Answer:
Her first coupon ti be used is $50 off a purchase above $300
Final purchase price= $340
Step-by-step explanation:
Marie has two coupons
one for a 15% discount and one for $50 off any purchase above $300.
The stores allow the two coupons to be combined and she spends a total of $450.
Her first coupon ti be used is $50 off a purchase above $300.
So Marie have $400 now
15% off $400= 400-(0.15*400)
15% off $400 = 400-60
15% off $400 =$ 340
Given:
The figure of two quadrilaterals.
In 
In 
To find:
Whether the figures are congruent, similar or neither.
Solution:
Ratio of corresponding sides are:


Similarly,




And,


Clearly,
.
All corresponding sides are not proportional.
Therefore, the figures are neither similar nor congruent. Hence, third option is correct.
First, we want to subtract the numbers within the parenthesis. However, to do this we must put each number over a common denominator. We can do his by multiplying
6
by the appropriate for of
1
:
2
3
(
6
−
5
6
)
⇒
2
3
(
[
6
6
×
6
]
−
5
6
)
⇒
2
3
(
36
6
−
5
6
)
⇒
2
3
(
31
6
)
Next, we can multiply the two fractions to complete the evaluation of the expression:
2
3
(
31
6
)
⇒
2
3
×
31
6
⇒
2
×
31
3
×
6
⇒
62
18
Now, we can factor the numerator and denominator so we can cancel common terms. This will give the simplest form of the fraction:
2
×
31
2
×
9
⇒
2
×
31
2
×
9
⇒
31
9
Hope this helps
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Answer:
Interval for t statistic = (-1.345, 1.345)
Step-by-step explanation:
given that a random sample of size 15 is selected from a normal population. The population standard deviation is unknown.
Since population std deviation is unknown and also sample size <30, we have to use t test only for testing of hypothesis
Given it is a two tailed test at 10% significance level.
Degree of freedom = 15-1 =14
t critical value for df 14 two tailed is
1.345
Hence our test statistic should lie between
(-1.345, 1.345)
Then null hypothesis is accepted
Other wise it is rejected.
First it has a sign second is that you can divide 3 by 18 and lastly 18 is greater than 3n