Answer:
0.2207
Step-by-step explanation:
Here, we want to find the probability that the sample mean is greater than 25.
What we use here is the z-scores statistic
Mathematically;
z-score = (x-mean)/SD/√n
From the question;
x = 65, mean = 63, SD = 13 and n = 25
Plugging these values in the z-score equation, we have
Z-score = (65-63)/13/√25 = 2/13/5 = 0.77
So the probability we want to calculate is ;
P(z > 0.77)
This can be obtained from the standard normal distribution table
Thus;
P(z > 0.77) = 0.22065 which is 0.2207 to 4 d.p
365 x 8=2920 so his exact answer would be correct <span />
Answer:
200 bags are needed
Step-by-step explanation:
First let us determine the area of the corn field:
Shape of cornfield = square
Area of a square = Length × Length
where: Length = 100 yards
∴ Area = 100 × 100 = 10,000 square yards
1 bag of fertilizer is needed to cover 50 square yards:
50 square yards = 1 bag of fertilizer
![\therefore 1 \ square\ yard\ = \frac{1}{50}\ bag\\10,000\ square\ yards\ =\ \frac{1}{50} \times 10,000 = \frac{10l000}{50} \\ = 200 bags](https://tex.z-dn.net/?f=%5Ctherefore%201%20%5C%20square%5C%20yard%5C%20%3D%20%5Cfrac%7B1%7D%7B50%7D%5C%20bag%5C%5C10%2C000%5C%20square%5C%20yards%5C%20%3D%5C%20%5Cfrac%7B1%7D%7B50%7D%20%5Ctimes%2010%2C000%20%3D%20%5Cfrac%7B10l000%7D%7B50%7D%20%5C%5C%20%3D%20200%20bags)
Hence, 200 bags are needed.
Answer:
Brainiest
Step-by-step explanation:
"The classical revival of the late eighth and early ninth centuries, without doubt, the most momentous and critical stage in the transmission of the legacy of Rome, was played out against the background of a reconstituted empire which stretched from the Elbe to the Ebro, Calais to Rome, welded together for a time into a political and spiritual whole by the commanding personality of an emperor who added to his military and material resources the blessing of Rome. Although the political achievement of Charlemagne (768-814) crumbled in the hands of his successors, the cultural movement which it fostered retained its impetus in the ninth century and survived into the tenth.
Answer:
785.0cm³
Step-by-step explanation:
Formula of calculating volume of a cylinder
= π r²h (Pie × radius square × height)
Radius given = 5cm
Height given = 10cm
working: π × radius²× height
= π × 5² × 10
=785.5398
=785.0cm³ (3s.f)