Using z-scores, it is found that the correct option is:
c. Candace is relatively taller because she has a larger Z-score.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.For the z-score of Lebron's height, we have that: [tex]X = 81, \mu = 78, \sigma = 2.7[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{81 - 78}{2.7}[/tex]
[tex]Z = 1.11[/tex]
For the z-score of Candace's height, we have that: [tex]X = 76, \mu = 69, \sigma = 3.2[/tex], hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{76 - 69}{3.2}[/tex]
[tex]Z = 2.19[/tex]
Due to the higher z-score, Candace is relatively taller, hence option c is correct.
A similar problem is given at https://brainly.com/question/12982818
A filing cabinet measures 5 feet high 18 inches wide and 2 feet deep. what is the volume of the filing cabinet?
Explanation:
18 inches = 18/12 = 1.5 feet
The cabinet is 5 ft by 1.5 ft by 2 ft. Multiply the values to get 5*1.5*2 = 15
The population of a town was 5655 in 2010. The population grows at a rate of 2.6% annually.
(a) Use the exponential growth model to write an equation
that estimates the population t years after 2010.
(b) Fill in the following table for each value of . Show your work. You may use a calculator to
calculate the final answer. Round your answers to the nearest whole number.
The exponential equation used to represent the population of the town is given by y = 5655(1.026)ˣ
An exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
Let y represent the population remaining after x years.
The population grow at the rate of 2.6% annually. Hence:
b = 100% + 2.6% = 1.026
There are initially 5655 people, hence a = 5655.
The equation becomes:
y = 5655(1.026)ˣ
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Michelle paid $3.00 per shirt. When she sells each shirt, she adds 150% markup to the price she paid for the shirt. What is the selling price for each shirt?
Answer:
$8.50 per shirt
Step-by-step explanation:
If the shirt was $3 originally, and they added 150% markup, 100% of 3 is 3.
so a 100% markup of a $3 shirt would be 6 dollars.
But since she marked it up 150%, you have to know 50% of $3.
50% of something is half, so
3 / 2 = 1.5
so ontop of the $3 extra, she adds $1.5, so
3 + 3 + 1.5 = 8.5
Michelle will sell the shirts for $8.50 each
niko made a small pizza using 5 ounces of chease and 3 ounces of sauce he wants to make a large pizza with 10 ounces of chease using the same ratio of cheese sauce
Answer:
Step-by-step explanation: here I am pretty sure it is 6
What is the solution to this problem
help please, i'm confused
Answer: C
Step-by-step explanation:
Answer huuhHH
Step-by-step explanation:
I need help finding the value of z!
Answer:
thus
Step-by-step explanation:
Korelasi Rank Spearman digunakan untuk mencari hubungan atau untuk menguji signifikansi hipotesis asosiatif bila masing-masing variabel yang dihubungkan berbentuk Ordinal.
write an equation of the line passing through point p that is parallel to the given line.
3. P(6,10),y=-3x+13
Answer:
Step-by-step explanation:
y=-3x+13
y = mx + b, where m is the slope and b is the y-intercept.
A line parallel to this line will have the same slope, -3. We can start by writing:
y = -3x + b
No matter what is chosen for the value of b, this line will be parallel. We do want the line to go through point (6,10), however. The way that can be done is to find a value of b that would shift the line to go through (6,10).
Find b by entering the point (6,10) into the equation, and then solve for b:
y = -3x + b
10 = -3(6) + b
10 = -18 + b
b = 28
The line becomes y = 3x + 28
See the attachment.
Consider the following function. f(x)= 4x+7 Place the steps for finding f -1(x) in the correct order.
Answer:
To find an inverse, you need to replace f(x) with y. Then switch the x and y's in your equation and solve for y. This will find f^-1(x).
Step-by-step explanation:
please help!!!!
check for understanding:
PLEASE HELP!! ASAP THANKS
Which expression has a coefficient of 4?
A
(2^x)+4
B
4(2^x)+1
C
2(x^4)+1
D
2(4^x)+1
Answer:
Option D
Step-by-step explanation:
[tex]\\ \sf\longmapsto 2(4^x)[/tex]
You have to first find 4^x and then multiply it with two .Not like this
[tex]\\ \sf\longmapsto 2(4^x)=8^x [/tex](×)
Hence the variable has coefficient 4 as 4^x is multiplied.
WILL GIVE BRAINLIEST
Answer:
answer choice is B
Step-by-step explanation:
Use mathaway and scan the problem
ayden evaluated the expression a ÷ (2 + 1.5) for a = 14. He said that the value of the expression was 8.5. Select all the statements that are true.
Jayden's solution is incorrect.
Jayden added inside the parentheses before dividing.
Jayden substituted the wrong value for a.
Jayden divided 14 by 2 and then added 1.5.
Jayden added inside the parentheses before multiplying.
Answer:
Jayden's solution is incorrect.
