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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Answer:
The margin of error M.O.E = 2.5%
Step-by-step explanation:
Given that;
The sample size = 1500
The sample proportion
= 0.60
Confidencce interval = 0.95
The level of significance ∝ = 1 - C.I
= 1 - 0.95
= 0.05
The critical value:
(From the z tables)
The margin of error is calculated by using the formula:
![M.O.E = Z_{\alpha/2} \times \sqrt{\dfrac{\hat p(1 -\hat p)}{n}}](https://tex.z-dn.net/?f=M.O.E%20%3D%20Z_%7B%5Calpha%2F2%7D%20%5Ctimes%20%5Csqrt%7B%5Cdfrac%7B%5Chat%20p%281%20-%5Chat%20p%29%7D%7Bn%7D%7D)
![M.O.E = 1.96 \times \sqrt{\dfrac{\hat 0.60(1 -0.60)}{1500}}](https://tex.z-dn.net/?f=M.O.E%20%3D%201.96%20%5Ctimes%20%5Csqrt%7B%5Cdfrac%7B%5Chat%200.60%281%20-0.60%29%7D%7B1500%7D%7D)
![M.O.E = 1.96 \times \sqrt{\dfrac{0.24}{1500}}](https://tex.z-dn.net/?f=M.O.E%20%3D%201.96%20%5Ctimes%20%5Csqrt%7B%5Cdfrac%7B0.24%7D%7B1500%7D%7D)
![M.O.E = 1.96 \times \sqrt{1.6 \times 10^{-4}}](https://tex.z-dn.net/?f=M.O.E%20%3D%201.96%20%5Ctimes%20%5Csqrt%7B1.6%20%5Ctimes%2010%5E%7B-4%7D%7D)
M.O.E = 0.02479
M.O.E ≅ 0.025
The margin of error M.O.E = 2.5%
Mary has to buy 5 apple. each apple is 25 cents. how much money does mary have to spend?
Answer:
£191.36
Step-by-step explanation:
Sum the parts of the ratio, 1 + 4 = 5 parts
Divide 320 by 5 to find the value of one part of the ratio.
320 ÷ 5 = 64 ← value of 1 part of the ratio , thus
4 parts = 4 × 64 = 256
Thus he bought 64 first class and 256 second class.
Cost = (64 × £0.67) + (256 × £0.58)
= £42.88 + 148.48
= £191.36
Answer:
The side of square A is 30 cm.
Step-by-step explanation:
Given that,
The dimensions of square A are three times the dimensions of square B.
The area of square A is 900 sq cm.
Side of square A = 3( side of square B)
Let the side of square B is b. So,
Side of square A, a = 3b
We know that, the area of square is side². So,
![(3b)^2=900\\\\9b^2=900\\\\b^2=100\\\\b=10\ cm](https://tex.z-dn.net/?f=%283b%29%5E2%3D900%5C%5C%5C%5C9b%5E2%3D900%5C%5C%5C%5Cb%5E2%3D100%5C%5C%5C%5Cb%3D10%5C%20cm)
Side of square A, a = 3(10) = 30 cm
Hence, the side of square A is 30 cm.