Answer:
The value is [tex]v = 49.23 \ mph[/tex]
Step-by-step explanation:
From the question we are told that
The distance from Jacksonville to Miami is d = 382 miles
The time it take to travel from Jacksonville to Daytona is [tex]t_1 = 1 \ hour\ and\ 54\ minutes = 1 + \frac{54}{60} = 1.9 \ hours[/tex]
The time it take to travel from Daytona Beach to Fort Pierce is [tex]t_2 = 2\ hours\ and\ 51\ minutes= 2 + \frac{51}{60} = 2.85 \ hours[/tex]
The time it take to travel from Fort Pierce to West Palm Beach is
[tex]t_3 = 1\ hour\ and\ 23\ minutes= 1 + \frac{23}{60} = 1.38 \ hours[/tex]
The time it take to travel from West Palm Beach to Miami [tex]t_4 = 1\ hour\ and\ 38\ minutes= 1 + \frac{38}{60} = 1.63 \ hours[/tex]
Generally the average speed is mathematically represented as
[tex]v = \frac{d}{t_1 + t_2 +t_3 + t_4 }[/tex]
=> [tex]v = \frac{382}{1.9 + 2.85 +1.38 + 1.63 }[/tex]
=> [tex]v = 49.23 \ mph[/tex]
HELP PLS helppppppppppppppppppppppppp
Answer:
The number of text messages is 85 ⇒ B
Step-by-step explanation:
To solve this question
Assume that the number of the text message is x and the total cost is yMake a linear equation represented each plan, then equate their total cost (y) to find the number of the text message (x)The form of the linear equation is y = m x + b, where
m is the rateb is the initial valuePlan A:
∵ The fee per message is $0.10
∴ m = 0.10
∵ The monthly fee is $35
∴ b = 35
∴ The total cost y = 0.10 x + 35
Plan B:
∵ The fee per message is $0.30
∴ m = 0.30
∵ The monthly fee is $18
∴ b = 18
∴ The total cost y = 0.30 x + 18
∵ Both plans cost is the same for one month
→ Equate the right sides of the two equations
∴ 0.30 x + 18 = 0.10 x + 35
→ Subtract 0.10 x from both sides
∴ 0.30 x - 0.10 x + 18 = 0.10 x - 0.10 x + 35
∴ 0.20 x + 18 = 35
→ Subtract 18 from both sides
∴ 0.20 x + 18 - 18 = 35 - 18
∴ 0.20 x = 17
→ Divide both sides by 0.20
∴ [tex]\frac{0.20x}{0.20}=\frac{17}{0.20}[/tex]
∴ x = 85
∴ The number of text messages is 85
Which equation represents a line that is parallel to the
line shown on the graph?
Answer:
I need a picture or example to answer
Step-by-step explanation:
6.) Consider the functions f(x) = -2x + 1 and g(x) = 4x - 5
find f(3)
Answer:
[tex]f(3)=-5[/tex]
Step-by-step explanation:
We have the functions [tex]f(x)=-2x+1[/tex] and [tex]g(x)=4x-5[/tex]
We want to find [tex]f(3)[/tex]. So, we can use our first function.
Substitute 3 for x. This yields:
[tex]f(3)=-2(3)+1[/tex]
Multiply:
[tex]f(3)=-6+1[/tex]
Add:
[tex]f(3)=-5[/tex]
So:
[tex]f(3)=-5[/tex]
An Internet reaction time test asks subjects to click their mouse button as soon as a light flashes on the screen. The light is programmed to go on at a randomly selected time after the subject clicks "Start." The density curve models the amount of time the subject has to wait for the light to flash. a. What height must the density curve have? Justify your answer. b. About what percent of the time will the light flash more than 3.75 seconds after the subject clicks "Start"? c. Calculate and interpret the 38th percentile of this distribution.
Using the uniform distribution, it is found that:
a) The height of the density curve is of 0.25.
b) 31.25% of the time will the light flash more than 3.75 seconds after the subject clicks "Start".
c) The 38th percentile of this distribution is of 2.52 seconds. It means that 38% of the time, the light will go on in at most 2.52 seconds.
Uniform distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
In this problem, uniform between 1 and 5, hence [tex]a = 1, b = 5[/tex]
Item a:
The height of the uniform distribution is:
[tex]h = \frac{1}{b - a}[/tex]
Hence:
[tex]h = \frac{1}{5 - 1} = 0.25[/tex]
Item b:
[tex]P(X > 3.75) = \frac{5 - 3.75}{5 - 1} = 0.3125[/tex]
0.3125 x 100% = 31.25%
31.25% of the time will the light flash more than 3.75 seconds after the subject clicks "Start".
Item c:
The 38% percentile is x for which P(X < x) = 0.38, hence:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
[tex]0.38 = \frac{x - 1}{4}[/tex]
[tex]x - 1 = 4(0.38)[/tex]
[tex]x = 2.52[/tex]
The 38th percentile of this distribution is of 2.52 seconds. It means that 38% of the time, the light will go on in at most 2.52 seconds.
A similar problem is given at https://brainly.com/question/15855314
Write the equation of a line that is perpendicular to y=1/2x-6 that passes through the point (6,4)
Answer:
y=-2x
Step-by-step explanation:
Hope this helps! :)
please answer and show
Answer:
[tex]x\in (-\infty,11][/tex]
Step-by-step explanation:
Inequalities
Solve the following inequality:
[tex]-3x+14\ge 3-2x[/tex]
Adding 2x:
[tex]-3x+14+2x\ge 3[/tex]
Subtracting 14:
[tex]-3x+2x\ge 3-14[/tex]
Operating:
[tex]-x\ge -11[/tex]
Multiplying by -1 and flipping the sign:
[tex]x\le 11[/tex]
Solution:
[tex]\boxed{x\in (-\infty,11]}[/tex]
plz someone help on this question
Answer:
Hi there!
Your answer is:
1050 liters per 6 days
Step-by-step explanation:
350liters per 2 days
*3 to determine 6 days
1050 liters per 6 days
Hope this helps
Answer:
1050
Step-by-step explanation:
350 liters per 2 days
to get 6 days you will need to multiple 2 by 3
you need to do that to 350 too
350 x 3 = 1050
your ration is 350:2
make it to
1050:6
let me know if you need more help
Help please on number 2 math problem.
Answer:
Its's $3 for an adult ticket and $1 for a student ticket
Step-by-step explanation:
Order -3, 5, 16, and -10 from least to greatest.
Answer:
-10, -3, 5, 16
Step-by-step explanation:
even though the negative number (10) might seem big, but its not
Answer:
-10,-3,5,16
Step-by-step explanation:
-10 is 10 times smaller than 1
-3 is 3 times smaller than 1
5 is 5 times bigger than 1
16 is 16 times bigger than 1
Find the missing side and angle indicated in the picture. Round your answers to the nearest tenth.
Enter your answer as equations separated by a comma.
Answer:
AC = 30 in
m∠B = 36,9°
m∠A = 53,1°
Step-by-step explanation:
1 AC
You gan get AC with the pythagorean theorem:
a²+b²=c²
We are looking for side b of the triangle, so the equation is rearranged for b.
BC²+AC²=AB² | -BC²
AC²=AB²-BC²
AC=√(AB²-BC²)
Now the given values are used:
b=√(50²-40²)
b=√(2500-1600)
b=√900
b=30 in
2 m∠B
This angle can be calculated using the sine law:
sine(angle)=opposite cathete/hypothenus
We are looking for angle m∠B of the triangle.
sin(m∠B)=AC/AB
sin(m∠B)=30in/50in
sin(m∠B)=0,6
m∠B=36,9°
3 m∠A
This angle can be calculated using the sine law:
sine(angle)=opposite cathete/hypothenus
We are looking for angle m∠A of the triangle.
sin(m∠A)=BC/AB
sin(m∠A)=40in/50in
sin(m∠A)=0,8
m∠A=53,1°
is 0.007 times 10 equivalent to 0.07
Answer:
Yes they are equivalent since you multiply by 10, you move the decimal place one spot to the right. It is very simple.
