<h3>:- Solution</h3>
-8x - 9 > -21
Move -9 to right side
-8x > -21 + 9
-8x > -12
x < -12/-8
x < 3/2
the answer to -8x - 9 > -21 is <u>x</u><u> </u><u><</u><u> </u><u>3</u><u>/</u><u>2</u>
<span> (8^ -2)(4^4)(16^ -1)
</span>
<span>a^-x=(1/a^x)
</span>
<span> (4^4)/((8^2)(16))
"NOTE" </span><span>16^1=16
</span>
<span>4^4=256
8^2=64
256/((64)(16))=1/4
</span>
<span>convert 1/4 to a power of two
</span>
<span>(4) is 2
1/4=1/(2^2)
</span>
<span>1^2=1
(1/2)^2=(1/4)
</span>
<span>1/2 to the power of 2 is the answer
It would look like this
1/2²</span>
Answer:
Roasted Steak RS=14.47
Grilled Salmon GS= 25.21
Step-by-step explanation:
It's a 2 equation system as follows
E1-> 17RS+14GS=598.95
E2-> 28RS+7GS=581.64
We assume the system has only one solution and apply the following calculation to create a single equation
E3 -> 2x E2 -E1
That way the only incognit will be RS
(28x2 - 17) RS + (7x2 - 14) GS = 581,64x2- 598,95
39RS= 564,33
We solve for RS and then use E1 to solve for GS and E2 to check the answers
Answer:
a
The 95% confidence interval is 
b
The sample proportion is 
c
The critical value is 
d
The standard error is 
Step-by-step explanation:
From the question we are told that
The sample size is n = 200
The number of defective is k = 18
The null hypothesis is 
The alternative hypothesis is 
Generally the sample proportion is mathematically evaluated as
Given that the confidence level is 95% then the level of significance is mathematically evaluated as
Next we obtain the critical value of 
from the normal distribution table, the value is
Generally the standard of error is mathematically represented as
substituting values
The margin of error is
=> 
=> 
The 95% confidence interval is mathematically represented as
=> 
=>
We are given that the temperature is less than (<) -3 degrees Fahrenheit.
Since the temperature is represented by the variable "t", then t is less than -3.
So, the inequality which best describes the situation is:
t < -3
Checking the choices, we will find that the correct choice is:
<span>C: t < -3</span>
