Answer: The 95% confidence interval is approximately (55.57, 58.43)
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Explanation:
At 95% confidence, the z critical value is about z = 1.960 which you find using a table or a calculator.
The sample size is n = 17
The sample mean is xbar = 57
The population standard deviation is sigma = 3
The lower bound of the confidence interval is
L = xbar - z*sigma/sqrt(n)
L = 57 - 1.960*3/sqrt(17)
L = 55.5738905247863
L = 55.57
The upper bound is
U = xbar + z*sigma/sqrt(n)
U = 57 + 1.960*3/sqrt(17)
U = 58.4261094752137
U = 58.43
Therefore the confidence interval (L, U) turns into (55.57, 58.43) which is approximate.
Answer:
h = √91 cm
Step-by-step explanation:
Apply pythagorean theorem, a² + b² ° c².
Where,
a = ½(6) = 3 cm
b = h
c = 10 cm
Plug in the values
3² + h² = 10²
9 + h² = 100
9 + h² - 9 = 100 - 9
h² = 91
h = √91 cm
Answer:
Tell whether the following equations represent a linear function.
<em><u>10x + 2y = 4--linear </u></em><em><u>equation✓</u></em>
−x² + 3y = 19--quadratic equation
<em><u>6x + 1/2y = 3--linear </u></em><em><u>equation✓</u></em>
Answer:
x=59 y= 81 z= 99
Step-by-step explanation:
z=
180-(57+24)=99
y=180-99=81
x= 40+81=121
180-121=59
If you simplify 2xy+8x-8x-32 you get 2xy-32
