-7(8+7v)= -5+2v solve the equation

an architect wants to build three similar triangles such that the ratio of the middle triangle. The smallest one has side length

vampirchik [111]

Answer: 15

<u>Step-by-step explanation:</u>

small: 5 12 13

middle: __ 36 39

large: 45 108 117

Notice that to get from the small to the large, multiplied by 9

5(9) = 45 12(9) = 108 13(9) = 117

That is because the sides are proportional $\dfrac{5}{45}=\dfrac{12}{108}=\dfrac{13}{117}\rightarrow\dfrac{1}{9}$

To get from small to middle, multiply by 3

5(3) = 15 12(3) = 36 13(3) = 39

To solve it using proportions:

$\dfrac{5}{x}=\dfrac{12}{36}\\\\\\\text{Cross Multiply and solve for x:}\\5(36)=12x\\\\\dfrac{5(36)}{12}=x\\\\5(3)=x\\\\\large\boxed{15}=x$

7 0

3 years ago

In 1995, Derek Jeter's batting average was 0.250; in 1996, his batting average was 0.314. David Justice's batting average in 199

belka [17]

Answer:

The correct option is;

Simpson Paradox

Step-by-step explanation:

The phenomenon whereby particular trends are prevalent in small data portions but are not evident or an inverse trend is observe when the portions are joined together is known as Simpson's paradox.

Whereby the data for calculating the bating averages as found online are given as follows;

Season, Derek Jeter David Justice

1995, 12/48 = 0.250 104/411 ≈ 0.253

1996, 183/582 ≈ 0.314 45/140 ≈ 0.321

The overall hits to the overall bats ratio are;

, (183 + 12)/(582 + 48) ≈0.310 (104+45)/(411+140) = 0.27

Which shows that Derek Jeter's overall average was better than Justice's average

7 0

3 years ago

Winning the jackpot in a particular lottery requires that you select the correct four numbers between 1 and 42 and, in a separa

NARA [144]

Answer:

$\dfrac{1}{3,357,900}$

Step-by-step explanation:

There are

$C^{42}_4=\dfrac{42!}{4!(42-4)!}=\dfrac{42!}{4!\cdot 38!}=\dfrac{38!\cdot 39\cdot 40\cdot 41\cdot 42}{2\cdot 3\cdot 4\cdot 38!}=39\cdot 10\cdot 41\cdot 7=111,930$

different ways to select the four numbers between 1 and 42. Only one of this ways is correct (successful to win).

There are 30 different ways select the single number between 1 and 30. Only one of them is correct.

The probability of winning the jackpot is

$\dfrac{1}{111,930}\cdot \dfrac{1}{30}=\dfrac{1}{3,357,900}$

4 0

3 years ago

Read 2 more answers

Gene made a two-digit code. The first digit is odd. How many possible codes can he choose from?

mylen [45]

Digit 1:1,3,5,7, or 9.
Digit 2: 0,1,2,3,4,5,6,7,8 or 9.
4*10= 40 possible codes.

4 0

2 years ago

Which of the following is not a way to represent the solution of the inequality 2(x − 1) greater than or equal to −12?

maxonik [38]

First you need to simplify the left side of the equation to get $2x-2 \geq -12$
Then you add by two on both sides to get $2x \geq -10$
Finally you divide by 2 on both sides to get $x \geq -5$

6 0

3 years ago