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3 years ago

Higher Order Thinking Ten fewer locks

Mathematics

1 answer:

Reika [66]3 years ago

7 0

Answer:

14 locks

Step-by-step explanation:

Ten fewer locks were sold at a bike store on Wednesday than on Tuesday.

So 33 - 10 = 23

23 locks on Wednesday

Now, subtract 23 by 9

23 - 9 = 14

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Plz hurry 15 points

finlep [7]

Answer:

Step-by-step explanation:

3^3 is 27 so

27·27/3^4

3^4 is 81 so

27·27/81

27·27 is 729 so

729/81

729÷81 is 9

5 0

3 years ago

When the author visited Dublin, Ireland (home of Guinness Brewery employee William Gosset, who first developed the t distributio

disa [49]

Answer:

The Decision Rule

Fail to reject the null hypothesis

The conclusion

There is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi

Step-by-step explanation:

From the question we are told that

The data is

Car Ages 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 4 1 6 1 8

Taxi Ages 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 10 8 4 3 4

The level of significance $\alpha = 0.05$

Generally the null hypothesis is $H_o : \mu_1 - \mu_2 = 0$

the alternative hypothesis is $H_a : \mu_1 - \mu_2 > 0$

Generally the sample mean for the age of cars is mathematically represented as

$\= x_1 = \frac{\sum x_i }{n}$

=> $\= x_1 = \frac{4+ 0+ 8 +11 + \cdots + 8
}{27}$

=> $\= x_1 = 5.56$

Generally the standard deviation of age of cars

$\sigma _1 = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }$

=> $\sigma _1 = \sqrt{\frac{(4 - 5.56)^2 + (0 - 5.56)^2+ (8 - 5.56)^2 + \cdots + 8}{ 27} }$

=> $\sigma _1 = 3.88$

Generally the sample mean for the age of taxi is mathematically represented as

$\= x_2 = \frac{\sum x_i }{n}$

=> $\= x_2 = \frac{8 +8 +0 + \cdots + 4
}{20}$

=> $\= x_2 = 5.85$

Generally the standard deviation of age of taxi

$\sigma _2 = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }$

=> $\sigma _2 = \sqrt{\frac{(8 - 5.85)^2 + (8 - 5.85)^2+ (0 - 5.85)^2 + \cdots + 8}{ 20} }$

=> $\sigma _2 = 2.83$

Generally the test statistics is mathematically represented as

$t = \frac{(\= x_ 1 - \= x_2 ) - 0}{\sqrt{\frac{\sigma^2_1}{n_1} + \frac{\sigma^2_2}{n_2} } }$

=> $t = \frac{(5.56 - 5.85 ) - 0}{\sqrt{\frac{(3.88)^2}{27} + \frac{(2.83)}{20} }}$

=> $t = -0.30$

Generally the degree of freedom is mathematically represented as

$df = n_1 + n_2 -2$

$df = 27 + 20 -2$

$df = 45$

From the t distribution table the $P(t > t )$ at the obtained degree of freedom = 45 is

$P(t > -0.30 ) = 0.61722067$

So the p-value is

$p-value = P(t > T) = 0.61722067$

From the obtained values we see that the p-value > $\alpha$ hence we fail to reject the null hypothesis

Hence the there is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi

5 0

3 years ago

Help ME SOLVE THIS PLEASE

Cloud [144]

Answer:

The answer should be -2.2

6 0

3 years ago

How do you find the perimeter of a triangle?

vazorg [7]

To find the perimeter<span> of a polygon, take the sum of the length of each side. The formula for </span>perimeter<span> of a triangle would be the sum of the three side lengths (a +b+c). In the case, where it is a regular polygon, the perimeter would be 3 times the side length. Hope this answers the question.</span>

7 0

3 years ago

Find the volume and tell me if cavalieri's principle applies to the 2 figures. Show work

Hunter-Best [27]

Answer:

960vol cavalieri's principle applies

Step-by-step explanation:

8x6x20 for vol

"Cavalieri's Principle. If, in two solids of equal altitude, the sections made by planes parallel to and at the same distance from their respective bases are always equal, then the volumes of the two solids are equal "(Kern and Bland 1948)

both same height both equal in all ways

7 0

3 years ago