Jayden divided 14 by 2 and then added 1.5
Jayden substituted the wrong value for a.
A graph of y=f(x) is given. No formula for f is given. Find the graph of g(x)=f(-1/2x).
Answer:
B
Step-by-step explanation:
To do this, we'll need to understand the skeleton form of transformations and what each variable represents in the equation. We have y = a(x-h) + k, where a represents vertical scaling, h the horizontal shift, and k the vertical shift.
So in this case, we need to reflect the graph over the y axis and horizontally scale it by a factor of 2 (i.e. stretch the graph horizontally). The answer is B.
state whether each of the following equations represent growth or decay.
Answer:
ehhh Pfouto math ni
dali raka AA yooo
5x – 1 = 7x – 4
operacion y comprobacion prfa
Answer:
x=3/2 Espero que esto te ayude
Answer:
x=3/2
hope this helps mate
Pls answer will give brainiest
Answer:
8/15
Step-by-step explanation:
1/5 + 1/3 = 3/15 + 5/15 = 8/15
Help help help math please last one be honest
Answer:
122 degrees
Step-by-step explanation:
The two intersecting lines are parallel for this problem, which means that the angle next to angle3 is the same degree measure as the one that is 58 degrees.
Also, remember that two angles next to each other on a straight line are supplementary, meaning that they add to 180 degrees.
When keeping these two things in mind, you can solve like this:
180 = angle3 + 58
180 - 58 = angle3
angle3 = 122
122 degrees
I need help with this please hurry it's timed
Answer:
60 inches
Step-by-step explanation:
26^2+54^2 = 3592
[sqrt]3592 = 59.9 --> 60inches
hehehejejwjjejejjejejwkwkwkekekejjeue
Answer: The last answer is correct.
Step-by-step explanation:
13,22,31,...
Find the 31st term.
Find the 31st term.
Answer:
The 31st term is 283
Step-by-step explanation:
The sequence has a common difference therefore, it is an arithmetic sequence
[tex]an = a1 + (n - 1)d[/tex]
a31 = 13 + ( 31-1 ) 9
a31 = 13 + 270
a31 = 283
Solve the equation logx = cosx to five decimal places by Newton Raphson method.
Answer:
OK okokokokokokokokokokokok
Select the correct answer.
Which phrase best describes the relationship indicated by the scatter plot?
a. constant Correlation
b. negative Correlation
c. Positive correlation
d. no correlation
Answer:
no correlation
Step-by-step explanation:
they arent in a line
The phrase that best describes the relationship indicated by the scatter plot is D. No correlation
What is a Scatter Plot?This refers to the use of dots to represent values for two different numeric variables.
Hence, we can see that the best description that can be used to show the relationship in the scatter plot is option D which is no correlation because they are not in a line.
Read more about scatter plots here:
https://brainly.com/question/6592115
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solve the system using substitution 4x+3y=23 x-5=0
Answer:
y=1, x=5
Step-by-step explanation:
Since x-5=0 is given already, give the x a value and switch the 5 to the other side x-5=0 ----> x=5
Now we have a value for x, so plug x into the original equation,
4(5)+3y=23,
20+3y=23
Subtract both sides by 20
20-20+3y=23-20
3y=3
dvide both sides by 3
y=1
use the value for x we got earlier
y=1, x=5
Larry wishes to invest $1500. he can invest in an investment club which pays simple interest of 8% for 3 years. what is the amount in his account after three years?
A. $1830
B. $1860
C. $5024
D. $1524
−4x−2 + 3y0 if x = 2 and y = 5
Hey there!
-4x^-2 + 3y^0
= -4(2)^-2 + 3(5)^0
= -4(1/4) + 3(5)^0
= -1 + 3(5^0)
= -1 + 3(1)
= -1 + 3
= 2
Therefore, the answer should be: 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The bill at a. Restaurant came to 136 dollars and 40 sents the paytrons decided to leave a 15 percent tip what was the total bill including the tip
Answer:
$ 156.86
Step-by-step explanation:
We have been given that the bill at a restaurant came to $136.40. The patrons decided to leave a 15% tip.
The total bill including tip would 136.40 plus 15% of136.40plus15136.40.
\text{Total bill}=\$136.40+\frac{15}{100}\times \$136.40Total bill=$136.40+10015×$136.40
\text{Total bill}=\$136.40+0.15\times \$136.40Total bill=$136.40+0.15×$136.40
\text{Total bill}=\$136.40+\$20.46Total bill=$136.40+$20.46
\text{Total bill}=\$156.86Total bill=$156.86
Therefore, the total cost of bill including tip would be $156.86.
12
The solution to the system of equations below
is (x,y).
3x+y=13
2x - 4y = 18
What is the value of x?
The product of 0.4 and a number is 8 write a mathematical expression to represent the verbal expression. Use n for the variable solve the expression
Answer:
0.4n = 8
n = 20
Step-by-step explanation:
0.4n = 8
n = 8 / 0.4
n = 20