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Flura [38]
4 years ago
5

PLEAASSEEE HELP ASAP!!!​

Mathematics
2 answers:
eduard4 years ago
8 0

Answer:

= 2 \frac{7}{23}  \\  \\

Step-by-step explanation:

5 \frac{3}{8}  - 3 \frac{1}{6}  \\  \\  \frac{43}{8}  -  \frac{19}{6}  \\  \\  \frac{258 - 152}{48}  \\  \\  \frac{106}{48}  \\  \\  \frac{53}{23}  = \:  \:  2 \frac{7}{23}

mars1129 [50]4 years ago
4 0

Answer:

2\frac{5}{24}

Step-by-step explanation:

First, the denominator needs to be the same. The smallest number that both numbers have in common is 24.

Since, the denominator of both is 24, the fractions won't be same because the numerator is the same.

For 3/8, we get 24 by multiplying 8 times 3. So, to make the fraction equal to the original, we have to multiply 3 by 3 (numerator) as well:  \frac{9}{24}

Same for 1/6, we get 24 by multiplying 6 times 4. So, to make the fraction equal to the original, we have to multiply 4 by 1 (numerator) as well:  \frac{4}{24}

Then, to find the FINAL fraction, we have to subtract the numerator <em>only</em>.

\frac{9}{24}-\frac{4}{24}=\frac{5}{24}

For the WHOLE number,s you just subtract those like normal. 5 - 3 = 2

<em>Final answer under "answer" heading</em>

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Today is your lucky day! I just so happen to have $200 dollars to give to each of my students! How much change can I expect back
SSSSS [86.1K]

Answer: 200

Step-by-step explanation:

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8 0
3 years ago
I. In a shipment of 300 connecting rods, the mean tensile strength is found to be 45 kpsi and has a standard deviation of 5 kpsi
CaHeK987 [17]

Answer:

a) Between 39 and 40 rods can be expected to have a strength less than 39.4 kpsi.

b) 260 rods are expected to have a strength between 39.4 and 60 kpsi

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 45, \sigma = 5

(a) Assuming a normal distribution, how many rods can be expected to have a strength less than 39.4 kpsi?

The percentage of rods with a stength less than 39.4 is the pvalue of Z when X = 39.4. So

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

Z = \frac{39.4 - 45}{5}

Z = -1.12

Z = -1.12 has a pvalue of 0.1314

13.14% of rods have a strength less than 39.4 kpsi.

Out of 300

0.1314*300 = 39.42

Between 39 and 40 rods can be expected to have a strength less than 39.4 kpsi.

(b) How many are expected to have a strength between 39.4 and 60 kpsi?

The percentage of rods with a stength in this interval is the pvalue of Z when X = 60 subtracted by the pvalue of Z when X = 39.4. So

X = 60

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

Z = \frac{60 - 45}{5}

Z = 3

Z = 3 has a pvalue of 0.9987

X = 39.4

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

Z = \frac{39.4 - 45}{5}

Z = -1.12

Z = -1.12 has a pvalue of 0.1314

0.9987 - 0.1314 = 0.8673

86.73% of the rods are expected to have a strength between 39.4 and 60 kpsi

Out of 300

0.8673*300 = 260

260 rods are expected to have a strength between 39.4 and 60 kpsi

4 0
4 years ago
Suppose that IQ scores have a bell-shaped distribution with a mean of 103 and a standard deviation of 15. Using the empirical ru
Lady_Fox [76]

Answer:

Probability = 0.15%

Step-by-step explanation:

The provided information is:

Let X be the scores of the IQ scores that is normally distributed with mean \mu = 103   and standard deviation  

.

That is  X \sim N(103,15)

103 - 58 = 45 = 3 \times 15

So, 58 is 3 standard deviation left to the mean.

As 99.7% of probability lies within the three standard deviation.

Thus,  above three standard deviation is:

\frac{1-0.997}{2}=0.0015

Thus, the required probability is 0.15%

8 0
4 years ago
A phone company charges for service according to the formula y=18+0.03x, where x is the number of minutes talked, and y is the m
irina [24]
The answer is dollars per minute is the slope
7 0
3 years ago
Read 2 more answers
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zavuch27 [327]
I believe the Answer would be m=2
6 0
3 years ago
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