Math question 8th grade

A recipe that makes 4 servings calls for 2/3 cup of flour. Isadora uses a large container of flour to make 20 servings of the re

Luden [163]

2/3 x 5 = 3
the ratio from 4 to 20 is 5, then you multiply it by the original amount
so it's 3

3 0

3 years ago

Problem 8-4 A computer time-sharing system receives teleport inquiries at an average rate of .1 per millisecond. Find the probab

Sphinxa [80]

Answer: a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318

Step-by-step explanation:

Problem 8-4 A computer time-sharing system receives teleport inquiries at an average rate of .1 per millisecond. Find the probabilities that the number of inquiries in a particular 50-millisecond stretch will be:

Since we have given that

$\lambda=0.1\ per\ millisecond=5\ per\ 50\ millisecond=5$

Using the poisson process, we get that

(a) less than or equal to 12

probability= $P(X\leq 12)=\sum _{k=0}^{12}\dfrac{e^{-5}(-5)^k}{k!}=0.9980$

(b) equal to 13

probability= $P(X=13)=\dfrac{e^{-5}(-5)^{13}}{13!}=0.0013$

(c) greater than 12

probability= $P(X>12)=\sum _{k=13}^{50}\dfrac{e^{-5}.(-5)^k}{k!}=0.0020$

(d) equal to 20

probability= $P(X=20)=\dfrac{e^{-5}(-5)^{20}}{20!}=0.00000026$

(e) between 10 and 15, inclusively

probability= $P(10\leq X\leq 15)=\sum _{k=10}^{15}\dfrac{e^{-5}(-5)^k}{k!}=0.0318$

Hence, a) 0.9980, b) 0.0013, c) 0.0020, d) 0.00000026, e) 0.0318

6 0

3 years ago

Y

vlabodo [156]

The equation of the graphed line 2x + 3y = -6 written in standard form is, $\rm y= -\frac{2}{3}x -2$ and for line 2x + 3y = 6 will be, $\rm y = \frac{-2}{3}x+2$

<h3>What is the equation?</h3>

A mathematical statement consisting of an equal symbol between two algebraic expressions with the same value is known as an equation.

a) 2x + 3y = -6

The line in which the standard form is found as;

Ax + By + C = 0

The typical form of a slope intercept is

y = mx+c

where m denotes the slope and b the line's y-intercept.

$3y= -6-2x\\\\ y=\frac{-6-2x}{3}\\\\ y= -\frac{2}{3}x -2$

To obtain the slope standard form, we rewrite. The obtained equation is in the form of the slope-intercept.

b) 2x + 3y = 6

The line in which the standard form is found as;

Ax + By + C = 0

The typical form of a slope intercept is

y = mx+c

where m denotes the slope and b the line's y-intercept.

$\rm 3y= 6-2x \\\\ y= \frac{6-2x}{3} \\\\ y = \frac{-2}{3}x+2$

Hence, The equation of the graphed line 2x + 3y = -6 written in standard form is, $\rm y= -\frac{2}{3}x -2$

To learn more, about equations, refer;

brainly.com/question/10413253

#SPJ1

What is the equation of the graphed line written in standard form?

2x + 3y = -6, 2x + 3y = 6

Summary:

a. The equation of the graphed line 2x + 3y = -6 written in standard form is y= -2/3 x -2.

b. The equation of the graphed line 2x + 3y = 6 written in standard form is y= -2/3 x +2.

3 0

2 years ago

Mr. Perkins wants to rent a car for a day. It will cost the daily fee of $75 plus $0.55 per mile driven, which expression shows

Alla [95]

Answer:

B. $75 + 0.55m$

Step-by-step explanation:

We know that the constant is $75. You only pay this once.

Whereas $0.55 you pay per mile. Which means that you will multiply 0.55 by how many miles you drive.

This means that the equation will look like:

$75 + 0.55m$

Hope this helps! :)

8 0

3 years ago

32.54 = 4.313805 + 0.3012446(x)

Ghella [55]

32.54=4.313805+0.3012446(x)

x=

$\frac{32.54 - 4.313805}{0.3012446}$

x= 93.698592439499

7 0

3 years ago