Estimate to nearest hundreds is 600
Estimate to nearest tens is 610 or 520
Answer:
∠ ABD = 37° , ∠ DBC = 58°
Step-by-step explanation:
∠ ABD + ∠ DBC = ∠ ABC , substitute values
2x + 23 + 9x - 5 = 95 , that is
11x + 18 = 95 ( subtract 18 from both sides )
11x = 77 ( divide both sides by 11 )
x = 7
Then
∠ ABD = 2x + 23 = 2(7) + 23 = 14 + 23 = 37°
∠ DBC = 9x - 5 = 9(7) - 5 = 63 - 5 = 58°
Answer:
4. 61
5. approximately 43
6. 120
Step-by-step explanation:
4. 80 + 39 = 119
180 - 119 = 61
5. 7x - 10 = 90
+10 +10
7x = 100
divide by 7
x = 14.3
3 times 14.3 = 42.9
6. 70 + 50 = 120
180 - 120 = 60
180 - 60 = 120
Answer:
B & D
Step-by-step explanation:
We use percents in decimal form to multiply it with the price. We convert percents into decimals by dividing the percent number by 100. For example, 78% divided by 100 becomes 0.78.
There are two ways to look at it:
For finding the price we pay during a sale, we focus on the percent we pay. If 22% off is the sale, then we spend 78% or 100-22=78. If 20% off is the sale, then we pay 80% or 0.80. Multiply that by x an unknown price and we have 0.8x.
We can find the percent off by multiplying the price by the percent conversion. So 20% is 0.20. Then subtract it from the original price to find the leftover that we pay. This is x-0.2x.
Answer:
Step-by-step explanation:
a) the probability that the person is age 45 or older
=
b) the respondents did not believe the Social Security system will be secure in 20 years
i.e. prob that under 45 does not believe in this is 0.6684
the probability that the person is younger than age 45 and believes that the Social Security system will be secure in 20 years
=
c) the probability that the person is 45 years old or older given that the person selected believes the Social Security system will be secure in 20 years=Prob for both as in part b/prob he believes in SSS
=
=0.778
d) As shown above 0.6684
