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3 years ago

Based on the cards shown, what is P(pink or even)? 1/57/109/10

Mathematics

2 answers:

kvasek [131]3 years ago

6 0

Four of them are pink so it’s 4/10 and 2/5

Oksana_A [137]3 years ago

5 0

Answer:

7/10

Step-by-step explanation:

To solve this, first find how many of the cards or even. There are 5 even cards out of these 10 cards, so we have the fraction 5/10. Next, we can see that there are 4 pink cards. So, we also have the fraction of 4/10. Then, add these two fractions.

5/10 + 4/10 = 9/10.

But, since the pink 8 card and the pink 10 card are both pink and even, they were counted twice. So, we need to subtract 2/10 from 9/10. This is 7/10.

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9.4 + 2.1

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4 years ago

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Triangle FGH has the following side lengths: FG = 5 ft, GH = 10 ft, HF = 12 ft Triangle PQR is similar to triangle FGH. The long

7nadin3 [17]

The first thing we must do for this case is find the scale factor.
We have then that for the larger side of both triangle, the scale factor is:
$k = \frac{RP}{HF}$
$k = \frac{7.2}{12}$
$k = 0.6$
To find the other two sides, we must apply the scale factor on each side of the triangle FGH.
We have then:

For PQ
$PQ = k * FG

PQ = 0.6 * 5

PQ = 3$

For QR
$QR = k * GH

QR = 0.6 * 10

QR = 6$

Answer:
You have that the lengths for the other two sides of triangle PQR are:
$PQ = 3

QR = 6$

3 0

4 years ago

Can someone explain how to solve this step by step? Thank you

zysi [14]

Answer:

x=10

Step-by-step explanation:

Using the Rational Roots Test, we can say that the potential rational roots are

± (1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90).

Unfortunately, there doesn't really seem to be an easy way to figure out which numbers are actually roots outside of guess and check. Therefore, to solve this, we'll have to go through numbers until we hit something.

To make the process faster, I wrote a Python script as follows:

numbers = [1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90]

negative_numbers = [i * (-1) for i in numbers]

numbers = numbers + negative_numbers

for i in numbers:

if (i**3 - 10*(i**2) + 9*i-90) == 0:

print(i)

The result comes out as 10, meaning that 10 is our only rational root. Using the Factor Theorem, we can say that because 10 is a root, (x-10) is a factor of the polynomial. Using synthetic division, we can divide (x-10) from the polynomial to get

10 | 1 -10 9 -90

| 10 0 90

_________________

1 0 9 0

Therefore, we can say that

(x³-10x²+9x-90)/(x-10) = (x²+0x+9), so

x³-10x²+9x-90 = (x-10)(x²+9)

As the only solution to x²+9=0 contains imaginary numbers, x=10 is the only solution to x³-10x²+9x-90 = (x-10)(x²+9) = 0

7 0

3 years ago

I don’t understand this bs i need help.

Doss [256]

Answer:

Easy answer is 7

Step-by-step explanation:

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Based on the cards shown, what is P(pink or even)? 1/57/109/10​

Based on the cards shown, what is P(pink or even)? 1/57/109/10