a manufacturer must test that his bolts are 5.00cm long when they come off the assembly line. he must calibrate his machines if the bolts are too long or too short. after sampling 49 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.88cm. he knows that the population standard deviation is 0.44cm. assuming a level of significance of 0.01, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? step 2 of 3 : compute the value of the test statistic. round your answer to two decimal places.

Answers

Answer 1

Given that the test's p-value is 0.0562>0.05, there is enough data to conclude that the machines' manufacturer should perform a new calibration.

What is test statistic?

A statistic employed in statistical hypothesis testing is known as a test statistic. A test statistic, which can be thought of as a numerical summary of a data set that condenses the data into a single value that can be used to conduct the hypothesis test, is how a hypothesis test is commonly expressed.

Here,

x=4.88 cm

μ=5 cm

σ=0.44 cm

n=49

The test statistic,

=(4.88-5)/(0.44/7)

z=-1.909

The p-value of the test is the probability that the sample mean is different by at least 4.88 - 5 = 0.12 from the target value, which is P(|z| > -1.909), which is 2 multiplied by the p-value of z = -1.909

At z=-1.909, p-value=0.0281

2*0.0281=0.0562

The test's p-value is 0.0562>0.05, indicating that there is enough data to conclude that the machines' manufacturer should perform a recalibration.

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Related Questions

Consider matrix A
135
3 5
A =
2
8 -1 3
What matrix results from -8*4?
A?

Answers

Answer:

[tex]\begin{pmatrix}24&-40&-16\\ -64&8&-24\end{pmatrix}[/tex]

Step-by-step explanation:

Each element of the matrix is multiplied by -8

golden rectangles are rectangles for which the ratio of the width w to the length l is equal to the ratio of l to l 1 w. the ratio of the length to the width for these rectangles is called the golden ratio. find the value of the golden ratio using a rectangle with a width of 1 unit

Answers

golden rectangles are rectangles for which the ratio of the width w to the length l is equal to the ratio of l to l 1 w. The value of this golden ratio = 1/2 (1 + √5) = 1.618

Ratio:

Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion. We apply the concepts of ratio and proportion every day, for example, while dealing with money in business or when preparing any meal, etc. Students occasionally struggle to understand the difference between ratio and proportion.

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you have a set of points with a y:x constant ratio of 3:7. what is the equation of the line passing through these points?

Answers

The equation of the line passing through these points i.e (7,3 ) and (14,6) is

y = (3/7) x or 3x - 7y = 0 ,

Which is linear equation of two variables.

A linear equation is an algebraic equation of the form y = mx + b , with only one constant and one first-order (linear) term, m is the slope and b is the y-intercept.

We have given that,

the ratio of y and x is y : x = 3 : 7

So the ratio of x and y can be expressed as ,

x : y = 7 : 3 ( reverse order)

So let's consider two points as

(x₁, y₁)=(7 , 3) and (x₂, y₂) = (14 , 6)

The equation of the line passing through these points will be,

( y - y₁ )/ (y₂ - y₁) = (x - x₁)/(x₂ - x₁)

=> (y - 3)/(6-3) = (x - 7)/(14 - 7)

=> (y - 3)/3 = (x - 7)/7

=> 7(y - 3) = 3( x - 7)

=> 7y - 21 = 3x - 21

=> 7y = 3x

=> y = (3/7) x

Hence, y = (3/7) x is required equation of line.

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digoxin is a drug often prescribed to treat heart ailments. the purpose of a study by parker et al. (a-4) was to examine the interactions of digoxin with common grapefruit juice. in one experiment, subjects took digoxin with water for 2 weeks, followed by a 2-week period during which digoxin was withheld. during the next 2 weeks subjects took digoxin with grapefruit juice. for seven subjects, the average peak plasma digoxin concentration (cmax) when taking water is given in the first column of the following table. the second column contains the percent change in cmax concentration when subjects were taking the digoxin with grapefruit juice [gfj (%) change]. use the cmax level when taking digoxin with water to predict the percent change in cmax concentration when taking digoxin with grapefruit juice.
Cmax (ngl/ml) with Water Change in Cmax with GFJ (%)
2.34 29.5
2.46 40.7
1.87 5.3
3.09 23.3
5.59 -45.1
4.05 -35.3
6.21 -44.6
2.34 29.5

Answers

The graph of the change in Cmax is (see in attachments).

