The graph below shows a proportional relationship between x and y. What is the constant of proportionality,
y/x?

Answer:

x=12 mile/hour(the speed of the boat)

y=6 mile/hour(the speed of the current)

Step-by-step explanation:

According to the Question,

let, x be the speed of the boat in miles per hour and y be the speed of the current in miles per hour.

x+y=18 ---- Equation 1

x-y=6 ---- Equation 2

On Adding both above Equations We get,

2x=24  ⇔ x=12 mile/hour(the speed of the boat)

& x+y=18 put Value of x=12 we get  ⇔ y=6 mile/hour(the speed of the current)

Answer:

[tex](a)\ \bar x = 7.07[/tex]

[tex](b)\ \sigma^2 = 18.67[/tex]

[tex](c)\ \sigma = 4.32[/tex]

Step-by-step explanation:

Given

[tex]\begin{array}{cc}{Rate (\%)} & {f} & {0-3} & {10} & {3-6} & {9} & {6-9} & {8} & {9-12} & {7} & {12-15} & {8} \ \end{array}[/tex]

Solving (a): The average vacancy rate

First, we calculate the class midpoint (x). This is the mean of the class boundaries.

[tex]x = \frac{0+3}{2} = 1.5[/tex]     [tex]x = \frac{3+6}{2} = 4.5[/tex]    [tex]x = \frac{6+9}{2} = 7.5[/tex]

When done for the whole class, the frequency table becomes:

[tex]\begin{array}{ccc}{Rate (\%)} & {f} & {x} & {0-3} & {10} &{1.5}& {3-6} & {9} &{4.5}& {6-9} & {8} & {7.5}&{9-12} & {7} &{10.5}& {12-15} & {8} &{13.5}\ \end{array}[/tex]

The average rate is:

[tex]\bar x = \frac{\sum fx}{\sum f}[/tex]

[tex]\bar x = \frac{10*1.5 + 9*4.5+8*7.5+7*10.5+8*13.5}{10+9+8+7+8}[/tex]

[tex]\bar x = \frac{297}{42}[/tex]

[tex]\bar x = 7.07[/tex]

Solving (b): The variance

This is calculated as:

[tex]\sigma^2 = \frac{\sum f(x -\bar x)^2}{\sum f}[/tex]

[tex]\sigma^2 = \frac{10(1.5-7.07)^2 + 9(4.5-7.07)^2+8(7.5-7.07)^2+7(10.5-7.07)^2+8(13.5-7.07)^2}{10+9+8+7+8}[/tex]

[tex]\sigma^2 = \frac{784.2858}{42}[/tex]

[tex]\sigma^2 = 18.67[/tex]

Solving (c): The standard deviation.

This is calculated as:

[tex]\sigma = \sqrt{\sigma^2[/tex]

[tex]\sigma = \sqrt{18.67[/tex]

[tex]\sigma = 4.32[/tex]

Answer:

60

Step-by-step explanation:

given:

l = 10

b = 5

h = 2

to find:

2h(l + b)

substitute the given values of l , b and h

=2*2(10 + 5)

=4*15

=60

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\textsf{2h(l + b)}[/tex]

[tex]\large\text{If l = 10, b = 5, and h = 2, then substitute it into the equation!}[/tex]

[tex]\large\textsf{= 2(2)((10)+ 5)}[/tex]

[tex]\large\textsf{2(2) = \boxed{\bf 4}}[/tex]

[tex]\large\textsf{= 4(10 + 5)}[/tex]

[tex]\large\textsf{10 + 5 = \boxed{\bf 15}}[/tex]

[tex]\large\textsf{4(15)}[/tex]

[tex]\large\textsf{= \boxed{\bf 60}}[/tex]

[tex]\boxed{\boxed{\huge\text{Answer: \textst \bf 60}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

answer is 18 54 an 72 is 18

Answer:

[tex]\bar x = 13.65[/tex]

Step-by-step explanation:

Given

See attachment for graph and table

Required

Point estimate of the mean

From the attachment, we have:

[tex]\mu = 13.65[/tex]

So, the point estimate of the mean (i.e. the sample mean) is:

[tex]\bar x =\mu[/tex]

[tex]\bar x = 13.65[/tex]

Answer:

After three months the value of the food bill will be $ 224.64.

Step-by-step explanation:

Given that during the worst periods of hyperinflation in a certain country, the price of the food increased at a rate of 20% per month, for state whether this increase was linear or exponential, and determine, if your food bill was $ 130 in one month during this period, what was it three months later, the following calculations must be performed:

A hyperinflation raises prices exponentially (the percentage is calculated based on the increase of the previous month). Thus, to calculate the price of the food bill, the following calculation must be performed:

130 x 1.20 ^ 3 = X

130 x 1.728 = X

224.64 = X

Therefore, after three months the value of the food bill will be $ 224.64.

Answer:

Area of triangle = 0.5* base * height

A = 0.5*6*10

A = 30

Answer:

4080 gm

Step-by-step explanation:

To bake one cake, it will take us 650 gm flour and 30 gm sugar. When we add both of them together, it gives 680 gm (650+30). But this is only for one cake. To find the total amount of flour and sugar needed to bake 6 cakes, we will have to multiply 680 by 6. That will give you 4080 gm which is your final answer.

