Answer:
Sampling is necessary because researchers in the social sciences almost never have enough resources — time or money — to collect information about the entire set of subjects of interest to them.
Step-by-step explanation:
Sampling is done because you usually cannot gather data from the entire population. Even in relatively small populations, the data may be needed urgently, and including everyone in the population in your data collection may take too long.
Answer:
A) AAS; B) LA; C) ASA
Step-by-step explanation:
AAS is the Angle-Angle-Side congruence statement. It says that if two angles and a non-included side of one triangle are congruent to the corresponding two angles and non-included side of a second triangle, then the triangles are congruent. In these triangles, ∠E≅∠K, ∠F≅∠L, and DE≅JK. These are two angles and a non-included side; this is AAS.
LA is the leg-acute theorem. It states that if a leg and acute angle of one triangle is congruent to the corresponding leg and acute angle of another triangle, then the triangles are congruent.
The leg we have congruent from each triangle is DE and JK. We also have ∠E≅∠K and ∠F≅∠L, both pairs of which are acute. This is the LA theorem.
ASA is the Angle-Side-Angle congruence statement. It says that if two angles and an included side of one triangle are congruent to the corresponding two angles and included side of another triangle, then the triangles are congruent.
We have that ∠D≅∠J, DE≅JK and ∠E≅∠K. This gives us two angles and an included side, or ASA.
Since the shape is a square the sides are equal. Then we need to find x such that x * x = 169.
Sqrt(169) = 13
So x = 13
Answer:
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Step-by-step explanation:
Step 1:
Multiply each by 5, then make any necessary conversions to the other units of measurement (ie. gallon, quart, etc)
30 gallons x 5= 150 gallons
3 quarts x 5= 15 quarts
1 pint x 5= 5 pints
Step 2:
CONVERSION
1 gallon=4 quarts
1 gallon= 8 pints
1 quart= 2 pints
GALLONS: 150 gallons
QUARTS:
=15 quarts ÷ # quarts in gallon
=15/4= 3 gallons 3 quarts
PINTS:
=5 pints ÷ # pints in quart
=5/2= 2 quarts 1 pints
TOTALS:
150 gallons
3 gallons 3 quarts
2 quarts 1 pint
Since we have 5 additional quarts, and we know that 4 quarts=1 gallon, we need to convert again.
=3 quarts + 2 quarts
=5 quarts ÷ # quarts in gallon
=5/4 = 1 gallon 1 quart
FINAL TOTALS
GALLONS: 150 + 3 + 1= 154 gallons
QUARTS: 1 quart
PINTS: 1 pints
