Answer:
About 3 times faster
Step-by-step explanation:
Cheetah's speed = 110 km / hr
World 100m sprint record :
Speed of sprinter :
Distance / time
100 m / 9.58s
= 10.438413 m/s
Convert Cheetah's speed to m/s
110 km/hr = (110 * 1000)m / (60 * 60 s)
= 110000 m / 3600 s
= 30.55555 m/s
Number of times cheetah is faster than sprinter :
30.55555 m/s ÷ 10.438413 m/s
= 2.927 times
Congruent figures are:
Rectangle IJGH and rectangle QRPN
Triangle EDF and triangle BAC
Triangle LKP and triangle TSU
Solution:
To identify the congruent figures in the given figures:
Two polygons are congruent if they have the same size and same shape.
(1) Rectangle IJGH and rectangle QRPN are same shape.
IH ≅ QP
IJ ≅ QR
JG ≅ RN
HG ≅ PN
Therefore rectangle IJGH and rectangle QRPN are congruent figures.
(2) Triangle EDF and triangle BAC
ED ≅ BA
DF ≅ AC
EF ≅ BC
Therefore triangle EDF and triangle BAC are congruent figures.
(3) Triangle LKP and triangle TSU
LK ≅ TS
KP ≅ SU
LM ≅ TU
Therefore triangle LKP and triangle TSU are congruent figures.
Answer:
5
Step-by-step explanation:
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean and standard deviation , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean and standard deviation .
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
In this problem, we have that:
On average, how much error would be expected between the sample mean and the population mean?
This is the standard deviation of the sample. We have that . So
The answer is 5.
Answer:
$33
Step-by-step explanation:
C = 6(3) + 15
C = 18 + 15
C = 33
Hey!
you are correct because this can be proven by alternate interior angles! This means that the 60 degree angle is also congruent to the angle with the x and 25 degrees. Also if you move the 60 degree angle up on to of the line with the other arrow, you will notice that the 60 degree angle and the x and 25 degree angle are vertical angles which means they are congruent.
So you would do x+25 = 60
subtract 25 from both sides and you get that x=35
Hope this helps!