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Vika [28.1K]
3 years ago
13

Find the measure of angle y. Round your answer to the nearest hundredth. (please type the numerical answer only)

Mathematics
2 answers:
andreev551 [17]3 years ago
7 0

Answer:

52.02

Step-by-step explanation:

cos-1 (8/13)

=52.02

disa [49]3 years ago
3 0
cos y = \frac{8}{13}  \\ y = arccos \frac{8}{13}  \\ y = 52.41
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The times to process orders at the service counter of a pharmacy are exponentially distributed with mean 1 0 minutes. If 100 cus
g100num [7]

Answer:

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

Step-by-step explanation:

The formula for the probability of an exponential distribution is:

P(x < b) = 1 - e^(b/3)

Using the complement rule, we can determine the probability of a customer having to wait more than 10 minutes, by:

p = P(x > 10)

  = 1 - P(x < 10)

  = 1 - (1 - e^(-10/10) )

  = e⁻¹

  = 0.3679

The z-score is the difference in sample size and the population mean, divided by the standard deviation:

z = (p' - p) / √[p(1 - p) / n]

  = (0.5 - 0.3679) / √[0.3679(1 - 0.3679) / 100)]

  = 2.7393

Therefore, using the probability table, you find that the corresponding probability is:

P(p' ≥ 0.5) = P(z > 2.7393)

<em>P(p' ≥ 0.5) = 0.0031</em>

<em></em>

Therefore,  the probability that at least half of them need to wait more than 10 minutes is <em>0.0031</em>.

8 0
3 years ago
Simplify 3^2 x 2^4 x 3^3 x 2
alex41 [277]
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3 0
3 years ago
Determine algebraically whether f(x)=3x-2 and g(x)=(x+2)/3 are inverse functions. Show all work.
Sergio [31]

Answer:

Yes

Step-by-step explanation:

f(x)=3 x-2      

     

y= 3 x-2      

             

x= 3y - 2  

     

3 y -2 = x

3 y -2 + 2 = x + 2

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3        3       3

<u>3 y </u> =  <u>x  </u> +  <u>2  </u>                                                    

3        3       3

y =  <u>x </u>  +  <u>2   </u>        replace y with f ^ -1(x)

   <em> </em>  3        3                                            

f ^-1 (x) =    <u>x</u>   +  <u>2 </u>        

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4 0
3 years ago
Danny rented a truck for one day. There was a base fee of $15.99, and there was an additional charge of 92 cents for each mile d
Kitty [74]

Answer:

194 miles

Step-by-step explanation:

The base fee of $15.99 is going to have to be paid, whether any miles are put on the truck or not.  If the number of miles driven is our unknown, if we rent the truck for the base fee of $15.99 and drive it 0 miles, we still have to pay the $15.99.  If we do drive it and we have to pay .92 a mile, the expression for that is .92x, where x is the number of miles driven (it is also the variable we are solving for!).  The expression for this total cost is .92x + 15.99, and since we paid a total of $194.47, we set our cost equation equal to that number and solve for x:

.92x + 15.99 = 194.47 and

.92x = 178.48 so

x = 194 miles driven

5 0
3 years ago
A piggy bank contains a total of 84 coins in nickels and quarters worth $12.80.
Kitty [74]

Let's make a system of equations to solve for this:

n + q = 84

0.05n + 0.25q = 12.80

where n = nickels and q = quarters.

---

Solve for n in the first equation by subtracting q from both sides.

n = 84 - q

---

Plug n into the second equation.

0.05(84 - q) + 0.25q = 12.80

Distribute 0.05 inside the parentheses.

4.2 - 0.05q + 0.25q = 12.80

Combine like terms.

4.2 + 0.2q = 12.80

Subtract 4.2 from both sides.

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Divide both sides by 0.2.

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Plug 43 for q in the first equation.

n + (43) = 84

Subtract 43 from both sides.

n = 41

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There are 41 nickels and 43 quarters in the piggy bank. ✅

8 0
3 years ago
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