Answer:
-4 = 5
Step-by-step explanation:
9-4=5
1-5=-4
-4:5
Answer: El número es 4.
Step-by-step explanation:
Sea X un número.
Acá tenemos:
"Si un número se multiplica por 7"
Esto se escribe como 7*X
"... El resultado es igual al número aumentado en 24"
Esto lo podemos escribir como:
7*X = X + 24
Ahora debemos resolver esta ecuación para X.
7*X = X + 24
Primero, debemos llevar todos los términos con X al mismo lado de la ecuación, para hacer esto, podemos restar X en ambos lados:
7*X - X = (X + 24) - X
6*X = 24
Ahora debemos dividir ambos lados por 6.
6*X/6 = 24/6
X = 4
El número es 4.
Answer:
To satisfy the hypotheses of the Mean Value Theorem a function must be continuous in the closed interval and differentiable in the open interval.
Step-by-step explanation:
As f(x)=2x3−3x+1 is a polynomial, it is continuous and has continuous derivatives of all orders for all real x, so it certainly satisfies the hypotheses of the theorem.
To find the value of c, calculate the derivative of f(x) and state the equality of the Mean Value Theorem:
dfdx=4x−3
f(b)−f(a)b−a=f'(c)
f(x)x=0=1
f(x)x=2=3
Hence:
3−12=4c−3
and c=1.
Answer:
Step-by-step explanation:
On a normal distribution table with z scores of 0 as the mean and the standard deviations going to the right and to the left, 1.9 on the normal curve where 3 is the mean falls at -.275 on the normal curve where 0 is the mean. I used the normal distribution z table for negative values to get that .39165 lies to the left of -.275, which means that 1 - .39165 of the data lies to the right.
The probability that the value is greater than 1.9 is .60835, or as a percentage, 60.835%.