Answer:
£2.38
Step-by-step explanation:
2.5 cost £1.40
4.25 cost £ x
so x=(4.25*1.40)/2.5=5.95/2.5=£2.38
Answer:
a) 9.56%
b) 0.0019
Step-by-step explanation:
a) Find the z-scores.
z = (x − μ) / σ
z₁ = (-0.0050) / 0.0030
z₁ = -1.67
z₂ = (0.0050) / 0.0030
z₂ = 1.67
Find the probability using a chart or calculator.
P(Z < -1.67 or Z > 1.67) = 2 P(Z < -1.67)
P(Z < -1.67 or Z > 1.67) = 2 (0.0478)
P(Z < -1.67 or Z > 1.67) = 0.0956
b) Use a chart or calculator to find the z-score.
P(Z < -z or Z > z) = 0.01
P(Z < -z) = 0.005
z = 2.576
Find the standard deviation.
z = (x − μ) / σ
2.576 = (0.0050) / σ
σ = 0.0019
|2x - 5| - 2 = 3 |add 2 to both sides
|2x - 5| = 5 ⇔ 2x - 5 = 5 or 2x - 5 = -5 |add 5 to both sides
2x = 10 or 2x = 0 |divide both sides by 2
x = 5 or x = 0
Answer:
53
Step-by-step explanation:
Let x be the number of children tickets sold and y be the number of adult tickets sold. Then
x+y=128.
The cost of x children tickets is $5.10x and the cost of y adult tickets is $9.70y, so
5.10x+9.70y =896.60.
From the first equation,
x=128-y,
then

53 adult tickets were sold.
Answer:
Solution given:
BD=35ft
AC=43ft
AB=8ft
EF=33-8=25ft
AE=26ft
Now
area of right angled triangle ∆AEF
=½(EF*AE)=½(25×25)=312.5ft²
area of parallel trapezoid=½AB(BD+AC)
=½*8(35+43)=312ft²
<u>So</u>
<u>Area</u><u> </u><u>of</u><u> </u><u>polygon</u><u> </u><u>:</u><u> </u><u>3</u><u>1</u><u>2</u><u>.</u><u>5</u><u>+</u><u>3</u><u>1</u><u>2</u><u>=</u><u>6</u><u>2</u><u>4</u><u>.</u><u>5</u><u>f</u><u>t</u><u>²</u><u> </u><u>is</u><u> </u><u>a</u><u> </u><u>required</u><u> </u><u>answer</u><u>.</u>