Let q be the number of 25 cent coins.
Let d be the number of 10 cent coins.
0.25q+0.10d= 3.95...(1)
q-d=6...(2)
(2)-> q-d= 6
q-d+d= 6+d
q= 6+d...(2a)
(2a)-> (1) 0.25q+0.10d=3.95
0.25(6+d)=0.10d= 3.95
1.95+0.25d+0.10d= 3.95
0.35d= 3.95-1.5
0.35d/0.35= 2.45/0.35
d= 7...(3)
(3)->(2) q-d= 6
q-7= 6
q=6+7
q= 13
There are 13 quarters and 7 dimes.
Answer:
Option A) reject null hypothesis if z is greater than 1.645
Step-by-step explanation:
We are given the following in the question:
Sample size, n = 250
p = 30% = 0.3
Alpha, α = 0.05
Number of women belonging to union , x = 75
First, we design the null and the alternate hypothesis
This is a one-tailed(right) test.
Rejection Region:
So, the rejection region will be
That is we will reject the null hypothesis if the calculated z-statistic is greater than 1.645
Option A) reject null hypothesis if z is greater than 1.645
The right step followed in the system to get he equations is (D). To get the system B. The second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution of system A.
<h3>Meaning of Simultaneous Equation.</h3>
A simultaneous equation can be defined as an equation that possesses two unknowns and one constant.
The solution to the problem can only be gotten by solving it side by side with another equation of the same format.
In conclusion, The right step followed in the system to get he equations is (D). To get the system B. The second equation in system A was replaced by the sum of that equation and the first equation multiplied by 6. The solution to system B will be the same as the solution of system A.
Learn more about simultaneous equation: brainly.com/question/148035
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Answer:
121.5
Step-by-step explanation: so what u are supost to do is multiply the sides which will give you your answer of 121.5.
Answer:
g = 12.7 cm
Step-by-step explanation:
Here, we want to find the length of the side g
To do this, we shall employ the use of the cosine rule
Mathematically, by using the general form of the rule, we have it that ;
g^2 = e^2 + f^2 -2efCosG
So we have;
g^2 = (9.8)^2 + (3)^2 - 2(9.8)(3) cos 167
g^2 = 162.33
g = √162.33
g = 12.7
