Answer:
5 months
Step-by-step explanation:
Jason's original weight = 120 pounds
Let the no. of months be m
If he gains 10 pounds in each moth , then his weight in m months will be = 10m
His total weight will be= 120+10m -----(1)
Gerardo's original weight = 150 pounds
If he gains 4 pounds in each month , then his weight in m months will me =4m
His total weight will be = 150+4m-----(2)
<u>Equating (1) ans(2)</u>
120+10m=150+4m
=>10m-4m=150-120
=>6m=30
=>m=
<u>=>m=5</u>
It will take 5 months for Jason to weigh the same as Gerardo
Answer:
The answer to your question is See the attachment
Step-by-step explanation:
Equation
(x - 8)² + (y + 5)² = 4
Process
1.- Write the standard equation of the circle
(x - h)² + (y - k)² = r²
2.- Find the center
The center are the letters h and k
h = 8 k = -5
3.- Find the radius
r = 2
4.- Graph the circle ( i will use geogebra)
See below
Answer: x=100
Step-by-step explanation:
In parallelograms the opposite angles are equal. As the bottom left angle is 80° the opposite angle (top right), is also 80°. All 4 angles in a quadrilateral must add up to 360. Because you know 2 angles added together are 160° the other two angles must equal 200°. As opposite angles are equal you know 2x=200, divide by 2 x=100
Step-by-step explanation:
x²+4x=8
rearrange
x² + 4x - 8 = 0
half of 4 is 2
so
x² + 4x + 2² - 2² - 8 = 0
do x² + 4x + 2²
multiplies to give 4 adds to give 4
2+ 2
(x + 2)²
(x + 2)² - 2² - 8
(x + 2)² - 4 - 8
(x + 2)² - 12
(x + 2 + √12) (x + 2 - √12)
√12 = √4 * √3 = 2 √3
(x + 2 + 2√3) (x + 2 - 2√3)
Respuesta:
(2945.411; 3054.589)
Explicación paso a paso:
Dado ;
Tamaño de la muestra, n = 50
Media, xbar = 3000
Desviación estándar, s = 200
Nivel de confianza, Zcrítico al 95% = 1,96
El intervalo de confianza se define como:
Xbar ± margen de error
Margen de error = Zcrítico * s / sqrt (n)
Margen de error = 1,96 * 200 / sqrt (50)
Margen de error = 54.589
Límite inferior = (3000 - 54.589) = 2945.411
Límite superior = (3000 + 54.589) = 3054.589
(2945.411; 3054.589)
