All categories

3 years ago

Find the distance between the two points in simplest radical form. (5, -6) and (7, 1)

Mathematics

1 answer:

Naily [24]3 years ago

5 0

Distance: sqr (x1-x2)^2 + (y1-y2)^2
Sqr (5-7)^2 + (-6-1)^2
Sqr (-2)^2 + (-7)^2
Sqr (4) + (49)
Sqr (53)
= 7.28

You might be interested in

Customers arrivals at a checkout counter in a department store per hour have a Poisson distribution with parameter λ = 7. Calcul

IgorLugansk [536]

Answer:

(1)14.9% (2) 2.96% (3) 97.04%

Step-by-step explanation:

Formula for Poisson distribution: $P(k) = \frac{\lambda^ke^{-k}}{k!}$ where k is a number of guests coming in at a particular hour period.

(1) We can substitute k = 7 and $\lambda = 7$ into the formula:

$P(k=7) = \frac{7^7e^{-7}}{7!}$

$P(k=7) = \frac{823543*0.000911882}{5040} = 0.149 = 14.9\%$

(2)To calculate the probability of maximum 2 customers, we can add up the probability of 0, 1, and 2 customers coming in at a random hours

$P(k\leq2) = P(k=0)+P(k=1)+P(k=2)$

$P(k\leq2) = \frac{7^0e^{-7}}{0!} + \frac{7^1e^{-7}}{1!} + \frac{7^2e^{-7}}{2!}$

$P(k \leq 2) = \frac{0.000911882}{1} + \frac{7*0.000911882}{1} + \frac{49*0.000911882}{2}$

$P(k\leq2) = 0.000911882+0.006383174+0.022341108 \approx 0.0296=2.96\%$

(3) The probability of having at least 3 customers arriving at a random hour would be the probability of having more than 2 customers, which is the invert of probability of having no more than 2 customers. Therefore:

$P(k\geq 3) = P(k>2) = 1 - P(k\leq2) = 1 - 0.0296 = 0.9704 = 97.04\%$

4 0

3 years ago

Y>2x y>3 orderd pair

Ipatiy [6.2K]

<h2>Answer:</h2>

<h2>Step-by-step Explanation;</h2>

$y > 2x \: y \: > \: 3 \: \\ solve \: for \: x \\ x \: € \: ( \frac{3}{2y} \: \frac{1}{2} )\: y > \: 3 \\ solve \: for \: y \\ y \: > \: \frac{3}{2x} \: x \: > \: 0 \: and \: x \: < \: \frac{1}{2}$

<h2 />

<h2>HOPE IT HELPS!!!</h2>

<h2>I NEED BRAINLIEST ✌️</h2>

6 0

3 years ago

What is real world meaning

grin007 [14]

The definition of a real-world equation is an equation that could perhaps occur in real life, for things like construction.

⭐ Please consider brainliest! ⭐

✉️ If any further questions, inbox me! ✉️

7 0

3 years ago

Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side

gizmo_the_mogwai [7]

Answer: 6 blocks

Step-by-step explanation:

Given

Volume of the rectangular prism is $V=\dfrac{3}{4}\ yd^3$

Length of the cubic block is $a=\dfrac{1}{2}\ yd$

Volume of each cubic block is

$\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3$

Suppose, n blocks are required to measure the volume of Prism

$\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}$

Thus, 6 blocks are required to measure the volume of prism.

7 0

3 years ago

Please help me with this math problem!

Mice21 [21]

W=x
L=2x+17

Double everything since we need to lengths and two widths to find the perimeter

2x+17+2x+17+x+x = 76
Combine like terms

6x+34=76
Solve for x
First step is subtract 34 from both sides

6x=42
Next you divide both sides by 6 in order to get x by itself

X=7

Now you plug in 7 into the x’s in length and width

W=7 cm
L=31 cm

THE WIDTH IS 31 CM

Check:

7+7+31+31 = 76 cm
It equals 76 cm just like the problem said so therefore it is right.

7 0

3 years ago