By using the given scale, we will see that the real distance is 240km
What is the real distance between Cardiff and London?We know that the scale of the map is 1 cm to 12km, so we just need to take the distance in centimeters on the map, and multiply that number by 12 km.
We know that on the map, the distance between Cardiff and London is 20cm, then the real distance is 12km times that, so we will get:
real distance = 20*12km = 240km
The real distance between Cardiff and London is 240 kilometers.
Learn more about scale factors:
https://brainly.com/question/25722260
#SPJ1
Suppose that two high school students decide to see if they get the same results as the
researcher. They both do 30 minutes of aerobic exercise and, immediately following the
exercise, take the test. The mean of their scores is = 25.2 seconds, the same as that of the
publication article. It is appropriate to conclude which of the following?
Complete question is;
A researcher wishes to determine if aerobic exercise improves mental performance immediately following the exercise. He plans to have high school students participate in 30 minutes of aerobic exercise and then take a standard test of their reasoning skills. Suppose the scores of high school students on this test of reasoning skills immediately after 30 minutes of aerobic exercise follow a Normal distribution with mean μ and standard deviation σ = 4. Suppose also that, in the general population of all high school students, scores on the test of reasoning skills follow a Normal distribution with mean 25 and standard deviation σ = 4. The researcher, therefore, decides to test the following hypotheses.
H0 : μ = 25, Ha : μ > 25
To do so, the researcher has 10,000 high school students do 30 minutes of aerobic exercise and then, immediately following the exercise, take the test. The mean score for these students is = 25.2 and the P-value is less than 0.0001.
It is appropriate to conclude which of the following?
Select one:
A. The researcher has conclusively proved that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.
B. The researcher has strong evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.
C. The researcher has moderate evidence that, for high school students, 30 minutes of aerobic exercise substantially improves mental performance.
D. None of the above
Answer:
D. None of the above
Step-by-step explanation:
We see that the researcher wants to test the hypotheses;
Null hypothesis; H0 : μ = 25,
Alternative hypothesis; Ha : μ > 25
Population mean = 25 and standard deviation σ = 4
After testing a sample of 1000 students, he discovered that;
Sample size; n = 1000
Sample mean; x¯ = 25.2
After calculations, he got P-value as less than 0.0001.
Now, he can't make any conclusion or evidence for this research because there is no population mean for the aerobic exercise and also no significance value in the entire question to compare the p-value with.
Thus, none of the options are correct.
The first term of an arithmetic sequence is 4. The common difference is 8. What is the 25th term of sequence
Answer:
196
Step-by-step explanation:
T25=4+(25-1)8
=4+192
T25=196
The 25th term of the arithmetic sequence is 196.
The formula that can be used in finding the nth term of an arithmetic sequence will be: = a + (n - 1)d
where,
a = first term = 4
d = common difference = 8
n = number of terms = 25
Therefore, the 25th term of the sequence will be:
= a + (n - 1)d
= 4 + [(25 - 1) × 8]
= 4 + (24 × 8)
= 4 + 192
= 196
The 25th term is 196.
Read related link on:
https://brainly.com/question/22027628
COLLEGE MATH! HARD!
NO LINKS OR YOU WILL BE REPORTED!!!!!!!!!
Find the formula for the function of the form w(x)= Asin(Bx)+C with an (i) a maximum (3,6),(i) a minimum at (-9,6), and (iii) no critical points between these two points
You move down 5 units and right 1 unit. You end at (5,-3). Where did you start?
Answer:
ff
Step-by-step explanation:
HELP ME ASAP find the equation of the line use exact numbers y=_x+_ HELP ME ASAP
Answer:
The answer would be Y=3X+3 .
Hope it was helpful .
The equation of the line shown in the graph is y = 3x + 3.
What is the equation of line?The equation of the line shown in the graph is determined by calculating the slope and y - intercept of the line as shown below.
The slope of the line is calculated as follows;
m = Δy / Δx
where;
Δy is change in y valuesΔx is the change in x valuesm = ( 9 - 3 ) / (2 - 0 )
m = 6 / 2
m = 3
The y - intercept of the line is the point where the line intersects y-axis.
c = 3
The general equation of a line is given as;
y = mx + c
So our equation of the line becomes;
y = 3x + 3
Learn more about equation of line here: https://brainly.com/question/13763238
#SPJ2
Help me with this please:)
Answer:
12m
Step-by-step explanation:
a+b=c
a=?
b=9m
c=15m
a+9m×9m=15m×15m
a+81=225
a=225-81
a=144
find its square root
a=12m
I'm iredy The solution of 20y = 600 is
?
