Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls- going on the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample? The representative sample contained all 160 students. The representative sample contained more boys than girls. The representative sample contained more girls than boys. The representative sample contained an equal number of boys and girls.​

Answer:

a) 0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied

b) 0.12 = 12% probability that a randomly selected student is in a music class and has been bullied

c) 0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class

Step-by-step explanation:

Probabilities of independent events happening together:

The probabilities of independent events happening together is the multiplication of the probabilities of each event happening.

In this question:

0.23 probability that a student is taking a high-level English class.

0.36 probability that a student has been bullied.

1/3 = 0.3333 probability that a student is in music class.

(a) What is the probability that a randomly selected student is in a high-level English class and has been bullied?

0.23*0.36 = 0.0828

0.0828 = 8.28% probability that a randomly selected student is in a high-level English class and has been bullied

(b) What is the probability that a randomly selected student is in a music class and has been bullied?

0.36*1/3 = 0.12

0.12 = 12% probability that a randomly selected student is in a music class and has been bullied

(c) What is the probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class?

0.23*0.36*1/3 = 0.23*0.12 = 0.0276

0.0276 = 2.76% probability that a randomly selected student is in a music class, has been bullied, and is in a high-level English class

Answer:

D

Step-by-step explanation:

the first of three parts is what 1/3 is

Answer:

87 , 84, 81, 78, 75

Step-by-step explanation:

it goes down each time by threes

9514 1404 393

Answer:

  D.  53 feet

Step-by-step explanation:

The value of the expression when x=0 is ...

  3 + 2(-5)² = 3 + 2(25) = 3 +50 = 53

The initial height of the ball is 53 feet.

9514 1404 393

Answer:

  5 + 8 = 45

Step-by-step explanation:

We observe that the sequence of numbers on the left is arithmetic, with each value increasing by 1 from each expression to the next.

Similarly, we observe that the sequence on the right increases by an increasing amount from one number to the next. First differences are 7, 9, suggesting that each successive line in the table will differ by 2 more than the previous two lines did.

Following this pattern, we have ...

  4 + 7 = 32

  5 + 8 = 45

_____

Additional comment

Here, it seems, the symbol "+" in the expression "a+b" is intended as a stand-in for the function f(a, b). That is, we're given three expressions ...

  f(1, 4) = 5

  f(2, 5) = 12

  f(3, 6) = 21

and asked to predict the value of f(5, 8).

f may be any of a variety of functions. A couple of them are ...

  f(x, y) = x^2 +4y -12

  f(x, y) = y^2 -2x -9

or ...

  f(n, n+3) = n(n+4), which could also be written f(x, y) = x(y+1)

Answer:

AB= [tex]\sqrt(5-1)^2 +(2+1)^2 = \sqrt16+9 =5[/tex]

BC= [tex]\sqrt(5-9)^2 + (2-5)^2 = \sqrt16+9=5[/tex]

AC = [tex]\sqrt(1-9)^2 + (-1-5)^2 = \sqrt64+36 = 10[/tex]

So, AC = AB + BC

A, B, C are collinear points

Step-by-step explanation:

I hope this helps!

Answer:

7150 square feet

Step-by-step explanation:

The area of a rectangle is the length times the width.

110*65=7150

Answer:

Answer is 9 feet = 9 fe 2t

w= 9fe 2t

Step-by-step explanation:

Answer:

The 95% confidence interval for the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is (0.932, 0.992).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The study reports that 152 of 158 procedures were successful.

This means that [tex]n = 158, \pi = \frac{152}{158} = 0.962[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.962 - 1.96\sqrt{\frac{0.962*0.038}{150}} = 0.932[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.962 + 1.96\sqrt{\frac{0.962*0.038}{150}} = 0.992[/tex]

The 95% confidence interval for the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is (0.932, 0.992).

The 95% confidence interval of the true proportion of successful ear-molding procedures among all newborns needing ear-deformity correction is; CI = (0.9322, 0.9918)

We want to find confidence interval and the formula is;

CI = p^ ± z√(p^(1 - p^)/n)

We are told that the study reports that 152 of 158 procedures were successful. Thus;

n = 158

p^ = 152/158

p^ = 0.962

Now, we want to find the confidence interval at a 95% confidence level.

