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3 years ago

What is the standard form when your ordered pairs are (4,5) and your slope is 5/4?

1 answer:

3 0

The slope (m) and the ordered pairs are given.
In order to arrive at the standard form : AX + BY = C, we need to form the slope-intercept form first : y = mx + b

Substitute the values in order to get the intercept (b)
y = mx + b
5 = 5/4 * 4 + b
5 = 5 + b
b = 0

So given the m = 5/4, b = 0
y = mx + b
y = 5/4x+ 0

Converting it to Standard Form
y = 5/4x + 0
5/4x - y = 0 (multiply both sides by 4)
5x - 4y = 0

So the Standard form is 5x - 4y = 0

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The question is on the picture I took. If you can please help me :)

Monica [59]

i forgot tho

Step-by-step explanation:

5 0

3 years ago

Adult female height is normally distributed with a mean of 65.3 inches and a standard deviation of 2.32 inches. a) If an adult f

emmasim [6.3K]

Answer:

0.0423 is the probability that the adult female has a height less than 61.3 inches.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 65.3 inches

Standard Deviation, σ = 2.32 inches

We are given that the distribution of adult female height is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(adult female has a height less than 61.3 inches)

$P( x < 61.3) = P( z < \displaystyle\frac{61.3 - 65.3}{2.32}) = P(z < -1.7241)$

Calculation the value from standard normal z table, we have,

$P(x < 61.3) =0.0423 = 4.23\%$

0.0423 is the probability that the adult female has a height less than 61.3 inches.

5 0

3 years ago

Pls help! Which multiplication problem is represented by the model?

Alinara [238K]

Answer:

1/2 x 4/5

Step-by-step explanation:

Step 1. Multiply the numerators:

1/12 × 4/5 = 4 x 1 = 4

Step 2. Multiply the denominators:

5 x 12 = 60

Step 3. Simplify the fraction:

4/60 = 1/15

Please mark as brainliest

Have a great day, be safe and healthy

Thank u

4 0

3 years ago

(Trigonometry) A 25-foot ladder leans against a building. The ladder's base is 13.5 feet from the building. Find the angle which

vova2212 [387]

Here, in this situation,
Hypotenuse = 25 feet
base = 13.5 feet

Now, Cos Ф = B / H
Cos Ф = 13.5 / 25
Cos Ф ≈ 1/2
Ф = Cos⁻¹(1/2)
Ф = 45 [ Cos 45 = 1/2 ]

In short, Your Answer would be approximately 45 degrees

Hope this helps!

4 0

3 years ago

Add the two expressions 3.8b - 7 and 2.9b + 9 enter your answer in simplified form

worty [1.4K]

Answer:

The answer would be 6.7b + 2

Step-by-step explanation:

In order to simplify this, simply add the like terms together.

3.8b + 2.9b = 6.7b

-7 + 9 = 2

Now just put those two together

6.7b + 2

6 0

3 years ago