All categories

3 years ago

Can someone help me with this? I don’t need an explanation I just need the answer thank you :)

Mathematics

1 answer:

Fittoniya [83]3 years ago

5 0

Answer:

87.92 in²

Step-by-step explanation:

pi × (R² - r²) = area

Where R is the radius of the outer circle and r of the inner circle.

Since C = 2pi×r

37.68 = 2×3.14×r

r = 6 in

R = 6 + 2 = 8 in

Therefore,

pi × (R² - r²) = area

Area = 3.14 (8² - 6²)

= 87.92 in²

You might be interested in

At Garland School,

ankoles [38]

490 x 2/5 = 980/5 = 196 girls at Garland

945 x 5/7 = 4725/7 = 675 girls at Bowood

Bowood has more girls:

675-196 = 479 more

8 0

2 years ago

The manager wants to advertise that anybody who isn't served within a certain number of minutes gets a free hamburger. But she d

aksik [14]

Answer:

The number of minutes advertisement should use is found.

x ≅ 12 mins

Step-by-step explanation:

(MISSING PART OF THE QUESTION: AVERAGE WAITING TIME = 2.5 MINUTES)

For such problems, we can use probability density function, in which probability is found out by taking integral of a function across an interval.

Probability Density Function is given by:

$f(t)=\left \{ {{0 ,\-t$

Consider the second function:

$f(t)=\frac{e^{-t/\mu}}{\mu}\\$

Where Average waiting time = μ = 2.5

The function f(t) becomes

$f(t)=0.4e^{-0.4t}$

The manager wants to give free hamburgers to only 1% of her costumers, which means that probability of a costumer getting a free hamburger is 0.01

The probability that a costumer has to wait for more than x minutes is:

$\int\limits^\infty_x {f(t)} \, dt= \int\limits^\infty_x {}0.4e^{-0.4t}dt$

which is equal to 0.01

Solve the equation for x

$\int\limits^{\infty}_x {0.4e^{-0.4t}} \, dt =0.01\\\\\frac{0.4e^{-0.4t}}{-0.4}=0.01\\\\-e^{-0.4t} |^\infty_x =0.01\\\\e^{-0.4x}=0.01$

Take natural log on both sides

$ln (e^{-0.4x})=ln(0.01)\\-0.4x=ln(0.01)\\-0.4x=-4.61\\x= 11.53$

<h3>Results</h3>

The costumer has to wait x = 11.53 mins ≅ 12 mins to get a free hamburger

3 0

2 years ago

Find the slope of the line whose equation is 4x - 6y = 8.

ss7ja [257]

Answer:

$Slope=\frac{2}{3}$

Step-by-step explanation:

4x - 6y = 8 ⇔ - 6y = -4x + 8 ⇔ y = 4/6x - 8/6 ⇔ y = 2/3x - 4/3

4 0

3 years ago

Read 2 more answers

Without solving, tell what is true of the product of 3 and 2/3 =?

Kisachek [45]

Answer:

3 is a whole number while 2/3 is less than 3

Step-by-step explanation:

5 0

2 years ago

Solve the function.<br> h(x)= 6x - 10<br> ————-<br> X + 3 <br><br><br> Help please

Rus_ich [418]

Answer:

X+3=0

X=-3

H(x)=6*-3 - 10

H(x) =-18 - 10

H(x) =-28

8 0

2 years ago