Answer:
t
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
Simplifying
-1(7 + -4x) = 9
(7 * -1 + -4x * -1) = 9
(-7 + 4x) = 9
Solving
-7 + 4x = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 4x = 9 + 7
Combine like terms: -7 + 7 = 0
0 + 4x = 9 + 7
4x = 9 + 7
Combine like terms: 9 + 7 = 16
4x = 16
Divide each side by '4'.
x = 4
Answer:
A. 312 cm²
Step-by-step explanation:
The figure compromises of a rectangle and 2 equal triangles.
Area of the figure = area of the rectangle + area of the two triangles
Area = L*W + 2(½*b*h)
Where,
L = 16 cm
W = 12 cm
b = 12 cm
h = 10 cm
Plug in the values
Area = 16*12 + 2(½*12*10)
= 192 + 120
= 312 cm²
Answer: 0.8238
Step-by-step explanation:
Given : Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with 
and 
.
Let x denotes the scores on a certain intelligence test for children between ages 13 and 15 years.
Then, the proportion of children aged 13 to 15 years old have scores on this test above 92 will be :-
![P(x>92)=1-P(x\leq92)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{92-106}{15})\\\\=1-P(z\leq })\\\\=1-P(z\leq-0.93)=1-(1-P(z\leq0.93))\ \ [\because\ P(Z\leq -z)=1-P(Z\leq z)]\\\\=P(z\leq0.93)=0.8238\ \ [\text{By using z-value table.}]](https://tex.z-dn.net/?f=P%28x%3E92%29%3D1-P%28x%5Cleq92%29%5C%5C%5C%5C%3D1-P%28%5Cdfrac%7Bx-%5Cmu%7D%7B%5Csigma%7D%5Cleq%5Cdfrac%7B92-106%7D%7B15%7D%29%5C%5C%5C%5C%3D1-P%28z%5Cleq%20%7D%29%5C%5C%5C%5C%3D1-P%28z%5Cleq-0.93%29%3D1-%281-P%28z%5Cleq0.93%29%29%5C%20%5C%20%5B%5Cbecause%5C%20P%28Z%5Cleq%20-z%29%3D1-P%28Z%5Cleq%20z%29%5D%5C%5C%5C%5C%3DP%28z%5Cleq0.93%29%3D0.8238%5C%20%5C%20%5B%5Ctext%7BBy%20using%20z-value%20table.%7D%5D)
Hence, the proportion of children aged 13 to 15 years old have scores on this test above 92 = 0.8238
