Answer:
The length is 30 cubic yards.
Step-by-step explanation:
To find volume you use equation V=LxWxH
Since we already know the height, width, and volume we can input them into the equation.
18,720=L x 24 x 26
As you can see, the length is still unknown.
To figure it out though, you can multiply the height and width of the prism,
24 x 26 = 624
And then divide the volume, 18,720 by it.
18,720/624 = 30
Thus, your length is 30 cubic yards.
Answer:
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = 0.0217
Step-by-step explanation:
<u><em>Step(i):</em></u>-
Mean of the Population (μ) = 281
Standard deviation of the Population = 34.4
Let 'X' be a random variable in Normal distribution
Given X = 290
<u><em>Step(ii):-</em></u>
<em> The probability that the mean test score is greater than 290</em>
P(X⁻ > 290 ) = P( Z > 2.027)
= 0.5 - A ( 2.027)
= 0.5 - 0.4783
= 0.0217
The probability that the mean test score is greater than 290
P(X⁻ > 290 ) = 0.0217
Let's call dimes x and the quarters x+3 since we have 3 more of them.
x+x+3=45
2x=42
x=21
we have 21 dimes and 23 quarters
21*0.10=2.1
23*0,25=5.98
if we add those together it equals 8.08
Answer:
The sine and cosine functions have several distinct characteristics: They are periodic functions with a period of 2π. ... The graph of y = sin x is symmetric about the origin, because it is an odd function. The graph of y = cos x is symmetric about the y-axis, because it is an even function.
Pls, branliest! :)
The answer is -60=60
Simplifying
s2 + -17s + -60 = (s + -5)(s + -12)
Reorder the terms:
-60 + -17s + s2 = (s + -5)(s + -12)
Reorder the terms:
-60 + -17s + s2 = (-5 + s)(s + -12)
Reorder the terms:
-60 + -17s + s2 = (-5 + s)(-12 + s)
Multiply (-5 + s) * (-12 + s)
-60 + -17s + s2 = (-5(-12 + s) + s(-12 + s))
-60 + -17s + s2 = ((-12 * -5 + s * -5) + s(-12 + s))
-60 + -17s + s2 = ((60 + -5s) + s(-12 + s))
-60 + -17s + s2 = (60 + -5s + (-12 * s + s * s))
-60 + -17s + s2 = (60 + -5s + (-12s + s2))
Combine like terms: -5s + -12s = -17s
-60 + -17s + s2 = (60 + -17s + s2)
Add '17s' to each side of the equation.
-60 + -17s + 17s + s2 = 60 + -17s + 17s + s2
Combine like terms: -17s + 17s = 0
-60 + 0 + s2 = 60 + -17s + 17s + s2
-60 + s2 = 60 + -17s + 17s + s2
Combine like terms: -17s + 17s = 0
-60 + s2 = 60 + 0 + s2
-60 + s2 = 60 + s2
Add '-1s2' to each side of the equation.
-60 + s2 + -1s2 = 60 + s2 + -1s2
Combine like terms: s2 + -1s2 = 0
-60 + 0 = 60 + s2 + -1s2
-60 = 60 + s2 + -1s2
Combine like terms: s2 + -1s2 = 0
-60 = 60 + 0
-60 = 60
Solving
-60 = 60
