Which graph shows a system of equations with the solution (5,-3)?

Mathematics

1 answer:

zubka84 [21]3 years ago

8 0

Answer:

the first one

Step-by-step explanation:

the two lines intersect exactly at 5, -3

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An article titled "Teen Boys Forget Whatever It Was" appeared in the Australian newspaper The Mercury (April 21, 1997). It descr

Step2247 [10]

Answer:

We conclude that the average attention span for teenage boys is less than 5 minutes.

Step-by-step explanation:

We are given that the mean time to distraction for teenage boys working on an independent task was 4 minutes.

Suppose that this mean was based on a random sample of 50 teenage Australian boys and that the sample standard deviation was 1.4 minutes.

Let $\mu$ = average attention span for teenage boys

SO, Null Hypothesis, $H_0$ : $\mu \geq$ 5 minutes {means that the average attention span for teenage boys is more than or equal to 5 minutes}

Alternate Hypothesis, $H_A$ : $\mu$ < 5 minutes {means that the average attention span for teenage boys is less than 5 minutes}

The test statistics that will be used here is One-sample t test statistics as we don't know about the population standard deviation;

T.S. = $\frac{\bar X -\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean attention time span for teenage boys = 4 min

s = sample standard deviation = 1.4 min

n = sample of teenage boys = 50

So, the test statistics = $\frac{4-5}{\frac{1.4}{\sqrt{50} } }$ ~ $t_4_9$

= -5.051

Now at 0.01 significance level, the t table gives critical value of -2.405 at 49 degree of freedom for left-tailed test. Since our test statistics is less than the critical value of t as -2.405 > -5.051, so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.

Therefore, we conclude that the average attention span for teenage boys is less than 5 minutes.

8 0

4 years ago

suppose we want to choose 6 letters without replacement from 13 distinct letters. A) how many ways can this be done if order doe

kiruha [24]

Answer: A) 1716 B) 1235520

Step-by-step explanation: