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polet [3.4K]
2 years ago
13

Parallelly lines/angle problem

Mathematics
1 answer:
rodikova [14]2 years ago
4 0

Answer:

142 degrees

Step-by-step explanation:

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With Obesity on the rise, a Doctor wants to see if there is a linear relationship between the Age and Weight and estimating a pe
Romashka [77]

Answer:

112.569 ( D )

Step-by-step explanation:

Applying the estimated Regression Equation

y = b1X1 + b2X2 + a

b1 = ((SPX1Y)*(SSX2)-(SPX1X2)*(SPX2Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 596494.5/635355.88 = 0.93884

b2 = ((SPX2Y)*(SSX1)-(SPX1X2)*(SPX1Y)) / ((SSX1)*(SSX2)-(SPX1X2)*(SPX1X2)) = 196481.5/635355.88 = 0.30925

a = MY - b1MX1 - b2MX2 = 149.25 - (0.94*61.31) - (0.31*193.88) = 31.73252

y = 0.939X1 + 0.309X2 + 31.733

For x1 ( age ) =39, and  x2(weight) =143

y = (0.93884*39) + (0.30925*143) + 31.73252= 112.569

where

Sum of X1 = 981

Sum of X2 = 3102

Sum of Y = 2388

Mean X1 = 61.3125

Mean X2 = 193.875

Mean Y = 149.25

attached is the Tabular calculation of the required values needed for estimated regression equation

8 0
3 years ago
The kinetic energy (K) that an object has varies jointly with its mass (m) and the square of its velocity (v). The equation that
lord [1]

The kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

<h3>What is Kinetic Energy?</h3>

Kinetic energy is simply a form of energy a particle or object possesses due to its motion.

It is expressed as;

K = (1/2)mv²

Where m is mass of the object and v is its velocity.

Given that;

  • Mass of the bowling ball m = 3kg
  • Velocity of the bowling ball v = 2.6m/s
  • Kinetic energy K = ?

We substitute the given values into the above equation.

K = (1/2)mv²

K = 0.5 × 3kg × (2.6m/s)²

K = 0.5 × 3kg × 6.76m²/s²

K = 10.14kgm²/s²

K = 10.14J

Therefore, the kinetic energy of the bowling ball with the mass and traveling at the given velocity is 10.14 Joules.

Learn more about kinetic energy here: brainly.com/question/12669551

#SPJ1

6 0
2 years ago
Each day the gumball machine in the mall sells 919 gum balls. How many gum balls would it have sold after 160 day?
NikAS [45]
It would have sold 147,040 after 160 days
7 0
3 years ago
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You are parked mile from the football stadium. You walk at a constant rate and it takes you 14 minutes to get to the stadium. Th
eimsori [14]
28 minutes
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7 0
3 years ago
Steps for solving 5(2x - 8) = 20 are shown.
kykrilka [37]
Answer: D. Using the commutative property

explanation: you use the distributive property to get 10x-40. to combine like terms you add 40 to -40 and 20. and you decide 10 by both sides to get x by itself and the answer on the other side which equals 6.
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3 years ago
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