Answer:
A) 0.10565
B) 0.33846
C)
Step-by-step explanation:
The length of time that it takes for a ferry to reach a summer resort from the mainland is approximately normally distributed with a mean of 2 hours and a standard deviation of 12 minutes.
Note that, all units must be in minutes
We solve this question using z score formula
= z = (x-μ)/σ
where
x is the raw score
μ is the population mean = 2 hours
Converting to minutes
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Mean = 120 minutes
σ is the population standard deviation = 12 minutes
Over many past trips, what proportion (area) of times has the ferry reaches the island in
A) less than 1 hour, 45 minutes?
Converting 1 hour 45 minutes to minutes
60 minutes = 1 hour
Hence:
60 + 45 minutes = 105 minutes
For x < 105 minutes
= 105 - 120/12
= -1.25
Probability value from Z-Table:
P(x<105) = 0.10565
B) more than 2 hours, 5 minutes?
Converting 2 hours 5 minutes to minutes
Hence:
1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 5 minutes = 125 minutes
For x < 125 minutes
z = 125 - 120/12
z = 0.41667
Probability value from Z-Table:
P(x<125) = 0.66154
P(x>125) = 1 - P(x<125) = 0.33846
C) between 1 hour, 50 minutes and 2 hours, 20 minutes?
Converting 1 hour, 50 minutes to minutes
= 60 minutes = 1 hour
Hence:
60 + 50 minutes = 110 minutes
For x = 110 minutes
= 110 - 120/12
= -0.83333
Probability value from Z-Table:
P(x = 110) = 0.20233
Converting 2 hours, 20 minutes to minutes
= 1 hour = 60 minutes
2 hour = x
Cross Multiply
x = 2 × 60 minutes
x = 120 minutes
Hence:
120 + 20 minutes = 140 minutes
For x = 140minutes
z = 140 - 120/12
= 1.66667
Probability value from Z-Table:
P(x = 140) = 0.95221
Abakery can make 100 pies in 2 hours.
How many hours will it take, if they
need to do 350 pies?
Answer:
7 hours
Step-by-step explanation:
The bakery could bake 100/2 = 50 pies per hour.
To make 350 pies, the bakery requires 350/50 = 7 hours.
The answer is therefore 7 hours.
Roberto wrote the pattern shown below. What is the rule for following Roberto's pattern?
96, 48, 24,12
A. subtract by 48
B. divide by 2
C. multiply by 2
D. subtract by 42
Answer:
its b because
Step-by-step explanation:
24÷12 is 2 and if u do 12 × 2 and keep going u will get the next answer
Add.
-7+ (-1) =
need asap
Answer:
The answer is -8
Solve 3^x + 6 = 3^4.
−2
4
6
10
Answer:
The answer is 4
Step-by-step explanation:
x
=
ln
(
75
)
ln
(
3
)
Decimal Form:
x
=
3.92994704
…
Answer: Take the logarithm of both sides of the equation to remove the variable from the exponent.
Exact Form:
x
=
ln
(
75
)
ln
(
3
)
Decimal Form:
x
=
3.92994704
…
Step-by-step explanation:
PLEASE HELPP
in the table, y is a linear function of x. what is the value of y when x=0
Answer:
3
Step-by-step explanation:
by the way i love your profile picture
A rotating lawn sprinkler sprays water in a circular area of grass as shown in the picture. The diameter of the circular area of grass is 6 feet. How many square feet of water will the sprinkler spray?
Answer:
[tex]9\pi \: \mathrm{ft^2\:or}\: 28.27 \mathrm{\: ft^2}[/tex]
Step-by-step explanation:
The area of a circle is given by [tex]r^2\pi[/tex] where [tex]r[/tex] is the radius of the circle. The diameter is given as [tex]6[/tex] feet, so the radius of this circle is [tex]\frac{6}{2}=3[/tex] feet.
Plugging in our values, we get:
[tex]3^2\pi=9\pi\approx28.27[/tex].
Work out the percentage change when a price of £400 is decreased to £225
Answer:
1.77%.Step-by-step explanation:
The answer is 1.77%.
HOPE THIS IS CORRECT AND HELPS YOU!!!
Answer:
1.75%
Step-by-step explanation:
1.75%is correct answer
What is the area of a 3/4 yards and 5/6 yard rectangle?
Answer: 15/24
Step-by-step explanation:
A x B = 5/6 x 3/4 = 15/24
Can somebody help me pls
Answer: the m in in the equation y = mx + b represents the slope of the graph of y = mx + b.
Help pls ill mark u brainliest
Answer:
[tex]\angle 1[/tex] and [tex]\angle 3[/tex] are vertical angles and are congruent (have the same measure).
Step-by-step explanation:
[tex]\angle 1[/tex] and [tex]\angle 3[/tex] represent a pair of vertical angles. They are opposite angles to two intersecting lines. Vertical angles are always congruent. None of the other answer choices are implied in the figure.
Use a single digit times a power of 10 to estimate the number 0.00002438 .
Rounded to the nearest , the number 0.00002438 is wut i will give you brainliest
Answer:
2x10^-6
Step-by-step explanation:
Use a single digit times a power of 10 to estimate the number 0.00002438 .
Rounded to the nearest , the number 0.00002438
0.00002438
2x10^-6
When x=0 then
2x10^{-6}=0.000024
Can someone please help me on these?
what is the answer to 2q + 2 +9
Answer:
Step-by-step explanation:
2
+
2
+
9
2q+2+9
2q+2+9
Simplify
1
Add the numbers
2
+
2
+
9
2
+
1
1
Solution
2
+
1
1
I need help with this please!!
