Students on a campus of a college in California were asked "What will most likely help you to succeed in
college?" The results of this survey are tabulated below.
Reason
have a good roommate
study hard
live on campus
supportive family
always go to class
have a goal in mind
other
(a) What is the relative frequency for the reason "study hard"? (Write your answer as a fraction.)
Answer:
Frequency
583
620
187
163
558
645
439
(b) What is the relative frequency for the reason "have a goal in mind"? (Write your answer as a fraction.)
Answer:

Answer:

Please see picture below.

Step-by-step explanation:

Answer: -21

Step-by-step explanation:

Answer: 291 with a remainder of 375

Step-by-step explanation: What you need to do first is multiply the senior tickets by 37 which is 370. Now subtract 4,740 by 370 which equals 4370. Then divide 4370 by 15. 4370 divided by 15 equals 291. Multiply 291 by 15 (just to find the remainder) which equals 4,365. 4,740 subtracted by 4,365 equals 375. So the answer is 375

The proportional relation that tells us how many hours she practices basketball in D days is:

H = 2*D

We know that Shermika practices basketball for two hours each day, then in one day she will practice 2 hours, in 2 days she will practice 4 hours, and so on.

We want to find an expression that relates the number of hours practiced, H, in D days.

If she practices 2 hours per day, then in D days she will practice a total of:

H = 2*D

This is just a proportional relation that tells us how many hours she practices basketball in D days.

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Answer:y=mx+b

Step-by-step explanation:

Answer:

Let x be the amount invested in funds that earned 8%.

Then the amount invested in stock that suffered 3% loss is 18,000 - x.

The profit from investment in funds is 8%x

The loss from investment in stock is 3%(18,000 - x).

The net profit is 8%x - 3%(18,000 - x).

As the net profit given in the problem is $780, we have:

8%x - 3%(18,000 - x) = 780

Step-by-step explanation:

Answer: y = 12x − 9

Step-by-step explanation:

Let's solve for y

-1/3y +4x = 3

Step 1: Add -4x to both sides.

4x + -1/3y + -4x = 3 + -4x
-1/3y = -4x+3

Step 2: Divide both sides by (-1)/3.

-1/3y / -1/3 = -4x+3 / -1/3
y = 12 - 9

Answer:

$2,400,000

Step-by-step explanation:

Just multiply them together

The transformation that carries the parallelogram below onto itself is a rotation by 180 degrees

The coordinates are given as:

M(-2,3),

H(-4,-3)

A(4,3)

T(2,-3)

The rule of rotation by 180 degrees is

(x, y) = (-x, -y)

When the above rule is applied, we have

M(-2,3), = T(2,-3)

H(-4,-3) = A(4,3)

A(4,3) = H(-4,-3)

T(2,-3) = M(-2,3)

Hence, the transformation that carries the parallelogram below onto itself is a rotation by 180 degrees

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Answer:

193 and 194

Step-by-step explanation:

Left page = X

Right page = X + 1

You know the total sum.

X + (X + 1) = 387

2X + 1 = 387

2X = 387 - 1

2X = 386

X = 193

When you plug X in you get the following;

Left page = 193

Right page = 193 + 1 = 194

Answer: x=28/3

Step-by-step explanation:

6/8=7/x

3/4=7/x

3x/4=7

3x=28

x=28/3

Answer: the answer is 9 or 9.333333

Answer:

9/8 mile or 1 and 1/8 mile

Step-by-step explanation:

Add 3/8 + 3/4

LCD is 8 so it would be 3/8 + 6/8 which is 9/8 (which can be converted to the mixed number 1 and 1/8)

When the surface area is 275 square inches, the radius is approximately 6.17 inches.

The entire area that is occupied by the flat surfaces of the cylinder's bases and its curving surface is known as the surface area of a cylinder. A curved surface area and two flat surface areas make up the cylinder's total surface area.

Let's find out more about what a cylinder's surface area is and how to determine a cylinder's total surface area and lateral surface area.

Total surface area of cylinder=[tex]2\pi r^2 + 2\pi rh[/tex]

Let the total surface area of the given cylinder be written as A(x).

[tex]A(x)=2\pi r^2+2\pi rh\\[/tex]

Now given A(x)=275 and h=8 inches.

[tex]A(x)=2\pi r^2+2\pi rh\\or,275=2\pi(r^2+r8)\\or,r^2+r8=275\div 2\pi\\or,r^2+8r+16=87.535+16\\or,(r+4)^2=\sqrt{103.535}\\or,r+4=10.1752\\or,r=6.1752\\or,r\approx6.17[/tex]

The radius is 6.17 inches when the surface area is 275.

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The area of the farm in acres is 864 acres.

An acre is equal to​ 43,560 square​ feet, and there are 5280 feet in a mile.

Therefore,

1 mile = 5280 feet's

The farm has the shape of a rectangle measuring 0.9 miles by 1.5​ miles. Therefore, let's convert to feet's

1 mile = 5280 feet's

0.9 miles = ?

cross multiply

length = 0.9 × 5280 = 4752 feet

1 mile = 5280 feet's

1.5 miles = ?

width = 1.5 × 5280 = 7920 feet's

Hence,

area of the farm = 4752 × 7920

area of the farm = 37635840

Therefore, the area of the farm in acres can be calculated as follows:

43560 ft = 1 acre

37635840 ft = ?

cross multiply

area of farm = 37635840 / 43560

area of the farm = 864 acres.

