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fenix001 [56]
3 years ago
6

What is the point slope?​

Mathematics
1 answer:
GarryVolchara [31]3 years ago
8 0

Answer:

y = -12+62

Step-by-step explanation:

y = mx+b

3 = 5(-12)+b

2 = -60+b

b = 62

y = -12+62

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Ben deposited $650 from his pressure washing business into a savings account. The simple interest rate paid by the bank is 3.5%.
bazaltina [42]

9514 1404 393

Answer:

  $91

Step-by-step explanation:

The amount of interest earned is given by the formula ...

  I = Prt

where P is the invested amount at rate r for t years.

Filling in the given values, we find the interest to be ...

  I = $650·0.035·4 = $91

Ben will earn $91 interest in 4 years.

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4 years ago
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3 years ago
Current estimates are that about 25% of all deaths are due to cancer, and of the deaths that are due to cancer, 30% are attribut
Aliun [14]

Answer:

(a) P (T|C) = 0.30, P (T|D) = 0.40 and P (O|C) = 0.30

(b) The probability that a death is due to cancer and tobacco is 0.075.

Step-by-step explanation:

Let us denote the events as follows:

C = death is due to cancer

T = cause of cancer was tobacco

D = cause of cancer was diet

O = cause of cancer was other issue

The provided information is:

P (C) = 0.25

P (T|C) = 0.30

P (T|D) = 0.40

P (O|C) = 0.30

(a)

The conditional probability of an event <em>A</em> given that another event <em>B</em> has already occurred is denoted by, P (A|B).

This implies that the occurrence of event B is affected by the previously occurred event A.

Causes of cancer are tobacco, diet and other issues. If a death is caused by cancer then the probability that the cause of cancer was tobacco or diet or something else are conditional events.

The conditional probabilities are:

0.40 for diet, 0.30 for tobacco and 0.30 for other causes.

(b)

Conditional probability formula is:

P (A|B)=\frac{P(A\cap B)}{P(B)}

Compute the probability that a death is due to cancer and tobacco as follows:

P (T|C)=\frac{P(C\cap T)}{P(C)}\\P(C\cap T)=P(T|C)\times P(C)\\=0.30\times0.25\\=0.075

Thus, the probability that a death is due to cancer and tobacco is 0.075.

8 0
3 years ago
Solve 4(x + 1) + 8 = 24
Alenkinab [10]

Let's solve your equation step-by-step.<span><span><span>4<span>(<span>x+1</span>)</span></span>+8</span>=24</span>

<span />Step 1: Simplify both sides of the equation. <span><span><span>4<span>(<span>x+1</span>)</span></span>+8</span>=24</span>

<span /><span>Simplify: (Show steps) </span><span><span><span><span><span>(4)</span><span>(x)</span></span>+<span><span>(4)</span><span>(1)</span></span></span>+8</span>=24</span> (Distribute)<span><span><span><span> 4x</span>+4</span>+8</span>=24</span><span><span><span>(<span>4x</span>)</span>+<span>(<span>4+8</span>)</span></span>=24</span>(Combine Like Terms)<span><span><span> 4x</span>+12</span>=24</span><span><span><span>4x</span>+12</span>=24</span>

<span />Step 2: Subtract 12 from both sides. <span><span><span><span>4x</span>+12</span>−12</span>=<span>24−12</span></span><span><span>4 x</span>=12</span>

<span />Step 3: Divide both sides by 4.<span><span><span>‌<span><span>4x</span>4</span></span>‌</span>=<span><span>‌<span>124 </span></span>‌</span></span><span>x=<span>3</span></span>

5 0
3 years ago
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