Answer:
Step-by-step explanation:
Dimensions of the rectangular park = 4 inches by 6 inches
Since scale factor = [tex]\frac{\text{Dimensions of the park on map}}{\text{Dimensions of the original park}}[/tex] = [tex]\frac{1}{30}[/tex]
[tex]\frac{4}{\text{Length of the original park}}=\frac{1}{30}[/tex]
Length of the original park = 120 miles
Similarly, width of the park = 180 miles
Area of the park = Length × Width
= 120 × 180
= 21600 square miles
Therefore, area of the original park is 21600 square miles.
Formula for the ratio of area of the park on map and original park is,
[tex]\frac{\text{Area of the park on map}}{\text{Area of the original park}}=(\text{Scale factor})^2[/tex]
[tex]\frac{6}{21600}=(\text{Scale factor})^2[/tex]
Scale factor = [tex]\sqrt{\frac{1}{3600}}[/tex]
= [tex]\frac{1}{60}[/tex]
Scale factor to reproduce the map so that it fits in the brochure will be 1 inch for every 60 miles.
aubrey buys 12 bottles of orange juice at the corner store for a total cost of $3.36. If each bottle costs the same amount, how much is each bottle of juice
Answer: A bottle of juice cost $0.28
Step-by-step explanation:
12x = $3.36
Divide 12 on both sides
x = $0.28
compare square inch for 8 inch square and 8 inch round circle
Answer:
An 8 inch Circle has a diameter of 8 inch, whereas the 8 inch square has length and width of 8 inch
Step-by-step explanation:
For a circle to be an 8 inch, the diameter should be 8 inches. Square's sides are equal, so we would have 8 inches on each side of the square. The area of this 8 inch square would be 64 in^2, whereas the 8 inch circle's area is 50.24 inch ^2. (because (3.14)(r^2))
If m angle 6 = 55 and m angle 10 = 150, then m angle 8 = ?
Answer:
155
Step-by-step explanation:
everything should equal 360
150+55=205
360-205=155
your answer should be 155
I think
In 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to complete the 42.2 km (26.2 mile) race. If 100 runners are chosen at random, find the probability that exactly 97 of them finished the marathon
Answer:
The probability that exactly 97 of them finished the marathon is 0.221.
Step-by-step explanation:
We are given that in 2019, approximately 97.4% of all the runners who started the Boston Marathon were able to complete the 42.2 km race.
100 runners are chosen at random.
The above situation can be represented through the binomial distribution;
[tex]P(X = x) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x = 0,1,2,3,......[/tex]
where, n = number of trials(or samples) taken = 100 runners
r = number of success = exactly 97
p = probability of success which in our question is the probability
that runners finished the marathon, i.e; p = 0.974
So, X ~ Binom(n = 100, p = 0.974)
Now, the probability that exactly 97 of them finished the marathon is given by = P(X = 97)
P(X = 97) = [tex]\binom{100}{97} \times 0.974^{97} \times (1-0.974)^{100-97}[/tex]
= [tex]161700 \times 0.974^{97} \times 0.026^{3}[/tex]
= 0.221
Hence, the required probability is 0.221.
Using the binomial distribution, it is found that there is a 0.2207 = 22.07% probability that exactly 97 of them finished the marathon.
For each runner, there are only two possible outcomes, either they finished the marathon, or they did not. The probability of a runner finishing the marathon is independent of any other runner, which means that the binomial distribution is used to solve this question.
Binomial probability distribution
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes. n is the number of trials. p is the probability of a success on a single trial.In this problem:
97.4% of all runners finished the marathon, hence [tex]p = 0.974[/tex].100 runners are chosen at random, hence [tex]n = 100[/tex]The probability that exactly 97 of them finished the marathon is P(X = 97), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 97) = C_{100,97}.(0.974)^{97}.(0.026)^{3} = 0.2207[/tex]
There is a 0.2207 = 22.07% probability that exactly 97 of them finished the marathon.
A similar problem is given at https://brainly.com/question/24863377
What is 18 – 0.5p = –13.5???
Answer:
p = 63
Step-by-step explanation:
Stage 1: Simplify the two sides of the condition.
18−0.5p=−13.5
18+−0.5p=−13.5
−0.5p+18=−13.5
Stage 2: Subtract 18 from the two sides.
−0.5p+18−18=−13.5−18
−0.5p=−31.5
Stage 3: Divide the two sides by - 0.5.
