Answer:
first cross multiply
2x×4=3×8
8x=24
then, divide both sides by "8" so x could be alone
x=24/8
x=3
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Step-by-step explanation:
Answer:
Then, it costs $2120 to order 1000 pens and 2000 notebooks.
Step-by-step explanation:
The Students' Union needs to order 1000 pens and 2000 notebooks. The price per pen when buying 1000 of them is 60c. The price per notebook when buying 2000 of them is 76c.
Then the total of money needed to order 1000 pens and 2000 notebooks is:
Total Money = 1000 × 0.60 + 2000 × 0.76 = $2120
Then, it costs $2120 to order 1000 pens and 2000 notebooks.
Answer:
How many miles does each member of the biking club ri
de>
Step-by-step explanation:
This question is statistical, because 1) it provides a thing for you to study (how many miles does each member ride, as well as 2) provides (hopefully) enough respondents (the members of the biking club) that it will not skew the statistics.
~
You can find an equivalent expression for this by combining like terms.
The terms are 88, 16x, and 8.
The like terms are 88 and 8.
To combine them, add them together.
88 + 8 = 96
The equivalent expression would be 16x + 96.
This means 16x + 96 is the same as <span>88 + 16x + 8.
Since they are equivalent, that means they are equal, or the same.
So no matter what x is, they will both be equal to the same thing, so their solutions will be the same.
Answers:
Equivalent Expression: 16x + 96
Yes, both expressions will have the same solutions if x = 4.
Hope this helps!</span>
Answer:
a) .033 b) .4678 c) 100
Step-by-step explanation:
Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin
General formula for z score is given by
z=
where
- X is the miraculin produced (120,110,100)
- M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
- s is the standard deviation of the sample, which is 8.0
a)
z-score for 120 g miraculin is 
=1.8375 then
P(x > 120) = P(z>1.8375) = 0.033
b)
z-score for 110 g miraculin is 
= 0.5875
z-score for 100 g miraculin is 
= -0,6625
P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678
c)
if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:
=-0.6625 which gives a= 100
