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choli [55]
3 years ago
13

Write an equation of a line through the given points (5,0);(7,6)

Mathematics
1 answer:
KATRIN_1 [288]3 years ago
4 0
Y - y1 = m( x - x1); where m = (y2 - y1)/(x2 - x1);
We have m =  (6-0)/(7-5) = 6 / 2 = 3 ;
The equation of the line is: y - 0 = 3(x-5);
Finally: y = 3x - 15.
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A particular brand of tires claims that its deluxe tire averages at least 50,000 miles before it needs to be replaced. From past
Minchanka [31]
<h2><u>Answer with explanation</u>:</h2>

Let \mu be the distance traveled by deluxe tire .

As per given , we have

Null hypothesis : H_0 : \mu \geq50000

Alternative hypothesis : H_a : \mu

Since H_a is left-tailed and population standard deviation is known, thus we should perform left-tailed z-test.

Test statistic : z=\dfrac{\overlien{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}

where, n= sample size

\overline{x}= sample mean

\mu= Population mean

s=sample standard deviation

For n= 31,\ \sigma=8000,\ \overline{x}=46,800\ \&\ s=46,800, we have

z=\dfrac{46800-50000}{\dfrac{8000}{\sqrt{31}}}=-2.23

By using z-value table,

P-value for left tailed test : P(z≤-2.23)=1-P(z<2.23)   [∵P(Z≤-z)=1-P(Z≤z)]

=1-0.9871=0.0129

 Decision : Since p value (0.0129) < significance level  (0.05), so we reject the null hypothesis .

[We reject the null hypothesis when p-value is less than the significance level .]

Conclusion : We do not have enough evidence at 0.05 significance level to support the claim that t its deluxe tire averages at least 50,000 miles before it needs to be replaced.

4 0
3 years ago
Which question is a statistical question?
Ray Of Light [21]

Answer:

How long does it take the students in my class to travel to school?

Step-by-step explanation:

A statistical question is one that can be answered by collecting data and where there will be variability in that data.

7 0
3 years ago
A shirt company has 4 designs each of which can be made with short or long sleeves. There are 7 color patterns available. How ma
aleksley [76]
4 designs
Short/Long sleeves = 2 types of sleeves
7 different patterns

4 x 2 = 8
8 x 7 = 56

Answer:
The company sells 56 different types of shirts.

EDITED

Hope my answer helps :)
6 0
3 years ago
Read 2 more answers
The PARTNERS at Starbucks receive tips ONCE a week. The TOTAL of tips were $2.03 per hour. Create a function to find the amount
serg [7]
Nothing to confuse. The number of partners are 3. $2.03 is the amount of tips they receive per hour. So devide $2.03 to get the amount of tip that one partner receives hourly, which is $0.68.

Now to create a function, it's clearly that the number of hours is the variable x so it would change depending on how many hours each employee has worked. So the equation will be :

y = 0.68x

Apply the number of hours of each employee and get the total of tip they receive per hour.

Edit : if the partners who are working is unknown you can write the equation based on this :

y = ((2.03)x)/n

n is the number of partners who are working so the amount of tip they will receive will depend on how many employees are working in the cafe.

Hope this helps !
8 0
3 years ago
7m − 4 − 9m − 36 = 0
Hatshy [7]

Answer:

-20

Step-by-step explanation:

7m − 4 − 9m − 36 = 0

-2m - 4 - 36 = 0

-2m - 40 = 0

-2m = 40

m = -20

6 0
3 years ago
Read 2 more answers
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