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prisoha [69]
3 years ago
9

Tomic and Brooke make a game of shooting free throws. Each basket is worth 2.5 point.Each miss is worth - 0.75 points.Out of 30

free throws they make 16 baskets
Mathematics
2 answers:
snow_tiger [21]3 years ago
4 0

Answer: 29.5 points

Step-by-step explanation:

Each basket is worth 2.5 points

Each miss = -0.75

Out of 30 free throws, 16 were successful

Points accrued = 16 × 2.5 = 40

Points to be deducted = (30 - 16) × 0.75 = 14 × 0.75 = 10.5

Points attained = 40 - 10.5

= 29.5 points

Anit [1.1K]3 years ago
3 0
They would have 29.5 point
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WILL GIVE BRAINLY PLEASE HELP!!!!!!!
marta [7]

Answer:

r² = 0.5652  < 0.7 therefore, the correlation between the variables does not imply causation

Step-by-step explanation:

The data points are;

X,          Y

0.7,       1.11

21.9,     3.69

18,         4

16.7,      3.21

18,         3.7

13.8,      1.42

18,          4

13.8,      1.42

15.5,      3.92

16.7,       3.21

The correlation between the values is given by the relation

Y =   b·X + a

b = \dfrac{N\sum XY - \left (\sum X  \right )\left (\sum Y  \right )}{N\sum X^{2} - \left (\sum X  \right )^{2}}

a = \dfrac{\sum Y - b\sum X}{N}

Where;

N = 10

∑XY = 499.354

∑X = 153.1

∑Y = 29.68

∑Y² = 100.546

∑X² = 2631.01

(∑ X)² = 23439.6

(∑ Y)² = 880.902

From which we have;

b = \dfrac{10 \times 499.354 -153.1 \times 29.68}{10 \times 2631.01 - 23439.6} = 0.1566

a = \dfrac{29.68 - 0.1566 \times 153.1}{10} = 0.5704

r = \dfrac{N\sum XY - \left (\sum X  \right )\left (\sum Y  \right )}{\sqrt{\left [N\sum X^{2} - \left (\sum X  \right )^{2} \right ]\times \left [N\sum Y^{2} - \left (\sum Y  \right )^{2} \right ]}}

r = \dfrac{10 \times 499.354 -153.1 \times 29.68}{\sqrt{\left (10 \times 2631.01 - 23439.6  \right )\times \left (10 \times 100.546- 880.902\right )}  } = 0.7518

r² = 0.5652  which is less than 0.7 therefore, there is a weak relationship between the variables, and it does not imply causation.

7 0
3 years ago
A loan of $100,000 is made today. The borrower will make equal repayments of $3568 per month with the first payment being exactl
Makovka662 [10]

Answer:

The yearly interest rate is 5.20%.

Step-by-step explanation:

This is a compound interest problem

The compound interest formula is given by:

A = P(1 + \frac{r}{n})^{nt}

In which A is the amount of money, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit t and t is the time the money is invested or borrowed for.

In this problem, we have that:

The loan outstanding is the value of the loan that has not been repaid.

Here, it is $25,044.84.

To find the interest rate, we first have to find how much money the borrower will have to pay, that will be the value of A in the compound interest formula.

The total he will have to play is $25,044.84 plus the $3,568 he has already paid in each of the previous 2 years = 24 months. So:

A = 25,044.84 + 24*3,568 = 110,676.84.

P is the value of loan, so P = 100,000

r is the interest rate, the value we have to find.

We have to find the annual interest rate, so n = 1.

We found the total amount in 2 years, so t = 2.

Solving

A = P(1 + \frac{r}{n})^{nt}

110,676.84 = 100,000(1 + r)^{2}

(1 + r)^{2} = 1.1067684

To find r, i will take the square root of both sides of the equation. So

\sqrt{(1 + r)^{2}} = \sqrt{1.1067684}

1 + r = 1.0520

r = 0.0520

The yearly interest rate is 5.20%.

7 0
3 years ago
3 - 3 × 6 + 2 = what
gogolik [260]
3-3*6+2 = -13
And it is a correct solution
5 0
2 years ago
Help on number 2 please?​
frosja888 [35]

Answer:

They are vertically opposite angles.

Step-by-step explanation:

The two angles have one shred point and are therefore vertically opposite angles, which means that they are equally.

Have a nice day!!!!!!!!! :-)

<u>KA</u>

3 0
3 years ago
Help me :((
NARA [144]

Answer:

(-x,-y)

180*

Step-by-step explanation:

This is the right answer

8 0
3 years ago
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