Answer:
Option (B)
Step-by-step explanation:
From the given picture,
Given:
Two lines PM and QR are intersecting each other at a point N.
∠NMR ≅ ∠NPQ
NR ≅ QN
To prove:
ΔMNR ≅ ΔPNQ
Statements Reasons
1). NR ≅ QN 1). Given
2). ∠NMR ≅ ∠NPQ 2). Given
3). ∠MNR ≅ ∠PNQ 3). Definition of vertical angles
4). ΔMNR ≅ ΔPNQ 4). AAS theorem of congruence
Therefore, Option (B) will be the correct option.
If 1 ml of volume contains 1 mg of epinephrine, then 0.1 ml of volume contains 0.1 mg of epinephrine.
Let x be the number of ml you need.
Ratio: 1 ml is to 1 mg as x ml is to 0.1 mg
(1 ml)/(1 mg) = (x ml)/(0.1 mg)
Cross multiply.
1 * x = 1 * 0.1
x = 0.1
Answer: 0.1 ml
The length and width of the rectangle is 2√5m and √5m respectively
<h3>Volume of a rectangle</h3>
The formula for calculating the volume of a rectangle is expressed as:
V = lw
where
l is the length
w is the width
h is the height
If base is twice its width, then l = 2w
Substitute
10 = w(2w)
10 = 2w²
5 = w²
w = √5 m
Since l = 2w
l = 2√5m
Hence the length and width of the rectangle is 2√5m and √5m respectively
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Answer:
Step-by-step explanation:
H0 : μ ≥ 6
H1 : μ < 6
Test statistic :
n = 20
Sample Mean, x = 3
σ = 1.5
Test statistic = (x - μ) ÷ σ/sqrt(n)
Test statistic = (3 - 6) ÷ 1.5/sqrt(20)
Test statistic = - 3 / 0.3354101
Test statistic = −8.944271
Since, sample size is < 30 ;
Obtaining the Critical value using the from T;
Tcritical at 0.05, df = 19 = - 1.729
Tstatistic < Tcritical
−8.944271 < - 1.729
Hence, we reject the Null:
We can conclude that there is significant evidence that the number of complaints received by Lara music store is different from number of complaints received by music stores in general.
Answer:
Exact Form:
163
/859
Decimal Form:
0.18975552
969
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
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