Answer:
Step-by-step explanation:
n = 400
Proportion p = 229/400= 0.5725
For 95% confidence interval we use Z value as 1.96
Std error = 0.025
margin of error = 1.96*0.025
Confidence interval 95% = 0.5725±Margin of error
= (0.524, 0.621)
b) When smiled x becomes 277
p = 0.6925
Std error = 0.023
Margin of error= 1.96*0.023
Confidence interval = (0.647, 0.738)
Smiling increases the chances of stopping since mean and conidence interval bounds are showing increasing trend.
You are looking at right angles in the problem. Right angles are 90 degrees.
So set up the problem to solve for X using:
90=4x+12
90-12=4x
78=4x
39/2 or 19.5 = x
The linear equation that models the value of the investment in the year x is y = 574x + 2700
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let y be the value of the investment in the year x, where x = 0 represents 1992
An investment is worth $2700 in 1992 (x = 0). By 1997 (x = 5) it has grown to $5570, hence:
y - 2700 = [(5570 - 2700)/(5 - 0)](x - 0)
y = 574x + 2700
The linear equation that models the value of the investment in the year x is y = 574x + 2700
Find out more on equation at: brainly.com/question/2972832
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Answer:
Se necesitan 37.5 litros del preparado que contiene 5% de jugo natural, y 12.5 litros del que contiene 25%.
Step-by-step explanation:
Primero calculamos la cantidad total de jugo natural que se necesita, a partir del volumen de jugo mixto que se quiere vender:
Ahora, que X sean los litros del preparado con jugo de 5%, y que Y sean los litros del preparado con jugo de 25%:
La suma de ambos preparados tiene que ser 50 L:
1. x + y = 50
La suma del jugo natural tiene que ser 5:
2. x*5/100 + y*25/100 = 5
Por lo que tenemos <em>un sistema de dos ecuaciones y dos incognitas</em>.
Expresamos x en términos de y:
Reemplazamos x en la segunda ecuación:
- (50-y)*5/100 + y*25/100 = 5
Y despejamos <em>y</em>:
Usando ese valor de y, calculamos x:
Answer:
n= 1/9
Step-by-step explanation:
3/n 3/6=3/2
Simplifies to
1/6n = 3/2
Cross-multiply.
1/6n = 3/2 - (1)*(2)=3*6n
2=18n
Flip the equation
18n=2
Divide both sides by 18
18n/18 = 2/18
n=1/9
Hope it's right :)