The critical z value for 95% confidence level is;

z = 1.96

Thus;

CI = 0.962 ± 1.96√(0.962(1 - 0.962)/158)

CI = 0.962 ± 0.0298

CI = (0.962 - 0.0298), (0.962 + 0.0298)

CI = (0.9322, 0.9918)

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Answer:

Step-by-step explanation:

goodluck

Answer:

Ask your John Brown teacher!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

Answer: 38.8

Step-by-step explanation:

use formula C = π * D

Diameter = 6

C = π * 6

C = 18.8495559215 = 18.8

18.8 + 10 + 10 = 38.8

Answer:

Marie Skłodowska-Curie

Polish chemist and pioneer in the field of radioactivity. First woman to become a professor at the University of Paris.

^ po polsku być powinno

Kto Polska?

Answer:

21.99 or just round to 22

Step-by-step explanation:

Radius is 3.5

Diameter is 7

Circumference is 21.99

Answer:

1st Circle

Radius = 3.5

Diameter = 7

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 3.5 = 21.98

2nd Circle

Radius = 9

Diameter = 18

Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 9 = 56.52

:DDDDDDDDD

Answer:

[tex]area = {15}^{2} \\ v = \: l \times b \times h \\ area = l \times b = \\ x \times x = {15}^{2} \\ volume = 15 \times h \\ = 15 \times 7 \\ = {105}^{3} feet[/tex]

Answer:

105

Step-by-step explanation:

its right trust me

but make sure this is the question that you are doing

Answer:

yes

Step-by-step explanation:

Answer:

72 in^3

Step-by-step explanation:

Volume: lwh

V = 6 · 3 · 4

V = 18 · 4

V = 72 in^3

Answer:

ZOOM PLZ COME WE R BORED

MEETING ID 798 4170 2552

PASSWORD:XCNeV3

Step-by-step explanation:

Scale factor is 11.39 and ratio is 729:64

The scale factor is a measure for similar figures, who look the same but have different scales or measures.

volume of two similar spheres are 128m³ and 1458m³.

Scale factor= volume of sphere 1/ volume of sphere 2

= 1458/128

= 729/64

= 11.39

and the ratio = 729 : 64

learn more about scale factor here:

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Answer:

[tex]( - 2)[/tex]

Step-by-step explanation:

[tex]1 \div - \frac{1}{2} \\ 1 \times - \frac{2}{1} \\( - 2)[/tex]

Hope this helps you.

have a nice day!

Answer:

37.68 inches OR about 38 inches

Step-by-step explanation:

To find the circumference from the diameter, you need to multiply the diameter by pie (3.14)

Answer:

with?

Step-by-step explanation:

Answer:

I can help you really fast, if you give me something to work on

Step-by-step explanation:

also, my life is blank like this question

Answer:

Variation factor k = 1/3

New volume when the base (area) is 8inches^2 and the height is 12inches is 32 in3

Step-by-step explanation:

As we know,  

The volume of cylinder (V) is given by πr²h  

Here  πr² = base area and h is the height of the cylinder

V ∞ πr²h

V = kπr²h  

Substituting the given values, we get  

40 = 6 x 20 x k

40 = 120k and

k   = ⁴⁰/₁₂₀

    = ¹/₃.

Volume when base area = 8in² and h = 12 inch

V = 8 x 12 x ¹/₃

V = 32in³

Answer: 45%

Step-by-step explanation:

Answer:

First, compute the z-score:

z = (x-μ)/σ = (650-500)/100 = 150/100 = 1.5

Now look up the percentile for z = 1.5 on a z-score table (http://www.z-table.com/).  The percentile, p(z=1.5), is the percent of people who scored 650 or less.  The percent who scored more than 650 is 1-p(z=1.5).  Multiply that by the 1200 students to get the number who scored more than 650.  Round to the nearest whole number (because you can't have a fraction of a person).

For the given data the value of the z score will be 1.5

It is referred to as a measure of data dispersal since it provides information on how widely the data is dispersed.

[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]

σ stands for the standard deviation

x  is the value from the data set

X is the data set mean

n is the number of observations

It is given that, On a standardized exam, the scores are normally distributed with a mean of 200 and a standard deviation of 50.

The Z-score of a person who scored 140 on the exam is as,

z = (x-μ)/σ

z = (650-500)/100

z  = 150/100

z  = 1.5

Thus, the value of the z score will be 1.5

Learn more about the standard deviation here:

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Answer:

8-10i - -16+2i= 236

Step-by-step explanation:

I am brainliest

Answer:

-16

Step-by-step explanation:

(8-10i) - (-16+2i)

2i - (-14i)

-16

Answer:-1

Step-by-step explanation:

Subtract plus 3

Answer:

-1

Step-by-step explanation:

x-y=3

x—Larger number

y—smaller number

x-(-4)=3

x+4=3

x=–1

Answer:

I thinks is the 4th or the last