A successful basketball player has a height of 6 feet 4 inches, or 193 cm. Based on statistics from a data set, his height converts to the z score of 2.66. How many standard deviations is his height above the mean?
Answers
Answer: 2.66 standard deviations above the mean
Explanation:
The z score directly determines how far we are from the mean. For positive z values, we are above the mean, while negative z values are below the mean.
The mean itself is z = 0
The absolute value of the z score is the distance from the score to 0. So having a z score of z = 2.66 means we are 2.66 standard deviations above the mean. Something like z = -2 means we are 2 standard deviations below the mean.
Related Questions
I am thinking of a number if you add two to the number then double it, you get ten. what is the number?
Answers
Answer:
Difficulties regarding the emotions of your body.
Step-by-step explanation:
Difficulties regarding the emotions of your body.
Answer:
3
Step-by-step explanation:
Do this backwards.
10 ÷ 2 = 5
5 - 2 = 3
Extra: In order to solve questions like these, you might want to change it in the opposite way. For example, if they add a number , you subtract that number in your working.
Calculate the amount in an account after one year that starts
with the principal listed below and pays the specified annual
rate of interest compounded yearly.
Principal = $18,000, Rate = 3%
Answers
9514 1404 393
Answer:
$18,540
Step-by-step explanation:
When interest is compounded yearly, the amount of interest earned in one year is the same as the amount of simple interest earned. The account balance is ...
A = P(1 +r) = $18,000(1 +.03) = $18,540
Which inequality is graphed below
Answers
Answer:
wheres it at?
Step-by-step explanation:
#Everything4Zalo
Find each difference.
(−5)−6=
35−(−8)=
5/2- 5/3 =
−4 8/3−(−1 4/1 )=
Answers
Answer:
(-5)-6=-11
35-(-8)=43
5/2-5/3=5/6
-4 3/8-(-1 1/4)=5 5/8
Step-by-step explanation:
According to an NRF survey conducted by BIGresearch, the average family spends about $237 on electronics (computers, cell phones, etc.) in back-to-college spending per student. Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54. If a family of a returning college student is randomly selected, what is the probability that: (a) They spend less than $150 on back-to-college electronics? (b) They spend more than $390 on back-to-college electronics? (c) They spend between $120 and $175 on back-to-college electronics?
Answers
Answer:
(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is 0.0537.
(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is 0.0023.
(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is 0.1101.
Step-by-step explanation:
We are given that according to an NRF survey conducted by BIG research, the average family spends about $237 on electronics in back-to-college spending per student.
Suppose back-to-college family spending on electronics is normally distributed with a standard deviation of $54.
Let X = back-to-college family spending on electronics
SO, X ~ Normal(\(\mu=237,\sigma^{2} =54^{2}\))
The z score probability distribution for normal distribution is given by;
Z = \(\frac{X-\mu}{\sigma}\) ~ N(0,1)
where, \(\mu\) = population mean family spending = $237
\(\sigma\) = standard deviation = $54
(a) Probability that a family of a returning college student spend less than $150 on back-to-college electronics is = P(X < $150)
P(X < $150) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{150-237}{54}\) ) = P(Z < -1.61) = 1 - P(Z \(\leq\) 1.61)
= 1 - 0.9463 = 0.0537
The above probability is calculated by looking at the value of x = 1.61 in the z table which has an area of 0.9463.
(b) Probability that a family of a returning college student spend more than $390 on back-to-college electronics is = P(X > $390)
P(X > $390) = P( \(\frac{X-\mu}{\sigma}\) > \(\frac{390-237}{54}\) ) = P(Z > 2.83) = 1 - P(Z \(\leq\) 2.83)
= 1 - 0.9977 = 0.0023
The above probability is calculated by looking at the value of x = 2.83 in the z table which has an area of 0.9977.
