Answer:x=1, y=1
Step-by-step explanation:
2(1)-1=1
3(1)1-1=2
Answer:
324 square meters
Step-by-step explanation:
Hey there!
The surface area of a shape is the area of all the surfaces added up
The side surface area is 48 since 16 x 3 is 48. Since there are two side areas, we need to multiply 48 x 2 is 96
Now we need to do this for the other sides
the bottom and top areas are 96 square meters each so we multiply 96 by 2 which is 192
The front and back faces have an area of 18 square meters so we multiply 18 by 2 since there are two faces which are 36
Now we add all the values: 96+192+36 which is 324
So the surface area of the prism is 324 square meters
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
Answer: g(x)= 31x-21-2
Step-by-step explanation:
21-2=19
31x=19
divide that by 31
the answer would be 1.63
The equation you write would be linear, and would be written in slope intercept form y=mx+b. Since Mr. Miller already has $25, we plug that in for "b" in the equation. We plug 10 in for "m", because "x" represents the number of weeks he has been saving. The equation would be y=10x+25. To find how much money Mr. Miller will have in 7 weeks, plug in 7 for x. y=10(7)+25 -> y=70+25 -> y=95 -> $95
