Complete question :
Between 12:00 PM and 1:00 PM, cars arrive at Citibank’s drive-thru at the rate of 6 cars per hour (0.1 car per minute). The following formula from statistics can be used to determine the probability that a car will arrive within t minutes of 12:00 PM. F(t)=1−e^−0.1t
Determine how many minutes are needed for the probability to reach 80%.
Answer:
16.09 minutes
Step-by-step explanation:
Given the function :
F(t)=1−e^−0.1t
To attain 80% probability ; 80% = 0.8
0.8 = 1 - e^-0.1t
0.8 - 1 = - e^-0.1t
-0.2 = - e^-0.1t
Take the In of both sides
In(0.2) = In( e^-0.1t)
−1.609437 = - 0.1t
Divide both sides by - 0.1
−1.609437 / -0.1 = - 0.1t / 0.1
16.09 = t
Hence, the time it'll take will be 16.09 minutes
Answer:
80/100=0.80
.8=1-e^-0.3t
.8+1=-e^-0.3t
1.8=-e^-.3t
t=5.36
Step-by-step explanation:
b) The graph of y = x^2 + 1 is drawn on
the axes on the left.
Use the graph to estimate the
values of x when y = 4.
Give your answers to 1 decimal
place.
Answer:
(-1.7,1.7)
Step-by-step explanation:
OK, first draw the line y=4.
It's a bit misleading- where you think 4 should go is actually 2!
Check the scale and draw down where the two points meet on the line. They should be the same.
You get -1.7 and 1.7
The value of x is [tex]x=\pm\sqrt{3}[/tex]
Graph of parabola:The given function is;
[tex]y=x^{2} +1[/tex]
We have to find value of x when [tex]y=4[/tex]
[tex]y=x^{2} +1\\\\4=x^{2} +1\\\\x^{2} =4-1=3\\\\x=\pm\sqrt{3}[/tex]
Graph is also attached below.
Learn more about the parabola here:
https://brainly.com/question/12896871
What is the Mode? 21,28.27.26.27.27.33.28.26.31
Answer:
The mode is 27.
Step-by-step explanation:
To find the mode we must first put them in order from least to greatest.
21, 26, 26, 27, 27, 27, 28, 28, 31, 33
The mode means the most common number out of the data. Therefore since 27 is the most common number, it is the mode.
Hey there!
The mode is basically the number you see MORE THAN ONCE.
So, the numbers in your data plot is/are
“21, 28, 27, 26, 27, 27, 33, 28, 26, 31”
(I’m assuming)
21 is shown ONE TIME
28 is shown TWO TIMES
27 is shown THREE TIMES
26 is shown TWO TIMES
33 is shown ONE TIME
31 is shown ONE TIME
THE BIGGEST ONE THAT’S SHOWN IS: 27 because it was shown in your data plot three times
Answer: 27
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please help me i need to turn this in by the end of the day
Answer:
n must be greater than 5 for the product to be greater than 10.
Step-by-step explanation:
10 times 2/5 = 4 (no)
10 times 6/5 = 12 (yes)
10 times 5/5 = 10 (no)
Answer:
The 3rd one I believe
Step-by-step explanation:
The total cost of 5 boxes of pasta is $13.00. There are 12 ounces of pasta in each box. Each box of past costs the same amount.
What is the cost, in dollars, of the minimum number of boxes needed to total 48 ounces of pasta?
Answer:
minimum =4 cost= 10.40
Step-by-step explanation:
hope this helps:))
plz tell answer for 33 pnts but dont scam
Answer:
(i)
Given
∠BED = ∠BACAlso we see that
∠ABC = ∠DBE as refer to same angleSince two angles of triangles are congruent, the triangles are similar by AA similarity postulate
ΔABC ~ ΔEBD(ii)
In similar figures corresponding parts have same ratio. Use ratios to find the value of x:
AB/EB = AC/ED12/8 = x / 4x = 4*12/8x = 6 cmGuys pls help me!!!!!
Answer:
Fourth
Step-by-step explanation:
This isn’t high school math by the way.
