Please I need this ASAP

What is the slope and y-intercept for the graph of the equation<br><br> Y= 4/5 x - 3 ?

vichka [17]

So,

The slope-intercept form is as follows:
y = mx + b

"m" is the slope, and "b" is the y-intercept. The y-intercept for this equation is (0,b).

Our equation is $y= \frac{4}{5} x-3$

That means that $\frac{4}{5}$ is the slope, and -3 is the y-intercept.

5 0

4 years ago

The first three terms of a sequence are given. 311,305,299 find the 32nd term

Brums [2.3K]

125 the common ratio es -6

3 0

3 years ago

A random sample of 144 recent donations at a certain blood bank reveals that 81 were type A blood. Does this suggest that the ac

Reptile [31]

Answer:

Null hypothesis: $p=0.4$

Alternative hypothesis: $p \neq 0.4$

$z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98$

$p_v =2*P(z>3.98)=0.0000689$

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

Step-by-step explanation:

Information given

n=144 represent the random sample taken

X=81 represent the number of people with type A blood

$\hat p=\frac{81}{144}=0.5625$ estimated proportion of people with type A blood

$p_o=0.4$ is the value that we want to verify

$\alpha=0.01$ represent the significance level

z would represent the statistic

$p_v{/tex} represent the p value Hypothesis to testWe want to test if the percentage of the population having type A blood is different from 40%.: Null hypothesis:[tex]p=0.4$

Alternative hypothesis: $p \neq 0.4$

the statistic is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.5625 -0.4}{\sqrt{\frac{0.4(1-0.4)}{144}}}=3.98$

Now we can calculate the p value with this probability taking in count the alternative hypothesis:

$p_v =2*P(z>3.98)=0.0000689$

Since the p value is very low compared to the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true percent of people with type A of blood is significantly different from 0.4 or 40%

3 0

3 years ago

Find X, AB, BC, and AC if B is the midpoint of AC

Mkey [24]

Answer:

x=6, AB=61, BC=61, AC=122

Step-by-step explanation:

$AB=BC \\ \\ 10x+1=8x+13 \\ \\ 2x=12 \\ \\ x=6 \\ \\ AB=BC=61 \\ \\ AC=122$

4 0

2 years ago

Write a new function that represents a transformation to the parent function if the new function shifts right 5 units and up 3 u

irga5000 [103]

Answer:

Let's define two transformations.

Vertical translation.

If we have a function f(x), a vertical translation of N untis is written as:

g(x) = f(x) + N

If N is positive, then the translation is upwards

If N is negative, then the translation is downwards.

Horizontal translation.

If we have a function f(x), a horizontal translation of N units is written as:

g(x) = f(x - N)

if N is positive, then the translation is to the right

If N is negative, then the translation is to the left.

Now we have a function g(x) that is a transformation of a parent function f(x) (we actually do not know which parent function, so i assume f(x) = x^2) such that we have a shift right 5 units and up 3 units.

Then:

g(x) = f(x - 5) + 3

and again, using f(x) = x^2

g(x) = (x - 5)^2 + 3

6 0

3 years ago