Asa has 15 dimes and 32 quarters.
Step-by-step explanation:
Given,
Total coins = 47
Worth of coins = $9.50 = 9.50*100 = 950 cents
1 dime = 10 cents
1 quarter = 25 cents
Let,
Number of dimes = x
Number of quarters = y
According to given statement;
x+y=47 Eqn 1
10x+25y=950 Eqn 2
Multiplying Eqn 1 by 10

Subtracting Eqn 3 from Eqn 2

Dividing both sides by 15

Putting y=32 in Eqn 1

Asa has 15 dimes and 32 quarters.
Keywords: linear equation, elimination method
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Answer:
Number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.
Step-by-step explanation:
We are given that one wants to estimate the mean PSLT for the population of all families in New York City with gross incomes in the range $35.000 to $40.000.
If sigma equals 2.0, we have to find that how many families should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5.
Here, we will use the concept of Margin of error as the statement "true mean PSLT within 0.5" represents the margin of error we want.
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<u>SO, Margin of error formula is given by;</u>
Margin of error =
where,
= significance level = 10%
= standard deviation = 2.0
n = number of families
Now, in the z table the critical value of x at 5% (
) level of significance is 1.645.
SO, Margin of error =
0.5 =

n =
= 43.3 ≈ 43
Therefore, number of families that should be surveyed if one wants to be 90% sure of being able to estimate the true mean PSLT within 0.5 is at least 43.
I think it’s 3 not sure tho because i forgot most things about it
Answer
$540
Step-by-step explanation:
hopes this helps
Answer:
d = 11.401754
For:
(X1, Y1) = (5, 4)
(X2, Y2) = (-4, -3)
Distance Equation Solution:
=√ (-4−5)2+(−3−4)2
=√ (-9)2+(−7)2
=√ 81+49
=√ 130
=11.401754