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Elan Coil [88]
3 years ago
15

Find the focus of the parabola y = –1/4(x + 3)^2 + 2.

Mathematics
1 answer:
DIA [1.3K]3 years ago
6 0
I think the answer is b or d I hop is helping you
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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 = <u><em>mean waiting time for bus number 14.</em></u>

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 <u>One-sample t test statistics</u> 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, <u><em>test statistics</em></u> =  \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 <u>we reject our null hypothesis</u>.

Therefore, we conclude that the mean waiting time is less than 10 minutes.

5 0
3 years ago
10 POINTS! Help please... <br> i will give brainliest.
SVETLANKA909090 [29]

Answer:

39

Step-by-step explanation:

using line and triangle property you can solve this question

4 0
3 years ago
Find the product of<br> (-2 x5y3 )( 3x2y )
Y_Kistochka [10]

Answer:

(-2 x5y3 )( 3x2y )= -180 x2 y2

7 0
2 years ago
Identify the range from the graph ​
daser333 [38]

Answer:

2

Step-by-step explanation:

2324343542352454232

6 0
3 years ago
Read 2 more answers
Two numbers are randomly selected on a number line numbered 1 through 9. The same number can be chosen twice. What is the probab
Effectus [21]
(3)/(8+7+6+5+4+3+2+1)(no repitition)
=3/36
=1/12
4 0
3 years ago
Read 2 more answers
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