Answer:
12 years and 16 years
Step-by-step explanation:
their ages are in the ratio 3 : 4
let Anjali = 3x and Aditya = 4x ← present ages
In 8 years then
Anjali = 3x + 8 and Aditya = 4x + 8, hence
3x + 8 + 4x + 8 = 44 ← sum of their ages in 8 years
7x + 16 = 44 ( subtract 16 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
Anjali is 3x = 3 × 4 = 12 years old and Aditya = 4x = 4 × 4 = 16 years old
Answer: B. A coordinate plane with points in quadrants II and IV.
Step-by-step explanation:
Let's take the point (-1,1) as an example
The point itself is in the second quadrant
the opposite of the point is (1,-1)
This point is in the fourth quadrant
Answer:
Step-by-step explanation:
We have been given an expression 
. We are asked to find equivalent expression to our given expression.
Using distributive property 
, we will get:
Therefore, the expression is equivalent to our given expression.
Answer:
81.82%
Step-by-step explanation:
Step 1: We make the assumption that 33 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=33$100%=33.
Step 4: In the same vein, $x\%=27$x%=27.
Step 5: This gives us a pair of simple equations:
$100\%=33(1)$100%=33(1).
$x\%=27(2)$x%=27(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{33}{27}$100%x%=3327
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{27}{33}$x%100%=2733
$\Rightarrow x=81.82\%$⇒x=81.82%
Therefore, $27$27 is $81.82\%$81.82% of $33$33.
Answer:
86.64%
Step-by-step explanation:
Mean (μ) = 220
σ= 16
n= 4
mean score(X) = 220 -12
= 208
Using central limit theorem which says that for a sample of size (n), the standard error is
standard deviation /√n
= 16/√4
= 16/2
= 8
Standard error = 8
Using Z score
Z = (μ - x) / standard error
Z= (220 -208)/8
Z= 12/8
Z= 1.5
From the table, Z = 1.5 = 0.4332
Since the normal distribution curve is symmetrical, we have
0.4332*2
= 0.8664
Percentage = 0.8664*100
= 86.64%
