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Dafna1 [17]
3 years ago
8

⁠ 23 56 − ⁠ 1 8 Write the answer in simplest form.

Mathematics
1 answer:
lidiya [134]3 years ago
4 0

Answer:

Convert to a simplified fraction.

1/169

Step-by-step explanation:

i think this is right im not sure <em>IM SO SORRY IF THIS IS THE WRONG ANSWER</em>

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5t-17.2=16.3<br><br>What is t?<br>PLEASE HELP!
Arte-miy333 [17]

Answer:6.7

Step-by-step explanation:

5t-17.2=16.3

5t=16.3+17.2

5t=33.5

5t/5t=33.5/5

t=6.7

4 0
3 years ago
A soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while
bija089 [108]

Answer:

The probability that the assembly line will be shut down is 0.00617.

Step-by-step explanation:

We are given that a soda bottling company’s manufacturing process is calibrated so that 99% of bottles are filled to within specifications, while 1% is not within specification.

Every hour, 12 random bottles are taken from the assembly line and tested. If 2 or more bottles in the sample are not within specification, the assembly line is shut down for recalibration.

Let X = <u><em>Number of bottles in the sample that are not within specification</em></u>.

The above situation can be represented through binomial distribution;

P(X=r)=\binom{n}{r} \times p^{r}\times (1-p)^{n-r};x=0,1,2,3,.....

where, n = number of trials (samples) taken = 12 bottles

             x = number of success  = 2 or more bottles

            p = probabilitiy of success which in our question is probability that  

                 bottles are not within specification, i.e. p = 0.01

So, X ~ Binom (n = 12, p = 0.01)

Now, the probability that the assembly line will be shut down is given by = P(X \geq 2)

  P(X \geq 2) = 1 - P(X = 0) - P(X = 1)

                 = 1-\binom{12}{0} \times 0.01^{0}\times (1-0.01)^{12-0}-\binom{12}{1} \times 0.01^{1}\times (1-0.01)^{12-1}

                 = 1-(1 \times 1\times 0.99^{12})-(12 \times 0.01^{1}\times 0.99^{11})

                 = <u>0.00617</u>

8 0
3 years ago
Who walks at a faster rate: Jake who walks 60 feet in 10 seconds or Lucy who takes 5 seconds to walk 25 feet?
My name is Ann [436]

Answer:

Jake

Step-by-step explanation:

The average rate of change is distance divided by time. You want both of their rates in feet per second. 60 feet divided by 10 seconds is 6 feet per second. 25 feet divided by 5 seconds is 5 feet per second. 6>5

6 0
3 years ago
Read 2 more answers
The product of 3.41 and 8.5 will have how many decimal places?
Aleks04 [339]
Hello! 

3.41 × 8.5 = 28.985

The product of 3.41 and 8.5 is 28.985, which has three decimal places. 

3 0
3 years ago
est scores for a statistics class had a mean of 79 with a standard deviation of 4.5. Test scores for a calculus class had a mean
Arte-miy333 [17]

Answer:

The z-score for the statistics test grade is of 1.11.

The z-score for the calculus test grade is 7.3.

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

Step-by-step explanation:

Z-score:

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.

In this question:

The grade with the higher z-score is better relative to the other students in each class.

Statistics:

Mean of 79 and standard deviation of 4.5, so \mu = 79, \sigma = 4.5

Student got 84, so X = 84

The z-score is:

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

Z = \frac{84 - 79}{4.5}

Z = 1.11

The z-score for the statistics test grade is of 1.11.

Calculus:

Mean of 69, standard deviation of 3.7, so \mu = 69, \sigma = 3.7

Student got 96, so X = 96

The z-score is:

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

Z = \frac{96 - 69}{3.7}

Z = 7.3

The z-score for the calculus test grade is 7.3.

On which test did the student perform better relative to the other students in each class?

Due to the higher z-score, the student performed better on the calculus test relative to the other students in each class

7 0
3 years ago
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