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Ne4ueva [31]
3 years ago
7

Predict how many times you will roll a number less than 3 if you roll a standard number

Mathematics
1 answer:
Korvikt [17]3 years ago
4 0

Answer:

about 117 times

Step-by-step explanation:

No. of possible outcomes of a cube: 6

2 out the 6 possible outcomes are less than 3,

and therefore, No. of favorable outcome: 2

P(less than 3)= No. of favorable outcome / No. of possible outcomes

                     =2/6 => 1/3

if you roll a standard number  cube 350 times then,

Prediction= number of rolls x (P(less than 3))

                =350 x 1/3

                ≈117 times.

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3 years ago
Y = mx + b to find the equation of the line that passes through the points (−6, 1) and (3, 4).
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\bf (\stackrel{x_1}{-6}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{4}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{4}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-6)}}}\implies \cfrac{3}{3+6}\implies \cfrac{3}{9}\implies \cfrac{1}{3}

\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{1}=\stackrel{m}{\cfrac{1}{3}}[x-\stackrel{x_1}{(-6)}] \implies y-1=\cfrac{1}{3}(x+6) \\\\\\ y-1=\cfrac{1}{3}x+2\implies y=\cfrac{1}{3}x+3

6 0
3 years ago
There were 324 adults surveyed. Among the participants, the mean number of hours of sleep each night was 7. 5 and the standard d
NeTakaya

The margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

<h3>What is the margin of error?</h3>

The margin of error can be defined as the amount of random sampling error in the results of a survey. It is given by the formula,

\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\frac{\sigma^{2}}{n}}

\text{MOE} = margin of error

\gamma = confidence level

z_{\gamma} = quantile

σ = standard deviation

n = sample size

As it is given that the sample size of the survey is 324, while the standard deviation of the survey is 1.6.

We know that the value of the z for 95% confidence interval is 1.96. Therefore, using the formula of the standard of error we can write it as,

\text{MOE}_{\gamma}=z_{\gamma} \times \sqrt{\dfrac{\sigma^{2}}{n}}\\\\\text{MOE}_{\gamma}=1.96 \times \sqrt{\dfrac{1.6^{2}}{324}}\\\\\text{MOE}_{\gamma}=0.1742

Hence, the margin of error for 324 adults surveyed with 1.6 standard deviations is 0.1742.

Learn more about Margin of Error:

brainly.com/question/6979326

5 0
3 years ago
The band boosters collected $2400 from the sale of hamburgers and hotdogs.The amount earned from hamburgers and hotdogs were equ
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Read 2 more answers
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Here are a few:

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How to find them:

You probably never heard this before, but I'll bet
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<em>ANY number that you can write down on paper completely, </em><em>using digits
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If you can write it down completely without any 'comments', then it's rational.
3 0
3 years ago
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