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3 years ago

Help me out please! Super please

Mathematics

1 answer:

garri49 [273]3 years ago

3 0

Answer:

The equation of the perpendicular line is;

y = -4x + 15

Step-by-step explanation:

Firstly, we get the slope of the former line

we do this by comparing its equation with;

y = mx + b

This is the standard form with m representing the slope

Thus;

for y = x/4 -2

y = x(1/4) -2

slope = 1/4

Since the other equation is perpendicular to this line, the product of theirs slopes will give -1

Mathematically;

m2 * 1/4 = -1

m2 = -4

So we want to write the equation of the line with slope -4 and passing the point (4,-1)

we have;

y-y1 = m(x-x1)

y + 1 = -4(x-4)

y = -4x + 16-1

y = -4x + 15

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Please help me factorize this<br>x(a-<br><img src="https://tex.z-dn.net/?f=x%28a%20-b%29%20%2B%20a%20-%20b" id="TexFormula1" tit

Nostrana [21]

I’m not sure but I think it’s:
(a-b)(x+1)

7 0

3 years ago

Please help me answer for 35 and 36

dexar [7]

Answer:

35. $f(2)=16$

36. $f(2)=77$

Step-by-step explanation:

Question 35:

Given:

$f(1)=32$

$f(n)=f(n-1)\times \frac{1}{2}$

Plug in 2 for $n$ and simplify. This gives,

$f(2)=f(2-1)\times \frac{1}{2}\\f(2)=f(1)\times \frac{1}{2}\\f(2)=32\times \frac{1}{2}\\f(2)=16$

Therefore, term 2 is 16.

Question 36:

Given:

$f(1)=11$

$f(n)=f(n-1)\times 7$

Plug in 2 for $n$ and simplify. This gives,

$f(2)=f(2-1)\times 7\\f(2)=f(1)\times 7\\f(2)=11\times 7\\f(2)=77$

Therefore, term 2 is 77.

8 0

3 years ago

WRITING TO EXPLAIN, HOW COULD YOU USE 5 X 6 =30 TO FIND THE PRODUCT <br> OF 6 X6 ?

Solnce55 [7]

5x6=30
6x6=36

You would need 1 more 6
I can't explain this very well, sorry.

8 0

3 years ago

Read 2 more answers

Angle of a triangle measures 115° the other two angles are in the ratio of 4:9 what are the measures of those two angles

nasty-shy [4]

Answer:

20, 45

Step-by-step explanation:

A triangle has 180 degrees interior angle measure. One angle measure 115 so that means the other two angles must add up to 65.

The remaning angles form a ratio of 4:9. This means we must split 65 into a ratio of. 4:9

A ratio partition parts of something. We can add the ratio intergers to find it full length.

4+9=13.

Divide 65/13=5.

Multiply 5x4 and 5x9 serpately.

We get 20 and 45

6 0

3 years ago

A sample of size 6 will be drawn from a normal population with mean 61 and standard deviation 14. Use the TI-84 Plus calculator.

AVprozaik [17]

Answer:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean". The letter $\phi(b)$ is used to denote the cumulative area for a b quantile on the normal standard distribution, or in other words: $\phi(b)=P(z$

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(61,14)$

Where $\mu=61$ and $\sigma=14$

Since the distribution for X is normal then the distribution for the sample mean $\bar X$ is also normal and given by:

$\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})$

$\mu_{\bar X} = 61$

$\sigma_{\bar X}= \frac{14}{\sqrt{6}}= 5.715$

So then is appropiate use the normal distribution to find the probabilities for $\bar X$

8 0

3 years ago