Answer:
2.78%
Step-by-step explanation:
So to get a 6 when rolling a six-sided die, probability = 1 ÷ 6 = 0.167, or 16.7 percent chance. So to get two 6s when rolling two dice, probability = 1/6 × 1/6 = 1/36 = 1 ÷ 36 = 0.0278, or 2.78 percent.
A radio station signal covers a circular area out from the signal tower. It gets weaker the farther away your are. The local station WDHS (at location (0,0)) sends it signal out with a coverage radius of 5 miles. 1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning. 2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.
Answer:
1. We would hear better at Dunkin's since its distance from the radio station is the shortest.
2. McDonald's is out of range of the radio station since its distance is greater than the range of the radio station.
Step-by-step explanation:
1) Will we hear it better at Zaxby's (2,-4), McDonalds (4, -4), or Dunkin' (-3,3). Show work to support your decision and explain your reasoning.
We need to find the distance of each point from the tower.
The shorter the distance from the radio station the better the signal.
The distance between two points (x₁, y₁) and (x₂, y₂) is given by d = √[(x₂ - x₁)² + (y₂ - y₁)²].
With (x₁, y₁) = (0, 0) the location of local station WDHS
For Zaxby's distance located at (2, -4) = (x₂, y₂)
So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(2 - 0)² + (-4 - 0)²]
= √[(2)² + (-4)²]
= √[4 + 16]
= √20
= √(5 × 4)
= √5 × √4
= 2√5
= 4.47 miles
For McDonald's distance located at (4, -4) = (x₂, y₂)
So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(4 - 0)² + (-4 - 0)²]
= √[(4)² + (-4)²]
= √[16 + 16]
= √32
= √(16 × 2)
= √16 × √2
= 4√2
= 5.66 miles
For Dunkin's distance located at (-3, 3) = (x₂, y₂)
So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-3 - 0)² + (-3 - 0)²]
= √[(-3)² + (-3)²]
= √[9 + 9]
= √18
= √(9 × 2)
= √9 × √2
= 3√2
= 4.24 miles
Since Dunkin's distance, d₃ = 4.24 is the least distance from the radio station and is within range of 5 miles, we would hear better at Dunkin's.
2) Are any of these location outside the range of the radio station? If so, which one(s). Defend your decision mathematically.
The radio station is outside of range if its distance is greater than 5 miles. That is, d > 5 miles.
So, we calculate the distance of each point from the radio station.
With (x₁, y₁) = (0, 0) the location of local station WDHS
For Zaxby's distance located at (2, -4) = (x₂, y₂)
So, d₁ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(2 - 0)² + (-4 - 0)²]
= √[(2)² + (-4)²]
= √[4 + 16]
= √20
= √(5 × 4)
= √5 × √4
= 2√5
= 4.47 miles
For McDonald's distance located at (4, -4) = (x₂, y₂)
So, d₂ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(4 - 0)² + (-4 - 0)²]
= √[(4)² + (-4)²]
= √[16 + 16]
= √32
= √(16 × 2)
= √16 × √2
= 4√2
= 5.66 miles
For Dunkin's distance located at (-3, 3) = (x₂, y₂)
So, d₃ = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(-3 - 0)² + (-3 - 0)²]
= √[(-3)² + (-3)²]
= √[9 + 9]
= √18
= √(9 × 2)
= √9 × √2
= 3√2
= 4.24 miles
So, for each of the distances calculated above, only McDonald's distance, d₂ = 5.66 miles > 5 miles.
So, McDonald's is out of range of the radio station.
Answer this please 7= - w/8
Answer:
[tex]w = - 56[/tex]Step-by-step explanation:
[tex]7 = \frac{ - w}{8} [/tex][tex] \frac{ -w }{8} = 7[/tex][tex] - 8 \times \frac{ - w}{8} = - 8 \times 7[/tex][tex] - 1 \times ( - w) = - 8 \times 7[/tex]
[tex]1 \times w = - 8 \times 7[/tex]
[tex]w = - 8 \times 7[/tex]
[tex]w = - 56[/tex]
Hope it is helpful....PLZ PLZ PLZ I GIVE BRAINLIEST ANSWER PLZ
Answer:
[tex] \sqrt{ {( - 1 - 4)}^{2} + {(2 - ( - 3))}^{2} } = \sqrt{ {5}^{2} + {5}^{2} } = 5 \sqrt{2} [/tex]
if bob is 4 years older than twice his neighbor's age, and the sum of their ages is 67, what is bob's age ?
