The total number of children can be calculated using linear equation in one variable. The marbles are shared among 7children.
<u>Solution</u>
Total number of marbles = 47
The number of marbles received by each child = 6
Let the number of children be x
Then according to the question'
Total number of marbles received by all children + 5 = Total number of marbles
6x + 5 = 47
6x = 47- 5
6x = 42
x = 7
now, the number of children is 7.
<h3>What is linear equation in one variable?</h3>
- An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.
- A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C.
- Here, the variables x and y, the coefficients A and B, and the constant C are all present.
- A linear equation's graph will always be a straight line.
- One-variable linear equations are fairly simple to solve. To determine the value of the unknown variable, the variables are divided and placed on one side of the equation, and the constants are combined and placed on the other side.
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Step-by-step explanation:
The plumber's daily earnings have a mean of $145 per day with a standard deviation of
$16.50.
We want to find the probability that the plumber earns between $135 and
$175 on a given day, if the daily earnings follow a normal distribution.
That is we want to find P(135 <X<175).
Let us convert to z-scores using
This means that:
We simplify to get:
From the standard n normal distribution table,
P(z<1.82)=0.9656
P(z<-0.61)=0.2709
To find the area between the two z-scores, we subtract to obtain:
P(-0.61<z<1.82)=0.9656-0.2709=0.6947
This means that:
The correct choice is C.
Answer:
5 feet squared
Step-by-step explanation:
Answer:
3 1/2 Pounds
Step-by-step explanation:
2/3=4/6
4/6+5/6=9/6
30/6-9/6=21/6
Product of 4 and a number translates to 4x because the word product means multiplication.
We then need to subtract one from that which would be 4x - 1.
The word is translates to "equals" so 4x - 1 = 11 is the translation of the whole problem.
Now solve that equation.
4x - 1 = 11
1st add +1 +1
2nd simplify 4x = 12
3rd divide. 4 4
x = 3