Answer:
no, they are not.
Step-by-step explanation:
3z means a number multiplied by 3
so if z is 2, 3(2) = 6
but z^3 means z multiplied by z, and then multiplied by z again.
so if z is 2, it's 2x 2 = 4 x 2 = 8
let me know if you have questions
The two expressions are not equivalent to each other.
What are equivalent expressions?Equivalent expressions are expressions that are equal and synonyms to each other when used differently with various mathematical concepts.
From the expressions given:
z^33zThe first expression is a variable (z) raised to a power of 3. The power is also called an exponent.The second expression is a variable(z) that has a coefficient of 3Let us assume that:
z^3 = 3z
Now, let's replace 2 for the value of z on both sides, we have:
(2)^3 = 3(2)
8 ≠ 6
Learn more about equivalent expressions here:
https://brainly.com/question/2972832
ou are interested in estimating the the mean age of the citizens living in your community. In order to do this, you plan on constructing a confidence interval; however, you are not sure how many citizens should be included in the sample. If you want your sample estimate to be within 4 years of the actual mean with a confidence level of 96%, how many citizens should be included in your sample
Answer:
[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.96}{2} = 0.02[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.02 = 0.98[/tex], so Z = 2.056.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Within 4 years of the actual mean
We have to find n for which M = 4. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]4 = 2.056\frac{\sigma}{\sqrt{n}}[/tex]
[tex]2.056\sqrt{n} = 4\sigma[/tex]
[tex]\sqrt{n} = \frac{4\sigma}{2.056}[/tex]
[tex](\sqrt{n})^2 = (\frac{4\sigma}{2.056})^2[/tex]
[tex]n = (\frac{4\sigma}{2.056})^2[/tex]
[tex](\frac{4\sigma}{2.056})^2[/tex], rounded up, if needed, citizens should be included in the sample, in which [tex]\sigma[/tex] is the standard deviation of the population.
plz help right now plz
What is the area of this figure ?
I don't see a figure, but to find area use the formula:
A= W x H
(W= width H= height)
all points of the step function f (x) are graphed
What is the volume of an aquarium if 50cm long 10 cm broad 15 cm high
Answer:
Im pretty sure its 7.5 litres i might be wrong still.
Answer:
7,500 cm
Step-by-step explanation:
It would be 7,500 cm because if you do 50 X 10 you get 500 because the volume formula is L X W X H then you would multiply 500 times 15 and you get 7,500 cm.
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 25 of its size. What is the scale of the new drawing?
Answer:
40 feet by 4 feet
Step-by-step explanation:
Given length (l) = 100 feet
width (w) = 10 feet
As mentioned in the question the size of garden is decreased to 2/5 of its size. It will effect the length and width with the same proportion.
So,
New length = 100 * 2/5 = 40 feet
New width = 10 * 2/5 = 4 feet
Therefore, the scale of new drawing would be 40 feet by 4 feet.
Skyler goes to a school which has 1000 students in it.
She asks 40 random students whether they like the new 8.30 am start to the day.
30 of them say 'no' they do not like it.
Use this information to estimate how many students in the whole school
dislike the 8.30 am start.
Answer:
750?
Step-by-step explanation:
there is groups of 40 so we take 1000/40 now we have 25 take 25x10 and we will and up with 250 minus 1000 - 250 and we have 750
Use intercepts to graph the linear equation 3x - y = -5.
x intercept
y intercept
step by step
Answer:
x intercept =(-5/3,0)
y intercept = (0,5)
Step-by-step explanation:
FOR THE X INTERCEPT:
-plug 0 in for the y value because the y value is 0 at the x intercept.
* 3x-0=-5 ---> 3x=-5 -----> x=-5/3 while y = 0
FOR THE Y INTERCEPT
-do the same thing as the x intercept, but instead of making y 0, make x 0.
* 3(0) -y=-5 ----> 0-y=-5 -----> -y=-5 ------->y=5 while x=0
1. Use the triangle below to determine the values indicated:
Answer:
A. Sine Y = 20 / 29
B. Cos Y = 21 / 29
C. Tan Y = 20 / 21
D. Sine Z = 21 / 29
E. Cos Z = 20 / 29
F. Tan Z = 21 / 20
Step-by-step explanation:
A. Determination of Sine Y
Opposite = 20
Hypothenus = 29
Sine Y =?
