Alicia and Bennie have decided to play a game. They each draw as many flowers on paper as they can within one minute, repeating this game many times. The number of flowers Alicia draws and the number of flowers Bennie draws are independent. The number of flowers Alicia draws within 1 minute, A, is approximately Normally distributed with a mean of 38 flowers and a standard deviation of 1.8 flowers. The number of flowers Bennie draws in 1 minute, B, is approximately Normally distributed with a mean of 41 and a standard deviation of 2.6 flowers. Let D represent the difference, A – B, in the number of Alicia’s and Bennie’s flowers drawn in 1 minute.
What is the probability that Alicia draws fewer flowers than Bennie in any 1 minute?
Answer:
Because The Flowers Bennie drew are independent
Answer:
0.829
Step-by-step explanation:
Question 5. Bob Orleans invested $3,000 and borrowed $3,000 to purchase shares in Verizon Communications. At the time of his investment, Verizon was selling for $47 a share.
o If Bob paid a $30 commission, how many shares could he buy if he used only his own money and did not use margin?
o If Bob paid a $60 commission, how many shares could he buy if he used his $3,000 and borrowed $3,000 on margin to buy Verizon stock?
o Assume Bob did use margin and paid a $60 total commission to buy his Verizon stock. Also, assume he paid another $60 to sell his stock and sold the stock for $54 a share. How much profit did he make on his Verizon stock investment?
The number of shares could he buy is 63.19 and 126.38. Then the profit gained by Bob is $764.68.
What is the profit gained by Bob?
Bob Orleans invested $3,000 and borrowed $3,000 to purchase shares in Verizon Communications.
At the time of his investment, Verizon was selling for $47 a share.
If Bob paid a $30 commission, then the number of shares could he buy if he used only his own money and did not use margin.
[tex]\rightarrow \dfrac{3000- 30}{47}\\\\\rightarrow \dfrac{2970}{47}\\\\\rightarrow 63.19[/tex]
If Bob paid a $60 commission, then the number of shares could he buy if he used his $3,000 and borrowed $3,000 on margin to buy Verizon stock will be
[tex]\rightarrow \dfrac{6000 - 60 }{47}\\\\\rightarrow \dfrac{5940}{47}\\\\\rightarrow 126.38[/tex]
Assume Bob did use margin and paid a $60 total commission to buy his Verizon stock. Also, assume he paid another $60 to sell his stock and sold the stock for $54 a share. Then the profit will be
[tex]\rightarrow (126.38 \times 54 - 60) - (6000)\\\\\rightarrow (6824.68 - 60) - 6000\\\\\rightarrow 6764.68 - 6000\\\\\rightarrow \$764.68[/tex]
More about the profit link is given below.
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What percentage of times are between 6 and 22 hours?
16%
68%
95%
99.7%
Answer:
16 percent of times are between 6 and 22
Answer: c I think. Sorry I'm wrong. Might be a.
Step-by-step explanation:
For 1.8 hours, Layla drove her car east at a constant velocity. In this time, she drove 99 kilo meters and passed a motorcycle that was driving at 45 kilo meters per hour. What was her car's velocity?
Write your answer as a whole number.
kilo meters per hour to the east
Answer:
55 km/hr
Step-by-step explanation:
speed = distance / time
distance = 99 km
time = 1.8 hours
velocity = 99 km/ 1.8 hours= 55 km/hr
since distance is to the east, the velocity is also to the east
A building contractor is to dig a foundation 12 feet long, 9 feet wide, and 6 feet deep for a toll booth. The contractor pays $180 per load for trucks to remove the dirt. Each truck holds 6 cubic yards. What is the cost to the contractor to have all the dirt hauled away?
The cost for the contractor to have all the dirt hauled away for a foundation of 12 feet long, 9 feet wide and 6 feet deep is $720
Volume of rectangular prism
volume of a rectangular prism = lwh
where
l = lengthw = widthh = heightTherefore,
l = 12 ft
w = 9 ft
h = 6 ft
volume of the foundation = 12 × 9 × 6
volume of the foundation = 648 ft³
Therefore, the contractor pays $180 per load for the trucks remove the dirt.
648 cubic feet = 24 cubic yard
6 cubic yards = 1 truck load
24 cubic yard =
cross multiply
number of truck load = 24 / 6 = 4 truck loads
Hence,
1 truck load = $180
4 truck load =?
cross multiply
cost = 4 × 180 = $720
learn more on volume here: https://brainly.com/question/3008257
About 75% of the girls in grade 7 at Grande Rock Middle School prefer colored jeans to the regular blue ones. The randomly generated numbers in the table simulate this situation. The letter C represents colored jeans, and B represents blue jeans. CCCBC BBCCC CCBBC CCBBC CCCCC CCCCC BCCCC CBCCC CCCCB CCCCC BBCCC CCCBB CCCCC CBCCC BCCBC CCCBB BCCCC CCCCB CCCBC CCBCC Based on the data, the estimated probability that exactly four out of five girls prefer colored jeans is .
