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klasskru [66]
3 years ago
13

All of the following proportions are equivalent except

Mathematics
1 answer:
shtirl [24]3 years ago
8 0
All are equal except A/D = C/B

I replaced the values with numbers
a=5 b=10 c=50 d=100

10/5=100/50 so it’s not b/a = d/c
5/10=50/100 so it’s not a/b = c/d
5/50 = 10/100 so it’s not a/c = b/d
5/100 is NOT 50/10 so it’s NOT a/d = c/b
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In a chess variant, a "lord" can move one space at a time, either upward, or to the right, or diagonally up and to the right. ho
valentina_108 [34]

There are 48639 ways for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard

<h3>Further explanation</h3>

The probability of an event is defined as the possibility of an event occurring against sample space.

\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }

<h2>Permutation ( Arrangement )</h2>

Permutation is the number of ways to arrange objects.

\large {\boxed {^nP_r = \frac{n!}{(n - r)!} } }

<h2>Combination ( Selection )</h2>

Combination is the number of ways to select objects.

\large {\boxed {^nC_r = \frac{n!}{r! (n - r)!} } }

Let us tackle the problem.

This problem is similar to Pascal Triangle.

The Lord can move to the right or up in one way only.

We can put "1" in each box on the bottom and left to represent 1 possible movement.

To get the possibility of movement to another box, we will add the possibility of movement to the left, right, and diagonal squares as shown in Figure 1.

This process is repeated for the next box as shown in Figure 2.

Finally, after this process is repeated until the top right box, we get the results as shown in Figure 3.

There are 48639 ways for a lord to move from the bottom left to top right corner of the 8 by 8 chessboard.

<h3>Learn more</h3>
  • Different Birthdays : brainly.com/question/7567074
  • Dependent or Independent Events : brainly.com/question/12029535
  • Mutually exclusive : brainly.com/question/3464581

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

7 0
3 years ago
An 8 in. x 8 in. pan holds 4 pints. A 9 in. x 13 in. pan holds 3 quarts. Which pan holds more?
Tom [10]
The answer is really simple. 3 quarts is more. There are 4 pints in a quart. There are 4 quarts in a gallon.
4 0
3 years ago
Read 2 more answers
Your start-up business is looking into the energy usage in the community of south lawndale. your sample size is 12 months. use t
Aleonysh [2.5K]

The confidence interval at 95% level is

7106.87 <  μ< 14255.27

<h3>What is meant be mean and standard deviation?</h3>

The ratio of sum of observations to the total number of observation is known as mean. It is one of the central tendency in the statistics. It gives an idea about the central value present in the data. The most sensitive measure of central tendency is mean. It is very easy to calculate. Mean playa a crucial role in daily life. The two types of means are Arithmetic mean and Geometric mean.

Standard deviation is a measure in the statistics. The amount of variation of a set of values is known as standard deviation. Standard deviation is denoted by σ.

As per given data

90% confident level for amount of electricity used in community of Austin is

X-tx/2(n-1)s/√n < μ < X+ tx/2(n-1)s/√n

Here , n=12 ,  X=10681.07 , s=6893.87

Margin of error = tx/2(n-1)s/√n

=(1.796×6893.87)/√12

=3574.1996

=3574.19(approximately)

Therefore, 90% CI is,

10681.07-3574.19 ≤ μ<10681.07+3574.19

7106.87 <  μ< 14255.27

To know more about mean and standard deviation, visit:

brainly.com/question/14720855

#SPJ4

5 0
1 year ago
Kevin went to see his favorite sport team play. His car can go 400 miles on one tank of gas. If he used 30% of a full tank of ga
Ivahew [28]

Answer:

400 x 0.3 = 120 miles

120 miles would be your answer

Step-by-step explanation:

3 0
3 years ago
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| -1 - 3| = ? <br> asking for a friend
xz_007 [3.2K]

Answer:

4

Step-by-step explanation:

first you simplify, so -1-3=-4.

|-4|

the absolute value of negative four is just four with all signs removed (in this case, negative sign)

4

8 0
3 years ago
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