34 petri dishes are prepared with a growth medium. 16 are randomly selected and treated with antibiotic A. The other 18 are treated with antibiotic B. Each dish is inoculated with a bacteria. Several hours later, the diameter of the bacteria colony in each dish is measured in mm, with these results:


A: 8.59, 7.80, 4.11, 8.68, 8.08, 7.86, 6.97, 8.21, 1.72, 8.13, 7.48, 6.33, 8.32, 8.65, 3.06, 8.90

B: 5.59, 6.96, 5.25, 6.46, 0.09, 7.70, 3.10, 0.94, 7.00, 7.91, 6.39, 7.45, 5.79, 6.66, 5.91, 6.62, 5.07, 7.25


Let µA and µB be the respective population mean diameters across many similar hypothetical experiments. Consider a test at level α = 0.10 of H0 : µA − µB = 0 vs. HA : µA − µB 6= 0.(a) Do you think it is plausible that the samples came from approximately normal distributions? Why or why not?

Answers

Answer 1

Answer:

(a) According to the central limit theorem, the distributions of the sample means of sufficiently large samples randomly selected from a population with mean, μ and standard deviation, σ with replacement will be normally distributed

Therefore, given that the size of the population from which the samples were selected (34 petri dishes) is comparable the sizes of the samples, (16 and 18), therefore, the samples are approximately normal

Also given that the petri dishes were prepared with growth medium designed to increase the growth of microorganisms, with an expected amount of growth, the samples therefore came from approximately normal distributions

Step-by-step explanation:


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Three side lengths of a right triangle are given. Does it matter where you substitute the lengths in the Pythagorean Theorem? Explain.

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the answer is b hope that helps!!

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Answer:

B. half the students answer 70% or 75% of the questions correctly

Question 12
A recipe for 20 rolls requires 5 tablespoons of butter. How many tablespoons of butter are
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answer : is 0.6 Tablespoon

step : 20 rolls = 5 tablespoon

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A toy store manager boxes up dice. Each die weighs the same number of grams and the equation y=20x represents the total weight, y, in grams, of a box when filled with x die. Which graph correctly represents the proportional relationship between the weight and number of die in a box?

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Answer:

2 and x=-2

Step-by-step explanation:

A helicopter is hovering over a landing pad 100 m from where you are standing. The angle of elevation with the ground is 12 degrees. What is the altitude of the helicopter rounded to the nearest tenth.

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Answer:

Step-by-step explanation:

A helicopter is hovering over a landing pad 100 meters from where you are ... If the string is stretched straight, how high is the kite above the ground?

name a pair of parallel lines

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FG and CD

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Answer:

Two lines will be parallel when their slopes are equal, and two lines will be perpendicular when their slopes are negative reciprocals of each other. Our slopes for these two equations are the coefficient for the x value. Both slopes are equal so these lines are parallel

Step-by-step explanation:

What is the measurement of this angle?

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The angle is 35 degrees.

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Answer:

A) the value is less than 67

Step-by-step explanation:

Help me answe this please lol

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Answer:

SAS

is the correct answer of this question

Answer:

SAS

Step-by-step explanation:

SAS is an abbreviation for side angle side, which is what your triangle shows.

Variables are defined by what?

Answers

Answer:

A variable is a quantity that may change within the context of a mathematical problem or experiment. ... The letters x, y, and z are common generic symbols used for variables. Sometimes, we will choose a letter that reminds us of the quantity it represents, such as t for time, v for voltage, or b for bacteria.

Step-by-step explanation:

thats true❤️

Answer:

A variable is a quantity that may change within the context of a mathematical problem or experiment. Typically, we use a single letter to represent a variable. The letters x, y, and z are common generic symbols used for variables.

please mark as brainliest

simplify the following: 3^2 times 3^2 7 times 7^4 10^9 divided by 10^7 5^8 divided by 5

Answers

Answer:

1. 140 times

Step-by-step explanation:

15 POINTS!!! what is 70x11? ​

Answers

70 x 11 is 770 man man mana

Which fraction is equivalent to -3/2?

Answers

3/-2 so the first option

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Answer:

1) True

2) false

3) false

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Aunt Lee bought a toothpaste at a discount of 25%. If the
sales price of the toothpaste was $3, what was the full price
of the toothpaste?
$ ._.00

Answers

Answer:

12

Step-by-step explanation:

3 divided by .25 equals 12. You move the decimal of 25% twice to the left to get .25.

Can someone please help me with this is area of circles

Answers

Given Information :

Radius of the turbine = 32 mπ = 3To calculate :

Area covered by blade when the turbine makes 1 revolution.

Calculation :

We know that,

[tex]\bigstar \: \boxed{\sf {Area_{(Circle)} = \pi r^2}} \\ [/tex]

[tex] \sf \longmapsto {Area = \{3 \times (32)^2 \} \: m^2 } [/tex]

[tex] \sf \longmapsto {Area = \{3 \times 1024 \} \: m^2 } [/tex]

[tex] \longmapsto \sf \red {Area = 3072 \: m^2 } [/tex]

Therefore,

Correct option is option 4th.

What is the distance between (2,-5) and (2,5)

Answers

Answer:

5 Units

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

-5 = 5 from the x-axis

5 = 5 from the x-axis

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What is the approximate perimeter of the trapezoid shown?

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Answer:

d.the correct answer

Step-by-step explanation:

brainleist bunch☺️

Which statements are true about the toolbox? Select two options.
The shape can be broken into a rectangular prism and a triangular prism.
The shape can be broken into a rectangular prism and a rectangular pyramid.
The formula for the volume of this figure is V = B h + one-third B h.
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Answers

Answer:

Option A and E.

Step-by-step explanation:

It is mentioned that Chiyo has a toolbox having a  rectangular prism shape with a length of 8 inches, width of 15 inches, and height of 6 inches.

In addition to this, A triangular prism with a triangular base with base 8 inches and height 3 inches. The prism has a height of 15 inches.  

So here the shape can be broken into a triangular prism and rectangular prism

Therefore the first option is correct

Now as we know that

Volume of the rectangular prism is

= l×b× h

= 8 × 15 × 6

= 720

And, the volume of the triangular prism is bh

And, the area of the triangular prism is 1 ÷ 2 × b × h

= 1 ÷ 2 × 8 × 3

= 12

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= 720 + 180

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Answers

Answer:

1/6

Step-by-step explanation:

Answer:

1/6

Step-by-step explanation:

2/3÷4

2/3×1/4

2×1/3×4

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Answers

Answer:

square = 162 units squared

triangle = 18.7 units squared

Step-by-step explanation:

Common sense

E. a distance of 5 multiply 10^5 cm in 2 multiply 10^-5 seconds

Answers

Answer:

The speed is 900,000,000 km/h

Step-by-step explanation:

The ratio of distance covered to time taken gives the speed of an object

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Given that the distance covered, d = 5 × 10⁵ cm

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In km/h, we have;

1 cm = 0.00001 km

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You are standing on a footbridge that is 12 feet above a lake. You look down and see a duck in the water. The duck is 7 feet away from the footbridge. What is the angle of elevation from the duck to you? Round your answer to the nearest tenth. PLEASE HELPPPPPP

Answers

Answer:

Angle of elevation from the duck is [tex]59.7^{o}[/tex]

Step-by-step explanation:

This description can be represented by the three sides of a triangle and the given angle. Let the angle required be represented by θ. Thus applying the appropriate trigonometric function, we have;

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So that,

Tan θ = [tex]\frac{12}{7}[/tex]

          = 1.7143

θ = [tex]Tan^{-1}[/tex] 1.7143

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θ = [tex]59.7^{o}[/tex]

The angle of elevation from the duck is determined as [tex]59.7^{o}[/tex].

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Answer:

57.6

Step-by-step explanation:

Parallel lines cut by transversals have proportional segments.

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Answer:

12

Step-by-step explanation:

-3,-4 go up 4

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Answers

Answer:

17=s+7

-7    -7

-----------

10    0

s=10

Step-by-step explanation:

-Subtract 7 from both sides

-Remove the 0 and the addition sign

-You are now left with the equation s = 10

-Once you check to make sure 10 + 7 = 17 you have your answer

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The answer is D. 2 you do the equation in prentice first

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Answer:

A. B.

Step-by-step explanation:

Using the diagram shown below, which statement is true?


the measure of
the measure of
the measure of
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Answers

The statement which says that the measure of ∠ABD = ¹/₂ ∠ABC. So, the correct option is C.

Define angle bisector.

An angle bisector is defined as a ray, segment, or line that bisects a given angle into two equal angles. The word bisection or half means dividing one object into two equal or identical parts. In geometry, we usually divide triangles and angles by lines or lines that are considered bisectors.

A geometric bisector is a ray, line, or segment that divides a given angle into two equal parts. For example, the bisector of a 60 degree angle divides it into two 30 degree angles. In other words, split the angle into two smaller congruent angles.

For the given case,

Ray BD bisects ∠ABC into two equal angles ∠ABD and ∠DBC; which can be written as ∠ABD = ¹/₂ ∠ABC.

To know more about angle bisector, visit:

https://brainly.com/question/2478436

#SPJ1

The complete question is as follows:

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