The time X it takes Hattan to drive to work on a randomly selected day follows a distribution that is approximately Normal with mean 15 minutes and standard deviation 6.5 minutes. Once he parks his car in his reserved space, it takes 5 more minutes for him to walk to his office. Let T = the total time it takes Hattan to reach his office on a randomly selected day, so T = X + 5. Describe the shape, center, and variability of the probability distribution of T.
Answer:
Shape: Approximately Normal
Center: 20 minutes
Variability: 6.5 minutes.
Using statistical concepts, it is found that the distribution is normal, with mean (center) of 20 minutes, and standard deviation of 6.5 minutes.
When a constant is added to a normal variable, the distribution remains normal and the standard deviation remains constant, while the constant is added to the mean.
In this problem, a constant of 5 minutes is added to a normal variable with mean of 15 minutes and standard deviation of 6.5 minutes, hence, the distribution is:
Normal, with mean (center) of 20 minutes, and standard deviation of 6.5 minutes.
A similar problem is given at https://brainly.com/question/20713526
what is 3/4÷ 1/8? with a explanation
Answer:
The answer is 6.
Step-by-step explanation:
you have 3/4 divided by 1/8, first you find a common denominator, which is 8. Second you do 3 x 2 and 4 x 2, you should get 6/8 divided by 1/8, and 6 divided by 1 is still 6.
Answer:
6
Step-by-step explanation:
3 /4 × 8 /1 =
3×8/4×1=24/4
3x8 is the numerator 4x1 is the denominator
24/4=6
3/4÷1/8=6
Three out of nineteen students will ride in a car instead of a van. How many ways can those three students be
chosen? Use the following formula.
n!
r
C(n, r) = r!(n-1)!
Simplify the expression
5x - 7y + 4y – 12x
Answer:
-7x-3y
Step-by-step explanation:
5x-7y+4y-12x
Collect like terms
-7x-7y+4y
Connect like terms
-7x-3y
an investor has 200k to invest among 4 possible investments including apple Inc. Each investment must be in units of 10k. Out of 200k, at least 50k must be invested to apple inc. If the whole 200k is invested, how many different investment strategies are possible
Answer:
The four investments are possible.
Step-by-step explanation:
Investor has 200k to invest,
The 4 investment are:
1. Apple inc
2. B inc
3. C inc
4. D inc
Assuming the other three investments are B, C and D.
If 50k is invested in Apple inc, how much is left?
200k -50k = 150k
This remaining 150k can shared equally amongst the other three investments ;
150/ 3 = 50
Therefore each investment will get 50k each.
PLEASE I WILL GIVE BRAINLYIEST Determine which numbers the equations can be multiplied by to create opposite terms of the x-variable.
1/2x-1/4y=-3
-1/3x + 2/3y = 5
Which number can the first equation be multiplied by?
Which number can the second equation be multiplied by?
Answer:
For the first 2 for the second 3
Step-by-step explanation:
first would be 1x the second would be -1x
Answer:
2 and 3
Step-by-step explanation:
Ginger buys lunch at school every day. She always gets pizza when it is
available. The cafeteria has pizza about 80% of the time.
Ginger runs a simulation to model this using a random number generator. She
assigns these digits to the possible outcomes for each day of the week:
• Let 0 and 1 = no pizza available
• Let 2, 3, 4, 5, 6, 7, 8, and 9 = pizza available
The table shows the results of the simulation,
08458 47165 68194 88490 01841
43226 12924 52568 93039 39406
What is the estimated probability that Ginger will eat pizza for lunch every day
next week?
A. 0.0
B. 0.2
C. 0.4
D. 0.8
Answer:
0.2
Step-by-step explanation:
43226 and 52568
The Probability that Ginger will eat pizza for lunch every day for next week is 0.2.
What is Probability?Probability is "possibility that deals with the occurrences random event. It values varies from 0 to 1".
According to the question,
Ginger assigns digits 0 and 1 = no Pizza available and also assign digits
2,3,4,5,6,7,8 and 9 = Pizza available.
The table shows the results of the simulation,
08458 this simulation contains digit '0' so there is no pizza.
47165 this simulation contains digit '1' so there is no pizza.
68194 this simulation contains digit '1' so there is no pizza.
88490 this simulation contains digit '0' so there is no pizza.
01841 this simulation contains digits '0 and 1' so there is no pizza.
43226this simulation contains no digits '0 and 1' so there is pizza available.
12924 this simulation contains digit '1' so there is no pizza.
52568 this simulation contains no digits '0 and 1' so there is pizza available.
