<span>12x - 1 = 29
Add 1 to both sides of the equals sign
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<span>12x - 1 + 1 = 29 + 1
12x = 30
Now, divide both sides of the equal sign by 12 to isolate the x.
12x / 12 = 30 / 12
x = 2.5
Therefore, the solution is x = 2.5.
Hope this helps!!
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Multiple: 4 * 1
/2 = 4 · 1 = 4
/2 = 2 · 2
1 · 2 1 · 2 = 2
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(4, 2) = 2
Multiple: 7 * 2 = 14
Multiple: 5 * 1
/3 = 5 · 1
1 · 3 = 5
/3
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(5, 3) = 1
Multiple: 3 * 5
/3 = 3 · 5
1 · 3 = 15
/3 = 5 · 3
1 · 3 = 5
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(15, 3) = 3
Add: 14 + 5 = 19
Multiple: -3 * 1
/2 = -3 · 1
1 · 2 = -3
/2
= -1.5 · 2
1 · 2
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-3, 2) = 2
Multiple: 1/2 * (-3
/2
) = 2 · (-3)
1 · 2 = -6
/2 = -3 · 2
1 · 2 = -3
Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(-6, 2) = 2
Add: 19 + (-3) = 16
7(4×1/2) + 3(5×1/3) + 2(-3×1/2) = 16
/1 = 16
Answer:
The margin of error for the confidence interval for the population mean with a 98% confidence level is 2.88 miles per hour.
Step-by-step explanation:
We have that to find our 
level, that is the subtraction of 1 by the confidence interval divided by 2. So:
Now, we have to find z in the Ztable as such z has a pvalue of 
.
So it is z with a pvalue of 
, so 
Now, find the margin of error M as such
In which 
is the standard deviation of the population and n is the size of the sample.
Find the margin of error for the confidence interval for the population mean with a 98% confidence level.
The margin of error for the confidence interval for the population mean with a 98% confidence level is 2.88 miles per hour.
Answer:
The answer to the question is;
Yes, it is very significant as the number of of observed vaccinated children is below the number of actually vaccinated children by 78.
Step-by-step explanation:
The result of the survey of more than 13,000 children indicate that only 89.4 % had actually been and the P-value indicate that the chance of having a sample proportion of 89.4 % vaccinated is 1.1 %.
P is low at 0.011 for which however the proportion of those vaccinated is between 0.889 and 0.899 using a 95% confidence interval, whereby the decrease from 90 % believed to 89.9 % is small, albeit it depends on the size of the population.
At 89.4 %, in a sample of 13,000, the number of children expected to have been vaccinated but were missed is equal to 90 - 89.4 = 0.6 % = 0.006
Therefore the children missed = 78 children which is significant.
Answer:
2/15 pound of dog food
Step-by-step explanation:
John has 4/5 of a pound of dog food left to share equally among 6 dogs in his pet shop. How many pounds of food can he give to each dog?
From the above question, we can deduce that:
6 dogs = 4/5 pound of dog food
1 dog = x pound of dog food
Cross Multiply
6 dogs × x pound = 1 dog × 4/5 pound of dog food
x pound = 1 dog × 4/5 pound of dog food/6 dogs
x pounds = 4/5 ÷ 6
x pounds= 4/5 × 1/6
x pounds = 4/30
x pounds = 2/15 pound of dog food
Therefore,if the dog food is shared equally, he can give each dog 2/15 pound of dog food.
