The height of adult females are normally distributed with the mean of 156cm and a standard deviation of 4.5cm.

i. Find the probability that a randomly selected adult female has a Height less than
151cm.
ii. The height of 700 adult females are taken. How many adult females are
expected to have height greater than 152cm?

Answer:

It's already simplified to its lowest term so....

Answer: It can’t be simplified.

Step-by-step explanation:

You can simplify 4/5 since it already in its simplest form.

Answer:

123321?

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. & 2. & 3.  Direct Material Quantity Variance = (Planned Quantity - ActualQuantity) * Planned Price

Planned Quantity = 18,500 pounds

Actual Quantity = 18,800 pounds

Planned Price = $2.50

Direct Material Quantity Variance = (18,500-18,800)*$2.50

= - $750

Thus, the Direct Material Quantity Variance is $750 Unfavorable(As the actual quantity used is more than planned)

Answer:

Step-by-step explanation:

1. The material cost is the cost per pound multiplied by the number of pounds used.

  Planned material cost: (18,500 lb)($2.50 /lb) = $46,250

  Actual material cost: (18,800 lb)($2.54 /lb) = $47,752

  Material cost variance: $47,752 -46,250 = $1,502 . . . (unfavorable)

__

2. The material quantity is ...

  Planned: 18,500 lb

  Actual: 18,800 lb

  Material quantity variance: 18,800 -18,500 = 300 . . . pounds (unfavorable)

__

3. The direct labor rate is the labor cost divided by the labor hours.

  Planned labor rate: $16.50 per hour

  Actual labor rate: $360,000/(20,000 h) = $18.00 per hour

  Labor rate variance: $18.00 -16.50 = $1.50 . . . per hour (unfavorable)

The efficiency is assumed to be measured in units per hour of labor.

  Planned efficiency: (1 unit)/(0.5 h) = 2 units/h

  Actual efficiency: (45,000 units)/(20,000 h) = 2.25 units/h

  Efficiency variance: 2.25 -2.00 = 0.25 . . . units/h (favorable)

_____

Additional comment

Question 1 asks for the price variance, not the cost variance. The price is given in terms of dollars per pound. The variance in price per pound would be $2.54 -2.50 = $0.04 (unfavorable). We assumed the more interesting number is the cost variance, which takes into account the material quantity used.

Efficiency is usually measured in terms of useful output for a given input. For example, auto efficiency is measured in the US in terms of miles per gallon. Hence units per hour would be an appropriate efficiency measure. (Higher is better.)

In some instances, efficiency is measured in terms of the input required to obtain a given output. For example, auto efficiency is measured in metric countries in terms of liters per 100 kilometers. In that sense, the efficiency measure would be hours per unit. (Lower is better.)

Answer:

y=6x-4

Step-by-step explanation:

What we know

-9 is x and -58 is y so we have to find the y-intercept y=mx+b is also the formula for this

-58=6(-9)+b

-58=-54+b

-58=54+b        - we changed -54 to a positive 54

54-58=-4

y=6x-4

Answer:

Angle N, Angle R, Angle Q

Step-by-step explanation:

Answer:

Around $1.19

Step-by-step explanation:

$8.34/7= $1.191428571428

Answer:

21%

Step-by-step explanation:

To find the decrease subtract 68 from 86

86 - 68 = 18

Divide 18 by the original temperature -

18/86 = 0.209

Multiply 0.209 by 100 to find the percent -

20.9%

Round to the nearest percent -

21%

Answer:

Step-by-step explanation:

slope of f(x) is 1/3 as y increases one unit for every three units increase in x.

Perpendicular lines have negative reciprocal slopes, so g(x) has a slope of -3

-5 = -3(1) + b

b = -2

g(x) = -3x - 2

g(-2) = -3(-2) - 2 = 4

The 3 angles in a triangle sum up to 180° (Angle sum property of a triangle).

90° + 36° + (7x + 5)° = 180°

126 + 7x + 5 = 180

131 + 7x = 180

7x = 180 - 131

7x = 49

x = 49/7

x = 7

_____

RainbowSalt2222 ☔

Answer:

x=7

Step-by-step explanation:

The sum of the angles of a triangle are 180

90+36+ 7x+5 = 180

131+7x = 180

7x = 180-131

7x =49

Divide by 7

7x/7 = 49/7

x=7

Answer:

  13 inches

Step-by-step explanation:

The volume (V) of cube is related to the edge length (s) by ...

  V = s³

Then the edge length is ...

  s = ∛V

For a cube with a volume of 2300 cubic inches, the edge length is ...

  s = ∛(2300 in³) ≈ 13.2 in

To the nearest integer, the length of the side of the shipping box is 13 inches.

The value of x is 23.78 cm and this can be determined by the cosine function.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

Given that a right triangle. The hypotenuse is labeled as 25 centimeters. The base is x.

Using the trigonometric functions the value of x can be determined. The cosine function can be used to determine the value of 'x'.

The cosine function is the ratio of the base to the hypotenuse.

Cos 18 = base /hypotenuse

Now, put the values of the base, hypotenuse, and the angle in the equation.

Cos 18 = x / 25

x = 23.78 cm

Therefore, the correct option is c).

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ2

Answer:

$58.40

Step-by-step explanation:

Really simple stuff here once you know how percentages work.

10% of 73.00 is 7.30, which means that if we do:

7.30 * 2 that means we have 20%

So, 7.30 * 2 = 14.60

73.00 - 14.60 = $58.40

We can check this by doing

7.30 * 8 = $58.40

Answer:

4/21 or 4 over 21

Step-by-step explanation:

you would add all the numbers, 20+8+14. which equals 42 then it is looking for the ratio total games to tied games so the total is 42 games and tied games 8. so this would be 8 over 42. (8/42) This would be simplified into 4/21.

a=b, b=40

360-a-b=c*2

360-80=c*2

280=c*2

140=c

本题已由中国数学会官方解答（现有会员：3人）  

For all real numbers x, the equation sin(2x) = 2sin(x)cos(x)

The trigonometric function sin(2x) represents the sine of twice the angle x.

Using a trigonometric identity, we can express sin(2x) in terms of sine and cosine of x:

sin(2x) = 2sin(x)cos(x)

This identity states that the sine of twice an angle is equal to twice the product of the sine of the angle and the cosine of the angle.

So, for any real number x, sin(2x) can be calculated by evaluating 2sin(x)cos(x).

To know more about equation, refer here:

https://brainly.com/question/32556925

#SPJ2

Answer:

gọi x là số cần tìm, y là số sau khi chia. Ta có

y.8+6=x

y.7+5=x          

=>x= -2 , y= -1

Step-by-step explanation:

Answer: The answer to this problem is:

3x + 1 1/2 = 10

Step-by-step explanation:

Answer:

3x + 1 1/2 = 10

Step-by-step explanation:

Answer:

24 is your answer

Step-by-step explanation:

My teacher graded my assignment and told me i was correct! :)

Answer:

Because 6th grade math is the abosulute worst. other than every other math above 6th grade

Step-by-step explanation:

Correlation is the measure of the degree to which any two variables vary together.

If one variable tends to increase as the other variable decreases , the correlation is said to negative or inverse.

From the correlation we assess the strength of the relationship of two variables.

A  numerical measure of strength in the linear relationship between the two variables is called co efficient of simple correlation.

The  co efficient of simple correlation r is a pure number and assumes values from+1 to -1 .

r= -0.837295

The sign of r indicates the direction of the relationship or correlation.

It can be determined by finding the COV (X,Y)/ √Var (X) Var(Y)

In the given question it is calculated by using the excel sheet.

The correlation tab is found in the statistical column of the formula tab.

After entering the data in the excel the correlation tab is clicked and the rows cells are entered and the answer is obtained.

Another way is use the data analysis tab and click the correlation tab.

For both ways the following result is obtained .

r= -0.83729481

rounded to 6 places gives

r= -0.837295

https://brainly.com/question/18054482

https://brainly.com/question/24169114

Answer:

y = 9

Step-by-step explanation:

 from both sides of the equation

−2+6=−12

-2y+6=-12−2y+6=−12

−2+6−6=−12−6

-2y+6

−2y+6−6=−12−6

2

Simplify

Subtract the numbers

Subtract the numbers

−2=−18

-2y=-18−2y=−18

3

Divide both sides of the equation by the same term

−2=−18

-2y=-18−2y=−18

−2−2=−18−2

-2−2−2y=−2−18

4

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=9

Answer:2.11 aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

Answer:

1.5 feet long

Step-by-step explanation:

you have to do 12 ÷ 8 then...

12.0 ÷ 8 = 1.5

Answer:

B

Step-by-step explanation:

its logic is right

Answer:

Step-by-step explanation:

The order of solution given below

1. 2x + 5 and 3x - 33 are equal as vertical angle measures.

Solve for x:

2. 2x + 5 and 4y - 1 are supplementary angles as they form a linear pair.

Find the value of 2x + 5:

Next, 81 and 4y - 1 sum to 180:

The answer is:

Correct answer choice is D

9514 1404 393

Answer:

  32 2/5 miles per gallon

Step-by-step explanation:

To find miles per gallon, divide miles by gallons.

  (40.5 mi)/(1.25 gal) = 32.4 mi/gal

The unit rate is 32 2/5 miles per gallon.

_____

Additional comment

We assume you want the answer as a mixed number, since all of the problem numbers are given in that format.

Answer:

-3.4x+8.05

Step-by-step explanation:

Answer:

A phone can be 113g but not 113kg

Answer:

12cm

Step-by-step explanation:

They are congruent meaning the same

Answer:

24

Step-by-step explanation: