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AfilCa [17]
3 years ago
11

Find a_(1) if d = 2.5, a_(15) = 33.5, S_(15 )= 240

Mathematics
2 answers:
Mademuasel [1]3 years ago
5 0

Answer:

Value of d is 20.

I hope it will help you.

Step-by-step explanation:

makvit [3.9K]3 years ago
3 0

Answer:

a_{1}=-19

Step-by-step explanation:

It is sum of arithmetic progression again.

$S_{15}=\frac{15}{2} [2a_{1}+(15-1)\cdot 2.5]$

$240=\frac{15}{2} [2a_{1}+35]$

$240=15a_{1}+535$

-285=15a_{1}

a_{1}=-19

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A company is developing a new high-performance wax for cross country ski racing. In order to justify the price marketing wants,
andrew11 [14]

Answer:

A)Yes they should market the wax, because it melts before 55 seconds

C) Null hypothesis: mean <55 vs. Alternative hypothesis :mean =55

D) the value is 51.33 seconds

Step-by-step explanation:

The selected samples for the champion are : 57.9, 62.9, 50.6, 50.5,48.2,47.2,50.2 and 43.1

The mean is ;

Sum =57.9 + 62.9 + 50.6 + 50.5+48.2+47.2+50.2+ 43.1 =410.6

Mean= 410.6/8 =51.33= mean

Assuming Significant =0.05 thus applying this level will give you 51.28-51.38

if specifically, the mean time to finish their standard test course should be less than 55 seconds for a former Olympic champion, then the null hypothesis is correct

Then;

Null hypothesis: mean <55

Alternative hypothesis :mean =55

7 0
3 years ago
James uses the Distributive Property to find how many cans of paint are in the art supply closet. There are 5 boxes in the close
julia-pushkina [17]

Answer:

70 cans of paint

Step-by-step explanation:

We are told in the question that:

1 box holds = 14 cans of paint

5 boxes =

Cross Multiplying

5 boxes will hold = 5 × 14

= 70 cans of paint

This question, requires that we use Distributive property

Distributive property states that: when 2 factors or numbers are multiplied together the result will be the same as splitting on of the numbers(factors) into two distinct numbers, multiplying both number by the other factor, and adding together both products.

Applying the definition above to solve the question, we would be splitting the number of boxes which is 5 into 2 distinct number = 2 and 3

As , 2 + 3 = 5

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70 cans of paint = 70 cans of paint.

The numbers of cans of paint that are in the art supply closet is 70 cans of paint

5 0
3 years ago
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KonstantinChe [14]

Answer:

1636 cm^2

Step-by-step explanation:

cut in itwo two shapes a rectangle and isosceles trapizoid

Area - 1/2 hight(base x length)

1/2 x 14(6x17) = 714 cm^2

Area of rectangle-  2(wl x hl x hw) = 922 cm^2

l = 17

w = 13

h = 8

add the areas - 922 + 714 = 1636 cm^2

6 0
3 years ago
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finlep [7]

Answer:

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Step-by-step explanation:

The sum of the acute angles of a right triangle is 90°. (That makes the sum of all angles be 180°, as it is for any triangle.)

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5 0
2 years ago
Each statement describes a transformation of the graph of .
Nostrana [21]

Answer:

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