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yan [13]
3 years ago
14

You have 40 minutes to exercise at the gym, and you want to burn 300 calories total using both

Mathematics
1 answer:
Annette [7]3 years ago
6 0
A and b are the minutes spent on machine A and machine B, respectively.

a+b = 40
b = 40-a

8a + 6b = 300
8a + 6(40-a) = 300
8a + 240 - 6a = 300
2a = 60
a = 30
b = 40-a = 10

30 minutes on machine A and 10 minutes on machine B
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Box of 15 gadgets is known to contain 5 defective gadgets if 4 gadgets are drawn at random what is the probability of finding no
baherus [9]

To solve this problem, we make use of the Binomial Probability equation which is mathematically expressed as:

P = [n! / r! (n – r)!] p^r * q^(n – r)

where,

n = the total number of gadgets = 4

r = number of samples = 1 and 2 (since not more than 2)

p = probability of success of getting a defective gadget

q = probability of failure = 1 – p

 

Calculating for p:

p = 5 / 15 = 0.33

So,

q = 1 – 0.33 = 0.67

 

Calculating for P when r = 1:

P (r = 1) = [4! / 1! 3!] 0.33^1 * 0.67^3

P (r = 1) = 0.3970

 

 

Calculating for P when r = 2:

P (r = 2) = [4! / 2! 2!] 0.33^2 * 0.67^2

P (r = 2) = 0.2933

 

Therefore the total probability of not getting more than 2 defective gadgets is:

P = 0.3970 + 0.2933

P = 0.6903

 

Hence there is a 0.6903 chance or 69.03% probability of not getting more than 2 defective gadgets.

5 0
3 years ago
What is an equation of a line that passes through the point of (-8 2) and (-4,-3)
Alex_Xolod [135]

Answer:

<h2>y = -5/4x -8</h2>

Step-by-step explanation:

(-8,2)=(x_1 ,y_1)\\(-4 ,-3) = (x_2 ,y_2)\\\\\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}\\ \\\frac{y-2}{x-(-8)}= \frac{-3-2}{-4-(-8)}\\  \\\frac{y-2}{x+8}= \frac{-5}{-4+8} \\ \\\\\frac{y-2}{x+8} = \frac{-5}{4}\\ \\Cross\:Multiply \\4(y-2) = -5(x+8)\\\\4y-8 =- 5x-40\\\\4y = -5x-40+8\\\\4y =- 5x-32\\\\\frac{4y}{4} = \frac{-5x}{4} + \frac{-32}{4} \\\\y = -\frac{5}{4}x-8

3 0
3 years ago
Which of the following BEST defines an output? please help me, I've been stuck on this one for a while!​
NeTakaya

A statement which best defines an output is: B. an output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.

<h3>What is a function?</h3>

A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable, which is typically modelled as input (x-values) and output (y-values).

<h3>The types of function.</h3>

In Mathematics, there are different types of functions and these include the following;

  • Periodic function
  • Inverse function
  • Modulus function
  • Signum function
  • Piece-wise defined function

In this context, we can infer and logically deduce that a statement which best defines an output is that it's the result of a relation or the function rule, which usually are the y-values in a set of ordered pairs, on a table or a graph.

Read more on function here: brainly.com/question/9315909

#SPJ1

Complete Question:

Which of the following best defines an output?

A. An output is the value that determines another based on the relation or the function rule, usually the x-values in a set of ordered pairs or on a table or graph.

B. An output is the result of a relation or the function rule, usually the y-values in a set of ordered pairs or on a table or graph.

C. An output is a special type of relation for which there is a rule that pairs each input with exactly one output.

D. An output is a set of ordered pairs in which no y-value repeats.

3 0
1 year ago
Attendance at baseball games
baherus [9]
2,000 people is the answer
8 0
3 years ago
**PLEASE HELP MARKING BRAINLIEST**
Tamiku [17]

Answer:

its \: dimensions \: are \to \\\boxed{w = 17.6cm}  \: \boxed{l = 78.4cm}

Step-by-step explanation:

if \to l = 4w + 8 \\ but  \\ \: perimeter(p )= l + w = 96 \\ 4w + 8 + w = 96 \\ 5w + 8 = 96 \\ 5w = 96 - 8 \\ 5w = 88 \\ w =  \frac{88}{8}  \\  \boxed{w = 17.6cm} \boxed{l = 78.4cm}

4 0
3 years ago
Read 2 more answers
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