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DENIUS [597]
3 years ago
10

Please help!!!! In a sequence, the first term is 12 and the common difference is 3. The fourth term in this sequence is

Mathematics
1 answer:
larisa86 [58]3 years ago
4 0

Answer: 3

Step-by-step explanation: 3 difference means you are subtracting 3. So first term is 12. Second term is 12-3, so 9. Third term is 9-3, so 6. Fourth term is 6-3, so 3. 3 is the answer

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There are 20 machines in a factory. 7 of the machines are defective.
adelina 88 [10]

Answer:

0.1225

Step-by-step explanation:

Given

Number of Machines = 20

Defective Machines = 7

Required

Probability that two selected (with replacement) are defective.

The first step is to define an event that a machine will be defective.

Let M represent the selected machine sis defective.

P(M) = 7/20

Provided that the two selected machines are replaced;

The probability is calculated as thus

P(Both) = P(First Defect) * P(Second Defect)

From tge question, we understand that each selection is replaced before another selection is made.

This means that the probability of first selection and the probability of second selection are independent.

And as such;

P(First Defect) = P (Second Defect) = P(M) = 7/20

So;

P(Both) = P(First Defect) * P(Second Defect)

PBoth) = 7/20 * 7/20

P(Both) = 49/400

P(Both) = 0.1225

Hence, the probability that both choices will be defective machines is 0.1225

4 0
4 years ago
Solve for x. 2x/3+1=3
timama [110]
2x/3+1=3
-1
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2x=6
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3 0
4 years ago
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Misha Larkins [42]
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Question 9 (5 points)
Sunny_sXe [5.5K]

to get the equation of any straight line, we simply need two points off of it, let's use those two points from the table in the picture below.

(\stackrel{x_1}{-4}~,~\stackrel{y_1}{13})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{-17}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-17}-\stackrel{y1}{13}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{(-4)}}} \implies \cfrac{-30}{6 +4} \implies \cfrac{ -30 }{ 10 }\implies -3

\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{13}=\stackrel{m}{-3}(x-\stackrel{x_1}{(-4)}) \\\\\\ y-13=-3(x+4)\implies y-13=-3x-12\implies y=-3x+1

8 0
2 years ago
If 2⅕ of a number is 5. what is the number?​
Black_prince [1.1K]

Answer:

The number is ;

25/11

Step-by-step explanation:

Let- the -unknown- number- be ; x\\2\frac{1}{5} \times x =5\\\\\frac{11x}{5} =5\\Cross-Multiply\\11x = 25\\Divide- both-sides-of-the-equation -by ;  x\\\frac{11x}{11} =\frac{25}{11} \\x = 25/11\\\\x = 2\frac{3}{11}\\

6 0
4 years ago
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