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Answer:

f(X) = ( - X) ½

is the answer

pls brainliest

Answer:

y = - 2x + 2

Step-by-step explanation:

[tex]y-8=-2(x-(-3))\\y-8=-2(x+3)[/tex]

[tex]y-8=-2x-6[/tex]

[tex]y=-2x-6+8[/tex]

[tex]y=-2x+2[/tex]

Hope this helps

Answer: x=-1

Step-by-step explanation:

2x - 3 = -5

2x - 3 +3= -5+3

2x=-2

x=-1

Answer:

x = -1

Step-by-step explanation:

To find x, we have to get x by itself.

2x - 3 = -5

Add 3 to both sides

2x - 3 +3 = -5 +3

2x = -2

Divide by 2 to both sides

2x ÷2 = -2 ÷2

x = -1

Have a good rest of your day! :)

Answer: 4v

Step-by-step explanation:

If 4 tokens are needed for each video game, then you multiply 4 by the number of video games v.

For example, 3 video games, each requiring 4 tokens, would require a total of 12 tokens. This can be also defined as:

v = 3

4*(3) = 12

Answer:

u = -50

Step-by-step explanation:

First let's carry the -4 to the other side and get u/5 by itself

-14 = -4 + u/5

+4     +4

-10 = u/5

The next step is to try and get rid of the u, and in order to do that we have to multiply by 5 on both sides

-10 = u/5

*5       *5

-50 = u

So u should equal -50.

_____
You can also check this answer by plugging it back into the original problem

-14 = -4 -50/5

-14 = -4 -10

-14 = -14

The statement is true, so -50 is our answer for sure.

Hope this helps :)

Answer: 0.35

Step-by-step explanation:

7/20 = 0.35

0.35 x 20 = 7

Answer:

See the picture below.

Step-by-step explanation:

The slope of the straight line is -1/2 whereas the y-intercept is 3/8.

Recognize that the y-intercept is the point at which the graph intersects the y-axis; that's where we usually begin.

Because the two quantities in the equation are now the slope and the intercept, this equation is known as the slope-intercept form.

y = mx + b

Remember that the slope (m) is the number multiplied by x, while the intercept (b) is indeed the number added or subtracted.

The given equation is;

4x + 8y = 3

Re-arranging the equation;

8y = -4x + 3

Divide the whole equation by 8.

y = -4x/8 + 3/8

Further simplifying;

y = -x/2 + 3/8

Comparing the result with the general form of equation.

m = -1/2; which is the slope.

c = 3/8; which is the y-intercept.

Thus, the values for slope and y-intercept are estimated.

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The correct question is-

Find the -intercept and the slope of the line 4x + 8y=3. Write your answers in simplest form.

Answer:

0

3

3

7

2

3

3

-

0

2

3

-

2

1

2

3

-

2

1

2

Step-by-step explanation:

SOOOOOOOOOO THE ANSWER 33 with the reamder of 2

Answer: 420

Step-by-step explanation:

60 apples per day times 7 days in a week = 420

a) Dot product: recall that

i • i = j • j = k • k = 1

i • j = i • k = j • k = 0

Then

a • b = (i + 2j - 7k) • (5i - 2j + 4k)

a • b = 5 (i • i) - 4 (j • j) - 28 (k • k)

a • b = 5 - 4 - 28

a • b = -27

b) Cross product: recall that

i × i = j × j = k × k = 0

i × j = -(j × i) = k

j × k = -(k × j) = i

k × i = -(i × k) = j

Then

a × b = (i + 2j - 7k) × (5i - 2j + 4k)

a × b = -2 (i × j) + 4 (i × k) + 10 (j × i) + 8 (j × k) - 35 (k × i) + 14 (k × j)

a × b = -12 (i × j) - 6 (j × k) - 39 (k × i)

a × b = -6i - 39j - 12k

c) Recall the dot product identity

x • y = ||x|| ||y|| cos(θ)

We have

||a × b|| = √((-6)² + (-39)² + (-12)²) = 9√21

Then the direction cosines α, β, γ of a × b are

(a × b) • i = ||a × b|| ||i|| cos(α)

⇒   cos(α) = -6/(9√21) = -2/(3√21)

(a × b) • j = ||a × b|| ||j|| cos(β)

⇒   cos(β) = -39/(9√21)

(a × b) • k = ||a × b|| ||k|| cos(γ)

⇒   cos(γ) = -12/(9√21) = -4/(3√21)

d) a × b is perpendicular to both a and b, so we can get a unit vector by scaling this down by its magnitude. This is the same as the vector of direction cosines:

(a × b)/||a × b|| = (-6i - 39j - 12k)/(9√21)

(a × b)/||a × b|| = -2/(3√21) i - 39/(9√21) k - 4/(3√21) k

Answer:

x=11

Step-by-step explanation:

9x=7x+22

9x-7x=22

2x=22

2x/2=22/2

x=11

Answer:

49

Step-by-step explanation:

Use of open number line is

7 boxes of cherry tarts

Each box has 8 cherry tarts.

Total cheny tarts is

[tex]$$7 \times 8=7+7+7+7+7+7+7+7$$[/tex]

A straight line of numbers is shown visually as a number line. This line is used to compare integers on an endless line that extends on both sides, either horizontally or vertically, at equal intervals. On a horizontal number line, the numbers grow as we walk to the right and drop as we move to the left.

A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is said to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers. So, on a number line, we may say that the value of numbers grows as we travel to the right. This indicates that there are more numbers on the right than on the left.

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It should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.

It should be noted that we are to find the value that is bigger between 4/7 x 1/4 or 4/7 x 1/6.

Therefore 4/7 x 1/4 will be:

= 4/7 × 1/4

= 1/7

Also 4/7 x 1/6 will be:

= 4/7 × 1/6

= 2/21

Therefore, it should be noted that 4/7 x 1/4 is greater than 4/7 x 1/6.

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