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Strike441 [17]
1 year ago
14

How many solutions for x does the following equation have?

Mathematics
1 answer:
Zepler [3.9K]1 year ago
6 0

Answer:

c. 0

Step-by-step explanation:

3(x+8) - 1 = 3x+4

3x+24-1 = 3x+4

3x+23 = 3x+4

There are no solutions since both equations have the same slope meaning they are parallel and they will never intersect since they have different y-intercepts.

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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
Mathematics.................
Sergeu [11.5K]

Answer:

this Is 3 and the second one is also 3

8 0
3 years ago
Read 2 more answers
30 packages a minute are unloaded from a truck that has 2700 packages. How long would it take to unload the truck?
KATRIN_1 [288]
It will take 90 minutes which is also an hour and a half.

Please vote my answer brainliest. thanks!
3 0
3 years ago
ABC is reflected across x = 1 and y = -3. What are the coordinates of the reflection image of B after both reflections?A. (-7, -
Dima020 [189]

Answer:

The correct option is C.

Step-by-step explanation:

From the given figure it is noticed that the coordinates of B are (-5,-7).

If ABC is reflected across x = 1, then

(x,y)\rightarrow(1-(x-1),y)

(x,y)\rightarrow(2-x,y)

(-5,-7)\rightarrow(2+5,-7)

(-5,-7)\rightarrow(7,-7)

If ABC is reflected across y =-3.

(x,y)\rightarrow(x,-3-(y-(-3)))

(x,y)\rightarrow(x,-6-y)

(7,-7)\rightarrow(7,-6-(-7))

(7,-7)\rightarrow(7,1)

Therefore option C is correct.

8 0
3 years ago
If you can guess my name in the comments section I will let you answer and you will get 100 points
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Idk if your a big or girl so here are my guesses...
Henry?????
Puppy?????
Max????
Emily?????
Bethany???
Margaret???
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Arleny???
3 0
3 years ago
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