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3 years ago

State whether the following statements are true or false, and explain your reasoning.

Mathematics

2 answers:

aivan3 [116]3 years ago

8 0

Answer:

Step-by-step explanation:

shbhebvhbhv

Masja [62]3 years ago

6 0

Answer:

Step-by-step explanation:

a) A square is a rectangle. True

Reason: Property of Rectangle: (i) Opposite sides are equal and parallel. (ii) Each angle is 90 (iii) Diagonals are equal and bisect each other.

A square hold all these properties. A square is a rectangle.

b) A polygon with 21 sides has 432 possible diagonals. False

Reason: Number of diagonals of a polygon = $\frac{n(n-3)}{2}$

n --> number of sides of a polygon.

= $\frac{21*18}{2}$ = 189 diagonals

c) All three angles in an Isosceles triangle are equal. False

Reason: In an isosceles triangle, two angles are equal.

If three angles are equal, then that is an equilateral triangle.

d) The measures of the exterior angles of a nonagon, a nine-sided figure, have a sum of 360°. True.

Reason: The sum of measures of the exterior angles of any polygon is 360

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Answer:

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Step-by-step explanation:

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According to a flight statistics website, in 2009, a certain airline had the highest percentage of on-time flights in the air

sp2606 [1]

Answer:

a) 0.0139; b) 0.1809; c) 0.4278

Step-by-step explanation:

We use a normal approximation to a binomial distribution for these problems.

The sample size, n, for each is 30; p, the probability of success, is 0.808. This makes the mean, μ = np = 30(0.808) = 24.24. The standard deviation,

σ = √(npq) = √(30(0.808)(1-0.808)) = √(30(0.808)(0.192)) = √4.65408 = 2.1573

For part a,

We are asked for P(X < 20). Using continuity correction to account for the discrete variable, we find

P(X < 19.5)

z = (19.5-24.24)/(2.1573) = -4.74/2.1573 = -2.20

Using a z table, we see that the area under the curve to the left of this is 0.0139.

For part b,

We are asked for P(X = 24). Using continuity correction, we find

P(23.5 < X < 24.5)

z = (23.5-24.24)/2.1573 = -0.74/2.1573 = -0.34

z = (24.5-24.24)/2.1573 = 0.26/2.1573 = 0.12

Using a z table, we see that the area under the curve to the left of z = -0.34 is 0.3669. The area under the curve to the left of z = 0.12 is 0.5478. The area between them is then

0.5478-0.3669 = 0.1809.

For part c,

We are asked to find P(25 ≤ X ≤ 28). Using continuity correction, we find

P(24.5 < X < 28.5)

z = (24.5-24.24)/2.1573 = 0.26/2.1573 = 0.12

z = (28.5-24.24)/2.1573 = 4.26/2.1573 = 1.97

Using a z table, we see that the area under the curve to the left of z = 0.12 is 0.5478. The area under the curve to the left of z = 1.97 is 0.9756. The area between them is 0.9756 - 0.5478 = 0.4278.

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4 years ago

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3 years ago

Sales at LL Boutique decreased 10% this month compared to last month. If sales this month were $103,581, what were the sales (in

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Answer:

Step-by-step explanation:

(103,581) • (%110)

= (103,581) • (1.10)

= $113,939.1

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