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Answer:

Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.

The mean is of 11.1 and the standard deviation is of 2.64.

Step-by-step explanation:

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Using the normal distribution to approximate the binomial distribution.

This is possible if:

[tex]np \geq 10, n(1-p) \geq 10[/tex]

A survey of U.S. adults found that 37% have been to court. You randomly select 30 U.S.

This means that [tex]p = 0.37, n = 30[/tex]

Test if it is possible:

[tex]np = 30*0.37 = 11.1[/tex]

[tex]n(1-p) = 30*0.63 = 18.9[/tex]

Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], you can use a normal distribution to approximate the binomial distribution.

Mean and standard deviation:

[tex]E(X) = np = 30*0.37 = 11.1[/tex]

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{30*0.37*0.63} = 2.64[/tex]

The mean is of 11.1 and the standard deviation is of 2.64.

Answer:

5.26 hours or 315.6 minutes

Step-by-step explanation:

If he travels 0.19 miles in 1 hour

Then 1 mile is traveled (1x1)/0.19

5.26 approx. hours or 5.26 x 60 mins = 315.6.

Answer: 875 m²

Step-by-step explanation:

Answer:

Step-by-step explanation:

Both of the triangles are special 30-60-90 triangles

and the side lenghts for these angle mesurements are followed : q, q√(3),2q

q is given as 3 from the 9th question

so a = 6 (because it's 2q) and

b = 3

For the 10th question

the side length that sees 30 degrees is 3 which means q = 3 again

and x = 6

y = 3√(3)

Step-by-step explanation:

angle measure a =48/2=24°

the arc measure =360°-48°=312°

Answer:

$2.83

Step-by-step explanation:

5lb × $3.55/lb + 4lb × x = 9 lb ×$3.23/lb

$17.75 + 4lb(x) = $29.07

-$17.75. -$17.75

4lb(x) = $11.32

___________

4lb. 4lb

x = $2.83

9514 1404 393

Answer:

Step-by-step explanation:

The relevant relations are ...

__

Using the second relation, ...

  x = 180° -85° = 95°

  y = 180° -105° = 75°

Using the first relation, ...

  arc ABC = 2y = 2(75°) = 150°

Answer:

13.0833 ft²

Step-by-step explanation:

From the question given above, the following data were obtained:

Radius (r) = 5 ft

Angle sustained by the sector (θ) = 360 – 300

= 60°

Pi (π) = 3.14

Area of sector (A) =?

The area of the sector can be obtained as follow:

A = θ/360 × πr²

A = 60/360 × 3.14 × 5²

A = 1/6 × 3.14 × 25

A = 1/6 × 78.5

A = 78.5/6

A = 13.0833 ft²

Thus, the area of the sector is 13.0833 ft²

Step-by-step explanation:

The angle of the minor sector will be ,

> 360 - 300 = 60° .

Area of sector :-

> Area = ∅ / 360 × πr²

> A = 60/360 × 3.14 × 5ft²

> A = 13.09 ft²

Answer:

a. 250 fields

b. 220 to 280 fields

c. Fields are not independent

Step-by-step explanation:

a. The average number of fields sampled that are infested with whitefly =

number of fields X Percentage sampled, 10%

= 2500 X 10% = 250 fields

b.  Going by the binomial distribution is the square of the standard deviation, divided by (the product of the sample size n, and the probability a and b). While the standard deviation is the square root of the variance

σ = √nab

= √na(1-a) = √2500 X 10% X (1- 10%)

= √225 = 15

Now let's use the empirical rule that says about 95% of the observations are within two standard deviations from the mean since the number of trials is very large

μ - 2σ = 250 - 2(15) = 220

μ + 2σ = 250 + 2(15) = 280

Approximately 220 to 280 fields are expected to be infested going by 95% probability observation

c. Since x=25 is considered small and is not captured within 220 and 280 fields making one of the characteristics of binomial experiment not satisfied which expects each field to be independent. Making fields that are close together more likely to be infected.

Answer:

7 students.

Step-by-step explanation:

1/6 of 30 is 5

3/5 of 30 is 18

18+5=23

30-23=7

Answer:

a

Step-by-step explanation:

hii :)

so we cant add n numbers and not n numbers.

knowing this, we have to somehow put them together.

2n-3+n+4

adding the 2n and n together: 3n-3+4

add -3+4=1

resulting in

3n+1, so the answer is A because n is a full basket and 3 times that is 3 full baskets. (with an extra 1 apple)

i hope this was easy to understand!

Answer:

[tex] \frac{2 }{3} [/tex]

Step-by-step explanation:

Formula is

y=mx+c So,2by 3 is m and x is there and 2 at last is c .

answer is 2 by 3

Answer:

Step-by-step explanation:

You would get the probability of double sixes as:

Correct choice is A

The Robin because there are 36 outcomes and only one is (6, 6) is the correct option.

We have given that,

Robin, Steven, and John are comparing tree diagrams for rolling double sixes on two six-sided number cubes (6, 6).

