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3 years ago

Which operation would isolate the variable in this equation?

Mathematics

1 answer:

Blababa [14]3 years ago

5 0

Answer:

D. Divide both sides by - 8

Step-by-step explanation:

-8x = 312

x = 312/(-8)

x = - 39

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Find the slope of the line through each pair of point

Blizzard [7]

Answer:

slope = $\frac{2}{7}$

Step-by-step explanation:

Calculate the slope m using the slope formula

= (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 6, 3) and (x₂, y₂ ) = (1, 5)

m = $\frac{5-3}{1+6}$ = $\frac{2}{7}$

8 0

3 years ago

Read 2 more answers

Let X = the time between two successive arrivals at the drive-up window of a local bank. If X has an exponential distribution wi

LuckyWell [14K]

Answer:

a) E(X)=1

b) σ=1

c) P(X>1)=0.368

d) P(2<X<5)=0.128

Step-by-step explanation:

We have X: "the time between two successive arrivals at the drive-up window of a local bank", exponentially distributed with λ = 1.

a) We have to compute the expected time between two successive arrivals.

The expected value for X as it is exponentially distributed is:

$E(X)=\dfrac{1}{\lambda}=\dfrac{1}{1}=1$

b) We have to compute the standard deviation of X.

The standard deviation is calculated as:

$\sigma=\dfrac{1}{\lambda}=\dfrac{1}{1}=1$

c) The probability that X is larger than 1 (P(X>1))

We can express the probability as:

$P(X>t)=e^{-\lambda t}\\\\P(X>1)=e^{-\lambda\cdot 1}=e^{-1}=0.368$

d) The probability that X is between 2 and 5 (P(2<X<5))

$P(X>t)=e^{-\lambda t}\\\\\\P(25)\\\\P(2$

4 0

3 years ago

Write the expression using rational exponents. Then simplify and convert back to radical notation.

ioda

Answer:

The radical notation is $3x\sqrt[3]{y^2z}$

Step-by-step explanation:

Given

$\sqrt[3]{27 x^{3} y^{2} z}$

Step 1 of 1

Write the expression using rational exponents.

$\sqrt[n]{a^{m}}=\left(a^{m}\right)^{\frac{1}{n}}$

$=a^{\frac{m}{n}}:\left({27 x^{3} y^{2} z})^{\frac{1}{3}}$

$(a \cdot b)^{r}=a^{r} \cdot b^{r}:(27)^{\frac{1}{3}}\left(x^{3}\right)^{\frac{1}{3}} \cdot\left(y^{2}\right)^{\frac{1}{3}} \cdot(z)^{\frac{1}{3}}$

$=$(3^3)^{\frac{1}{3}}\left(x^{3}\right)^{\frac{1}{3}} \cdot\left(y^{2}\right)^{\frac{1}{3}} \cdot(z)^{\frac{1}{3}}$$

$=\left(3\right)\left(x}\right)} \cdot\left(y}\right)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

$=3x \cdot(y)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

Simplify $3 x \cdot(y)^{\frac{2}{3}} \cdot(z)^{\frac{1}{3}}$

$=3 x \sqrt[3]{y^{2} z}$

Learn more about radical notation, refer :

brainly.com/question/15678734

4 0

3 years ago

Using numbers and operations to write each phrase as an expression the difference between 58 and 47

evablogger [386]

58 - 47 = 11
(written out in spoken words)
fifty-eight minus forty-seven equals eleven

Hope this helps!

4 0

3 years ago

In the figure below, segment AC is congruent to segment AB.

jeyben [28]

<span>Triangle ACD is similar to triangle ABD</span>

8 0

3 years ago