Answer:
a ║ c
b ║ f
Step-by-step explanation:
when parallel lines are cut by a transversal line, the supplementary angles are angles whose angle measure adds up to 180°
so answers are:
a ║ c
b ║ f
To answer the problem above, I assumed the object to be a rectangular prisms. To solve for the volume of such figures, multiply all three dimensions. This is mathematically expressed as,
V = H x D x L
V = (1.5 ft) x (4 ft) x (2 ft) = 12 ft^3
The volume of the object is 12 ft^3. Thus, the answer is letter A.
Answer:
the answer is 7x + 437
Step-by-step explanation:
1) 7 is the only number with a variable, <em>x</em>, so it will remain as it is.
2) -4+4= 0
3)1+1= 2
4) 2+435= 437
7) combine 7x and 437 together. 7x + 437.
We cant go any further, because 7x and 437 are not liketerms.
Answer:
The 95% confidence interval for the population mean span of boys from participating schools in Canada is between 154.3 cm and 160.3 cm.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 100 - 1 = 99
95% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 99 degrees of freedom(y-axis) and a confidence level of
. So we have T = 1.9842
The margin of error is:

In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 157.3 - 3 = 154.3 cm
The upper end of the interval is the sample mean added to M. So it is 157.3 + 3 = 160.3 cm.
The 95% confidence interval for the population mean span of boys from participating schools in Canada is between 154.3 cm and 160.3 cm.
Answer:
A
Step-by-step explanation:
This is exponential decay; the height of the ball is decreasing exponentially with each successive drop. It's not going down at a steady rate. If it was, this would be linear. But gravity doesn't work on things that way. If the ball was thrown up into the air, it would be parabolic; if the ball is dropped, the bounces are exponentially dropping in height. The form of this equation is
, or in our case:
, where
a is the initial height of the ball and
b is the decimal amount the bounce decreases each time. For us:
a = 1.5 and
b = .74
Filling in,

If ww want the height of the 6th bounce, n = 6. Filling that into the equation we already wrote for our model:
which of course simplifies to
which simplifies to

So the height of the ball is that product.
A(6) = .33 cm
A is your answer