Cos 105cos 15 <br> what’s the answer to this

Consider the following equations: f(x) = 2x – 2 and g(x) = 5 - x

zysi [14]

Answer:

The difference in slopes of $f(x)\ and\ g(x)$ is = 3

We can say slope of $f(x)$ is positive and 3 more than slope of $g(x)$ while slope of $g(x)$ is negative.

Difference of y-intercepts of $f(x)\ and\ g(x)$ is = -7

We can say the y-intercept of $g(x)$ is positive and 7 units above $f(x)$ while y-intercept of $f(x)$ is negative.

Step-by-step explanation:

Given equation:

$f(x) =2x - 2$

$g(x) =5-x$

We need to find the difference of slopes and y-intercepts of the given equations.

The standard form of a slope intercept equation of line is given by:

$y=mx+b$

where $m$ represents slope and $b$ represents y-intercept of line.

Writing the given equations in standard form to find slope and y-intercept.

$f(x) =2x +(-2)$

Slope = 2 and y-intercept =-2

$g(x) =(-1)x+5$

Slope = -1 and y-intercept =5

The difference in slopes of $f(x)\ and\ g(x)$ is = $2-(-1)=2+1=3$

We can say slope of $f(x)$ is positive and 3 more than slope of $g(x)$ while slope of $g(x)$ is negative.

Difference of y-intercepts of $f(x)\ and\ g(x)$ is = $-2-5=-7$

We can say the y-intercept of $g(x)$ is positive and 7 units above $f(x)$ while y-intercept of $f(x)$ is negative.

5 0

3 years ago

An organization will give a prize to a local artist. The artist will be randomly chosen from among 7 painters, 4 sculptors, and

Usimov [2.4K]

The probability would be 12/16 or 75%.
Hope this helps!

8 0

3 years ago

IQ scores are measured with a test designed so that the mean is 116 and the standard deviation is 16. Consider the group of IQ s

butalik [34]

Answer:

So the z-scores that separate the unusual IQ scores from those that are usual are Z = -2 and Z = 2.

The IQ scores that separate the unusual IQ scores from those that are usual are 84 and 148.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 116, \sigma = 16$

What are the z scores that separate the unusual IQ scores from those that are usual?

If Z<-2 or Z > 2, the IQ score is unusual.

So the z-scores that separate the unusual IQ scores from those that are usual are Z = -2 and Z = 2.

What are the IQ scores that separate the unusual IQ scores from those that are usual?

Those IQ scores are X when Z = -2 and X when Z = 2. So

Z = -2

$Z = \frac{X - \mu}{\sigma}$

$-2 = \frac{X - 116}{16}$

$X - 116 = -2*16$

$X = 84$

Z = 2

$Z = \frac{X - \mu}{\sigma}$

$2 = \frac{X - 116}{16}$

$X - 116 = 2*16$

$X = 148$

The IQ scores that separate the unusual IQ scores from those that are usual are 84 and 148.

8 0

3 years ago

Read 2 more answers

Solve the equations below:

Lelu [443]

➪ 3x = 15 - 2

➪ 3x = 13

★ $\large\pink{x = \sf{\dfrac{13}{3}}}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ 5x = 52 + 8

➪ 5x = 60

➪ x = $\sf\dfrac{60}{5}$

★ $\large\pink{x = 12}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ 2x + 2 = 14

➪ 2x = 14 - 2

➪ 2x = 12

➪ x = $\sf\dfrac{12}{2}$

★ $\large\pink{x = 6}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf\dfrac{1}{4} \times x = 12 - 6$

➪ $\sf\dfrac{1}{4} \times x = 6$

➪ $\sf 1 \times x = 6 \times 4$

★ $\large\pink{x = 24}$

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

➪ $\sf 2y = \dfrac{2}{5} - \dfrac{1}{5}$

➪ $\sf 2y = \dfrac{2-1}{5}$

➪ $\sf 2y = \dfrac{1}{5}$

➪ $\sf y = \dfrac{1}{5 \times 2}$

★ $\large\pink{y = \dfrac{1}{10}}$

5 0

3 years ago

Which dot plot shows three people that sleep for eight hours at night and three people that sleep for six hours at night?

liberstina [14]

Answer:

A dot plot titled How many Hours do you Sleep at Night question mark going from 5 to 9. 5 has 2 dots, 6 has 3 dots, 7 has 4 dots, 8 has 3 dots, and 9 has 1 dot.

Step-by-step explanation:

4 0

3 years ago

Cos 105cos 15 what’s the answer to this