All categories

3 years ago

Hey what does x = in this: 5x - 3 = 7

Mathematics

1 answer:

Oliga [24]3 years ago

4 0

Answer:

x=2

Step-by-step explanation:

5x - 3 = 7

Add 3 to each side

5x - 3+3 = 7+3

5x = 10

Divide each side 5

5x/5 = 10/5

x = 2

You might be interested in

Let X be the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. The article "Methodo

Shkiper50 [21]

Answer:

a) $P(X\leq 4)=0.0183+0.0733+ 0.1465+0.1954+0.1954=0.6288$

$P(X< 4)=P(X\leq 3)=0.0183+0.0733+ 0.1465+0.1954=0.4335$

b) $P(4\leq X\leq 8)=0.1954+0.1563+0.1042+0.0595+0.0298=0.5452$

c) $P(X \geq 8) = 1-P(X$

d) $P(4\leq X \leq 6)=0.1954+0.1563+0.1042=0.4559$

Step-by-step explanation:

Let X the random variable that represent the number of material anomalies occurring in a particular region of an aircraft gas-turbine disk. We know that $X \sim Poisson(\lambda=4)$

The probability mass function for the random variable is given by:

$f(x)=\frac{e^{-\lambda} \lambda^x}{x!} , x=0,1,2,3,4,...$

And f(x)=0 for other case.

For this distribution the expected value is the same parameter $\lambda$

$E(X)=\mu =\lambda=4$ , $Var(X)=\lambda=2$ , $Sd(X)=2$

a. Compute both P(X≤4) and P(X<4).

$P(X\leq 4)=P(X=0)+P(X=1)+ P(X=2)+P(X=3)+P(X=4)$

Using the pmf we can find the individual probabilities like this:

$P(X=0)=\frac{e^{-4} 4^0}{0!}=e^{-4}=0.0183$

$P(X=1)=\frac{e^{-4} 4^1}{1!}=0.0733$

$P(X=2)=\frac{e^{-4} 4^2}{2!}=0.1465$

$P(X=3)=\frac{e^{-4} 4^3}{3!}=0.1954$

$P(X=4)=\frac{e^{-4} 4^4}{4!}=0.1954$

$P(X\leq 4)=0.0183+0.0733+ 0.1465+0.1954+0.1954=0.9646$

$P(X< 4)=P(X\leq 3)=P(X=0)+P(X=1)+ P(X=2)+P(X=3)$

$P(X< 4)=P(X\leq 3)=0.0183+0.0733+ 0.1465+0.5311=0.7692$

b. Compute P(4≤X≤ 8).

$P(4\leq X\leq 8)=P(X=4)+P(X=5)+ P(X=6)+P(X=7)+P(X=8)$

$P(X=4)=\frac{e^{-4} 4^4}{4!}=0.1954$

$P(X=5)=\frac{e^{-4} 4^5}{5!}=0.1563$

$P(X=6)=\frac{e^{-4} 4^6}{6!}=0.1042$

$P(X=7)=\frac{e^{-4} 4^7}{7!}=0.0595$

$P(X=8)=\frac{e^{-4} 4^8}{8!}=0.0298$

$P(4\leq X\leq 8)=0.1954+0.1563+ 0.1042+0.0595+0.0298=0.5452$

c. Compute P(8≤ X).

$P(X \geq 8) = 1-P(X$

d. What is the probability that the number of anomalies exceeds its mean value by no more than one standard deviation?

The mean is 4 and the deviation is 2, so we want this probability

$P(4\leq X \leq 6)=P(X=4)+P(X=5)+P(X=6)$

$P(X=4)=\frac{e^{-4} 4^4}{4!}=0.1954$

$P(X=5)=\frac{e^{-4} 4^5}{5!}=0.1563$

$P(X=6)=\frac{e^{-4} 4^6}{6!}=0.1042$

$P(4\leq X \leq 6)=0.1954+0.1563+0.1042=0.4559$

4 0

4 years ago

kim took a trip to china. upon leaving she decided to convert all of her yuan back into dollars. How many dollars did she receiv

Kamila [148]

She received $2
--
8x2= 16
So if 8 yuan equals $1 then 16 divided by 8 would be $2, hope this helped.

6 0

4 years ago

Read 2 more answers

What is the exact volume of the cylinder? 32π in³ 64π in³ 128π in³ 512π in³ Cylinder with radius labeled 4 inches and height lab

8_murik_8 [283]

The answer is 128 pi in^3. You have to multiply 4x4, then multiply that by 8 to get 128.

6 0

3 years ago

Read 2 more answers

There are 48 cards in a pack and each card is either red or black.

Anon25 [30]

Answer:

Step-by-step explanation:

Red:black = 1:1

Red cards = x

Black cards =x

x + x = 48

2x = 48

x = 48/2

x = 24

No. of red cards = 24

No of black cards = 24

Now 8 red cards are removed

So, No. of red cards = 24 - 8 =16

Red: Black = 16:24

$=\frac{16}{24}=\frac{2}{3}$

Red: Black = 2:3

5 0

3 years ago

Read 2 more answers

Sam wants to tip his uber driver 20%, if his cost for the commute is $15. What will his TOTAL be with tip?

kolezko [41]

Answer:

$18.00

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers