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3 years ago

what is the length of a circle that has a central angle of 98 degrees and 6 cm rounded to the nearest 100th. using 3.14

1 answer:

5 0

Arc length = 2 $\pi$ r * Θ/360 = $\pi$ d * Θ/360
so...
If we take pi to be 3.14,
Arc length = 2(3.14)(6) * 98/360
= 37.68 * 98/360 = 10.26 cm

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An entrepreneur faces many bureaucratic and legal hurdles when starting a new business. The World Bank collects information abou

slamgirl [31]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

Rearranged data:

5, 5, 5, 5, 6, 7, 7, 7, 8, 12, 12, 13, 13, 15, 18, 18, 27, 28, 36, 48, 52, 60, 66, 94

Start time for Suriname = 694

Mean = ΣX / n

Mean = (567 + 694) / (24 + 1) = 1261 / 25 = 50.44

B.) median start Time for initial 24 values

0.5(n+1)th term

0.5(25) = 12.5th term

(13 + 13) / 2 = 13

C.) preferred measure of center for the distribution will be the median as it shapes well in the middle of the distribution. The mean is overestimated

d) Compute the quartiles (Q1, Q2, Q3), and find the IQR for these data. Are there outliers in the time to start a business data set? If so, identify and name any outliers.

Using calculator :

Lower quartile Q1 --> 7

Median Q2 --> 13

Upper quartile Q3 --> 42

IQR = (Q3 - Q1) = 42 - 7 = 35

OUTLIER:

Lower bound : Q1 - 1.5(IQR) ; 7 - 1.5(35) = - 45.5

Upper bound : Q3 + 1.5(IQR) = 42 + 1.5(35) = 94.5

Outlier : values below - 45.5 and above 94.5

Hence, Surimanes start time is the only Outlier.

Standard deviation for 24 countries :

Standard deviation = sqrt[Σ(X - mean)^2 / (N - 1)]

Usibg calculator :

Standard deviation for the 24 countries is 23.83

Standard deviation

5 0

2 years ago

An individual is planning a trip to a baseball game for 16 people. Of the people planning to go to the baseball game, 8 can go o

Sedaia [141]

Answer: There are 4 people who only go to the game on Saturday.

Step-by-step explanation:

Let the number of people go on Saturday be n(A).

Let the number of people go on Sunday be n(B).

Since we have given that

n(A) = 8

n(B) = 12

n(A∪B) = 16

According to rules, we get that

$n(A)+n(B)-n(A\cap B)=n(A\cup B)\\\\8+12-n(A\cap B)=16\\\\20-n(A\cap B)=16\\\\n(A\cap B)=20-16=4$

So, n(only go on Saturday) = n(only A) = n(A) - n(A∩B) = 8-4 = 4

Hence, there are 4 people who only go to the game on Saturday.

4 0

3 years ago

Given b(x) = [X+41, what is b(-10)?<br> – 10<br> -6<br> 6<br> 14

OLEGan [10]

Option C: 6 is the value of $b(-10)$

Explanation:

The given expression is $b(x)=|x+4|$

We need to determine the value of $b(-10)$

To find the value of $b(-10)$ , let us substitute $x=-10$ in the given expression.

Thus, substituting $x=-10$ in the expression, we have,

$b(-10)=|-10+4|$

Adding the terms, we get,

$b(-10)=|-6|$

Since, we know the absolute rule that $|-a|=a$ and the simplified expression is of the form $|-a|$ , let us apply the absolute rule in the simplified expression.

Thus, we have,

$b(-10)=6$

Thus, the value of $b(-10)$ is 6.

Hence, Option C is the correct answer.

3 0

3 years ago

Bob and will toss two coins. if both coins come up heads, bob pays will $6. will pays bob $2 otherwise. what is the expected val

Helga [31]

Each coin has a head and a tail, therefore when you toss two coins, you have 4 possible outcomes. You have two heads in only one of these outcomes, while the other three have at least one tail.

The expected value of the game is the price paid/gained times the probability of loss/victory:

E = (1 / 4) · (-6) + (3 / 4) · (2)
= -3 / 2 + 3 / 2
= 0

Bob expects to tie with Will.

6 0

3 years ago

Read 2 more answers

What is the value of 6! ?

Anika [276]

6 ! = 720

the definition of n ! ( n factorial ) is

n ! = n(n - 1)(n - 2) ..........× 3 × 2 × 1

6 ! = 6 × 5 × 4 × 3 × 2 × 1 = 720

3 0

3 years ago

Read 2 more answers