Answer:
a ) If r ⇒ p
If q ⇒ p
r ∪ q
If r∪p ⇒ ¬ r
∴ s
b) The argument is invalid
Step-by-step explanation:
The argument is invalid because we do not with precision if b), because we do not have enough information about it, and this is because the previous sentences does not mention information about the donkey. We cannot infer something when we do not have enough information.
Answer:
Step-by-step explanation:
This equation looks complicated.We have to make it easier
let's say x^2/3 = t and x^4/3 = t^2
t^2-10t+21=0 [ we can factorize this equation as a (t-3)(t-7) ]
(t-3)(t-7)=0 [ that means , t can be 3 or 7 ]
But don't forget we have to find x not t so,
t=x^2/3=3 ∛ x^2 = 3 x^2 = 9 x=3 or x= -3
t=x^2/3=7 ∛x^2 = 7 x^2 = 343 x ~18.5 or x ~ -18.5
Answer:
3600
Step-by-step explanation:
multiply all of the choices
10x15x6x4
Answer:
9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
What is the probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated?
This is 1 subtracted by the pvalue of Z when X = 16. So
has a pvalue of 0.9082
1 - 0.9082 = 0.0918
9.18% probability the miners find more than 16 ounces of gold in the next 1000 tons of dirt excavated
Solution for 47 is what percent of 61:
47:61*100 =
(47*100):61 =
4700:61 = 77.05
Now we have: 47 is what percent of 61 = 77.05
Question: 47 is what percent of 61?
Percentage solution with steps:
Step 1: We make the assumption that 61 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=61$100%=61.
Step 4: In the same vein, $x\%=47$x%=47.
Step 5: This gives us a pair of simple equations:
$100\%=61(1)$100%=61(1).
$x\%=47(2)$x%=47(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{61}{47}$
100%
x%=
61
47
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{47}{61}$
x%
100%=
47
61
$\Rightarrow x=77.05\%$⇒x=77.05%
Therefore, $47$47 is $77.05\%$77.05% of $61$61.