The circled object is number 4 in the sequence of the object, thus, being the fourth object.
27 students are going on a field trip and 1 student is staying at school. What is the ratio of
the number of students who are staying at school to the number of students who are going
on the field trip?
Answer: 1/28
Step-by-step explanation:
What is the circumference of a circle with a radius of 6 inches?
Answer:
37.7in
Step-by-step explanation:
C=2πr=2·π·6≈37.69911in
Answer:
37.6 (simplified)
Step-by-step explanation:
The formula for circumference is 2[tex]\pi[/tex]*r. Simply replace r with 6 and multiply from there. Normally you would simplify pi down to 3.14 as well.
What is the mean? If the answer is a decimal, round it to the nearest tenth.
-4 ,4 ,6 ,-7 ,7, 10, 7,9
Answer:
The mean is 4 if im correct.
Answer:
4
Step-by-step explanation:
-4+4+6+-7+7+10+7+9=32
32/8=4
How many solutions does this equation have?
8z − 5 = 8z
Answer:
Zero
Step-by-step explanation:
Solve the equation by subtracting 8z from both sides:
8z − 5 = 8z
-5 = 0
-5 [tex]\neq[/tex] 0
This is a false statement, because -5 is not equal to zero.
This means that there are no solutions to the equation.
So, the equation has zero solutions
Because both sides of the equation have the same variable ( they both have 8x) this equation does not have any solutions.
Please need help evaluate the math problems
x + y when x = 6 and y = 2
6 + 2 = 8
[tex]\frac{9x+24}{4}[/tex] when x = 12 and y = 20
[tex]\frac{148}{4}[/tex] = 37
[tex]\frac{6m}{n}[/tex] when m = 12 and n = 3
[tex]\frac{72}{3}[/tex] = 24
Six times x
6x
Six increased by x
6 + x
The sum of x and y
x + y
helppppppppppppppppppppp
Answer:
1/3
Step-by-step explanation:
because the x axis or horizontal line intersex the line
Answer:
help is done...........................
Which transformations are needed to change the parent cosine function to y = 3 cosine (10 (x minus pi))?
Answer:
See Explanation
Step-by-step explanation:
Given
New function: [tex]y = 3 \cos(10 (x -\pi))[/tex]
We can assume the parent function to be:
[tex]y = \cos (x)[/tex]
The new function can be represented as:
[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex]
Where
A = Vertical stretch factor
B = Period
C = Right shift
By comparison:
[tex]y = A*\cos((\frac{2\pi}{B})(x-c))[/tex] to [tex]y = 3 \cos(10 (x -\pi))[/tex]
[tex]A = 3[/tex]
[tex]c = \pi[/tex]
[tex]\frac{2\pi}{B} = 10[/tex]
Solve for B
[tex]B = \frac{2\pi}{10}[/tex]
[tex]B = \frac{\pi}{5}[/tex]
Using the calculated values of [tex]A,\ B\ and\ c.[/tex] This implies that, the following transformations occur on the parent function:
Vertically stretched by [tex]3[/tex]Horizontally compressed by [tex]\frac{\pi}{5}[/tex]Right shifted by [tex]\pi[/tex]Jordan has a bag that contains orange chews, strawberry chews, and lime chews. He performs an experiment. Jordan randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jordan performs the experiment 61 times. The results are shown below: An orange chew was selected 11 times. A strawberry chew was selected 17 times. A lime chew was selected 33 times. Based on these results, express the probability that the next chew Jordan removes from the bag will be strawberry chew as a decimal to the nearest hundredth.
Answer:
17/61 or 0.27
Step-by-step explanation: 17 out of 61 times Jordan will pull out strawberry so the probability of pulling out a strawberry chew is 17/61 which is 0.27 as a decimal
Answer:
0.28
Step-by-step explanation:
0.278 rounded is 0.28
1) Find a formula for a sub n for the arithmetic sequence a sub 1 = 7, d = 12.
2) Write the first 5 terms of the geometric sequence a sub 1 = 2, r = 2.