Step-by-step explanation:
Hope I could help :D
the price of an ink cartridge for scott's printer has decreased from $15.00 to $12.00. what is the percent of decrease?
a. 20%
b. 25%
c. 50%
d. 80%
Answer:
a
Step-by-step explanation:
15*20%=3
15-3=12
Maya bought a dozen specialty donuts at the bakery for $18. She purchased a mixture of frosted donuts for $2 each, glazed donuts for $1 each, and custard filled donuts for $5 each. If Maya purchased twice as many frosted donuts as custard filled donuts, how many of each type of donut did she buy? Variables: mixture of frosted donuts X y = glazed donuts Z = custard filled donuts System: System in standard form:
Answer:
The quantity of frosted donuts = 2
The quantity of glazed donuts = 9
The quantity of custard filled donuts = 1
Step-by-step explanation:
Let the quantity of frosted donuts = [tex]x[/tex]
Let the quantity of glazed donuts = [tex]y[/tex]
Let the quantity of custard filled donuts = [tex]z[/tex]
As per question statements, following equations can be made:
[tex]x+y+z=12......(1)\\2x+y+5z=18.....(2)\\x=2z ...... (3)[/tex]
Putting [tex]x=2x[/tex] in (1) and (2):
[tex]y+3z=12 .... (4)\\y+9z=18 .... (5)[/tex]
Subtracting (4) from (5):
[tex]6z=6\\\Rightarrow z =\bold{1}[/tex]
By equation (3):
[tex]x=\bold{2}[/tex]
By equation (1):
[tex]y=\bold{9}[/tex]
Therefore, the answers are:
The quantity of frosted donuts = 2
The quantity of glazed donuts = 9
The quantity of custard filled donuts = 1
Paul bought 2.25 meters of wood to make 5 shelves of equal length . What is the length of each shelf ? show your work on a picece of paper
Answer:
Length of each shelf is 0.45 meters
Step-by-step explanation:
Given
[tex]Total\ Length = 2.25\ meters[/tex]
[tex]Shelves = 5[/tex]
Required
Determine the length of each shelf
This is calculated by dividing the total length by number of shelves as thus:
[tex]Length = Total\ Length/Number\ of\ Shelf[/tex]
[tex]Length = 2.25m /5[/tex]
[tex]Length = 0.45m[/tex]
Hence;
Length of each shelf is 0.45 meters
Answer:
0.45
Step-by-step explanation:
Which is the answer please?
Answer:
where is the answer
Step-by-step explanation:
x and y intercepts for -4x+2y=6
Answer:
y-intercept = 3
x- intercept = -1.5
Step-by-step explanation:
-4x + 2y = 6
+4x + 4x
2y = 4x + 6
2 2
y = 2x + 3
Graph then you would get the coordinates of (0, 3) and (-1.5, 0)
Answer:
x intercept: (-3/2,0)
y intercept:(0,3)
Step-by-step explanation:
help this is overdue
35 <7(2−b) or 13(15b−12)≥21
35 < 7 ( 2-b ) or 13 ( 15b-12)>= 21
35 < 14 - 7b or 195 b - 156 >= 2
35-14<-7b or 195b >= 2 + 156
21 < -7b or 195 b >= 158
b < 21/-7 or b>= 158/195
b < -3 or b >= 158/195
The simplification form of the inequality 35 <7(2−b) or 13(15b−12)≥21 is b < -3 or b ≥ 158/195.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.
It is given that:
The inequality is:
35 < 7(2 − b) or 13(15b − 12) ≥ 21
After simplification:
35 < 14 - 7b or 195 b - 156 ≥ 2 (using distributive property)
35-14<-7b or 195b ≥ 2 + 156
21 < -7b or 195 b ≥ 158
b < 21/-7 or b ≥ 158/195 (division property of equality)
b < -3 or b ≥ 158/195
Thus, the simplification form of the inequality 35 <7(2−b) or 13(15b−12)≥21 is b < -3 or b ≥ 158/195.
Learn more about the inequality here:
brainly.com/question/19491153
#SPJ2
please help me with this one
Which of the following graphs represents the equation y=2x−3?
Answer:
D. (the one in the right hand bottom corner)
Answer:
Bottom right
Step-by-step explanation:
The equation is y = 2x - 3
2 represents the slope
-3 represents the y-intercept
The y-intercept is when x = 0
So first, we look at the graphs and find the graphs that display when x = 0, y = -3 aka (0, -3)
From this, we can deduce the two graphs on the left side are wrong
It must be the two on the right
Now we figure out which one has a slope of 2 aka rise over run = 2/1
Which graph goes up (rises) 2 units and goes forward (runs) 1 unit?