93039 this simulation contains digit '0' so there is no pizza.
39406this simulation contains digit '0' so there is no pizza.
Total number of simulation = 10.
Formula for Probability = [tex]\frac{Number of favorable events }{Total number of outcomes}[/tex]
Probability of availability of Pizza = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex] = 0.2.
Hence, the Probability that Ginger will eat pizza for lunch every day for next week is 0.2.
Learn more about Probability here
https://brainly.com/question/14378528
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The area of a square carpet is 5476 sq.cm. Find the length of its side.
Answer:
Area of square = (side)^2 = 5476 sq.cm
side = √5476 sq.cm
side = √(74 cm)^2
side = 74 cm
Step-by-step explanation:
Answer:
74
Step-by-step explanation:
Since it's a square, all the sides are the same. Just square root 5476.
zearn.org
MIL
Fraction Problem Solving
Sign out
Hector read of a book in the morning, and he read some more at night. By the end of the day.
he still had of the book left to read. How much of the book did Hector read at night? -)
Solve on paper. Then check your work on Zearn.
1 book
Morning
Left
Night
4
2 / 3
?
Hector read
of the book at night.
Enter ✓
A circle has a diameter of
18
m. Find the area of the sector
whose central angle is 135°
Answer:
[tex]\boxed {\boxed {\sf \frac{ 243}{8} \pi , 95.3775, or \ 95.42587686 \ m^2 }}[/tex]
Step-by-step explanation:
When given the central angle in degrees, the formula for sector area is:
[tex]A=\frac{ \theta}{360} * \pi r^2[/tex]
where θ is the central angle and r is the radius.
We are given the diameter, so we must calculate the radius. The radius is half the diameter.
r= d/2The diameter is 18 meters.
r= 18 m/2 r= 9 mNow we know all the variables:
θ=135 r= 9 mSubstitute the values into the formula.
[tex]A=\frac{ 135}{360} * \pi (9)^2[/tex]
Solve the exponent first.
(9)²= 9 m *9 m= 81 m²[tex]A=\frac{ 135}{360} * (81 \ m^2) \pi[/tex]
Solve the fraction.
[tex]A=\frac{ 3}{8} * (81 \ m^2) \pi[/tex]
Multiply the two rational numbers.
[tex]A=\frac{243}{8} \pi \ m^2[/tex]
The answer can be left like this, in terms of pi, or can be multiplied.
Using 3.14 as pi[tex]A=\frac{243}{8} *3.14 \ m^2[/tex]
[tex]A= 95.3775 \ m^2[/tex]
Using the pi button as pi[tex]A= 95.42587685 \ m^2[/tex]
The area is 243/8 π, 95.3775, or 95.42587685 square meters.
I need help with this question anyone who answer it would mean a lot.!
Answer:
from what i know c
Step-by-step explanation:
Junior has a recipe that uses 1 3/4 cups of brown sugar and 3 1/3 cups of flour to make 18 muffins. He has a total of 10 cups of flour. Junior wants to use all his flour to make as many muffins as possible using this recipe. Exactly how many muffins will Junior make if he uses all 10 cups of flour? Think: How many groups of 3 1/3 cups equals 10 cups total. Don’t forget each batch makes 18 muffins.
Answer:
54 muffins
Step-by-step explanation:
Given that:
Cups of flour used to make recipe = 3 1/3 cups
Total cups of flour = 10 cups
Number of muffins per recipe = 18
Number of recipes that can be made from 10 cups of flour :
Total cups of flour / cups of flour per recipe
10 ÷ 3 1/3
10 ÷ 10/3
10 * 3/10
30 /10
= 3 recipes
Total number of muffins :
Number of muffins per recipe * number of recipe
18 * 3 = 54 muffins
How much time will it take for a car to travel 250meters if it is traveling at 70 m/s?
Answer: approximately 3.57 seconds
========================================================
Work Shown:
x = number of seconds
distance = speed*time
250 meters = (70 m/s)*(x seconds)
250 = 70x
70x = 250
x = 250/70
x = 3.57142857142858
x = 3.57
It takes approximately 3.57 seconds for the car to travel 250 meters, when it travels a constant speed of 70 meters per second.
Which value of p is a solution to p x 1/3=6
Siyoni, Adam and Ben share some money in the ratio 5:3:4 In total, Adam and Ben receive $84 Work out how much they cach get. (help me i’ll give brainliest!)
What is the value for x?
2/6 = x/12
Answer:
x=4
Step-by-step explanation:
2/6*2=4/12
Answer:
x = 4
Step-by-step explanation:
2/6 = 0.33
so x is 4
4/12 = 0.33
Pls can i be brainliest...
Which quadrant is (-3,7) in?
A: 1 or |
B: 2 or ||
C: 3 or ||
D: 4 or IV
What is the approximate distance from one corner of the soccer field to the opposite corner?
60
yards
9.6
100 yards
Answer:
I think Your best answer would be 117 yards.
Step-by-step explanation:
find the equation of the line that contains The given point and is perpendicular to the given line. Write the equation in slope intercept form, if possible. (21,7); 7x-5y=6
Answer:
an = 63(-1/3)^(n-1)
Step-by-step explanation:
This is a geometric sequence with first term 63 and common ratio -1/3.
The equation for the nth term is
an = 63(-1/3)^(n-1).
Which statement best predicts the weather for Denver, Colorado on day 3.
Answer:
Denver should be experiences balmy weather on day 3. Temps vary depending on the month, but overall no storms, and fairly clear weather should be present.
Step-by-step explanation:
A higher pressure system is moving closer to Denver, making for sunnier and calmer weather. It also seems like the nice H should stick for around 2-5 days if the low and high pressure systems continue in what seems to be a slight loop, the low pressure system will probably be moving to the Northeast soon. Overall Denver should be experiencing nice weather, perhaps a bit colder because of the cold front that seems to have sweeped through before Day 1.
(Hope this helps out, I'm sorry if this is wrong.)
Answer:
this might help
Step-by-step explanation:
thanks to the person above me i got 100%! :)
Answer this pleaseee !!
Answer:
D.
Step-by-step explanation:
m<F = m<B - Corresponding Angles Theorem
m<B + m<A = 180 - Adjacent Angles Theorem
180 - 105 = m<A
75 = m<A; therefore, m<A = 75.
Answer:
D.
Step-by-step explanation:
Because F and C are consecutive angles, they add up to 180°. So 180-105=75. Angle C is 75, which makes B wrong. After finding that C is 75°, then you use the verticle angles theorem to show that angle A is 75°. Hope this helps you.
Suppose that 11 inches of wire costs 33 cents.
At the same rate, how many inches of wire can be bought for 21 cents inches?
Answer:
Suppose that 14 inches of wire cost 42 cents at the same rate how many inches of wire can be bought for 24 cents
Step-by-step explanation:
what is the ratio for stars and circles 5 stars 2 stars
Answer:
It will be 5:2 or 2:5
Step-by-step explanation:
Both numbers are for stars
Find the value of this expression if x = 5.
x2 – 5
1,355 how many tens then hundred are in the number of miles they traveled?
Answer:
13 tens
Step-by-step explanation:
Given data
We are given that the traveled 1,355 miles of distance
Hence the number of tens of hundred is
=1,355/100
=13.55
Hence in all, there are 13 tens of hundreds
What is the ratio of the calories Robyn
burned on Wednesday le the celories she
burned on Monday?
Question isn't complete but we make assumptions in order to complete the question and explain
Answer and explanation:
If we are given a table on calories burned by Robyn on weekdays from Monday to Friday and on this table Robyn burnt 500 calories on Monday and burnt 400 calories on Wednesday, then we are required to determine the ratio of calories burnt on Wednesday to calories burnt on Monday:
Calories burnt on Wednesday = 400
Calories burnt on Monday =500
Ratio of calories burnt on Wednesday to calories burnt on Monday =400/500=4/5
Ratio =4:5
What are the new coordinates of the figure above if it is rotated 180° clockwise about the origin?
A. (3,3), B'(-3,7), C'(3,7)
B. (-3,3), B'(-7,3), C'(-7,-3)
C. (-3,3), B'(-7,3), C'(7,-3)
D. (3,3), B'(3,7), C'(-3,7)
Answer:
Step-by-step explanation:
Answer:
A'(3,3), B'(3,7), C'(-3,7) (for you D)
Step-by-step explanation:
Multiply each coordinate by -1
Had the same question and saw you needed help :)
can u help with 16-19
Which of the solutions are extraneous?
87,900
3. Salome is 2 feet 5 inches tall. How many inches tall is Salome? *
5 points
31
29
24
There are 13 students in one line and 21 students in the other line. If the 5 points
Salome is 2 feet 5 inches tall. How many inches tall is Salome?
Answer:
Salome is 29 inches tall.
Step-by-step explanation:
Each feet has 12 inches.
Salome:
Salome is 2 feet 5 inches tall.
Since each has 12 inches, 2 feet = 2*12 = 24 inches
24 + 5 = 29 inches.
So Salome is 29 inches tall.