Assume the readings on thermometers are normally distributed with a mean of 0C and a standard deviation of 1.00C. Find the probability that a randomly selected thermometer reads between and and draw a sketch of the region.
Answers
Complete Question
Assume the readings on thermometers are normally distributed with a mean of 0°C and a standard deviation of 1.0°C. Find the probability that a randomly selected thermometer reads between 0.50°C and 1.50°C and draw a sketch of the region.
Answer:
0.24173
Step-by-step explanation:
We would solve this question using Z score formula.
z = (x-μ)/σ
where:
x is the raw score
μ is the population mean = 0°C
σ is the population standard deviation = 1°C
For x = 0.5°C
z = (0.5 - 0)/1
z = 0.5
Probability value from Z-Table:
P(x = 0.5) = 0.69146
For x = 1.5°C
z = (1.5 - 0)/1
z = 1.5
Probability value from Z-Table:
P(x = 1.5) = 0.93319
The probability of that a randomly selected thermometer reads between 0.50°C and 1.50°C is calculated as:
P(0.5 < Z < 1.5) = P(x = 1.5) - P(x = 0.5)
= 0.93319 - 0.69146
= 0.24173
Find attached to this answer the sketch of the region.
Related Questions
1. Given that cosθ≈0.646 where θ is in quadrant IV, find the values of sinθ and tanθ to the nearest thousandth
a. sinθ=−0.763; tanθ=−1.181
b. sinθ=−0.763; tanθ=−0.847
c. sinθ=0.763; tanθ=0.847
d. sinθ=0.763; tanθ=1.181
2. Terran’s running rate is 4 miles per hour faster than her walking rate. She can run 21 miles in the same amount of time it takes her to walk 9 miles. What are her walking and running rates in miles per hour? Write and solve a rational equation to answer the question. Let x be Terran’s walking rate
a. 21/x+4=9/x; Terran walks at 2 miles per hour and runs at 6 miles per hour.
b. 21/x=9/x−4; Terran walks at 7 miles per hour and runs at 10 miles per hour.
c. 21/x=9/x−4; Terran walks at 4 miles per hour and runs at 8 miles per hour.
d. 21/x+4=9/x; Terran walks at 3 miles per hour and runs at 7 miles per hour.
Answers
Answer:
d.) sinθ=0.763; tanθ=1.181
c. 21/x=9/x−4; Terran walks at 4 miles per hour and runs at 8 miles per hour.
Step-by-step explanation:
Given that:
θ is in the IV quadrant (All is positive) that is sin, cos and tan are all positive.
Cosθ = 0.646
Θ = Cos^-1(0.646)
θ = 49.75930
Hence,
Tanθ = tan(49.75930) = 1.1816365 = 1.182
Sinθ = sin(49.75930) = 0.7633373 = 0.763
2.)
Let
Walking rate = x mph
Running rate = x + 4 mph
21 miles run time = 9 miles walk time
Recall :
Time = distance / speed or rate
21 / (x + 4) = 9 / x
Cross multiply :
21 * x = 9(x + 4)
21x = 9x + 36
21x - 9x = 36
12x = 36
x = 36 /12
x = 4 mph = walking rate
Running rate = x + 4 = 4 + 4 = 8 mph
pls help asap!!!!!!!
Answers
Answer:
Angle ∠A = 93°'
Angle ∠B = 66.163°
Angle ∠C = 20.837°
Side a = 39.30337
Side b = 36
Side c = 14
Step-by-step explanation:
Rotate the vector (5,1) 90°
clockwise about the origin.
Answers
Answer:
(-1, 5)
Step-by-step explanation:
this is correct
The new coordinates of the vector (5,1) after rotating it 90° clockwise about the origin would be (-1,5).
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
Rotating a vector 90° clockwise in a 2D coordinate system can be accomplished by "flipping" the vector's x and y coordinates and then negating one of them.
In this case, the original x-coordinate is 5 and the y-coordinate is 1.
When we negate the x-coordinate and swap the positions of x and y, we get the new coordinates of (-1,5).
To learn more about the transformations click here :
brainly.com/question/28029674
#SPJ2
Exploring Unit Rates on Graphs -
The graph shows the rate at which paint is used to paint a wall.
Enter values to complete each statement below based on the graph.
Answers
Answer:
1 gallon of paint will paint 400 ft² of the wall
Unit rate = 400 ft² per gallon
Step-by-step explanation:
From the graph, when 1 gallon of paint was used, (x = 1), an area of 400 ft² of the wall was painted (y = 400).
Unit rate = y/x. That is, the amount of square feet of wall that would be painted using 1 gallon of paint.
Unit rate = 400 ft²/1 gallon = 400 ft²/gallon.
A new year begins at 12:00 AM on January 1. What is the date
and time 12,345 minutes after the start of the new year?
Helppp
Answers
Answer:
Step-by-step explanation:
12,345/60=205.75 hours
l
safe to say 205 hours and 45 minutes
12 AM January 2nd 24 hours
12 AM Jan 3rd 48 hours
......
12 Am Jan 9th 192 h
it is Jan 9th, 1:45 PM
The date and time 12,345 minutes after the start of the new year will be 9 January.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A new year begins at 12:00 AM on January 1.
The number of days in time 12,345 minutes will be
⇒ 12345 / (60 x 24)
⇒ 8.5729 days
Then the date and time 12,345 minutes after the start of the new year will be 9 January.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
A ferris wheel can fit 75 people in 25
minutes. Calculate the unit rate of people
per minute.
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Answer:
3people/minute
Step-by-step explanation:
75/25=3
Is this a function?
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H
Which side has a length of 10 units?
G
8
O HG
O GJ
4
O HI
OJ
-8
-4
4
8
1
-4
-8
Done
Intro
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Answer:
HI sorry for the late answer:>
Step-by-step explanation:
Answer:
it is indeed HI
Step-by-step explanation:
I don't know what i am doing wrong pls hel
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car travels 177 milies in 3 hours at a constant speed. Which unit ratio represents the speed of the car?
Answers
Answer:
59 miles per hour
Step-by-step explanation:
Describe the triple constraint. What are the three components and what is the relationship between them
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Answer:
The triple constraint represents the three constraints or inputs which control the project's capacity to produce.
The three components are Budget, time, and scope.
The relationship between them is an interdependent or triangular shape.
Step-by-step explanation:
The triple constraint represents the three constraints or inputs which control the project's capacity to produce. Budget, Scope and Time.
Budget - The budget describes the estimated cost of the project. Time: The time represents the deadline to complete the project.Scope: This is simply what needs to be provided.These 3 components are dependent to each other.
For example, if time is restricted then scope and budget will be affected. similarly.
The relationship between the three is that one of the two other components must decrease while one component increases for the project to succeed as expected.
help i’m stuck i’ll give brainliest
Answers
Solve the inequality:
Please select the best answer from photo of choices provided.
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Answer:
b. h>-4
Step-by-step explanation:
Remember solving a inequality is similar to solving an equation, to do so you need to isolate the variable.
[tex]\frac{3}{2}h+12\geq 6[/tex]
To solve first subtract 12 from both sides
(3/2)h>-6
Then, multiply both sides by (2/3)
h>-4
How is 75% of 60 minutes 45?
Answers
Answer:
It just is see explanation
Step-by-step explanation:
75% is equal to 0.75, or 3/4. If you multiply the full 60 minutes to 3/4, then your product is 45 minutes. That's how 75% of 60 minutes is 45 minutes.
Answer: 75% of a number is the same thing as 3/4 of the number.
so for example, divide 100 by 4. you get 25 right?
right, so multiply 25 by 3 and you get 75. That's what 3/4 of something is.
now divide 60 by 4. you get 15 right?
right, so multiply 15 by 3, and you get 45 :)))
that's why 75% of 60 is 45.
i hope this helps!!
BTW when you get a question with percentages, you can flip them! In this case it doesn't really help to do so, but for example if you had a question asking:
what is 16% of 50?
FLIP IT. it's the same thing as 50% of 16!!! This works with like any percentage!!!
Please help
Part b is how much farther would she have to walk if she stopped at randis house before continuing on to the store
Answers
Answer:
10 units
Step-by-step explanation:
Distance from Sarah's house to Randi's house = 6 units.
Distance from Randi's house to store = 8 units.
By using Pythagoras theorem:
Distance from Sarah's house to store
[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]
IT 40 POINTS SO PLZ HELP ITS 5 QUESTIONS PL ANSWER THEM ALL
How can a number line help in ordering rational numbers:
How are number lines and the coordinate plane related:
Does the order of the numbers in an ordered pair matter when naming a point? Can that point be represented by more than one ordered pair?
A point is reflected across the x-axis. The new point is located at (4.75, -2.25). Write the ordered pair that represents the original point. Explain.
A point is reflected across the x-axis. The new point is (5, -3.5). What is the distance between the two points? Explain.
Answers
Answer:
1: It places them in an order sequentially relative to each other.
2: Number lines show the location of a number relative to each other on a one dimensional plane, and a coordinate plane does the same on two axis, or a two dimensional plane.
3: The order of the numbers do matter because the first one is the x coordinate and the second is the y. We nee a point of reference so we aren't able to make it so a single point can be represented by multiple ordered pairs, and vice versa so we can accurately share the information without additional interpretation.
4: (4.75, 2.25) Because to move across the x axis is to move in a direction perpendicular to it, meaning only the y coordinate will change. To be mirrored, it has to be copied and the absolute value of y (from both the x and y axis) must be maintained, just moved into the quadrant above or below it.
5: It is 7 units because the original coordinate would be 3.5 (as explained previously), and to move all the way to -3.5 you would need to cover the first 3.5 units to get to y=0, and then another 3.5 units down to get to y=-3.5. This is a total of 7 units moved.
Step-by-step explanation:
A manager of a clothing store always orders 2 small T-shirts and 3 large T-shirts for
every 4 medium T-shirts. The manager plans to order 24 medium T-shirts. How
many small T-shirts and large T-shirts should the manager order? Show your work.
Answers
Answer:
12 small, 18 large
Step-by-step explanation:
x - small
y - large
z- medium
4z=2x=3y then she orders 24
24/4=6 times more than usually, so we should *6 for every x and z
24z=6*2x=6*3y
12 - x - small tshirt
18 - y - large
Diego had $420 in his checking account. He made 6 deposits of $35.50 each. He also
needs to write 4 checks for $310.75 each.
a. How much did Diego deposit In total?
show the work please.
giving 13 points!!
Answers
So, first you would need to multiply 6 by $35.50, then take that number and add it to the $420 to get $633.00. Then you need to multiply $310.75 by 4. After take that $1243.00 and subtract $633.00 from it to get $610.00.
the answer is: Diego would need to add at least $610 to his account to cover his checks.
Explaination:
The options are <,>,=
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Answer:
<
Step-by-step explanation:
Can anyone please help me?
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a factory is able to manufacture parts for a ceiling fan. based on the data shown in the graph below, how many parts can the factory manufacture in 14 hours
Answers
Answer:
Step-by-step explanation:
which ofthe following are equalivilent to -7?
-49/-7
0/-7
49/-7
-21/3
21/3
Answers
the art students are using clay. Each student needs 9/10
Answers
Answer:
ok mam yes mam going to do my clay
hey any help is appreciated
Answers
Answer:
a positive querlashon the lower they studied the lower grade they got
Step-by-step explanation:
The lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min. If one such class is randomly selected, find the probability that the class length is between 50.8 and 51 min.
Answers
Answer: the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
Step-by-step explanation:
Given data;
lengths of a professor's classes has a continuous uniform distribution between 50.0 min and 52.0 min
hence, height = 1 / ( 52.0 - 50.0) = 1 / 2
now the probability that the class length is between 50.8 and 51 min = ?
P( 50.8 < X < 51 ) = base × height
= ( 51 - 50.8) × 1/2
= 0.2 × 0.5
= 0.1 ≈ 10%
therefore the probability that the class length is between 50.8 and 51 min is 0.1 ≈ 10%
A chemist has a solution of 65% pure acid and another solution of 30% pure acid. How many gallons of each will make 350 gallons of 55% pure acid solution?
Answers
Answer:
250 of 65% acid
100 gallons of 30% acid
Really sorry if this is incorrect, I had this question on my Lesson 16 test, and I don't know if it's correct or not...
Answer:
250 of 65% acid
100 g of 30% acid
Step-by-step explanation:
Which expression is equivalent to 9 + 8?
A. 3 to the power of 3 + 2 to the power of 4
B. 3 to the power of 2 + 2 to the power of 3
C. 3 to the power of 2 + 2 to the power of 3
D. 3 to the power of 3 + 2 to the power of 3
Answers
In letter A, it’s 43 which is incorrect
Letter B, is 17 which is right
For Letter C is 17 as well which is right
And as for D is 35
There are two answers to pick which is either B and C. I can’t really help you on how to find the reasonable one but at least I helped you solved and eliminated the answers here
Answer:
i think it is A
Step-by-step explanation:
How can I tell that a graph is a function or not?
Answers
Answer:
You can use the vertical line test, which means anywhere you put it on the graph it should only pass through the line once.
Step-by-step explanation:
This insures that the graph does not have two of the same x values. However if it has two points that have the same x values that means it will not be a function.
What fraction is equivalent to -7 over 8
1)8 over -7
2)7 over -8
3)-7 over -8
4)7 over 8
Answers
Answer:
2) 7/-8
Step-by-step explanation:
7/-8 because there is one negative meaning that the whole fraction will be negative. If there were two negatives, or none, it would be positive. The original fraction, -7/8, is a negative. Also, the actual numbers are equivalent as well, 7/8 and 7/8.
Find the value of x.
Answers
Answer:
[tex]\sqrt{30}[/tex]
