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2 years ago

A line passes through the point (8,9) and has a slope of 3/4

Mathematics

1 answer:

stepan [7]2 years ago

7 0

Answer: $y=\frac{3}{4}x+3$

Step-by-step explanation:

Slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept. Since we are given slope, we can plug that into m, and use the given point to find the y-intercept.

$y=\frac{3}{4}x+b$ [plug in (8,9)]

$9=\frac{3}{4}(8)+b$ [multiply]

$9=6+b$ [subtract both sides by 6]

$b=3$

Now that we have b, we can complete the equation to $y=\frac{3}{4}x+3$ .

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I am Lyosha [343]

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2 years ago

Northridge Middle School collected 5022 cans of food for a food drive. Each of 18 homerooms collected the same number of cans. A

taurus [48]

Answer:

Step-by-step explanation:

Divide the total number of cans (5022) by the number of homerooms (18) to get the number of cans collected by each homeroom:

5022 cans

---------------------- = 279 cans per homeroom

18 homerooms

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3 years ago

How does the experimental probability of choosing a yellow tile compare with the theoretical probability of choosing a yellow ti

Evgen [1.6K]

Answer:

The experimental probability is the same as the theoretical probability.

Step-by-step explanation:

The given data is:

color observed frequency relative frequency

Red 15 3/10

Blue 12 6/25

Green 8 4/25

Yellow 10 1/5

Purple 5 1/10

The experiment was repeated 50 numbers of times.

Solution:

Theoretical probability is basically what is expected to happen without experimenting and experimental probability is what actually happens as a results of an experiment.

Theoretical probability = favorable outcomes / all possible outcomes

Experimental probability = no. of times outcome occurs / no. of times

experiment is performed The experimental probability and theoretical probability are same i.e. 1/5

This can be seen from the table:

Experimental probability = 1/5

As the experiment is performed 50 times and the outcome (yellow tile) occurs 10 times so using the formula of experimental probability:

10/50 = 1/5

Now as given, there are 5 number of tiles (red,blue,green,yellow,purple) so number of possible outcomes is 5. Yellow tile among these 5 tiles is 1. So the favorable outcomes is 1. So looking at the given formula of theoretical probability:

1/5

experimental probability = 1/5

theoretical probability = 1/5

Hence the experimental probability is the same as the theoretical probability.

4 0

2 years ago

What is the soulution set of the equation 3x^2=48

valentina_108 [34]

Answer:

x = ± 4

Step-by-step explanation:

given 3x² = 48 ( divide both sides by 3 )

x² = 16 ( take the square root of both sides )

x = ± $\sqrt{16}$ = ± 4

x ∈ {- 4, 4 }

8 0

3 years ago

Read 2 more answers

A= [2, 3; 2, 1], B=[3; 5]. Find AB & BA if possible

oksano4ka [1.4K]

Answer:

The value of AB is $\left[\begin{array}{ccc}21\\11\end{array}\right]$ and it's not possible to multiply BA.

Step-by-step explanation:

Consider the provided matrices.

$A=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right]$ , $B=\left[\begin{array}{ccc}3\\5\end{array}\right]$

Two matrices can be multiplied if and only if first matrix has an order m × n and second matrix has an order n × v.

Multiply AB

Matrix A has order 2 × 2 and matrix B has order 2 × 1. So according to rule we can multiply both the matrix as shown:

$AB=\left[\begin{array}{ccc}2&3\\2&1\end{array}\right] \left[\begin{array}{ccc}3\\5\end{array}\right]$

$AB=\left[\begin{array}{ccc}2\times 3+3\times 5\\2\times 3+1\times 5\end{array}\right]$

$AB=\left[\begin{array}{ccc}6+15\\6+5\end{array}\right]$

$AB=\left[\begin{array}{ccc}21\\11\end{array}\right]$

Hence, the value of AB is $\left[\begin{array}{ccc}21\\11\end{array}\right]$

Now calculate the value of BA as shown:

Multiply BA

Matrix B has order 2 × 1 and matrix A has order 2 × 2. So according to rule we cannot multiply both the matrix.

We can multiply two matrix if first matrix has an order m × n and second matrix has an order n × v.

That means number of column of first matrix should be equal to the number of rows of second matrix.

Hence, it's not possible to multiply BA.

5 0

3 years ago