Cmax  Change in Cmax  predicted percentage

2.34                         29.5 22.96%

2.46                 40.7         20.62%

1.87                         5.3         32.14%

3.09                23.3          8.32%

5.59               -45.1     -40.47%

4.05                     -35.3        -10.42%

6.21                      -44.6        -52.58%

2.34                       29.5          22.96%

Graph:

A graph is a logical visual representation of any data in mathematics. The correlation between the variable values is depicted on the graph. A graph is used in graph theory to depict a group of items that are interconnected in some way. In essence, the vertices or nodes of the objects are mathematical notions, and the edges are representations of the connections between the nodes. In mathematics and statistics, many graph types are used to visually display data. The study of points and lines is the focus of the field of graph theory. It is a branch of mathematics with a focus on graph analysis. The mathematical truth is visually illustrated in this image. Relationships are studied using the graph theory.

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Which fraction equals a repeating decimal?
A: 18/81
B: 11/88
C: 1/5
D: 5/8

Answers

Answer:

A: 18/81

Step-by-step explanation:

A: 18/81 = 0.222222222.....

B: 11/88 = 0.125

C: 1/5 = 0.2

D 5/8 = 0.625

Could you please give me brainiest for this? I just need 1 more to get to the next level. Thanks!

The value of y varies exponentially with respect to x and the 1-unit growth factor is 1.7. Which of the following is the best explanation for the meaning of this growth factor?
Whenever x changes by 1, the value of y becomes 1.7 units larger than its previous value.
Whenever x changes by 1, the value of y becomes 11.7 times as large as its previous value.
Whenever x changes by 1.7, the value of y doubles its previous value.
Whenever x changes by 1.7, the value of y becomes 1 unit larger than its previous value.
Whenever x changes by 1, the value of y becomes 1.7 times as large as its previous value

Answers

We can say that whenever x changes by 1, the value of y becomes 1.7 times as large as its previous value.

Given that,

With respect to x, the value of y varies exponentially, and the 1-unit growth factor is 1.7.

We have to find which of the following best describes the significance of this growth factor.

We know that,

The required expression for y with respect to x is

y=(1.7)ˣ------>equation(1)

1.7=1- unit growth factor.

When ever x changes by 1.

x=x-1----->equation(2)

Putting equation (2) in (1)

y'=1.7ˣ⁺¹

y'=1.7ˣ×1.7----->equation(3)

Here [ y is new value after increase]

Taking ratio of (3) and (1)

y'/y= (1.7)ˣ×(1.7)/(1.7)ˣ

y'=(1.7)y

Therefore, We can say that whenever x changes by 1, the value of y becomes 1.7 times as large as its previous value.

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a rhombus has side lengths of 10 and a diagonal measuring 12. what is the length of the other diagonal?

Answers

When the other diagonal is 12 inches long and the side is 10 inches long, the diagonal is 16 inches long.

What is rhombus?

A rhombus is a quadrilateral with four equal-length sides in planar Euclidean geometry. The term "equilateral quadrilateral" refers to a quadrilateral whose sides all have equal lengths. A quadrilateral with all equal sides is a rhombus. Rhombuses are a particular kind of parallelogram in which all of the sides are equal since the opposing sides of a parallelogram are equal. A quadrilateral with four equal sides that has the shape of a diamond is called a rhombus. In everyday life, rhombus-shaped objects can be seen.

Here,

The length of side=10 inch

The length of diagonal= 12 inch

Let the length of diagonal be x.

6²+(x/2)²=10²

(x/2)²=64

x/2=8

x=16 inch

The length of diagonal is 16 inch when other diagonal measure 12 inch and side measures 10 inch.

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Convert to standard form:


[tex]y = \frac{5}{12}x - \frac{1}{2}[/tex]

Show work please

Answers

Answer: x=12y+6/5

Let's solve for x.

y=5/12x − 1/2

Step 1: Flip the equation.

5/12x + −1/2 =y

Step 2: Add 1/2 to both sides.

5/12x + −1/2 + 1/2 = y + 1/2

5/12x = y + 1/2

Step 3: Divide both sides by 5/12.

5/12x 5/12 = y + 1/2/5/12

x=12y + 6/5

a radioactive substance decays exponentially. a scientist begins with 110 milligrams of a radioactive substance. after 22 hours, 55 mg of the substance remains. how many milligrams will remain after 32 hours?

Answers

A radioactive substance will have a decay of A ≈ 31.1936 mg after 32 hours.

Radioactive decay (additionally referred to as nuclear decay, radioactivity, radioactive disintegration, or nuclear disintegration) is the manner with the aid of using which an volatile atomic nucleus loses electricity with the aid of using radiation. A fabric containing volatile nuclei is taken into consideration radioactive.

Every atom seeks to be as strong as possible. In the case of radioactive decay, instability happens whilst there's an imbalance withinside the quantity of protons and neutrons withinside the atomic nucleus. Basically, there's an excessive amount of electricity withinside the nucleus to preserve all of the nucleons together.

Initial Radioactive substance, A₂ = 110 mg Remains substance, A = 55 mg time, t = 22 hours

Here, radioactive substance decay. exponentially.

[tex]a=a_{0}e^{at} \\\\55=110*e^{22k} \\\\\frac{55}{110} = e^{22k} \\\\ \\e^{22k} =\frac{1}{2}[/tex]

Taking lo both side, we get ln (1/2) = lne²²K

ln (1/2) = k*22

[tex]k=\frac{ln(1/2)}{22}[/tex]

K = -0.03150669

Substance remains after 32 hours,

t=32 hr

[tex]A=110*e^{( (-0.03150669))*32} \\A=110*e^{(-1.2602676)} \\\\[/tex]

A = 110x 0.283578131

A = 31.19359441

A ≈ 31.1936 mg

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2. solve the equation p2 4p = 1 by completing the square. show your work.

Answers

The value of 'p' obtained by completing the square is √5 - 2.

Define the term completing square?Completing the square is the process of engineering the quadratic equation to produce a perfect square by adding and subtracting both from sides.

The given equation in the question is-

p² + 4p = 1

4 divided by half is 2, but 2 squared is 4, therefore

p² + 4p + 4 = 1 + 4

Putting that part of "b" between parenthesis is the simplest method to describe it at this point.

(p + 2)² = 5

The result of multiplying (p + 2)(p + 2) is p² + 4p + 4.

A square root from both sides is now calculated.

p + 2 = √5

p = √5 - 2

Thus, the value of 'p' obtained by completing the square is √5 - 2.

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The correct question is-

Solve the equation p² + 4p = 1 by completing square.

Please answer number 2 I think I answer is A but please explain how you got your answer.

Answers

Answer is A. 60 laps

Step by step

She needs $80
She makes .75 per length she swims
She gets a one time $35 for the swim

We can use y intercept formula y=mx+b

$80 is your output or y
.75 is your rate
x is your unknown
b is your one time number that doesn’t change, on a graph it would be the y intercept or starting point

$80 = .75x + 35
Subtract 35 from both sides to isolate x
80 - 35 = .75x +35 -35

45 = .75x

Divide both sides by .75 to solve for x

45/.75 = .75/.75 x

60 = x

i need help on this! i did the first part though

Answers

Answer:

Winning jump = 5.474

Her best jump = 4.76

Step-by-step explanation:

4.25×1.12=4.76

4.76×1.15=5.474

a company produces steel rods. the lengths of the steel rods are normally distributed with a mean of 155.1-cm and a standard deviation of 1.4-cm. for shipment, 30 steel rods are bundled together. find the probability that the average length of a randomly selected bundle of steel rods is greater than 155.8-cm. p(m > 155.8-cm)

Answers

The probability that the average length of a randomly selected bundle of steel rods is 155.8 then P = 0.174 cm

Given sample size 'n' = 30 steel rods

Mean of the Population = 155.1 cm

Standard deviation of the Population = 1.4 cm

Given x⁻ be the random variable of Normal distribution

Let x₁⁻ =  155.8cm

The probability that the average length of a randomly selected bundle of steel rods is  155.8-cm.

P(x⁻₁ < x⁻ <x⁻₂) = P(Z₁ < Z <Z₂)

                      = P(Z <Z₂) - P(Z<Z₁)

                     = 0.5 +A(1.629) - (0.5 +A(0.7541)

                     = A(1.629) - A(0.7541)

                     = 0.4474 - 0.2734

                     = 0.1

The probability that the average length of a randomly selected bundle of steel rods is 155.8 cm = 0.174

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alyssa finds the measurement of a rock sample to be 16 grams. what does she now know about the rock?

