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Ede4ka [16]
3 years ago
9

Evaluate the expression when a = 10. a/4 + 1/3

Mathematics
1 answer:
liraira [26]3 years ago
7 0
10/4 + 1/3 = 17/6

step 1: reduce the fraction with 2:

5/2 + 1/3

step 2: write all numerators above the common denominator 6:

15 + 2/ 6

step 3: add the numbers:

17/6
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Which of these expressions can be used to calculate the monthly payment for
skad [1K]

Answer:

m=(r/n)+0.114r

Step-by-step explanation:

m=monthly payment

r=remaining amount

n=# of months remaining

3 0
4 years ago
The length of line segment AD is 6.8 cm. The length of line segment AB is 3 cm. The length of line segment BC is 1.6 cm. Find th
saw5 [17]

Answer:

9.6

Step-by-step explanation:

This is a four side figure which is most likely to be a trapezium.So AD is the hypotenuse,AB is side (a),BC is the height and CD is side (b).

6 0
2 years ago
Plutonium–238 has a yearly decay constant of 7.9 × 10-3. If an original sample has a mass of 15 grams, how long will it take to
eduard
The answer is 28 years

At = A0 * e^(-k * t)
At = 12 g
A0 = 15 g
k = 7.9 × 10^-3 = 0.0079 
t = ?

12 = 15 * e^(-0.0079 * t)
12/15 = e^(-0.0079 * t)
0.8 = e^(-0.0079 * t)

Logarithm both sides (because ln(e) = 1:
ln(0.8) = ln(e^(-0.0079 * t))
ln(0.8) = (-0.0079 * t) * ln(e)
-0.223 = -0.0079 * t
t = -0.223 / -0.0079
t = 28.23
t ≈ 28 years
8 0
3 years ago
The mean of a certain set of measurements is 27 with a standard deviation of 14. The distribution of the
Talja [164]

Answer:

Exactly 16%.

Step-by-step explanation:

Normal Probability Distribution

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The mean of a certain set of measurements is 27 with a standard deviation of 14.

This means that \mu = 27, \sigma = 14

The proportion of measurements that is less  than 13 is

This is the p-value of Z when X = 13, so:

Z = \frac{X - \mu}{\sigma}

Z = \frac{13 - 27}{14}

Z = -1

Z = -1 has a p-value of 0.16, and thus, the probability is: Exactly 16%.

8 0
3 years ago
What is 54 3/11 as a decimal
Bess [88]
54.27 54.27 54.27 54.27
8 0
3 years ago
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