Someone that's good at 3.14 pie help ????

I have to determine the coordinates of the x-intercepts of the parabola. please help I need assistance with this practice proble

Roman55 [17]

The x-intercept of a graph refers to the points where the graph cuts or intersects the x-axis.

These are the x-values when y is equal to zero.

From the graph provided, the values of x when the graph cuts the x-axis are:

$\begin{gathered} x=-3 \\ and \\ x=-1 \end{gathered}$

Therefore, the coordinates of the x-intercepts are:

$(-3,0)\text{ and }(-1,0)$

The answer type is "Two points".

4 0

1 year ago

The average THC content of marijuana sold on the street is 9.3%. Suppose the THC content is normally distributed with standard d

velikii [3]

Answer:

a) $X \sim N(9.3,1)$

b) $P(X>9.2)=P(\frac{X-\mu}{\sigma}>\frac{9.2-\mu}{\sigma})=P(Z>\frac{9.2-9.3}{1})=1-P(Z$

c) The value of height that separates the bottom 75% of data from the top 25% is 9.9745.

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Part a

Let X the random variable that represent the heights of a population, and for this case we know the distribution for X is given by:

$X \sim N(9.3,1)$

Where $\mu=9.3$ and $\sigma=1$

3) Part b

We are interested on this probability

$P(X>9.2)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>9.2)=P(\frac{X-\mu}{\sigma}>\frac{9.2-\mu}{\sigma})=P(Z>\frac{9.2-9.3}{1})=1-P(Z$

4) Part c

For this part we want to find a value a, such that we satisfy this condition:

$P(X>a)=0.25$ (a)

$P(X$ (b)

Both conditions are equivalent on this case. We can use the z score again in order to find the value a.

As we can see on the figure attached the z value that satisfy the condition with 0.75 of the area on the left and 0.25 of the area on the right it's z=0.6745. On this case P(Z<0.6745)=0.75 and P(z>0.6745)=0.25

If we use condition (b) from previous we have this:

$P(X$

$P(Z$

But we know which value of z satisfy the previous equation so then we can do this:

$z=0.6745$

And if we solve for a we got

$a=9.3 +1*0.6745=9.9745$

So the value of height that separates the bottom 75% of data from the top 25% is 9.9745.

8 0

3 years ago

Answer -10 – (-2) =

Allisa [31]

Answer:

8

Step-by-step explanation:

- (-2) is the same as + 2

-10 + 2 = -8

8 0

3 years ago

Read 2 more answers

Let f(x)=x2+5x−36 . Enter the x-intercepts of the quadratic function in the boxes.

san4es73 [151]

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x^2-5*x-(36)=0

Step by step solution: Step 1: Trying to factor by splitting the middle term

1.1 Factoring x2-5x-36

The first term is, x2 its coefficient is 1.
The middle term is, -5x its coefficient is - 5.
The last term, "the constant", is -36 

Step-1: Multiply the coefficient of the first term by the constant 1 • -36 = -36

Step-2: Find two factors of -36 whose sum equals the coefficient of the middle term, which is - 5.

-36 + 1 = -35 -18 + 2 = -16 -12 + 3 = -9 -9 + 4 = -5 That's it

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
 x2 - 9x + 4x - 36

Step-4: Add up the first 2 terms, pulling out like factors :
 x • (x-9)
 Add up the last 2 terms, pulling out common factors :
 4 • (x-9)
Step-5: Add up the four terms of step 4 :
 (x+4) • (x-9)
 Which is the desired factorization

Equation at the end of step 1 : (x + 4) • (x - 9) = 0 Step 2 :Theory - Roots of a product :

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation :

2.2 Solve : x+4 = 0

Subtract 4 from both sides of the equation :
 x = -4

Solving a Single Variable Equation :

2.3 Solve : x-9 = 0

Add 9 to both sides of the equation :
 x = 9

6 0

3 years ago

Read 2 more answers

Which equation represents the line that passes through the points (4, 6) and (−2, −1)?

KatRina [158]

Find the slope first by using rise/run

$m=\frac{6-(-1)}{4-(-2)}\\m=\frac{6+1}{4+2}\\m=\frac{7}{6}$