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7nadin3 [17]
3 years ago
8

of the 12 people attending seminar, 6 have red hair. what is the probability that a randomly selected person will have red hair?

write your answer as a fraction or a whole number.
Mathematics
1 answer:
Grace [21]3 years ago
5 0

Answer:

1/2

Step-by-step explanation:

there is a total of 12 people

6/12 people have red hair

if you simplify, it is 1/2

therefore there would be a 1/2 chance that someone with red hair would be chosen.

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Which shows the list of numbers in order from least to greatest?<br> -4.2, -4/5, -1, -2, 3.5
Dmitrij [34]

Answer:

-4.2, -2, -1, -4/5, 3.5

Step-by-step explanation:

7 0
3 years ago
Help me with this problem
nikitadnepr [17]

Answer:

A)SAS

Step-by-step explanation:

8 0
3 years ago
The following table shows the number of hours some teachers in two schools expect students to spend on homework each week: Schoo
Lerok [7]

Answer:

For school A: Minimum=6, Q₁=6.5, Median= 14, Q₃=16, Maximum=17, IQR=9.5

For school B: Minimum=5, Q₁=8, Median= 12, Q₃=15.5, Maximum=19, IQR=7.5

No, the box plots are not symmetric.

Step-by-step explanation:

Part A

The given data sets are

School A : 9,14,15,17,17,7,15,6,6

School B : 12,8,13,11,19,15,16,5,8

Arrange the data in ascending order.

School A : 6,6,7,9,14,15,15,17,17

School B : 5,8,8,11,12,13,15,16,19

Divide each data set in four equal parts.

School A : (6,6),(7,9),14,(15,15),(17,17)

School B : (5,8),(8,11),12,(13,15),(16,19)

For school A:

Minimum=6, Q₁=6.5, Median= 14, Q₃=16, Maximum=17

Interquartile range of the data is

IQR=Q_3-Q_1=16-6.5=9.5

For school B:

Minimum=5, Q₁=8, Median= 12, Q₃=15.5, Maximum=19

Interquartile range of the data is

IQR=Q_3-Q_1=15.5-8=7.5

Part B:

The box plots are not symmetric because the data values are different. Five number summary and IQR of both the data set are different.

4 0
3 years ago
drinking 6 fluid ounces of milk provides 202.5 mg of calcium how many fluid ounces of milk are required to provide 52.5 mg of ca
Ymorist [56]

Answer:

2 fluid ounces.

Step-by-step explanation:

202.5 divided by 6 = 33.75 (1 fluid ounce)


33.75 x 2 = 67.5.  (68)  







5 0
4 years ago
Over the past several years, the owner of a boutique on Aspen Avenue has observed a pattern in the amount of revenue for the sto
Sidana [21]

Answer:

f(x)=8500\sin\left(\frac{\pi}{6}\left(x-1\right)\right)+33500

Step-by-step explanation:

Given information:

Maximum revenue = 42000

Minimum revenue = $25000

Time period = 12 months

We need to write a function that models the boutique's revenue during the year, where corresponds to the month.

f(x)=Asin(B[x-C])+D           .... (1)

where, A is amplitude, \frac{2\pi}{B} is period, C is phase shift and D is midline.

A=Amplitude =\frac{Maximum-Minimum}{2}\Rightarrow \frac{42000-25000}{2}=8500

D=midline =\frac{Maximum+Minimum}{2}\Rightarrow \frac{42000+25000}{2}=33500

Period=\frac{2\pi}{B}

12=\frac{2\pi}{B}\Rightarrow B=\frac{\pi}{6}

Substitute the value of A, B and D in equation (1).

f(x)=8500\sin\left(\frac{\pi}{6}\left(x-C\right)\right)+33500         ..... (2)

In April, revenue of the store is $42000. So, the graph passes through the point (4,42000).

42000=8500\sin\left(\frac{\pi}{6}\left(4-C\right)\right)+33500

42000-33500=8500\sin\left(\frac{\pi}{6}\left(4-C\right)\right)

8500=8500\sin\left(\frac{\pi}{6}\left(4-C\right)\right)

Divide both sides by 8500.

1=\sin\left(\frac{\pi}{6}\left(4-C\right)\right)

\sin \frac{\pi}{2}=\sin\left(\frac{\pi}{6}\left(4-C\right)\right)

On comparing both sides we get

\frac{\pi}{2}=\frac{\pi}{6}(4-C)

3=4-C

C=4-3

C=1

Substitute the value of C in equation (2).

Therefore, the required function is f(x)=8500\sin\left(\frac{\pi}{6}\left(x-1\right)\right)+33500.

5 0
3 years ago
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