Answer:
Step-by-step explanation:
hello :
5(x + 7)² = 245
(x + 7)² = 49
x=0 is solution but you have other solution -14 because :(-14+7)² = (-7)² =49
here is an solution Step-by-step :
(x + 7)² = 49 means : (x + 7)² = 7²
(x + 7)² - 7²=0 use identity : a²-b² = (a-b)(a+b)
a=x+7 and b= 7
(x+7-7)(x+7+7) = 0
x(x+14)=0
x=0 or x+14=0
so : x=0 or x= -14
Answer:
Step-by-step explanation:
Given that:
There are 96 automobile accident fatalities in Connecticut and 44 were alcohol related.
The null hypothesis and the alternative hypothesis for this study can be computed as:
The sample proportion = 44/96 = 0.45833
Using the Z formula for a single proportion test, we get;
The p-value = 1 -P(Z< 1.37)
The p-value = 1 - 0.9147
The p-value = 0.0853
At the level of significance (∝) 0.05 ;
Since p-value is greater than level of significance (∝); we accept the null hypothesis and conclude that there is no sufficient evidence to say that higher percentage of alcohol is related to automobile fatalities.
Answer:
500 g = 0.5 kg
Step-by-step explanation:
1 kg = 1000 g
500 g = 0.5 kg
Answer: Predicted level of social skill will be 46
Step-by-step explanation:
For a linear regression; the general equation is in the form;
y = mx + c
Where is the predicted value or variable
m = slope or gradient (regression coefficient )
c = intercept which is constant (this is where the line of best for crosses the y-axis.
y = predicted value
x = independent variable
Given the following:
Regression coefficient (m)= 3
Regression constant (c)= 16
Score(x) = 10 (independent variable)
From:
y = mx + c
y = 3(10) + 16
y = 30 + 16
y = 46
Predicted level of social skill will be 46
The first table, representing <em>f</em>(<em>x</em>), is linear. The data have a constant rate of change or slope:
<em />(between the first two points): <em>m</em> = (<em>y</em>₂ - <em /><em>y</em>₁)/(<em>x</em>₂ - <em>x</em>₁) = (22-18)/(-1--2) = 4/(-1+2) = 4/1 = 4. The rate of change between any two points is the same:
(between the last two points):<em> m</em> = (34-30)/(2-1) = 4/1 = 4.
The second table, representing <em>g</em>(<em>x</em>), is exponential. The data points are multiplied by the same constant between successive points. 2*2 = 4; 4*2= 8; 8*2 = 16, etc.