The required value of x is 20.
A proportion is an equation in which two ratios are set equal to each other. In simple words, equivalent fraction are called as proportions.
Now the given equivalent ratios is,
3/12 = 5/x
Cross multiply the ratios we get,
3*x = 5*12
Solve them we obtain,
3x = 60
now dividing both side by 3,
3x/3 = 60/3
Solve them we obtain,
x = 20
So the value of x = 20.
Hence, for equivalent ratios 3/12 and 5/x the valueof x is 20.
To learn more about proportions :
#SPJ2
take the inverse cosine of both sides
Answer:
4/3c^4 -it wont let me put it as it shows on your screen but the 4 is on top and under the line is 3c^4,
Step-by-step explanation:
Cancel the common factor of c^3 and z^7 -im not sure if this is what you were trying to get but its a answer-
Answer:
Point A {√3 /2 ,1 /3}
Point B { 1, 1}
could not be the points on the unit circle.
Step-by-step explanation:
Unit circle :
A circle having a radius of one unit is called the unit circle.
Standard equation of circle given by
x² + y² = r²
r = radius of
∴ x² + y² = 1²
∴ x² + y² = 1
∴
Points are not on the unit circle as on substituting this x and y values
in the above equation we get
Left hand side ≠ Right-hand side
∴
could not be the points on the unit circle.
hides his car on a side street that intersects the middle of the school zone and records the speed of each car that
passes through. The 36 cars that he recorded had an average speed of 16.33 mph with a sample standard deviation
of 2.54 mph.
Calculate the appropriate test statistic (Give as a decimal rounded to the nearest thousandth).
Answer: test statistic = 0.002
Step-by-step explanation:
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
µ = 15
For the alternative hypothesis,
µ > 15
The inequality sign means that it is right tailed.
Since the population standard deviation is not given, the distribution is a student's t.
Since n = 36,
Degrees of freedom, df = n - 1 = 36 - 1 = 35
t = (x - µ)/(s/√n)
Where
x = sample mean = 16.33
µ = population mean = 15
s = samples standard deviation = 2.54
t = (16.33 - 15)/(2.54/√36) = 3.14
We would determine the p value using the t test calculator. It becomes
p = 0.002
Answer:
13260100
Step-by-step explanation:
1.32601*E7=
1.32601*10^7
move the decimal 7 units to the left and add zeros into empty spaces to increase the number 1.32601 ten million (10,000,000) times
1.32601*10000000=
13260100