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.
Leona tracks her calories burned while boxing. The number of calories she burns is expressed by the function c(t) = 425t, where t is the number of hours spent boxing.
To burn more calories, Leona wears heavier gloves while boxing. The number of calories she burns while wearing heavier gloves is expressed by the function b(c) = 1.1c, where c is the number of calories burned while boxing without heavy gloves.
Which of the following composite functions expresses the calories, as a function of time, that Leona burns while boxing with heavy gloves?
c[b(t)] = 467.5t
c[b(t)] = 426.1t
b[c(t)] = 467.5t
b[c(t)] = 426.1t
Answer:
C. b[c(t)] = 467.5t
Step-by-step explanation:
No step-by-step explanation, nobody pays attention to them anyway.
Answer:
the answer is C. b[c(t)] = 467.5t give the person above this answer brainly, they got here first and deserve it.
A manufacturer makes ball bearings that have a target diameter of 5 mm. Quality control engineers sample ball bearings from a batch to test the hypotheses H 0 : mu=5 mm vs. H a : mu ne5 mi , where u is the true mean diameter of the ball bearings in that batch. Suppose that H 0 is actually true. Which situation below would have the lowest probability of a Type I error?
Answer: n=30 the other one is 0.01 !
Step-by-step explanation:
khan
The situation that would have the lowest probability of a Type I error is the one with the smallest significance level (α).
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
In hypothesis testing,
A Type I error occurs when we reject the null hypothesis (H0) when it is actually true.
The probability of a Type I error is denoted by the symbol alpha (α) and is usually set to a small value, such as 0.05 or 0.01.
Now,
To minimize the probability of a Type I error, we want to choose a significance level (α) that is small.
This means that we are willing to accept a lower probability of detecting a difference when one actually exists (i.e., a higher probability of a Type II error).
For example,
If we set α = 0.01, we are saying that we are willing to accept only a 1% chance of incorrectly rejecting the null hypothesis (H0) when it is actually true. This would result in a very small probability of a Type I error.
Therefore,
The situation that would have the lowest probability of a Type I error is the one with the smallest significance level (α).
Learn more about hypothesis testing here:
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Marissa goes to the beach and places a mirror on the ground so when she looks down at it she can see the reflection to the top of the tree. Marissa is 5.5 feet tall. She stands 7 feet from the mirror. The mirror is 28 feet from the tree. How tall is the tree?
Answer:
69 feet
Step-by-step explanation:
took quiz
Brainliest goes to whoever answers correctly try to show work ONLY if you can also if you want more points answer my other questions
Answer:
Hi, there the answer is C. y=33/2x+425
I tried uploading a picture on how I got, but it keep saying I'm using offensive word, which I didn't but trust me the answer is right
Step-by-step explanation:
What’s the answer to this?
Answer
Where is the graph?
Step-by-step explanation:
1/2 cm +1/2 cm +3/4 cm +3/4 cm
Answer:
3 1/2cm
Step-by-step explanation:
What is the slope-intercept equation
for the following line?
Enter the correct
symbol, + or -
y = [?]+x+ []
answer the full equation please!!
what is the y intercept of . y = ½x -5
Answer: (0, 10) or 10
Step-by-step explanation:
plug 0 into y
(0) = 1/2x - 5
1/2x - 5 = 0
+ 5 + 5
1/2x = 5
* 2 * 2
x = 10
What expression is equivalent to -2 (5x - 4) + 13x
What expression is equivalent to -2 (5x - 4) + 13x
=3x+8
What is the value of x in the isosceles trapezoid below?
Answer:
10
Step-by-step explanation:
Leaving a 20% tip on a $45 bill? What is the Total Bill amount?
Answer:
Bill: $45.00
Tip: $9.00
Total: $54.00
Step-by-step explanation: Hope this helped!!!!!!!!!!!!!
Which property is being used here?
5.2345 x 1 = 5.2345
Am I crazy or did we always press shift two to do the at sign? Because I swear I remember it used to be command two not shift.
Answer:
No, I'm pretty sure it's always been shift lol.
Step-by-step explanation:
In order to use the at sign, your supposed to press Shift + 2 which will give you the at symbol. Sometimes, what you remembered was because either your computer has switched languages, or just a bug which could be fixed after an update.
