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2 years ago

NEED HELP ASAP!!!!!

1 answer:

8 0

If restaurant rotates $60^{0}$ every 15 minutes, then after one hour it will rotate $60^{0}*4=240^{0}$ .
When restaurant makes full rotation $360^{0}$ , the length will be $2 \pi r=2 \pi *80=160\pi$ . But $240^{0}$ is only $\frac{2}{3}$ from the full rotation, so the bird will pass $160\pi * \frac{2}{3} =335$ ft

Answer: B is a correct choice

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A list has 10 numbers. Each number is a 1, 2, or 3. The average is 2 and the SD is 0. What is the list?

OLga [1]

Answer:

1, 1, 1, 2, 2, 2, 2, 3, 3, 3

Step-by-step explanation:

Since the standard deviation = 0

And the mean of the number = 2

If X is the sum of all the numbers, then

X/10 = 2

Cross multiply and make X the subject of formula

X = 2 × 10 = 20

The sum of the numbers will be 20

The number will be

1, 1, 1, 2, 2, 2, 2, 3, 3, 3

The sum of the above numbers is equal to 20 and the average value of the numbers is equal to 2.

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2 years ago

Consider the lengths of stay at a hospital’s emergency department. Hours Count Percent 1 18 3.44 2 55 10.50 3 81 15.46 4 109 20.

Vladimir [108]

Answer:

Probability = 0.502

Step-by-step explanation:

We are given the following data :

Hours Count Percent

1 18 3.44

2 55 10.50

3 81 15.46

4 109 20.80

5 88 16.79

6 66 12.60

7 39 7.44

8 17 3.24

9 17 3.24

10 19 3.63

15 15 2.86

We need to calculate the probability

P(Length of stay of exactly 1 is less than or equal to 4)

P( $Y \leq 4$ ) = P(Y = 1) + P(Y = 2) + P(Y = 3) + P(Y = 4)

$P(Y \leq 4) = 0.0344 + 0.1050 + 0.1546 + 0.2080 = 0.502$

We convert the percent into probabilities by dividing them with 100. This gave us the required probabilities.

8 0

2 years ago

Create a set of 5 positive numbers (repeats allowed) that have median 7 and mean 10.

damaskus [11]

Answer:

Step-by-step explanation:

Two cases arise to obtain the median.

Case (1): Sample size (n) is odd

First, arrange the data in ascending order. Then, the median is the middle value and lies at the ${\left( {\frac{{n + 1}}{2}} \right)^{{\rm{th}}}}$ position.

Case (2): Sample size (n) is even

First, arrange the data in ascending order. Then, the median is the mean of the two data values that lie on and positions.

Formula for mean is, where is the sum of all observations and n is the total number of observations.

(1)

Use the below process to create a set of 5 positive numbers (repeats allowed) that have median 7 and mean 10.

1.Select the 5 ordered numbers with middle value 7.

2.Adjust the remaining 4 numbers other than 7 to get mean 10 without changing the order of the numbers.

Based on the process to select the 5 ordered numbers with middle value 7 and change the other ordered numbers to get the mean value 10.

(2)

The product of the mean and the total number of observations is obtained. Then, the sum of four observations is subtracted from the product.

Here, the first four numbers are (5, 6, 7, 8).

The last number by using mean 10 is,

$\begin{array}{c}\\\bar x = \frac{{5 + 6 + 7 + 8 + a}}{5}\\\\10 = \frac{{5 + 6 + 7 + 8 + a}}{5}\\\\50 = 26 + a\\\\a = 50 - 26\\=24\end{array}$

The last number is 24.

6 0

2 years ago

9. Liz works at the ballpark selling bottled

Soloha48 [4]

Answer:

10 big and 27 small

Step-by-step explanation:

First do a random amount and move closer to the answer by changing the amount of bottles

110/5=22

3 x 7 = 21

Bottles too little so less big water bottles

50/5=10

81/3=27

37 bottles so Liz sold 10 big bottles and 27 small bottles.

5 0

2 years ago

In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a

UNO [17]

Answer:

T = - 7.5 Cos π/12( t - 4 ) + 10.5

Step-by-step explanation:

Given that the

Maximum temp. = 18 degree Celsius

Minimum temp. = 3 degree Celsius

The half way between 10 am and 10 pm is 4 am

The sine and cosine functions can be used to model fluctuations in temperature data through out the year. An equation that can be used to model these data is of the form:

T = A cos B(t - C) + D, where A,B,C,D, are constants, T is the temperature in °C and t is the hour (1–24)

A = amplitude = (Tmax - Tmin)/2

A = (3 - 18)/2 = - 15/2 = -7.5 ( note : after midnight)

B = 2π/24 = π/12

C = units translated to the right

C = 4

D = ymin + amplitude = units translated up

D = 7.5 + 3 = 10.5

The formula of the trigonometric function that models the temperature T in Johannesburg t hours after midnight we be

T = - 7.5 Cos π/12( t - 4 ) + 10.5

3 0

2 years ago