Answer:
8 centimeters.
Step-by-step explanation:
[tex]6cm\ on\ map\ -> 15km\\[/tex]
Divide 3 both sides:
[tex]2cm\ on\ map\ -> 5km[/tex]
Multiply 4 on both sides:
[tex]8cm\ on\ map\ -> 20km[/tex]
8cm on the map represents 20km.
The distance of 20 Km on scale is 8 cm.
What is Scale Factor?A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.
Given:
Scale: 6cm represents 15 Km
1 cm represents 5/2 = 2.5 Km
So, the distance of 20 Km is represented by
= 20/ 2.5
= 8 cm
Hence, the distance on scale is 8 cm.
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Probenecid is a drug used by some athletes to prevent the excretion of other substances into urine, thus lowering their detectable concentrations. A scientist makes three measurements of a urine sample known to contain probenecid and obtains a confidence interval of 11.8±0.5 mg/L at the 95% confidence level. What would happen to the confidence interval at the same confidence level if the number of measurements is increased to 10 assuming the standard deviation remains the same?
Answer:
The confidence interval will decrease
Step-by-step explanation:
Generally the confidence interval is mathematically represented as
[tex]\= x \pm z_c * \frac{s}{\sqrt{n} }[/tex]
Here [tex]z_c[/tex] is called the critical value of [tex]\frac{level \ of \ significance }{2}[/tex] obtained from the normal distribution table , s is the standard deviation , n is the sample size (number of measurements )
Now looking at the formula we that if the increase the sample size that the confidence level would decrease
So if the n is increased to 10
The confidence interval would decrease
BRAINLIEST!!Felicia had $80 when she went to a music store that charges $18 for each CD. She needs to have no less than $20 in her wallet when she leaves the store so she has enough money to buy gas for the ride home.
Which shows a possible number of CDs she could buy? Select three options.
1
2
3
4
5
Answer:
The possible number of CDs she could buy is 1, 2, and 3.
Step-by-step explanation:
First, you have to make an equation to solve to find the answer(s):
80 - (18 · x) ≥ 2080 is how much money Felicia has; 18 is for the cost of each CD; x is for the number of CDs; ≥ is no less; and 20 is how much money Felicia needs to have left.1.) 80 - (18 · 1) ≥ 20
80 - 18 · 1 ≥ 20
80 - 18 ≥ 20
62 ≥ 20
Since 62 ≥ 20 is always true, there are infinitely many solutions.
2.) 80 - (18 · 2) ≥ 20
80 - 18 · 2 ≥ 20
80 - 36 ≥ 20
44 ≥ 20
Since 44 ≥ 20 is always true, there are infinitely many solutions.
3.) 80 - (18 · 3) ≥ 20
80 - 18 · 3 ≥ 20
80 - 54 ≥ 20
26 ≥ 20
Since 26 ≥ 20 is always true, there are infinitely many solutions.
4.) 80 - (18 · 4) ≥ 20
80 - 18 · 4 ≥ 20
80 - 72 ≥ 20
8 ≥ 20
Since 8 ≥ 20 is false, there is no solution.
5.) 80 - (18 · 5) ≥ 20
80 - 18 · 5 ≥ 20
80 - 90 ≥ 20
- 10 ≥ 20
Since - 10 ≥ 20 is false, there is no solution.
Answer:
1,2,3
Step-by-step explanation:
30 points!!!
To convert measurements in the metric system, you can move the decimal point left or right. Why does this work? The metric system only uses decimal numbers. Converting in the metric system does not involve multiplication or division. The metric system is based on powers of 10. The metric system does not have conversion factors.
Answer:
Because it could be negitive or positive that chooses where the decimal goes it can either go left or right
hope this helps :)
Answer:
its c trust me :)
Step-by-step explanation:
How do i find the domain and range on a graph
Answer:
domain = x
range = y
10 decreased by twice a is 23
THERE YOU GO I HAVE TO TYPE WORDS
The inverse of f(x) = 2x + 3 is
O True
O False
The inverse of f (×) =2× + 3 is
yes it is true
What property is 6m*1=6m
The property is Multiplicative identity,
what is Multiplicative identity?An identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multiplied.
Given:
6m*1=6m
As, It states that if a number is multiplied by 1 the resultant will be the number itself. “1” is the multiplicative identity of a number. It is represented as p × 1 = p = 1 × p. Let us understand the relation with help of a real number example.
Here let say p = -3. Putting the value of p in p × 1 = p = 1 × p, we get
−3 × 1 = −3.
So, if 6m is multiplied by 1 it gives 6m using multiplicative identity.
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Ima Talker's cellphone bill is $30 in January. In each subsequent month, her bill increases by $13. (ex.
February bill is $43). How much will Ima have spent in total on her cell phone by the end of the year
(January to December)?
a. $173
d. $1296
b. $2436
e. $186
C.
