All categories

2 years ago

Convert 48°36'12" to the nearest thousandth of a degree

Mathematics

1 answer:

uranmaximum [27]2 years ago

5 0

48 degrees remains

divide minutes by 60

36/60 = 0.6

then divide seconds by 3600

12/3600=0.003 ( to nearest thousandth)

now add them all up

48 +0.6 + 0.003 = 48.603 degrees

You might be interested in

Tire pressure monitoring systems (TPMS) warn the driver when the tire pressure of the vehicle is 26% below the target pressure.

ZanzabumX [31]

Answer:

a) 22.94 psi

b) $5.93\times10^{-5}$

Step-by-step explanation:

a)The pressure at which will trigger a warning is

31 - 31*0.26 = 22.94 psi

b) The probability that that the TPMS will trigger warning at 22.94 psi, given that tire pressure has a normal distribution with average of 31 psi and standard deviation of 2 psi

$f(x)={\frac {1}{\sigma {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {x-\mu }{\sigma }}\right)^{2}}$

where x = 22.94, $\mu = 31, \sigma = 2$

$f(22.94)={\frac {1}{2 {\sqrt {2\pi }}}}e^{-{\frac {1}{2}}\left({\frac {22.94-31}{2 }}\right)^{2}}$

$f(22.94)=0.2e^{-8.12} = 5.93\times10^{-5}$

6 0

2 years ago

A town has a population of 13000 and grows at 4.5% every year. What will be the population after 13 years, to the nearest whole

hodyreva [135]

23,039.
y=13,000(1.045)^t
t=13
You get 1.045 because you add 1+ the percentage in decimal form.

6 0

1 year ago

Read 2 more answers

Sam's Furniture Store places the following advertisement in the local newspaper.

boyakko [2]

Answer:

$500

Step-by-step explanation:

<h3>Given</h3>

Sofa = s
Love seat = l
Chair = c

Sofa and love seat cost = $1300
Sofa and 2 chairs cost = $1400
Sofa, love seat and one chair cost = $1600

Love seat = ?

<h3>Solution</h3>

<u>Equations as per given are:</u>

s + l = 1300
s + 2c = 1400
s + l + c = 1600

<u>Subtract equation 1 from equation 3:</u>

s + l + c - s - l = 1600 - 1300
c = 300

<u>Considering this in the equation 2:</u>

s + 2*300 = 1400
s = 1400 - 600
s = 800

<u>Substituting s in the equation 1:</u>

800 + l = 1300
l = 1300 - 800
l = 500

<u>Answer:</u> Love seat costs $500

6 0

2 years ago

Choose the option that best completes the statement below. In finding the number of permutations for a given number of items, __

vodomira [7]

Let’s look at the permutations of the letters “ABC.” We can write the letters in any of the following ways:
ABC
ACB
BAC
BCA
CBA
CAB
Since there are 3 choices for the first spot, two for the next and 1 for the last we end up with (3)(2)(1) = 6 permutations. Using the symbolism of permutations we have: $3 P_{3}=(3)(2)(1)=6$ . Note that the first 3 should also be small and low like the second one but I couldn’t get that to look right.

Now let’s see how this changes if the letters are AAB. Since the two As are identical, we end up with fewer permutations.
AAB
ABA
BAA
To make the point a bit better let’s think of one A are regular and one as bold A.
ABA and ABA look different now because we used bold for one of the As but if we don’t do this we see that these are actual the same. If they represented a word they would be the same exact word.

So in this case the formula would be $\frac{3 P_{3} }{2!}= \frac{(3)(2)(1)}{(2)(1)}= \frac{6}{2}=3$ . We use 2! In the denominator because there are 2 repeating letters. If there were three we would use 3!

Hopefully, this is enough to let you see that the answer is A. The number of permutations is limited by the number of items that are identical.

7 0

2 years ago

The table shows the dimensions and the numbers of blades of grass on four rectangular pieces of sod. Select and drag the pieces

sveta [45]

Answer:

i think it is d,a,c,b

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers