A=18
Explanation:multiply both sides by 3 to get rid of the fraction so u are left with a=18
Answer:
a² + b² = 68
a3 + b3 = 520
Step-by-step explanation:
Given :
a + b = 10 (1)
ab = 16 (2)
A. Find a² + b²
(a + b)² = a² + 2ab + b² (3)
Substitutite the values of (1) and (2) into (3)
(10)² = a² + 2(16) + b²
100 = a² + 32 + b²
Subtract 32 from both sides
100 - 32 = a² + b²
a² + b² = 68
B. a^3 + b^3
(a + b)^3 = a^3 + b^3 + 3ab(a + b)
(10)^3 = a^3 + b^3 + 3*16(10)
1000 = a^3 + b^3 + 480
a^3 + b^3 = 1000 - 480
a3 + b3 = 520
Answer:
c) -4/5
d) 4/5
Step-by-step explanation:
The given equation is 25x^2 -16 = 0
Adding 16 on both sides, we get
25x^2 = 16
Dividing both sides by 25, we get
x^2 = 16/25
Taking square root on both sides, we get
x = √(16/25)
x = ±4/5
Therefore, x = 4/5 and x = -4/5
Answers: C) and D)
Hope this will helpful to understand the concept.
Thank you.
The correct statement comparing the theoretical and experimental probabilities is given as follows:
.
<h3>What is a probability?</h3>
A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.
The theoretical probability is taken before any experiment. Since the four sections are equal, the theoretical probability is:
T(H) = 1/4.
The experimental probability is taken considering previous experiments. Out of 100 tosses, 28 landed on H, hence:
E(H) = 28/100 = 7/25.
Hence the correct statement is:
.
More can be learned about probabilities at brainly.com/question/14398287
#SPJ1
Answer:
711.11
Step-by-step explanation:
<h3>Method 1 </h3>
If 777 is decreased by 12%. the number would now be (100% - 12%) 88% of what it was originally
0.88 x 777 = 683.76
683.76 is increased by 4%. 683.76 would now be (100 + 4%) 104% of what it originally was
683.76 x 1.04 = 711.11
<h3>Method 2 </h3>
12% x 777 =
0.12 x 777 = 93.24
777 - 93.24 = 683.76
4% x 683.76 = 27.3504
683.76 + 27.3504 = 711.11