Answer:
Step-by-step explanation:
nth term = a₁ + (n-1)d = 7 + (n-1)12
:::::
nth term = a₁rⁿ⁻¹ = 2×2ⁿ⁻¹ = 2ⁿ
a₁ = 2
a₂ = 4
a₃ = 8
a₄ = 16
a₅ = 32
Find the scale factor that was used
whats 2 +2 plss help me i need help
Help me with this please. .. . . . .
Answer:
Se attached
Step-by-step explanation:
Solution is in the picture
The table shows the balances for 3 bank accounts.
Use this information to complete the statements below.
At sunrise the temperature was -12 C. By sunset the temperature had increased 5 degrees. What is the temperature at sunset? *At sunset the temperature was 19 C. By sunrise the temperature had decreased 4 degrees. What is the temperature at sunrise?
Answer:
-17°C at sunset
15°C at sunrise
anyone know the answer?
what is the solution to the inequality 3x-42>3
Answer:
x > 15
Step-by-step explanation:
Try to get x on a side by itself...
3x - 42 > 3
3x > 45
x > 15
what is the x and y intercept of y=6x+13
Answer: x-intercept(s):
(-13/6,0)
y-intercept(s):
(0,13)
Step-by-step explanation:
Hey, if you can help I would love it.
Answer:
the answer is C
Step-by-step explanation:
the number line shows the numbers 70/100 - 80/100. the x appears 6 lines after 70/100 which is 0.76
suppose I have a 30, 60, 90 right triangle. The hypotenuse is 10 units long. How long are the other sides?
a) short leg = 5; long leg = 5 √2
b) short and long leg = 5 √2
c) short leg = 5; long leg = 5 √3
d) short leg = 5; long leg =8
Answer:
option c
Step-by-step explanation:
The angles are 30° , 60° , 90° . So its a right angled triangle . We can use trigo.
⇒ sin 30 = p/h
⇒ 1/2 = p/10
⇒ p = 10/2
⇒ p = 5
Using Cosine now ,
⇒ cos 30° = b/h
⇒ √3/2 = b/10
⇒ b = √3/2 × 10
⇒ b = 5√3
Short leg = 5Long leg = 5√3 Hence option C is correct.Answer:
c) short leg = 5; long leg = 5 √3
Step-by-step explanation:
How long are the other sides?
short leg = 5; long leg = 5 √3
The graph represents the length and
I height of a wheelchair ramp. Find the
slope of the ramp.
Answer: 1/4
Step-by-step explanation: Take point (1,1) put the rise (2) over the run (8) and then simplify.
Chloe made 8 out of 20 baskets in her basketball game. What is her
experimental probability? ???
10 would be 50% so 1 is 5% 5x8 =40
Her experimental probability is 40%
Jack is learning to save, spend, and give his money away. He has determined to give away 10% of his summer earnings. If he gives away 256 dollars, then how much did he each this summer?
Answer:
$2,560
Step-by-step explanation:
Just multiply 256 by 10, and you get his money earned.
What are the values of x and y, in the given figure?
I'll give brailiest to the first response
Answer:
y = 52
x = 5
Step-by-step explanation:
Side BC and Side BA are congruent sides ( indicated by the two dashed lines. )
This meaning that their opposite angles are also congruent
Side BC's opposite angle is ∠A and side BA's opposite angle is ∠C
Hence ∠A ≅ ∠C
And because ∠A = 52°, ∠C also equals 52°
Hence y = 52°
Now we want to find x
We can do this by creating an equation using the triangle angle rule which states that the angles in a triangle add up to equal 180
so...
180 = 14x + 6 + 52 + 52
now we solve for x
step 1 combine like terms
52 + 52 + 6 = 110
now we have 180 = 110 + 14x
step 2 subtract 110 from each side
180 - 110 = 70
110 - 110 cancels out
now we have 70 = 14x
step 3 divide each side by 14
14x/14 = x
70 / 14 = 5
we're left with x = 5
Find the slope of the line through the points (4,5) and (-7,6)
Answer:
m = -1/11
Step-by-step explanation:
m = rise/run = (y2-y1)/(x2-x1)