Answer:
<h2>x = - 1.14 or x = 2.64</h2>
Step-by-step explanation:
2x² - 3x - 6 = 0
Using the quadratic formula

a = 2 , b = - 3 , c = 6
Substituting the values into the above formula
We have




We have the final answer as
<h3>x = - 1.14 or x = 2.64</h3>
Hope this helps you
Answer:
11 cats
Step-by-step explanation:
Given :
Jane's initial = 23
My initial = 2
Jane gives out 5 cats to me ;
Jane's new = 23 - 5 = 18
My new = 2 + 5 = 7
Number of cats Jane has than me :
Jane's new - My new
18 - 7 = 11 cats
Second question is incomplete. We aren't told what to calculate.
Answer:
according to the equation it is 158.330917...
Step-by-step explanation:
put w as 64 and solve for t
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
Set up a ratio. But first convert the height of the puzzle to feet so we are comparing the same unit of measure.
STEP 1
convert 24 inches to feet
12 inches= 1 foot
24 inches= 2 feet
STEP 2
set up ratio.
= 2 feet/556 feet or 2:556
simplify both by 2
= 1 ft/278 ft or 1:278
ANSWER: 1/278 or 1:278 (can be written either way)
Hope this helps! :)