Answer:
25 grams
Step-by-step explanation:
Three half live
1/2 * 1/2 * 1/2 = (1/2)³ = 1/8
There would be 1/8 of the original amount left
185 * 1/8 = 23.125
Rounded
25 grams
Answer:
Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%
Step-by-step explanation:
<u><em>Testing hypothesis about a population proportion when sample size is large.</em></u>
If the sample size is large then the variable
z= p^-p / sqrt [pq/n]
is approximately standard normal.
Formulate the hypotheses as
H0 : p < 30% against the claim Ha: p ≥ 30%
Choose the significance level ∝= 0.05
the critical region is z ≥ 1.645 because the alternative hypothesis is stated on a greater than or equal to basis.
Computing
Z= 748-(2778*0.3)/ √2778*30/100*70/100
z= 748-833.4/√583.38
z= -85.4/24.153
z=-3.5357
Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%
The p- value is 0.0002
We have the points (1, -6) , (2, -12)
Find the slope (m)
m = (y₂-y₁) / (x₂-x₁)
Plug in the values.
m = (-12 + 6) / (2 - 1)
Simplify.
m = -6/1
So, our slope is : m = -6
We are looking for our equation in point-slope form.
Point-slope form : y - y₁ = m(x - x₁)
Simply plug in everything.
Our given points : (1, -6) and (2, -12)
y - (-6) = -6(x - 1)
Simplify.
y + 6 = -6x + 6
Subtract 6 from both sides.
y = -6x + 6 - 6
Simplify.
So, y = -6x
Your answer is C) y = -6x
~Hope I helped!~
Answer:
The exponent is 2.
Step-by-step explanation:
Remember multiplicity rules:
- If a factor has an odd multiplicity (e.g. it is raised to 1, 3, 5...) then it will cross the x-axis.
- If a factor has an even multiplicity (e.g. it is raised to 2, 4, 6...) then it will bounce off the x-axis.
At x=2, we have the factor (x-2).
From the graph, we can see that the graph bounces off at that point.
Hence, the multiplicity of (x-2) must be even.
Therefore, a possible exponent for the factor (x-2) is 2. Any even number will suffice.
Answer with Step-by-step explanation:
The given figure is a cuboid.
We know that surface area(S) of cuboid is given by:
S=2(lb+bh+hl)
Where l is the length, b is the breath and h is the height
Here, l=12 mm
b=6 mm
and h=(7+2) mm=9 mm
Surface Area= 2(12×6+6×9+9×12)
=2(72+54+108)
= 2×234
= 468 mm²
Hence, Correct option is:
C. 468 mm squared