$1218
Answer:e-186
Step-by-step explanation:43-13=30 and then multiply 13x12 which is 156 and then add 30 to 156 and you get your answer
Which statement Is true about these three line segments
Answer:
dlgSHJKAGDHFDKFKDK
Step-by-step explanation:
Consumers sometimes make choices that cause negative information to be put on their credit reports. Which of these is the most likely number of years that this negative information will remain on their credit reports? O A. 3 to 6 years OB. 7 to 10 years O C. 11 to 14 years OD. 15 to 18 years
Answer:
7-10 years
Step-by-step explanation
A negative choice will stay on for about 7 years in real life, so it would be B since the answer choice B was the only one with the number 7 in it
The most likely number of years that this negative information will remain on their credit reports will be 7 to 10 years.
What is a negative credit card report?Generally speaking, negative information such as late or missed payments, accounts that have been sent to collection agencies, accounts not being paid as agreed, or bankruptcies stays on credit reports for approximately seven years.
Here is a breakdown of some of the different types of “negative” information and how long you can expect the information to be on your Equifax credit report:
Late payments remain on a credit report for up to seven years from the original delinquency date -- the date of the missed payment.
Bankruptcy public records stay on your Equifax credit report from seven to 10 years, depending on the type of bankruptcy.
Other negative accounts, such as repossessions, can also stay on your report for up to seven years from the date of the first missed payment that led to the negative status.
Hence The most likely number of years that this negative information will remain on their credit reports will be 7 to 10 years.
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Three students from a 16 student class will be selected to attend a meeting. 6 of the students are female
I think you want 8/3 or 2.666666 or mabye 37%
what is −4(−5x+2)−3x−5= -30
Answer:
x = -1
Step-by-step explanation:
Step 1: Write equation
-4(-5x + 2) - 3x - 5 = -30
Step 2: Solve for x
Distribute -4: 20x - 8 - 3x - 5 = -30
Combine like terms: 17x - 13 = -30
Add 13 on both sides: 17x = -17
Divide both sides by 17: x = -1
Answer:
x = -1
Step-by-step explanation:
invere operation
−4(−5x+2)−3x−5= -30
20x - 8 -3x - 5 = -30
17x -13 = -30
17x = -17
x = -1
m angle PQS= 3x; m angle SQR=5x-20
Find x
Let as consider the complete ques is : Ray QS bisects ∠PQR. Solve for x and find m∠PQR. m∠PQS = 3x ; m∠SQR = 5x-20.
Given:
Ray QS bisects ∠PQR.
m∠PQS = 3x
m∠SQR = 5x-20
To find:
The value of x and m∠PQR
Solution:
Ray QS bisects ∠PQR. So,
[tex]m\angle PQS=m\angle SQR[/tex]
[tex]3x=5x-20[/tex]
[tex]3x-5x=-20[/tex]
[tex]-2x=-20[/tex]
[tex]x=10[/tex]
The value of x is 10.
Now,
[tex]m\angle PQR=m\angle PQS+m\angle SQR[/tex]
[tex]m\angle PQR=3x+5x-20[/tex]
[tex]m\angle PQR=8x-20[/tex]
Put x=10,
[tex]m\angle PQR=8(10)-20[/tex]
[tex]m\angle PQR=80-20[/tex]
[tex]m\angle PQR=60[/tex]
Therefore, the m∠PQR is 60 degrees.
Can someone please help this is my daughters homework
Answer:
its A
Step-by-step explanation:
HELP QUICK
Remove grouping symbols and combine like terms.
4a2 - 3[2b - 3b(b - 1)]
Answer:
[tex]4a^{2} + 9b^{2} + 3b[/tex]
Step-by-step explanation:
Distributive Property
[tex]4a^2 - 3(2b - 3b^{2} + 3b)[/tex]
Distributive Property
[tex] {4a}^{2} - 6b + 9b^{2} + 9b[/tex]
Combine Like Terms
[tex]4a^{2} + 9b^{2} + 3b[/tex]
Please solve this. It is confusing for me
What is the equivalent expression to 4(5+7) PLEASE HELP
Answer:
4 × 5 + 7
Step-by-step explanation:
I did the math.
.....
Answer:
Expression: 20 + 28, Answer: 48
Step-by-step explanation:
Distributive Property
4 * 5 + 4* 7
Expression: 20 + 28
Answer: 48
A fence on a hill uses vertical posts L and M to hold parallel rails N and P. If m∠1 = 115, then what is the measure of ∠16?
Step-by-step explanation:
Given information:
A fence on a hill uses vertical posts L and M to hold parallel rails N and P
The diagram is attached below
Here lines N and P are parallel lines
Transversal line for parallel lines N and P is line L
Calculation:
angle 1 and angle 16 are consecutive exterior angles
If parallel lines are cut by a transversal then consecutive exterior angles are supplementary
[tex]<1 +<16=180\\115+<16=180\\<16 = 180-115\\<16=65[/tex]
So measurement of angle 16 = 65 degrees
ASAP! I need some help with these 5 statistics questions please! (I will post them all separately).
Question 1: The mean time taken by all participants to run a road race was found to be 145 minutes with a standard deviation of 15 minutes. Using Chebyshev's theorem, find the percentage of runners who ran this road race in 100 to 190 minutes.
Round your answer to the nearest integer.
Can someone please help me out?
