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3 years ago

What is 2 and 1/5 as a mixed number?

Mathematics

2 answers:

Mama L [17]3 years ago

8 0

Ummmmmmmmm that is a mixed number already

katen-ka-za [31]3 years ago

3 0

Since it already is a mixed number, i am going to suppose you mean improper fraction, and if that is the case, then it is $\frac{11}{5}$

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An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the

BigorU [14]

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

An electronic product contains 48 integrated circuits.

This means that $n = 48$

The probability that any integrated circuit is defective is 0.01.

This means that $p = 0.01$

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173$

0.6173 = 61.73% probability that the product operates.

5 0

3 years ago

PQRS and EFGH are polygons that can be mapped onto each other using similarity transformations. The transformation that maps pol

dsp73

I know its a scale factor of .5, i just don't know if its the rotation or reflection answer.

3 0

3 years ago

Read 2 more answers

Part B If m=18, what must be the value of n for the equation to have infinitely many solutions? Explain your answer

djverab [1.8K]

The equation have infinitely many solution when n is equal to -15.41.

<h3>What is linear equation?</h3>

A linear equation in one variable is an equation which has a maximum of one variable of order 1. It is of the form ax + b = 0, where x is the variable. This equation has only one solution.

Given equation is;

24( mx + n ) = 3x + 17

where; m and n are real numbers.

Part 1. If m = 14 and n = 13 then

Putting the value of m and n in the equation we get;

= 24( 14.x + 13 ) = 3x + 17

= 336x + 312 = 3x + 17

= 336x - 3x = 17- 312

= 333x = -295

x = 0.886

Hence, x = 0.886 the equation having one solution .

part 2. if m = 18 then to find n .

put m = 18 in the given equation;

= 24(18.(0.886) + n ) = 3(0.886) + 17

= 24(15.94) + 24n = 2.658 + 17

= 382.56 + 24n = 19.658

= 24n = 19.658 - 382.56

n = -15.41

Hence, The equation have infinitely many solution when n is equal to -15.41.

TO learn more details about the types of solution click the given below.

brainly.com/question/21400387

#SPJ1

The complete question is;

PART A: Rosie writes the equation 24(mx+n)=3x+17, where m and n are real numbers.

If m=14 and n=13, does the equation have one solution, infinitely many solutions, or no solutions? Explain your answer.

3 0

1 year ago

Turn 2/sqrt(5) into Rational Number with Conjugate Turn -(5/sqrt(3)) into Rational Number with Conjugate Turn (3+sqrt(2))/sqrt(3

Talja [164]

Gcjjuivhwhbh he he nhuwb

4 0

3 years ago

Find cottheta If cactus theta = -square root 37/6

OLga [1]

The question is not clear but I will solve it for all the possible conditions.

If cosФ = - √37 ÷ 6

Which means,
Adjacent = - √37
Hypotenuse = 6

This is not possible because hypotenuse cannot be smaller.

If cosecФ = - √37 ÷ 6

Which means,
Opposite = 6
Hypotenuse = - √37

Using Pythagoras theorem,

Adjacent = (Hypotenuse)² - (Opposite)²

Adjacent = √{(- √37)² - (6)²}

Adjacent = √{(37 - 36}

Adjacent = √{(1}

Adjacent = 1

Now we have all the three sides of a right triangle, therefore, we can find out the value for cotФ.
That is;

cotФ = adjacent ÷ opposite

cotФ = $\frac{1}{6}$

7 0

3 years ago