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Contact [7]
3 years ago
14

4(3x + 3) = 3(5x + 0.5) What is the value of x?

Mathematics
2 answers:
Marianna [84]3 years ago
6 0
X= 3.5
(remove the parentheses)
12x+12=15x+1.5
12x-12=15x+1.5
12x-15x =1.5-12
-3x = -10.5
(divide both sides by -3)
x= 3.5
11111nata11111 [884]3 years ago
3 0

Answer:

x=3.5

Step-by-step explanation:

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An electronics hobbyist has three electronic parts cabinets with two drawers each.
Andrews [41]

Answer:

a) 0.5 = 50% probability that an NPN transistor will be selected.

b) 0.3333 = 33.33% probability that it came from the cabinet that contains both types

c) 66.67% probability that it comes from the cabinet that contains only NPN transistors

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

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

In which

P(B|A) is the probability of event B happening, given that A happened.

P(A \cap B) is the probability of both A and B happening.

P(A) is the probability of A happening.

a) What is the probability that an NPN transistor will be selected?

1/3 probability that the first cabinet is chosen. This cabinet has two transistors, both of which are NPN, so 100% probability of selecting a NPN transistor.

1/3 probability that the second cabinet is chosen. This cabinet has two transistors, both of which are PNP, so 0% probability of selecting a NPN transistor.

1/3 probability that the second cabinet is chosen. This cabinet has two transistors, one of which is NPN, so 50% probability of selecting a NPN transistor.

So

p = \frac{1}{3}*1 + \frac{1}{3}*0 + \frac{1}{3}*0.5 = \frac{1}{3} + \frac{1}{6} = \frac{2}{6} + \frac{1}{6} = \frac{3}{6} = 0.5

0.5 = 50% probability that an NPN transistor will be selected.

b) Given that the hobbyist selects an NPN transistor, what is the probability that it came from the cabinet that contains both types?

Here we use the conditional probability formula.

Event A: NPN transistor

Event B: From the third cabinet.

50% probability that an NPN transistor will be selected, so P(A) = 0.5.

1/6 probability that it is from the third cabinet and NPN, so P(A \cap B) = \frac{1}{6}

The desired probability is:

P(B|A) = \frac{\frac{1}{6}}{0.5} = 0.3333

0.3333 = 33.33% probability that it came from the cabinet that contains both types.

c) Given that an NPN transistor is selected what is the probability that it comes from the cabinet that contains only NPN transistors?

Either it comes from the cabinet with only NPN transistors, or it comes from the cabinet with both types of transistors. The sum of the probabilities of these outcomes is 100%. So

x + 33.33 = 100

x = 66.67

66.67% probability that it comes from the cabinet that contains only NPN transistors

6 0
3 years ago
Keith left his house, rode his bike 3 miles along one road, took a 90 degree turn, and rode 3 miles to the local swimming pool.
Sergio039 [100]
For this case we can model the problem as a rectangle triangle.
 We know:
 Length of the sides of the triangle
 We want to know:
 Length of the hypotenuse
 Using the Pythagorean theorem we have:
 d =  \sqrt{3^2 + 3^2}
 Rewriting the expression we have:
 d = \sqrt{2(3^2)}
 d = 3\sqrt{2}
 d = 4.2 miles
 Then, the distance that he would have saved if he travels directly is:
 3 + 3 - 4.2 = 1.8 miles

 Answer:
 
he would have saved:
 
1.8 miles

3 0
3 years ago
Read 2 more answers
One pizza will feed 4 people. How many pizzas are needed for 8 people?
tatuchka [14]

Answer:

<h2>2 pizzas </h2>

Step-by-step explanation:

1 \: pizza = 4\:people\\x \:pizzas = 8\:people\\\\Cross \:multiply\\\\4x =8\\\\Divide\:both\:sides\:of\:the\:equation\:by\:4\\\frac{4x}{4}=\frac{8}{4}  \\\\x =2 \: pizzas

3 0
3 years ago
Write 32/21 as a mixed number.
hammer [34]

Answer:

1 11/21

Step-by-step explanation:

In order to convert 32/21 to mixed number, you follow these steps:

Divide the numerator by the denominator

32 ÷ 21 = 1 with a remainder of 11

Write down the whole number 1 and then write down the remainder as new numerator (11) above the denominator (21), As below:

1  11/21

6 0
2 years ago
Read 2 more answers
SOMEBODY PLEASE HELP ME it’s due at 11:59
lapo4ka [179]

Answer:

c

Step-by-step explanation:

given: miles traveled and cost

to find: which one is correct

solution:

miles traveled =25

And cost =80

80/25 = 3.2

similarity all $3.20 cost increase

7 0
2 years ago
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