Answer:
S=46.6
Step-by-step explanation:
x is the number of years :
from 1998 to 2020 = 22 years
S-1.9x=4.8
S-(1.9)(22)=4.8
S=4.8+41.8
S=46.6
"Find y". I got this wrong and want to understand why and how to do the problem. Can someone please help?
Answer:
[tex]y=\frac{15\sqrt{3} }{4}[/tex]
Step-by-step explanation:
Well what you have here are two right triangles within another right triangles created by an altitude. This results in 3 similar triangles (see attached for reference)
As a result , using the properties of similar triangles, and taking ratios of their sides of the medium triangle and the largest triangle, we can form the following relationship:
[tex]\frac{b}{z}=\frac{y}{x} = \frac{z}{a+b}[/tex] (we know that a+b = 15), hence the equation becomes:
[tex]\frac{b}{z}=\frac{y}{x} = \frac{z}{15}[/tex] ----------eq 1
If we consider the largest triangle, we will see that
cos 30° = z / 15
but from our special angles (see second attachment) we know that cos 30° = (√3)/2
hence
(√3)/2 = z / 15
z = (15√3) / 2 --------eq 2
from the same largest triangle, we will also see that
sin 30° = x / 15
similarly from our special angles, we know that sin 30° = 1/2
hence,
1/2 = x/15
x = 15/2 --------eq 3
now that we have values for x and z, we can neglect the first term of equation 1 and form an equality with x, y and z
[tex]\frac{y}{x} = \frac{z}{15}[/tex]
[tex]y = x\frac{z}{15}[/tex] (substituting the values for x and z that we found above)
y = (15/2) · [ (15√3) / 2] / 15
y = (15√3) / 4
[tex]y=\frac{15\sqrt{3} }{4}[/tex]
How can you use unit rates to make comparisons
Which equation is equivalent to x+5=12
Answer:
x=7
Step-by-step explanation:
A father and his two sons wanted to measure the distance between the two tallest trees in the City Garden by their footsteps. It was winter and there was a fresh snow in the garden, so they decided to start measuring from the same tree by walking one after another straight to the other tree. The father's footstep is 32 inches long, while the same for his sons is 28 inches and 24 inches. In what distance, in feet, the three footsteps would overlap first time?
the least common multiple is...
(32,28,24) = 2^5 * 3 * 7 = 672
Subtract.(–3x2+4x4–8x)–(–6x+3x4+2)
Answer:
x⁴ - 3x² - 2x - 2
Step-by-step explanation:
Step 1: Write out expression
(-3x² + 4x⁴ - 8x) - (-6x + 3x⁴ + 2)
Step 2: Distribute negative
-3x² + 4x⁴ - 8x + 6x - 3x⁴ - 2
Step 3: Combine like terms (x⁴)
x⁴ - 3x² - 8x + 6x - 2
Step 4: Combine like terms (x)
x⁴ - 3x² - 2x - 2
If h(x) = 6 - X, what is the value of (nºn)(10)?
Answer:
(h°h)(10) = 10
Step-by-step explanation:
(h°h) = 6-(6-x) = x
h(10) = x
x = 10
Jane wants to determine the shortest route from her home to her workplace.
She walks only on the sidewalks indicated by dotted lines on the map. What is
the distance of the shortest route from home to work to the nearest block?
(IMPORTANT NOTE - 1) Turn radicals into decimals. 2) Do not round decimals
until the very end of the problem).
HELP PLEASE I have no idea how to do this
Answer:
did anyone figure this out
The distance between two points on a plane can be found by Pythagoras's theorem.
The shortest route from her home to her workplace is the route that passes along the block in the middle of the graph ,which is approximately 2.5 blocks shorter, than the apparently next shortest route.
Reason:
The shortest distance between two points is a straight line.
The shortest route to her workplace are the routes that approximate a straight line the most.
Following the dotted lines, there are two routes, that are approximately direct and therefore short routes to her workplace which are;
The route heading past the block close to the center of the map to her workplaceThe route to the left of the above routeTaking the route that passes close to the center of the map to her workplace ,gives;
Path 1 = √(2² + 4²) = 2·√5 (by Pythagoras's theorem)
Path 2 = √(1² + 2²) = √5
Path 3 = 1 + 1 = 2
Path 4 = √(2² + 3²) = √13
Path 5 = 3
Cumulative distance = 2·√5 + √5 + 2 + √13 + 3 ≈ 15.3
Taking the route to the left of the above route, gives;
Path 1 = √(2² + 4²) = 2·√5
Path 2 = 7 + 6 = 13
Cumulative distance = 2·√5 + 13 ≈ 17.5
Therefore, the shortest route is the route that heads to her workplace, through, close to the center of the map, which approximately 17.5 blocks - 15.3 blocks = 2.5 blocks shorter
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what is 4/y+2=10/5y?
Identify the domain of the function shown in the graph.
O A. -7 sys7
B. xso
C. y= 1.5
O O
D. xis all real numbers.
Answer. X is all real numbers
Step-by-step explanation:
Did it on apex
i’m stuck on this question please help me
Answer:
im pretty sure its the 2nd or 3rd one