The area of the composite figure = area of square + area of triangle + area of rectangle = 58.5 ft²
<h3>What is the Area of the Composite Figure?</h3>
Area of the composite figure = area of square + area of triangle + area of rectangle = s² + 1/2(bh) + lw
Given the following:
- s = 3 ft
- b = 11 ft
- h = 3 ft
- l = 11 ft
- w = 3 ft
Area of the composite figure = (3²) + 1/2(11)(3) + (11)(3)
Area of the composite figure = 58.5 ft²
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Let P be the population proportion, p be the sample proportion, n be the sample size.
A manufacturer claims that fewer than 6% of its fax machines are defective. It means P=0.06
Sample size n=97 and sample proportion p=0.05
The hypothesis to be tested is
H0: P ≥ 0.06 V/s Ha: P < 0.06
Here the hypothesis for testing population proportion we use z test statistics. Z test statistics is give by
Z = 
Where p =sample proportion = 0.05
p0 = hypothesized proportion value =0.06
Using given values into test statistics we get
Z = 
Z = -0.41
The p-value for left tailed alternative hypothesis is given by
P-value = P(z < z cal)
where zcal = Z test statistics value
Here zcal = -0.41
P-value = P(Z < -0.41)
Using z score table to find probability below z=-0.41
P-value = 0.3409
P-value for testing the given claim is 0.3409
Answer:
2
Step-by-step explanation:
this is a 30-60-90 Δ and the ratio of the sides are 1 :
: 2
1 / 2 =
/ x
cross-multiply: x = 2
Answer:
12; 8
Step-by-step explanation:
length-x
breadth-2/3x
2(x+2/3 x)=40
2×5/3x=40
10/3x=40
x=40÷10/3
x=40×3/10
x=12 (cm) length
2/3×12=8 (cm) breadth
Answer:
x=5/3
Step-by-step explanation: