Answer:
The value of a=4
Step-by-step explanation:
Given the matrix

- A matrix is singular if its determinent is zero.
so solving the matrix B by taking its determinant to get the value a

as according to determinant formula


Therefore, the value of a=4
Given:
Ellen flipped a coin 80 times. The coin landed heads up 44 times and tails up 36 times.
To find:
The theoretical and experimental probabilities of the coin landing tails up and compare them.
Solution:
We know that, the coin landed either heads up or tails up. So, the theoretical probabilities of the coin landing tails up is



Ellen flipped a coin 80 times. The coin landed heads up 44 times and tails up 36 times.
Total = 80
Tails =36
The experimental probabilities of the coin landing tails up is



Therefore, the theoretical and experimental probabilities of the coin landing tails up are 0.5 and 0.45 respectively. The theoretical probability is greater than the experimental probability.
Answer:
Weight On Venus: 22.60 kg
Step-by-step explanation:
Being that it takes the weight of an object on earth and converts it to the weight on Venus, <em><u>the formula</u></em> is Weight on Venus= (Weight on Earth/9.81m/s2) * 8.87m/s2. To find the weight on Venus, we divide the weight on earth by the earth's force of gravity, which is 9.81m/s2. This calculates the mass of the object. Once we have the object's mass, we can find the weight by multiplying it by the gravitational force, which it is subject to. Being that Venus has a gravitational force of 8.87m/s2, we multiply the object's mass by this quanitity to calculate an object's weight on Venus.
So an object or person on Venus would weigh 90.42% its weight on earth. Therefore, a person would be lighter on Venus than on earth. Conversely, a person is 9.58% heavier on earth than on Venus.
Venus is only 95% the size of Earth, and 81% of its mass. With the smaller size and mass, the force of gravity pulling you on the surface is lower. To get your weight on Venus, just multiply your current weight by 0.9. That's why 100 pounds becomes 90 pounds.
<u><em>Answer:</em></u>
<u><em>Your correct answer is x = 42
.</em></u>
<u><em>My Step-by-step explanation:</em></u>
<u><em>Just turn the problem around by changing the subtraction to addition: 100 – x = 58 means the same thing as 100 – 58 = x, so x = 42.</em></u>