Answer:
0.336
Step-by-step explanation:
Use binomial probability:
P = nCr p^r q^(n-r)
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1-p).
Here, n = 8, r = 7, p = 0.8, and q = 0.2.
P = ₈C₇ (0.8)⁷ (0.2)⁸⁻⁷
P = 0.336
Answer:
40 students picked bananas
Step-by-step explanation:
3/4 picked apples
1 - 3/4 = 1/4 picked bananas
3/4x = 120
Multiply both sides of the equation by 4/3
4/3 * (3/4x) = 120/1 * (4/3)
x = 480/3
x = 160
Total of 160 students
/ \
120 = apples 160 - 120 = 40 = bananas
40 students picked bananas
Hope this helps :)
Answer:
Step-by-step explanation:
3. 
add exponents
4.
multiply exponents
5.
distribute and multiply exponents
6. 
multiply and then add exponents
7.
distribute and multiply exponents
8.
multiply and then add exponents
Answer:
184 cm²
Step-by-step explanation:
Surface area of the rectangular box is expressed as S = 2(LW+LH+WH)
L is the length of the box = 90 cm
W is the width of the box = 50 cm
H is the height of the box= 90 cm
If there are error of at most 0.2 cm in each measurement, then the total surface area using differential estimate will be expressed as shown;
S = 2{(LdW+WdL) + (LdH+HdL) + (WdH+HdW)
Note that dL = dW = dH = 0.2 cm
Substituting the given values into the formula to estimate the maximum error in calculating the surface area of the box
S = 2{(90(0.2)+50(0.2)) + (90(0.2)+90(0.2)) + (50(0.2)+90(0.2))
S = 2{18+10+18+18+10+18}
S = 2(92)
S = 184 cm²
Hence, the maximum error in calculating the surface area of the box is 184cm²
Answer: B. 77
Sub x =6 into the given expression
4x^2 - 12x + 5
= 4(6)^2 - 12(6) + 5
= 144 - 72 + 5
= 77
