Answer:
P(120< x < 210) = 0.8664
Step-by-step explanation:
given data
time length = 20 year
average mean time μ = 165 min
standard deviation σ = 30 min
randomly selected game between = 120 and 210 minute
solution
so here probability between 120 and 210 will be
P(120< x < 210) = 
P(120< x < 210) = 
P(120< x < 210) = P(-1.5< Z < 1.5)
P(120< x < 210) = P(Z< 1.5) - P(Z< -1.5)
now we will use here this function in excel function
=NORMSDIST(z)
=NORMSDIST(-1.5)
P(120< x < 210) = 0.9332 - 0.0668
P(120< x < 210) = 0.8664
Answer:
-3/4 g =x
Step-by-step explanation:
g=-4x/3
Multiply each side by 3
3g = -4/3 x *3
3g = -4x
Divide each side by -4
3/-4 g = -4x/-4
-3/4 g =x
Answer:
4x^5\sqrt[3]{3x}
Step-by-step explanation:
Given
![\sqrt[3]{16x^7}\left(\sqrt[3]{12x^9}\right)\\\sqrt[3]{4^{2} x^7}\sqrt[3]{4(3)x^9}\\ 4^\frac{2}{3} . x^\frac{7}{3} . 4^\frac{1}{3} . 3^\frac{1}{3} . x^\frac{9}{3}\\ 4^\frac{2+1}{3} . 3^\frac{1}{3}. x^\frac{9+7}{3} \\4^\frac{3}{3} . 3^\frac{1}{3}. x^\frac{16}{3}\\ 4\sqrt[3]{3x^16}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7B16x%5E7%7D%5Cleft%28%5Csqrt%5B3%5D%7B12x%5E9%7D%5Cright%29%5C%5C%5Csqrt%5B3%5D%7B4%5E%7B2%7D%20x%5E7%7D%5Csqrt%5B3%5D%7B4%283%29x%5E9%7D%5C%5C%20%204%5E%5Cfrac%7B2%7D%7B3%7D%20.%20x%5E%5Cfrac%7B7%7D%7B3%7D%20.%204%5E%5Cfrac%7B1%7D%7B3%7D%20.%203%5E%5Cfrac%7B1%7D%7B3%7D%20.%20x%5E%5Cfrac%7B9%7D%7B3%7D%5C%5C%20%204%5E%5Cfrac%7B2%2B1%7D%7B3%7D%20.%20%203%5E%5Cfrac%7B1%7D%7B3%7D.%20x%5E%5Cfrac%7B9%2B7%7D%7B3%7D%20%5C%5C4%5E%5Cfrac%7B3%7D%7B3%7D%20.%203%5E%5Cfrac%7B1%7D%7B3%7D.%20x%5E%5Cfrac%7B16%7D%7B3%7D%5C%5C%204%5Csqrt%5B3%5D%7B3x%5E16%7D)
![4\sqrt[3]{3} . x^\frac{16}{3} \\4\sqrt[3]{3} . x^\frac{15}{3} .x^\frac{1}{3} \\4\sqrt[3]{3} . x^5 .x^\frac{1}{3} \\4x^5\sqrt[3]{3x}](https://tex.z-dn.net/?f=4%5Csqrt%5B3%5D%7B3%7D%20.%20x%5E%5Cfrac%7B16%7D%7B3%7D%20%5C%5C4%5Csqrt%5B3%5D%7B3%7D%20.%20x%5E%5Cfrac%7B15%7D%7B3%7D%20.x%5E%5Cfrac%7B1%7D%7B3%7D%20%5C%5C4%5Csqrt%5B3%5D%7B3%7D%20.%20x%5E5%20.x%5E%5Cfrac%7B1%7D%7B3%7D%20%5C%5C4x%5E5%5Csqrt%5B3%5D%7B3x%7D)
!
Let roses be R and carnations be C
"in a ratio of 2 to 7" means that the ratio of R to C is 2 to 7, meaning you'll have to cross multiply to translate it algebraically
since C = 343 we plug 343 in 
:
ergo, she needs 98 roses
to make sure of the answer:
"ratio of 2 to 7" is technically a fraction => 
and since the ratio of the roses to the carnations is the same as we plug the values R = 98 and C=343:
check with calculator too, hope i helped <33
The correct answer is: [A]: " 3 * 10 ⁻⁷ " .
_____________________
Explanation:
To solve:
Given:
<u> (6 * 10⁻⁴ ) </u> = (6 ÷ 2) * 10⁽⁻⁴ ⁻³⁾ = 3 * 10 ⁻⁷ ; which is:
(2 * 10³ )
→ Answer choice: [A]: " 3 * 10 ⁻⁷ " .
_____________________