Sine Y = Opposite / Hypothenus
Sine Y = 20 / 29
B. Determination of Cos Y
Adjacent = 21
Hypothenus = 29
Cos Y =?
Cos Y = Adjacent / Hypothenus
Cos Y = 21 / 29
C. Determination of Tan Y
Opposite = 20
Adjacent = 21
Tan Y =?
Tan Y = Opposite / Adjacent
Tan Y = 20 / 21
D. Determination of Sine Z
Opposite = 21
Hypothenus = 29
Sine Z =?
Sine Z = Opposite / Hypothenus
Sine Z = 21 / 29
E. Determination of Cos Z
Adjacent = 20
Hypothenus = 29
Cos Z =?
Cos Z = Adjacent / Hypothenus
Cos Z = 20 / 29
Determination of Tan Z
Opposite = 21
Adjacent = 20
Tan Z =?
Tan Z = Opposite / Adjacent
Tan Z = 21 / 20
PLEASE HELP what is the solution to |2x-8|<2
Answer:
A
Step-by-step explanation:
You have two inequalities:
2x-8<2 = 2x<10 = x<5
-2x+8<2= -2x<-6 = x>3
Combine the two to get 3<x<5
Hope this helps!
Answer and Step-by-step explanation:
The answer would be A, in which x can be any value between 3 and 5, exclusive, or not including.
This is because in this situation, if you put any number greater than or equal to 5, or any number less than or equal to 3 it would be greater than 2 due to the absolute thing (noted as | | )
So, any number thats between 3 and 5 will work, as it will be less than 2.
#teamtrees #POG (Plant Our Garden)
find the distance between (3,7) and (-1,4)
Answer:
5
Step-by-step explanation:
To find the distance between two points, use the distance formula, [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point, while the [tex]x_2[/tex] and [tex]y_2[/tex] represent the x and y values of another point. Thus, substitute the x and y values of the given points into the appropriate places of the formula and solve:
[tex]d = \sqrt{((-1)-(3))^2+((4)-(7))^2} \\d = \sqrt{(-1-3)^2+(4-7)^2} \\d = \sqrt{(-4)^2+(-3)^2} \\d = \sqrt{16 + 9 } \\d = \sqrt{25} \\d = 5[/tex]
Thus, the distance is 5 units.
Answer this correctly I'll give brainalist + 10 points
Answer:
22
Step-by-step explanation:
22.5 is more accurate
Which of the following expressions could NOT be used to find the volume of the sheet cake? Select all that apply.
Incorrect
60 × 3
Correct
12 + 5 + 3
Incorrect
3 × 5 × 12
Correct
12 × 5
Correct
(12 × 5) + 3
x -8 = -11 what is X?
Answer:
x=-3
Step-by-step explanation:
How?
so the easiest and quickest way to answer these type of questions are to do the opposite.
so -11+8=-3
if you get a question like
3x+2=17
17-2=15
15 divided by 3=5
so x=5
hope that helps
thank you
Which graph shows a dilation?
Graph the linear equation. Find three
points that solve the equation, then
plot on the graph.
3x - 4y = -18
Does this graph represent a function? Why or why not?
-10 -884
O A. Yes, because it passes the vertical line test.
O B. Yes, because it passes the horizontal line test.
C. No, because it is not a straight line.
D. No, because it fails the vertical line test.
Write down the value of the 5 in each of these
numbers.
8.154
751 602
1 567 324 896
Answer:
8.154 - 0.05
751 602 - 50 000
1 567 324 896 - 500 000 000
GRAPH f(x)=-|x-5|
i need the endpoint and then any other point
Answer:
The highest point is at (5, 0)
Another point on this graph is (6, -1)
The graph and explanation are below.
5
Find two numbers with a sum of 15 and a difference of 3.
Step-by-step explanation:
let the no be x and y
x+y=15
y=15-x.......eqn i)
x-y=3..........eqn ii)
putting value of y from eqn i ) to eqn ii)
x-y=3
x-(15-x)=3
x-15+x=3
2x-15=3
2x=18
x=9
no,putting value of x in eqn i)
y=15-x
y=15-9
y= 6
So,the value of x is 9 and y is 6
15 points really need the right answer :(
Answer:
-4x^9
Step-by-step explanation:
Find the unknown number 10% of what number is 300
Answer:3,000
Step-by-step explanation:
Answer:
3000
Step-by-step explanation:
300 x
10 100
300x100
30,000
30,000/10
3000
A new park is built with a 3/4 mile trail around a lake. The city wants to include a bench every 1/8 of a mile. How many benches are needed.
