Which equations represents a line that passes through (4, 1/3) and has a slope of 3/4

Answer:

y= 5/7x -2.7

Step-by-step explanation:

Y= mx + c                             (-3,-3)   (4,2)

                                           x1  , y1     x2, y2

to find m (gradient)

y^2 - y^1 / x^2 - x^1

2-(-3) / 4 - (-3)

5/7                               m = 5/7

take (4,2)  and gradient and substitute

2=5/7(4) + c

2=4.7+ c

2-4.7 = c

-2.7 = c

now we have c and m so just put it in the equation

y= 5/7x -2.7

Answer:10 7/24

Step-by-step explanation:

i had the same qustion

Answer:

A'(-4, 8), B'(3, 6), C'(-6, -1)

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.

If a point X(x, y) is reflected about the y = x line, the new location is X'(y, x)

Triangle ABC has vertices at A(8.-4), B(6,3), and C(-1.-6), if it is reflected about the y = x line, the new location is A'(-4, 8), B'(3, 6), C'(-6, -1)

Answer:

(a) 259.5 days

(b) 284 days

Step-by-step explanation:

Let X represent the pregnancy length in days.

It is provided that \(X\sim N(270,9^{2})\).

(a)

Let a represent the minimum pregnancy length that can be in the top 12% of pregnancy lengths.

Then,

P (X < a) = 0.12

⇒ P (Z < z) = 0.12

The corresponding z-score is, z = -1.17.

*Use a z-table.

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\-1.17=\frac{a-270}{9}\\\\z=270-(9\times 1.17)\\\\z=259.47\\\\z\approx 259.5\)

Thus, the minimum pregnancy length that can be in the top 12% of pregnancy lengths is 259.5 days.

(b)

Let b be the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths.

Then,

P (X > b) = 0.06

⇒ P (X < b) = 0.94

⇒ P (Z < z) = 0.94

The corresponding z-score is, z = 1.56.

*Use a z-table.

Compute the value of x as follows:

\(z=\frac{x-\mu}{\sigma}\\\\1.56=\frac{b-270}{9}\\\\z=270+(9\times 1.56)\\\\z=284.04\\\\z\approx 284\)

Thus, the maximum pregnancy length that can be in the bottom 6% of pregnancy lengths is 284 days.

he is going to pay $3 for the small one

for the large one we have that it is 5 times ithe price of the small one so w gotta multiply 3 by 5 which gives us 15 dollars we add them 15+3=18 so he gotta pay $18 for both the small one and the large one

The total capacity of the big school bus is 140 children.

To find out how many children can fit into the big school bus, let's work through the given information step by step.

When the bus left Area A, it was 2/7 full. This means that 2/7 of the bus's capacity was occupied by children. Let's represent the total capacity of the bus as 'x'. Therefore, 2/7 of 'x' corresponds to the number of children on the bus when it left Area A.

After the bus arrived at Area B, 9 children alighted, which means the number of children decreased by 9. We are then told that there were 31 children remaining on the bus. So, the number of children on the bus before any alighted was 31 + 9 = 40.

Since 2/7 of the bus's capacity was occupied by children when it left Area A, we can set up the following equation:

(2/7) * x = 40

To solve for 'x', we can multiply both sides of the equation by (7/2):

x = 40 * (7/2)

x = 140

Therefore, the total capacity of the big school bus is 140 children.

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Answer:

below

Step-by-step explanation:

angle c is on same line with 70°

so 180-70 = 110 = c°

angle a is opposite to 35° so angle a = 35°

take triangle in which a,b, 90 ° are there

35+b+90 = 180

b= 55°

Answer:  -6 only (choice B)

This is because the point (0,-6) is on the blue line. This is the y intercept.

Choice C would be true if you wanted to solve f(x) = 0, instead of f(0) itself.

Answer:

-6

Step-by-step explanation:

f(0) means what is the output when the input is 0

x=0 y= -6

All you need to do is divide $14 by 25 to find the unit price !

Or in other words, dvide the total price by the total amount of units

14 / 25 = 0.56

This means it is about $0.56 per unit!

Hope I helped! Message me if you have any questions or concerns.

Answer:

Step-by-step explanation:

{7,11,13}

Answer:

The current deer population is 240.

Step-by-step explanation:

The expression given models a exponential decay follows:

\(p(n) = 240*(0.978)^n\)

For every year that passes since the beginning of the count the population is 0.978 of the year prior. Assuming that the count starts at this year, then "n" is equal to 0, applying this value of n to the formula gives us:

\(p(0) = 240*(0.978)^0\\p(0) = 240*1 = 240\)

The current deer population is 240.

