Justin traveled 70 miles from Boston to Hyannis in 1 hr and 45 minutes. He then traveled 10 more miles from Hyannis to Dennisport in 30 minutes.

What was Justin’s average speed on his was from Hyannis to Dennisport?

What was Justin’s average speed on his trip from Boston to Dennisport?

The confidence interval is between (48.2%, 57.7%)

Using the proportion formula expressed as:

[tex]CI=p\pm z\cdot \sqrt{\frac{p(1-p)}{n} }[/tex]

Get the proportion:

p = 320/600 = 0.53

[tex]z=\frac{x- \mu}{\sigma}[/tex]

[tex]z = \frac{320-240}{47}\\z=\frac{80}{47}\\z= 1.70[/tex]

Substitute into the formula to get the confidence interval to have:

[tex]CI=0.53\pm 1.7\cdot \sqrt{\frac{0.47}{600}}\\CI = 0.53\pm 0.04757\\CI = (0.53-0.04757, 0.53+0.04757)\\CI = (0.482, 0.577)[/tex]

Hence the confidence interval is between (48.2%, 57.7%)

Learn more on  confidence interval here: https://brainly.com/question/20066592

Answer:

Step-by-step explanation:

Question 4

we have two sides and an angle so we should use law of cosines to solve for c

[tex]7=\sqrt{5^2+c^2-2*5*c*cos(35)}\\\\49=25+c^2-10*c*cos(35)\\25=c^2-8.19152044289c\\c^2-8.19152044289-25=0\\[/tex]

(using the quadratic formula)

c=10.48131

To solve for b use the law of cosines again

[tex]5=\sqrt{7^2+10.48131^2-2*7*10.48131*cos(B)\\[/tex]

B=24.1858343432

Answer:

y = 5 x + 7

Step-by-step explanation:

Answer:

So first you can find a common denominator to make this equation solvable

in this case 4 is the common denominator

2/4+y=5 1/4

Now subtract to isolate the variable (y)

4 3/4 =y

9514 1404 393

Answer:

Step-by-step explanation:

In this context, "per" and "for" mean "divided by."

The given equation of the height of the tree is the equation of a straight line.

Reasons:

1. The equation of the tree's growth is presented as follows;

y = 20 + 2·x

The equation of the tree is in the form of the equation of a straight line,

which is, y = m·x + c

Where, by comparison, we have;

m = The slope = 2

c = The y-intercept = 20

y = The height of the tree

x = The time of measurement of the growth of the tree

Therefore;

Therefore, the tree grows by 2 units of the height each time period of measurement

Therefore, the tree was 20 units of the length measurement at the start of the record.

Learn more about the equation of a straight line here:

https://brainly.com/question/20898425

Answer:

Step-by-step explanation:

First Box: In the scenario, the slope represents

the growth rate of the tree per year.

Second Box: In the scenario, the y-intercept represents

the tree's initial height.

Answer:

orange divide by 3?

Step-by-step explanation:

looking at the graph, it looks like orange is 3x the length of black,

so black will be Orange/3

Answer:

In this example, you would need at least 7.9 pounds of wax to fill (25) 8 oz Candle Tins. It is a good idea to round up this number. It's always better to have a little wax left over than to not have enough!

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

0.8 Euros

Step-by-step explanation:

Per US Dollar means its a proportion that the question is asking for. So, you can do 200/250 and get the answer.

Answer:

Step-by-step explanation:

List out multiples for both 3.75 and 4.5

3.75+3.75=7.5

7.5+3.75=11.25

11.25+3.75=15

15+3.75=18.75

18.75+3.75=22.5

4.5+4.5=9

9+4.5=13.5

13.5+4.5=18

18+4.5=22.5

At 22.5 days will both computers scan at the same time

If computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days. It takes 22.5 days to be until both computers to run a virus scan at the same time again

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, two computers just scanned for viruses at the same time. Computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days.

We have to add the multiples of 3.75 days for computer A as,

3.75+3.75=7.5

7.5+3.75=11.25

11.25+3.75=15

15+3.75=18.75

18.75+3.75=22.5

For computer B

4.5+4.5=9

9+4.5=13.5

13.5+4.5=18

18+4.5=22.5

22.5 is the common multiple for both cases,

Thus, if computer A runs a virus scan every 3.75 days. Computer B runs a virus scan every 4.5 days. It takes 22.5 days to be until both computers to run a virus scan at the same time again.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ5

Answer:

He can grow 9 herbs.

Step-by-step explanation:

3rows x 3plant herbs per row = 9 herbs to grow

Hope this helps :)

Answer:

5/6+1/8 = 23/24

Step-by-step explanation:

The lowest common denominator here is the smallest denominator that can be divided evenly by both 6 and 8.  It is 24.  Note that 6 = 2·3 and that 8 = 2·2².  We use the factors 2³ and 3 to come up with the LCD 24.

