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Olegator [25]
2 years ago
13

A pencil is `120` millimeters long.

Mathematics
1 answer:
leva [86]2 years ago
6 0

Given the length of the pencil, the length of the marker is 130.8 millimeters.

<h3>What are percentages?</h3>

Percentage can be described as a fraction of an amount expressed as a number out of hundred. Percentages are represented %.

<h3>How long is the marker?</h3>

Length of the marker = (1 + percentage) x length of the pencil

(1.09) x 120 = 130.8 millimeters

To learn more about percentages, please check: brainly.com/question/25764815

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Ax+ay+xa+ya <br> Differentiate
Dmitry_Shevchenko [17]

Answer:

2 a

Step-by-step explanation:

Possible derivation:

d/dx(2 a x + 2 a y)

Differentiate the sum term by term and factor out constants:

= 2 a (d/dx(x)) + d/dx(2 a y)

The derivative of x is 1:

= d/dx(2 a y) + 1 2 a

The derivative of 2 a y is zero:

= 2 a + 0

Simplify the expression:

Answer:  2 a

4 0
3 years ago
The vertices of quadrilateral PQRS are P(4, 5), Q(6, 6), R(9, 4), and S(7, 2). Write a paragraph proof to determine whether quad
Svetlanka [38]
The vector PQ is Q-P = (2, 1). The vector SR is R-S = (2, 2). One is not a multiple of the others, so the vectors are not parallel. In a parallelogram, these vectors would be identical. PQRS is not a parallelogram.

5 0
3 years ago
A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res
AveGali [126]

Answer:

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is supported by the trial results.

Step-by-step explanation:

From the question we are told that

  The population mean is  \mu = 15 \ months

   The sample size is  n =  25

   The sample mean is  \= x  = 17 \ months

   The standard deviation is  s = 5.5 \ months

Let assume the level of significance of this test is  \alpha  = 0.05

    The null hypothesis is  H_o :  \mu = 15

     The alternative hypothesis is  H_a : \mu  > 17

Generally the degree of freedom is mathematically represented as  

         df = n -1

=>       df = 25 -1

=>       df = 24

Generally the test statistics is mathematically represented as

        t = \frac{\= x- \mu }{\frac{s}{\sqrt{n} } }

=>   t = \frac{ 17 - 15 }{\frac{5.5}{\sqrt{25} } }

=>   t =  1.8182

Generally from the student t distribution table the probability of obtaining   t =  1.8182 to the right of the curve at a degree of freedom of df = 24  is  

    p-value  = P(t > 0.18182 ) = 0.4286

From the value obtained we see that  p-value > \alpha hence

The decision rule is  

Fail to reject the null hypothesis

 The conclusion is  

There is no sufficient evidence to show that  the  designer's claim of a better shoe is  supported by the trial results.

7 0
2 years ago
If you have 6 lessons a week in mathematics, each lesson being 38 minutes long, what is the total time spent in mathematics less
Lynna [10]

Answer:

2280 minutes.

Step-by-step explanation:

Time spent each week in lessons = (Lessons per week)(Time per lesson)

= (6)(38)

= 228 minutes/week

Time spent in a 10-week period:

10 weeks * 228 minutes/week

= 2280 minutes

Use conversion factors to determine the time in the desired units (i.e. Hours, seconds, etc.).

Hope this helps!

5 0
1 year ago
I need help on this thank you ​
Rasek [7]
I think it B or D I hope i don’t get it wrong
5 0
3 years ago
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