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Pavel [41]
2 years ago
7

Hộp đựng 3 bi đỏ, 5 bi trắng và 7 bi xanh lấy ngẫu nhiên 2 bi. Tính xác suất? a, Có 1 bi đỏ trong 2 bi lấy ra b, Có ít nhất 1 bi

đỏ trong 2 bi lấy ra
Mathematics
1 answer:
Vikentia [17]2 years ago
5 0

Answer:

a) 3C1 * 12 C1 / 15 C2

b)  1 - 12C2 / 15C2

Step-by-step explanation:

Được

Viên bi đỏ = 3

Viên bi trắng = 5

Viên bi xanh = 7

Hai quả bóng được rút ra một cách ngẫu nhiên

a) Có 1 bi đỏ

3C1 * 12 C1 / 15 C2

b) Có ít nhất 1 viên bi đỏ trong số 2 viên lấy ra.

Số kết quả của việc chọn hai quả bóng trong số 15 quả bóng = 15 C2

Số kết quả của việc chọn 0 quả bóng đỏ = 15C12

Xác suất chọn được ít nhất 1 viên bi đỏ = 1 - 12C2 / 15C2

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James and Terry open a savings account that has a 2.75% annual interest rate, compounded monthly. They deposited $500 into the a
zhuklara [117]

Answer:

$275

Step-by-step explanation:

This is what I got:

You first <u>convert</u> 2.75% into 0.0275

You then <u>multiply</u> 500 x 0.0275 = 13.75

Finally you <u>multiply</u> 13.75 x 20 = 275

so the answer should be 275

5 0
3 years ago
3. f(x) = 2x + 5<br> Find f(0)
Phantasy [73]

Answer:

5

Step-by-step explanation:

f(x) = 2x + 5 \\ pluggng \: x = 0 \\ f(0) = 2 \times 0 + 5 = 0 + 5 = 5 \\ f(0) =5 \\

8 0
3 years ago
The curve with equation y=ax^2+bx has a gradient of 3 at the point (2,-2). Find the values of a and b.
Airida [17]

Answer:

a = 2, b = - 5

Step-by-step explanation:

Given

y = ax² + bx

\frac{dy}{dx} is the measure of the slope at x = a

Differentiate each term with respect to x using the power rule

\frac{d}{dx}(ax^{n} ) = nax^{n-1}

\frac{dy}{dx} = 2ax + b, hence

2ax + b = 3 at (2, - 2)

Substitute x = 2 into \frac{dy}{dx}

4a + b = 3 → (1) and substitute x = 2 into y

4a + 2b = - 2 → (2)

Subtract ( 1) from (2)

b = - 2 - 3 = - 5

Substitute b = - 5 into (1)

4a - 5 = 3 ( add 5 to both sides )

4a = 8 ( divide both sides by 4 )

a = 2

7 0
3 years ago
There are three options for fans purchasing a band's new release CD. They can purchase the CD, a premium CD bundle, or a deluxe
cluponka [151]

Answer:

The price of CD's = $15

The price of deluxe bundles  = $85

The price of premium bundles. = $ 35 ....

Step-by-step explanation:

Let c represents the number of CD's

Let d represents the number of deluxe bundles

Let p represents the number of premium bundles.

Now according to the given statement:

c = $15

d = c+2p =

d = 15+2p --------equation 1

455c+87p+35d = $12,845 --------equation 2

Now substitute the value of d in equation 2 to find the value of p

455c+87p+35d = $12,845

455(15)+87p+35(15+2p) = $12,845

6825+87p+525+70p=$12,845

Now combine the like terms:

6825+157p+525 = $12,845

Now shift all the like terms to the R.H.S

157p= 12845-6825-525

157p = 5495

Divide both sides by 157

157p/157 = 5495/157

p = 35

Now substitute the value p =35 in equation 1.

d = 15+ 2p

d = 15+2(35)

d = 15+70

d = 85

Therefore we have found that,

The price of CD's = $15

The price of deluxe bundles  = $85

The price of premium bundles. = $ 35 ....

4 0
3 years ago
Y &gt; 2 A: [2,[infinity]] B: (2,[infinity]] C: (2,[infinity]) D: [2,[infinity])
Ulleksa [173]

Answer:

B: (2,[infinity]]

Step-by-step explanation:

because you will take all numbers bigger than 2 but 2 is not included

7 0
3 years ago
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