Answer:
-x^2+2x-3
Step-by-step explanation:
(x^2 - 3x) + (-2x^2 + 5x - 3)
Combine like terms
-x^2+2x-3
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.
Answer:
(a) 85 - (35 x 2) - 6
Step-by-step explanation:
The miles Mr. Richardson has left to drive will be the difference between the distance to his goal and the miles he has alread driven. The relation between distance, speed, and time can be used to find the miles he drove before lunch.
__
<h3>before lunch</h3>
distance = speed × time
miles before lunch = (35 mi/h) × (2 h) = (35 × 2) mi
<h3>total driven</h3>
The total miles driven before stopping for gas will be ...
miles before stopping for gas = (miles before lunch) + (6 more miles)
= 35 ×2 +6 . . . miles
<h3>miles remaining</h3>
Then the remaining miles are ...
remaining = trip miles - miles driven
= 85 -(35 ×2 +6)
= 85 - (35 ×2) -6 . . . . . miles left to drive
Answer:
a = 33.32
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean 
and standard deviation 
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
P(32 < x < a) = .0590
This is the pvalue of Z when X = a subtracted by the pvalue of Z when X = 32.
X = 32
has a pvalue of 0.1587
X = a
p - 0.1587 = 0.0590
p = 0.0590 + 0.1587
p = 0.2177
So when X = a, Z has a pvalue of 0.2177. So when X = a, Z = -0.78.
So a = 33.32