The solution of 20y<600 is all values ?
Answer:
Solution for For Exercise, graph the solution set. −30x ≥ 20y + 600. ... Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 ... Q: Use the intermediate value theorem to show that the polynomial function has a zero in the ...
Step-by-step explanation:
Answer:
All values less than 30.
Step-by-step explanation:
What's the correct answer?
Answer:
Step-by-step explanation:
705
Answer I confirm the other persons awnser it is 705
Step-by-step explanation:
Select the factor pair of -100 has a sum of 0?
Answer:
(2-12)
Step-by-step explanation:
Write the expression in standard form.
(8f - 4 + 1g) - (-29 + 7)
Jesse’s age is two times Adam’s age and Adam is three years older than Denise. If the sum of their ages is 33, how old is each person.
Answer:
Jesse = 18yrs
Adam = 9yrs
Denise = 6yrs
Step-by-step explanation:
Denise = x
Adam = x+3
Jesse = 2(x+3)
x+x+3+2x+6 = 33
4x+9 = 33
4x = 33-9
4x = 24
x = 6yrs
Substitute :
Denise = 6
Adam = 6+3 = 9
Jesse = 2(6+3) = 2(9) = 18
Jim runs 3 miles in 28 minutes. At the same rate, how many miles would he run in 42 minutes?
Answer:
9/2 miles or 4.5 miles
Step-by-step explanation:
First lets see how many miles Jim would run in one minute. That would be 3/28 miles in one minute. Than multiply that by 42 and you get 9/2.
find the number set which satisfies each of these problems:
if three is added to the absolute value of the product of a number and -9, the result will be 4
Answer:
The answer is -5.
Step-by-step explanation:
The absolute value of -9 is 9.
Then it would be like 4= x + 9.
If you solve it, you get -5.
Find a equation of the line that passes through the points (-2,-5) and (4,25) express the final answer in slope - intercept form. PLEASE HELP IM BEING TIMED
Answer:
y=5x+5
Step-by-step explanation:
to find the slope of the line: 25-(-5)/4-(-2)=30/6=5
so the slope is 5
to find the y-intercept:
y=5x+b
25=5(4)+b (i used the point (4, 25) and plugged in 4 for x and 35 for y)
b=5
so, the equation of the line is: y=5x+5
If y varies directly with n and inversely with m, and y = 3 when n = 6 and m = 10, then what is y when n = 12 and m = 3?
A.45
B.4/5
C.5
D.20
Answer: The answer is (c) 5
Step-by-step explanation: just know
I need help I will mark you
Answer:
the answer is D, 30% of his budget is spent on clothes
Does anyone know how to foil the answer ?!
Answer:
(a+b)(c+d)=a c+a d+b c+b d is the formula
Step-by-step explanation:
A dairy farmer delivered milk over two days.
On Monday, he used 5 gallons of fuel to drive 40 miles.
• On Tuesday, he drove 120 miles at an average rate of 10 miles per gallon of fuel.
Determine the miles traveled per gallon of fuel on Monday and the number of gallons of fuel used on
Tuesday,
Answer:
the ans is
Step-by-step explanation:
monday = 40/per gallon
tuesday = 120/per gallon
1) The miles traveled per gallon of fuel on Monday = 4 miles/gallons
2) The number of gallons of fuel used on Tuesday = 12 gallons
What is ratio?"It is a quotient of two mathematical expressions."
What is average rate?"The average rate is the total change in output values divided by the change in the input values."
For given situation,
On Monday,
a dairy farmer used 5 gallons of fuel to drive 40 miles.
So, the miles traveled per gallon of fuel would be the ratio of the distance he drove and the fuel used.
the miles traveled per gallon of fuel:
= 20 / 5
= 4 miles/gallon
Therefore, the miles traveled per gallon of fuel on Monday = 4 miles/gallons
On Tuesday,
he drove 120 miles at an average rate of 10 miles per gallon of fuel.
Let he used 'x' gallons of fuel.
⇒ 10 = 120/x
⇒ 10 × (x) = 120
⇒ x = 120/10
⇒ x = 12 gallons
Therefore, he used 12 gallons of fuel on Tuesday.
Learn more about ratio here:
https://brainly.com/question/8482466
#SPJ2
help me with these 2
9514 1404 393
Answer:
c) x = 6
d) x = 2
Step-by-step explanation:
In general, you want to "undo" what is done to the variable.
When variable terms are on both sides of the equal sign, you want to collect them on one side of the equal sign first. I like to do that by adding the opposite of the variable term with the lowest (most negative) coefficient.
