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scZoUnD [109]
3 years ago
6

Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C and a standard devia

tion of 1.00°C. A single thermometer is randomly selected and tested. Find the probability of obtaining a reading less than -0.23°C. Round your answer to 4 decimal places P ( Z < − 0.23 ) =
Mathematics
1 answer:
lesya692 [45]3 years ago
7 0

Answer: P(x > - 0.23) = 0.41

Step-by-step explanation:

Since we are assuming that the readings at freezing on a batch of thermometers are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = the readings at freezing on a batch of thermometers.

µ = mean temperature reading

σ = standard deviation

From the information given,

µ = 0°C

σ = 1.00°C

the probability of obtaining a reading less than -0.23°C is expressed as

P(x > - 0.23)

For x = - 0.23

z = (- 0.23 - 0)/1 = - 0.23

Looking at the normal distribution table, the probability corresponding to the z score is 0.41

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the average mark of three pupils are 68. what is the ratio of 5:4:3. how many marks did the best student get? HELP ME! ​
noname [10]

Answer:

85, 68, 51

Step-by-step explanation:

Average: The sum of all the numbers divided by the number of numbers

If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x

Then using the definition of an average, we can write this equation.

(5x + 4x + 3x) / 3 = 68

Multiply both sides by 3.

5x + 4x + 3x = 68 * 3

Simplify.

12x = 204

x = 17

Now, substitute x = 17 into the original scores (5x, 4x, and 3x)

5x = 5 * 17 = 85

4x = 4 * 17 = 68

3x = 3 * 17 = 51

Just in case, let's check this answer. Find the average of the 3 test scores.

(85 + 68 + 51) / 3 =

204 / 3 = 68

Thus, the answers are correct

3 0
3 years ago
Given: circle k(O), diameter US, measure of arc RU=50, measure of arc UT=30
sleet_krkn [62]

Answer:

angle RUS = 65 degrees

angle STU = 90 degrees

Step-by-step explanation:

(a) find angle RUS

Given arc RU = 50 degrees, so angle RSU = 50/2 = 25 degrees

Since US is the diameter,

angle URS is a right-angle.

Consider triangle RUS,

sum of angles of a triangle = 25+90+RUS = 180  

solve for

RUS = 180 - 25 - 90 = 65 degrees.

(b) Find STU

All diameters span a right angle at the circumference,

since we're given US is a diameter, this means that

angle STU is a right angle.

3 0
3 years ago
Please help, I will give brainliest. I am struggling badly.
Aliun [14]

Answer:

ican you show the chart? then ill edit this to the answer

Step-by-step explanation:

5 0
3 years ago
there are 8 hooks in a display of pens. Each hook can hold 3 packages of pens and there are 3 pens in each package. If the displ
Gala2k [10]
Just multiply 8 x 3 x 3 = 72 total pens
8 0
3 years ago
Please help with number 7 /// use the table next to it
Elena-2011 [213]

the period for one revolution, namely one go-around of the Earth around the Sun completely, is 365 days and 6 hours, notice is the 3rd row in the table.

however, we in the west don't celebrate new year's day on the 1st of January at 6am, namely 365 days and 6 hours later, is celebrated at midnight on the 31st of december always, but based on that table, the revolution should be really at January 1st at 6am, but anyway.

so the calculations are done, cheesy as they are

year 1........................ 365 days and 6 hrs

year 2....................... 365 days and 6 hrs

year 3....................... 365 days and 6 hrs

year 4....................... 365 days and 6 hrs


so instead of making the revolution period 365 days and 6 hrs, the calendar makes it an even 365 days, and every 4 years, it adds up the remaining hours, 6+6+6+6 = 24, and 24 hours is one day, so, the 4th year ends up with all 6 hours gobbled up in 1 extra day, which is February 29th.


4 0
3 years ago
Read 2 more answers
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