Answer:
we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7 psi
Step-by-step explanation:
Let's first define the hypothesis;
Null hypothesis: H0: μ = 4.7
Alternative hypothesis: Ha: μ ≠ 4.7
We have;
Sample size; n = 110
Sample mean; x¯ = 4.6
Variance: σ² = 0.64
Standard deviation; σ = √0.64 = 0.8
Formula for test statistic is;
z = (x¯ - μ)/(σ/√n)
z = (4.6 - 4.7)/(0.8/√110)
z = -0.1/0.0763
z = -1.31
From online p-value from z-score calculator attached, using; z = -1.31, two tailed hypothesis, significance value of 0.1, we have;
P-value = 0.190196
The p-value is greater than the significance value and thus we will fail to reject the null hypothesis and conclude that the mean pressure is not different from 4.7
σ μ
Answer:
The correct option is 1.
Step-by-step explanation:
The given function is

It is an absolute function. The transformation of function is defined as

Where, a is horizontal shift and b is vertical shift.
If a>0, then graph shifts a units left, if a<0, then graph shifts a units right.
If b>0, then graph shifts b units up, if b<0, then graph shifts b units down.
If is given that the graph translate 2 units left. Therefore the value of a is 2 and the value of b is 0.
The required function is


Therefore the correct option is 1.
Answer:
25
Step-by-step explanation:
Answer:
Step-by-step explanation:
<u>We have the following points:</u>
- B- position of baby bird
- M- position of momma bird
- G- base of the tree
<u>Given:</u>
- GM = 18 feet
- BG = x
- m∠BMG = 54°
<u>Find the value of x:</u>
- x / GM = tan ∠BMG
- x / 18 = tan 54°
- x = 18 tan 54°
- x = 24.77 ≈ 25 ft
Correct choice is B
-1 / 7 = x
You need to combine the 2x and 5x then devise the 7x from -1