Create a data set with at least 7 values so that the mean is 20.
plz no bot if bot i will kill 50 point
Answer:
I cant remember this
Step-by-step explanation:
i cant remember
Answer:
Hello! answer: 45, 20, 15, 11, 36, 8, and 5
Step-by-step explanation:
Data set I created: 45, 20, 15, 11, 36, 8, and 5
It doesnt matter what the data set is as long as it has 7 numbers added together that equals 140 because 140 ÷ 7 = 20 45 + 20 + 15 + 11 + 36 + 8 + 5 = 140 then divide by how many numbers are in the data set and 140 ÷ 7 = 20 Hope that helps
express 86 500 000 000 in scientific notation
Answer:86 billion 500 million.
Step-by-step explanation:
The scientific notation 86 500 000 000 can be expressed as 8.65 \times 10^{10}.
We have given that,86 500 000 000
What is the scientific notion?Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard form in the UK.
Therefore the given number can be written as
[tex]8.65 \times 10^{10}[/tex]
To learn more about the scientific notation visit:
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What is the measure of the smallest angle in the
diagram?
15°
299
32°
45°
Answer:
15
Step-by-step explanation:
it all comes down to 7x-1
then set that equal to 106 so it looks like 7x - 1 =106
106 - 1 = 105
105/7 = x
x = 15
good luck on your test
Answer:
Step-by-step explanation:
Can someone summarize this for me please?
Answer:
0 is 16 1 is 13 2 is 17 that's it final answer
5 (2n - 3) = 105 solved algebraically
Answer:
n = 12
Step-by-step explanation:
5 (2n - 3) = 105
2n-3 = 105/5
2n = 21+3
n = 24/2
n = 12
Answer:
is the answer to your thing
n=12
Crowned Brainly and will have 10 points. EMERGENCY!
Answer:
324ft^2
Step-by-step explanation:
rectangle: 22ft X 12ft = 264ft^2
trapazoid: 1/2(22+8)4 = 60ft^2
264 + 60 = 324ft^2
hope this helped!! :D
tell me if you need further explaination!
A.y=-x+0.5
B.y=-x-0.5
C.y=x+0.5
D.y=x-0.5
Answer:
D
Step-by-step explanation:
Please find the SURFACE AREA!!!!9 (you don't multiply them all together I already tried that)
Answer:
Down below.
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(4*5+5*7+7*4)
A=2(20+35+28)
A=2(83)
A=166mm^2
Joy starts with $18, and then withdraws $1 every 4 weeks, what is the equation
Answer:
The equation is how many weeks does he need to wait to get $18?
A 23.9 foot tall streetlight casts a shadow that is 17.7 feet long. How long is the shadow cast by a nearby parking meter that is 3.6 feet high?
Answer:
2.67 feet long
Step-by-step explanation:
Create a proportion where x is the length of the parking meter's shadow:
[tex]\frac{23.9}{17.7}[/tex] = [tex]\frac{3.6}{x}[/tex]
Cross multiply and solve for x:
23.9x = 63.72
x = 2.67
So, the parking meter's shadow is approximately 2.67 feet long
james says 5/5 is greater than 9/10 is james correct explain
Answer:
James is correct because 5/5 is 1 while 9/10 is 0.9. 1 is greater than 0.9 by 0.1 and that's why James is correct.
Answer:
Yes.
Step-by-step explanation:
5/5 = 1.
9/10 = 0.9 < 1.
What is the room’s perimeter?
20
Step-by-step explanation:
Find the mean of the data.
8, 12, 19, 13, 15, 12, 17, 16
The mean is
.
Answer:
The mean is 14
Step-by-step explanation:
add all of the numbers and divide by 8
If 1 raffle ticket costs $16, how many raffle tickets can you buy for $96?
Answer:
6 Raffle Tickets
Step-by-step explanation:
$96 Left/$16 per Ticket = 6 Tickets
The principal P is borrowed at a simple interest rate r for a period of time t. Find the loan's future value A, or the total amount due at time t. Round answers to the nearest cent. P=$2000, r=%6, T=6 years
Answer:
$2720
Step-by-step explanation:
Given data
Principal=$2000
r= %6
T= 6 years
The expression for the final amount is
A= P(1+rt)
A=2000(1+0.06*6)
A=2000(1+0.36)
A=2000*1.36
A=2720
Hence the amount is $2720
what is 2*3*4*5*6 uh i need more characters
Answer:
720
hope this helps
have a good day :)
Step-by-step explanation:
Answer: 720
Step-by-step explanation:
2*3 is 6
6*4 is 24
24*5 = 120
120*6=720
hope this helps ^_^
The following are the temperatures of 10 days in winter in °C.
-3, 3, 8, 4, 5, 8, -5, 6, -4, 3
Work out the mean temperature.