After 10 days, the expected number of shoppers at the shopping mall is 163.

It is given that the number of shoppers increases daily by 5% from the number of shoppers the previous day.

As we can see that the increase in the number of shoppers is going to change every day, and the above case is compounded daily.

The formula of compound increase is

Amount = Base X (1 + r/n)ⁿˣ

where,

Base = original amount

r = rate of change

n = no. of times the change occurs in the time period

t = time

Here,

Base = 100

r = 5/100

n = 1, since it changes once every day

x = 10

Therefore we get

100 X (1 + 5/100)¹⁰

= 100 X 1.05¹⁰

162.88

Since the number of people cannot be in decimal,

the expected number of people is 163

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Answer: 13. 30

Step-by-step explanation:

13. Area = 18x * 10y = 180xy

Length = 6th

With ?

180xy = 6xy x width

180 x/6xy

Width = 30

14. 3^(9-5)= 3^4 = 81 the truck weighs 81 times as the driver

3^5

Step-by-step explanation:

First set both equation equal to each other since the lines are parallel means that the corresponding angles are congruent. 2x+16=3x-12 x=28 then substitute for x in the equation and they both equal 72 so that is correct but then you need to subtract 180 from 72, so 180-72=108 so the answer is 108. :) If you're wondering why subtract from 180 is bc they are supplementary meaning both angles should add up to 180

Hope this helped

The probability that the number rolled is less than five and the coin toss is tails is 1/3 in its simplest form.

We have,

To calculate the probability, we need to determine the number of favorable outcomes and the total number of possible outcomes.

When rolling a number cube, there are six possible outcomes: 1, 2, 3, 4, 5, and 6.

When tossing a coin, there are two possible outcomes: heads and tails.

To find the probability that the number rolled is less than five and the coin toss is tails, we need to consider the favorable outcomes for both events.

The numbers less than five on the number cube are 1, 2, 3, and 4.

And for the coin toss, we are interested in the outcome of tails.

The favorable outcomes are:

Number cube: 1, 2, 3, 4 (4 outcomes)

Coin toss: Tails (1 outcome)

To find the probability, we multiply the probabilities of the individual events:

Probability of number cube < 5: 4/6 = 2/3

Probability of coin toss being tails: 1/2

Probability of both events occurring: (2/3) * (1/2) = 2/6 = 1/3

Therefore,

The probability that the number rolled is less than five and the coin toss is tails is 1/3 in its simplest form.

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Answer:

\(q = \frac{4A}{h} - b\)

Step-by-step explanation:

Please see the attached picture for full solution.

To make a decision for the hypothesis test, we need to analyze the ANOVA summary table for the test of significance of the overall regression model.

From the table, we can see that the regression sum of squares (SS) is given as 20, and the residual sum of squares (SS) is given as 400. We also know that the total sum of squares (SS) is the sum of the regression SS and the residual SS.

Since the degrees of freedom (df) for the regression model is equal to the number of predictor variables (k) minus 1 (k - 1), and the df for the residual is the total sample size (n) minus the number of predictor variables (k), we can calculate the df for the regression and the residual.

Given that the sample size (n) is 45 and the number of predictor variables (k) is 4, we can calculate:

df for regression = k - 1 = 4 - 1 = 3

df for residual = n - k = 45 - 4 = 41

Next, we need to calculate the mean square (MS) for the regression and the residual by dividing the SS by their respective degrees of freedom.

MS for regression = SS for regression / df for regression = 20 / 3

MS for residual = SS for residual / df for residual = 400 / 41

Finally, we can calculate the F-statistic by dividing the MS for regression by the MS for residual.

F = (MS for regression) / (MS for residual)

Now, we can compare the calculated F-statistic to the critical F-value at the given significance level (α = 0.05). If the calculated F-statistic is greater than the critical F-value, we reject the null hypothesis. Otherwise, we fail to reject the null hypothesis.

Without the information of the critical F-value or the calculated F-statistic, we cannot make a definitive decision or final conclusion for the hypothesis test. Please provide the necessary values, and I will be able to help you with the decision and conclusion.

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Answer:

$12.56

Step-by-step explanation:

$50.24 divided by the 4 friends = $12.56

I divided the total cost by the amount of friends who went to the museum and so I did $50.24 divided by the 4 friends = $12.56.

