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3 years ago

What property of equality is X-12=7

Mathematics

1 answer:

Andreyy893 years ago

8 0

The property of equality equal Nineteen

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Simplify (6^2)(3^3)(3x6)^4

stealth61 [152]

The answer for that is 102036672

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3 years ago

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A continuous random variable X has cdf F(x)=x² b (a) Determine the constants a and b. for a < 0, for 0 < x < 1, for x &

Karolina [17]

Any proper CDF $F(x)$ has the properties

• $\displaystyle \lim_{x\to-\infty} F(x) = 0$

• $\displaystyle \lim_{x\to+\infty} F(x) = 1$

so we have to have a = 0 and b = 1.

This follows from the definitions of PDFs and CDFs. The PDF must satisfy

$\displaystyle \int_{-\infty}^\infty f(x) \, dx = 1$

and so

$\displaystyle \lim_{x\to-\infty} F(x) = \int_{-\infty}^{-\infty} f(t) \, dt = 0 \implies a = 0$

$\displaystyle \lim_{x\to+\infty} F(x) = \int_{-\infty}^\infty f(t) \, dt = 1 \implies b = 1$

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2 years ago

1. In triangle ABC, if AB = 3cm, BC = 4cm and AC = 5cm Find

Veseljchak [2.6K]

Answer:

Step-by-step explanation:

A) The diagram of the triangle is shown in the attached photo

The lengths of the given triangle form a Pythagoras triple. This means that the square of the longest side equals the sum of the squares of the two shorter sides.

Area = 1/2 × base × height

Height = 3 cm

Base = 4 cm

Area = 1/2 × 3 × 4 = 6 cm²

B) The altitudes can be AB or BC. Therefore, the length of the shortest altitude is AB = 3 cm

The diagonal is the same as the hypotenuse which is also the longest side of the triangle. Thus,

Length of diagonal = 5 cm

8 0

2 years ago

1 3/5 •1 2/5= Find the value of each expression in lowest terms. That dot between the numbers is times

IrinaK [193]

First multiply them out to improper fractions 1 3/5 changes into 8/5 and 1 2/5 changes into 7/5 multiply them out and you should get 2 6/25.

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3 years ago

The half-life of lead is 22 years. How long will it take for a sample of this substance t decay to 80% of its original amount?

Svetlanka [38]

Answer: 7 years

Step-by-step explanation:

$t_{\frac{1}{2} }$ = In2 / ∧

since the half life is given , we have :

22 = In 2/ ∧

∧ = In2/22

∧ = 0.032

Recall the formula for half life:

$\frac{N(t)}{N(0)}$ = $e^{-∧t}$

Therefore:

0.80 = $e^{-0.032t}$

Take the In of both sides

In 0.80 = - 0.032t

t = In 0.80 / - 0.032

t = 7 years

4 0

3 years ago