You can solve this by cross multiplying and dividing. If you set 104/125 = x/100. 104 * 100= 10400 and you divide that by 125 and get 83.2, so the answer is 83.2% of the guests invited showed up.
Answer:
5cm
Step-by-step explanation:
A rectangle is a quadrilateral (4 sided polygon) with 2 opposite sides parallel and equal.
Area of a rectangle = length x breadth
Given that length = (2x - 1) , breadth = ( x + 2), Area = 63cm².
Since area = length x breadth
Area = (2x - 1) x ( x + 2)
(2x - 1)(x + 2) = 63
Expand the bracket
2x (x + 2) -1 ( x + 2) = 63
2x² + 4x - x - 2 = 63
2x² + 3x - 2 = 63
2x² + 3x -2 -63 = 0
2x² + 3x - 65 =0
We'll Solve the quadratic equation, we can solve using factorisation method.
Factor of -130 that is (- 65 x 2) that add up to +3 the coefficient of x
Factors = 13 and -10
Rewrite equation
2x² - 10x + 13x - 65 = 0
Factorise
2x(x - 5) + 13 ( x - 5) = 0
2x + 13 = 0 or x - 5 = 0
2x = -13 or x = 5
Since we can't have a negative length then x = 5cm
I hope this was helpful, Please mark as brainliest
Answer:
$102.33
Step-by-step explanation:
586= 4t + 2(t+7)
586= 4t +2t +14= 6t +14
572= 6t
95.33=t
adult ticket = t +7
Answer:
99% confidence interval for the population average examination score is between a lower limit of 69.2872 and an upper limit of 82.7128.
Step-by-step explanation:
Confidence interval = mean +/- margin of error (E)
mean = 76
variance = 144
sd = sqrt(variance) = sqrt(144) = 12
n = 25
degree of freedom (df) = n - 1 = 25 - 1 = 24
confidence level (C) = 99% = 0.99
significance level = 1 - C = 1 - 0.99 = 0.01 = 1%
t-value corresponding to 24 df and 1% significance level is 2.797
E = t×sd/√n = 2.797×12/√25 = 6.7128
Lower limit = mean - E = 76 - 6.7128 = 69.2872
Upper limit = mean + E = 76 + 6.7128 = 82.7128
99% confidence interval is (69.2872, 82.7128)
Answer:
3 and 5
Step-by-step explanation:
Let the two consecutive odd integers be x and x + 2.
Now,
The given statement is
Taking x=3.
Hence, two consecutive odd integers are 3 and 5.