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Answer:
El valor de x es 4.
Explicación paso a paso:
Se indica que el triángulo MRN surge al doblar un triángulo equilátero por la mitad.
Esto sugiere que el triángulo equilátero original es MNO y que NR actúa como bisectriz perpendicular (una línea que divide un segmento en dos partes iguales formando un ángulo recto).
La longitud del lado del triángulo es
NO = NS + SM = 6 + 2 = 8
Dado que un triángulo equilátero tiene todos sus lados iguales y NR es la bisectriz perpendicular, se tiene que
RM = MO/2 = 8/2 = 4
El valor de x es 4.
1,459.75 - 200.25 - 359.45 - 125.00 - 299.35 = 475.70
475.70 + 375.00 = 850.70
After settling the bills and deposit, her account shows a balance of $850.70
Answer:
At a confidence level of 90%, the margin of error is calculated to be 0.5133 grams.
Step-by-step explanation:
The formula for margin of error (E) is: (critical value × sample standard deviation) ÷ sqrt(n)
The sample standard deviation is 1.5 grams.
A 90% confidence level translates to 0.9.
Significance level is determined as 1 - C, which equals 1 - 0.9 resulting in 0.1 or 10%.
The sample size (n) is 25.
Degrees of freedom are calculated as n - 1, which is 25 - 1 equaling 24.
The critical value (t) for 24 degrees of freedom at a significance level of 10% is found to be 1.711.
Using these values, we calculate: E = (1.711 × 1.5) ÷ sqrt(25) = 2.5665 ÷ 5 = 0.5133 grams.