−0.5p
−0.5 = −31.5 , −0.5
p=63
100PTS UP FOR GRABS PLEASE HELP!!!
What is the domain of the relation?
a.{y|y=2}
b.{x|x=2}
c.{x|x∈R}
d.{y|y∈R}
Answer:
C
Step-by-step explanation:
Because the domain is [-6, 6] and the line on the graph is horizontal
If a driver gear has 15 teeth and the follower gear has 5 teeth, what would the gear ratio be?
a. 5:1
b. 2:1
c. 1:2
d. 1:5
Answer:
3:1
Step-by-step explanation:
Driver : Follower --> 15:5 which is reduced to 3:1
What are the coefficients of 6kp+9k+kp-14
Answer:
6, 9, 1
Step-by-step explanation:
a coefficient is a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
Answer:
6 and 9
Step-by-step explanation:
I hope this helped!
PLEASE HURRY use the relationships between the angles to find the value of x.
Answer:
x = 25
Step-by-step explanation:
4x + 2x+10 + x-5 = 180
7x + 5 = 180
7x = 175
x = 25b
On a town map, each unit of the coordinate plane represents 1 mile. Three branches of a bank are located at A(−3, 1), B(1, 4), and C(5, −2). A bank employee drives from Branch A to Branch B and then drives halfway to Branch C before getting stuck in traffic. What is the minimum total distance the employee may have driven before getting stuck in traffic? Round to the nearest tenth of a mile if necessary. The minimum total distance the employee may have driven before getting stuck in traffic is?
Answer: 8.6 miles
Step-by-step explanation:
The distance between Branch A and Branch B is given by the Pythagoras theorem
AB² = (Vertical Distance)² + (Horizontal Distance)²
AB² = (4-1)² + (1 - -3)²
AB² = 3² + 4²
AB² = 9 + 16
AB² = 25
AB = 5
BC² = (Vertical distance)² + (Horizontal distance)²
BC² = (-2 - 4)² + (5-1)²
BC² = (-6)² + (4)²
BC² = 36 + 16
BC² = 52
BC = 7.21
Half way of BC = 7.21 ÷ 2 = 3.6 miles
Total distance travelled from A to B and then halfway from B to C is 3.6+5 = 8.6 miles
The large 96 ounce popcom says it has 240 actual popped kernels. How many kernels
are in the 16 ounce small popcorn?.
Can someone plz tell me the answer and response plz
find the range of the function if the domain is 5. =4x+8
Answer:
28
Step-by-step explanation:
your domain is X 4 times 5 is 20 plus 8 is 28
What is
a-7=21 it’s for class obviously
Answer:
28
Step-by-step explanation:
7+21=28
a-7=21
Answer: a=28
Step-by-step explanation:
100 gallons of water at $1.19 per gallon
Answer:
100 gallons of water would cost $119
Step-by-step explanation:
Multiply 100 by 1.19 and you get 119.
The cost of 100 gallons of water would be $119.
20 POINTS HELP!!!!!!———-
Yosef is trying to determine whether or not he drinks enough water each day. Today, on average, he drank 2/5 of a glass of water every hour for 10 hours. To determine how much water he had, he set up an equation 2/5 x10=? What is the total amount of water yosef drank?
A: 1/25 of a glass
B:1/4 of a glass
C: 4 glasses
D:25 glasses
Answer:
C 4 glasses
I took the thing
Would it be 6x-3 or 6x^2-3? Composite function
g(x) = 3x
g(x) = 3( x )
g( f(x) ) = 3( f(x) ) ... replace every x with f(x)
g( f(x) ) = 3( 2x-1 ) .... plug in f(x) = 2x-1
g( f(x) ) = 3( 2x) + 3( -1 ) ... distribute
g( f(x) ) = 6x - 3
You are correct in saying D is the answer
A coin is tossed and then a number between 1 and 10 is chosen as random. What is the probability of getting heads then a number less than 4?