Answer:
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
Step-by-step explanation:
1. Expand by distributing sum groups.[tex]3x( {2x}^{2} + 5x - 1) - 3( {2x}^{2} + 5x - 1)[/tex]
2. Expand by distributing terms.
[tex] {6x}^{3} + {15x}^{2} - 3x - 3( {2x}^{2} + 5x - 1)[/tex]
3.Expand by distributing terms.
[tex] {6x}^{3} + {15x}^{2} - 3x - ( {6x}^{2} + 15x - 3)[/tex]
4. Remove parentheses.
[tex] {6x}^{3} + {15x}^{2} - 3x - {6x}^{2} - 15x + 3[/tex]
5. Collect like terms.
[tex] {6x}^{3} + {15x}^{2} - {6x}^{2} ) + ( - 3x - 15x) + 3[/tex]
6. Simplify.
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
Thus. the answer is,
[tex] {6x}^{3} + {9x}^{2} - 18x + 3[/tex]
What is the solution to the problem below?
Answer:
(1,1)/ one solution
Step-by-step explanation:
The solution is where the lines intersect.
c = grocery store charges
Tax is 8% added to the charges.
Which expression shows the total charges with tax?
A. 1.8c
B. 1.08c
The total charge with tax will be 1.08c.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Grocery store charges = c
And, Tax is 8% added to the charges.
Now,
Since, Tax is 8% added to the charges.
Hence, The total charge with tax = c + 8% of c
= c + 8/100 × c
= c + 0.08c
= 1.08c
Thus, The total charge with tax = 1.08c.
Learn more about the percent visit:
https://brainly.com/question/24877689
#SPJ2
A taxi driver records the time required to complete various and the distance for each trip. The best-given fit line by the equation y=0.467x + 0.417, where y represents the distance miles, and x represents the time for the trip in minutes. Estimate the distance for a trip that takes 20 minutes, show your reasoning
Using the line of best fit, it is found that the estimated distance for a trip that takes 20 minutes is of 9.757 miles.
What does the line of best fit gives?It gives the estimated distance in miles of a trip that takes x minutes, according to the following function?
y = 0.467x + 0.417.
In this problem, the trip took x = 20 minutes, hence the distance is given by:
y = 0.467 x 20 + 0.417 = 9.757 miles.
More can be learned about a line of best fit at https://brainly.com/question/17261411
#SPJ1
Help as quick as possible plz :(
Arianna buys computer games from an online store. Each game she orders costs $25, and shipping for her total order is $10. Arianna wants to spend $110. How many computer games can Arianna buy? Create an equation for the problem here.
Answer:
She can order 4 computer games.
Step-by-step explanation:
110-10=100
100÷25=4
Select the correct answer.
The slope of the function on the left is multiplied by p, and is added to the yIntercept to arrive at the function on the right. Which of the
following are the values for p and q?
A. p = -2 and q = -2
В. p=-2 and q = -4
C. P = 2 and q = -3
D. P = -2 and q = -3
Answer:
p = -2
q = -3
Step-by-step explanation:
Let us get the equation of the two graphs
General equation form is;
y = mx + b
m is slope and b is the y-intercept
For the first one;
y intercept is 1
So the equation is;
y = mx + 1
The x-intercept is -2
the value of y at the x-intercept is 0
0 = -2m + 1
1 = 2m
m = 1/2
so;
1/2 * p
p/2
q added to y-intercept;
q + 1
Let us get the equation of the second plot
y-intercept is -2
Equation is;
y = mx - 2
We can get slope using x-intercept
x-intercept is -2
0 = -2m - 2
2m = -2
m = -1
So;
p/2 = -1
p = 2 * -1 = -2
For the value of q;
q + 1 = -2
q = -2-1 = -3
Divide. Write your answer as a fraction in simplest form. −7/2÷7/5=
Someone help
Which is the correct algebraic expression for each phrase? 15 miles less than Devra biked
A. d + 15
B. d – 15
C. 15 – d
D. 15 + d
Answer:
i would say it’s b because it makes more sense rather than 15-d
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Answer:
a. < less than
b. > greater than
c. > greater than
d. > greater than
e. < less than
Plzzzzz give me Brainliest!
How many 4 decilitre jugs are
needed to fill 8.4 litre container?
A 21
B. 2 100
C. 210
D. 33.6
Answer:
A=21
Step-by-step explanation:
4 decilitres= 0.4 litres
8.4/0.4=21
hi someone please help this is really urgent !!!
picture is attached pls help <3
Answer:
it can be answer that it could be posstive
Sorry about the handwriting I tried. But I need help
Choose the equation of the line through (4, -5) and perpendicular to 6x + 12y = 13.
A.y=-1/2x-3
B. y=1/2x-7
C. y=2x-13
D. None of these
Answer:
C.) y=2x-13
Step-by-step explanation:
Which expression is equivalent to 13 - (-21)?
Choose 1 answers
А
13 +21
B
-21 - 13
-13 +21
D
-21 +13
HURRY
help please!
Jackie deposited $315 into a bank account that earned 1.5% simple interest each year. No money was deposited into or withdrawn from the account.
How much money was in the account after 3 years?
Answer:
that is a whole lot of simple intrest
I need help. I have been searching for the answer but I cannot find the correct one. Elena rode her bike 2 miles in 10 minutes and 1 mile in 5. How many miles if it only took her 1 minute? Like how many miles would she have rode in 1 minute?
Answer:
0.2 miles
Step-by-step explanation:
From the above question:
2 miles = 10 minutes
Hence:
10 minutes = 2 miles
1 minute = x miles
Cross Multiply
10 minutes × x miles = 2 miles × 1 minute
x miles = 2 miles × 1 minute/10 minutes
x miles = 0.2 mile
Hence in 1 minute it would take her 0.2 miles