Answer: x can equal -3.2 or -7.4.
Step-by-step explanation:
The correct expression is:
2|x+5.3|=4.2
So, we have an absolute value equation, where it can be positive or negative:
2 (x+5.3)=4.2
2x+10.6 =4.2
2x=4.2-10.6
2x = -6.4
x= -6.4/2
x = -3.2
2[-(x+5.3)]=4.2
-2x-10.6 =4.2
-2x= 4.2+10.6
-2x= 14.8
x= 14.8/-2
x= -7.4
x can equal -3.2 or -7.4.
Feel free to ask for more if needed or if you did not understand something.
Answer:
a) X[bar]₁= 1839.20 cal
b) X[bar]₂= 1779.07 cal
c) S₁= 386.35 cal
Step-by-step explanation:
Hello!
You have two independent samples,
Sample 1: n₁= 15 children that did not eat fast food.
Sample 2: n₂= 15 children that ate fast food.
The study variables are:
X₁: Calorie consumption of a kid that does not eat fast food in one day.
X₂: Calorie consumprion of a kid that eats fast food in one day.
a)
The point estimate of the population mean is the sample mean
X[bar]₁= (∑X₁/n₁) = (27588/15)= 1839.20 cal
b)
X[bar]₂= (∑X₂/n₂)= (26686/15)= 1779.07 cal
c)
To calculate the sample standard deiation, you have to calculate the sample variance first:
S₁²= 
[∑X₁² - (( ∑X₁)²/n₁)]= 
= 149263.4571 cal²
S₁= 386.35 cal
I hope it helps!
1-(-4)^2
1-(-4 times -4)
1-(16)
1-16
-15
Answer:
The y-intercept is at y = 10.
Step-by-step explanation:
It will be between y = 14 and y = 7 because the corresponding x values are -2 and 1.
An increase of 3 units of x gives a decrease of 6 units of y fro the above values.
Then an increase of 1 ( 1 to 2) in x gives decrease in y of 2 (8 to 6). The other values show the same pattern.
So very unit increase in x, the y values change by -2.
So from x = -2 to 0 is +2 units for x and this will be -4 units for y so the y-intercept ( when x = 0) will be at y = 14-4 = 10
y-intercept is (0,10).
