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GarryVolchara [31]

4 years ago

5

What are the exact solutions of x2 − x − 4 = 0, where x equals negative b plus or minus the square root of b squared minus 4 tim

es a times c all over 2 times a?

1 answer:

Leya [2.2K]4 years ago

5 0

X=(1 + sq root 17)/2, (1 - sq root 17)/2

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What are tranversals?................................................................................................... .......

boyakko [2]

Answer:

In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points. Transversals play a role in establishing whether two or more other lines in the Euclidean plane are parallel.

Step-by-step explanation:

just keep going you find someone to comfort you one day

7 0

3 years ago

Suppose that the probability that any particle emitted by a radioactive material will penetrate a certain shield is 0.01. If 10

AnnyKZ [126]

Answer:

a)P=0.42

b) $n\geq 297$

Step-by-step explanation:

We have a binomial distribution, since the result of each experiment admits only two categories (success and failure) and the value of both possibilities is constant in all experiments. The probability of getting k successes in n trials is given by:

$P=\begin{pmatrix}n\\ k\end{pmatrix} p^k(1-p)^{n-k}=\frac{n!}{k!(n!-k!)}p^k(1-p)^{n-k}$

a) we have k=2, n=10 and p=0.01:

$P=\frac{10!}{2!(10!-2!)}0.01^2(1-0.01)^{10-2}\\P=\frac{10!}{2!*8!}0.01^2(0.99)^{8}\\P=45*0.01^2(0.99)^8=0.42$

b) We have, $1-(1-p)^n=P$ , Here P is the probability that at least one particle will penetrate the shield, this probabity has to be equal or greater than 0.95. Therefore, this will be equal to subtract from the total probability, the probability that the particles do not penetrate raised to the total number of particles.

$1-0.99^n\geq 0.95\\0.99^n\leq 1-0.95\\0.99^n\leq 0.05\\n\geq 297$

4 0

3 years ago

Answer the following questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!

valkas [14]

Answer by JKismyhusbandbae: expression 2 and expression 1

Look at the four expressions. Simplify any expressions that can be simplified to see which two are equivalent.

8v × 30v = ( 8 × 30) × ( v × v) = $240v^2$

Since expression 2 can be simplified to expression 1, they are equivalent.

4 0

4 years ago

Read 2 more answers

Given the graph above find an equation for the graph and write your anwser in slope intercept form

lys-0071 [83]

<u>Given:</u>

Given that the graph of a linear function.

We need to determine the equation of the graph in slope intercept form.

<u>Slope</u>:

Consider any two coordinates from the equation of the line to determine the slope.

Let the two coordinates are (-4,3) and (4,-1)

The slope can be determined using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

Substituting the coordinates in the above formula, we get;

$m=\frac{-1-3}{4+4}$

$m=\frac{-4}{8}$

$m=-\frac{1}{2}$

Thus, the slope of the equation is $m=-\frac{1}{2}$

<u>Value of y - intercept:</u>

The value of y - intercept is the value of y when x = 0.

Hence, from the graph, it is obvious that the value of y when x = 0 is 1.

Hence, the value of y - intercept is 1.

Thus, y - intercept is $b=1$

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

$y=mx+b$

Substituting the slope $m=-\frac{1}{2}$ and the y - intercept $b=1$

Thus, we get;

$y=-\frac{1}{2}x+1$

Thus, the equation of the line is $y=-\frac{1}{2}x+1$

5 0

3 years ago

How do i express the number 7.901 x 10 to the power of 12

Cerrena [4.2K]

Answer:

7,901,000,000,000

Step-by-step explanation:

8 0

3 years ago