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ASHA 777 [7]
3 years ago
13

Which statement explains the equation (6×3)×2=6×(3×2​

Mathematics
1 answer:
Tju [1.3M]3 years ago
6 0

They both equal the same thing

(6 x 3) x 2 = 36

6 x(3 x 2) = 36

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Which matrix is equal to... (picture added)
Ghella [55]

Answer:

D \left[\begin{array}{ccc}-6&-6.5&1.7\\-2&-8.5&19.3\end{array}\right]

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.

4 0
3 years ago
Please help me i need help i'll help you if you help me !<br>i will mark you as brill
MatroZZZ [7]

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):

Ratio = \frac{2}{7}

Multiply through by 2

Ratio = \frac{2*2}{7*2} = \frac{4}{14}

Multiply through by 3

Ratio = \frac{2*3}{7*3} = \frac{6}{21}

Multiply through by 5

Ratio = \frac{2*5}{7*5} = \frac{10}{35}

<em>Hence, the equivalents are: </em>\frac{4}{14}, \frac{6}{21}, \frac{10}{35}<em></em>

Solving (10):

Ratio = 1.5 to 3.5

Multiply by 2

Ratio = 1.5 * 2\ to\ 3.5 * 2

Ratio = 3\ to\ 7

Multiply by 3

Ratio = 1.5 * 3\ to\ 3.5 * 3

Ratio = 4.5\ to\ 10.5

Multiply by 4

Ratio = 1.5 * 4\ to\ 3.5 * 4

Ratio = 6\ to\ 14

<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

Ratio = 6.25/5\ to\ 1.25/5

Ratio = 1.25\ to\ 0.25

Multiply by 2

Ratio = 6.25*2\ to\ 1.25*2

Ratio = 12.5\ to\ 2.5

Multiply by 4

Ratio = 6.25*4\ to\ 1.25*4

Ratio = 25\ to\ 5

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

Solving (12):

Ratio = 3 : 3\frac{1}{2}

Multiply by 2

Ratio = 3 *2: 3\frac{1}{2}*2

Ratio = 6: 7

Multiply by 4

Ratio = 3 *4: 3\frac{1}{2}*4

Ratio = 12: 14

Multiply by 6

Ratio = 3 *6: 3\frac{1}{2}*6

Ratio = 18: 21

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

Solving (13)

Ratio = 1\frac{2}{3} : \frac{5}{4}

Convert mixed fraction to improper fraction

Ratio = \frac{5}{3} : \frac{5}{4}

Multiply by 2

Ratio = \frac{5}{3}*2 : \frac{5}{4}*2

Ratio = \frac{10}{3} : \frac{5}{2}

Multiply by 3

Ratio = \frac{5}{3}*3 : \frac{5}{4}*3

Ratio = 5 : \frac{15}{4}

Multiply by 12

Ratio = \frac{5}{3}*12 : \frac{5}{4}*12

Ratio = 20 : 15

Hence, the equivalents are: 10/3:5/2, 5 : 15/4, and 20:15

5 0
3 years ago
The 200 meter race times at a state track meet are normally distributed with a mean of 13.56 seconds and a standard deviation of
storchak [24]

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

∵ z=\frac{13.5-13.56}{2.24}=-0.02679

- 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

5 0
4 years ago
What formula can you use to find the lengths of a base and height of a triangle
mash [69]

Answer:

W times H

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
AB = 10 and AC = 2 StartRoot 10 EndRoot. What is the perimeter of △ABC?
WITCHER [35]

Answer:

20 + 2 units

Step-by-step explanation:

because the perimeter of ∆ ABC is the answer 20 + 2

4 0
2 years ago
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