The correct answer is 9.64 square units
Explanation:
The area of a rectangular pool can be calculated simply by multiplying the length by the width. Moreover, this formula A = L × W can also be used to find any of the values if the two other values are known. For example, in this mathematical problem, the length and area are provided. The process to calculate the area is shown below:
A = L × W or A = L × W
12.5 × y (unknown value) = 120. 5 (area)
Move 12.5 to the other side of the equation and divide 120.5 into 12.5 as once you move a value to the other side of an equation the inverse operation should be used (12.5 multiplies y but if it is moved to the other side it needs to divide)
y = 120.5 ÷ 12.5
y = 9.64 square units
The width of the pool is 9.64 units, you can also prove this because 12.5 square units × 9.64 square units = 120.5 square units.
Word sentence: Jack gave 25 markers per person to 5 people, how much markers did he have altogether?
To solve it: Multiply 25*5 is 125.
k=125
25=125/5
Answer:
. .
Step-by-step explanation:
x^2-9x√x-12
solve by using formula (a+b)^2 and open the brackets
Answer:
The calculated χ² = <u> 0.842 </u> does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
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Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: p1= 5/18, p2= 4/18, p3= 9/18
against the claim
Ha: p1≠ 5, p2≠ 4, p3≠ 9
2) the significance level alpha is set at 0.05
3) the test statistic under H0 is
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
which has an approximate chi square distribution with 2 d.f
4) Computations:
Observed Expected χ²= ∑ (O - E)²/ E
5 5.4 0.0296
4 5.4 0.3629
<u>9 7.2 0.45 </u>
<u>∑ 0.842 </u>
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5) The critical region is χ² ≥ χ² (0.05)2 = 5.99
6) Conclusion:
The calculated χ² = <u> 0.842 </u> does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
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