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zysi [14]
3 years ago
8

Evaluate the expression below for x = 4. 3x + 2 • X - 81 - 12

Mathematics
1 answer:
kompoz [17]3 years ago
8 0

Step-by-step explanation:

3(4)+2x4-81-12

12+8-81-12

ans=-73

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A county is considering rasing the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 m
DochEvi [55]

Answer:

No, at alpha equals 0.10​, we do not have enough evidence to support the​ county's claim.

Step-by-step explanation:

We are given that a county is considering raising the speed limit on a road because they claim that the mean speed of vehicles is greater than 30 miles per hour.

A random sample of 15 vehicles has a mean speed of 31 miles per hour and a standard deviation of 4.7 miles per hour.

<em><u>Let </u></em>\mu<em><u> = true mean speed of the vehicles.</u></em>

SO, <u>Null Hypothesis</u>, H_0 : \mu \leq  30 miles per hour   {means that the mean speed of vehicles is lesser than or equal to 30 miles per hour}

<u>Alternate Hypothesis,</u> H_A : \mu > 30 miles per hour   {means that the mean speed of vehicles is greater than 30 miles per hour}

The test statistics that will be used here is <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 speed of 15 vehicles = 31 mph

             s = sample standard deviation = 4.7 mph

             n = sample of vehicles = 15

So, <em><u>test statistics</u></em>  =   \frac{31-30}{\frac{4.7}{\sqrt{15} } }  ~ t_1_4

                               =  0.824

<u><em>Hence, the value of test statistics is 0.824.</em></u>

<em />

<em>Now at 0.10 significance level, the t table gives critical value of 1.345 at 14 degree of freedom for right-tailed test. Since our test statistics is less than the critical value of t as 0.824 < 1.345, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.</em>

<em />

Therefore, we conclude that the mean speed of vehicles is lesser than or equal to 30 miles per hour which means that the county's claim is not supported.

4 0
3 years ago
Which system of equations is equivalent to the system of equations shown?
Ivanshal [37]
<span>I can solve for x and y
A) 2x - 4y = 12
A) 2x = 4y + 12
A) x = 2y + 6
Substituting into B
B) 3* (2y +6)  - 5y = 20
B) 6y + 18 -5y = 20
B) y = 2
B) x = 10


</span>
4 0
3 years ago
Which number line best shows how to solve −8 − (−2)?
Flauer [41]

Answer:

It would be the third one

Step-by-step explanation:

The one with the shortest top arrow because if you have -8 and you minus that by -2 that cancels out and instead the minus turns into a plus and the 2 becomes positive therefore it becomes -6

7 0
2 years ago
Giving brainliest to the person who answers correctly. <br> What type of angles are these?
siniylev [52]

Answer: I believe those would be opposite angles (aka vertically opposite angles).

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2 years ago
Marks ratio is 3 tablespoons sugar to 4 tablespoons Milk.Shari is using 6 tablespoons of sugar to 8 tablespoons of milk. Eve is
Ganezh [65]
The awnser is Shari is using the same ratio as Mark's
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