Since we want to estimate the percentage of adults in the town who belong to a gym. We should take a random sample from the town itself because a store’s adult customers, or their friends, or first 20 customers every day for one week, or adults at the local park might not represent better sample for survey.
Therefore, Take a random sample of adults in the town, and ask each person whether he or she belongs to a gym. Calculate the percentage of the total who say “yes.”
Hence, option D describes a method that will help the marketing department accurately estimate this percentage.
A, 57%, because 0.40 divided by all possible outcomes, which is 0.70 because we know it will not be sunny tomorrow, is 0.57.
Answer:
x = 3
y = 15
Step-by-step explanation:
If △XPS ≅△DNF, their corresponding sides would be congruent. This implies that:
XP ≅ DN
PS ≅ NF
XS ≅ DF
Given that:
XP = 4y - 3
DN = 57
NF = 51
XS = 17x + 3
DF = 54
Therefore:
XP = DN
4y - 3 = 57 (Substitution)
Add 3 to both sides
4y = 57 + 3
4y = 60
Divide both sides by 4
y = 60/4
y = 15
Also,
XS = DF
17x + 3 = 54 (substitution)
Subtract 3 from each side
17x = 54 - 3
17x = 51
Divide both sides by 17
x = 51/17
x = 3
complementary angles sum up to 90°.
so if one of them is 43°, then the other is just 90 - 43 = 47°.
Answer:
Step-by-step explanation:
Opposite angles in an inscribed quadrilateral are supplementary, so ...
∠B +∠D = 180°
(3x -4) +(2x -6) = 180
5x = 190 . . . . . . . . . . . add 10, collect terms
x = 38 . . . . . . . . . . . . . divide by 5
∠D = 2(38) -6 = 70
∠B = 180 -70 = 110
The measures of angles B and D are 110° and 70°, respectively.
