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Aliun [14]
3 years ago
15

A spinner is divided into 4 equal - size sections. The sections 4 are red green orange and blue. If Joana spins the spinner twic

e what are the possible outcomes
Mathematics
1 answer:
ycow [4]3 years ago
6 0

Answer:

RR   RG   RO   RB

GG   GR   GO   GB

OO   OR   OG   OB

BB   BR   BG   BO

There are 16 possible outcomes.

Step-by-step explanation:

For this question, we combine the possibilities together.

R = red  G = green  O = orange  B = blue

There are 16 possible outcomes.

You can also find the total number of possible outcomes by using the formula for permutations.  n is the total number of choices.  r is the number you are examining.

\frac{n!}{(n-r)!}

\frac{4!}{(4-2)!} =12

This number doesn't include the outcome of having the same color twice.  There are four colors meaning that their four outcomes in which the same color is spun twice.

12 + 4 = 16

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Which function represents the given graph?
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Answer:

where's the graph??

Step-by-step explanation:

I don't know

can I see the graph

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3 years ago
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A piece of wire 23 m long is cut into two pieces. One piece is bent into a square and the other is bent into an equilateral tria
AURORKA [14]

Answer:

For maximum area, all of the wire should be used to construct the square.

The minimum total area is obtained when length of the wire is 10m

Step-by-step explanation:

For maximum,  we use the whole length

For minimum,

supposed the x length was used for the square,

the length of the side of the square = x/4m

Area = \frac{x^{2} }{16}

For the equilateral triangle, the length of the side =  \frac{23 - x}{3}

Area = \frac{\sqrt{3} }{4}  a^{2}  = \frac{\sqrt{3} }{4} (\frac{23 - x}{3} )^{2}

Total Area = \frac{x^{2} }{16}  + \frac{\sqrt{3} }{36} (23-x)^{2}

\frac{dA}{dx}  = \frac{x}{8}  -  \frac{\sqrt{3} }{18} (23 - x)\\

\frac{d^{2}A }{dx^{2} }  = \frac{1}{8}  + \frac{\sqrt{3} }{18}  > 0, therefore it is minimum

\frac{dA}{dx}  = 0 \\\\

\frac{x}{8}  -  \frac{\sqrt{3} }{18} (23 - x) = 0\\

x = 10.00m

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3 years ago
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Evaluate. 11 + 4 divided by 3 times the sqaure root of 64
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Answer:

40

Step-by-step explanation:

it would be first bodmas so

(15) /3 * root 64

5 * root 64

5*8

40

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Write the equation of the line that has a slope of -5 and goes through (1,-4)
saveliy_v [14]

Answer:

y=-5x+1

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7 0
3 years ago
(a) Find the size of each of two samples (assume that they are of equal size) needed to estimate the difference between the prop
zalisa [80]

Answer:

(a) The sample sizes are 6787.

(b) The sample sizes are 6666.

Step-by-step explanation:

(a)

The information provided is:

Confidence level = 98%

MOE = 0.02

n₁ = n₂ = n

\hat p_{1} = \hat p_{2} = \hat p = 0.50\ (\text{Assume})

Compute the sample sizes as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{2\times\hat p(1-\hat p)}{n}

       n=\frac{2\times\hat p(1-\hat p)\times (z_{\alpha/2})^{2}}{MOE^{2}}

          =\frac{2\times0.50(1-0.50)\times (2.33)^{2}}{0.02^{2}}\\\\=6786.125\\\\\approx 6787

Thus, the sample sizes are 6787.

(b)

Now it is provided that:

\hat p_{1}=0.45\\\hat p_{2}=0.58

Compute the sample size as follows:

MOE=z_{\alpha/2}\times\sqrt{\frac{\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})}{n}

       n=\frac{(z_{\alpha/2})^{2}\times [\hat p_{1}(1-\hat p_{1})+\hat p_{2}(1-\hat p_{2})]}{MOE^{2}}

          =\frac{2.33^{2}\times [0.45(1-0.45)+0.58(1-0.58)]}{0.02^{2}}\\\\=6665.331975\\\\\approx 6666

Thus, the sample sizes are 6666.

7 0
3 years ago
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