Answer:
$23.87
Step-by-step explanation:
Start by finding out how much one book costs-
$20.46/6=3.41
Then find out how much seven books cost- 3.41 (7)=$23.87
Answer:
Step-by-step explanation:
First equation
x + y ≥ 10
Second equation
5.50x + 3y ≤ 45
a possible soution can be
x = 4 and y= 6
Answer:
99% confidence interval for the population average examination score is between a lower limit of 69.2872 and an upper limit of 82.7128.
Step-by-step explanation:
Confidence interval = mean +/- margin of error (E)
mean = 76
variance = 144
sd = sqrt(variance) = sqrt(144) = 12
n = 25
degree of freedom (df) = n - 1 = 25 - 1 = 24
confidence level (C) = 99% = 0.99
significance level = 1 - C = 1 - 0.99 = 0.01 = 1%
t-value corresponding to 24 df and 1% significance level is 2.797
E = t×sd/√n = 2.797×12/√25 = 6.7128
Lower limit = mean - E = 76 - 6.7128 = 69.2872
Upper limit = mean + E = 76 + 6.7128 = 82.7128
99% confidence interval is (69.2872, 82.7128)
Answer:
Step-by-step explanation:
To prove Δ ABC similar to ΔDBE we can consider
Segments AC and DE are parallel.
⇒ DE intersects AB and BC in same ratio.
AB is a transversal line passing AC and DE.
⇒∠BAC=∠BDE [corresponding angles]
Angle B is congruent to itself due to the reflexive property.
All of them are telling a relation of parts of ΔABC to ΔDBE.
The only option which is not used to prove that ΔABC is similar to ΔDBE is the first option ,"The sum of angles A and B are supplementary to angle C".
Answer:
Answers are below
Step-by-step explanation:
5+1=6 No
78+6=76+8 Yes, commutative property of addition
2x+(3x+4x)=(2x+3x)+4x Yes, associative property of addition
52+(-18)=(-52)+18 No
6+(-6)=0 Yes, identity property of addition
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