A company wanted to test if employees spend more than 6 hours a day on their feet. They collect a sample of 500 employees and monitor how many hours they are on their feet. What kind of t-test should the company use? One-sample t-test ANOVA Two-sample t-test (independent samples) Paired samples t-test (dependent samples)

The large gear needs to make 3 full turns, and the small gear needs to make 4 full turns for the arrows to line up again.

To find the number of times the gears need to turn, we need to determine the least common multiple (LCM) of the number of teeth on each gear. The LCM of 12 and 8 is 24. This means that it takes 24 teeth engagements for the gears to align again.

For the large gear with 12 teeth, it will complete one full turn when 12 teeth have engaged. Since the LCM is 24, the large gear needs to make 2 full turns to reach 24 teeth engagements. Therefore, it needs to make a total of 2 turns for the arrows to line up again.

Similarly, for the small gear with 8 teeth, it will complete one full turn when 8 teeth have engaged. Since the LCM is 24, the small gear needs to make 3 full turns to reach 24 teeth engagements. Therefore, it needs to make a total of 3 turns for the arrows to line up again.

The large gear needs to make 2 full turns, and the small gear needs to make 3 full turns for the arrows to line up again. When the arrows align, 24 teeth will have touched each other.

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There are 10 centromeres if there are 20 chromatids in a cell in G1 phase.

A chromosome is a short DNA molecule that includes the entirety or a portion of an organism's genetic code. Packaging proteins can be found on the majority of eukaryotic organisms.

It is given that:

Number of chromatids = 20

There are 20 chromatids, replication has taken place, thus they should be in identical pairs of two (sister chromatids). Ten centromeres would therefore exist.

Thus, there are 10 centromeres if there are 20 chromatids in a cell in G1 phase.

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Answer:

4.91666666667

Step-by-step explanation:

1 1/3 + 1 5/6 + 1 3/4 = 4.91666666667

Answer:

hi sorry but i dont know what is the answer

Step-by-step explanation:

im very very sorry

Step-by-step explanation:

if he works for 3 hours , he can make :

(3×60)/15 x 4

= 12×4 = 48 ornaments

the amount earned = 48× $1.15

=$ 55.2

Answer:

The slope of f(x) will be positive

Step-by-step explanation:

the slope of f(x) will be positive sign the coefficient in front of the x, 2, is positive.

The total surface area of all three spheres is 3 x 22.78 = 68.34 in².

Given:
A cylindrical container with three spheres so that the spheres are stacked vertically on top of one another, a rectangle that is 2.7 in x 8.1 in, a rectangle that is 5.4 in x 8.1 in, a circle with a diameter of 2.7 in, and a circle with a diameter of 5.4 in.
We have to find the volume of the cylindrical container and the total surface area of all three spheres.

To find the volume of the cylindrical container, we need to know its height and radius.

Since the spheres are stacked vertically on top of one another, their diameters are equal to the radius of the cylindrical container.

Therefore, the diameter of each sphere is 2.7 in.

We know that the formula for the volume of a cylinder is given as;V = πr²h, where r is the radius and h is the height of the cylinder. As we have already found the radius of the cylinder, we need to find its height.

From the given information, we know that the three spheres are stacked vertically, so they occupy a height of 2.7 x 3 = 8.1 in. Therefore, the height of the cylindrical container is also 8.1 in.

Now, we can use the formula for the volume of the cylindrical container; V = πr²hV = π x (2.7/2)² x 8.1V = 49.01 in³

Therefore, the volume of the cylindrical container is 49.01 in³.To find the total surface area of all three spheres, we can use the formula for the surface area of a sphere; A = 4πr², where r is the radius of the sphere.

We know that the diameter of each sphere is 2.7 in, so its radius is 1.35 in. Therefore, the surface area of each sphere is; A = 4πr²A = 4π x 1.35²A = 22.78 in²

Therefore, the total surface area of all three spheres is 3 x 22.78 = 68.34 in².

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Answer:

B, A, C, and D

Step-by-step explanation:

Did the assignment

Answer:

First, write the  

✔ formula: V = lwh

.

Next, use parentheses when you substitute  

✔ 50, 25, and 3

for l,w, and h.

Now, simplify by  

✔ multiplying

50, 25, and 3.

The volume of the pool is  

✔ 3,750

m3.

9514 1404 393

Answer:

  101

Step-by-step explanation:

  1² + 10² = 1 + 100 = 101 . . . sum of 1st and 10th square numbers

Answer:101

Step-by-step explanation:yw

Answer:

1/3 of a chance or 0.3

Step-by-step explanation:

The true inferences from the double dot plot for this case from the available options is given by: Option D) The Interquartile range for Ander’s data is 0. 5 greater than the interquartile range for Marcus’s data

When we get data which can be compared relatively with each other, for finding quartiles, we arrange them in ascending or descending order.

Quartiles are then selected as 3 points such that they create four groups in the data, each groups approximately possessing 25% of the data.

Lower quartile, also called first quartile has approx 25% in its left partition, and on its right lies approx 75% of the data.

Similarly, second quartile (also called median) is approximately in mid of the data.

Third quartile (also called upper quartile)  has approx 75% in its left partition, and on its right lies approx 25% of the data.

Left to right is said in assumption that data was arranged increasingly from left to right

IQR(inter quartile range)  is the difference between third and first quartile.

Suppose we're measuring something whose values are numeric. For each value of that thing we observe, we plot a dot above that value in the number line. Thus, the total number of dots in the dot plot tells us the total number of observations of the values of that thing we did.

Thus, suppose if we observed the value 'x', then we will make a dot above 'x'. If there is already a dot over 'x', then we will make a new dot over that dot.

If instead of only observations, the table of unique observation and frequency is given, then we plot dots that many times as the count written in the frequency table. Thus, if its written that the value 2 has 3 has its frequency, then we plot 3 dots one over the other above the value 2 in the horizontal axis.

For this case, getting the quartiles of each dataset one by one.

The number of dots show frequencies, therefore, from the image attached below, the data we get for Anders is:

1,2,2,3,3,5,5,5,5,5,5,6,6,6,6,7,7,7,7,7

These are total 20 observations.

Mean is the ratio of sum of all observations to the number of observations.

Sum of these values is 100, and therefore, we get:

Mean = 100/20 = 5

50% of 20 is 10 (its half). And 25% is 5, and 75% is 15.

Now, any number between the 10th and 11th value will be median because before and after that will lie ten-ten observations.

We usually take mean of these two values in such case.

The 10th value is 5, and so as the 11th value.

Thus, median of this data set is 5

Similarly, the first quartile can be taken as the average of 5th and 6th value as in mid of both lie values before which lies 25% of the data and after which lies 75% of the data.

The 5th and 6th values are 3 and 5. Their average is (3+5)/2=4

Thus, the first quartile of this data set is 4

Similarly, third quartile can be taken as average of 15th and 16th value = (6+7)/2 = 6.5

Now, the interquartile range of this dataset = third - first quartile = 6.5 - 4 = 2.5

2,3,5,6,6,6,7,7,7,7,7,7,8,8,8,8,8,9,10,10

These are total 20 observations.

Mean is the ratio of sum of all observations to the number of observations.

Sum of these values is 139, and therefore, we get:

Mean = 139/20 = 6.95 (approx 7)

Also, we get:

Median can be average of 10th and 11th value = (7+7)/2 = 7

First quartile can be average of 5th and 6th value = (6+6)/2 = 6

Third quartile can be average of 15th and 16th value = (8+8)/2 = 8

Thus, IQR = third - first quartile = 8-6 = 2

So we see that option A and B are wrong as IQR and median both are different for both the datasets.

Option C is wrong since for Ander's data, we see that both mean and median (which are central measures) evaluates to 5, so Ander's data centers around 5 instead of 6.

Option D is correct as IQR for Ander's data = 2.5 is 0.5 greater than 2 which is IQR for Marcus' data.

Thus, the true inferences from the double dot plot for this case from the available options is given by: Option D) The Interquartile range for Ander’s data is 0. 5 greater than the interquartile range for Marcus’s data.

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Answer: 240 mins

Step-by-step explanation:

Answer:

The value of the derivative at x = 9 is -25

Step-by-step explanation:

Here in this question, we are told to find the derivative of the given equation at the point where x = 9

What we need to do here is simply, differentiate f(x), then substitute that value x = 9 into the differentiated equation

In notation form, what we are to find is f’(9)

So;

f(x) = -2x^2 + 11x

f’(x) = -4x + 11

So therefore;

f’(9) = -4(9) + 11

f’(9) = -36 + 11

f’(9) = 11-36

f’(9) = -25

Answer:

                11

3.456 × 10

Step-by-step explanation:

This is the expression for ∂z/∂u using the Chain Rule.

To find ∂z/∂u using the Chain Rule, we first need to find the partial derivative of z with respect to r and θ.
∂z/∂r = e^(r cos θ) cos θ
∂z/∂θ = -e^(r cos θ) r sin θ
Next, we can use the Chain Rule to find ∂z/∂u:
∂z/∂u = (∂z/∂r) * (∂r/∂u) + (∂z/∂θ) * (∂θ/∂u)
We know that r= 6 uv and θ = √(u^2+v^2 ), so we can substitute those values in:
∂z/∂u = (e^(r cos θ) cos θ) * (6v) + (-e^(r cos θ) r sin θ) * (u/√(u^2+v^2 ))
Simplifying this expression, we get:
∂z/∂u = 6ve^(6uv cos(√(u^2+v^2 )))cos(√(u^2+v^2 )) - (u/√(u^2+v^2 ))e^(6uv cos(√(u^2+v^2 )))r sin(√(u^2+v^2 ))
We have z = e^(r cos θ), r = 6uv, and θ = √(u^2 + v^2). We need to find ∂z/∂u.
Using the Chain Rule, we get:
∂z/∂u = (∂z/∂r)(∂r/∂u) + (∂z/∂θ)(∂θ/∂u)
First, let's find the partial derivatives of z:
∂z/∂r = e^(r cos θ) cos θ
∂z/∂θ = -e^(r cos θ) r sin θ
Now, find the partial derivatives of r and θ with respect to u:
∂r/∂u = 6v
∂θ/∂u = u / √(u^2 + v^2)
Now, substitute these partial derivatives back into the Chain Rule formula:
∂z/∂u = (e^(r cos θ) cos θ)(6v) + (-e^(r cos θ) r sin θ)(u / √(u^2 + v^2))
This is the expression for ∂z/∂u using the Chain Rule.

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-7/12 should be subtracted from the sum of ( 5/6 + -2/3 ) to get 3/4.

Linear equations in one variable

The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

For example, 2x+3=8 is a linear equation having a single variable in it.

Let x should be subtracted from the sum of ( 5/6 + -2/3 ) to get 3/4

Therefore

[ 5/6 + (-2/3 ] - x = 3/4

⇒ ( 5/6 - 2/3) - x = 3/4

⇒ ( 5/6 - 4/6) - x = 3/4

⇒ 1/6 - x = 3/4

⇒ x = 1/6 - 3/4

⇒ x = 4/24 - 18/24

⇒ x = -14/24

⇒ x = -7/12

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Answer:

104 degrees

Step-by-step explanation:

90 + 54 + 132 = 276

360 - 276 = 104

Answer:

actually, a and b are correct, as any line is also parallel to itself (a).

b is probably the truly wanted answer, as this line is on a chart visible as a second line and parallel to the first one.

Step-by-step explanation:

the factor of x is also the slope of the line.

for a line to be parallel to another, both need to have the same slope.

the constant number in the equation is the offset of the line from point (0,0) in y direction.

so, b is a parallel line 4 units above the first line.

Answer:

Let length of bc be x cm

Thus, ab=4x

ab+bc=ac

4x+x=75

5x=75

x=75/5

x=15

Therefore, ab=x=15cm

bc=4x=60cm

Step-by-step explanation:

The Quantricide used to make 1 qt of solution  is 1/2  oz

What is the unit rate?

A unit rate is a cost for only one of anything. This is expressed as a ratio with a denominator of 1. For instance, if you covered 70 yards in 10 seconds, you did so at an average speed of 7 yards per second. Although both of the ratios—70 yards in 10 seconds and 7 yards in one second—are rates, only the latter is a unit rate.

4 qt = 1 gallon

1 qt = 1/4 gallon

It is given that, Quantricide is made up at 2 oz per gallon of water.

Quantricide used to make 1 qt of solution = (1/4)*2 = 1/2

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Answer:

y=1/2x-7/2

Step-by-step explanation:

Since the line is parallel, we know that the slope is the same as the equation given: 1/2. So you just plug in the coordinates for x and y. So it would be -2=1/2(3)+b because we don't know what the intercept is for this line. If you simplify the equation you'll get -2=1.5+b. Then, you must isolate B, so you would get -3.5=b or -7/2.

Answer:

Let's call the point where the lines GU and NS intersect point X. Because GUNS is a parallelogram, we know that UX = SG and that NX = GS. We can use these relationships to set up a system of equations to solve for x and y.

UX = SG => 3y - 1 = 3x

NX = GS => 18 = 3x + 26

Solving for x first, we substitute 3y - 1 for 3x in the second equation:

18 = 3x + 26

3y - 1 = 18

3y = 19

y = 6.33

Next, we substitute y back into the first equation:

3y - 1 = 3x

19 - 1 = 3x

18 = 3x

x = 6

So x = 6 and y = 6.33.

Answer: y = 9⅓

Step-by-step explanation:

The equation given here is

88 = 10y + 30 - 4y

The first thing to do is to collect terms

88 - 30 = 10y - 4y.

58 = 6y

Divide both side by 6

6y = 58

6y/6 = 58/6

y = 9 ⅓

Therefore, the value of y is 9⅓.

The following combinations would result in multiple triangles:

B) 5°, 122° and 61°.

C). 2 cm, 8 cm, 10 cm.

The correct options are B and C.

A polygon which has three sides and three vertices is called as triangle.

The sum of all the angles of the triangle is 180°.

A) The sum of all the angle is 180°.

It can form the triangle.

B) The sum of all the angle is less than 180°.

From this property, we can not form a triangle.

C). The triangle inequality,

the sum of two sides is less than the side length of the large side.

This property can satisfy the multiple triangle property.

D). It can be the property of a triangle.

Therefore, the combinations are statement B and C.

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Answer:

x = 9.47 degrees  ( in first quadrant.

Step-by-step explanation:

sin2x + sinx cos x = 1/2

Now sinx cos x = 1/2sin2x so:

3/2sin2x = 1/2

sin2x = 1/2 / 3/2

sin2x = 1/2 * 2/3 = 1/3

2x = arcsin 1/3 = 19.47 degrees

x = 9.74 degrees to nearest hundredth.

Answer:

You will be able to cut at least 6 pieces

Step-by-step explanation:

Answer:

88cm

Step-by-step explanation:

Diameter of  a circle =28 cm

Thus, circumference =π×28 cm

                                   =\(\frac{22}{7}\) × 28cm

                                   =22×4 cm

                                  =88 cm

Answer:

88 centimetres

Step-by-step explanation:

circumference of a circle=

\(2\pi \: r\)

radius =

\( \frac{diameter}{2} \)

radius =

\( \frac{28}{2} \)

r = 14

c =

\(2 \times \frac{22}{7} \times 14\)

= 88 centimetres

Answer:

4

Step-by-step explanation:

to find the x intercept of a line in standard form we can simply set y as 0 and find x

4x - 7(0) = 16

4x = 16

x = 4

the answer is 4