A sample of 150 CBC students was taken, and each student filled out a
survey. The survey asked students about different aspects of their college
and personal lives. The experimenter taking the survey defined the
following events:
A=The student has children
B = The student is enrolled in at least 12 credits
C = The student works at least 10 hours per week
The student found that 44 students in the sample had children, 73 were
enrolled in at least 12 credits, and 105 were working at least 10 hours per
week. The student also noted that 35 students had children and were
working at least 10 hours per week.
Calculate the probability of the event BC for students in this sample. Round
your answer to four decimal places as necessary.

Answer:

The variables that can be used in the analysis are:

Dependent variable: person's height (Height)

Independent variable: person's dad's height (DadsHt)

Step-by-step explanation:

A linear regression model is used to predict the value of the dependent variable based upon the value of the independent variable.

The general form of a linear regression model is:

[tex]y=a+bx[/tex]

Here,

y = dependent variable

x = independent variable

a = intercept

b = slope

Dependent variables are those variables that are under study, i.e. they are being observed for any changes when the other variables in the model are changed.

The dependent variables are also known as response variables.

Independent variables are the variables that are being altered to see a proportionate change in the dependent variable. In a regression model there can be one or more than one independent variables.

The independent variables are also known as the predictor variables.

In this vase we need to form a regression model such that, a person's dad's height can be used to predict how short or tall the person will be.

That is, the dependent variable is the person's height and the independent variable is the person's dad's height.

The variables that can be used in the analysis are:

Dependent variable: person's height (Height)

Independent variable: person's dad's height (DadsHt)

Answer:

a=6, b=5.5

Step-by-step explanation:

By looking at the sides of the triangles it can easily be seen that some of the sides match up. Side b is similar to the side of 11 and same with side a and the side of 3. Since one side is 16 and the other side on the smaller triangle is 8, the bigger triangle is twice as large than the smaller one. So 3 x 2 = 6 and 11 / 2 = 5.5

Answer:

  Over 2 oz. Class A-II felony

Step-by-step explanation:

One would need to carefully weigh the material.*

  0.06 kg ≈ 2.12 oz

Note that .06 kg is 1 significant figure, so this rounds to 2 oz (1 significant figure). Given the precision of the reported weight, there is insufficient precision to say the amount is actually over 2 oz.

__

If you take the numbers at face value, the suspect is in possession of over 2 oz, so will be charged with a Class A-II felony.

_____

* 2.00 ounces translates to about 0.0567 kg, which rounds to 0.06 kg.

Answer:

1 3/8

Step-by-step explanation:

Well to find the average or the mean we need to add all the numbers,

3/8 + 2/4 + 5/8 + 7/8 + 1 1/8 + 1 5/8 + 1 7/8 + 4

= 11

Then we divide t by the number of numbers in the set.

11 ÷ 8 = 1 3/8

Thus,

the average in the set is 1 3/8.

Hope this helps :)

Answer:

The answer is

Step-by-step explanation:

From the above question the prism in the picture is a cube since all it's sides are equal

So the formula for finding the volume of a cube is

V = l³

where l is the length of one side

From the question l = 12″

Volume of the prism = 12³

= 1728″

Hope this helps you

Stokes' theorem equates the surface integral of the curl of F to the line integral of F along the boundary of the hemisphere. The boundary itself is a circle C (the intersection of the hemisphere with the plane y = 0) with equation

[tex]x^2+z^2=16[/tex]

Parameterize this circle by

[tex]\mathbf r(t)=4\cos t\,\mathbf i+4\sin t\,\mathbf k[/tex]

with [tex]0\le t\le2\pi[/tex].

The surface is oriented such that its normal vector points in the positive y direction, which corresponds to the curve having counterclockwise orientation. The parameterization we're using here already takes this into account.