(c) Probability that a family of a returning college student spend between $120 and $175 on back-to-college electronics is given by = P($120 < X < $175)
P($120 < X < $175) = P(X < $175) - P(X \(\leq\) $120)
P(X < $175) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{175-237}{54}\) ) = P(Z < -1.15) = 1 - P(Z \(\leq\) 1.15)
= 1 - 0.8749 = 0.1251
P(X < $120) = P( \(\frac{X-\mu}{\sigma}\) < \(\frac{120-237}{54}\) ) = P(Z < -2.17) = 1 - P(Z \(\leq\) 2.17)
= 1 - 0.9850 = 0.015
The above probability is calculated by looking at the value of x = 1.15 and x = 2.17 in the z table which has an area of 0.8749 and 0.9850 respectively.
Therefore, P($120 < X < $175) = 0.1251 - 0.015 = 0.1101
A hot air balloon is currently 100 feet above ground. After 5 minutes, the hot air balloon is 40 feet above ground. Write an equation
Answers
Answer:
100 + 5f = 40
5f = -60
f = -12 feet per minute (decrease of 12 feet per minute)
help lol -30=5(x+1) x= ?
Answers
1.Distribute
-30=5(x+1). x
\(-30=5x^{2}+5x\)
2. Move terms to the left side
\(-30=5x^{2} +5x\)
\(-30-(5x^{2} +5x)=0\)
3. Rearrange terms
\(-30-5x^{2} -5x=0\)
\(-5x^{2} -5x-30=0\)
Hope this helps! Sorry if I'm wrong
\(\huge\text{Hey there!}\)
\(\large\text{ORIGINAL EQUATION}\downarrow\)
\(\large\textsf{ -30 = 5(x + 1)}\)
\(\large\text{TURN the EQUATION}\)
\(\large\textsf{5(x + 1) = -30}\)
\(\large\text{DISTRIBUTE \textsf{5} WITHIN the PARENTHESES}\)
\(\large\textsf{5(x) + 5(1) = -30}\)
\(\large\textsf{5(x) = \bf 5x}\\\large\textsf{5(1) = 5}\)
\(\rightarrow\large\textsf{5x + 5 = -30}\)
\(\large\text{NEW EQUATION: \textsf{5x + 5 = -30}}\)
\(\large\text{SUBTRACT \textsf{5} to BOTH SIDES}\)
\(\large\textsf{5x + 5 - 5 = -30 - 5}\)
\(\large\text{CANCEL out: \textsf{5 - 5} because that gives you \textsf{0}}\)
\(\large\text{KEEP: \textsf{-30 - 5} because that helps you solve for your \textsf{x-value}}\)
\(\large\textsf{-30 - 5 = \bf -35}\)
\(\large\text{NEW EQUATION: \textsf{5x = -35}}\)
\(\large\text{DIVIDE \textsf{5} to BOTH SIDES}\)
\(\mathsf{\dfrac{5x}{5}= \dfrac{-35}{5}}\)
\(\large\text{CANCEL out: }\mathsf{\dfrac{5x}{5}}\large\text{ because that gives you the value of \textsf{1}}\)
\(\large\text{KEEP: }\mathsf{\dfrac{-35}{5}}\large\text{ gives you the \textsf{x-value}}\)
\(\large\textsf{x = }\mathsf{\dfrac{-35}{5}}\)
\(\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR x-value}\)
\(\boxed{\boxed{\large\textsf{ANSWER: \huge \bf x = -7}}}\huge\checkmark\)
\(\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
15=1.5t
Solve the equation for the variable. Remember to write t= when you write your answer!
Answers
Answer:
t = 10
Step-by-step explanation:
15 = 1.5 × t
15/1.5 = t
10 = t
mark me as brainlistHELP PLEASE!!!
In a recent year, 26% of all college students were enrolled part-time. If 4.4 million college students were enrolled part-time that year, what was the total number of college students? Round your answer to the nearest million.
Answers
Answer: 17 million
Step-by-step explanation:
We will set up a proportion to solve. We also will divide 26% by 100 to get a decimal, 0.26. We know that 26% of college students was 4.4 million, but we want to find 100%.
\(\displaystyle \frac{0.26}{4.4\text{ million}} =\frac{1}{x\text{ million}}\)
Now, we will cross-multiply.
