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DIA [1.3K]
3 years ago
6

The spinner below shows 5 equally sized slices. Rain a spun the dial 500 Times and got the following results.

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
8 0
Probability is represented as the number of ways for an event to happen over all possible outcomes. For the theoretical probability, there is 1 black spot and 5 total options. Therefore, the probability is 1/5, or 0.20.
For experimental probability, there were 103 times it landed on black out of 500 spins. The probability is 103/500, or 0.206.
Lastly, the multiple choice. The larger sample size you take, assuming a fair spinner, the more likely you are to see results similar to the theoretical probability. This is because the larger sample size taken, the less each individual spin effects the outcome.

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It is 83.35 Unless your rounding up then it is 84 dollars

Step-by-step explanation:

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A local car dealer claims that 25% of all cars in San Francisco are blue. You take a random sample of 600 cars in San Francisco
sammy [17]

Answer:

No, we can't reject the dealer's claim with a significance level of 0.05.

Step-by-step explanation:

We are given that a local car dealer claims that 25% of all cars in San Francisco are blue.

You take a random sample of 600 cars in San Francisco and find that 141 are blue.

<u><em>Let p = proportion of all cars in San Francisco who are blue</em></u>

SO, Null Hypothesis, H_0 : p = 25%   {means that 25% of all cars in San Francisco are blue}

Alternate Hypothesis, H_A : p \neq 25%   {means that % of all cars in San Francisco who are blue is different from 25%}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of 600 cars in San Francisco who are blue =   \frac{141}{600} = 0.235

            n = sample of cars = 600

So, <u><em>test statistics</em></u>  =  \frac{0.235-0.25}{{\sqrt{\frac{0.235(1-0.235)}{600} } } } }

                               =  -0.866

<em>Now at 0.05 significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics lies within the range of critical values of z so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.</em>

Therefore, we conclude that 25% of all cars in San Francisco are blue which means the dealer's claim was correct.

4 0
3 years ago
I have a problem from precalculus cosx/1-tanx +sinx/1-cosx =cosx+sinx prove the identity
vovangra [49]

Answer:

see attachment

Step-by-step explanation:

7 0
3 years ago
Find the distance CD rounded to the nearest tenth
motikmotik

Answer:

CD ≈ 15.0

Step-by-step explanation:

calculate CD using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = C (7, - 4) and (x₂, y₂ ) = D (- 8, - 5)

CD = \sqrt{(-8-7)^2+(-5-(-4))^2}

     = \sqrt{-15)^2+(-5+4)^2}

     = \sqrt{225+(-1)^2}

     = \sqrt{225+1}

     = \sqrt{226}

     ≈ 15.0 ( to the nearest tenth )

 

3 0
2 years ago
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