Then 5/6 + 1/8 can be rewritten with this LCD as:

20/24 + 3/24 = 23/24

5/6+1/8 = 23/24

Answer:

110.00

Step-by-step explanation:

Answer:

40% * 71 = Markup price

40% of 71 is 28.4, so i added the two together and got 99.4

so...

$28.4 + $71 = $99.40

distance from the point to O, so it can never be negative so answer is

b.oppsite

Answer:

did u mean 7 minutes & 30 seconds or

do you need seperate percentage for each ???

Answer:

420 i think

Step-by-step explanation:

7 mins

7×60

=420

plus the 30sec

450 sec

450/3600×100

45000/3600

450/36

12.5

Answer:

8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

5 + 3 = 8

-Lexi

Answer:

B.O.D.M.A.S

Step-by-step explanation:

B: Bracket

O: Operation

D: Division

M: Multiplication

A: Addition

S: Subtraction

Follow these steps.

Hope you understand ^^

Answer:

Step-by-step explanation:

Answer:

50 hours

Step-by-step explanation:

Step-by-step explanation:

direct add the upper both numerator and bottom both denominator ,Then you will get the answer,Then reduce it to lowest form

sorry for bad english

edit:Wrong answer

2/9 + 5/12

LCM = 36

=》2/9 = 2×4/9×4 = 8/36

=》5/12 = 5×3/12×3 = 15/36

2/9 + 5/12

= 8/36 + 15/36 (LCM = 36)

= 23/36 -----> 2/9 + 5/12 with a common denominator.

________

Hope it helps ⚜

Answer:

29

Step-by-step explanation:

12000/425

Answer:

.923

Step-by-step explanation:

1.3 X 0.71 = .923

:))

As the hint suggests, convert to spherical coordinates using

x = p cos(u) sin(v)

y = p sin(u) sin(v)

z = p cos(v)

dV = dx dy dz = p² sin(v) dp du dv

Then U is the set

[tex]U = \left\{ (p,u,v) \mid 0\le p\le2 \text{ and } 0\le u\le \dfrac{\pi}2 \text{ and } 0\le v\le\dfrac{\pi}2\right\}[/tex]

and the integral of y over U is

[tex]\displaystyle \iiint_U y \, dV = \iiint_U p\sin(u)\sin(v) \cdot p^2 \sin(v) \, dV[/tex]

[tex]\displaystyle \iiint_U y \, dV = \int_0^{\frac\pi2} \int_0^{\frac\pi2} \int_0^2 p^3 \sin(u) \sin^2(v) \, dp \, du \, dv [/tex]

[tex] \displaystyle \iiint_U y \, dV = \frac{2^4-0^4}4 \int_0^{\frac\pi2} \int_0^{\frac\pi2} \sin(u) \sin^2(v) \, du \, dv [/tex]

[tex]\displaystyle \iiint_U y \, dV = 4 \cdot \left(-\cos\left(\frac\pi2\right) + \cos(0)\right) \int_0^{\frac\pi2} \sin^2(v) \, dv [/tex]

[tex]\displaystyle \iiint_U y \, dV = 4 \cdot \frac12 \int_0^{\frac\pi2} (1-\cos(2v)) \, dv [/tex]

[tex]\displaystyle \iiint_U y \, dV = 2 \left(\left(\frac\pi2 - \frac12 \sin\left(2\cdot\frac\pi2\right)\right) - \left(0 - \frac12 \sin\left(2\cdot0\right)\right) \right)[/tex]

[tex]\displaystyle \iiint_U y \, dV = \pi - \sin(\pi) = \boxed{\pi}[/tex]

~equality

x + 12 = x√+2

= x + 12 = √2 x

= x = √2 x - 12

= x - √2 x = -12

= (1 - √2)x = -12

= x = -12/1- √2

= x = -(-12(1 + √2))

= x = -(-12 - 12√12)

= x = 12 + 12√2 ✔️

~ nice to help you ^^

Answer:

-8

Step-by-step explanation:

u just do the 2x8 first

Hi! So in equations similar to this, you will need to use PEMDAS.

P - Parenthesis

E - Exponents

M - Multiplication

D - Division

A - Addition

S - Subtraction

Now that you know this, reevaluate your equation.

7-2x8+1

Firstly, you must multiply -2 and 8. Leaving you with -16.

7-16+1

Next, subtract 16 from 7.

-9 + 1

Finally, add -9 and 1.

-8

Your final answer is -8.

Answer:

10/13

Step-by-step explanation:

It's already simplified luv

Hello there! :)

Parallel lines have identical slopes.

So if one line has a slope of 2, then the line parallel o it would have the same slope.

Now, use the Point-Slope form:

y-y1=m(x-x1)

y-3=2(x-(-2)

y-3=2x+4

y=2x+4+3

y=2x+7

Hope this helps!

~Just a cheerful gal

#CarryOnLearning

[tex]SilentNature :)[/tex]