Answer:
0.3575
Step-by-step explanation:
A population with a normal distribution has a mean of 104 and a standard deviation of 15. A sample of 30 items is taken from that population. (a) (4 points) What is the probability of the sample mean is not less than 103?
The probability of the sample mean is not less than 103 means the sample mean is equal to 103
We solve using the z score formula
z = (x-μ)/σ/√n
where
x is the raw score = 103
μ is the population mean = 104
σ is the population standard deviation = 15
n is the random number of sample = 30
z = 103 - 104/15/√30
z = -1/2.7386127875
z = -0.36515
Probability value from Z-Table:
P(x≤ 103) = 0.3575
Therefore, the probability of the sample mean is not less than 103 is 0.3575
Answer:
- x = 81 and 3/4
Step-by-step explanation:
8 × 2 – 4x = 363
16 - 4x = 363
Subtract 16 from each side:
16 - 16 - 4x = 363 - 16
- 4x = 327
Divide each side by 4:
- 4x ÷ 4 = 327 ÷ 4
- x = 81 and 3/4
Answer:
The circumference of the circle is 6 cm (approximately).
Step-by-step explanation:
Given:
Area of the circle = 1/4π²
Now, to get the circumference of the circle we need the radius.
So, finding the radius by putting the formula of area:
Area = 
=
dividing π by both sides:
using square root on both the sides:
So, the radius is 
Now, putting the formula of circumference:
=
=
putting the value of π =3.14
=
=
=
Circumference = 5.56 cm
Therefore, the circumference of the circle is 6 cm (approximately).
The correct answer is D.
If you look at the equation you can see that the line crosses at the points
(1,5) and (-2, -4). Use this set of ordered pairs to find the slope.
(-4-5)/(-2-1) = (-9/-3) = 3
The use the point-slope formula and fill in the ordered pair (1,5) with the slope.
y - 5 = 3( x - 1)
Answer:
x = 5.4
Step-by-step explanation:
(This question has already been answered, but both of the incorrect ones were deleted, so for future reference...)
Fig A is a scale image of Fig D. These two quadrilaterals are similar, and thus, the side lengths of corresponding sides are proportional. Set the proportion x/3 = 7.2/4 (you could alternatively write it as x/7.2 = 3/4 but for the simplicity's sake, and assuming anyone who has this problem would already know how to solve proportions like these...)
7.2/4 = 1.8
so
x/3 = 1.8
now multiply both sides by 3 to get x = 5.4