Answer:
6 benches are needed
Step-by-step explanation:
3/4= 6/8
1/8 goes into 6/8, 6 times so,
6 benches are needed on the 3/4 mile trail
3x+5=12-7x solve? Help
Answer:
3x + 5 = 12 - 7x
⇒ 3x = 12 - 5 - 7x
⇒ 3x = 7 - 7x
⇒ 3x + 7x = 7
⇒ 10x = 7
⇒ x= 7 ÷ 10
⇒ x = 0.7
Fewer young people are driving. In 1995, 63.9% of people under years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to in . Suppose these results are based on a random sample of people under years old who were eligible to have a driver's license in and again in . a. At confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in
Answer:
A. 0.0272
B. 0.0278
C. No
Step-by-step explanation:
a. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 1995u
First step is to calculate the Standard error using this formula
Standard error(SE)= √(pcap * (1 - pcap)/n)
Where,
pcap represent sample proportion = 0.639
n represent sample size = 1200
Let plug in the formula
Standard error (SE)= √(0.639 * (1 - 0.639)/1200)
Standard error(SE)= 0.0139
Second step is to find Zc using this formula
Zc = Z(α/2)
Where,
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Zc = Z(α/2) = 1.96
Now let calculate the Margin of Error using this formula
Margin of Error= zc * SE
Let plug in the formula
Margin of Error = 1.96 * 0.0139
Margin of Error = 0.0272
Therefore the Margin of Error is 0.0272
b. Calculation for the margin of error and the interval estimate of the number of eligible people who had a driver’s license in 2016
First step is to calculate the Standard error using this formula
Standard error(SE)= √(pcap * (1 - pcap)/n)
Where,
pcap represent sample proportion = 0.417
n represent sample size = 1200
Let plug in the formula
Standard error (SE)= √(0.417 * (1 - 0.417)/1200)
Standard error(SE)= 0.0142
Second step is to find Zc using this formula
Zc = Z(α/2)
Where,
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
Zc = Z(α/2) = 1.96
Now let calculate the Margin of Error using this formula
Margin of Error= zc * SE
Let plug in the formula
Margin of Error = 1.96 * 0.0142
Margin of Error = 0.0278
Therefore the Margin of Error is 0.0278
c. Based on the above calculation for both (a) and (b) the MARGIN OF ERROR are NOT the same reason been that (a) Margin of Error is 0.0272 while (b) Margin of Error is 0.0278 which simply shows that the proportion in parts (a) and are different.
can somebody help me?
Answer:
D
Step-by-step explanation:
What the value of x? Round to the nearest tenths place
Answer:
2.7084
Step-by-step expla
loan or 6075450 from a bank and collected 9037680 as donation. How much is
the society atill short or
18. A man had 10072540 with him. He gave 4836080 to his wife, #3964790 to his son and
the rest to his daughter, How much money was received by the daughter?
10. The cost of a
Answer:
His daughter received $ 1,271,760.
Step-by-step explanation:
Given that a man had $ 10,072,540 with him, and he gave $ 4,836,080 to his wife, $ 3,964,790 to his son and the rest to his daughter, to determine how much money was received by the daughter, the following calculation must be performed:
10,072,540 - 4,836,080 - 3,964,790 = X
5,236,460 - 3,964,790 = X
1,271,670 = X
Thus, his daughter received $ 1,271,760.
n + 9 = 14 solve isolate the variable
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
n + 9 = 14
=> n + 9 - 9 = 14 - 9. [For isolating the variable we subtract 9 from both sides]
=> n = 5 (Ans) [ Variable isolated]
find the value of x if log3 625=x
Given:
The equation is
[tex]\log_3625=x[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\log_3625=x[/tex]
It can be written as
[tex]\log_3(5)^4=x[/tex]
[tex]4\log_3(5)=x[/tex] [tex][\because \log x^n=n\log x][/tex]
[tex]4\dfrac{\log (5)}{\log (3)}=x[/tex] [tex][\because \log_ab=\dfrac{\log_xb}{\log_xa}][/tex]
[tex]4\times \dfrac{0.69897}{0.47712}=x[/tex]
[tex]x\approx 5.8599[/tex]
Therefore, the value of x is about 5.8599.