Step-by-step explanation:
sorry I don't know the answer I want some points so because I do this I really really sorry. and thanks for point
A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6. It is safe to assume that the underlying distribution is normal. In an attempt to increase the number of weekday customers, the manager offers a $2 discount on 5 consecutive weekdays. She reports that her strategy has worked since the sample mean of customers during this 5 weekday period jumps to 35.
Required:
What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?
Answer:
0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set 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]
The Z-score 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. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
A small hair salon in Denver, Colorado, averages about 30 customers on weekdays with a standard deviation of 6.
This means that [tex]\mu = 30, \sigma = 6[/tex]
5 consecutive weekdays.
This means that [tex]n = 5, s = \frac{6}{\sqrt{5}} = 2.6832[/tex]
What is the probability to get a sample average of 35 or more customers if the manager had not offered the discount?
This is 1 subtracted by the pvalue of Z when X = 35.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{35 - 30}{2.6832}[/tex]
[tex]Z = 1.86[/tex]
[tex]Z = 1.86[/tex] has a pvalue of 0.9686
1 - 0.9686 = 0.0314
0.0314 = 3.14% probability to get a sample average of 35 or more customers if the manager had not offered the discount
Simplify the following expression. x(x - 3) - 4(x2 + 7)
Answer:
[tex]x^{2} -11x-28[/tex]
Step-by-step explanation:
We start of with this.
[tex]x(x-3)-4(2x+7)[/tex]
First, use the distributive property, and distribute the x to the (x-3) to get: [tex]x^{2} -3x-4(2x+7)[/tex]
Next, distribute the -4 to the (2x+7) to then get:
[tex]x^{2} -3x-8x-28[/tex]
Then, combine like terms. In this case, combine -3x and -8x since they are alike and get:
[tex]x^{2} -11x-28[/tex]
The answer is already in standard form, so we're done. To write a polynomial in standard form, write the monomial with the variable, with the largest exponent first. In this case, [tex]x^{2}[/tex] goes before [tex]-11x[/tex] because of the exponent of 2. Monomials without a variable go last, so that's why -28 is last.
Education reform is one of the most hotly debated subjects on both state and national policymakers’ list of socioeconomic topics. Consider a linear regression model that relates school expenditures and family background to student performance in Massachusetts using 224 school districts. The response variable is the mean score on the MCAS (Massachusetts Comprehensive Assessment System) exam given to 10th graders. Four predictor variables are used: (1) STR is the student-to-teacher ratio in %, (2) TSAL is the average teacher’s salary in $1,000s, (3) INC is the median household income in $1,000s, and (4) SGL is the percentage of single-parent households. A portion of the data is shown in the accompanying table.
Score STR(%) TSAL(in $1000) INC(in $1000) SGL(%)
227.0 19.00 44.01 48.89 4.70
230.67 17.90 40.17 43.91 4.60
. . . . .
. . . . .
230.67 19.20 44.79 47.64 5.10
Required:
a. For each explanatory variable, discuss whether it is likely to have a positive or negative causal effect on Score.
b. Find the sample regression equation. Are the signs of the slope coefficients as expected?
c. What is the predicted score if STR = 18, TSAL = 50, INC = 60, SGL = 5?
d. What is the predicted score if everything else is the same as in part(c) except INC = 80?
Answer:
A:
STR= -
TSAL= +
INC=+
SGL=-
B:
231.89 - .50 - .02 + .29 -.88
B2:
STR=Y
TSAL=N
INC=Y
SGL=Y
C:
234.89
D:
240.69
Step-by-step explanation:
Find the lengths of the legs.
Answer:
opposite = 5√2
adjacent 5√2
Step-by-step explanation:
the opposite leg can be determined using
Sin = opposite / hypotenuse
√2 / 2= opposite / 10
opposite = 5√2
the adjacent leg can be determined using
cos = adjacent / hypotenuse
√2 / 2= adjacent / 10
adjacent = 5√2
Please please help!!!!!!!!
A number cube labeled one though six is rolled and a letter is selected from the word MUSIC. Find each probability.
P(2 and S)
a. 1/6
b. 1/5
c. 1/30
d. 1/11
HELP
Answer:
1/30
Step-by-step explanation:
What is the gradient?
Answer:
Gradient = 2
Step-by-step explanation:
Gradient of a line = Slope of the line
Since, slope of a line passing through two points [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
Slope = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Given line in the graph passes through two points (1, 0) and (2, 2)
Therefore, slope or gradient of the line = [tex]\frac{2-0}{2-1}[/tex]
= 2
Gradient = 2 will be the answer.
what is the arc length of s in the figure below
Answer:
2.18ft
Step-by-step explanation:
what is the arc length of s in the figure below
Length of the arc = theta/360 * 2πr
r is the radius = 1ft
theta = 125 degrees
Substitute into the formula
Length of the arc = 125/360 * 2(3.14)* 1
Length of the arc = 785/360
Length of the arc = 2.18ft
Hence the length of the arc is 2.18ft
Find: AABCD in square unit.
Answer:
in triangle ACD
<D =<B=90° inscribed angle from the diameter is 90°
base AC=2×OA=2×15=30unit
perpendicular =CD=12unit
area of triangle ACD
=1/2 base×perpendicular=1/2×30×12=180unit²
In triangle ABC
base=AC=30 unit
perpendicular=BC=18unit
area of traingle ABC =
1/2 base×perpendicular=1/2×30×18=270unit²
Area of quadrilateral =area of traingle [ABC+ACD]
=180+270=450 square unit ans..
What is the percent of change from 0.36 to 1.19?
