Answer:
23.607
Step-by-step explanation:
<em> Given:</em>
$65,575
9%
4 Year
4 x 9% = 0.36
65,575 x 0.36 = 23.607
<u><em>Not sure if it correct or not try my best </em></u>
Using the z-distribution, it is found that the lower bound of the 99% confidence interval is given by:
d. 68.39%.
<h3>What is a confidence interval of proportions?</h3>
A confidence interval of proportions is given by:

In which:
is the sample proportion.
In this problem, we have a 99% confidence level, hence
, z is the value of Z that has a p-value of
, so the critical value is z = 2.575.
The sample size and estimate are given by:

Hence, the lower bound is given by:

Hence the lower bound is of 68.39%, which means that option D is correct.
More can be learned about the z-distribution at brainly.com/question/25890103
#SPJ1
Here's a good rhyming rule to keep in mind.
Zero to four, you get no more.
Five to nine, move up one time.
With this rule you can see that there is a 5 at the end, therefor you should round up. Your number is 720.
Answer:
height = 12 cm
base length = 4 cm
Step-by-step explanation:
area of a triangle
base length × height / 2
x = height
y = base length
x = y + 8
24 = y × (y + 8) / 2
48 = y × (y + 8) = y² + 8y
squared equation
y² + 8y - 48 = 0
solution
y = (-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = 8
c = -48
y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =
= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8
y1 = -4 + 8 = 4 cm
y2 = -4 - 8 = -12
but a negative base length did not make any sense, so only y = 4 remains.
x = y + 8 = 4 + 8 = 12 cm
Answer:
Last graph that slopes upwards from left to right and that has an y-intercept of -1
Step-by-step explanation:
let us pick some points!(you can chose any two)
when x =3 , y = 14 : helps us get points (3,14)
when x =1 , y = 4 : helps us get points (1,4)
so we find the gradient using the two points:

we now use gradient 10/2 and point (1,4) to find the equation of the line:

from the equation of the line found we are able to find the y- intercept of the line is -1 and that the line has a positive gradient thus should slope upwards from left to right.
From the pictures you posted, we pick the last graph as it seem to slope upwards from left to right and has the line cutting y axis at around -1