Answer:
7/8 is closer to 1 than to 0
Step-by-step explanation:
7/8 = 0.875
2/6 = 1/3 = 0.33333....
7/8 is closer to 1 than to 0. TRUE
2/6 is closer to 1 than to 0. FALSE
7/8 is less than 2/6. FALSE
2/6 is greater than 1
. FALSE
8x+16y = 39 and 40x+8y = 42 are the system of equations that represents in inches the relationship between the length of a blue tile and the length of a white tile.
<u>Step-by-step explanation</u>:
Let 'x' be the inches of a blue tile.
Let 'y' be the inches of a white tile.
8x+16y = 39 -------(1)
40x+8y = 42 -------(2)
Multiply eqn(2) by 2 and subtract it from eqn(1)
8x+16y = 39
(-) <u>80x+16y = 84</u>
<u>-72x = -45 </u>
⇒ x = -45/-72
⇒ x = 5/8
∴ Blue tile is 5/8 inches.
substitute x=5/8 in eqn(1)
⇒ 8(5/8) + 16y = 39
⇒ 16y = 39-5
⇒ y =34/16
⇒ y = 17/8
∴ White tile is 17/8 inches.
Write an equation based on the problem
3.25 is fixed cost, and 1.80 is variable cost, so the equation will be
3.25 + 1.80x = 19.00
x represents the distance she can travel
Solve the equation
3.25 + 1.80x = 19.00
1.80x = 19.00 - 3.25
1.80x = 15.75
x = 15.75/1.80
x = 8.75
She can travel 8.75 miles for the taxi ride
Answer:
Hey there! The answer to your question will be below
Step-by-step explanation:
The answer to your question is -1/2
-1/2x + 1/4
= -1/2
Hope that helps
By:xBrainly
Answer: 400
Step-by-step explanation:
From the question, we see that population proportion (p) = 0.15
Margin of error (m) = 5%
Confidence level = 99%
Level of significance = 100- confidence level = 1%.
The population standard deviation (s) for this data set is
√p(1-p) = √ 0.15 × (1 - 0.15)
√ 0.15 × 0.85 = 0. 1275
Margin of error = critical value × population standard deviation / √n
The critical value (c) for Constructing a 99 % confidence interval for population mean is = 2.58
m = c× √p'(1-p') /√n
We want to make n subject of the formulae, we have that
m = c√p'(1-p') /√n
m×√n = c × √p'(1-p')
√n = c × √p'(1-p') / m
n = c² × {√p'(1-p')}² / m
n = 2.58² × 0.1275/ 0.05²
n = 6.6564 × 0.01625625 / 0.0025
n = 339.47 ~ 400