Step-by-step explanation:

first, determine the coordinates values like x =9 and y=-5

so x-6 =3

Answer:

22x5 = 1

34x6 = 2

Step-by-step explanation:

This might be the answer

Answer:

2x^5

Step-by-step explanation:what equals 22 is 2,11

what equals 34 equals 2,17 and 1,34 are the factors of 34x^6

Answer:

It is B - Because some applicants volunteer and meet the GPA requirements, the events are not mutually exclusive.Thus, the probability is 65%.

>3

Answer:  Choice B

Because some applicants volunteer and meet the GPA requirements, the events are not mutually exclusive.

Thus, the probability is 65%.

====================================================

Explanation:

950 people meet the GPA requirements. Also, 250 both meet the GPA requirements and volunteer. This must mean 950-250 = 700 people only meet the GPA requirements, but don't volunteer. Let A = 700.

600 people volunteer. 250 both meet the GPA requirements and volunteer. This must mean 600-250 = 350 people volunteer only (ie they don't meet the GPA requirements). Let B = 350

Let C = 250 to represent the number who meet the GPA requirements and volunteer.

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

In summary we found that,

That means A+B+C = 700+350+250 = 1300 people either meet the GPA requirements, volunteer, or both. This is out of 2000 people

1300/2000 = 13/20 = 0.65 = 65%

That calculation tells us that 65% of the 2000 applicants fit the conditions we're after. So that's the probability of randomly selecting someone to fit those conditions.

Because the value of C is not zero, this means we don't have mutually exclusive events. It's possible that someone fits both criteria. Mutually exclusive events cannot happen at the same time.

In other words, if we did have mutually exclusive events, then someone couldn't both meet the GPA requirements and volunteer at the same time (they would have to pick one or the other but not both).

Answer:

1 and 3 are the odd numbers that are less than 5. 0, 2 and 4 are the even numbers that are less than 5

Step-by-step explanation:

Answer:

the answer is 1959

Step-by-step explanation:

2834-875=1959

Answer:

Alice: $75

Brian: $125

Step-by-step explanation:

3 + 5 = 8

200 ÷ 8 = 25

25 × 3 = 75

25 × 5 = 125

Answer:

Option 1

Step-by-step explanation:

3x - 7y = -7y + 3x

They have simply been moved to opposite ends of the equation.

Answer:

276.75 miles

Step-by-step explanation:

12.3/3.2 × 72 = 276.75 miles

Answer:

153.86.

Step-by-step explanation:

Use the formula pi times radius squared.

Answer: the percent of the students at this university are foreign = 30%

Step-by-step explanation:

Given: Probability that college students are foreign students who also smoke: P(S|F)=0.12

Probability that foreign college students smoke P(S∩F)=0.4

The probability that the students at this university are foreign :

[tex]P(F)=\dfrac{P(S\cap F)}{P(S|F)}[/tex]  [By conditional probability formula]

[tex]=\dfrac{0.12}{0.4}\\\\=0.3[/tex]

Hence, the percent of the students at this university are foreign = 30%

Answer:

Answer:

5.363×10^8

Step-by-step explanation:

Answer:

Answer = 3053.63

Step-by-step explanation:

The formula for finding the volume of a sphere is : V = 4/3 πr³

V = 4/3· π · [tex]9^{3}[/tex]

≈ 3053. 62806

Rounded to the hundreths place is 3053.63.

Answer:

x=2.8

Step-by-step explanation:

If JKLMN and PQRST are similar then you can look the to other sides to find the ratio that relates the two. For this specific one you are able to fin 0.4 is the relationship.

NJ is related to TP by a factor of 1.4. -> NJ*1.4=TP -> 4*1.4=5.6

The rest can be said to relate all the other sides together.

Answer:

Answer:

express the following equation as two statement each using the word varies and proportional i) v(rl=4/3

The area of a circle is pi times the radius squared (A = π r²).

Answer:fafdafadfaf

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

JM = LM

8x - 3 = 141

8x = 141 + 3

8x = 144

x = 144/8

x = 18

Answer:

since its a square each side is equal so

8x-3=141

8x=144

x=18

so

A: x=18

Hope This Helps!!!

Answer:

Step-by-step explanation:

By using linear regression calculator,

Linear regression equation representing the data set will be,

y = 7.79x + 34.27

Correlation coefficient of the line will be,

R = 0.98

Since, correlation coefficient of the line is (+0.98), relation between the two variables is a strong linear relationship.

That means hours spent studying has the strong relation with test scores obtained.

Answer:

2310 ways

Step-by-step explanation:

We are given;

Number of cans = 11

Number of cans of corn = 4

Number of cans of peas = 1

Number of cans of beets = 6

Following the rule of combination and permutations and applying it to this question, we have;

Number of ways = 11!/(6! × 1! × 4!)

Number of ways = 2310 ways

Answer:

[tex]\frac{12}{49}[/tex]

Step-by-step explanation:

[tex]\frac{4}{7} *\frac{3}{7} = \frac{12}{49}[/tex]

Hope this helps.