0.26 * x = 1 * 4.4
0.26x = 4.4
Lastly, we will divide both sides of the equation by 0.26. Then, we will round to the nearest million.
x = 16.923
x ≈ 17 million
Coordinate grid shows from -2 to positive two on x-axis and -2 to positive two on y-axis. There are increments I have one over four for each grid line on each of the two axes. Only the whole numbers are labeled on either side of the axis. A point A is shown at the intersection of 5 grid lines to the right of the y-axis and 3 grid lines below the x-axis. What are the coordinates of point A?
Answers
The coordinates of point A are ( 5/4, -3/4)
What are coordinates?
A pair of numbers that use the separations between the two reference axes to define the location of a point on a coordinate plane. usually represented by the x- and y-values, respectively, (x, y).
The position of a point or a shape in a given space is determined by coordinates, which are numbers (a map or a graph ).
x - coordinate = 5 grid lines to the right of the y-axis
y - coordinate = 3 grid lines below the x-axis.
The point A is in the 4th quadrant
(x,y) = ( + 5 grid lines, -3 grid lines )
There are increments I have one over four for each grid line on each of the two axes
This means,
(x,y) = ( + 5 * 1/4, -3*1/4 ) = ( 5/4, -3/4)
So, the coordinates of point A are ( 5/4, -3/4)
To learn more about the coordinates from the given link
https://brainly.com/question/17206319
#SPJ1
BRAINLIEST!!!
2w+8=16
what is the answer please help me its confusing
Answers
Answer: w = 4
Step-by-step explanation
w=4 since 2(4) + 8 = 8+8=16.
you could also do 2w+8= 16
subtract 8 from both sides so you get
2w=8
then divide by 2
w=4
Leo sold candy bars for a fundraiser. He spent $25 on a box of candy bars and sold them for $2 each. His profit (after earning back the $25) was $69, so he used the equation $2c−$25=$69 to find out how many candy bars he sold.
When he solves the equation, he gets c=47.
Answers
Answer:
c=47
Step-by-step explanation:
Mack is selling beaded necklaces and beaded wristbands at the Craft Market.
A necklace requires 40 minutes to make.
A wristband requires 25 minutes to make.
Mack has 360 minutes to make the necklaces and wristbands.
.
●
.
Additionally,
Mack wants to make no more than 12 items.
When Mack sells the necklaces and wristbands at the Craft Market, he will make $3.00 profit per necklace and
$2.00 profit per wristband.
Let x = the number of necklaces Mack makes.
.
.
Let y= the number of wristbands Mack makes.
TEXT ANSWER
Question 14
1 Points
Evaluate each vertex ordered pair in the profit function. Which vertex yields the maxi-
mum profit?
Answers
Mack should make 9 necklaces and 3.6 (rounded to 4) wristbands to maximize his profit.
We have,
The profit function is given by:
P(x,y) = 3x + 2y
The constraints are:
40x + 25y ≤ 360 (time constraint)
x + y ≤ 12 (item constraint)
x, y ≥ 0 (non-negative constraint)
To find the vertices, we need to solve the system of equations for each pair of intersecting lines. The vertices are the points where the lines intersect.
40x + 25y = 360
x + y = 12
Solving this system of equations, we get:
x = 6, y = 6 (vertex 1)
x = 9, y = 3.6 (vertex 2)
x = 0, y = 12 (vertex 3)
Now, we evaluate each vertex in the profit function:
P(6,6) = 3(6) + 2(6) = 24
P(9,3.6) = 3(9) + 2(3.6) = 30.6
P(0,12) = 3(0) + 2(12) = 24
Now,
Vertex 2 yields a maximum profit of $30.60.
Therefore,
Mack should make 9 necklaces and 3.6 (rounded to 4) wristbands to maximize his profit.
