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Nata [24]
2 years ago
9

If the coefficient of determination is 0.233, what percentage of the variation in the data about the regression line is explaine

d?5.43%76.7%23.3%46.6%
Mathematics
1 answer:
ddd [48]2 years ago
3 0

We need the coefficient of determination definition

The coefficient of determination (R²) is a number between 0 and 1 that measures how well a statistical model predicts an outcome. You can interpret the R² as the proportion of variation in the dependent variable that is predicted by the statistical model

So if we have a coefficient of determination of 0.233 we multiply by 100 to get the percentage

Answer: 23.3%

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√m/3=4<br> My teacher didn't explain how to solve these to well can someone explain?
Andrews [41]
√m/3 = 4

To remove the radical sign, square both sides.

(√m/3)² = 4²
m/3 = 16

To remove the denominator of 3, multiply both sides by 3.
3 (m/3) = 3(16)
m = 48

To check: Substitute m by its value.
√m/3 = 4
√48/3 = 4
√16 = 4
4 = 4
4 0
3 years ago
A shuttle launch depends on three key devices that may fail independently of each other with probabilities 0.01, 0.02, and 0.02,
worty [1.4K]

Answer:

0.950796

Step-by-step explanation:

Given that a shuttle launch depends on three key devices that may fail independently of each other with probabilities 0.01, 0.02, and 0.02, respectively.

Required probability =  the probability for the shuttle to be launched on time

= Probability that all three do not fail

Since each key device is independent of the other

we have

prob that all three do not fail = (1-0.01)(1-0.02)(1-0.02)\\=0.99*0.98*0.98\\=0.950796

6 0
3 years ago
The total cost of a pair of shoes and a hoodie is $150 the hoodie cost $100 more than the pair of shoes how much does each item
bekas [8.4K]
X + y = 150

x = y + 100

2y + 100 = 150

2y = 50

y = 25

shoes are 25 hoodie is 125
3 0
3 years ago
Read 2 more answers
Find the inverse of function f<br> f(x)9x+7
kap26 [50]

The inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9

<h3>How to determine the inverse of the function?</h3>

The function is given as:

f(x) = 9x + 7

Express f(x) as y

y = 9x + 7

Swap the positions of x and y in the above equation

x = 9y + 7

Subtract 7 from both sides

9y = x - 7

Divide through by 9

y = x/9 - 7/9

Express as an inverse function

f-1(x) = x/9 - 7/9

Hence, the inverse of function f(x) = 9x+7 is f-1(x) = x/9 - 7/9

Read more about inverse functions at:

brainly.com/question/14391067

#SPJ1

5 0
2 years ago
Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply
Charra [1.4K]

Answer:

  5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

  x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16)  = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

  101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

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Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

  x(x⁴ +4) = 1(1⁴ +4) = 5

  3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

  5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

  7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

  9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0
2 years ago
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