Now compute the line integral of F along C :

[tex]\displaystyle\iint_S\mathrm{curl}\mathbf F(x,y,z)\cdot\mathrm d\mathbf S=\int_C\mathbf F(x,y,z)\cdot\mathrm d\mathbf r[/tex]

[tex]=\displaystyle\int_0^{2\pi}\mathbf F(4\cos t,0,4\sin t)\cdot\frac{\mathrm d\mathbf r}{\mathrm dt}\,\mathrm dt[/tex]

[tex]=\displaystyle\int_0^{2\pi}(4\sin t\,\mathbf i+4\cos t\,\mathbf j)\cdot(-4\sin t\,\mathbf i+4\cos t\,\mathbf k)\,\mathrm dt[/tex]

[tex]=\displaystyle\int_0^{2\pi}-16\sin^2t\,\mathrm dt[/tex]

[tex]=-8\displaystyle\int_0^{2\pi}(1-\cos(2t))\,\mathrm dt=\boxed{-16\pi}[/tex]

Line integral of F along C is,

[tex]\rm \int \int_S curl F(x,y,z) dS = -16\pi[/tex]

Step-by-step explanation:

Given :

Hemisphere -   [tex]x^2 +y^2+z^2=16[/tex]

Calculation :

Accordind to Stoke's theorem the surface integral of the curl of F to the line integral of F along the boundary of the hemisphere. The boundary itself is a circle C (the intersection of the hemisphere with the plane y = 0) with equation

[tex]x^2+z^2=16[/tex]

then parameterize the circle,

[tex]\rm r(t) = 4 cos(t) \;\hat{i} + 4 sin(t)\;(\hat{k})[/tex]

with , [tex]0\leq t\leq 2\pi[/tex]

Line integral of F along C is,

[tex]\rm \int \int_S curl F(x,y,z) dS = \int_{C}^{} F(x,y,z) \;dr[/tex]

[tex]= \int_{0}^{2\pi} F(4cos(t),0,4sin(t)) \;\dfrac{dr}{dt}.dt[/tex]

[tex]= \int_{0}^{2\pi}(4sin(t)i+4cos(t) j).(-4sin(t)i+4cos(t)k) \;dt[/tex]

[tex]= \int_{0}^{2\pi} -16sin^2tdt[/tex]

[tex]=-8 \int_{0}^{2\pi} (1-cos(2t))dt[/tex]

[tex]= -16\pi[/tex]

For more information, refer the link given below

https://brainly.com/question/8130922?referrer=searchResults

Answer:

Infinite Solution!

Step-by-step explanation:

First, We simplify the right side.

Distribute -4, -4x-20=-4x-20

Now we add +4x to both sides, now the equation stands as -20=-20

We know when the solution is same #= same #. We have infinite solution!

Answer:

c ≤ -9

Step-by-step explanation:

c / -3 ≥ 3

c ≤ -9

Remember, we flip the sign of the inequality by multiplying / dividing by a negative number.

Answer:

c ≤ -9

Step-by-step explanation:

c / -3 ≥ 3

c ≤ -9

Answer:

  $0.50

Step-by-step explanation:

Let's remove common factors from the equations.

Subtracting the first equation from the second, we find the cost of an apple:

  (2x +y) -(x +y) = 1.75 -1.25

  x = 0.50

The cost of one apple is $0.50.

Answer:

Option One:

type : linear growth

a : 120

b : 130

Option 2:

type: linear growth

d : 121

e : 133

Step-by-step explanation:

its right on EDG 2020

Option One:

type: linear growth

a: 120

b: 130

Option 2:

type: linear growth

d: 121

e: 133

Linear growth occurs with the aid of including an equal amount in each unit of time. An exponential increase happens while a preliminary population will increase by the same percent or issue over the same time increments or generations.

Linear and exponential relationships vary within the way the y-values change whilst the x-values increase with the aid of a steady quantity: In linear dating, the y-values have identical variations. In an exponential relationship, the y-values have identical ratios.

Learn more about Linear growth here: brainly.com/question/4025726

#SPJ2

Answer:

486 feet

Step-by-step explanation:

h = -16t² + 550

h = -16(2)² + 550

h = 486

Answer:

-5+5i

Step-by-step explanation:

(2-i)(-3+i)=-6+3i+2i-i²   (i²=-1)

-6+3i+2i-(-1)

-6+3i+2i+1=-5+5i

-5+5i

Answer: x = 1

Step-by-step explanation:

x = 1 provides one solution for any linear equation, as it is a straight vertical line.

Hope it helps <3

Answer:

x=2

Step-by-step explanation:

Our equation is y=2x+4

the line goes through (2,0) and (0,4)

This equation has one solution for y=0

there are millions of similar equations that has one solution like:

x = 2

Answer:

43 mountain climbers have not climbed either mountain.

Step-by-step explanation:

Total number of mountain climbers, i.e. n(U) = 60

Number of mountain climbers who have climbed Mt. Everest, n(E) = 10

Number of mountain climbers who have climbed Mt. Rainier, n(R) = 15

Number of mountain climbers who have climbed both, n(E [tex]\cap[/tex] R) = 15

Using the formula to find number of climbers who have climbed either of the mountains:

[tex]n(A \cup B) = n(A)+n(B)-n(A\cup B )[/tex]

[tex]\therefore n(E \cup R) = n(E)+n(R)-n(E\cup R )\\\Rightarrow n(E \cup R) = 10+15-8 = 17[/tex]

To find, who have not climbed either mountain:

[tex]n(E\cup B)'=n(U) - n(E\cap B)\\\Rightarrow n(E\cup B)'=60 - 17 = \bold{43}[/tex]

So, the answer is:

43 mountain climbers have not climbed either mountain.

Answer:

z > -9

Step-by-step explanation:

Combine like factors.

18 - 5z + 6z > 3 + 6

18 - 5z + 6z > 9

18 + z > 9

Solve for z.

18 + z > 9

(18 + z) - 18 > 9 - 18

z > -9

Answer:

A. Eric rode 2 more miles per week than Kim rode

Step-by-step explanation:

Number of miles Kim rode bicycle in 9 weeks = 135 miles

Let x be the number of miles per week.

135miles => 9 weeks

x miles => 1 week

[tex] x = \frac{135}{9} [/tex]

[tex] x = 15 [/tex]

Kim rode the bicycle 15 miles per week

Number of miles Eric rode bicycle in 6 weeks = 102 miles

Let x be the number of miles per week Eric rides the bicycle.

102 miles => 6 weeks

x miles => 1 week

[tex] x = \frac{102}{6} [/tex]

[tex] x = 17 [/tex]

Kim rode the bicycle 17 miles per week

Comparing the number of miles per week they rode, we would conclude that: "Eric rode 2 more miles per week than Kim rode".

Answer:

8

Step-by-step explanation:

Answer:

$60,000

Step-by-step explanation:

$2500*6=15000

45000+15000=60000

Answer:

8 and 9

Step-by-step explanation:

If x is the smaller integer, and x + 1 is the larger integer, then:

(x + 1)² + 3x = 105

x² + 2x + 1 + 3x = 105

x² + 5x − 104 = 0

(x + 13) (x − 8) = 0

x = -13 or 8

Since x is positive, x = 8.  So the two integers are 8 and 9.

Answer:

5050

Step-by-step explanation:

Place value of a digit is the value of digit based on its position the given number.

to determine the place value of a digit

we multiply the digit by number of 10's which is equal to number of digits in its right.

example

for a number 1234687

the place value of 3 is

we take 3 and

multiply it by number of 10' in its right

number of 10's in the right is 4

thus place value of 3 = 3*10*10*10*10 = 30000

________________________________________________

15954

place value of 5 at thousandth position = 5*10*10*10 = 5000

place value of 5 at tens position = 5*10 = 50

Thus, sum of place value of 5 in 15954 = 5000+50 = 5050

Answer:

[tex]\large \boxed{\sf \ \ \ 49 \ \ \ }[/tex]

Step-by-step explanation:

Hello,

(fog)(1)=f(g(1))

and

g(1)=-3

so

(fog)(1)

= f(-3)

= 5 *9 - (-3) + 1

= 45 + 3 + 1

= 49

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

ΔV = 0.36π   in³

Step-by-step explanation:

Given that:

The radius of a sphere = 3.0

If the measurement is correct within 0.01 inches

i.e the change in the radius Δr = 0.01

The objective is to use differentials to estimate the error in the volume of sphere.

We all know that the volume of a sphere

[tex]V = \dfrac{4}{3} \pi r^3[/tex]

The differential of V with respect to r is:

[tex]\dfrac{dV}{dr }= 4 \pi r^2[/tex]

dV = 4 πr² dr

which can be re-written as:

ΔV = 4 πr² Δr

ΔV = 4 × π × (3)² × 0.01

ΔV = 0.36π   in³

Answer:

1,000 i believe its that

Step-by-step explanation:

Answer:

[tex]m<7[/tex]

Step-by-step explanation:

We can solve this inequality by isolating the variable [tex]m[/tex].

To do this, we subtract 8 from both sides of the equation.

[tex]15-8 > m+8-8[/tex]

[tex]7>m[/tex]

I always like formatting by inequalities with the variable on the left, so we just reverse the numbers and the sign.

[tex]m<7[/tex]

Hope this helped!

Answer:

Hey there!

15>m+8

15-8>m

7>m

m<7

Hope this helps :)

Answer:

The full production costs are:

ABC = $22,900,000

PQR = $1,700,000

Step-by-step explanation:

Traditional costing method is a costing method that allocates or applies overhead based on a particular metric determined by a company. It therefore add both direct cost of production and production overheads absorbed to obtain the full cost of production.

Since production overheads in this question is absorbed on demand sales basis, the full production costs for ABC and PQR can be computed as follows:

ANZ Corporation

Computation of Full Production Costs

Particulars                                      ABC                 PQR    

Sales demand                             30,000             15,000

Cost                                                   $                        $    

Direct cost:

Direct materials cost (w.1)        1,350,000           900,000

Direct labor cost (w.2)                900,000          600,000  

Total direct cost                     22,500,000        1,500,000

Indirect cost:

Production overhead (w.3)        400,000          200,000

Full production cost            22,900,000        1,700,000

Workings:

w.1: Computation of direct material cost

Direct material cost = Direct material cost per unit * Sales demand

Therefore;

ABC Direct material cost = $45 * 30,000 = $1,350,000

PQR Direct material cost = $60 * 15,000 = $900,000

w.2: Computation of direct labor cost

Direct labor cost = Direct labor cost per unit * Sales demand

Therefore;

ABC Direct material cost = $30 * 30,000 = $900,000

PQR Direct material cost = $40 * 15,000 = $600,000

w.3: Allocation of production overhead

Production overheads allocated to a model = Production overheads * (Model's Sales Demand / Total Sales demand)

Total Sales demand = 30,000 + 15,000 = 45,000

Therefore, we have:

Production overhead allocated to ABC = $600,000 * (30,000 / 45,000) = $400,000

Production overhead allocated to PQR = $600,000 * (15,000 / 45,000) = $200,000

Answer:$207.48

Step-by-step explanation:You need to find how much gallons he would need so you divide 2,093 by 23 and you get 91. After that you multiply it by $2.28, The price per gallon and you get 207.48.

Answer:

[tex]\boxed{\sf \ \ x = 9, \ y = -5, \ z = 5 \ \ }[/tex]

Step-by-step explanation:

Hello,

   (1) 2x + 4y + z = 3

   (2) x - 2y - 3z = 4

   (3) x + y - z = -1

From (3) we can write z = x + y + 1 and we replace in (1)

2x + 4y + x + y + 1 = 3 <=> 3x + 5y = 3-1 =2

   (1') 3x + 5y = 2

and we replace in (2)

x - 2y -3(x+y+1) = 4 <=> -2x -5y -3 = 4 <=> -2x -5y = 4 + 3 = 7

   (2') -2x - 5y = 7

(1') + (2') gives

3x - 2x + 5y - 5y = 2 + 7 = 9

x = 9

we replace in (1')

3*9 + 5y = 2 <=> 27 + 5y = 2 <=> 5y = 2-27 = -25 <=> y = -25/5 = -5

y = -5

and then in (3)

9 - 5 - z = -1 <=> 4 - z = -1 <=> z = 4 + 1 = 5

z = 5

hope this helps

Answer:

work is shown and pictured

Answer:

Step-by-step explanation:

Given a sample of seven admission test scores for a professional school listed 11.3, 10.6, 11.7, 9.7, 11.7, 9.5 and 11.7, the mean of the numbers is the sum total of the values divided by the total number of admission test score. The mean is as calculated below.

Mean = {11.3 + 10.6 + 11.7 + 9.7 + 11.7 + 9.5 + 11.7}/7

Mean = 76.2/7

Mean = 10.9

The mean score is 10.9 to 1 decimal place.

Note that the mean does not represent the centre of the data. It represents the average value of the datas. The mean does not represent the center because it is not a data value. The mean will give a value that is different from the values given in the data.

b) The median score is the score in the centre after re-arrangement. The arrangement can either be ascending or descending order. On re-arranging in ascending order;

9.5, 9.7, 10.6, (11.3), 11.7, 11.7, 11.7

After rearranging, it can be seen that the number at the centre of the data is 11.3, hence the median score is 11.3.

The median represents the center

c) The mode is the scores that occurs most. According to the data given, the score that occur most is 11.7. The score occurs the highest number of times (3 times) compare to other scores in the data. Hence, the modal score is 11.7.

The mode(s) does (do) not represent the center because it (one) is the largest data value.

Answer:

35.25

Step-by-step explanation:

Give the data set:

23 37 49 34 35 41 40 26 32 22 38 42

We are expected to calculate the midquartile of the given data set.

22 23 26 32 34 35 37 38 40 41 42 49

First step is to find the lower quartile which comprises of

22 23 26 32 34 35

Here the Q1 is (26+32)/2 = 58/2= 29

Second step to find the upper quartile which comprises of

37 38 40 41 42 49

Here the Q3 is (40+41) /2 = 81/2 = 41.5

Then to find the midquartile which is (Q1+Q3) /2 where Q1 is 29 and Q3 is 41.5

= (29+41.5)/2

= (70.5) /2 = 35.25

Answer:

Excluded value = -7

Solution = [tex] x = \frac{5}{9} [/tex]

Step-by-step Explanation:

The excluded value is the value that will make the denominator 0.

Thus,

[tex] x + 7 = 0 [/tex]

Subtract 7 from both sides

[tex] x + 7- 7 = 0 - 7 [/tex]

[tex] x = -7 [/tex]

The excluded value is -7

Solution=>

[tex] \frac{2x}{x + 7} + \frac{3x + 1}{x + 7} = \frac{1}{2} [/tex]

[tex] \frac{2x + (3x + 1)}{x + 7} = \frac{1}{2} [/tex]

[tex] \frac{5x + 1}{x + 7} = \frac{1}{2} [/tex]

Cross multiply

[tex] 2(5x + 1) = 1(x + 7) [/tex]

[tex] 10x + 2 = x + 7 [/tex]

[tex] 10x - x = -2 + 7 [/tex]

[tex] 9x = 5 [/tex]

[tex] x = \frac{5}{9} [/tex]