Answer:
A) 3.5
B) 1.6202
Step-by-step explanation:
In binomial distribution,
E(X) = np and Var(X) = npq while
SD (X) = √(npq)
Where n is number of cards drawn
p is probability of getting one particular shape
q = 1-p
So from the question, n = 14
p = 13/52 = 1/4
q = 1-(1/4) = 3/4
So;
A) E(x) = np = 14 x 1/4 = 3.5
B) SD (X) = √(npq) = √(14 x 1/4 x 3/4) = √(42/16) = √2.625 = 1.6202
Answer:
both the groups have the same value for the first quartile
Z/4 + 1/12= z/3- 1/6
Z=3
(First one)
H = 0.75n is the expression as a product to represent the sale price of the shirt
<em><u>Solution:</u></em>
Given that, Miranda buys a shirt at the mall
She has a coupon for 25 % off
To find: Expression as a product to represent the sale price of the shirt
Let "H" be the sale price of shirt
Let "n" be the original price of shirt
From given statement,
discount = 25 % of original price
Therefore,
discount = 25 % of n
<em><u>The sale price is given as:</u></em>
<h3>Sale price = Original price - discount price</h3>
H = n - 0.25n
<h3>H = 0.75n</h3>
Thus expression as a product to represent the sale price of the shirt is found
Answer:
The Proof is given below.
Step-by-step explanation:
Given:
P is the center of Circle
∠ONE ≅ ∠TEN
To Prove:
∠5 ≅ ∠6
Proof:
Exterior Angle Theorem:
Exterior Angle Property of a Triangle states that measure of exterior angle of a triangle is equals to the sum of measures of its interior opposite angles.
STATEMENT REASON
1. So In ΔONE,
1. Exterior Angle Property of a Triangle.
2. Similarly In ΔTEN,
2. Exterior Angle Property of a Triangle.
3. But , ∠ONE ≅ ∠TEN 3. Given
4. And P is the center of circle So
4.radius of same circle
5. ΔPEN is an Isosceles triangle,
∴ ∠ 1 ≅ ∠ 2 5. Isosceles triangle property
6. ∴ ∠5 ≅ ∠6 6. From 3 and 5 Transitive Property.........Proved