What is equivalent to 12\16?

Simply the following expression 32 divided by (-2)

Musya8 [376]

32 divided by -2 equals -16. c:

7 0

4 years ago

A public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes. Kar

ch4aika [34]

Answer:

We conclude that the mean waiting time is less than 10 minutes.

Step-by-step explanation:

We are given that a public bus company official claims that the mean waiting time for bus number 14 during peak hours is less than 10 minutes.

Karen took bus number 14 during peak hours on 18 different occasions. Her mean waiting time was 7.8 minutes with a standard deviation of 2.5 minutes.

Let $\mu$ = mean waiting time for bus number 14.

So, Null Hypothesis, $H_0$ : $\mu \geq$ 10 minutes {means that the mean waiting time is more than or equal to 10 minutes}

Alternate Hypothesis, $H_A$ : $\mu$ < 10 minutes {means that the mean waiting time is less than 10 minutes}

The test statistics that would be used here 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 waiting time = 7.8 minutes

s = sample standard deviation = 2.5 minutes

n = sample of different occasions = 18

So, test statistics = $\frac{7.8-10}{\frac{2.5}{\sqrt{18} } }$ ~ $t_1_7$

= -3.734

The value of t test statistics is -3.734.

Now, at 0.01 significance level the t table gives critical value of -2.567 for left-tailed test.

Since our test statistic is less than the critical value of t as -3.734 < -2.567, 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 mean waiting time is less than 10 minutes.

5 0

4 years ago

your heart pumps about 5 quarts of blood through its chamber every 60 seconds. a swimming pool, holds 65,000 gallons of water. t

Semmy [17]

First, we find out how many quarts of water is in a swimming pool, so we do the following:
$65000 gallons * \frac{4 quarts}{1 gallon} = 260000 quarts$

And since we know the heart pumps 5 quarts of blood per 60 seconds, and there is a total of 260000 quarts to pump, we can find the amount of time it takes to pump the blood by doing the following:

$260000 quarts * \frac{60 seconds}{5 quarts} = 3120000 seconds$

so now we know that it takes 3120000 seconds to pump the blood. All that is left is find out how many weeks is equal to 3120000 seconds, so we do the following:
 $3120000 seconds * \frac{1 week}{604800 seconds} = 5.16 weeks$

So the answer is approximately 5.16 weeks

5 0

4 years ago

A large totem pole near Kalama, Washington, is 100 feet tall. On a particular day at noon it casts a 219-foot shadow. What is th

zhenek [66]

Answer: Angle of elevation of sun at that time is 24.51° .

Step-by-step explanation:

Since we have given that

Height of a large totem pole near Kalama, Washington = 100 feet

Length of a shadow at noon = 219 foot

We need to find the angle of elevation of sun at that time .

As we know the formula for "Tangent ":

$\tan\theta=\frac{AB}{BC}\\\\\tan\theta=\frac{100}{219}\\\\\tan\theta=0.456\\\\\theta=\tan^{-1}(0.456)\\\\\theta=24.51\textdegree$