Each friend paid $12.56 for a ticket to the museum this was calculated by dividing the total cost of $50.24 by the number of friends, which is 4. So, they each paid an equal amount of $12.56.

To find out how much each friend paid for a ticket to the museum, we can divide the total amount they paid by the number of friends.

Given that there are 4 friends and the total cost is $50.24, we simply divide $50.24 by 4:

Amount each friend paid = Total cost / Number of friends

Amount each friend paid = $50.24 / 4

Calculating this division:

Amount each friend paid = $12.56

Therefore, each friend paid $12.56 for a ticket to the museum.

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Step-by-step explanation:

first u need to pick a random coordinate to substitute the X . example 0

y = 2(0) + 1

y =1 , X= 0

X= 1

y= 2(1) + 1

y= 3, X= 1

then you continue this same process and again until u have at least two points to draw a straight line. it kinda depended if u want to fill the entire graph.

Answer:

7

Step-by-step explanation:

hey there,

< Here's how you do subtraction in fractions!

Make sure you find a least common denominator. Here, it's given to you to be 15. Usually, you can just multiply the two denominators but then it would be quite large at times, so you kind of just have to guess.

How did they go from  \(\frac{4}{5} x-\frac{1}{3} x\)  to \(\frac{?}{15} x\)?

Well, they used a least common denominator. 5 was multiplied by 3 to create 15, and 3 was multiplied by 5. But when you multiply the bottoms, you have to multiply the tops of the fraction too (the numerators).

So 4/5x was multiplied by 3. Denominator turned out to be 15, and now the top is 4x3 = 12. So the fraction is 12/15.

1/3x, on the other hand, was multiplied by 5. Denominator was also 15 so they're the same, and top is 1x5 = 5. So the fraction is 5/15.

Now, let's put them together.

\(\frac{12}{15}x-\frac{5}{15} x\)

When subtracting x, the x just stays there, so if it was 10x-4x, the answer would've been 6x. So now let's subtract!

12-5 = 7, and the denominator stays the same.

The answer is \(\frac{7}{15} x\). So the numerator, or answer to your question, would be 7.

Hope this helped! Feel free to ask anything else.

Answer:

which lines

Step-by-step explanation:

draw a picture

Answer:

x = 48

Step-by-step explanation:

given a line parallel to a side of a triangle and it intersects the other two sides, it divides those sides proportionally, that is

\(\frac{x}{18}\) = \(\frac{56}{21}\) ( cross- multiply )

21x = 18 × 56 = 1008 ( divide both sides by 21 )

x = 48

An Edgeworth box is used to represent the initial allocation of goods between David and Wilson based on their endowments of onion rings and chips.

An Edgeworth box is a graphical representation used to analyze the allocation of goods between two individuals.

In this case, we consider David and Wilson's initial endowments of onion rings and chips.

To draw the Edgeworth box, we create a rectangular box where the horizontal axis represents the quantity of onion rings (q1) and the vertical axis represents the quantity of chips (q2). The box is divided into four quadrants, representing the allocation of goods to each individual.

Based on their initial endowments, David has 35 onion rings and 10 chips, while Wilson has 5 onion rings and 20 chips.

We label the initial allocation of goods as point "e" within the Edgeworth box, indicating the quantities of onion rings and chips for each person.

By visually representing the initial allocation in the Edgeworth box, we can analyze the potential for trade and the possibility of mutually beneficial exchanges between David and Wilson based on their preferences and utility functions.

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Since the figure is dilated by a factor of 4, the coordinates of point g of the pre-image is (-2, 1)

The coordinates of the image are given as:

The dilation rule is given as:

(x,y) -> 4(x,y)

So, we have:

(-8,4) = 4 * g

Divide both sides by 4

g = (-2,1)

Hence, the coordinates of point g of the pre-image is (-2, 1)

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Answer:

A

Step-by-step explanation:

edge

Answer:

12.5

Step-by-step explanation:

40% is 0.4. 0.4 is 1/4. 1/4 * 50 is 12.5

Answer:

30 dollars.

Step-by-step explanation:

40% of 50 is 40/100 * 50 = 20

The price has been reduced by 20

The new price is 50 - 20 = 30 dollars

Answer:

3/2

Step-by-step explanation:

XY/Z

-2×-3/4

6/4

3/2

Answer:

Q2) A 0.5//// B 0.11//// C 1.7//// D 1.15//// E 2.13//// F 4.1