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ExtremeBDS [4]
3 years ago
6

Find the missing side lengths

Mathematics
1 answer:
klemol [59]3 years ago
7 0
4 because a 45-45-90 triangle has a side ratio of 1-1-sqrt2 with sqrt2 being the hypotenuse
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Suppose you are deciding whether to take a train or a car to travel 3,000 miles across a country. The train travels at 95 kilome
Papessa [141]

Answer:

The car

Step-by-step explanation:

  • Train:

1mi = 1.6 km

95km = 95/1.6 = 59.375 km

95km/h = 59.375mi//h

  • Car

     65mi/h

Comparative:

65 > 59.375

then:

the car is more faster

7 0
3 years ago
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Compute​ P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate thi
MAXImum [283]

Answer and Step-by-step explanation: P(X) calculated by the binomial probability formula is:

P(X) = \left[\begin{array}{ccc}n\\X\end{array}\right].p^{x}.(1-p)^{n-x}

P(20) = \left[\begin{array}{ccc}53\\20\end{array}\right] .(0.3)^{20}.(1-0.3)^{33}

P(20) = \frac{53!}{33!.20!}.3.5.10^{-11}.7.7.10^{-6}

P(20) = 0.0552

To determine whether the normal distribution can be used to estimate this probability, both n.p and n.(1-p) must be greater than 5:

n . p = 53*0.3 = 15.9

n.(1-p) = 53(1-0.3) = 37.1

Since both ARE greater than 5, normal distribution can be used.

To approximate:

mean = n . p = 15.9

standard deviation = \sqrt{n.p.(1-p)} = 3.34

Find the z-score:

z = \frac{x - mean}{sd} = \frac{20-15.9}{3.34} = 1.23

z-score = 0.8907

Comparing values:

0.8907 - 0.0552 = 0.8355

6 0
3 years ago
Solve for y and x<br> 2+3x-1=4y <br> And <br> 2x-3=y
Natasha_Volkova [10]

Answer:

x = 2.6, y = 2.2

Step-by-step explanation:

if 4y = 2 + 3x - 1 and

y = 2x - 3,

4y = 2 + 3x -1 and 4y = 8x - 12 so

8x - 12 = 2 + 3x - 1

so 5x - 12 = 1,

5x = 13,

x = 2.6

If x = 2.6,

y = 5.6 - 3

so y = 2.2

Please mark me as Brainliest!

6 0
3 years ago
There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag. If you reach in and randon
Veronika [31]

Answer:

Likely

Step-by-step explanation:

It is very likely that you will pick a blue marble because the bag is mostly filled with blue marbles so even if it is random it is more probable

3 0
3 years ago
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a music streaming service charges a $20 membership fee each month. the streaming service charges $1.50 for every song that you d
Anarel [89]

Answer:

17

Step-by-step explanation:

If it costs $20 for the membership fee, then you can subtract that from the total monthly cost, giving you $25.50.

Then, you can divide this number by the price of each song to work out how many songs you downloaded, because you are simply rearranging the formula to work out the total price. $25.50 / $1.50 = 17.

3 0
3 years ago
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