Answer:
Ethan and Tenaya ate more than half of their pizza.
Sam and Suzy ate less than half of their pizza.
Step-by-step explanation:
We have been given that each of the four friends ordered individual pizzas. They ate some part of the pizzas and we have to find who ate more than half of their pizza? Less than half?
Suzy ate 3/8 of her pizza. It means she ate 0.375 of her pizza which is less than half.
Ethan ate 3/5 of his pizza. It means he ate 0.6 of his pizza which is greater than half.
Tenaya ate 4/6 of her pizza. It means she ate 0.67 of his pizza which is greater than half.
Sam ate 1/3 oh his pizza. It means he ate 0.3 of his pizza which is less than half.
Hence, we can conclude that
Ethan and Tenaya ate more than half of their pizza.
Sam and Suzy ate less than half of their pizza.
Answer:
Option D
Step-by-step explanation:
If these lines are parallel, they should have the same slope. How so? Well slope is the change in axis, y / x more specifically. If the lines are parallel they should change at a similar rate so that they don't intersect, and hence are, by definition, ║;
<em>Hope that helps!</em>
m<ABD = 52 Given
BC bisects <ABD Given
m<ABC = m<CBD Definition of angle bisector.
m<ABC +m<CBD = m<ABD Angle addition postulate.
m<ABC +m<CBD = 52 Substitution
m<ABC + m<ABC= 52 Substitution
2m<ABC = 52 Combining like angles
m<ABC = 26 Division property of equality.
Answer:
Width of the arch = 105 m
Step-by-step explanation:
Function representing the width of the arch,
f(x) = -0.016(x - 52.5)² + 45
where x = width of the base of the arch or horizontal distance from arch's left end
f(x) = vertical distance of the arch
From the given quadratic function, vertex of the parabola is (52.5, 45).
Coordinates of the vertex represents,
Height of the arch = 45 m
Half of the horizontal distance from the left end = 52.5 m
Therefore, width of the bridge = 2(Half the width of the bridge from left end) = 2×52.5
= 105 m
Therefore, given bridge is 105 m wide.
Answer: 0.2551
Step-by-step explanation:
Given : The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the actual temperature of the medium, and standard deviation σ.
Significance level : 
The critical z-value for 95% confidence : 
(1)
Since , 
(where x be any random variable that represents the temperature reading from a thermocouple.)
Then, from (1)
(2)
Also, all readings are within 0.5° of μ,
i.e. 
i.e. 
[From (2)]
i.e. 
i.e. 
The required standard deviation : 