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ1
Mike has decided that it is time he put his money to work. He has accumulated a substantial nest egg in a savings account at a local bank, but he realizes that, earning less than three percent interest, he will never reach his financial goals. After doing some research, he withdraws the money, opens an account at a local brokerage firm, and buys 500 shares of a large manufacturing company and 600 shares of a well-known retail store. From the beginning, his broker5 emphasizes that his portfolio is not sufficiently diversified with just two stocks. Over time, the broker convinces Mike to sell these two stocks to purchase stock in other companies. Two years later, Mike owns stock in 14 different companies and views his portfolio as well diversified. His cousin Ed, who has recently graduated from business school, looks at his portfolio and comments, “You are not very well diversified, as 10 of the stocks you own are considered technology stocks.” Mike tells Ed that he followed his broker’s recommendations and sold his original stocks to purchase the new stocks in order to attain a diversified portfolio. Ed comments that Mike’s brokerage firm is noted as a specialist in technology stocks. Mike is disappointed because he thought he was getting good advice about building a well-diversified portfolio. After all, Mike followed his broker’s advice to the letter, and why would his broker give him bad advice? 1. Comment on the broker’s ethics in recommending the sale of the original stocks to purchase a portfolio weighted so heavily toward technology stocks. Include in your discussion reasons why the broker may have followed the course of action that he did. 2. To achieve diversification, what other course of action could Mike have taken that would not have involved buying individual stocks in a variety of companies?
Answers
2. To achieve diversification without buying individual stocks in a variety of companies, Mike could have considered investing in mutual funds or exchange-traded funds (ETFs) that provide exposure to a broad range of stocks across multiple sectors and industries. These investment vehicles offer instant diversification and can be tailored to meet a client's specific investment objectives and risk tolerance. By investing in mutual funds or ETFs, Mike could have avoided the risks associated with holding a concentrated portfolio of individual stocks and achieved a well-diversified portfolio with less effort and expertise.
The swimming pool at Spring Valley High School is a rectangle with a width of 70 meters and a length of 30 meters. Around the perimeter of the pool is a tiled floor that extends w meters from the pool on all sides. Find an expression for the area of the tiled floor.
Answers
The expression that can be used to find the area of the tiled floor is 4w² + 200w
Area of rectangleOriginal rectangle:Length = 70 Meters
Width = 30 meters
Area = length × width
= 70 × 30
= 2100
New rectangle(including tiled floor):Length = 70 + 2w meters
Width = 30 + 2w meters
Area = length × width
= (70+2w) (30+2w)
= 2100 + 140w + 60w + 4w²
= 4w² + 200w + 2100
Area of the tiled floor = Area of new rectangle - area of old rectangle
= (4w² + 200w + 2100) - 2100
= 4w² + 200w + 2100 - 2100
= 4w² + 200w
Learn more about area of rectangle:
https://brainly.com/question/13048427
#SPJ1
Lenny buys a popcorn and soda at the movies. A large popcorn is $7 and the drink is $3.50. Lenny has to also pay tax of 6%. How much will he pay in total?
Answers
Answer:
i think its 10.71 i dont know if i got it right your welcome
Step-by-step explanation:
Answer:
$10.71
Step-by-step explanation:
What is the slope of the line on the
graph?
Answers
\(\\ \sf\longmapsto Slope=m=\dfrac{2-4}{6-0}\)
\(\\ \sf\longmapsto m=\dfrac{-2}{6}\)
\(\\ \sf\longmapsto m=\dfrac{-1}{3}\)
Answer:
Hakdoooogogogog 74uhshd
Side and angle properties of a parallelogram level 2. Find x, y, and z. NO LINKS!!!
Part 2
Answers
Answer:
Solution given:
x=121°[opposite angle of a parallelogram are equal]
<Z=19°
we have
y+z+121°=180°[co interior angle]
y=180-121-19
y=40°
:.x=121°,y=40°& z=19°
Answer:
x=121°y=40°z=19°Step-by-step explanation:
Here the angle A=Angle C
so,
x=121°
z=19°
so,
180=y+z+121180-121=y+1959=y+19y=59-19y=40°HELPPPPPP PLEASe!!!!!!!!
