Answer:
Rounding to the nearest tenth and rounding to the nearest one hundredth.
Step-by-step explanation:
round all up or down then line up and add
12.568= 13
11.426= 11
12.324= 12
11.981= 12
12.601= 13
add the totals then you see
60.83 sames as 61
<span>4.5 g
56.25 g
Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So
150 g * 3% = 150 g * 0.03 = 4.5g
For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution.
First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution:
3/8 * 150 g = 56.35 g
Or calculate it from scratch, like
4.5/X = 8/100
450/X = 8
450 = 8X
56.25 = X
In both cases, the result is that you desire 56.25 grams of 8% solution.</span>
We are given:
p = probability = 0.12<span>
n = total students = 39 </span>
x = left handers = 5<span>
u = mean = p* n = 4.68
σ = standard dev = √ ( n*p*(1-p)) = √ ( 39 * 0.12 * 0.88 ) =
2.03</span>
Calculating for the z score:
z = (x – u) / σ<span>
z = (5 – 4.68) / 2.03</span>
<span>z
= 0.1576 = 0.16
</span>
Using the standard tables for z, the p value is:
p value = 0.5636 = 56.36%
Hence there is a 56.36% chance.
<span> </span>
Answer:
(a) Not mutually exclusive
(b)80%
Step-by-step explanation:
Mutually Exclusive events are events which cannot occur at the same time. An example is walking forward and backward. When events are presented using Venn diagram, if the sets are disjoint, they are mutually exclusive, otherwise they are not.
(a)The given events "burger" and "fries" are not mutually exclusive since their intersection is not empty as can be seen from the attached Venn diagram.
(b) Probability that a randomly selected person from this sample bought a burger OR bought fries.
P(A or B)=