Answer:
bob would be 46
Step-by-step explanation:
take 67 subtract 4 to get 63 and divide it by 3 to get 3 groups of 21
add 21 and 21 to get 42+4=46
If the graph of a function is flat, then it would be described as:
Answer:
Constant.
Step-by-step explanation:
If a graph of a function is flat, it means there is no increase or decrease, meaning it has no changes.
There were 63 people sitting in a school auditorium of which 1/7 were teachers, while the rest were students. How many teachers were sitting in the
auditorium?
Answer:
eat an apple it is good for you and others around you
Answer:
9 teachers were sitting in the auditorium.
Step-by-step explanation:
63 divided by 7 is 9.
Find the volume of the prism. ____ cu. ft.
HELPP IM TAKING A TEST AND I WILL GIVE BRAINLIEST AND EXTRA POINTS
12 (tell me if im wrong sorry if i am)
Step-by-step explanation:
Find the measure of the exterior <1 A 130 B 22 C 78 D 102
Answer:
C
Step-by-step explanation:
Answer:
here
Step-by-step explanation:
B. 39, 45. C. 162, 972. D. 33, 39. 2. Based on the pattern, what are the next two ... If two angles are complementary, then the sum of their measures is 90°. ... D. alternate exterior angles. 56. 7. 8. 11. Find m2. The diagram is not to scale. 180 ... perpendicular to one of two parallel lines, then it is also perpendicular to the other.
PLZ PLZ PLZ HELP ME PLSSSSS
Answer:
x = 70
Step-by-step explanation:
Answer:
Step-by-step explanation:
b/c we know that the inside angles of a triangle add to 180
180 = 38 + x + x + 2
180 = 40 + 2x
140 = 2x
70 = x
Marla made $42 babysitting
for 5 hour's. How much money
did she make each hour?
A $8,40
B. 18.10
C. $1.90
D. $11.90
Help please
Answer: she made $8.40
Step-by-step explanation: divide 42 by 5 to get your answer
Answer:
A - $8.40
Step-by-step explanation:
You would have to do 45÷5
hii! help asap. i’ll give brainliest thanks!
Answer:
A
Step-by-step explanation:
Every object in a state of uniform motion will remain in that state of motion unless an external force acts on it.
Force equals mass times acceleration [ ].
For every action there is an equal and opposite reaction.
PLEASE HELP ASAP ill give brainliest answer
Answer:
62.1=3 sig fig
185.3=4 sig fig
1,760= 3 sig fig
0.06= 1 sig fig
I don't know if that's all the questions you have or you didn't get the last one In the pic
no link No link NO LINKS
Answer:
Base 9
Height 10
A 90
a 15 foot tree casts a shadow 20 3/4 feet long at the same time a nearby building casts a shadow 166 feet long, how tall is the building
Answer: the height of the tree is 27 feet
Step-by-step explanation: We can set up a proportion comparing the height of each object to the length of the shadow.
h s
h 15 = 18
10
Cross multiply
10 ⋅ h = 18 ⋅ 15
10 h = 270
Use the multiplicative Inverse
10
h
10
=
270
10
h = 27
Find the measure of angle x. 217 ° х 103 160 O 320 57 O 114
Answer: 145
Step-by-step explanation:
check
You want to produce a scale drawing of your living room which is 14 ft by 16 ft if you use a scale of 2 in = 4 ft what will be the dimensions of your scale drawing.
Answer:
7 in by 8 in
Step-by-step explanation:
The dimensions of the living room is 14 ft by 16 ft
In the scale drawing 2 in = 4 ft
[tex]1\ \text{in}=2\ \text{ft}[/tex]
So, 1 in of the scale drawing represents 2 ft in the real world.