Whatever you do to one side of the equation must also be done to the other side.
__
c) 2(x +3) = 18
x +3 = 9 . . . . . . divide both sides by 2
x = 6 . . . . . . . . . subtract 3 from both sides
__
d) 2x +15 = 27 -4x
6x +15 = 27 . . . . . . . add 4x to both sides
6x = 12 . . . . . . . . . . . subtract 15 from both sides
x = 2 . . . . . . . . . . . . . divide both sides by 2
What is twenty thousand, six hundred two in expanded form?
Answer:
20,000 + 600 + 2 = 20,602
Step-by-step explanation:
twenty thousand = 20,000
six hundred = 600
two = 2
Take those numbers and add them together. You get 20,602
Anna can buy 3 sweatshirts for a total of $45. How much would it cost if she were to buy 5 sweatshirts at the same price?
Answer:
Step-by-step explanation: 15 + 15 + 15 = 45 to buy 5. Will cost 15+15= 75$ hope I’m right
What is the area of a regular octagon with an apothem 16.9 yards long and a side 14 yards
long? Round the answer to the nearest tenth.
O 118.3 yd?
O6309 ydº
O946.4 yd?
O 1.892.8 yd
Answer: the anser is 946.4
Step-by-step explanation:
not sure
If you flip a coin 92 times, what is the best prediction possible for the number of times it will land on tails?
Answer:
Hence, the probability of a head on Flip 1 and a head on Flip 2 is the product of P(H) and P(H), which is 1/2 x 1/2 = 1/4. The same calculation applies to the probability of a head on Flip 1 and a tail on Flip 2. Each is 1/2 x 1/2 = 1/4.
Step-by-step explanation:
Answer:
1/4 of 92 = 23 Hope this helps
Keisha, Justin, and frank have a total of $86 in their wallets. Justin has 3 times what frank has. Keisha has $6 more than frank. How much does each have? Answer ASAP
Answer:
Keisha has 22 dollars, Justin has 48 dollars, and Frank has 16 dollars
Name the postulate or theorem
Answer:
pythagoras theorem
Step-by-step explanation:
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“.
Can u please help me ? I will mark you brainliest
Answer:
I believe it's the 4th one the 2nd on the right under that the one i think is selected looks right!
Answer is 4th one.
Step-by-step explanation:
Hope i helped! Your welcome! Have a great week!
The graph of a quadratic function with vertex (1,-3) is shown In the figure below . Find the domain and the range
Answer:
We can not see the graph, but that does not matter.
For a function y = f(x), the domain is the set of the possible values of x that we can input in the function, and the range is the set of the possible outputs.
First, for the domain, we start assuming that the domain is the set of all real numbers.
Then we look at our function, there is a point that causes a problem?
(a problem can be a zero in a denominator, for example)
Well, we have a quadratic equation, then we can not have any "x" in a denominator, then there are not problems, which means that the domain is the set of all real numbers.
For the range we first need to find the minimum (or maximum value) of f(x).
Here we know that the vertex is (1, - 3)
If the arms of the graph open upwards, then the minimum is at the vertex, which means that the minimum value of y is y = -3
And the arms go upwards infinitely, so there is no upper limit.
Then the range is the set of all numbers such that:
-3 ≤ y
Now, if the arms of the graph open downwards, then the maximum is at the vertex, which means that the maximum of our function is at y = -3
And with similar thinking than in the above case, we can find that the range is:
R: y ≤ -3.
what’s the solution to
Answer:
C
Step-by-step explanation:
When we subtract 9 from both sides we get
[tex]|x|\leq -2[/tex].
Now when we get rid of the absolute value sign, we make two inequalities.
This first is [tex]x\leq -2[/tex] and for the second we need to switch the negative sign to a positive sign and flip the [tex]\leq[/tex] to a [tex]\geq[/tex]. This makes the second equation [tex]x\geq 2[/tex].
P.S. The second equation wasn't an option in the answer.
Can someone help me? Becks?
Answer:
Perimeter = 72
Step-by-step explanation:
Notice that the adjacent (next to) lengths by each corner are equal in length.
This occurs when the quadrilateral is circumscribed.
Since 4.2 is adjacent to the length which makes up the total side 20.
20 – 4.2 = 15.8.
And 15.8 + 4.2 = 20.
(7 + 9) + (9 + 4.2) + (4.2 + 15.8) + (15.8 + 7) =
(16) + (13.2) + (20) + (22.8) =
(16 + 20) + (13.2 + 22.8) =
36 + 36 =
72
Help me please !!!!!!!!!!!!!!