Let x = 1st positive integer
Let x + 1 = 2nd positive integer
As give, their sum of squares is 841
factor 2 out,
(x+21)(x-20)
This gives, x=20 and =-21 (neglect the negative value)
So, x = 20
x+1 = 21
So, the two numbers are : 20 and 21
Answer:
The probability is
Step-by-step explanation:
we know that
The probability of an event is the ratio of the size of the event space to the size of the sample space.
The size of the sample space is the total number of possible outcomes
The event space is the number of outcomes in the event you are interested in.
so
Let
x------> size of the event space
y-----> size of the sample space
so
In this problem we have
substitute
Answer:
She spent 51 dollars on pants and 22 on t-shirts so she bought 4 shirts
Step-by-step explanation:
Answer:
Using the level of significance to be 0.05.
Now the ratio of oil companies is given by 22/43=0.51
And the ratio of construction companies is 55/93=0.59
Hence we can conclude and accept the claim that proportion of oil companies that employ the method of risk transfer is less than the proportion of construction companies.
Step-by-step explanation:
First we find the ratio of both companies then we conclude from the result
Answer:
a) All dogs have fleas.
X the set of all animals
D(y)=y is a dog
F(y)=y has fleas
∀X ( D(x) → F(x) )
¬∃X ( D(x) ^ F(x) )
b) There exists a horse that can add.
X the set of all animals
H(y)=y is a horse
A(y)=y can add
∃X ( H(x) ^ A(x) )
∀X ( H(x) → ¬A(x) )
c) Every koala can climb.
X the set of all animals
K(y)=y is a koala
C(y)=y can climb
∀X ( K(x) → C(x) )
¬∃X ( K(x) ^ C(x) )
d) No monkey can speak French.
X the set of all animals
M(y)=y is a Monkey
F(y)=y can speak French
∀X ( M(x) → ¬F(x) )
∃X ( M(x) ^ F(x) )
e) There exists a pig that can swim and catch fish.
X the set of all animals
P(y)=y is a pig
S(y)=y can swim
C(y)=y can catch fish
∃X ( P(x) ^ ( S(x) ^ C(x) )
∀X ( P(x) → ( ¬S(x) v ¬C(x) ) )