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IRISSAK [1]
2 years ago
9

Coach smith is buying equipment for his soccer team. He has 11 players and each player needs three uniforms, two shin guards, on

e ball,and two pairs of cleats
Mathematics
1 answer:
DIA [1.3K]2 years ago
6 0
Coach Smith is buying equipment for his soccer team. He has 11 players and each player needs three uniforms, two shin guards, one ball, and two pairs of cleats.

Part A: Write an algebraic expression to represent this situation.
Part B: If each uniform costs $48.00, each shin guard costs $5.00, each ball costs $17.00, and each pair of cleats costs $89.00, determine how much Coach Smith will spend, before taxes, on equipment for his soccer team.

PART A:
Let the cost of a uniform be a, that of a shin guard, b, that of a ball, c, and that of a pair of cleats, d, then
The algebraic expression representing the situation is given by
11(3a + 2b + c + 2d)


PART B:
The amount coach smith will spend is given by
11(3(48) + 2(5) + 17 + 2(89)) = 11(144 + 10 + 17 + 178) = 11(349) = $3,839
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Step-by-step explanation:

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62% of U.S. adults have very little confidence in newspapers. You randomly select 10 U.S. adults. Find the probability that the
velikii [3]

Answer:

a) 0.1829

b) 0.6823

c) 0.0413

Step-by-step explanation:

We are given the following information:

We treat adult having little confidence in the newspaper as a success.

P(Adult have little confidence) = 62% = 0.62

Then the number of adults follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 10

a) exactly 5

P(x =5)\\\\=\binom{10}{5}(0.62)^5(1-0.62)^5\\\\=0.1829

0.1829 is the probability that exactly 5 out of 10 U.S.adults have very little confidence in newspapers.

b) atleast six

P(x \geq 6)\\\\ = P(x = 6) + P(x = 7)+P(x = 8)+P(x = 9)+P(x=10)\\\\= \displaystyle\sum \binom{10}{n}(0.62)^n(1-0.62)^{10-n}, n =6,7,8,9,10\\\\= 0.6823

0.6823 is the probability that atleast 6 out of 10 U.S. adults have very little confidence in newspapers.

c) less than four

P(x

0.0413 is the probability that less than 4 out of 10 U.S. adults have very little confidence in newspapers.

8 0
2 years ago
Which statements are true of the function f(x) = 3(2.5)x? Check all that apply.
Neporo4naja [7]
For this case we have a function of the form:
 y = A * (b) ^ x

 Where,
 A: initial amount
 b: growth rate (for b> 1)
 x: independent variable
 y: dependent variable
 We then have the following function:
 f (x) = 3 (2.5) ^ x

 Using the definition, the following statements are correct:
 1) The function is exponential
 2) The function increases by a factor of 2.5 for each unit increase in x
 3) The domain of the function is all real numbers
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2 years ago
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Which equation accurately represents this statement? Select three options.
atroni [7]

Complete question:

Which equation accurately represents this statement? Check all that apply.

Negative 3 less than 4.9 times a number, x, is the same as 12.8

A: -3-4.9x=12.8

B: 4.9x-(-3)=12.8

C: 3+4.9x=12.8

D: (4.9-3)x=12.8

E:  12.8=4.9x+3

Answer:

B: 4.9x-(-3)=12.8

C: 3+4.9x=12.8

E:  12.8=4.9x+3

Step-by-step explanation:

The word equation can be expressed mathematically as follows

negative 3  → -3

less than 4.9 times a number , x →  4.9 x - (-3)

is same as 12.8  → 4.9 x - (-3) = 12.8

The equation can be expressed as

4.9 x - (-3) = 12.8

when you open the bracket, you multiply  -3 time  - 1 . MInus times minus is equals to plus. so you get

4.9 x + 3 = 12.8

12.8 = 4.9x+3

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2 years ago
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What two partial products would you add to find 513 x 46
Afina-wow [57]
First, let me do the Mathematical part of that, and then I shall explain the theory behind it.

Mathematical part:
We are going to multiply 513 with 46. So the two partial products that we are going to choose are 40 and 6.

Multiply 513 with 6 first.

    513
    x46
--------------------------
      18 (as 6*3 = 18)
      60 (as 6*10 = 60; In 513, the digit at tenths place is 1, so 1*10=10)
  3000 (as 6*500 = 3000; In 513, 5 is at hundredth place, so 5*100=500)
    120 (as 40*3 = 120; since 4 is at the tenth place, so 4*10=40)
    400 (as 40*10 = 400)
20000 (as 40*500 = 20000)
--------------------------
23598 (Add all of them)


Theory:
As you can see above that we have chosen the two partial products individually which are 6 and 40. Since 4 in 46 is in tenth place, we have to consider it 40 (since 4*10 = 40). One by one, we first multiply 6 with 513. Then we move to the tenth place, and multiply 513 with 40. At the end, we have added all the results we found after multiplication.

Check: If we check the multiplication result by using the calculator, we would get the same result (23598).

Another Method (instant):
513 * (40+6) = (513*40) + (513*6) = 23598.
3 0
2 years ago
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