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Fantom [35]
3 years ago
8

A scatter plot showed a positive correlation for 11 bowlers. As the number of strikes, s, a bowler made in a game increased, the

number of points, p, the bowler scores also increased. The equation for the line of best fit for the data is p=25s+40. Estimate the number of strikes made by a bowler with 140 points.
Mathematics
1 answer:
almond37 [142]3 years ago
5 0

Answer:

s = 4

Step-by-step explanation:

The equation for the line of best fit for the data is p=25s+40.

Where p is no. of points and s is no. fo strikes

We need to find the number of strikes made by a bowler with 140 points.

Put p = 140

p=25s+40

140 = 25s+40

Subtract 40 to both sides,

140-40 = 25s+40-40

100 = 25s

⇒ s = 4

So, there are 4 strikes made by a bowler with 140 points.

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Maria brought 17 packs of cola to a party, and each pack had 6 cans. Kira brought 9 cans of juice. How many cans did they bring
Gre4nikov [31]

Answer:

In total they brought 111 cans

Step-by-step explanation:

17*6=102

102+9=111

5 0
3 years ago
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At the grocery store, peaches cost $2.60 per pound. Grace bought 36.8 ounces of peaches.
Ann [662]

Answer:

the total would be $7.00

Step-by-step explanation:

36.8 ounces = 2.3 pounds so first you add up how much it costs for 2 pounds and you get 5.20 after that you figure out how much and ounce is and that's 60 cents you add that all up and you get $7.00 (I don't know if I'm right it's been a while since I've done math like this hope it helps)

3 0
3 years ago
Amy invests money in two simple interest accounts. She invests four times as much in an account paying 11% as she does in an acc
Akimi4 [234]

Answer: Total amount invested in both accounts is $1875

Step-by-step explanation:

Let x represent the amount invested at 11%.

Let y represent the amount invested at 5%.

She invests four times as much in an account paying 11% as she does in an account paying 5%. This means that

x = 4y

The formula for determining simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents the rate of investment

T represents the time in years.

Considering the amount invested at 11%,

I = (x × 11 × 1)/100 = 0.11x

Considering the amount invested at 5%,

I = (y × 5 × 1)/100 = 0.05y

If she earns $183.75 in interest in one year from both accounts combined, it means that

0.11x + 0.05y = 183.75 - - - - - - - - - -1

Substituting x = 4y into equation 1, it becomes

0.11 × 4y + 0.05y = 183.75

0.44y + 0.05y = 183.75

0.49y = 183.75

y = 183.75/0.49

y = 375

x = 4y = 375 × 4

x = 1500

Total amount invested in both accounts is

1500 + 375 = $1875

7 0
3 years ago
A factory manufactures chairs and tables, each requiring the use of three operations: cutting, assembly, and finishing. The firs
cluponka [151]

Answer:

z(max) = 650 $

x₁ = 10 units

x₂ = 15 units

Step-by-step explanation:

That is a linear programming problem, we will use a simplex method to solve it

Formulation:

Let´s call  x₁  number of chairs   and x₂ number of tables then :

Item              (in hours)     cutting       assembly      finishing        Profit ($)

Chairs (x₁)                              1                   2                     1                      20

Tables (x₂)                              2                   1                      1                      30

Availability                           40                 42                   25

Objective Function

z  =  20*x₁   +  30x₂   ( to maximize) subject to:

x₁  +  2x₂   ≤  40

2x₁  + x₂    ≤  42

x₁ + x₂     ≤    25

x₁  ,   x₂  >= 0

Using excel or any other software we find:

z(max) = 650

x₁ = 10

x₂ = 15

7 0
3 years ago
To find the average of a set of numbers, add up all the items and divide by?
kati45 [8]

Answer:

you add up all of the items and then divide by the total number of items.

Step-by-step explanation:

For example,

Total/Number of Items = Average

Set: 1,6,4,5

(1+6+4+5)/4

16/4 = 4

4 is the average of the items above.

Good luck!!

4 0
3 years ago
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