A manager notices that the employees in his division seem under heightened stress. he reviews their results on the osi and notices that the distribution of 25


employees in his division has a mean of 53. he notices that the mean of entire department is 49 (n=150). sd for both = 10.


what are the 95% confidence limits for the division?

The best interpretation of K'(3)=-135 is that the rate of change of the population of deer in a forest at time, t = 3 days is 135.

Differentiation is used in math to describe the rate of change of a function with respect to a variable

The question has the function as the population of deer in a forest  dependent on the time in days

differentiation is a term that used for rate of change hence the statement K'(3)=-135 is solved for as follows

K'(3)=-135 represents the rate at which the number of deer increase or decrease in 3 days interval

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The population mean is equal to 80 for the mean of a sampling distribution of sample means with n=49, and the standard deviation is equal to 1/√(n).

The standard deviation is a statistician's gauge of a group of values' degree of dispersion or variation. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the expected value) of the set.With a sample size of 49, the mean of a sampling distribution of sample means is equal to the population mean of 801.

With a sample size of n=49, the standard deviation of a sampling distribution of sample means is identical.

n=49 is equal to σ/√(n)

= 7/√(49) = 1¹

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The correct statements are:

1) Leena consumed 1,500 calories at dinner.

2) The equation  2/3(x + 400 + 350) = x

In this question we have been given Leena consumes 400 calories at breakfast and 350 calories at lunch. she consumes 2/3 of her daily calories at dinner.

We need to select a statement that describes the situation  if x represents the calories consumed at dinner.

Let x be the calories consumed at dinner.

Leena consumes 400 calories at breakfast and 350 calories at lunch.

So, the daily calories consumed by her:

400 + 350 + x

Given that she consumes 2/3 of her daily calories at dinner.

From given conditions we get an equation,

x = 2/3(x + 400 + 350)

3x = 2(x + 750)                          ............(multiply both sides by 3)

3x = 2x + 1500                

3x - 2x = 2x + 1500 - 2x            ...............(subtract 2x from both sides)

x = 1500 calories

Therefore, Leena consumed 1500 calories at dinner.

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Answer:

584

Step-by-step explanation:

Hope this helps

If there is sufficient evidence exist to conclude the mean amount of milk in cartons is less than 32 ounces, then we have to use one sample t test (option b).

In this case, we have a sample of 22 cartons and we want to determine if the mean amount of milk in the cartons is less than 32 ounces. Since we are only dealing with one sample and comparing its mean to a known population mean of 32 ounces, we can use a one sample t test. This test will help us determine if the sample mean is significantly different from 32 ounces.

To perform a one sample t test, we need to calculate the sample mean and sample standard deviation of the amount of milk in the 22 quart cartons. We can then use these values, along with the known population mean of 32 ounces, to calculate the t statistic. This t statistic will tell us how many standard errors the sample mean is away from the hypothesized population mean of 32 ounces.

We can then calculate the p-value, which is the probability of getting a t statistic as extreme as the one we calculated, assuming the null hypothesis is true.

If the p-value is less than our chosen significance level (usually 0.05), we reject the null hypothesis and conclude that there is sufficient evidence to support the alternative hypothesis that the mean amount of milk in the cartons is less than 32 ounces.

Hence the correct option s (b).

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Answer: 7/15

Step-by-step explanation:

1. Most probability questions are asking to find the favourable outcomes over the number of total outcomes.

The favourable outcomes will be green marbles.

There are 7 green marbles, so there are seven favourable outcomes.

There 6 + 7 + 2 = 15 total outcomes.

Thus, there are 7/15 favourable outcomes.

0.8465 is the probability that the system operates if the probability that each component functions equals to 0.90, 0.99, and 0.95 respectively.

As the components are in a series system, this means that all the components have to function in order for the system to operate, and the failure of any one of the components to function will result in the system not operating.

Therefore, the probability for the system to operate is the probability that all the components c1, c2, and c3 function together

The probability of multiple events occurring together can be found by multiplying the probabilities of each event by one another.

Therefore;

Probability = 0.90 × 0.99 × 0.95

Probability = 0.84645

Rounding it off to 4 decimals as follows;

Probability = 0.84645 = 0.8465

Therefore, the probability that the system operates is calculated to be 0.8465.

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Divide distance by time

Truck : 333/6 = 55.5 miles per hour

Car: 210/4 = 52.5 miles per hour

Answer:

Below.

Step-by-step explanation:

Speed of truck = 333/6 = 55.5 mph.

Speed of car = 210/4 = 52.5 mph.

Answer:

Rational

Step-by-step explanation:

any number that can be written in fraction form is a rational number

hope this helps

Answer:

Calm down, I gotcha!

Step-by-step explanation:

4 7/12+ 2 3/4+ 7 5/12=14.75

\(-7,5 + 4,2 = -3.3\)

\(-0,9 \cdot 2,7 = -2.43\)

Part (a)

Answer: 42

-------------

Work Shown:

The angle ABC is 90 degrees since AB and BC are perpendicular. The two segments form a right angle. Therefore, the three pieces of the angle must add to 90

24+x+24 = 90

x+48 = 90

x+48-48 = 90-48 ... subtracting 48 from both sides

x = 42

=======================================

Part (b), subpart (i)

Angle q is congruent to the 135 degree angle because they are vertical angles.

Vertical angles are opposite angles formed by the X shape when two lines cross, and vertical angles are always the same measure.

=======================================

Part (b), subpart (ii)

Answer: 225

-------------

Reasoning:

The four angles p,q,r and the 135 all add to 360, so,

p+q+r+135 = 360

subtract 135 from both sides so we isolate the "p+q+r" and that leads to

p+q+r+135 = 360

p+q+r+135-135 = 360-135

p+q+r = 225

Answer:

A.

Step-by-step explanation:

Hi there!

By factoring the trinomial, we end with (x-9)(x-4)

However, we aren’t done yet. To find the zeros, set each expression equal to zero, so it looks something like this.

0 = x - 9

0 = x - 4

Using orders of operations, x = 9 and x = 4

Therefore,  A is your answer.

I hope this helps!

Answer:

C. 252 miles.

Step-by-step explanation:

Since we already know how many miles is driven for 10 gallons of gas, we only need to find 2.

Since 105 miles runs on 5 gallons, divide 105 by 5 to find out how many miles runs on 1 gallon.

105/5=21

Then, multiply that by 2 to find out how many miles run on 2 gallons of gas.

21x2=42.

Finally, add 42 to 210 to get the amount of miles that runs on 12 gallons of gas.

210+42=252

Answer:

Step-by-step explanation:

to get the slope, we use the fotmula y2-y1/x2-x1

so that would be

7-3 over -4-(-2)

7-3=4 and -4-(2)=-2

so the slope is -4/2x, or simply -2x

Answer:b 6

Step-by-step explanation:

it just is

∠CFA ≅ ∠EDA (By Transitive Property of Congruence).

Given:

Three lines AD, CF, and BE are intersecting each other at the midpoint O.

To prove:

∠CFA ≅ ∠EDA

Proof:

Given that AD, CF, and BE intersect at the midpoint O.

By definition of a midpoint, OA ≅ OD, OB ≅ OE.

OA = OD and OB = OE.

Triangle OAD ≅ Triangle OBE (By Side-Side-Side congruence).

∠OAD ≅ ∠OBE (By Corresponding Parts of Congruent Triangles are Congruent).

∠CFA and ∠EDA are vertical angles.

∠OAD ≅ ∠CFA and ∠OBE ≅ ∠EDA (By Vertical Angles are Congruent).

Therefore, ∠CFA ≅ ∠EDA (By Transitive Property of Congruence).

Hence, it is proven that ∠CFA ≅ ∠EDA.

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Scientists believe that it is helpful for the periodical cicadas to emerge every 13 to 17 years because this allows them to synchronize their population cycles with those of their predators.

The GCF of the years is 1

The intervals are given as: 13 years and 17 years

Factor both intervals (i.e. 13 and 17)

13 = 1 * 13

17 = 1 * 17

The common factor between both products is 1

So, we have:

GCF = 1

Hence, the GCF of the years is 1

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9514 1404 393

Answer:

  see attached

Step-by-step explanation:

In general, the only way to divide a square array of dots into two triangular arrays of dots is the way it was done in the example shown in the problem statement. The dividing line is drawn next to the longest diagonal.

So, for 25 dots, you make a 5×5 array and draw the line next to the corner-to-corner diagonal. Same for a 6×6 array of 36 dots.

Answer:

y = 5x - 23

Step-by-step explanation:

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

First, subtract 10x from both sides:

10x (-10x) - 2y = 46 (-10x)

-2y = -10x + 46

Next, divide -2 from all terms in the equation:

(-2y)/-2 = (-10x + 46)/-2

y = (-10x)/-2 + (46)/-2

y = 5x - 23

y = 5x - 23 is your answer.

~

Answer:

y= 5x-23

Step-by-step explanation:

10x-2y =46

10x-10x-2y =46-10x

-2y= 46-10x

-2y/-2= 46-10x/-2

y= 5x-23

Probability that the arrow will stop on the same letter twice = 1/3 (c).

What is probability?

The area of arithmetic called likelihood deals with numerical representations of the chance that a happening can occur or that an announcement is true.

Main body:

Given : Maria will spin the arrow on the spinner 2 times.

To find : What is the probability that the arrow will stop on the same letter twice.

Solution : We have given a spinner that spin twice and stop on the same letter.

Formula for probability = no. of favourable outcome/ total outcomes

Here, total part of spinner = 3 and it spin two times

So, total possible outcome = 6.  Arrow stay on same letter twice( favorable outcome) =2.

Plugging the values in formula :

Probability =  2/6

Probability =  1/3

Therefore,  probability that the arrow will stop on the same letter twice =  (c).

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Step-by-step explanation:

-√81=-√(9)²=-9

A number inside a Square root cannot ne negative. So, the second one is not a real no.

Answer:

\( - \sqrt{81} = - 9 \\ \sqrt{ - 25 = - 5} \)

Step-by-step explanation:

-81/9 9+9+9+9+9+9+9+9+9(81)

-9

-25/5 (5+5+5+5+5(25)

-5

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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The work done in propelling the lunar module from the surface of the moon to a height of 40 miles is 3,571,607,996 Joules.

This can be calculated as follows:

Weight of the lunar module on the surface of the Earth = 12 tons
converting weight to mass = weight/acceleration due to gravity
mass = 12 x 1000 / 9.81
mass = 1,224.6 kg

The force required to lift the module off the surface of the moon is equal to its weight, which is given by the formula:
force = mass x acceleration due to gravity
force = 1,224.6 x 1.62
force = 1,982.8 N

Calculating the total distance traveled:
distance = 1,737.1 + 64.37
distance = 1,801.47 km

Calculating the work done:
work = force x distance
work = 1,982.8 x 1,801,470
work = 3,571,607,996 J

Therefore, the work done in propelling the lunar module from the surface of the moon to a height of 40 miles is 3,571,607,996 Joules.

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Answer:

x = 7

Step-by-step explanation:

These are alternate interior angles. The rule for this type of angles is that they are equal to each other. Hence, you would do the following:

2x+5 = 3x-2 (Add 2 to each side)

2x+7 = 3x (Subtract 2x from each side)

7 = x ; x = 7

I hope this helps :D

To calculate the product of a vector and a scalar, we multiply each component of the vector by the scalar. We can also add multiple vectors, where we simply add the components of all the vectors along each direction. By using these methods, we can solve the given problem.

\(a) a⃗ +b⃗ = (2 + 3, -1 + 0, 1 + 5) = (5, -1, 6)\\b) a⃗ -c⃗ = (2 - 1, -1 - 4, 1 - (-2)) = (1, -5, 3)\\c) b⃗ -c⃗ = (3 - 1, 0 - 4, 5 - (-2)) = (2, 4, 7)\\d) 2a⃗ +3c⃗ = (2*2 + 3*1, -1*2 + 3*4, 1*2 + 3*(-2)) = (6, 6, -3)\)

In 3-dimensional vector calculations, it is important to consider the components of the vectors along i^, j^, and k^. To calculate the sum of two vectors\(a⃗ , b⃗\), we simply add the components of the vectors along all directions. Similarly, we can subtract two vectors by subtracting the components of the vectors along all directions. To calculate the product of a vector and a scalar, we multiply each component of the vector by the scalar. We can also add multiple vectors, where we simply add the components of all the vectors along each direction. By using these methods, we can solve the given problem.

The complete question is :

Given the three 3-dimensional vector \(a⃗ =(2,−1,1), b⃗ =(3,0,5), and c⃗ =(1,4,−2)\), where (x,y,z) are the components of the vectors along \(i^, j^, k^\)respectively, calculate the following:

\(a) a⃗ +b⃗\\b) a⃗ -c⃗\\c) b⃗ -c⃗\\d) 2a⃗ +3c⃗\)

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Answer:

First we add everything together. 100% is ALL of her plate. So we have to cut everything in half. So she ate 20% and 30%. So adding it together, she ate 50% of her plate altogether!

Have a good day, hope this helps you out!

The appropriate simulation applet to calculate an approximate p-value is 0.0077.

The strong evidence that a short delay hinders the memorization process is strong data suggests that a brief delay impairs memorization.

Delay or no delay, answer: the number of words remembered

The mean distance between words remembered with and without delay over time is null, or zero.

Alt: The mean distance in words remembered over the long term (with no delay minus with delay) is higher than 0.

Yes, the majority of the lines do skew to the right. The mean for no delay is 10.55 whereas that for with delay is 8.7.

The mean distance in words remembered is 1.85.

1)0.0077 as the p-value

2)Strong data suggests that a brief delay impairs memorization.

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Answer:

The answer are

A)

\(4 \times 4 - 3b = 22 \\ - 3b = 6 \\ b = - 2\)

B)

\(4a = 22 + 3 \times 6 \\ a = 10\)

C)

\(4 \times 0 - 3b = 22 \\ b = \frac{ - 22}{3} \)

D)

\(4a - 3 \times 0 = 22 \\ a = \frac{22}{4} \)

E)

\(a = 22\)

She need to buy 10 oranges of $6.40.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit.

We are given that grocery store sells a bag of 7 oranges for $4.48. If Khloe spent $6.40 on oranges, then

We have to do as $4.48 divide by 7

4.48 / 7 =  $0.46

Therefore, Each orange costs $0.64

For 10 oranges;

$0.46 x 10 = $6.40

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