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Artyom0805 [142]

2 years ago

7

In circle O, central angle AOB measures StartFraction pi Over 3 EndFraction radians. Circle O is shown. Line segments A O and B

O are radii with length 18 centimeters. What is the length of arc AB? 6π cm 12π cm 18π cm 36π cm

2 answers:

Oksanka [162]2 years ago

7 0

Answer:

1) 6π cm

Step-by-step explanation:

on edg 2020

blondinia [14]2 years ago

6 0

Answer:

6(pie)

Step-by-step explanation:

trust me ; )

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A recipe for casserole calls for 2 cups of rice. The recipe makes 6 servings of casserole. how many cups of rice will you need t

ss7ja [257]

You will need 3.333.... cups of rice to make 10 servings of casserole.

<u><em>Explanation</em></u>

The recipe which makes 6 servings of casserole, needs 2 cups of rice.

Suppose, you need $x$ cups of rice for making 10 servings of casserole.

Now, the equation according to <u>the ratio of "cups of rice" to the "servings of casserole" </u>will be.....

$\frac{x}{10}=\frac{2}{6}\\ \\ 6x= 2*10=20\\ \\ x=\frac{20}{6}=3.333.....$

So, you will need 3.333.... cups of rice to make 10 servings of casserole.

5 0

2 years ago

Here are seven tiles: 1,1,3,3,3,5,5. Tom takes a tile at random. He does not replace the tile. Tom then takes a second tile. A)

zzz [600]

Answer:

a) 2/42

b)16/42

Step-by-step explanation:

a) 2/7 x 1/6 = 2/42

b) (1,2) (1,3) (2,3)

P(1,2) = 2/7 x 3/6 = 6/42

P(1,3) = 2/7 x 2/6 = 4/42

P(2,3) = 3/7 x 2/6 = 6/42

Add all = 6/42 + 4/42 + 6/42 = 16/42

4 0

2 years ago

An employment agency requires applicants average at least 70% on a battery of four job skills tests. If an applicant scored 70%,

brilliants [131]

Answer:

atleast 52

Step-by-step explanation:

Given that an employment agency requires applicants average at least 70% on a battery of four job skills tests.

An applicant scored 70%, 77%, and 81% on the first three exams,

Since weightages are not given we can assume all exams have equal weights

Let x be the score on the 4th test

Then total of all 4 exams = $70+77+81+x\\= 228+x$

Average should exceed 70%

i.e. $\bar X \geq 70\\Total\geq 70(4) =280$

Comparing the two totals we have

$228+x\geq 280\\x\geq 280-228 = 52$

Hemust score on the fourth test a score atleast 52 to maintain a 70% or better average.

3 0

1 year ago

A quarter is approximately 0.07 inches thick. A dollar bill is approximately 4.3 × 10-3 inches thick.

nlexa [21]

Answer:

m = 6.57 and n = -2

Step-by-step explanation:

To answer this question you will covert the thickness of a dollar to standard notation and then compare the two values.

0.07 =compared to 0.0043 = 0.0657

0.0657 = 6.57 x 10^-2

A quarter is thicker than a dollar by 6.57 x 10^-2.

m = 6.57 and n = -2

8 0

1 year ago

The caller times at a customer service center has an exponential distribution with an average of 22 seconds. Find the probabilit

jenyasd209 [6]

Answer:

The probability that a randomly selected call time will be less than 30 seconds is 0.7443.

Step-by-step explanation:

We are given that the caller times at a customer service center has an exponential distribution with an average of 22 seconds.

Let X = caller times at a customer service center

The probability distribution (pdf) of the exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} ; x > 0$

Here, $\lambda$ = exponential parameter

Now, the mean of the exponential distribution is given by;

Mean = $\frac{1}{\lambda}$

So, $22=\frac{1}{\lambda}$ ⇒ $\lambda=\frac{1}{22}$

SO, X ~ Exp( $\lambda=\frac{1}{22}$ )

To find the given probability we will use cumulative distribution function (cdf) of the exponential distribution, i.e;

$P(X\leq x) = 1 - e^{-\lambda x}$ ; x > 0

Now, the probability that a randomly selected call time will be less than 30 seconds is given by = P(X < 30 seconds)

P(X < 30) = $1 - e^{-\frac{1}{22} \times 30}$

= 1 - 0.2557

= 0.7443

7 0

2 years ago