At a large university, the probability that a student takes calculus and statistics in the same semester is 0.02. The probability that a student takes statistics is 0.18, while the probability of taking calculus is 0.10. Find the probability that a student is taking calculus given that he or she is taking statistics.

Answer:

4

Step-by-step explanation:

Let the required number be x.

Since, Five times the sum of a number and 3 is 35.

[tex]5(x + 3) = 35 \\ \\ x + 3 = \frac{35}{5} \\ \\ x + 3 = 7 \\ \\ x = 7 - 3 \\ \\ x = 4[/tex]

Answer:a

Step-by-step explanation:

The answer to the equation is  [tex]x=\frac{2}{7}[/tex]

First, you must add 12 on each side

[tex]14x=16-42x[/tex]

Then, you add 42x on each side

[tex]56x=16[/tex]

Finally, divide each side by 56

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

The value of x = 2/7 which makes the equation 14x - 12 = 4 - 42x true.

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

14x - 12 = 4 - 42x

14x + 42x = 4 + 12

56x = 16

x = 2 / 7

Therefore, The value of x = 2/7 which makes the equation 14x - 12 = 4 - 42x true.

Learn about linear equations here:

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Answer:

Blue, the first one.

36x + 145 = 433.

Answer:

its blue

Step-by-step explanation:

Answer:

Jeff will have 48 rabbits by May

Answer:

[tex]\boxed {x = 0}[/tex]

Step-by-step explanation:

Solve for the value of [tex]x[/tex]:

[tex]x - 10 = 5x - 10[/tex]

-Take [tex]5x[/tex] and subtract it from [tex]x[/tex]:

[tex]x - 10 - 5x = 5x - 5x - 10[/tex]

[tex]-4x - 10 = -10[/tex]

-Add [tex]10[/tex] to both sides:

[tex]-4x - 10 + 10 = -10 + 10[/tex]

[tex]4x = 0[/tex]

-Since [tex]4x[/tex] does not equal to [tex]0[/tex], then [tex]x[/tex] must equal to [tex]0[/tex]:

[tex]\boxed {x = 0}[/tex]

Answer:

a is parallel to d

a and d are parallel, and are perpendicular to c and d (those are parallel to each other)

RESULT

They are parallel

Step-by-step explanation:

The distinct lines in the exercise are either parallel or perpendicular.

In geometry, || means parallel lines, while [tex]\mathbf{\perp }[/tex] means perpendicular lines

From the complete question (see attachment), we have the following highlights

Question 19.

Lines (a) to (d) are parallel.

So, lines (a) and (d) are parallel lines

Question 20.

Lines (a) to (c) are parallel.

But line (c) is perpendicular to line (d)

So, lines (a) and (d) are perpendicular lines

Question 21.

Lines (a) and (b) are parallel.

Lines (b) and (c) are perpendicular; so, lines (a) and (c) are perpendicular lines

Lines (c) and (d) are perpendicular; so, lines (a) and (d) are parallel lines

Question 22.

Lines (a) and (b) are perpendicular.

Lines (b) to (d) are parallel; so, lines (a) and (d) are perpendicular lines

Question 23.

Lines (a) and (b) are parallel.

Lines (b) to (d) are perpendicular; so, lines (a) and (d) are parallel lines

Question 24.

Lines (a) and (b) are perpendicular.

Lines (b) and (c) are parallel; so, lines (a) and (c) are perpendicular lines

Lines (c) and (d) are perpendicular; so, lines (a) and (d) are parallel lines

Read more about parallel and perpendicular lines at:

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Answer:

The constant of proportionality is basically just the slope, so the answer is 1/6.

Step-by-step explanation:

Count how many Y units it goes up to get the the black point  from (0,0) (the origin). You go up 1 unit to go 6 units to the right meaning the slope is 1/6.

That is the rise over run technique and there are many others, such as point slope form, and y2-y1 over x2-x1.

Hope this helps!

Answer:

Step-by-step explanation:

4. angle  3= 117, angle 4 and angle 2=63

5. angle 4= 59, angle 1 and 3= 121

6. angle 2= 88, angle 1 and angle 3= 92

Answer:

yor final answer is going to be 59

Step-by-step explanation:

59

Answer:

13

Step-by-step explanation:

Answer:

164.5

Step-by-step explanation: just sat it was mental math

Answer:

3,231 feet

Step-by-step explanation:

Find the difference between the two heights by subtracting them:

2933 - (-298)

2933 + 298

= 3231

So, the difference in altitude is 3,231 feet

Answer:

3,231

Step-by-step explanation:

To get the answer, you should:

2,933 + 298 = 3,231

Answer:

6/15=y

Step-by-step explanation:

cuz

Answer:

Step-by-step explanation:

If Laura wants to know how much Meyers she jogged in all, then she will need to find the perimeter of the entire soccer field.

Perimeter is a distance along the edges of a geometric shape.

Since the soccer field is rectangular in nature, the perimeter is calculated as;

P = 2(L+W)

L is the length

W is the width

Given

Length = 80meters

Width = 120metres

P = 2(80+120)

P = 2(200)

P = 400m

The total distance she covered is 400m

Hence the measurement she should find is Perimeter.

Answer:

e/c=m

Step-by-step explanation:

To solve for "m" you need to isolate the variable. Since m is being multiplied by c you need to do the opposite operation, division. The Division Property of Equality tells us that we are allowed to divide the equation by any number as long as we divide it by both sides. So e/c=mc/c, then the c's cancel out, and your final answer is e/c=m.

Work Shown:

2(3c+3) < 6c+9

6c+6 < 6c+9 .... distribute

6c+6-6c <6c+9-6c .... subtract 6c from both sides

6 < 9 ... note the c terms go away entirely

We're left with a statement that is always true since 6 is always less than 9 regardless of what value of c we pick. So there are infinitely many solutions. Any real number can replace c to get a true statement.

Answer:

B. All Real Numbers

Step-by-step explanation:

Answer:

C) Studying the effects of both therapy and no therapy on students

Step-by-step explanation:

Answer:

it’s d just did the quiz the above is no smart

Step-by-step explanation:

Answer:

y = 7/2x - 20

Step-by-step explanation:

The slope of a perpendicular line is the opposite reciprocal of the original slope.

-2/7 -> 7/2

Find the new y-intercept.

y = 7/2x + b

-6 = 7/2(4) + b

-6 = 14 + b

-20 = b

y = 7/2x - 20

Best of Luck!

Answer:

more than half the students earned higher than 80% on the test

Step-by-step explanation

Answer:

Max's team 5.75

Williams team 5.6

Max's team had better run rate

Answer:

slope is 4

y-intercept is 1

Answer:

6m+2p

Step-by-step explanation:

Simplify the expression

Percent Decimal Fraction

1%          0.01 1/100

Hope this helps

Wait a minute - sorry I misunderstood the question lol

The equation of the parabola is y = -1/9(x- 1)^2 - 6.

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form.

It is given that the equation passes through (4 -7) and has vertex (1 -6) in vertex form will be;

y=a(x-h)^2 + k

Since the vertex is at (1, -6), we can write the equation as

y = a(x- 1)^2 - 6

Also, since the parabola passes through (4, -7), we can find the value for a,

-7 =  a(4 - 1)^2 - 6

-7 = 9a - 6

a = -1/9

Hence, the equation of the parabola is

y = -1/9(x- 1)^2 - 6

Learn more about vertex form of a quadratic equation here:

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#SPJ2

Answer:

Correct options are:

a) ( 0 , 445 )

d) ( 118 , 209 )

e) ( 172 , 101 )

Step-by-step explanation:

A nickel is worth 5 cents $0.05

A dime is worth 10 cents = $0.10

The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation.

a) ( 0 , 445 )

b) ( 0.50 , 435 )

c) ( 233 , 21 )

d)( 118 , 209 )

e)( 172 , 101 )

Verifying the options

a) ( 0 , 445 )

0.10d+0.05n=22.25.

= 0.10(0) + 0.05(445) = 22.25

= 22.25 = 22.25

Options a) is correct

b) ( 0.50 , 435 )

0.10d+0.05n=22.25.

= 0.10(0.50) + 0.05(435) = 22.25

= 21.8 ≠ 22.25

Option b is incorrect

c) ( 233 , 21 )

0.10d+0.05n=22.25.

= 0.10(233) + 0.05(21) = 22.25

= 24.35 ≠22.25

Option c is incorrect

d) ( 118 , 209 )

0.10d+0.05n=22.25.

= 0.10(118) + 0.05(209) = 22.25

= 22.25 = 22.25

Option d) is correct

e) ( 172 , 101 )

0.10d+0.05n=22.25.

= 0.10(172) + 0.05(101) = 22.25

= 22.25 = 22.25

Option e) is correct

Answer:

3/7 is your answer

Step-by-step explanation:

all I do is add all the numbers and take aggregate over the total

Answer:

[tex]d = \sqrt{13}[/tex]

Step-by-step explanation:

Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Simply plug in the 2 coordinates into the distance formula to find distance d:

[tex]d = \sqrt{(7-4)^2+(-3-(-1))^2}[/tex]

[tex]d = \sqrt{(3)^2+(-3+1)^2}[/tex]

[tex]d = \sqrt{9+(-2)^2}[/tex]

[tex]d = \sqrt{9+4}[/tex]

[tex]d = \sqrt{13}[/tex]

2Answer:

r22

Step-by-step explanation: