Mean of the distribution = u = 222
Standard Deviation = s = 16
We have to find the probability that a value lies between 190 and 230.
First we need to convert these data values to z score.

For x = 190,

For x = 230

So, we have to find the percentage of values lying between z score of -2 and 0.5
P( -2 < z < 0.5) = P(0.5) - P(-2)
From standard z table, we can find and use these values.
P(-2 < x < 0.5 ) = 0.6915 - 0.0228 = 0.6687
Thus, there is 0.6887 probability that the data value will lie between 190 and 230 for the given distribution.
Answer:
The "a" value is 2x^2
Step-by-step explanation:
This is because it is the first part of the equation. The parts of the equation are given the values a, b, and c based on their position in the equation.
If this answer is correct, please make me Brainliest!
Answer:
The triangle has one solution. The remaining side c ≈ 4 and remaining angles B = 30°; C = 31°.
Option D is correct.
Step-by-step explanation:
if angle A is obtuse and if a > b then the triangle has one solution
We are given ∠ = 119° which is obtuse and side a= 7 and side b - 4 i.e 7>4 so, the triangle has one solution.
Finding remaining side c and ∠B and ∠C
Using Law of sines to find ∠B
a/sin A = b/sin B
7/sin 119° = 4/sin B
7 * sin B = 4 * sin 119
7*sin B = 4(0.874)
sin B = 3.496/7
B = sin^-1(0.4994)
B = 29.96 = 30°
We know that sum of angles of triangle = 180°
So, 180° = 119° + 30° +∠C
180° = 149° + ∠C
=> ∠C = 180° - 149°
∠C = 31°
Now finding c
b/sin B = c /sin C
4/Sin 30 = c/sin 31
4* sin 31 = c*sin 30
4*0.515 = c* 0.5
=> c = 4*0.515/0.5
c = 4.12 ≈ 4
So, Option D one solution; c ≈ 4; B = 30°; C = 31° is correct.
Answer:
$147.01
Step-by-step explanation:
$58.64 - $32.50 is $26.14
$26.14 + 46.25 is $72.39
$72.39 - ($16.04+$7.50) is $48.85
Lastly, 48.85 + $98.16 = $147.01
Answer:
10.75$
Step-by-step explanation:
$5.00 + $2.75 + $3.00 = $10.75 x5 = $53.75
Ticket Drink Popcorn Multiply it by five,
Results is $53.75
Make sure to brainiest me!
- Jackson