Answers
Answer:
Cos x
Step-by-step explanation:
Samantha has 5 granola bars. She wants to give 1/3 of a granola bar to each friend. Which expression can she use to find the number of friends to whom she can give granola bars?
Answers
Answer:
5/(1/3)
Step-by-step explanation:
She has 5 granola bars and gives 1/3 of one to each of her friends. To find how many friends she can give it to, divide 5 by 1/3. You would get a total of 15 friends that you can give granola bars to. The question is asking for an expression so the expression would be 5/(1/3) or 5*3
Answer:
1/3 x = 5
x=15
Step-by-step explanation:
You’re multiplying 1/3 times the number of friends (x), and then multiplying both sides by the reciprocal to solve for x
4. Renuka's teacher asks her to factorise completely 8x²-12x. Renuka wrote 2x (4x-6) as her answer Explain why she does not score full marks and give the correct answer.
Answers
The answer should be 4x(2x-3) so Renuka does not score full marks.
What is Number system?A number system is defined as a system of writing to express numbers.
The given expression is 8x²-12x.
To factorise this we have to find the highest common factors from both the terms.
Factors of 8 are 1, 2, 4, 8
Factors of 12 are 1, 2, 3, 4, 6,12
The highest common factor is 4.
So we have to take common 4 but Renuka has taken out 2.
So she does not got full marks.
The answer should be 4x(2x-3)
Hence, the answer should be 4x(2x-3) so Renuka does not score full marks.
To learn more on Number system click:
https://brainly.com/question/22046046
#SPJ1
Find (gºf)(3)
f(x) = 3x - 2
g(x)= x^2
a. 1
b.-8
C. 49
d. 52
Answers
Answer:
the answer is C
Step-by-step explanation:
(g.f)(3)
g(f(3))=g(7)=49
A student is taking an exam with 40 questions on it.To pass the exam she needs to answer 70% of the questions correctly. Unfortunately she answered only 40% of the 15 questions correctly. What percent of the remaining 25 questions does she have to answer correctly to pass the exam?
Answers
The first step is to find out how question in total she is able to miss, while still passing.
We know that there are \(40\\\) questions on the test and she must get \(70\)% of the questions correct.
Let's calculate how many questions that is:
40 x 0.70
= 28.
Subtract
40 - 28
= 12.
She is able to get 12 answers incorrect.
Now we must find out how many questions she got wrong when she got 40% of the first 15 correct.
If she got 40% correct; She got 60% incorrect.
Let's do the math:
Multiply:
15 x 0.40
= 6
Subtract:
15 - 6
= 9
This means that she got 6 questions correct, and 9 questions incorrect.
With the total allotment of 12 incorrect answers allowed, she can only get 3 more questions wrong.
Now we must find the percentage of the remaining 25 questions she can get wrong.
She can only get 3 wrong and she must get 22 correct.
Multiply:
22 x 4
= 88.
This means that she has to get 88% of the remaining 25 questions correct.
the price for each ticket is 7.99 one person thinks the total for all eight people will be around 50.00 is this a reasonable estimate. why?
Answers
Answer:
No
Step-by-step explanation:
no because just muiltiplying 7.00 * 8 is 56 not inculuding the 99 cents it is already over 50. The answer is 63.92 so a reasonable estimate would be around $60
Multiply and reduce to lowest terms. Convert into a mixed number if necessary.
Answer correctly you get brainliest.
Answers
Answer:
Step-by-step explanation:
44/8
= 5 whole 4 by 8
= 5 4/8
Answer:
5/2 = 2.5
Step-by-step explanation:
make x subject
u= cos 0.5x
Answers
By making x the subject of the formula in this equation u = cos(0.5x) gives x = 2cos⁻¹(u).
How to make x the subject of the formula?In Mathematics and Geometry, an equation can be defined as a mathematical expression which shows that two (2) or more thing are equal. This ultimately implies that, an equation is composed of two (2) expressions that are connected by an equal sign.
In this exercise, you are required to make "x" the subject of the formula in the given mathematical equation by using the following steps.
