Answer:
D) 0.211
Step-by-step explanation:
The probability of getting a correct answer is 1/4, so the probability of an incorrect answer is 3/4.
The probability of 2 correct and 2 incorrect is (1/4)(1/4)(3/4)(3/4) = 9/256.
There are C(4,2) = 4·3/(2·1) = 6 ways to have some combination of 2 correct and 2 incorrect out of 4 questions. So, the probability of that result is ...
... 6 · 9/256 = 27/128 =0.2109375 ≈ 0.211
The correct answer is: [B]: "40 yd² " .
_____________________________________________________
First, find the area of the triangle:
The formula of the area of a triangle, "A":
A = (1/2) * b * h ;
in which: " A = area (in units 'squared') ; in our case, " yd² " ;
" b = base length" = 6 yd.
" h = perpendicular height" = "(4 yd + 4 yd)" = 8 yd.
___________________________________________________
→ A = (1/2) * b * h = (1/2) * (6 yd) * (8 yd) = (1/2) * (6) * (8) * (yd²) ;
= " 24 yd² " .
___________________________________________________
Now, find the area, "A", of the square:
The formula for the area, "A" of a square:
A = s² ;
in which: "A = area (in "units squared") ; in our case, " yd² " ;
"s = side length (since a 'square' has all FOUR (4) equal side lengths);
A = s² = (4 yd)² = 4² * yd² = "16 yd² "
_________________________________________________
Now, we add the areas of BOTH the triangle AND the square:
_________________________________________________
→ " 24 yd² + 16 yd² " ;
to get: " 40 yd² " ; which is: Answer choice: [B]: " 40 yd² " .
_________________________________________________
Answer:
84.134%
Step-by-step explanation:
We solve this question using the z score formula.
The formula for calculating a z-score is z = (x-μ)/σ
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
We are were asked in the question that:
Suppose that adult women in China have heights that are normally distributed with a
mean = 155 centimeters
standard deviation = 8 centimeters. Of the Chinese women, what percent are shorter than 163cm?
Using the z score formula
z = (x-μ)/σ
z = (163 - 155)/8
z = 8/8
z = 1
Determining the Probability value from Z-Table:
P(x ≤ 163) = P(x < 163)
= 0.84134
Converting to percentage
= 0.84134 × 100%
= 84.134%
The percent of Chinese women that are shorter than 163cm is 84.134%
Answer:
First blanks: 36 and 36
Second blanks: -7 or 7
Step-by-step explanation:
Simplify (x+6)^2 and you get x^2+12x+36. 36 is what’s missing in that blank, and it needs to be added to both sides. Next, the second set of blanks is what you get when you take the square root of both sides of the equation. Sqrt((x+6)^2)=x+6. Sqrt(49)= -7 or 7. So you have to put 7 and -7 in the second set of blanks.
Yes because it goes up and back down
