3 - z/4 = 8 what is the solution of this equation ?

Mathematics

2 answers:

vlada-n [284]3 years ago

7 0

$\bold{Hey\ there!}$

$\bold{3-\frac{z}{4}=8; \rightarrow 3+\frac{-1}{4}=8}$ $\bold{\frac{-1}{4}z+3=8}\\\\ \bold{Subtract\ by\ the\ number\ 3\ on\ your\ sides\downarrow}\\\\\bold{Like:\frac{-1}{4}z+3=8-3}\\\bold{Cancel:3-3\ because\ that\ gives\ us\ the\ result\ of\ 0}\\\bold{Keep:8-3\ because\ it\ helps\ us\ solve\ for\ our\ \underline{ANSWER}}\\\\\bold{Multiply\ by\ -4\ on\ each\ of\ your\ sides}\\\bold{Like:-4(\frac{-1}{4}z)}=-4(5)\\\bold{Cancel:-4(\frac{-1}{4}) \ because\ it\ gives\ you\ the\ result\ of\ 1}\\\bold{Keep:-4(5)because\ it\ gives\ you\ your\ \underline{ANSWER}}$ $\boxed{\boxed{\bold{Answer:z=-20}}}\checkmark \\ \\ \bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!} \\ \\ \\ \\ \frak{LoveYourselfFirst:)}$

ivanzaharov [21]3 years ago

4 0

Answer:

z = - 20

Step-by-step explanation:

3 - z/4 = 8

-z/4 = 5

z = -20

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7 0

3 years ago

Read 2 more answers

Suppose that X has an exponential distribution with mean equal to 10. Determine the following: a. P(X > 10) b. P(X > 20) c

GrogVix [38]

Answer:

(a) The value of P (X > 10) is 0.3679.

(b) The value of P (X > 20) is 0.1353.

(d) The value of x is 30.

Step-by-step explanation:

The probability density function of an exponential distribution is:

$f(x)=\lambda e^{-\lambda x};\ x>0, \lambda>0$

The value of E (X) is 10.

The parameter λ is:

$\lambda=\frac{1}{E(X)}=\frac{1}{10}=0.10$

(a)

Compute the value of P (X > 10) as follows:

$P(X>10)=\int\limits^{\infty}_{10} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{10} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{10}\\=|e^{-0.10 x} |^{\infty}_{10}\\=e^{-0.10\times10}\\=0.3679$

Thus, the value of P (X > 10) is 0.3679.

(b)

Compute the value of P (X > 20) as follows:

$P(X>20)=\int\limits^{\infty}_{20} {0.10 e^{-0.10 x}} \, dx \\=0.10\int\limits^{\infty}_{20} { e^{-0.10 x}} \, dx\\=0.10|\frac{e^{-0.10 x}}{-0.10} |^{\infty}_{20}\\=|e^{-0.10 x} |^{\infty}_{20}\\=e^{-0.10\times20}\\=0.1353$