By taking the arc cosine of both sides of the equation, we have the following:
u = cos(0.5x)
cos⁻¹(u) = 0.5x
By multiplying both sides of the mathematical equation by 2, we have the following:
2 × cos⁻¹(u) = 0.5x × 2
x = 2cos⁻¹(u)
Read more on expression here: brainly.com/question/25767785
#SPJ1
-3x^2+33=48x complete the square
Answers
The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75
Completing the square:
To do this, we add and subtract a constant term to the quadratic expression to make it a perfect square.
In this case, we use the formula x² + 2bx + b² = (x + b)² to rewrite the quadratic expression as a perfect square trinomial, and then we solved for the variable by isolating the squared term and taking the square root.
Here we have
- 3x² + 33 = 48x
Keep 'x' terms on one side and constant terms sides on another side
=> - 3x² - 48x = - 33
Divide by - 3 on both sides
=> -3(x² + 4x)/3 = - 33/3
=> x² + 16x = 11
Take half of the 'x' term and square it and add on both sides
=> x² + 2(8x) (x) + (8)² = 11 + (8)²
Which is in the form of x² + 2bx + b² = (x + b)²
=> [x + 8]² = 75
Therefore,
The complete square form of - 3x² + 33 = 48x is [x + 8]² = 75
Learn more about Completing the square at
https://brainly.com/question/14270950
#SPJ1
An AP has first term as 3 and Common difference of 2 how many terms are needed to make the sum to 99
Answers
Answer:
9
Step-by-step explanation:
The \(n\)term is \(2n+1\).
\(S_n=\frac{3+2n+1}{2}(n)=99 \\ \\ \frac{n(2n+4)}{2}=99 \\ \\ n(n+2)=99 \\ \\ n^2+2n-99=0 \\ \\ (n+11)(n-9)=0 \\ \\ n=9 \text{ } (n>0)\)
The number of terms that needed to make the sum to 99 is 9
The first term of the arithmetic progression = 3
The common difference = 2
The sum of n term is = (n/2) [2a+(n-1)d]
Where a is the initial term
d is the common difference
Substitute the values in the equation
(n/2) [2(3)+(n-1)2] = 99
(n/2) [6 + 2n - 2] = 99
(n/2)[4+2n] = 99
n(2 + n) = 99
2n + \(n^2\) = 99
\(n^2\) + 2n - 99 = 0
Split the terms
\(n^2\) - 9n +11n - 99 =0
n(n -9) + 11(n - 9) = 0
(n + 11)(n - 9) = 0
n = -11 or 9
Since n cannot be a negative number, therefore n = 9
Hence, the number of terms that needed to make the sum to 99 is 9
Learn more about sum of n terms here
brainly.com/question/11688485
#SPJ1
The population of Detroit, Michigan, decreased from 1,027,974 in 1990 to 688,701 in 2013 (Source: U.S. Census Bureau). Find the average rate of change in the population of Detroit, Michigan, over the 23-year period.
Answers
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, so let's use the ones provided in that
\(\begin{array}{|cc|ll} \cline{1-2} \stackrel{years}{x}&\stackrel{population}{y}\\ \cline{1-2} 1990&1027974\\ 2013&688701\\ \cline{1-2} \end{array}\hspace{5em} (\stackrel{x_1}{1990}~,~\stackrel{y_1}{1027974})\qquad (\stackrel{x_2}{2013}~,~\stackrel{y_2}{688701}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{688701}-\stackrel{y1}{1027974}}}{\underset{run} {\underset{x_2}{2013}-\underset{x_1}{1990}}} \implies \cfrac{-339273}{23}\implies -14751\qquad \stackrel{rate~of}{change}\)
let's notice, is negative since the population decreased.
6x + 8 = 62 slove for x
Answers
Answer:
4.428571429
Step-by-step explanation:
You have to do 8+6 then 62 divided by 14 and then thats what your x equals.
Answer:
x=9
Step-by-step explanation:
start with
6x+8=62
subtract 8 from each side
6x=54
divide each side by 6
x=9