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guajiro [1.7K]
3 years ago
8

A store receives tomatoes in boxes of 40 tomatoes each. About 4 tomatoes per box cannot be sold due to damage. Write an algebrai

c expression that gives the number of tomatoes that the store can sell from a shipment of b boxes. Simplify the expression by combining like terms
please help!!!!! i need this asap
Mathematics
1 answer:
monitta3 years ago
3 0

Answer:

40b - 4b    or 36 b

Step-by-step explanation:

No. of tomatoes in each box = 40

No. of box shipped = b

No. of tomatoes in those b box = b*No. of tomatoes in each box = 40b

No. of tomatoes damaged in each box = 4

No. of box shipped = b

No. of tomatoes damaged in those b box = b*No. of tomatoes damaged in each box = 4b

Thus, total no. of tomatoes that can be sold by store = No. of tomatoes in those b box - No. of tomatoes damaged in those b box  = 40b - 4b

Algebraic expression to express the no. of tomatoes that can be sold from those b box is

40b - 4b = 4b(10-1) = 4b(9) = 36b (Answer)

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Feliz [49]

Answer:

(a)

The values of X can be 0, 1, 2 , ..., 10 . So, X is a discrete random variable.

(b)

The distribution of X is Binomial distribution with the parameters n = 10 and p = 0.2

(c)

Probability that no one or one person will be injured = P(X = 0) + P(X = 1)

= 10C0 * 0.20 * (1 - 0.2)10-0 + 10C1 * 0.21 * (1 - 0.2)10-1

= 0.810 + 10 * 0.2 * 0.89

= 0.3758096

(d)

Average value of X = np

Average value of X = 10 * 0.2 = 2

(e)

Variance of X = np(1-p)

Variance of X = 10 * 0.2 * (1 - 0.2) = 1.6

(f)

Number of ways in which 2 people gets injured = 10C2 = 10! / ((10-2)! 2!) = (10 * 9) / (2 * 1) = 45

Assume the best player got injures, number of ways in which one people out of remaining 9 people gets injured = 9C1

= 9! / ((9-1)! 1!)

= 9

Probability that the best player got injured = Number of ways in which 1 people gets out of 9 and best person gets injured / Number of ways in which 2 people gets injured

= 9 / 45

= 0.2

4 0
3 years ago
Can I get help please.
scoundrel [369]

Answer:

see below

Step-by-step explanation:

A: Points A and B form a right triangle with legs of 2 and 5 so AB is approximately 5.4 from the Pythagorean Theorem.

B: Points B and C form a right triangle with legs of 2 and 5 so BC is approximately 5.4.

C: We need to find the length of AC. We can do this by using the same strategy above. Points A and C form a right triangle with legs of 7 and 3 so AC = 7.6. To find the perimeter we'll do 5.4 + 5.4 + 7.6 = 18.4.

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2 years ago
Ab and bc form a right angle at point B. if a= (-3,-1) and B= (4,4) what is the equation of BC?
Vesnalui [34]

Answer:

Option C -7x-5y=-48

Step-by-step explanation:

step 1

Find the slope of AB

we have

A(-3,-1) and B(4,4)

The slope m is equal to

m=(4+1)/(4+3)

m=5/7

step 2

Find the slope of BC

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

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m1*m2=-1

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m1=5/7

substitute

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step 3

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Multiply by -1 both sides

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9.8t^2-49t+40=0

t=(49±√833)/19.6

t≈1.027, 3.97

1.027<t<3.97
7 0
3 years ago
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