[tex]1\ \text{ft of the actual dimension}=\dfrac{1}{2}\ \text{in in the scale drawing}[/tex]
[tex]14\ \text{ft}=\dfrac{14}{2}=7\ \text{in of the scale drawing}[/tex]
[tex]16\ \text{ft}=\dfrac{16}{2}=8\ \text{in of the scale drawing}[/tex]
Hence, the dimensions of the scale drawing are 7 in by 8 in.
Which point is located in Quadrant 12 A point P B point o C point OD points
Answer
Step-by-step explanation:
yeah um im not really quite sure
Function f (x) = 25x/x + 3 has a discontinuity at x = –3. What are Limit of f (x) as x approaches negative 3 minus and Limit of f (x) as x approaches negative 3 plus?
Answer: C
Step-by-step explanation:
edge2021
help please! quadratic equation and stretch factor
Answer:
Equation: f(x)=x²-4x+3
Stretch factor: a=1
Step-by-step explanation:
Notice the x-intercepts are (1,0) and (3,0) which can help us determine the equation by setting their expressions equal to 0 and expanding:
(x-1)(x-3)=0
x²-4x+3=0
Therefore, the equation is f(x)=x²-4x+3 where the stretch factor is a=1
Hailey has $9 worth of nickels.
How many nickels does Hailey have?
180 nickels
90 nickels
36 nickels
20 nickels
Answer:
180
Step-by-step explanation:
All you would have to do is divide $9 (900) by the worth of a nickel (5) thus the equation would be 900÷5 which equals 180
What is the value of x?
Answer:
5 units (you are right!)
Step-by-step explanation:
The triangles ABD and BCD are similar.
Therefore,
[tex]\frac{x}{10}=\frac{10}{4x} \\4x^{2}=100\\x^{2}=25\\x=5[/tex]
I hope this helped!
Help me out please????
Answer:
fromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfromfrom
Step-by-step explanation:
Find the length of the third side if necessary round to the nearest tenth
Answer:
H²=a²+b²
H²=4²+7²
H= 8.06
Find the area of the circle. Round you answer to the nearest hundredth.
Answer: well first you need to send the picture
Step-by-step explanation:
1. Take the picture
2. Post it to brainly
3. Get your answer
1. The Jordans are shopping for a new vehicle. They are pricing a 4 door
sedan. The base price is listed at $19,500. Factory Installed options total
$1,395. The destination charge is $385. What is the sticker price?
$17,720
$19,885
$20,895
$21,280
Answer:
21,280
Step-by-step explanation:
Answer:21,280
Step-by-step explanation: because I am smart and I am black BLM and LM and ALL LIVES MATTER
HELPPP PLZZZZ ASAP IS PLEASEEE DONT SEND A FILE AT ALL
Answer:
(-5, 7)
Step-by-step explanation:
Translate A left 6, and up 4
willl give brainlyist if quick its timedd
Answer: 0
Step-by-step explanation: The answer is 0
Answer:
y=0
Step-by-step explanation:
Twice a number added to another number is -8. The difference of the two numbers is 2. Find the
numbers.
Answer:
-2, -4
and
-1 1/3, -3 1/3
Step-by-step explanation:
2×x + y = -8
x - y = 2 or y - x = 2
first going for x-y=2
so, x = 2 + y
=> 2×(2+y) + y = -8
4 + 2y + y = -8
3y = -12
y = -4
=> x = 2 + -4 = -2
second going for y-x=2
-x = 2 -y
x = y - 2
=> 2×(y-2) + y = -8
2y - 4 + y = -8
3y = -4
y = -4/3 = -1 1/3
=> x = -4/3 - 2 = -3 1/3 (or -10/3)
The price of a dress was
reduced from $60 to $45.
By what percentage was
the price of the dress
reduced?
Answer:
25%
Step-by-step explanation:
$60 * .25 = $15
$60 - $15 = $45
hii can i pls have help, i will give brainliest:D
Answer:
4
Step-by-step explanation:
half gallon is 64 oz. 256 ÷ 64 is 4
Answer
4
Step-by-step explanation:
1 gallon = 128 fluid ounces
1/2 gallon = 64 fluid ounces
Use gallons to convert 256 fl oz then multiply result by 2
256 / 128 = 2
2 x 2 = 4
4 half gallon containers
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K