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Katarina [22]
4 years ago
14

A supermarket finds that the number of boxes of a new cereal sold increases each week. In the first week, only 26 boxes of the c

ereal were sold. In the next week, 57 boxes of the cereal were sold and in the third week 88 boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic sequence. What is the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in week n?
Mathematics
1 answer:
Thepotemich [5.8K]4 years ago
4 0

If the pattern goes 26, 57, 88 you can find the difference between each number to see how much it's going up by each time. 57 - 26 = 31 and 88 - 57 = 31

That means each week the number of boxes of a new cereal increases by 31, or +31

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Help me please thank you
olganol [36]

Answer:

g = - 5

Step-by-step explanation:

2 - 8g = -3 - 9g

Add 9g to both sides of the equation:

2 - 8g + 9g = -3 - 9g + 9g

2 + 1g = - 3

Subtract 2 from both sides of the equation:

2 - 1g - 2 = - 3 - 2

1g = -5

Divide both sides of the equation by  1:

\frac{1g}{1} = \frac{-5}{1}

g = -5

8 0
3 years ago
Read 2 more answers
A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all
barxatty [35]

Answer:

a)Let X be number of children

X=1,2,3

P(X=1)= 0.47

P(X=2) = 0.2491

P(X=3) = 0.942923

b) 3.7970

c) 1.6232

Step-by-step explanation:

The complete question is:

A couple plans to have children until they get a​ girl, but they agree they will not have more than three​ children, even if all are boys. Assume that the probability of having a girl is 47.00​%. ​

a) Create a probability model for the number of children​ they'll have.

X=1,2,3

​P(X=1)=??

P(X=2)= ??

P(X=30=???

​(Round to four decimal places as​ needed

​b) Find the expected number of children.

E(X)= ???

​c) Find the expected number of boys​ they'll have.

Expected number of boys= ???

Solution:

Probability of a girl= 0.47

Probability of a boy= 0.53

a) P(X=1)= 0.47

P(X=2) = 0.47× 0.53= 0.2491

P(X=3)= 0.47× 0.53× 0.53 + 0.53× 0.53× 0.53

             = 0.942923

b) E(number of children)= 1× P(X=1) + 2 ×P(X=2) + 3 × (PX=3)

                                       = 3.796969

c) Y: number of boys

P(Y=1)= 0.53×0.47= 0.2491

P(Y=2) = 0.53×0.53×0.47=0.46375

P(Y=3)= 0.53× 0.53× 0.53= 0.148875

E(Y)= P(Y=1)×1 + P(Y=2)×2 + P(Y=3)×3

       = 0.148875×3 +0.46375×2+0.2491 ×1

      = 1.6232

5 0
3 years ago
How would you multiply (3x-8)(2x^2+4x-9)
Naily [24]
(3x-8)(2x^2+4x-9)= <span><span><span>6x^3</span>−<span>4x^2</span></span>−59x</span>+72<span>
Hope I helped! ( Smiles )</span>
4 0
3 years ago
Sebastian studies from 3:15 - 4:45 p.m his sister,Sara studies from 4:30 -6:15 p.m who studies longer and by how,much?
3241004551 [841]

Answer:

Sara studied longer.

She studied longer by 15 minutes.

Step-by-step explanation:

Sebastian:- 3:15 - 4:45p.m

Sara :- 4:30 - 6:15p.m

For how long did Sebastian study?

4:45

-3:15

1:30

Proof:

1:30

+3:15

4:45

Sebastian studied for an hour and 30 minutes.

For how long did Sara study?

6:15

-4:30

1:45

Proof:

6:15 to min=375

4:30 to min=270

375-270=105

105 min to hour=1:45

Hope this helps ;) ❤❤❤

3 0
4 years ago
A realtor is someone who helps people buy or sell houses. Two realtors are trying to determine the value of a house in four year
alex41 [277]

probably b and some c 1000

5 0
4 years ago
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