Answer:
x = -3
Step-by-step explanation:
(x - 2)^3 + 13 = -112
Subtract 13 from both sides
(x - 2)^3 = -125
Take the cube root of both sides
x - 2 = -5
Add 2 to both sides
x = -3
A rational number is a number that can be made by dividing two integers. An integer is a number that doesn't have a fraction part.
1. 2.4 - rational
2. 74 - rational
3. 17.3333333… - rational
4. π -irrational
5. there is no number
6. –18 - rational
7. there is no number
8. 87.125 - rational
9. –30 - rational
10. –8.3 -rational
11. 58.25 -rational
12. 121 -rational
13. 4.5 -rational
14. 3 7/10 -rational
As you can see, most numbers are rational. But, when you come across pi or when you have a decimal that goes on forever without repeating (like some square roots), it tends to be irrational.
There is a probability of 22.66% that their average catch is less than 31.5 pounds
<h3>What is
z score?</h3>
The z score is used to determine by how many standard deviations the raw score is above or belaw the mean. It is given by:
z = (raw score - mean)/ (standard deviation ÷ √sample)
Given that, mean = 32, std = 4, sample = 36, hence:
For 31.5:
z = (31.5 - 32) / (4 ÷√36) = -0.75
P(z < -0.75) = 0.2266
There is a probability of 22.66% that their average catch is less than 31.5 pounds
Find out more on z score at: brainly.com/question/25638875
Answer:
First, we need to determine the slope of the line going through the two points. The slope can be found by using the formula:
m
=
y
2
−
y
1
x
2
−
x
1
Where
m
is the slope and (
x
1
,
y
1
) and (
x
2
,
y
2
) are the two points on the line.
Substituting the values from the points in the problem gives:
m
=
5
−
7
3
−
0
=
−
2
3
Now, we can use the point-slope formula to find an equation going through the two points. The point-slope formula states:
(
y
−
y
1
)
=
m
(
x
−
x
1
)
Where
m
is the slope and
(
x
1
y
1
)
is a point the line passes through.
Substituting the slope we calculated and the values from the first point gives:
(
y
−
7
)
=
−
2
3
(
x
−
0
)
We can also substitute the slope we calculated and the values from the second point giving:
(
y
−
5
)
=
−
2
3
(
x
−
3
)
We can also solve the first equation for
y
to transform the equation to slope-intercept form. The slope-intercept form of a linear equation is:
y
=
m
x
+
b
Where
m
is the slope and
b
is the y-intercept value.
y
−
7
=
−
2
3
x
y
−
7
+
7
=
−
2
3
x
+
7
y
−
0
=
−
2
3
x
+
7
y
=
−
2
3
x
+
7
Answer:
Step-by-step explanation:
Two different people are mentioned??
If this is for the same person:
-20 -20-10 = $-50.00
She's already in the negative $10, minus the check of $20 and the fee of $10