Robin thinks the probability is 136 based on the tree diagram they created.

Steven disagrees and argues that the probability of rolling double sixes is 16.

John counts twelve outcomes and claims the probability is 112.

The formula to calculate the probability of an event is as follows. Probability(Event) = Favorable Outcomes/Total Outcomes

You would get the probability of double sixes as:

P(6, 6) = 1/6*1/6 = 1/36

Correct choice is A.

Therefore the Robin, because there are 36 outcomes and only one is (6, 6).

To learn more about the probability visit:

https://brainly.com/question/25870256

#SPJ2

Answer:Cannot be solve how much time did she spend all together but adding it all together would be 122 minutes/ she never went swimming

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

MARK AS BRAINLIST!!

Answer:

4.

Step-by-step explanation:

The median is the 'middle number.'

In order to find the median of a data set, you must first put the numbers in numerical order.

2, 7, 5, 4, 3

       ↓

2, 3, 4, 5, 7

The 'middle number' in this data set is 4.

Therefore, the median is 4.

Answer:

Answer is 12

Step-by-step explanation:

angle BCF+angle CFE=180(being co-interior angle)

4x+11x=180

15x=180

x=180/15

x=12

Answer:

The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]

Step-by-step explanation:

Elliot read a report from a previous year saying that 6%, percent of adults in his city biked to work. He wants to test whether this proportion has changed.

At the null hypothesis we test if the proportion is still the same, that is, of 6%. So

[tex]H_0: p = 0.06[/tex]

At the alternate hypothesis, we test if the proportion has changed, that is, it is different of 6%. So

[tex]H_1: p \neq 0.06[/tex]

What is an appropriate set of hypotheses for his significance test?

The appropriate set of hypothesis for his significance test is null hypothesis [tex]H_0: p = 0.06[/tex] and alternate hypothesis [tex]H_1: p \neq 0.06[/tex]

CORRECT (SELECTED)

z=\dfrac{0.1-0.06}{\sqrt{\dfrac{0.06(0.94)}{240}}}z=

240

0.06(0.94)

​

​

0.1−0.06

​

Answer:

[tex]\sigma_x= 1.75\%[/tex]

Step-by-step explanation:

Given

[tex]n = 64[/tex]

[tex]\mu = 78\%[/tex]

[tex]\sigma = 14\%[/tex]

Required

The sample standard deviation

This is calculated as:

[tex]\sigma_x= \frac{\sigma}{\sqrt n}[/tex]

This gives:

[tex]\sigma_x= \frac{14\%}{\sqrt {64}}[/tex]

[tex]\sigma_x= \frac{14\%}{8}[/tex]

[tex]\sigma_x= 1.75\%[/tex]

Answer:

47 squares

Step-by-step explanation:

Looking at your question was quite confusing.

So, I'll assume that you're looking for the amount of squares that can fit within the specified area.

To find area: we would do A = L x W

So, our values are 21W and 9L.

Plug it in.

A = 21 x 9

A = 189 square meters

Then, we would find the number of squares that could fit in the area.

A square meter is a square with a side length of 1 meter on each side.

So, 1 x 4 = 4

Divide 189 by 4.

189/4 = 47.25

1/4 is the remainder.

So, our total is 47 squares.

Do please, tell me if I did it incorrectly, since the context is quite vague.

Answer:

Manuel owns 5 DVDS

Step-by-step explanation:

3/5 = 12/20

12 - 7 = 5

you watch seven deadly sins?

Answer:

C

Step-by-step explanation:

18 boys

Answer:

i think 18 msy be

Step-by-step explanation:

Answer:

(2w^2) + (-1w) + (-91)

Step-by-step explanation:

The equation that can be used to find the width, w, of the rectangle with the given area is: 2w² - w - 91 = 0.

Area pf a rectangle = length × width

Given the following:

Equation for finding w, using the area formula, would be:

(2w - 1)(w) = 91

2w² - w - 91 = 0

Therefore, the equation that can be used to find the width, w, of the rectangle with the given area is: 2w² - w - 91 = 0.

Learn more about area of rectangle on:

https://brainly.com/question/25292087

Answer:

C, D

Step-by-step explanation:

in the first coordinate plane, both numbers in a coordinate must be positive

Answer:

Step-by-step explanation:

A cross section perpendicular to the base through the top vertex is a triangle with the same dimensions as the triangular sides of the pyramid.

A cross section perpendicular to the base through the top vertex is a triangle with different dimensions than the triangular sides of the pyramid.

its C and D i think good luck people

<3

Answer:

Angle C = 106 degrees

Step-by-step explanation:

I'm thinking the question should read "Angles a and C are supplementary" (software error, not yours)

Supplementary angles add up to 180 degrees

180 - 74 = 106 degrees

Answer:

An acute triangle

Step-by-step explanation:

Answer:

p=44,A=120

Step-by-step explanation:

P=10+12+10+12

P=44cm

A=10*12

A=120cm^2