The top right graph depicts a slope of 1/2, not 2/1 so this is incorrect
The bottom right graph displays a slope of 2/1 aka 2
Bottom right graph is the correct answer
Write 50,170,000,000 in scientific notation
Answer:
lrrjrklrk
krknfene
lrrjrklrk
Step-by-step explanation:
krknfene
lrrjrklrk
krknfene
Answer:
the scientific notation is
5.017E10
. A random sample of 100 children with working mothers showed that they were absent from school an average of 6 days per term with a standard deviation of 1.6 days. Provide a 98% confidence interval for the average number of days absent per term for all the children. a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points) b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)
Answer:
a) The equation is:
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
b) The 98% confidence interval = (5.62784, 6.37216)
Step-by-step explanation:
a. Write down the equation you should use to construct the confidence interval for the average number of days absent per term for all the children. (10 points)
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
b. Determine a 98% confidence interval estimate for the average number of days absent per term for all the children. (10 points)
Confidence Interval = Mean ± Z score × Standard deviation/√Number of samples
Mean = 6 days
Standard deviation = 1.6 days
Number of samples = 100
Z score of 98% confidence interval = 2.326
Confidence interval = 6 ± 2.326 × 1.6/√100
= 6 ± 2.326 × 1.6/10
= 6 ± 0.37216
= 6 - 0.37216
= 5.62784
6 + 0.37216
= 6.37216
Therefore, the 98% confidence interval = (5.62784, 6.37216)
A shape is shown on the graph
Which of the following is a reflection of a shape?(50 points)
A coordinate grid is shown from positive 8 to negative 8 on the x-axis and from positive 8 to negative 8 on the y-axis. A triangle is shown on ordered pair 2, 2 and 4, 2 and 2, 6.
Step-by-step explanation:
.
क. गाय
(D द्रव्यवा चक संज्ञा का उदाहरण कौन सा है?
ख. दूध क. गाय
ग. पंखा
घ. सेना।
कौन सा शब्द समूहवाचक संज्ञा नहीं हैं?
फ. भीड़ख ख. कक्षा
ग. सेना
घ. चिड़िया ।
6 ताजमहल आगरा में स्थित है। रेखांकित शब्द की
संजा बताइए?
क. व्यक्तिवाचक संज्ञा ख. जातिवाचक संज्ञा ।
ग. भाववाचक संज्ञा घ. समूहवाचक संज्ञा ।
Answer:
I dont know how to read hindi can u pls translate it into English
90 minus 50 divided by 5 times 6 plus 2
Anwer:32
Step-by-step explanation:
Answer:
32
Step-by-step explanation:
To find out what to do first, use PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition, ans Subtraction)
Now it should look like this: (90-((50/5)*6)) + 2
First, divide 50 by 5 and get 10
So now it will be like this: (90-(10 x 6) + 2
Next, multiply 10 by 6 and you'll get 60.
The problem is looks like this: (90 - 60) + 2
Then, subtract 60 from 90 and get 30.
30 + 2
Lastly, add 30 and 2 to get 30.
Hope this helps.
Evaluate the function.
f(x) = -x^2+ 7x - 13
Find f(-3)
f(x)=-7x2+8x+2 how many x-intercepts does the graph of f have
The graph has 2 intercepts, as it is a parabola with a degree of 2.
Which is bigger 9 to the 27th power or 3 to the 81 power
On a map,1/2 inch represents 50 miles. how many miles per inch are represented on the map? PLEASE HELP! My teacher will kill me!
Answer:
WEll first show the MAP. Then I will help.
Step-by-step explanation:
Answer:
100 miles
Step-by-step explanation:
Half an inch is.. half of an inch. If you want to find out how many miles per inch there are, multiply the amount of miles for every half inch (50) by 2.
Simplify the equation
can y'all pleas help me with this
Answer:
B
Step-by-step explanation:
Siri said thats right
Answer:
-18
Step-by-step explanation:
the square root of 324 is 18, so you add the negative sign, and get your answer
