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mina [271]
2 years ago
14

What is the equation of the line that passes through the point (3,6) and has a slope of 4/3

Mathematics
1 answer:
Neko [114]2 years ago
7 0

Answer:

y = 4/3x+2

Step-by-step explanation:

We can use the slope intercept form of the equation

y = mx+b

Where m is the slope and b is the y intercept

y= 4/3 x +b

Substitute the point into the equation

6 = 4/3(3) +b

6 = 4 +b

Subtract 4 from each side

2 = b

y = 4/3x+2

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Joey participated in a standardized reading test. He scored in the middle of the third stanine in a normal distribution. All of
GarryVolchara [31]

Answer:

b. His t-score is 40.

Step-by-step explanation:

The middle of the third stanine in a normal distribution means that the standard of nine that is applied has the middle of the third count.

It means that if we divide the normal distribution with the standard of nine we will find the score to be  the middle of the  third division.

So it will be (1/3*9=3) more than 3.

Which in normal distribution will be more than 30.

The t distribution is approximately normal when the number of degrees of freedom is greater than 30 .

So the best answer is that <u>His t-score is 40 </u>  ( choice b).

4 0
3 years ago
A sample of 400 grams of radioactive substance decays according to the function A(t) = 400e^-.046t, where t is the time in years
algol13

Answer: There will be 0.04 grams will be left in the sample after 20 years.

Step-by-step explanation:

Since we have given that

A(t)=400e^{-0.46t}

Here, Initial amount of radioactive substance = 400 grams

We need to find the amount of substance that will be left in the sample after 20 years.

So, t = 20 years

So, it becomes,

A(t)=400e^{-0.46\times 20}\\\\A(t)=400e^{-9.2}\\\\A(t)=0.04\ grams

Hence, there will be 0.04 grams will be left in the sample after 20 years.

6 0
3 years ago
A rectangular prism has a volume of 320 cubic cm,and a height of 8 cm . What is the area of its base
gregori [183]

Volume =length *breadth *height

Volume =area of the cross section *height

320=area of the cross section * 8

Area of the cross section =320/8

=40cm2

4 0
2 years ago
What number must you add to complete the square?<br><br> x^2 + 8x = -3
KonstantinChe [14]
<span>x^2 + 8x = -3
</span><span>x^2 + 8x + 16 = -3 + 16
using a^2 + 2 a b + b^2 = (a+b)^2
</span><span>
</span>x^2 + 8x + 16 = 13

<span>(x +4)^2 = 13

answer : 16 is the number </span><span>you must add to complete the square</span>
5 0
3 years ago
When 6x² - 4x+3 is subtracted<br> from 3x²–2x+3, the result<br> is
mr_godi [17]
Let's subtract then: 3x2 - 2x + 3 - (6x2 - 4x + 3)

taking out of the bracket with a changed sign: (there is a minus in front of the bracket)

3x2 - 2x + 3 - 6x2 + 4x - 3
let's reshuffle them so that similar terms are together:
3x2 - 6x2 - 2x + 4x + 3  - 3

Adding up similar terms:

-3x2 + 2x - that's our option 2!


4 0
3 years ago
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