Hello,
Very nice as problem.
2 solutions:
1 quater,8 dimes, 2 pennies
and
3 quaters,3 dimes, 2 pennies
since
107=( 0, 0, 107) but : 100= 0*25+ 0*10+ 100
107=( 0, 1, 97) but : 100= 0*25+ 1*10+ 90
107=( 0, 2, 87) but : 100= 0*25+ 2*10+ 80
107=( 0, 3, 77) but : 100= 0*25+ 3*10+ 70
107=( 0, 4, 67) but : 100= 0*25+ 4*10+ 60
107=( 0, 5, 57) but : 100= 0*25+ 5*10+ 50
107=( 0, 6, 47) but : 100= 0*25+ 6*10+ 40
107=( 0, 7, 37) but : 100= 0*25+ 7*10+ 30
107=( 0, 8, 27) but : 100= 0*25+ 8*10+ 20
107=( 0, 9, 17) but : 100= 0*25+ 9*10+ 10
107=( 0, 10, 7) but : 100= 0*25+ 10*10+ 0
107=( 1, 0, 82) but : 100= 1*25+ 0*10+ 75
107=( 1, 1, 72) but : 100= 1*25+ 1*10+ 65
107=( 1, 2, 62) but : 100= 1*25+ 2*10+ 55
107=( 1, 3, 52) but : 100= 1*25+ 3*10+ 45
107=( 1, 4, 42) but : 100= 1*25+ 4*10+ 35
107=( 1, 5, 32) but : 100= 1*25+ 5*10+ 25
107=( 1, 6, 22) but : 100= 1*25+ 6*10+ 15
107=( 1, 7, 12) but : 100= 1*25+ 7*10+ 5
107=( 1, 8, 2) is good
107=( 2, 0, 57) but : 100= 2*25+ 0*10+ 50
107=( 2, 1, 47) but : 100= 2*25+ 1*10+ 40
107=( 2, 2, 37) but : 100= 2*25+ 2*10+ 30
107=( 2, 3, 27) but : 100= 2*25+ 3*10+ 20
107=( 2, 4, 17) but : 100= 2*25+ 4*10+ 10
107=( 2, 5, 7) but : 100= 2*25+ 5*10+ 0
107=( 3, 0, 32) but : 100= 3*25+ 0*10+ 25
107=( 3, 1, 22) but : 100= 3*25+ 1*10+ 15
107=( 3, 2, 12) but : 100= 3*25+ 2*10+ 5
107=( 3, 3, 2) is good
107=( 4, 0, 7) but : 100= 4*25+ 0*10+ 0
Answer:
97.73% of bags weigh more than 14.8 ounces.
Step-by-step explanation:
We are given that the weight of potato chip bags filled by a machine at a packaging plant is normally distributed with a mean of 15.0 ounces and a standard deviation of 0.1 ounces.
<em>Let X = weight of potato chip bags filled by a machine</em>
So, X ~ N(
)
The z-score probability distribution for normal distribution is given by;
Z = 
~ N(0,1)
where, 
= mean weight = 15.0 ounces
= standard deviation = 0.1 ounces
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.
So, percentage of bags that weigh more than 14.8 ounces is given by = P(X > 14.8 ounces)
P(X > 14.8 ounces) = P( > 
) = P(Z > -2) = P(Z < 2)
= 0.9773 or 97.73%
<em>Now, in the z table the P(Z </em>
<em> x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 2 in the z table which has an area of 0.9773.</em>
Hence, 97.73% of bags weigh more than 14.8 ounces.
So first you would have to do is read the problem carefully and understand what it's asking you and what I mean is look for some clues that would help you to solve the problem. For instance, the word fewer is a good word to help us because the word fewer means less or taking away and so what that tells us is, what we have to do is subtract 1089 points from 14370 points they want to know how many points did Amy scored and so in order to do that we need to subtract and so our final answer would be 13281 as our final answer and so thank you for this question and keep in mind that you always have to read the question carefully in order to understand. So Amy scored 13281 in the game. Have a blessed day.
Answer:
56°,72°,52°
Step-by-step explanation:
Acute means angle less than 90°.
An acute triangle is a triangle with all the angles less than 90°.
So we can avoid option B 30°,25°,125° and option D 90°,45°,45°,
Sum of angle in option A
Sum = 59 + 61 + 62 = 182°
So, option A does not represent a triangle.
Sum of angle in option C
Sum = 56 + 72 + 52 = 180°
Here all the angles are less than 90°.
So, the correct answer is 56°,72°,52°.
