Answer:
x = -9
y = -8
Step-by-step explanation:
here's the solution :-
=》y = 2x + 10
=》y = x + 1
plunging the value of y from equation 1 into equation 2
=》2x + 10 = x + 1
=》2x - x = 1 - 10
=》x = -9
value of x = -9
now, plugging the value of x in equation 2, we get :-
=》y = x + 1
=》y = -9 + 1
=》y = -8
Answer:
The constant of proportionality (k) is 1/5.
Step-by-step explanation:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.
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Answer:
Yes
Step-by-step explanation:
Let p1 represent proportion of women and p2 proportion of men. The null and alternative hypothesis will be as follows
Null hypothesis
=p2-p1 ≤0
Alternative hypothesis
=p2-p1>0
Sample proportion of women, p1=74/200=0.37
Sample proportion of men is p2=104/200=0.52
Level of significance is 0.01
Pooled proportion=
Test statistic
p-value=P(Z≥z)=P(Z≥6.9124)=P(Z≤-6.9124)=0
Since the value of p is less than 0.01, we reject null hypothesis. There’s sufficient evidence that a greater proportion of men is expecting to get a raise
So x is one number and x + 1 is another
1. x + x + 1 = 57;
2. 2x + 1 = 57;
-1 -1
4. 2x = 56
5. x = 56/2
6. x = 28
So, x + 1 = 28 + 1 = 29
So 28 and 29 are the 2 consecutive integers of 57