Please help 7th grade math

Wile E. Coyote is pursuing the Road Runner across Great Britain toward Scotland. The Road Runner chooses his route randomly, suc

Elina [12.6K]

Answer:

0.444

Step-by-step explanation:

The objective is to draw the tree diagram and find the probability that the roadrunner took the high road, given that he was caught.

The tree diagram is attached in the image below:

The required probability can be computed as:

$P(high\ road \ | \ caught) = \dfrac{P(high \ road \ and \ caught)} {P(caught)} \\ \\ P(high \ road \ | \ caught) = \dfrac{P(high \ road \ and \ caught)}{P(high \ road \ and \ caught)+P(low \ road \ and \ caught)}$

$P(high \ road \ | \ caught) =\dfrac{ 0.8*0.01 }{ 0.80*0.01 + 0.20*0.05} \\ \\ P(high \ road \ | \ caught) = \dfrac{0.008 }{ 0.008 + 0.01} \\ \\$

$P(high \ road \ | \ caught) = \dfrac{0.008 }{ 0.018}$

$\mathbf{P(high \ road \ | \ caught) = 0.444}$

8 0

3 years ago

I’ll GIVE YOU BRAINLYIEST1. A triangle has coordinates at X(3, 7), Y(6, 7) , and Z(4, 2) . Dixie created transformed the triangl

Oliga [24]

Answer:

B. (x, y) → (-x,-y)

This rule is given triangle is reflection about origin or

Rotation clockwise or counter clock wise with 180°

Step-by-step explanation:

Explanation:-

A triangle has coordinates at X(3,7),Y(6,7) and Z(4,2)

The Rule ( x, y)→ ( - x, -y)

This rule is given triangle is reflection about origin or Rotation clockwise or counter clock wise with 180°

X( 3,7) → X¹ ( -3,-7)

Y(6,7) → Y¹ (-6,-7)

Z(4,2) → Z¹( -4 ,-2)

6 0

3 years ago

Emily thinks that -11/6 - (-2/3) is -5/2. Identify the error ghat emily made. Then correct Emily’s error and find the correct va

Amanda [17]

$\bf \stackrel{\textit{she subtracted }\frac{2}{3}\textit{ instead of adding it}}{-\cfrac{11}{6}-\left(\cfrac{2}{3} \right)\impliedby \stackrel{LCD}{6}\implies \cfrac{-(1)11~~-~~(2)2}{6}}\implies \cfrac{-11~~-~~4}{6}
\\\\\\
\cfrac{-15}{6}\implies \stackrel{simplified}{-\cfrac{5}{2}}\impliedby \textit{that's correct, assuming is }\frac{2}{3}~~but~is~~-\frac{2}{3}\\\\
-------------------------------$

$\bf \stackrel{\textit{recall that minus times minus is plus}}{-\cfrac{11}{6}-\left(-\cfrac{2}{3} \right)\implies -\cfrac{11}{6}+\cfrac{2}{3}}\implies \cfrac{-(1)11+(2)2}{6}
\\\\\\
\cfrac{-11+4}{6}\implies -\cfrac{7}{6}\quad \checkmark$

7 0

4 years ago

Describe the transformations of f(x) when compared to the parent function [y = x2]. f(x) = x2+5

Debora [2.8K]

Parent Function: f(x)=x^2
Horizontal Shift: Right 5 Units
Vertical Shift: Up 3 Units
Reflection about the x-axis: None
Reflection about the y-axis: None
Vertical Compression or Stretch: None

7 0

3 years ago

A medication has a half-life of 4 hours after it enters the bloodstream. A nurse administers a dose of 225 milligrams to a patie

Mandarinka [93]

Answer:

The half life of a material is the time that a given quantity A of the material, decays into its half.

We know that the half-life is 4 hours, then we have the equation:

Q(t) = A*r^t

Where A is the initial quantity, and t is the number of hours.

and we have that r^4 = 1/2 (so when t = 4, we will have half of A)

then r = (1/2)^(1/4) = 0.84

Then our relation is

Q(t) = A*0.84^t

We have that A = 225mg,

at 1:00 pm. we have one hour after noon, so here we need to use t = 1.

Q(1) = 225mg*0.84^1 = 189.2mg

At 7:00 pm, we have 7 hours since noon, so here we need to use t = 7

Q(7) = 225mg*0.84^7 = 66.4mg

8 0

4 years ago