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2 years ago

Uri shared 6/8 of his orange with a friend. uri ste the rest so how much of the orsnge did he eat

Mathematics

2 answers:

Klio2033 [76]2 years ago

6 0

He ate 1 - 6/8 which is 2/8, or 1/4 of an orange.

Molodets [167]2 years ago

3 0

He ate 2/8 or 1/4 if the orange

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Divide 60 kg in the ratio of 5 : 7.

CaHeK987 [17]

The ratio can be written in parts as shown below;
$\frac{5}{12} : \frac{7}{12}$
Then, 60 can be divided as shown below;
$\frac{5}{12} *60: \frac{7}{12} *60$
25kg:35kg

6 0

2 years ago

Read 2 more answers

From past experience, a company has found that in carton of transistors: 92% contain no defective transistors 3% contain one def

jasenka [17]

Answer:

$E(X) = 0*0.92 + 1*0.03 +2*0.03 +3*0.02 = 0.1500$

In order to find the variance we need to find first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 0^2*0.92 + 1^2*0.03 +2^2*0.03 +3^2*0.02 = 0.3300$

The variance is calculated with this formula:

$Var(X) = E(X^2) -[E(X)]^2 = 0.33 -(0.15)^2 = 0.3075$

And the standard deviation is just the square root of the variance and we got:

$Sd(X) = \sqrt{0.3075}= 0.5545$

Step-by-step explanation:

Previous concepts

The expected value of a random variable X is the n-th moment about zero of a probability density function f(x) if X is continuous, or the weighted average for a discrete probability distribution, if X is discrete.

The variance of a random variable X represent the spread of the possible values of the variable. The variance of X is written as Var(X).

Solution to the problem

LEt X the random variable who represent the number of defective transistors. For this case we have the following probability distribution for X

X 0 1 2 3

P(X) 0.92 0.03 0.03 0.02

We can calculate the expected value with the following formula:

$E(X) = \sum_{i=1}^n X_i P(X_i)$

And replacing we got:

$E(X) = 0*0.92 + 1*0.03 +2*0.03 +3*0.02 = 0.1500$

In order to find the variance we need to find first the second moment given by:

$E(X^2) = \sum_{i=1}^n X^2_i P(X_i)$

And replacing we got:

$E(X^2) = 0^2*0.92 + 1^2*0.03 +2^2*0.03 +3^2*0.02 = 0.3300$

The variance is calculated with this formula:

$Var(X) = E(X^2) -[E(X)]^2 = 0.33 -(0.15)^2 = 0.3075$

And the standard deviation is just the square root of the variance and we got:

$Sd(X) = \sqrt{0.3075}= 0.5545$

8 0

2 years ago

Javier uses 1/8 teaspoons of nutmeg for bread how much nutmeg do u need for 8 loafs of bread

konstantin123 [22]

1/8 * 8
= 8/8 = 1 teaspoon

3 0

2 years ago

What is the recursive rule for an=4n−1? a1=4;an=an−1−1 a1=3;an=an−1+4 a1=−1;an=an−1+4 a1=3;an=an−1−1

navik [9.2K]

Plug in n = 1 into the nth term formula
a(n) = 4n-1
a(1) = 4*1-1
a(1) = 3
So the first term is 3

The second term will be 7 because we add on 4 each time, as indicated by the slope of 4. This is also known as the common difference.

So the nth term is found by adding 4 to the (n-1)st term, in other words,
a(n) = a(n-1)+4

----------------------------------------------------------------------------

In summary, the answer is
a1=3; an=an-1+4
which is choice B

4 0

2 years ago

Read 2 more answers

A truck rental company charges $50 plus $10 per hour. Identify a function that represents the total charge for renting a truck f

Reil [10]

Answer:

c(h) = 50 +10h

c(4) = 90 . . . . . it costs $90 to rent the truck for 4 hours

Step-by-step explanation:

The problem statement tells you the total charge is the sum of $50 and a charge of $10 per hour. That is, for h hours, the total charge is ...

c = 50 + 10h

In functional form, this is ...

c(h) = 50 +10h . . . . . . total charger for a rental of h hours

The function value with an input of 4 is ...

c(4) = 50 +10·4

c(4) = 90

Since the input is the number of hours of rental, and the function value is the total charge, this represents the total charge for a rental of 4 hours.

4 0

2 years ago