Dawson Toys, Limited, produces a toy called the Maze. The company has recently created a standard cost system to help control costs and has established the following standards for the Maze toy:

Direct materials: 7 microns per toy at $0.33 per micron
Direct labor: 1.2 hours per toy at $7.10 per hour

During July, the company produced 4,700 Maze toys. The toy's production data for the month are as follows:

Direct materials: 77,000 microns were purchased at a cost of $0.30 per micron. 35,875 of these microns were still in inventory at the end of the month.
Direct labor: 6,040 direct labor-hours were worked at a cost of $45,904.

Required:
1. Compute the following variances for July: (Indicate the effect of each variance by selecting "F" for favorable, "U" for unfavorable, and "None" for no effect (i.e., zero variance). Input all amounts as positive values. Do not round intermediate calculations. Round final answer to the nearest whole dollar amount.)
a. The materials price and quantity variances.
b. The labor rate and efficiency variances.

The amount that Marketing Manager earn more than a Financial Analyst over 10 years is $388,000. The Option H.

To get how much more a Marketing Manager will earn than a Financial Analyst, we have to calculate the difference in their median annual salaries and multiply by 10.

The difference in median annual salaries is:

= $115,750 - $76,950

= $38,800

The amount earned more by a Marketing Manager over 10 years is:

= $38,800 x 10

= $388,000.

Read more about Median Salaries

brainly.com/question/30685440

#SPJ1

The correct answer is A) partial.

Randomization is the process of randomly assigning the study participants or experimental units to the different treatment groups.

This helps to ensure that any differences observed between the groups are due to the treatment and not some other extraneous factor. Partial randomization refers to the random assignment of a subset of units to the treatment groups, while other units may be assigned in a non-randomized manner, such as based on convenience or some other criteria. Experimental, whole, and population randomization are not commonly used terms in research methodology.

Learn more about randomization here:

https://brainly.com/question/30841295

#SPJ1

The amount of walking space between two tables at the point where they are the closest is 0.9 m.

We are given that;

The space allowed per chair = 45 cm.

Number of tables=30

Now,

we find the length of a side of a square that contains a table by adding twice the radius of a table to twice the space allowed per chair. The formula is: side length=2×radius+2×space per chair

Plug in the given values and simplify. The calculation is: side length=2×0.9+2×0.45=2.7

Now subtract the diameter of a table from the side length to get the walking space between two tables. The formula is: walking space=side length−diameter

Plug in the given values and simplify. The calculation is: walking space=2.7−1.8=0.9

To express our answer in meters. walking space=0.9 m

Therefore, by the algebra the answer will be 0.9 m.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

Answer: 21

Given:

  |7 + (-12)| + |-16|

Absolute value of -16:

  |7 + (-12)| + 16

Addition times subtraction is subtraction:

  |7 - 12| + 16

Subtract:

  |-5| + 16

Absolute value of -5:

  5 + 16

Add:

  21

The Mean = 9.778

The Median = 9

The Mode = 5 and 10

The Standard deviation = 6.21

The Range = 22

Mean:

To get, we will sum up all the values and divide by the total number of values.

Mean - Ef/n

Mean = (4 + 5 + 5 + 8 + 9 + 10 + 10 + 11 + 26) / 9

Mean = 88 / 9

Mean = 9.778

Median:

This means middle value of a dataset when arranged in ascending order. If there are two middle values, median is average of the two.

Arranging dataset in ascending order: 4, 5, 5, 8, 9, 10, 10, 11, 26. The Median is 9.

Mode:

The mode is the value that occur(s) most frequently in the dataset. In this dataset, the mode is 5 and 10 as both occur twice.

Standard Deviation:

Variance = [[tex](4 - 9.778)^2 + (5 - 9.778)^2 + (5 - 9.778)^2 + (8 - 9.778)^2 + (9 - 9.778)^2 + (10 - 9.778)^2 + (10 - 9.778)^2 + (11 - 9.778)^2 + (26 - 9.778)^2] / 9[/tex]

Variance = 38.617284

Variance = 38.62

Standard Deviation = √Variance

Standard Deviation = √38.62

Standard Deviation = 6.21449917532

Standard Deviation = 6.21

Range:

The range is difference between maximum and minimum values

Range = 26 - 4

Range = 22

b. The outline for the data set is as follows:

Read more about centre of measures

brainly.com/question/15214370

#SPJ1

The length of the arc defined by the central angle of 312 degrees is 26π cm.

The formula for the arc length of a circle is given by:

L = (θ/360) × 2πr

where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.

Substituting the given values, we get:

L = (312/360) × 2π(30)

L = (26/30) × π × 30

L = 26π cm

Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ1

Answer:

-1.2 is greater than -19/2.

Answer: 11

Step-by-step explanation:

this is a sequence of odd numbers.

it goes;

1,3,5,7,9,11,13,15,17,19,21,23....

10.8

.......................................

Answer:

  c.  3 ft by 4 ft by 5 ft

Step-by-step explanation:

You want to know which sets of measurements can form a triangle.

The triangle inequality requires ...

  a + b > c

for any assignment of a, b, c to side lengths. If 'a' and 'b' are the two shortest sides, satisfying this inequality will also satisfy any other arrangement.

Only the side lengths 3 ft, 4 ft, 5 ft will form a triangle.

__

Additional comment

As we said the other arrangements of the triangle inequality are also satisfied for these numbers:

  4 + 5 > 3

  3 + 5 > 4

The garden with side lengths 3, 4, 5 will have the shape of a right triangle.

[tex]\large \maltese \:{ \underline { \underline{ \pmb{ \sf{SolutioN }}}}} : -[/tex]

we have given ,

★ According to Angle sum property of triangle, the sum of interior angles of a triangle is 180°.

➝ ∠ A + ∠ B + ∠ C = 180°

➝ 60° + 60° + ∠ C = 180°

➝ 120° + ∠ C = 180°

➝ ∠ C = 180° - 120°

➝ ∠ C = 60°

Now,

★ Calculating for x :-

↝ ∠ C + x = 180°

↝ 60° + x = 180°

↝ x = 180° - 60°

↝ x = 120°

Hence, The value of x will be 120°.

Answer:

The major of the exterior angle is 120°

Step-by-step explanation:

In given triangle we have to find the value of exterior angle and in interior of the triangle there are two angles 60 degree and second one is also 60 degree and we have to find value of exterior angle which is x.

So, here we apply exterior angle property which is exterior angle is equal to the sum of the two interior opposite angles. Here, there are two opposite interior angles so we have to add these two and we get the value of exterior angle.

Exterior angle property :-

[tex] \implies \sf \angle60 \degree + \angle60 \degree[/tex]

[tex] \implies\angle120 \degree[/tex]

Some important properties :-

Exterior angle property :- An exterior angle of a triangle is equal to the sum of its interior opposite angles.

Angle sum property :- The total measure of the three angles of a triangle is 180°

The odds against stopping on a number less than 12 is 5 ; 11

From the question, we have the following parameters that can be used in our computation:

Sections in the spinner = 16

This means that the probability of getting a number less than 12 is

P(Number less than 12) = Sections less than 12/Sections in the spinner

There are 11 sections less than 12

So, we have

P(Number less than 12) = 11/16

When represented as odds, we have

P(Number less than 12) = 16 - 11 : 11

Evaluate the difference

P(Number less than 12) = 5 : 11

Hence, the odds against stopping on a number less than 12 is 5 ; 11

Read more about odds at

https://brainly.com/question/16363997

#SPJ1

Answer: {m∠HLI = m∠ILM}

Examining the figure the option that must be true is

D. m< HLI = m< ILM

The knowledge of angle on a straight line which is 180 degrees is used here,

Using the given angles and the concept of adjacent angles we have that

angle GLH = 150 - 60 = 60

Using angles on a straight line being 180 degrees we have that

angle ILJ = 180 - 60 - 60 - 30 - 15 = 15 degrees

Using adjacent angles

angle ILM = 15 + 15 = 30 degrees

hence we can say that m< HLI = m< ILM

Learn more about adjacent angles  at

https://brainly.com/question/28394984

#SPJ1

a. The values of k for which points A, B, and C are collinear are k = 3 and k = -2.

b. The value of k for which AB is parallel to CD is k = 13.

a. slope AB = (k+4-9)/(k+1-0) = (k-5)/(k+1)

The slope of AC is:

slope AC = (k+3-9)/(2k-0) = (k-6)/(2k)

Since A, B, and C are collinear, slope AB = slope AC. Therefore, we have:

(k-5)/(k+1) = (k-6)/(2k)

2k(k-5) = (k+1)(k-6)

2k^2 - 10k = k² - 5k - 6

k = 3 or k = -2

(b)  The slope of AB is:

= (k+4-9)/(k+1-0) = (k-5)/(k+1)

The slope of CD is:

= (k+6-k-3)/(2k+2-2k) = 3/2

Since AB is parallel to CD, slope AB = slope CD. Therefore, we have:

(k-5)/(k+1) = 3/2

2(k-5) = 3(k+1)

k = 13

Learn more about collinear on

https://brainly.com/question/1649376

#SPJ1

The amount that Za Kingdom charges for each pizza is $8.

To determine the amount charged by Za Kingdom, we first note that the cost of each pizza plus the delivery fee is $21.

Assuming the basic price to be $8 and the delivery fee of $13, we have the sum of $21. So, for 3 pizzas, we will have 8 times 3 = 24 + 13 = 37

Also, the amount for 10 pizzas will be 8 times 10 = 80 + 13 = 93. So, the price of each pizza is $8.

Learn more about prices here:

https://brainly.com/question/1153322

#SPJ1

Answer:

5 (19 + 12)

Step-by-step explanation:

You add up the red and black pens and multiply by 5, which indicates the 5 bags

Answer:

Step-by-step explanation:

so how to help you but you do a good job

The probability of picking an odd number and then picking an odd number when two cards are drawn without replacement from a set of four cards labeled 3, 4, 5 and 6 is 1/6 or approximately  1667/10000 .

The probability of picking an odd number and then picking an odd number when two cards are drawn without replacement from a set of four cards labeled 3, 4, 5 and 6 can be found by using conditional probability.

The probability of the first card being odd is 2/4 (since there are two odd numbers out of four cards). If the first card was odd and not replaced, the number of cards remaining is three, with only one odd card. Therefore, the probability of picking an odd number again is 1/3.

So, the probability of picking an odd number and then picking an odd number is the product of the probabilities of picking an odd number in the first draw and picking an odd number in the second draw, given that the first draw resulted in an odd number.

P(Odd, Odd) = P(Odd on the first draw) * P(Odd on the second draw given that the first draw was odd)

P(Odd, Odd) = (2/4) * (1/3)

P(Odd, Odd) = 2/12

P(Odd, Odd) = 1/6 or approximately 0.1667

For such more questions on odd

https://brainly.com/question/2263958

#SPJ8

The number of questions asked in a day is A = 110

Given data ,

To determine the number of questions being asked in a day, we need to divide the total number of questions by the number of days.

Now ,  12 people are collectively asking 775 questions in a 7-day period.

So , the number of questions being asked in a day, we divide 775 by 7

A = 775 / 7

On simplifying the equation , we get

A ≈ 110.71

Hence , 110.71 questions are being asked in a day

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ1

The difference between the interquartile range of Matt's remaining vacation days an Linda's remaining vacation days is given as follows:

-3.5.

The interquartile range of a data-set is given by the difference of the third quartile by the first quartile of the data-set.

Matt's ordered data-set is given as follows:

5, 9, 11, 12.

Hence the quartiles are:

Hence the IQR is of:

IQR = 11.5 - 7 = 4.5.

Linda's ordered data-set is given as follows:

0, 6, 9, 13.

The quartiles aret

The IQR is of:

IQR = 11 - 3 = 8.

Hence the difference is of:

4.5 - 8 = -3.5.

More can be learned about the interquartile range at brainly.com/question/12323764

#SPJ1

53 = 43 + v, so substitute each number for V and see if it equals 53.

v = 8 >>> NO

53 = 43 + 8 >>> Nope. This is 51

v = 10 >>> YES

53 = 43 + 10 = 53 >>> Yup! This works.

v = 96 >>> NO

53 = 43 + 96 >>>> Nope, this doesn't add up.

V = 6 >>> NO

53 = 43 + 6 = 49 >>> Nope this doesn't add up.

The coordinates of the point in the graph is (3, 2)

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we have the following

Represent the point with x

So, we have

X = (3, 2)

Hence, the coordinates of the point in the graph is (3, 2)

Read more about coordinates at

https://brainly.com/question/32144496

#SPJ9

The 95% confidence interval of the mean is approximately (26.4121, 39.3879) lbs.

since df = n - 1 = 20 - 1 = 19). You can find this value using a t-distribution table or an online calculator.

For a 95% confidence level and 19 degrees of freedom, the t-score is approximately 2.093.

Now, let's calculate the margin of error (E):

E = 2.093 * (14.8 / √20)

E ≈ 6.4879

Finally, we'll find the confidence interval:

Lower Bound = x - E = 32.9 - 6.4879 ≈ 26.4121 lbs

Upper Bound = x + E = 32.9 + 6.4879 ≈ 39.3879 lbs

The 95% confidence interval of the mean is approximately (26.4121, 39.3879) lbs.

Read more on confidence interval here:https://brainly.com/question/15712887

#SPJ1

The combination is evaluated to give 20

From the information given, we have the expression as;

⁵C₁

The formula for calculating combination is expressed as;

ⁿCᵣ = n! / (r!(n-r)!)

Such that the parameters of the formula are expressed as;

Now, substitute the values into the formula, we have;

⁵C₁ = 5! / (1!(5-1)!)

= 5! / (1! × 4!)

Find the permutation, we have;

= (5 × 4 × 3 ×2 × 1) / (1 × (4 × 3 × 2 × 1))

Divide the values, we get;

= 20 / 1

Find the value

= 20

Learn more about combination at: https://brainly.com/question/4658834

#SPJ1

RQT = 159

RQS = 69

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

Explanation:

Draw a segment connecting R and S.

Triangle SRQ is a right triangle due to Thale's Theorem. That theorem is a special case of the inscribed angle theorem. The 90 degree angle R is opposite the diameter SQ.

Minor arc QR = 42 degrees. Half of this is 42/2 = 21, which is the measure of inscribed angle RSQ. This inscribed angle subtends minor arc QR.

Focus on triangle SRQ. We have two known angles (R = 90 and S = 21). Let's use them to find the missing angle.

The inside angles of any triangle always add to 180 degrees.

S+R+Q = 180

21+90+Q = 180

111+Q = 180

Q = 180-111

Q = 69

Angle RQS is 69 degrees.

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

We'll add angle SQT onto the previous result to get angle RQT.

angle RQT = (angle RQS) + (angle RQT)

angle RQT = (69) + (90)

angle RQT = 159 degrees

Answer:

He owns about 4.17% or 4% so the others own about 95.83% or 96% but sense it rounds to the nearest tenth your answer would be 95.8%

Step-by-step explanation:

You can figure this out by doing 11,919 divided by 285,763 in order to figure out the percentage of the company he owns and then just do 100 - your answer.

Step-by-step explanation:

First, we need to find out how much money the three other individuals invested in the company. To do that, we'll subtract Fred's investment from the total investment:

Total investment = 285,763

Fred's investment = 11,919

Investment from the three other individuals = Total investment – Fred's investment

Investment from the three other individuals = 285,763 – 11,919

Investment from the three other individuals = 273,844

Now, to calculate the percentage of ownership for the three individuals, we'll divide their combined investment by the total investment and multiply by 100:

Percentage of ownership = (Investment from the three other individuals / Total investment) * 100

Percentage of ownership = (273,844 / 285,763) * 100

Percentage of ownership ≈ 95.8%

So, the three other individuals own approximately 95.8% of the company. Since the question asks to round to the nearest tenth, the answer is 95.8%.