Answer:
3/20
Step-by-step explanation:
P(heads) = 1/2
P(less than 4) = 3/10
P(heads then less than 4) = (1/2) (3/10) = 3/20
combine like terms 6x - (5x) + 2x + (-3)
Answer:
13x - 3
Step-by-step explanation:
Step 1:
6x - ( 5x ) + 2x + ( - 3 ) Equation
Step 2:
6x + 5x + 2x - 3 Open Parenthises
Answer:
13x - 3 Add
Hope This Helps :)
Arden’s Grandpa tries to challenge him in his mathematics studies by creating problems for him to solve. For one problem, Grandpa said, “I am thinking of some positive integer, let’s call it k, which I then multiply by the number 1357 and I end up with a product whose final four digits are 9502. Find the smallest value of k that will make this work.”
Answer:
7
Step-by-step explanation:
Positive integer = k
If Arden's Grandpa multiplies the integer by the number 1357, or will become 1375 × k = 1375k
If he ends up with a four digits result of 9502, to get the least value of k that will make it work, we will equate 1357k to 9502.
1357k ≥ 9502 (since we need the least value, this also means k can be greater than this value).
Divide both sides by 1357
1357k ≥ 9502
1357k/1357 ≥ 9502/1357
k ≥ 7.00
Hence the smallest value of k that will make this work is 7
Please solve the equation with a rational coefficients,
then choose your answer.
-1.4m = 2.1
Answers:
-1.5
1.5
5
15
m = - 1.5
Step-by-step explanation:Hi there !
- 1.4m = 2.1
m = 2.1 : - 1/4
m = - 1.5
Good luck !
Which of the following are zero-dimensional or one-dimensional figures?
Answer:
A, B, C, DStep-by-step explanation:
Zero and one- dimensional figures are:
A. line
One- dimensionalB. Point
Zero- dimensionalC. Ray
One- dimensionalD. Segment
One- dimensionalDue to delays, a company had to extend a project from 64 days to 123 days. What was the percentage increase in time to complete the project? Round your answer to the nearest tenth.
Answer:
40%
Step-by-step explanation:
48% is the increase in time to complete the project
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that Due to delays, a company had to extend a project from 64 days to 123 days
We need to find the percentage of increase in time to complete the project.
To find this we have to find the difference and divide with actual time
123-64/123
59/123=0.479
Now we have to multiply with 100 as it is a hundredth part
0.479×100
47.9=48
Hence, 48% is the increase in time to complete the project
To learn more on Percentage click:
https://brainly.com/question/28269290
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g(t) = 3t+3 and h(t) = -2
(g•h)(t)
Answer:
(g · h)(t) = -6t - 6
Step-by-step explanation:
To find (g · h)(t), multiply g(t) by h(t).
g(t) = 3t + 3
h(t) = -2
(g · h)(t) = (-2)(3t + 3)
(g · h)(t) = -6t - 6
Which graph represents the equation y=2/3x−2?
Answer:
D is the correct answer
Answer:
option D is the answer
Step-by-step explanation:
the -2 tells you where the y intercept is and the 2/3x tells you what the slope of the line is.
Which sections should you survey while reading difficult material? a. Diagrams c. Main ideas b. Visual Aids d. All of these Please select the best answer from the choices provided A B C D
Answer:
D all of these
Step-by-step explanation:
When reading challenging information, you should pay close attention to the diagrams, important points, visuals, etc. The answer to this question is D, or all of them, as a result.
What are the points that one must observe in reading?Reading comprehension, vocabulary, phonics, fluency, phonemic awareness, and many other skills are important to keep in mind when reading. Each of them plays a unique part in any literary work.
Each and every reader must adhere to a number of requirements before reading. You must focus on the diagram first and foremost when conducting the survey because it quickly and efficiently interprets all of the data. However, in order to absorb the information quickly, the primary ideas and visual aids are equally crucial.
Hence option D is correct.
To learn more about Reading strategies;
https://brainly.com/question/15169226
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Can someone explain to me how this right?
Step-by-step explanation:
Mmm I mean what you had to do was just take the number and divide by the total number of people in that area. For Math it was 120 and for Social Studies it was 70. And then you just turn the decimals that you get into percentages. That's all!
Which inequality can this number line represent?
(01.04)
Consider a graph of the equation y = 4x - 5. What is the y-intercept? (5 points)
1) 5
2)-5
3) 4
4) -4
Answer:2
Step-by-step explanation: the equation is in linear form y=mx+b, the b represents the y intercept in your equation that would be -5
Problem #4
Term Position (n) Term Value (An)
What is the r of this sequence?
1
2. 3 4
5
93312
5
6
7 8
8
9
12
10
Answer:
Step-by-step explanation:
Five plus five = 10 hehehe
