Answer:
Option OD - 9
Step-by-step explanation:
Given : On the cardiac ward of a local hospital, there are 7 nursing assistants. The seven assistants have 7, 8, 5, 9, 10, 10, and 14 patients, respectively, that they assist.
To find : What is the average number of patients per nursing assistant?
Solution :
The average number of patients per nursing assistant is given by the division of sum of number of patients by total number of nursing.
So, 



Therefore, The average number of patients per nursing assistant is 9.
So, Option OD is correct.
Step-by-step explanation:
We need to choose all the expressions that are equal to 61.
(i) |−61| : It is true. Modulus of any negative number gives positive number. |-61|=61.
(ii) The opposite of −61 ; It is true. Opposite of negative is positive.
(iii) The opposite of 61 : It is false. The opposite of 61 gives -61.
(iv) distance from zero to −61 : It is true. Distance is positive always.
(v) −|61| : False. It remains negative.
(vi) −|−61| : False. It remains negative.
(vii) -(-61) : True. Double negative makes positive
.
Hence, the correct options are : (i), (ii), (iv), (vii).
Answer: Answer Number 1; Line AB is similar to
line EF
Line BC is similar to line FG
Line CD is similar to line GH
Line DA is similar to line HE
Step-by-step explanation: First and foremost both
quadrilaterals are similar but of varying dimensions.
If we label both trapezoids as ABCD and EFGH
respectively, then it follows that the corresponding
lines (as stated in the answer above) would also be
similar.
Same applies to the four angles in the interior of the
trapezoids.
Number 2, Angle A equals Angle E
Angle B equals Angle F
Angle C equals Angle G
Angle D equals Angle H
Number 3,
If the scale factor between both figures is 2:3, then
for every length of a side in figure ABCD, the
corresponding side in figure EFGH would be
multiplied by 3/2.
Therefore if AD is 8cm, then EH equals 8 x 3/2
That gives us 12cm.
If GH is 6cm, then DC equals 6 x 2/3. That gives
us 4cm.
If AB is 3 times the length of DC, then AB equals 3
x 4, that gives us 12cm.
If AB is 12cm, then EF equals 12 x 3/2. That gives
us 18cm.
Take note that the shapes are both isosceles
trapezoids, o we have two sides of equal length, AD
and BC in the first figure and then EH and FG in the
other figure.
The first trapezoid has sides 8cm, 12cm, 8cm and
4cm. The perimeter is given as 8+12+8+4 32cm.
The second trapezoid has sides 12cm, 18cm, 12cm
and 6cm. The perimeter is given as 12+18+12+6=
48cm.
Answer:
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Step-by-step explanation:
<em>For the case of victor: </em>, let total cost be
and total weight be
.
So the price rate per 1 pound of blueberries should be,

<em>For general case: </em>1 pound costs
so
pound costs
pounds. So the equation should be,
![t = wR_p [R_p = 1.05]](https://tex.z-dn.net/?f=t%20%3D%20wR_p%20%20%20%20%20%20%20%20%20%5BR_p%20%3D%201.05%5D)
Answer:
113.1 cm³
Step-by-step explanation:
The volume of a sphere of radius r is V = (4/3)πr³.
If the radius is 3 cm and the answer is to be expressed to the nearest tenth, then we get:
V = (4/3)(3.14159)(3 cm)³
= (4/3)(84.82 cm³
= 113.1 cm³