Answer:
To find this you do 5 x 0.75
0.75 represents the amount of girls that represent colored jeans
So the answer is 3.75
Step-by-step explanation:
Hope this helps!
Find the mean 3,4,4,2,5,7,2
Which pair or pairs of polygons are congruent?
pair 1
pair 2
pair 3
Answer:
C
Step-by-step explanation:
Tabp rest with friends. How many sweets will she give to her friends? 18 13. A train arrives at the station with 150 passengers on board. 25 of the passengers get off the train in Spanish town, and then 35 passengers board the train. How many passengers are on the train when it leaves the station? * Yout Youyanswer 14.30 people watched the soccer game last night. Tickets cost $2.75 each. Half of these fans bought a program at $1.50 each. How much money was collected?
Answer: it is 205 I'm not sure if it's correct or not
2. What is the value of the expression?
2.4 +3.5 x 1.7
A 7.99
B 8.35
С
9.42
D
10.03
Show your work
Answer Choice:
Answer:
B. 8.35
Step-by-step explanation:
3.5 x 1.7 = 5.95
5.95 + 2.4 = 8.35
You multiply first because of PEMDAS.
P=parenthesis
E=exponents
M=multiply
D=divide
A=add
S=subtract
What would be your first step in solving -3x > 0?
A. multiply both sides by -3 and flip your sign
B. divide both sides by -3 and flip your sign
C. multiply both sides by 3 and flip your sign
D. divide both sides by 3 and flip your sign
Answer:
I would divide both sides by -3 then flip your sign since it is a multiplication equation in -3x which means you have to isolate it to find x.
Answer:
D
Step-by-step explanation:
You divide both sides by 3 and then you flip the sign.
Mato is making a leather belt inlaid with beads. On the first day there were b beads on the belt. On
the fourth day, there were b³ beads on the same belt. There were 216 beads on the belt on the
fourth day.
How many beads were on the belt on the first day?
Answer:
6
Step-by-step explanation:
On the fourth day, there were b^3 beads and 216 beads on the belt, which means b^3 = 216. Taking the cube root of both sides, we have b = 6, which means there were 6 beads on the belt on the first day.
Answer:
6
Step-by-step explanation:
Les gusta mi dibujo soy nueva
Answer:
Si, es muy bueno!
Step-by-step explanation:
How can I solve that problem
What do we know so far:
[tex]2\frac{2}{3}laps[/tex] in [tex]\frac{4}{15}hour[/tex] ⇒ [tex]\frac{8}{3}laps[/tex] in [tex]\frac{4}{15}hour[/tex]*we converted the number of laps into improper fractions
[tex]2\frac{2}{3} = \frac{8}{3}[/tex]
We want to know the number of laps in an hour
⇒ so we must find the rate which ⇒ lap/hour
[tex]lap/hour =\frac{8/3laps}{4/15hours} =\frac{8}{3}*\frac{15}{4} =\frac{8}{4} *\frac{15}{3} =2*5=10laps/hour[/tex]
So William can run ⇒ 10 laps in one hour
Hope that helps!
Need to show work for my answer working on limits
Answer:
[tex]\displaystyle \lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4} = - \infty[/tex]
General Formulas and Concepts:
Calculus
Limits
Limit Rule [Variable Direct Substitution]:
[tex]\displaystyle \lim_{x \to c} x = c[/tex]
Step-by-step explanation:
Step 1: Define
Identify given.
[tex]\displaystyle \lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4}[/tex]
Step 2: Evaluate
[Limit] Simplify:Recall that infinity in the denominator converges to 0. Therefore, we can focus on the first part:
[tex]\displaystyle \begin{aligned}\lim_{x \to \infty} \frac{-4x^8 + x^3 - x + 7}{x^4} & = -4(\infty)^4 + \frac{1}{\infty} - \frac{1}{(\infty)^3} + \frac{7}{(\infty)^4} \\& = -4(\infty)^4 \\& = -4(\infty) \\& = \boxed{- \infty} \\\end{aligned}[/tex]
∴ we have found the limit to equal negative infinity.
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Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Please help me i litterally can not figure this out way to many numbers.
Answer:
A,C and E
Step-by-step explanation:
For every 3ml of vinegar we have 8ml of oil
This implies that
For case (A):
80ml of oil with 30ml of vinegar
dividing the amount of vinegar by 3 and multiplying the result by 8 gives 80 I.e
[tex]8ml (oil)\alpha 3ml(vinegar) \\ \frac{30ml(vinegar)}{2} = 10 \\ multiplying \: by \: 8 \: gives \: 80ml(oil)[/tex]
hence that's it
The number of wins in the American Baseball League, Central Division, for a recent year is given in the table. Find the mean number of wins. Round your answer to one decimal place.
The mean number of wins for the five teams is ______wins?
Answer:
81
Step-by-step explanation:
Average | x = 81
Count | n = 5
Sum | Sum = 405
Solution:
The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.
