Eric is a statistician-Viking. He walks into a tavern and makes three statements about the continuity correction. Which are true?
I. You can find single probabilities (such as x - 4) using the normal approximation to the binomial. Do this by finding the probability for the range from.5 below to .5 above the number. (For x 4 you'd find 3.5x 4.5.)
Il. Using the normal approximation, x 4 is the same as x4. Using the exact binomial, x <4 is not the same as x - 4
IlI. The continuity correction removes some of the error introduced when modeling a discrete distribution with a continuous one. The correction increases accuracy by acting as though a number occupies the interval from.5 below it to.5 above it.
A. I only
B. Il only
C. Ill ony
D. I and lll
E. I, I, and III

Answer:

275 days

Step-by-step explanation:

From August 21 to May 23, there is 275 days!

Answer:

Option (3)

Step-by-step explanation:

From the figure attached,

Area of the shaded region = Area of circle - (Area of the ΔOAB + Area of ΔOED)

Area of the circle = πr²

                             = π(5)²

                             = 25π cm²

Area of ΔOAB = 2(Area of ΔOCB)

AB = 6 cm

OC = 5 - 1 = 4 cm

By applying Pythagoras theorem in ΔOCB,

OB² = OC² + BC²

5² = 4² + BC²

BC² = 25 - 16

BC = √9 = 3 cm

Area of ΔOCB = [tex]\frac{1}{2}(OC)(BC)[/tex]

                        = [tex]\frac{1}{2}(4)(3)[/tex]

                        = 6 cm²

Area of ΔAOB = 2(6) = 12 cm²

Area of ΔAOB = Area of ΔDOE = 12 cm²

Area of shaded region = 25π - (12 + 12)

                                      = (25π - 24) cm²

Therefore, Option (3) will be the answer.

Answer:

z = 25

Step-by-step explanation:

adjacent angles in a rhombus are supplementary

3z - 15 + 7z - 55 = 180

10z - 70 = 180

10z = 250

z = 25

Answer:

24/20 cups or 6/5 cups.

Step-by-step explanation:

Good luck :)

Answer:

d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.

Step-by-step explanation:

Meaning of a confidence interval:

A x% confidence interval being between a and b means that we are x% sure that the true population proportion is between a and b.

In this question:

Sample of 600, proportion who wanted to change the law was 33% with a margin of error of +/- 4% (with 95% confidence). This implies:

From the concept of confidence interval above, the correct answer is:

d. We are 95% confident that the true proportion of county residents who want the law changed is between 29% and 37%.

Step-by-step explanation:

Nitrogen is essential for all living things because it is a major part of amino acids, which are the building blocks of proteins and of nucleic acids such as DNA, which transfers genetic information to subsequent generations of organisms.

Answer:

Nitrogen is essential to organisms because nitrogen is needed to make amino acids and proteins and also to make nucleic acids such as DNA and rNA

Answer:

None of these

Step-by-step explanation:

because if we plug in every time we will gwt one solution of X

Answer:

The total number of employees is 377.

Step-by-step explanation:

1. You divide total number of women (232) by the ratio of women. (8)

232/8 =29

2. You take 29 and multiply it by the amount of men in the ratio. (5)

29*5=145

3. Finally you just add the total amount of men (145) and the total amount of women. (232)

232+145=377

I hope this helps!

I tried to explain to the best of my ability.

Answer: 377 employees

Step-by-step explanation:

The ratio of men to women can be represented as [tex]\frac{5}{8}[/tex] where the numerator represents how many men are in the company, and the denominator represents how many women are in the company. Given that there are 232 women in the company, we can replace denominator with 232, and then cross multiply.

[tex]\frac{5}{8}= \frac{x}{232}[/tex]    After cross multiplying, the expression left would be 8x = 1160. To get the final answer, we would only need to simplify this. It would give us a total of 145, which is how many men work in the company.

Lastly, add the the number or men and women working in the company, and that would be the total people that work in the company

Answer:

Its Actually C, just took the quiz right now

Step-by-step explanation:

The sequence Three-halves, four-thirds, five-fourths, six-fifths, ellipsis, is a converging sequence, that converges to 1.

Hence, the 3rd option: "The sequence converges to 1.", is the best choice.

Converging signifies a movement toward something. Diverging denotes moving away from something.

In the question, we are given a sequence: Three-halves, four-thirds, five-fourths, six-fifths, ellipsis.

This can be shown as 3/2, 4/3, 5/4, ...

The general term of this series is (n + 2)/(n + 1).

As it is going on continuously to infinite,

The term can be shown as:

[tex]lim_{n\rightarrow \infty }\frac{n + 2}{n + 1} \\= lim_{n\rightarrow \infty }1 + \frac{1}{n+1} \\=lim_{n\rightarrow \infty }1 + lim_{n\rightarrow \infty }\frac{1}{n+1} \\= 1 + 0 \\= 1[/tex]

Thus, we can see that the sequence, gradually moves to a point. Thus it is converging in nature.

Also, the point it converges is 1.

Hence, 3rd option is the best choice.

Learn more about converging and diverging sequences at

https://brainly.com/question/21654304

#SPJ2

Answer:

6 cm² is correct answer

because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.

Answer:

due

Step-by-step explanation:

Answer:

-0.1692

Step-by-step explanation:

use your cakculator

Answer:

120

Step-by-step explanation:

180-35-25=120

or

35+25=60

180-60=120

Answer:

BC = 200/7 ≈ 28.57

Step-by-step explanation:

Set up a proportion to solve for the missing side length.

BC/CD = FE/EG

BC/25 = 16/14

BC = 16/14 · 25

BC = 200/7 ≈ 28.57

Answer:

33.31 cm or higher

Step-by-step explanation:

Given that:

Mean = 29.79 cm

Standard deviation, s = 1.76 cm

According to the range rule of thumb, values which are greater than or equal to 2 standard deviations from the mean are significantly high values :

Significantly high values are :

Mean + 2(standard deviation)

29.79 cm + 2(1.76)

29.79 + 3.52

= 33.31cm

Answer:

19x

Step-by-step explanation:

12+3+4=19

19x

Answer:

12x+3x+4x=19x

Step-by-step explanation:

Answer:

107

Step-by-step explanation:

Since they are congruent triangles angle B is the same as angle D.

To find D, all angles add to 180 degrees, so:

41+32+x=180

73+x=180

X=107

So angle B is 107 degrees

Answer:

Adam: 52.26°

Step-by-step explanation:

Use Cosine Rule, [tex] Cos(C) = \frac{a^2 + b^2 - c^2}{2ab} [/tex], to find the angle of both players.

✔️Angle of Carlos:

Let the angle be C,

a = 50 ft

b = 40 ft

c = 24 ft

Plug in the values into the equation

[tex] Cos(C) = \frac{50^2 + 40^2 - 24^2}{2*50*40} [/tex]

[tex] Cos(C) = \frac{3,524}{4,000} [/tex]

[tex] C = Cos^{-1}(\frac{3,524}{4,000}) [/tex]

C = 28.24° (nearest hundredth)

✔️Angle of Adam:

Let the angle be C,

a = 30 ft

b = 22 ft

c = 24 ft

Plug in the values into the equation

[tex] Cos(C) = \frac{30^2 + 22^2 - 24^2}{2*30*22} [/tex]

[tex] Cos(C) = \frac{808}{1,320} [/tex]

[tex] C = Cos^{-1}(\frac{808}{1,320)} [/tex]

C = 52.26° (nearest hundredth)

Answer:

$ 6096

Step-by-step explanation:

Let the cost of truck = x

x+19% of x = 9068

x + 0.19x = 9068

1.19 x = 9068

      [tex]x = \frac{9068}{1.19}[/tex]

    x = 7620.17

Reduction = 20% of 7620.17

                 = 0.20 * 7620.17

                 = $ 1524.03

New price = 7620.17 -  1524.03

                  = $ 6096.14

Answer:

16.68

Step-by-step explanation:

just add them like regular numbers then just put the decimal

Answer:

45-32 = 13 / 32 *100= 40.625 round to the nearest percent is 41%

Step-by-step explanation: Brainlest plzzz

Answer:

360 km

Step-by-step explanation:

Let stream speed = x

Speed of water = 3km/hr

Therefore,

Upstream speed = (x - 3) km/hr

Downstream speed = (x + 3) km/hr

Time taken downstream = 15 hours

Time taken upstream = 20 hours

Recall:

Distance = speed * time

Upstream Distance = downstream distance

20(x - 3) = 15(x + 3)

20x - 60 = 15x + 45

20x - 15x = 45 + 60

5x = 105

x = 105 / 5

x = 21

Upstream speed = (21 - 3) = 18

Distance between the two towns :

18 * 20 = 360 km

Answer:

Step-by-step explanation:

No but it is close.   (4x +13x +10) factors into

(4x + 5)(x + 2)

So (x + 2) is a factor along with (4x + 5)

Answer:

hmmmmm

Step-by-step explanation:

Answer:

∠3 = 108

Step-by-step explanation:

∠1 + ∠2=180 because a straight line is 180°

∠1=5x+10  and  ∠2=9x+2

5x+10  +  9x+2 = 14x+12

14x+12=180

180-12=168

168/14=12

x=12

∠2 = 9x+2 = 110

180-110 = 70

∠4 = 70

∠4 + ∠3 + ∠5 = 180

∠5 = 90 -5x = 30

i messed up the process here lol but the answer is for sure right

Answer:

[tex] \arc{PNM} = 222 [/tex]

Step-by-step explanation:

Central angle = measure of the arc it subtends

Therefore:

[tex] \arc{PN} = \arc{PM} = 138 [/tex]

A full circle = 360°

So,

[tex] \arc{PN} + \arc{PM} + \arc{NM} = 360 [/tex]

Plug in the values

[tex] 138 + 138 + \arc{NM} = 360 [/tex]

[tex] 276 + \arc{NM} = 360 [/tex]

[tex] \arc{NM} = 360 - 276 [/tex] (subtraction property of equality)

[tex] \arc{NM} = 84 [/tex]

[tex] \arc{PNM} = \arc{NM} + \arc{PN} [/tex]

Plug in the values

[tex] \arc{PNM} = 84 + 138 [/tex]

[tex] \arc{PNM} = 222 [/tex]

Answer: f=7 x=5

Step-by-step explanation:

I’m not sure because I solved on paper

Answer:im not sure sorry

Step-by-step explanation:

Answer:

i think its 63