Answer: -1 and 1
Step-by-step explanation:
i gotchu, no worries!
first, move the constant to the right. then, you calculate that. then change the signs, and simplify the expression. (i can't type out square root signs, so thats why there's no work shown.)
then, evaluate it.
x^2 - 9 = -2^3
next, move the constant to the right.
x^2 - 9 = -8
next, calculate it.
x^2 = -8 + 9
simplify it.
x^2 = 1
finally separate the solutions.
x = 1
x = -1
Answer:
4
Step-by-step explanation:
9514 1404 393
Answer:
y = 12
Step-by-step explanation:
Triangles ABD and CBD are congruent, so DA = DC:
3y +6 = 5y -18
24 = 2y . . . . . . . . add 18-3y; next, divide by 2
12 = y
_____
<em>Additional comment</em>
In some variations of this question, you may be asked to solve for x. Since the angles are equal, you have ...
3x -1 = 34 -2x ⇒ 5x = 35 ⇒ x = 7 . . . (consistent with ∠ABC = 40°)
Answer:
B
Step-by-step explanation:
Answer:
p-value: 0.453
Step-by-step explanation:
Hello!
You have two study variables
X~N(μₓ;σₓ²)
nₓ= 4
X[bar]ₓ= 149.50
Sₓ= 10.66
Y~N(μ;σ²)
= 6
X[bar]= 158.17
S= 19.87
The hypothesis is:
H₀: μₓ = μ
H₁: μₓ ≠ μ
The statistic to use is a pooled t for independent samples with unknown but equal population variances
t= [(X[bar]ₓ - X[bar]) - (μₓ - μ)]/[Sa/√(1/nₓ + 1/)]
The value of the statistic is:
t= -0.789
For this statistic value the corresponding p-value is:
P(t ≤ -0.789) + (1 - P(t ≤ 0.789) = 0.453
I hope it helps!