - )

So coordinates of H will be ( 3, -3 )

Dominik [7]2 years ago

3 0

H (3,-3)

hope it helps

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number of successes

$k = 235$

number of failure

$y = 265$

The criteria are met

The sample proportion is $\r p = 0.47$

$E =4.4 \%$

What this mean is that for N number of times the survey is carried out that the which sample proportion obtain will differ from the true population proportion will not more than 4.4%

$r = 0.514 = 51.4 \%$

$v = 0.426 = 42.6 \%$

This 95% confidence interval mean that the the chance of the true population proportion of those that are happy to be exist within the upper and the lower limit is 95%

Given that 50% of the population proportion lie with the 95% confidence interval the it correct to say that it is reasonably likely that a majority of U.S. adults were happy at that time

Yes our result would support the claim because

$\frac{1}{3 } \ of N < \frac{1}{2} (50\%) \ of \ N , \ Where\ N \ is \ the \ population\ size$

Step-by-step explanation:

From the question we are told that

The sample size is $n = 500$

The sample proportion is $\r p = 0.47$

Generally the number of successes is mathematical represented as

$k = n * \r p$

substituting values

$k = 500 * 0.47$

$k = 235$

Generally the number of failure is mathematical represented as

$y = n * (1 -\r p )$

substituting values

$y = 500 * (1 - 0.47 )$

$y = 265$

for approximate normality for a confidence interval criteria to be satisfied

$np > 5 \ and \ n(1- p ) \ >5$

Given that the above is true for this survey then we can say that the criteria are met

Given that the confidence level is 95% then the level of confidence is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5 \%$

$\alpha =0.05$

Next we obtain the critical value of $\frac{\alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{ \alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{ \frac{\r p (1- \r p}{n} }$

substituting values

$E = 1.96 * \sqrt{ \frac{0.47 (1- 0.47}{500} }$

$E = 0.044$

=> $E =4.4 \%$

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$\r p - E < p < \r p + E$

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$0.47 - 0.044 < p < 0.47 + 0.044$

$0.426 < p < 0.514$

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Given that 50% of the population proportion lie with the 95% confidence interval the it correct to say that it is reasonably likely that a majority of U.S. adults were happy at that time

Yes our result would support the claim because

$\frac{1}{3 } < \frac{1}{2} (50\%)$

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