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3 years ago

A spinner is divided into six equal-sized sectors labeled 1 through 6. Dwayne spins this spinner 12 times. Let X

Mathematics

2 answers:

slavikrds [6]3 years ago

6 0

Answer:

b) μ = 2 and σ = 1.29

Step-by-step explanation:

Step(i):-

Given that the A spinner is divided into six equal-sized sectors labelled 1 through 6

Given that the probability of labelled '1'

$p = \frac{1}{6}$ =0.16

q = 1-p = 1- 0.16 = 0.84

Let 'X' be a random variable in binomial distribution

The mean of the binomial distribution

μ = n p

μ = $12 (\frac{1}{6} ) = 2$

The mean of the binomial distribution = 2

Step(ii):-

The standard deviation of X

σ $= \sqrt{npq}$

σ = $\sqrt{12(0.16)(0.84}$

σ = $1.269$

The standard deviation of the binomial distribution

σ = $1.269$

Varvara68 [4.7K]3 years ago

5 0

Answer:

Step-by-step explanation:

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A resident of Bayport claims to the City Council that the proportion of Westside residents

Kazeer [188]

Answer:

The test statistics is $z = -1.56$

The p-value is $p-value = 0.05938$

Step-by-step explanation:

From the question we are told

The West side sample size is $n_1 = 578$

The number of residents on the West side with income below poverty level is $k = 76$

The East side sample size $n_2=688$

The number of residents on the East side with income below poverty level is $u = 112$

The null hypothesis is $H_o : p_1 = p_2$

The alternative hypothesis is $H_a : p_1 < p_2$

Generally the sample proportion of West side is

$\^{p} _1 = \frac{k}{n_1}$

=> $\^{p} _1 = \frac{76}{578}$

=> $\^{p} _1 = 0.1315$

Generally the sample proportion of West side is

$\^{p} _2 = \frac{u}{n_2}$

=> $\^{p} _2 = \frac{112}{688}$

=> $\^{p} _2 = 0.1628$

Generally the pooled sample proportion is mathematically represented as

$p = \frac{k + u}{ n_1 + n_2 }$

=> $p = \frac{76 + 112}{ 578 + 688 }$

=> $p =0.1485$

Generally the test statistics is mathematically represented as

$z = \frac{\^ {p}_1 - \^{p}_2}{\sqrt{p(1- p) [\frac{1}{n_1 } + \frac{1}{n_2} ]} }$

=> $z = \frac{ 0.1315 - 0.1628 }{\sqrt{0.1485(1-0.1485) [\frac{1}{578} + \frac{1}{688} ]} }$

=> $z = -1.56$

Generally the p-value is mathematically represented as

$p-value = P(z < -1.56 )$

From z-table

$P(z < -1.56 ) = 0.05938$

$p-value = 0.05938$

3 0

3 years ago

How many parallelograms are in an octagonal prism?

Snezhnost [94]

Answer:

In this way, two hexagons and a parallelogram with five inner lines are obtained. Each hexagon has six edges, therefore the prism will have more than 12 edges. At first glance, it is thought that the parallelogram contains nine edges (seven vertical and two horizontal).

6 0

2 years ago

Name:

zzz [600]

Answer:

a)1.5

b)36

c)34

d)5.33333...

e)0

Step-by-step explanation:

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2 years ago

What is the quotient of 1.876 x 10^2 and 6.7 x 10^2 expressed in scientific notation?

neonofarm [45]

Answer:

345600000000 and 670

Step-by-step explanation:

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2 years ago

Oooffff help me I’m dead

yanalaym [24]

Answer: 288cm²

Explanation:
In the given trapezoid, there are 2 right angled triangles and 1 rectangles.

So,

area of trapezoid

=area of 2 right angled triangles +1 rectangle

=2×[16×3]/2 + 15×16

=48+240

=288 cm²

Note:

Area of right angled triangle

=(base× height)/2

&,

Area of rectangle

= length ×breadth

5 0

2 years ago