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Veronika [31]
3 years ago
15

I don’t understand how to do this

Mathematics
2 answers:
neonofarm [45]3 years ago
8 0

Answer:

y = 8x + 0

Step-by-step explanation:

y = mx + b

m is slope

slope = change in y / change in x = (24 - 8) / (3 - 1) = 16/2 = 8

so equation is now y = 8x + b

Substitute any coordinate from the table to find b. let's use (1,8)

y = 8x + b

8 = 8(1) + b

0 = b

So equation is y = 8x + 0

il63 [147K]3 years ago
5 0
Answer is ; y= 8x + 0
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Make x the subject of the formula <br> a=bx+c
Rina8888 [55]

Answer:

(a-c)/b = x

Step-by-step explanation:

a = bx + c

subtract 'c' from each side to get:

(a-c) = bx

divide each side by 'b' to get:

(a-c)/b = x

3 0
2 years ago
50 students live in a dormitory. The parking lot has the capacity for 30 cars. Each student has a car with probability 12 , inde
Maurinko [17]

Answer:

P(X is greater than 30) = 0.06

Step-by-step explanation:

Given that:

Sample proportion (p) = 0.5

Sample size = 30

The Binomial can be approximated to normal with:

\mu = np = 50 \times 0.5 \\ \\ \mu= 25

\sigma = \sqrt{np(1-p) } \\ \\  \sigma = \sqrt{50 \times (0.5)(1-0.5) } \\ \\ \sigma = 3.536

To find:

P(X> 30)

So far we are approximating a discrete Binomial distribution using the continuous normal distribution. 30 lies between 29.5 and 30.5

Normal distribution:

x = 30.5, \mu = 25, \sigma = 3.536

Using the z test statistics;

z = \dfrac{x - \mu}{\sigma}

z = \dfrac{30.5 - 25}{3.536}

z = \dfrac{5.5}{3.536}

z = 1.555

The p-value for P(X>30) = P(Z > 1.555)

The p-value for P(X>30) = 1 - P (Z< 1.555)

From the z tables;

P(X> 30) = 1 - 0.9400

Thus;

P(X is greater than 30) = 0.06

7 0
3 years ago
14. Let R^2 have inner product defined by ((x1,x2), (y,, y2)) 4x1y1 +9x2y2 A. Determine the norm of (-1,2) in this space B. Dete
Vitek1552 [10]

The norm of a vector \vec x is equal to the square root of the inner product of \vec x with itself.

a. \|(-1,2)\|=\sqrt{\langle(-1,2),(-1,2)\rangle}=\sqrt{4(-1)^2+9(2)^2}=\sqrt{40}=2\sqrt{10}

b. \|(3,2)\|=\sqrt{\langle(3,2),(3,2)\rangle}=\sqrt{4(3)^2+9(2)^2}=\sqrt{72}=6\sqrt2

7 0
3 years ago
A scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters. What number of actual meters are repres
nata0808 [166]

Answer:

<u>3.6 meters</u> are represented by 18 centimeters on the blueprint.

Step-by-step explanation:

Given:

A scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters.

Now, to find the actual meters represented by 18 centimeters.

Let the actual meters represented by 18 centimeters be x.

As, given the scale on a blueprint drawing of a house shows that 10 centimeters represents 2 meters.

So, 10 centimeters equivalent to 2 meters.

Thus, 18 centimeters equivalent to x.

Now, to solve by using cross multiplication method:

\frac{10}{2}=\frac{18}{x}

<em>By cross multiplying we get:</em>

10x=36

<em>Dividing both sides by 10 we get:</em>

x=3.6\ meters.

Therefore, 3.6 meters are represented by 18 centimeters on the blueprint.

3 0
3 years ago
Abram needs to build a window frame. He needs 2 pieces of lumber that are feet long and 2 more that are feet long. How much lumb
satela [25.4K]

Answer:

D

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
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