All categories

3 years ago

The sum of 10 and one-third of a number is equal to 13. What is the number? (Write an equation and solve)

Mathematics

2 answers:

4vir4ik [10]3 years ago

7 0

Answer:

9 is the answer and the equation is 10 + 1/3x = 13

Step-by-step explanation:

10 + 1/3x = 13

-10 -10

____________

1/3x = 3

mote1985 [20]3 years ago

4 0

Answer:

1 and 1 third. SOo..: 1 1/3

Step-by-step explanation:

You might be interested in

the sum of the digits of a two-digit number is 9. when the digits are reversed, the new number is 9 more than the original numbe

kupik [55]

Answer:

The original number is 9...? You typed it in the question itself....

Step-by-step explanation:

5 0

3 years ago

the bottom of the swimming pool has an area of 48 meters. If the pool is 2 meters deep, what is the volume of the pool

KiRa [710]

Volume of a rectangular prism=Base*Height
Area is 48 meters squared and height is 2 meters
V=48*2
V=96 cubic meters

3 0

3 years ago

Can u help me with (29,30,31)

Gennadij [26K]

Answer:

v = -5, t = -13. , d = -12

Step-by-step explanation:

29) 3v - 9v = 30

Simplifying gives us -6v = 30. Then dividing both sides by -6 reaches our answer of v = -5.

30)12t - 8t = -52

Simplifying gives us 4t = -52. We can divide both sides by 4 to reach a conclusion that t = -13.

31) -8d - 5d + 7d = 72

Simplifying gives us -6d = 72. We can then divide both sides by -6. In doing so, we can achieve our answer that d = -12.

3 0

3 years ago

A ladder leans against the side of a house. The angle of elevation of the ladder is 70 when the bottom of the ladder is 16ft fro

makkiz [27]

46.78

Step-by-step explanation:

you divide 16 by the cos of 70 and it turns out to be 46.78

3 0

3 years ago

Software filters rely heavily on ""blacklists"" (lists of known ""phishing"" URLs) to detect fraudulent e-mails. But such filter

crimeas [40]

Answer:

a) $X \sim Binom(n=16, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

The expected value is given by this formula:

$E(X) = np=16*0.2=3.2$

b) $P(X=0)=(16C0)(0.2)^{0} (1-0.2)^{16-0}=0.02815$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Part a

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=16, p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

The expected value is given by this formula:

$E(X) = np=16*0.2=3.2$

Part b

For this case we want this probability:

$P(X=0)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

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

And using this function we got:

$P(X=0)=(16C0)(0.2)^{0} (1-0.2)^{16-0}=0.02815$

6 0

2 years ago