Average = Sum / Count
= 405 / 5
= 81
help me with this plssss
Prove the trigonometric identity!
Please help!! 50 Points!
Answer:
:)
Step-by-step explanation:
For simplicity I will substitue [tex]x[/tex] for β.
[tex]1-sin(2x)=(cosx-sinx)^2\\1-2sin(x)cos(x)=cos^2x-2sin(x)cos(x)+sin^2x\\1=cos^2(x)+sin^2(x)\\1=1[/tex]
In the first step I used the identity
[tex]sin(2x)=2sin(x)cos(x)[/tex]
And I factored out [tex](cosx-sinx)^2[/tex]
Then it's just simple algebra to cancel till the 3rd step where we used another identity derived from the Pythagorean Theorem.
[tex]cos^2(x)+sin^2(x)=1[/tex]
That's it!
Please help i have an assignment due TODAY i need to get this done
rules:
NO LINKS! im not getting myself a virus
Answer:
i think it is diameter
Step-by-step explanation:
if you are in England
Answer:
CHORD
Step-by-step explanation:
A chord of a circle is any line segment joining two points on the circumference of the circle
(Diameter is the longest chord of a circle which passes through the center of the circle)
Since this line does not pass through the center,this is a chord
NO LINKS!! Graph the following rational functions. Please show all of the work
Answer:
To graph rational functions:
Find any asymptotes (draw them as dotted lines, unless they are x and y axis)Find any x-intercept(s) and y-interceptFind the values of y for different values of xPlot the points and connect them with a smooth curvePart (a)[tex]\textsf{Asymptote} \implies (x+3)^2=0 \implies x=-3[/tex]
[tex](x+3)^2\geq 0 \implies f(x) > 0 \implies \textsf{asymptote}:y=0[/tex]
[tex]\textsf{y-intercept}\implies \dfrac{1}{(0+3)^2}=\dfrac{1}{9} \implies \left(0,\dfrac{1}{9}\right)[/tex]
Part (b)[tex]\textsf{Factor denominator} \implies x^2+2x-3=(x-1)(x+3)[/tex]
[tex]\textsf{Asymptote} \implies x-1=0 \implies x=1[/tex]
[tex]\textsf{Asymptote} \implies x+3=0 \implies x=-3[/tex]
[tex]\textsf{x-intercept} \implies x+1=0 \implies x=-1 \implies (-1,0)[/tex]
[tex]\textsf{y-intercept}\implies \dfrac{0+1}{0^2+2(0)-3}=-\dfrac{1}{3} \implies \left(0,-\dfrac{1}{3}\right)[/tex]
Part (c)[tex]\textsf{Asymptote} \implies x-2=0 \implies x=2[/tex]
[tex]\textsf{x-intercepts} \implies x^2-9=0 \implies x=\pm 3 \implies (-3,0)\:(3,0)[/tex]
[tex]\textsf{y-intercept}\implies \dfrac{0^2-9}{0-2}=\dfrac{-9}{-2}=4.5 \implies (0,4.5)[/tex]
Saul has 8 bags. He records the weight of each bag on the line plot.
What is the total weight of the three heaviest bags?
Answer:
24
Step-by-step explanation:
just MultiplMultiply 8 times 3 and 24
The length of a rectangle is 4 meters less than
wice its width. The area of the rectangle is 70.
Find the
of the rectangle.
dimensions
North of Carthage is this, it is a shallow evaporate lake:
A. Rub al-Khali
B. None of these
C. Sebkhet Arina
D. Sebkhet Qaddafi
Answer:
b none of these..........
A triangle has one angle that is 70 degrees and another that is 75 degrees. What is the third angle value in degrees?
Answer:
35 degrees is the third angle's value.
The sides of an isosceles triangle are28 ,28 ,10 and long. What is the area of the triangle?
Answer: Approximately 137.74977 square units
===================================================
Explanation:
We can use Heron's formula to find the area of a triangle when given all three sides.
First we need the semiperimeter
s = semiperimeter
s = (perimeter)/2
s = (a+b+c)/2
s = (28+28+10)/2
s = 33
Now we can compute the area of the triangle.
[tex]A = \sqrt{s(s-a)(s-b)(s-c)}\\\\A = \sqrt{33(33-28)(33-28)(33-10)}\\\\A = \sqrt{18975}\\\\A \approx 137.74977\\\\[/tex]
Anyone know how to round 2.5678 round to the nearest half
Answer:
2.5678 to the nearest half is 13,000
Answer: I think it would be 5 1/2 or 5.5 Fraction and decimal
Step-by-step explanation: Hope this helps! :)
expression represents the product of b and 34?
Answer:
b*34
Step-by-step explanation:
an expression does not include an equal sign but an equation does
answer choices 3/5, 9/16, 8/15 3/4
The clock shows when the soccer game ended what time was it The hour hand is on the 10 and the mini hands on the five
Answer:
10:25
Step-by-step explanation: