Each person in a group of students was identified by year and asked when he or she preferred taking classes: in the morning, afternoon, or evening. The results are shown in the table. Find the probability that the student preferred morning classes given he or she is a freshman. Round your answer to the nearest thousandth.

Freshman Sophomore Junior Senior
Morning: 19 2 6 16
Afternoon: 17 3 13 15
Evening: 8 14 9 7
A. 0.105
B. 0.182
C. 0.386
D. 0.432

Answer:

The measures of the two angles are 12° and 78°

Step-by-step explanation:

Let us explain what is the complementary angles

Two angles are complementary if the sum of their measures is 90°

Example:

If m∠x + m∠y = 90°, then

∠x and ∠y are complementary angles

Let us solve the question

Assume that the measure of one of the complementary angle is x°

∵ The measure of its complementary is 66° more than it

∴ The measure of its complementary = x + 66

∵ The sum of the measures of the complementary angles is 90°

∴ x + 66 + x = 90

→ Add the like terms in the left side

∴ 2x + 66 = 90

→ Subtract 66 from both sides

∴ 2x + 66 - 66 = 90 - 66

∴ 2x = 24

→ Divide both sides by 2

∴ [tex]\frac{2x}{2}=\frac{24}{2}[/tex]

∴ x = 12°

→ Substitute the value of x in the second angle to find x

∵ The measure of the other angle = 12 + 66

∴ The measure of the other angle = 78°

∴ The measures of the two angles are 12° and 78°

Answer:

12 and 78

Step-by-step explanation:

Let us explain what is the complementary angles

Two angles are complementary if the sum of their measures is 90°

Example:

If m∠x + m∠y = 90°, then

∠x and ∠y are complementary angles

Let us solve the question

Assume that the measure of one of the complementary angle is x°

∵ The measure of its complementary is 66° more than it

∴ The measure of its complementary = x + 66

∵ The sum of the measures of the complementary angles is 90°

∴ x + 66 + x = 90

→ Add the like terms in the left side

∴ 2x + 66 = 90

→ Subtract 66 from both sides

∴ 2x + 66 - 66 = 90 - 66

∴ 2x = 24

→ Divide both sides by 2

∴

∴ x = 12°

→ Substitute the value of x in the second angle to find x

∵ The measure of the other angle = 12 + 66

∴ The measure of the other angle = 78°

∴ The measures of the two angles are 12° and 78°

Answer:

See below.

Step-by-step explanation:

20. YES

21. NO

22. NO

23. NO

Using the slope concept, it is found that the skydiver has at a height of 1257 ft when he jumped.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

Hence:

[tex]\tan{50^\circ} = \frac{x - 5.5}{1050}[/tex]

[tex]x - 5.5 = 1.19175359259 \times 1050[/tex]

[tex]x = 1257[/tex]

The skydiver has at a height of 1257 ft when he jumped.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer:

What is a appropriately

What is a Procedure

What is a Enthusiasm

What is a Conflict

What is a Technique

What is a Obtain

What is a conflict management

.... itz wrong

Answer:

it is 26 smaller or 64 bigger

Step-by-step explanation:

Answer:

need more information to solve..

Answer:The first is a function but the second isn’t.

Step-by-step explanation: The numbers in the first circle (domain) should only point to one number in the second circle (range). Meaning the domain should only have one arrow for it to be a function. Therefore the first problem is a function, but the second problem is not. For

example, in the first problem, the 0 is only pointing to one number, the 2. However, in the second problem the 6 is pointing to two different numbers, the 3 and the 5. -Let me know if this helps you or if you want me to explain it more. Hope this helps! :)

Answer:

1. Mean:

6

2. Median:

7

3. mode:

8

range:

6

Explanation:

Mean:

To find the mean you must add all the digits and divide them by the number of numbers there.for eg: 1,4,6,5,4

The number of numbers there is 5 so I added these numbers and divide them by 5.

Median:

To find the median you must arrange all the numbers in order and find the middle number eg: 1,2,3,4,5

The middle number is 3 as u can see there

Mode:

In the mode, you find the number that appears the most.

for eg: 1,3,3,4,5

The number appearing here the most is the 3

Range:

you minus the highest number from the lowest number

eg: 1,2,3,4,5

5-1 is 4 so the answer for the range is 4

Replace n and m with their given values and solve:

4 + 6(7) = 4 + 42 = 46

Answer: 46

Answer:

46

Step-by-step explanation:

Evaluate the expression [tex]n+6m[/tex] if  [tex]m=7[/tex] and [tex]n=4[/tex].

First, replace the variables with their corresponding values.

[tex]n+6m[/tex]

↓

[tex]4+6(7)[/tex]

Now, solve.

According to PEMDAS, we have to do the paratheses and multiplication first.

[tex]6(7)=6*7\\6*7=42[/tex]

Now add 4 and 42.

[tex]4+42=46[/tex]

The solution to the equation is [tex]46[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!

Stay Brainy!

−Kallmekrish

Answer:

600cm³

Step-by-step explanation:

30/25=1.2

1.2×500=600

Answer:

420

Step-by-step explanation:

Let x = number of $40 tickets.

Let y = number of $60 tickets.

x + y = 700

40x + 60y = 33600

-40x - 40y = -28000

20y = 5600

y = 280

x + y = 700

x + 280 = 700

x = 420

Answer: 420 $40 tickets were sold

Answer:

I think you have to draw a circle then draw a line that goes parralel to one tiny part of the circle. this ensures it only touches the circle at one place. make sure the line is straight too!

Answer: she is wrong

Answer: her friend was wrong

Step-by-step explanation:

Jane’s friend found that 20% of 40 is 8. Then she added $8 to the sale price: 40 + 8 = 48. Then she determined that the original amount was $48.

b. Is her friend correct? Why or why not?

Jane’s friend was incorrect. Because Jane saved 20%, she paid 80% of the original amount, so that means that 40 is 80% of the original amount.

0 20% 40% 60% 80% 100%

0 10 20 30 40 50

Answer:

speed of James is: 3.75 miles/hour.

Step-by-step explanation:

We need to find the speed of James in miles per hour(mi/hr)

we know that 1 mile=5280 feet

James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.

i.e. he takes 7200 steps in 1 hour.

also each step of James=2.75 feet

total distance covered by James in 1 hour=2.75×7200 feet=19800 feet

[tex]19800feet=\frac{19800}{5280} miles=3.65miles[/tex]

hence speed of James= (distance covered by james in 1 hour)/1 hour

speed of James=3.75 miles/hour.

Thanks!!

Mark me brainliest!

~[tex]FieryAnswererGT[/tex]~

Answer:

We need to find the speed of James in miles per hour(mi/hr)

we know that 1 mile=5280 feet

James takes 120 steps in 1 minute so he will cover 120×60 steps in 1 hour.

i.e. he takes 7200 steps in 1 hour.

also each step of James=2.75 feet

total distance covered by James in 1 hour=2.75×7200 feet=19800 feet

19800feet=\frac{19800}{5280} miles=3.65miles19800feet=

5280

19800

miles=3.65miles

hence speed of James= (distance covered by james in 1 hour)/1 hour

Answer:

0

Step-by-step explanation:

Answer:

Both tables are correct.

Step-by-step explanation:

The equation given is y = [tex]\frac{1}{2}[/tex] x - 2.  When you replace x with each value given from Dave's table, the y values will be those given.

-4 =  [tex]\frac{1}{2}[/tex] (-4) - 2

-3 =  [tex]\frac{1}{2}[/tex] (-2) - 2

-2 =  [tex]\frac{1}{2}[/tex] (0) - 2

-1 =  [tex]\frac{1}{2}[/tex] (2) - 2

When you use the values given in Bonnie's table, the equations are also all true.

0 =  [tex]\frac{1}{2}[/tex] (4) - 2

2 =  [tex]\frac{1}{2}[/tex] (8) - 2

4 =  [tex]\frac{1}{2}[/tex] (12) - 2

6 =  [tex]\frac{1}{2}[/tex] (16) - 2

well, we know is a quadratic, namely of degree 2, so it has two solutions and namely two factors, and whose only zero is 7, well, we can do that by giving that only zero a multiplicity of 2, so we get two of the same zero.

[tex]\begin{cases} x=7\implies &x-7=0\\ x=7\implies &x-7=0 \end{cases}\qquad \implies \qquad \begin{array}{llll} \stackrel{\textit{multiplicity of 2}}{(x-7)(x-7)}=\stackrel{0}{y} \\\\\\ x^2-14x+49=y \end{array}[/tex]

The quadratic function would be x² + 14x + 49 f whose only zero is 7.

The quadratic equation is defined as a function containing the highest power of a variable is two.

The standard quadratic function is given by ax² + b x + c = 0.

We know that is a quadratic of degree 2, so it has two solutions and two components, and its only zero is 7,

⇒ x = 7 and  x = 7

⇒ x - 7 and  x - 7

Thus, we can accomplish that by multiplying that singular zero by two, so we obtain two of the same zero.

⇒ (x - 7)(x - 7)

⇒ (x - 7)²

⇒ x² + 7²+ 2 × 7 × x

⇒ x² + 49 + 14x

⇒ x² + 14x + 49

Therefore, the quadratic function would be x² + 14x + 49.

Learn more about the quadratic function here:

brainly.com/question/14083225

#SPJ2

Answer:

Vertex is (-1/4, -81/8)

Step-by-step explanation:

Does that help any?

Answer:

-4/12

Step-by-step explanation:

This is true because what you do is y2-y1 over x2-x1 and you get uyour answer easily

Answer:

2     0     -2      -4

Step-by-step explanation:

pls give brainliest

Answer:

2,0,-2,-4

Step-by-step explanation:

For example

-2 x -3 = 6

6 - 4 = 2

-2 x -3 - 4 = 2

-2x - 4

Answer:

y = 3x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 3x = 4 ( add 3x to both sides )

y = 3x + 4 ← in slope- intercept form

with slope m = 3

Parallel lines have equal slopes, thus

y = 3x + c

The line crosses the y- axis at (0, - 3 ) ⇒ c = - 3

y = 3x - 3 ← equation in slope- intercept form

Answer:

x= -2

Step-by-step explanation:

First, write your equation with 8.5 substituted for y: 8.5= -3x +2.5

Next, subtract 2.5 from both sides to simplify the equation: 6= -3x

After that, divide both sides by -3 to get x by itself: -2 = x

So, when y=8.5, x=-2.

Answer:

The number of heating degree days is 17 (option c).

Step-by-step explanation:

You know that the formula H = 65 - T, where 65 is degrees Fahrenheit, and T is the average of the high and low temperatures for the day.

You know that the high temperature for a day was 51°F and the low temperature for the same day was 45°F.

The mean, also called the average or arithmetic mean, is a measure of central position. In general, the average is calculated by adding all the figures or values ​​presented and dividing them by the total number of values. So, in this case, the average of the high and low temperatures for the day is:

[tex]\frac{51 F + 45 F}{2}= 48 F[/tex]

The number of heating degree days can be calculated by:

H= 65°F - 48°F

H= 17 °F

The number of heating degree days is 17 (option c).

Answer:

A, A and A

Step-by-step explanation:

Given

y = ax² + bx + c ( a ≠ 0 )

• If a > 0 then vertex is minimum

• If a < 0 then vertex is maximum

The graph here is a maximum, thus a < 0 → A

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

The value of c is the y- intercept of the graph ( when x = 0 )

Since the y- intercept is below the x- axis then c < 0 → A

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

The solutions to the equation are where the graph crosses the x- axis ( y = 0 )

Since the graph crosses the x- axis to the left of the y- axis, then

both solutions are negative → A

Lauren's net pay after deductions will be equal to $623.52

The net pay of the Lauren will be calculated as

The gross pay is = $ 765

The Federal tax = $68

Social security tax on gross pay 6.2%=   [tex]SST=765\times 0.062=47.43[/tex]

Medicare tax on gross pay 1.45%= [tex]765\times 0.0145=11.09[/tex]

State tax on federal tax holdings 22% =[tex]68\times 0.22=14.96[/tex]

Now the net pay will be

[tex]=765-68-47.43-11.09-14.96=623.52[/tex]

Thus Lauren's net pay after deductions will be equal to $623.52

To know more about saving and investment follow

https://brainly.com/question/11750315

Answer: 3

Step-by-step explanation:

Answer:

0.5, 80%

Step-by-step explanation:

Answer:

0.5, 80%

Step-by-step explanation:

Answer:

answer is 248/21

Step-by-step explanation:

u should multiply the mixed numbers together.

ur welcome:)