Answers

Alyssa knows the mass of the rock is 16 grams.

Measurement is a method in which the property of an object are determined by comparing them to the standard quantity.

It is important metric to express any quantity of object , things.

Some basic type of measurement are:

Time = Seconds , minutes and hours are some units which are used to represent timeLength = units are meter , centimeter etc.Weight = units included grams , kilogram , tons etc.Temperature = units for temperature is centigrade , Fahrenheit

According to the question

It is given that Alyssa finds the measurement of a rock sample to be 16 grams

Here, 18 grams is the mass of the rock

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Dilate A(-1,-1),D(0,2),I(3,1) by scale factor of 2 from the origin

Answers

The points after dilation will be A'(-2, -2), D'(0, 4), L'(6, 2) if the points are  A(-1,-1),D(0,2),I(3,1)

What is dilation?

The transformation dilation is used to resize an item. Dilation is a technique for making items appear larger or smaller. The image created by this transformation is identical to the original shape.

It is given that:

Dilate A(-1,-1),D(0,2),I(3,1) by scale factor of 2 from the origin

After dilation:

A (-1,-1) --> ( -1x2 , -1x2 ) --> (-2, -2)

D (0,2) --> ( 0x2 , 2x2 ) --> (0, 4)

L (3,1) --> ( 3x2 , 1x2 ) --> (6, 2)

Thus, the points after dilation will be A'(-2, -2), D'(0, 4), L'(6, 2) if the points are  A(-1,-1),D(0,2),I(3,1)

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the screenshot is the work that i need help with

Answers

Answer:

Step-by-step explanation:

I NEED HELP!! IM RUNNING OUT OF TIME!!!

Domain and range of G?

G = {( -8, 7 ), ( -9, 0 ), ( 3, 7 )}


Write answers as set notation

Answers

For the given set G = {(-8, 7), (-9, 0), (3, 7)}, domain is {-8, -9, 3} and range is {7, 0, 7}.

What is domain?

Domain is the values of all inputs, In a function f(x), the set of all values of x is called domain

The given set is,

G = {( -8, 7 ), ( -9, 0 ), ( 3, 7 )}

Since, domain is the set of all values of x,

And range is the set of all values of y

In the given set,

Domain = {-8, -9, 3}

Range = {7, 0, 7}

The domain is {-8, -9, 3} and range is {7, 0, 7}.

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A line passes through (9,-1) the point and has a slope of 2/3.

Write an equation in slope-intercept form for this line.

Answers

Answer:

y = 2/3 x - 7

Step-by-step explanation:

y = mx + b

y = 2/3 x + b

-1 = 2/3 × 9 + b

-1 = 6 + b

b = -7

y = 2/3 x - 7

Answer:

y = 2x-17

Step-by-step explanation:

We have a point and a slope, we can write the equation in point slope form and then convert to slope intercept form

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point

y-1 = 2(x-9)

Distribute

y-1=2x-18

Add 1 to each side

y-1+1 = 2x-18+1

y = 2x-17

This is slope intercept form

Step-by-step explanation:

question a 15-foot ladder is leaning against a wall. the top of the ladder is sliding down the wall at a rate of 2 ft/sec. how fast is the bottom of the ladder moving when it is 12 feet away from the wall?

Answers

Speed the top of the ladder is sliding down = 1.6ft/sec  when it is 12 feet away from the wall

15-foot ladder is leaning against a wall.

the top of the ladder is sliding down the wall at a rate of 2 ft/sec.

how fast is the bottom of the ladder moving when it is 12 feet away

Using equivalent proportion

15 ft -------------------2ft/sec

12 ft-------------------X ft/sec

Hence X = (12 x 2) ÷ 15 =1.6 ft/sec

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an initial population of 765 quail increases at an annual rate of 16%. write an exponential function to model the quail population. what will the approximate population be after 4 years?

Answers

An exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

Population growth is seen to increase at an exponential rate. We use the following to model this growth.

y = A₀(1 + r)ⁿ

where

y = value at time

A₀ = original value

r = rate of growth

n = time elapsed

An exponential function that models the quail population is set up like:

y = 765(1+0.16)ⁿ

so that, for example, if we wanted to figure out the population at time (4 years), then we would set up the function as follows,

y = 765(1+0.16)⁴

y = 765(1.16)⁴

y = 765* 1.81

to get

y = 1384.65 quails after 4 year has elapsed.

Hence, an exponential function to model the quail population is y = 765(1+0.16)ⁿ and the approximate population be after 4 years is 1384.65 quails.

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Find the least common denominator (LCD) of 11/10 and 4/15 .

Answers

I think its 30!

Please let me know if its right!

one leg of a right triangle has length 17 inches; the hypotenuse is 31.4 inches. what is the length of the other leg of the triangle?

Answers

The length of the other leg of the triangle is 26.4 inches.

Here, we are given that one side of a right angled triangle has length 17 inches and the hypotenuse is 31.4 inches.

Now, the Pythagoras theorem states that, in a right angled triangle, the following equation holds-

[tex]hypotenuse^{2} =height^{2} +base^{2}[/tex]

we already know two of these values so we can calculate the 3rd one.

Let the length of the 3rd side be x inches.

then, substituting the values in the Pythagoras equation, we have-

[tex]31.4^{2}[/tex] = [tex]17^{2}+ x^{2}[/tex]

985.96 = 289 + [tex]x^{2}[/tex]

[tex]x^{2}[/tex] = 985.96 - 289

[tex]x^{2}[/tex] = 696.96

x = 26.4

Thus, the length of the other leg of the triangle will be 26.4 inches.

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Need Urgent help please. Let y = f(x) be a cubic polynomial with leading coefficient a = 2 and f(-2) = f(1) = f(2) = 0. find the factored form of f.

Answers

Answer:

-2

Step-by-step explanation:


8283’a

the national center for health statistics has found that there is a 0.41% chance that an american citizen will die from falling. what is the probability that you will not die from a fall? (round to the nearest hundredth of a percent)

Answers

If there is a 0.41% chance that an American citizen will die from falling, then the probability  that you will not die from a fall is 99.59%

The chances of an American citizen will die from falling = 0.41%

The probability is the ratio of number of favorable outcomes to the total number of outcomes

The equation will be

The probability = Number of favorable outcomes / Total number of outcomes

The probability  that you will not die from a fall = 1 -  The chances of an American citizen will die from falling

Substitute the values in the equation

The probability  that you will not die from a fall = 1 - 0.41

= 99.59%

Therefore, the probability  that you will not die from a fall is 99.59%

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The mean number of years Americans work before retiring is 34. Which of the following will be a Type I error? (A) We conclude that the mean is 34 years when it really is not 34 years. (B) We conclude that the mean is 34 years when it really is 34 years. (C) We conclude that the mean is not 34 years when it really is 34 years. (D) We conclude that the mean is not 34 years when it really is not 34 years.

Answers

The error of type I is Despite the fact that the median age is 34, we get to the conclusion that it is not. The appropriate response to this question is option C.

A Type I error is rejecting the null hypothesis when it is actually true. It involves making inferences from statistically significant outcomes even though they might have happened by chance or for other reasons.

The probability of error will depend on the significance level (alpha or) that you choose. In order to determine the statistical likelihood of receiving your results, you established that number at the outset of your investigation (p-value).

The usual level of significance is 0.05 or 5%. The likelihood that the null hypothesis is true is only

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the population of a town increased from 3600 in 2005 to 5650 in 2011. find the absolute and relative (percent) increase.

Answers

Absolute increase in population will be 2050

And percentage increase will be 56.94 %

We have given population in 2005 is 3600

And population in 2011 is 5650

So absolute increase in population = 5650-3600 = 2050

We have to find the percentage increase in population

So relative percentage increase in population will be 2050/3600 *100 = 56.94  %

So population will increase by 60 %

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Which of these tables (if any) represent a proportional relationship?

Answers

Answer: none of them

Step-by-step explanation:

they are not equal and dont look right i dont think im sorry if i get it wrong

A function has a constant halving time. What type of function does this represent?.

Answers

An exponential decay function is one that has a constant time of halving.

What is function?

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a connection between inputs in which each input is connected to precisely one output.

Here,

The function which has a constant halving time is in the following form,

A(t)=A₀(¹/²)^(t/h)

Where:  A₀ is the initial amount

             h   is the half life time or the halving time.

             t    is the time

             A(t) the amount that remains at time t

The previous function represents an Exponential decay function.

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when constructing a confidence interval for a population mean from a sample of size 10, the number of degrees of freedom for the critical value is

Answers

the Degree of freedom is 9.

What is confidence interval?

A confidence interval (CI) for an unknown parameter in frequentist statistics is a range of estimations. The most popular confidence level is 95%, but other levels, such 90% or 99%, are occasionally used for computing confidence intervals. The fraction of related CIs over the long run that actually contain the parameter's true value is what is meant by the confidence level. The degree of confidence, sample size, and sample variability are all factors that might affect the width of the CI. A larger sample would result in a narrower confidence interval if all other factors remained constant. A wider confidence interval would also be required by a higher confidence level and would be produced by a sample with more variability.

We have given,

Sample size =n=10

Degree of freedom =n-1=10-1=9

Hence the Degree of freedom is 9

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given cos(-x) = 3/4 and tanx= √7/3, find sin(-x)

Answers

The trigonometric function sin(-x) is -√7/4 when cos(-x) = 3/4 and tanx= √7/3

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given,

cos(-x) =cosx= 3/4

and tanx=

We need to find sin(-x)

tank is ratio of sinx and cosx

We know that tanx=sinx/cosx

√7/3=sinx/3/4

Apply cross multiplication

sinx=√7/3.3/4

sinx=√7/4

sin(-x)=-sinx=-√7/4

Hence, Trigonometric function sin(-x) is -√7/4 when cos(-x) = 3/4 and tanx= √7/3

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job scheduling consider the problem of scheduling n jobs of known durationst1, t2,...,tn for execution by a single processor. the jobs can be executed in any order, one job at a time. you want to find a schedule that minimizes a 1.2 m long beam is free to rotate about its left end. what force f must be applied at the right end for the beam to not rotate? the nurse is caring for an older adult who is hearing impaired and cannot wear his glasses because they are broken. what interventions would be appropriate? select all that apply. Expand the given logarithm and simplify. Assume when necessary that all quantities represent positive real numbers. Be sure to factor out any common factors in your final answer. log5(125/ x^{2}-576) over time, the tension between the two species over access to the crevices becomes intense. divers at the site observe actual fights between the eels and the octopuses. usually, it is the moray eel that wins in these fights. after a few years, octopuses disappear completely from this reef, and all of the crevices are occupied by eels. this result means that this scenario is an example of 2x - x - 6x-1/x-1 what did the custom of marrying off girls very young indicate about roman society? what is true about lead time? group of answer choices it does not tell you how much inventory is in your process it tells you who will lead the evaluation of cycle time it only useful to identify how much inventory is delaying the output of work it tells you how long the customer needs to wait until product is completed 22.6 grams of mercury ii nitrate, hg(no3)2 reacts with an excess of potassium, k. how many grams of mercury is formed? the other product is potassium nitrate, kno3. the temptation to read to the audience, making the speaker appear distant and disinterested, is characteristic of which method of delivery? Which postulate of natural selection is deliberately enforced by dog breeders using artificial selection?. A 90 Kg Painter Is Standing On 4 Kg Board, Which Is 12 M Long And Suspended On Each End By A Rope. The Painter Is Standing 3 M From The Left Side, Closer To The First Rope. Q1) Find The Tension In The First Rope. Q2) Find The Tension In The Second Rope. Q3) The Painter Climbs Down From The Board, Just Before The Second Rope Suddenly Snaps. Find The instantaneous angular acceleration of the board which lighting method has most of the light from the light source reflected away from the camera, with the light usually at an angle of less than 45 degrees or focused off the object Predict the consequences of investors doubting the federal governments ability to repay the national debt. The inheritance pattern of one gene will not affect the inheritance pattern of another gene. This is known as (1 point)O independent assortment.O genetic variation.O crossing over.O random distribution. Hurricane season for the atlantic ocean lasts from june to november. Which factor makes an atlantic hurricane less likely to form during the month of march?. Serena estimates that she can paint 60 square feet of wall space every half-hour.write an equation for the relationship with time in hours as the independent variable.can Serena paint 400 square feet of wall space in 3.5 hours?why or why not? The sales philosophy and process that emphasizes a commitment to maintaining customer relationships over the long term and investing in opportunities that are mutually beneficial to all parties is known as ________ selling. 2. what trend do you see in the speed of the reaction as you go down the column in a chemical family your training will begin next week on monday at 10 a.m. you will begin by meeting our human resources manager. which is the best revision for the e-mails subject line?