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serious [3.7K]
3 years ago
5

The formula for a trapezoid relates the area A, the two bases, a and b, and the height, h.

Mathematics
1 answer:
Mila [183]3 years ago
4 0

Answer:

a =  \frac{a - 12bh}{12a}

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Mr Davis is creating a spice mixture for a recipe.2/5 of the spice mixture was oregano 1/3 of the spice mixture was basil the re
attashe74 [19]

Answer: \frac{11}{15}

Step-by-step explanation:

You know that:

- 2/5 of the spice mixture was oregano.

- 1/3 of the spice mixture was basil.

Then, to find the fraction of the total amount of spice mixture that was oregano and basil, you must add both fractions, as following:

- Find the least common multiply of the denominators:

LCM=5*3=15

- Divide the LCM by each original denominator and multiply the result by each numerator.

- Make the addition.

Then, the result is:

\frac{(2*3)+(1*5)}{15}=\frac{6+5}{15}=\frac{11}{15}

7 0
2 years ago
Please help! I mark brainliest :3
vladimir1956 [14]
no for a
yes for B
no for c
that what I think It is opinion could be wrong
3 0
2 years ago
Two athletic teams play a series of games; the first team to win 4 games is declared the overall winner. Suppose that one of the
kodGreya [7K]

Answer:

  • p=0.7103 (4-game series)
  • p=0.6480 (2-game series)

Step-by-step explanation:

Let X be the random variable equal the the first 4 straight wins. An overall win for the stronger team implies a negative binomial function with the parameters  n=4, p=0.6:

P(X=4)={{i-1}\choose {4-1}}0.6^40.4^{i-4},\  i=4,5,6,7

#We find probabilities for the different values of i:

P(X=4)={3\choose 3}0.6^4=0.1296\\\\P(X=5)={4\choose 3}0.6^40.4^1=0.2074\\\\P(X=6)={5\choose 3}0.6^40.4^2=0.2074\\\\P(X=4)={6\choose 3}0.6^40.4^3=0.1659

Hence, probability of the stronger team winning overall is:

=P(X=4)+P(X=5)+P(X=6)+P(X=7)\\\\=0.7103

#Define Y as the random variable for winning 2/3 games.:

P(Y=2)={1\choose 1}0.6^2=0.3600\\\\P(Y=3)={2\choose3}0.6^20.4=0.2880\\\\P(win)=0.2880+0.3600=0.6480

Hence, probability of the stronger team winning in 2 out 3 game series is 0.6480

The stronger team has a higher chance of winning in a 4-game series(0.7103>0.6480)

8 0
2 years ago
When a watch is sold at ksh 126 aloss of x percent is made . If the same ksh 126, a loss of x percent is made . If the same watc
Nitella [24]

Answer:

ksh 140

Step-by-step explanation:

When a watch is sold for ksh 126 a loss of x% is made, that is( 100 - x)%

Hence, the loss amount = (126 X 100)/(100 - x)

When the same watch is sold for ksh 154 a profit of x% is made, that is (100 + x)%

Hence, the profit amout = (154 X 100)/(100 + x)

Therefore, (126 X 100)/(100 - x) = (154 X 100)/(100 + x)

12600(100 + x) = 15400(100 - x)

1260000 + 12600x = 1540000 - 15400x

28000x = 280000

x = 10%

In that case for a watch sold for ksh 126 a loss 10% is made, that is( 100 - 10)%

Hence, loss amount = (126 X 100)/90 = ksh 140

∴ the buying price is ksh 140

7 0
3 years ago
The product of two numbers is 891 . if one one of them is 9,find the others​
yaroslaw [1]

Answer:

99

Step-by-step explanation:

99 x 9= 891

Just divide 891 by 9 to give you your answer;)

3 0
3 years ago
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