Answer:
Step-by-step explanation:
Hint- First we have to calculate the mean and standard deviation of the sample and then applying formula for confidence interval we can get the values.
Mean of the sample is,
Standard deviation of the sample is,
The confidence interval will be,
Here,
Z for 95% confidence interval is 1.96, and n is sample size which is 24.
Putting the values,
Confidence interval is used to express the degree of uncertainty associated with a sample.
95% confidence interval means that if we used the same sampling method to select different samples and calculate an interval, we would expect the true population parameter to fall within the interval for 95% of the time.
To answer this question, you need to multiply the number inside the bracket first. Then you can move the number to the right side of the equal sign and keep the x on the left side of the equal sign. The step would be like this
2(x – 5) - 6x= -22(2x - 10) - 6x = -222x - 6x = -22 +10-4x= -12x= -12/-4x=3
Hope this helps!!!
Answer: both the left and right sides go to +∞
<u>Step-by-step explanation:</u>
End behavior can be determined by two things:
- Sign of the leading coefficient
- Degree of the function
<u>Sign of leading coefficient</u>:
positive: right side goes to +∞
negative: right side goes to -∞
⇒ Leading coefficient of this function is 3 so the right side goes to +∞
<u>Degree (exponent of leading coefficient)</u>:
even: both the left and right sides point in the SAME direction
odd: the left and right sides point in OPPOSITE directions
⇒ Degree of this function is 4 so the left side will point in the same direction as the right side.
Answer:
65.56°
Step-by-step explanation:
= We solve the above question using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
Opposite = 220 feet = Height of the building
Adjacent = 100 feet = Length of the shadow
Hence,
tan θ = 220/100
tan θ = 2.2
= arctan(2.2)
= 65.55604522°
Approximately = 65.56°
