The total length of a road trip was 15.6 hours. If highway signs are posted every 0.06 hours, including one at the end of the road trip, how many highway signs will there be on the road trip?

Answer:

Step-by-step explanation:

Each installment is 1/12 of a yearly income:

Annual salary=32000

Monthly salary

Answer:

4/3

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex] { \frac{2}{3} }^{2} = \frac{4}{9} [/tex]

have a nice day

Answer:

4

Step-by-step explanation:

Im pretty sure its 4

Answer:

4 is the answer to the question

Answer: √21/√pi

Step-by-step explanation: Surface area of ball is 4(pi)r^2. Divide 84 by 4 and get 21. Dividing 21 by pi and taking the square root therefore is the answer.

Answer:

The point estimate of the population mean is 164.7

Step-by-step explanation:

Given

[tex]n =10[/tex]

[tex]Data: 151\ 164\ 146\ 143\ 167\ 188\ 190\ 180\ 170\ 148[/tex]

Required

The point estimate of the mean

To do this, we simply calculate the sample mean using;

[tex]\bar x =\frac{\sum x}{n}[/tex]

[tex]\bar x =\frac{151 +164 +146 +143 +167 +188 +190 +180+170 +148}{10}[/tex]

[tex]\bar x =\frac{1647}{10}[/tex]

[tex]\bar x =164.7[/tex]

Answer:

8.3

Step-by-step explanation:

Answer:

i dont know what is that explain that

Answer:

1) Diverges. 2) Converges. 3) Converges. 4) Converges. 5) Diverges. 6) Diverges. 7) Converges. 8) Converges to 2.5. 9) Diverges

Step-by-step explanation:

In order to find the convergence or divergence of a geometric series, we have to focus on the absolute value of its radius

The theorem states that if [tex]|r|<1[/tex] then the series converges to [tex]\frac{a_{1} }{1-r }[/tex]

1) The radius is r = 4 which is greater than one so it Diverges.

2) The radius is [tex]r=\frac{-3}{4}[/tex] and [tex]|r|=\frac{3}{4}[/tex] which is less than 1 so it Converges.

3) The radius is 0.5 which is less than 1 so it Converges.

4) To figure out unknown radius, we divide the 2nd term from the first, in this case we have [tex]\frac{27}{81} =\frac{1}{3}[/tex] which is less than one so it Converges.

5) for this one, since the second term is bigger than the first, if we divide them, the answer would always be bigger than 1 so it Diverges.

The geometric series are given by the formula ∑[tex]C(r)^{n}[/tex] where c is a constant.

6) in this case our [tex]r = \frac{3}{2}[/tex] which is bigger than 1 so it Diverges.

7) [tex]r = \frac{-1}{4}[/tex] and [tex]|r|=\frac{1}{4}[/tex] which is less than one so it Converges.

to find the sum of a convergent geometric series, we use the formula [tex]\frac{a_{1} }{1-r}[/tex]

8) plug in given information

[tex]a_{1} = 3\\r = \frac{-1}{5}\\\\=\frac{3}{1-(-\frac{1}{5}) }\\= \frac{3}{1+\frac{1}{5} }\\= 2.5[/tex]

9) since [tex]r = -3[/tex] and [tex]|r|=3[/tex], r is greater than 1 and it Diverges.

Hopefully the work I did was right. Have a good one!

Answer:

The airline should expect a revenue of $1,884 for a flight of 120 passengers

Step-by-step explanation:

For each passenger:

54% of passengers have no checked luggage, that is, 54% probability of no revenue.

34% have one piece, that is, 34% probability of $25 revenue.

12% have two pieces, that is, 12% probability of $60 revenue.

The expected revenue for a single passenger is:

[tex]E = 0.54*0 + 0.34*25 + 0.12*60 = 15.7[/tex]

For 120 passengers

15.7*120 = $1,884

The airline should expect a revenue of $1,884 for a flight of 120 passengers

Answer:

absolute error: 7 pounds

percent error:4.9%

Step-by-step explanation:

Absolute error:

150-143=7 pounds

Percent error:

=l[tex]\frac{150-143}{143}[/tex] l x 100

=l[tex]\frac{7}{143}[/tex]l x 100

=0.04895x100

=4.895...

=4.9%

Answer:

300ft

Step-by-step explanation:

Answer:

300 ft

Step-by-step explanation:

1 yd = 3 ft

100 yd = 100 * 1 yd = 100 * 3 ft = 300 ft

Answer: 300 ft

Answer:

f(x) = 4*(5/2)^x

Step-by-step explanation:

First, we know that our function has the points:

(0, 4)

(1, 10)

(2, 25)

The first one (0, 4) means that:

f(0) = 4.

Then you can evaluate the four given functions in x = 0 and see which ones meet this condition (have the outcome equal to 4)

Here we can discard the function f(x) = 15*x - 5 because:

f(0) = 15*0 - 5 = -5

Then this function is discarded.

Now let's look at the second point, (1, 10)

This means that f(1) = 10

Then you can evaluate the remaining functions in x = 1, and see if the outcome is equal to 10.

Here we can discard the first function f(x) = (x + 2)^2 because:

f(1) = (1 + 2)^2 = 3^2 = 9

So the output is not 10 as we wanted.

(while for the other two functions we have)

for f(x) = 6*x + 4

f(1) = 6*1 + 4 = 10

for f(x) = 4*(5/2)^x

f(1) = 4*(5/2)^1 = 4*(5/2) = (4/2)*5 = 10

Now we use the last point, (2, 25)

This means that when x = 2, the outcome needs to be equal to 25.

For the function f(x) = 6*x + 4 we have:

f(2) = 6*2 + 4 = 12 + 4 = 16

So we can discard this one.

Then we could conclude that the remaining option is the correct one, but let's ceck.

f(x) = 4*(5/2)^x

then for x = 2

f(2) = 4*(5/2)^2 = 4*(25/4) = 25

correct.

Then the correct option is f(x) = 4*(5/2)^x

Answer:

1 in 144

Step-by-step explanation:

There is one 8 on a 12-sided die, so the probability of rolling an 8 once is [tex]\frac{1}{12}[/tex].

We are rolling twice, so [tex](\frac{1}{12})^{2} =\frac{1}{144}[/tex].

Answer:

29 day) $15.00

30 day $15.00

31 day $15.00

The cost was the same for all three days

Step-by-step explanation:

Rover = 3/4 can

Bobo = 1/2 can

29(3/4) + 29(1/2) = 21.75 + 14.5 = 36.25 cans

36.25/3 = 12.08

must buy 4 packs of 3 at $5.00 each = $15.00

30(3/4) + 30(1/2) = 22.5 + 15 = 37.5 cans

37.5/3 = 12.5

must buy 4 packs of 3 at $5.00 each = $15.00

31(3/4) + 31(1/2) = 23.25 + 15.5 = 38.75 cans

38.75/3 = 12.92

must buy 4 packs of 3 at $5.00 each = $15.00

Answer:

Area of shaded region=2 ×3.14×R -2×3.14×r(where R is lager radius and r is smaller radius.)

Therefore area of shaded region=2×3.14×12 -2×3.14×8

=2×3.14(12-8)

=6.18 ×4

=24.72 inc^2

Step-by-step explanation:

Answer: 60

Step-by-step explanation: Plug in 8 for x and either use the linear supplements theorem to solve or the vertical angles congruence theorem.

Answer:

16+3y=31

3y=31-16

3y=15

y=15/3

y=5

check.

16+3×5

=16+15

=31

Answer:

5/4

Step-by-step explanation:

6 1/4 is equal to 25/4 and if you do 5 times 5/4 you get 25/4 which is 6 1/4

Answer:

5/4

Step-by-step explanation:

Answer:

Paige will qualify for a bonus on her 4th day of work.

Step-by-step explanation:

50 customers per day

needs to sell to 17

Ratio = 1:9

      1:9

×17         ×17

    17:153

Paige needs to see 153 customers.

153 ÷ 50 = 3.06 ≈ 4   (As the answer is not asking for the exact number of the day you round up to make a whole day without underestimating)

So, Paige will qualify for a bonus on her 4th day of work.

Answer:

6 years

Step-by-step explanation:

Step-by-step explanation:

0/1 , 1/1

Multiply there denominators with any number...

0/1×60=0/60

1/1××60=60/60

Now,

You have many choices...

1/60,10/60,30/60,2/60,5/60........so on....

Answer: x = 12

Step-by-step explanation:

First, we have to add 4 on both sides of the equation to combine like terms:

3х – 4 (+4) = 8 (+4) + 2х

3x = 12 + 2x

Now we subtract 2x on both sides of the equation, which leaves x by itself:

3x (-2x) = 12 + 2x (-2x)

x = 12

Answer:

12.57 inches

Step-by-step explanation:

the formula is l = x/360 (2 pi r) so you solve from there

Answer:

D. Maximum when it leaves the ground

Answer:

it would be 3 tons if I'm correct

Answer: 3 tons

Step-by-step explanation:

1 ton is equal to 2,000 pounds.

Divide 6,000 from 2,000 to find how many tons the animal weighs.

6,000/2,000=3.

Hope this helps!

Answer:

Yes

Yes

No

No

Step-by-step explanation:

Answer:

actually its depend on how is he working day by day

Answer:

hhuhhuhhhuhh

Step-by-step explanation:

Answer:

angle 3x = 78°

angle opposite (4x + 30) = 226°

Step-by-step explanation:

It has 6 sides, so:

total interior angles sum = (180° x 6) - 360° = 720°

720° = 90° + 3x + 90° + 118° + (360° - (4x + 30°)) + 118°

combine like terms:

720° = 3x + 416° + (360° - 4x - 30°)

720° = -x + 746°

x = 26°