Answer: 0.57
Step-by-step explanation:
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Answer:
- Luna is 9
- Camila is 18
- Ava is 24
Step-by-step explanation:
We can express all of the ages in terms of Luna's age. Letting L represent Luna's age, we have ...
- Luna's age: L
- Camila's age: 2L
- Ava's age: 2L +6
The total of their ages is then ...
L +2L +(2L+6) = 51 . . . . an equation with one variable
5L = 45
L = 9
Luna is 9, Camila is 18, and Ava is 24.
The answer shows the next correct step for solving the quadratic equation by taking the square root of both sides is g-4 = ±√2
<h3>Solving by completing the square method</h3>
Quadratic equations are equation that has a leading degree of 2. Given the quadratic equation as shown below:
g²-8g + 16 = 2
Subtract 16 from both sides
g²-8g + 16 -16 = 2 - 16
g²-8g = -14
Complete the square
g²-8g + (-8/2)² = -14 + (-8/2)²
g²-8g + (-4)² = -14 + (-4)²
(g-4)² = -14 + 16
(g-4)² = 2
Take the square root of both sides
√(g-4)² = ±√2
g-4 = ±√2
Hence the answer shows the next correct step for solving the quadratic equation by taking the square root of both sides is g-4 = ±√2
Learn more on completing the square here: brainly.com/question/13981588
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Answer:
x=-3,y =4 z=-1
Step-by-step explanation:
x+2y-5z=10
y+2z=2
z=-1
Since z = -1, substitute into the second equation
y + 2(-1)=2
y -2 =2
y = 2+2
y=4
We can substitute into the first equation
x+2(4) -5(-1) =10
x+8+5=10
x+13 = 10
x = 10-13
x=-3
Answer:
a. μ = $24.57
μ ≠ $24.57
b. 0.12
c. we fail to reject the null hypothesis since p ≈0.12 > 0.05
d. we fail to reject the null hypothesis since z ≈-1.6 > -1.96
Step-by-step explanation:
a)
μ = $24.57
μ ≠ $24.57
b)
To compute p value, we need to calculate z-score of $23.89 per hour. in the distribution assumed under null hypothesis
z-score can be calculated as follows:
where
- X= $23.89
- M is the mean value under null hypothesis ( $24.57)
- s is the sample standard deviation ($2.40)
- N is the sample size (30)
Putting the numbers in the formula we get
≈ −1,5518
The corresponding p-value is <em>two tailed </em>and ≈ 0.12
c)
since p ≈0.12 > 0.05 <em>we fail to reject the null hypothesis.</em>
d)
Critical value for the 0.05 significance level in two tailed test is :
c(z)=-1.96 Since z≈ −1,6 >-1.96, it is not in the critcal region, therefore <em>we fail to reject the null hypothesis. </em>