Answer:
D ![\left[\begin{array}{ccc}-6&-6.5&1.7\\-2&-8.5&19.3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%26-6.5%261.7%5C%5C-2%26-8.5%2619.3%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
Two matrices are equal when they
- have the same sizes (so options A and B are false)
- have equal corresponding elements (so option C is false, because -6≠6, -6.5≠6.5, 1.7≠-1.7 and so on)
If in option D the second row is 2 -8.5 19.3 , then these matrix is equal to the given.
Answer:
See Explanation
Step-by-step explanation:
Required
Write three equivalent ratios
<em>To solve these questions, we do the following:</em>
<em>Whatever is being applied to a part of the ratio must be done on the other part</em>
<em></em>
Solving (9):

Multiply through by 2

Multiply through by 3

Multiply through by 5

<em>Hence, the equivalents are: </em>
<em></em>
Solving (10):
Ratio = 1.5 to 3.5
Multiply by 2


Multiply by 3


Multiply by 4


<em>Hence, the equivalents are: </em><em>3 to 7, 4.5 to 10.5 and 6 to 14</em>
Solving (11):
Ratio = 6.25 to 1.25
Divide by 5


Multiply by 2


Multiply by 4


<em>Hence, the equivalents are: </em><em>1.25 to 0.25, 12.5 to 2.5 and 25 to 5</em>
Solving (12):

Multiply by 2


Multiply by 4


Multiply by 6


<em>Hence, the equivalents are: 6:7, 12:14 and 18:21</em>
Solving (13)

Convert mixed fraction to improper fraction

Multiply by 2


Multiply by 3


Multiply by 12


Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15
The approximate probability that a runner chosen at random will have a 200 meter time less than 13.5 seconds is 0.4880 ⇒ A
Step-by-step explanation:
To find the probability of a random variable X which has a normal distribution do that
- If X < b, find the z-score using the formula z = (b - μ)/σ, where μ is the mean and σ is the standard deviation
- Use the normal distribution table of z to find the corresponding area to the left of z-score
∵ The 200 meter race times at a state track meet are normally
distributed with mean of 13.56 seconds and a standard deviation
of 2.24 seconds
∴ μ = 13.56
∵ σ = 2.24
- We need to find the probability that a runner chosen at random
will have a 200 meter time less than 13.5 seconds
∵ X < 13.5
∴ b = 13.5
- Find z-score
∵ 
- Use the normal distribution table to find the area corresponding to z
∵ The corresponding area of z ≅ -0.03 is 0.4880
∴ P(x < 13.5) = 0.4880
The approximate probability that a runner chosen at random will have a 200 meter time less than 13.5 seconds is 0.4880
Learn more:
You can learn more about the probability in brainly.com/question/4625002
#LearnwithBrainly
Answer:
W times H
Step-by-step explanation:
Answer:
20 + 2 units
Step-by-step explanation:
because the perimeter of ∆ ABC is the answer 20 + 2