Answer:
230.56%
Step-by-step explanation:
maybe
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
You ask the students in class two questions. Which question is statistical and which is non-statistical? Explain.
What time does the first period begin?
What time do you leave home to go to school?
Answer:
the first is non-statistical and the second one is statistical
Step-by-step explanation:
when it is statistical it is asking in general (like a yes or no question) and when it's non-statistical it is asking something specific.
Sam is designing an open wooden box in the shape of a rectangular prism. The base of the box will be 6 feet by 8 feet. He has not yet decided what the height will be.
Answer:
10ft
Step-by-step explanation:
Let assume the volume of the box be 480ft^3
Required
height h
Volume of the box = length * width * height
Substitute
480 = 8 * 6 * h
480 = 48 * h
h = 480/48
h = 10ft
Hence the height of the box if the volume of 480ft^3 is 10ft
My teacher asked me 7 x 1/5 of 19, and I got immediately stumped. My brain is mush today.
Answer:
No lol that seems very confusing but was it 26.6?
Answer: 26.6
Step-by-step explanation:
7 times 1/5= 7/5
7/5 times 19= 26.6
I hope ti helps and may God bless you! have a nice day, bye!
what is the answer to this?
Answer:
i can only say that you should use this forumla, the sins law
sin(a)/A = sin(b)/B = sin(c)/C
Step-by-step explanation:
1. a. The equation of a straight line is 2y = 3x +4,
Find the gradient of this line,
Answer:
3/2
Step-by-step explanation:
2y = 3x + 4
y = (3/2)x + 2
^ ^ ^ ^
y = m x + c
m = 3/2
Which trigonometric function is an odd function and why?
Answer:
Last one D.
Step-by-step explanation:
Just remember x, f(–x) = –f(x).
Ina class of 44 pupil 3/4 are girls . How many girls would be there altogether.
Answer:
33 girls
Step-by-step explanation:
This is the answer because:
1) 3/4 of 44 is 33 because 1/2 of 44 is 11
a) 11 x 3 = 33
Hope this helps! :)
Answer:
33 girls
Step-by-step explanation:
44/4= 11
11x3=33
plz mark me as brainliest.
Marcus has a bag of 10
red chips, 15 blue chips,
and 5 black chips. How
many times would he
expect to pick a red chip if
he did the experiment 60
times?
A) 10
B) 20
C) 30
D) 45
PLEASE HELP THIS IS DUE TODAY
Answer:
B
Step-by-step explanation:
Marcus can expect to have red chip 20 times.
What is probability?Probability denotes the possibility of the outcome of any random event. The meaning of this term is to check the extent to which any event is likely to happen.
Given that, Marcus has a bag of 10 red chips, 15 blue chips, and 5 black chips.
He did an experiment 60 times and we need to find that how many times would he expect to pick a red chip,
So,
Here the favorable outcomes = red chips (10)
Total outcomes = all the chips = 15+5+10 = 20
So, the probability of finding a red chips for the 60 times = 10/20 x 60
= 30
Hence, Marcus can expect to have red chip 20 times.
Learn more about probability, click;
https://brainly.com/question/30034780
#SPJ2
what is the greatest common factor GCF of 30,66. 84
Answer:
6
Step-by-step explanation:
Factorize of the above numbers :
30 = 2 • 3 • 5
66 = 2 • 3 • 11
84 = 22 • 3 • 7
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
30 Number
66 Number
84 G.C.F
(min)
2 1 1 2 1
3 1 1 1 1
5 1 0 0 0
7 0 0 1 0
11 0 1 0 0
GCF = 2 • 3
Greatest Common Factor is :
6
how do you solve 6 1/2 x 16?
Answer:
Step-by-step explanation:
Make 6 1/2 an irrational fraction: 13/2 (I dunno know if its called that )
divide 16 by 2: 8
multiply that by 13: 104
Tell me if this helps or not bc I'm not really sure, but I really hope I helped!
Put some air in your tires: Let X represent the number of tires with low air pressure on a randomly chosen car. The probability distribution of X is as follows.
x 0 1 2 3 4
Px 0.2 0.1 0.4 0.2 0.1
Compute the standard deviation σX. Round the answer to at least three decimal places.
Step-by-step explanation:
sorry po hindi ko po alam sagot
4. Find the greatest number which divides 171 and 251 leaving the remainders
3 and 6 respectively.
Answer:
The answer is 7.
help please ............
What is the area of the triangle?
Answer:
120
Step-by-step explanation:
since its a right-angled triangle you will use the formula:1/2 of the base × height
Answer:
[tex]120^{2}[/tex]
Step-by-step explanation:
Heron's formula
(for every triangle, you can use this same formula. just change the value of the letters)
a = 26
b = 10
c = 24
s = area
S = [tex]\sqrt{s(s - a)(s - b)(s - c)}[/tex]
S = [tex]\frac{(a+b+c)}{2}[/tex]
The retail price of a television set is $2500. If the buyer pays cash, the price is 10% below the retail price. If the set is bought on hire purchase, the buyer pays a downpayment of $500 and 18 monthly installments of $150.
A) Determine the difference between the hire purchase price and the cash price.
B) Calculate the difference as a percentage of the retail price.
Answer:
cash price:
10% = 250
2500 - 250 = $2,250
hire purchase:
2500 + 500 + 150(18) = $5,700
a) 5,700 - 2,250 = $3,450
PLEASE PLEASE HELP ILL MARK U AS BRAINLIST I NEED HELP ASAP !
Answer:
4.24 is the answer
ASAP Point A, located at (-3, -3) is translated 6 units up, resulting in the location of point A'. What other transformation would result in the same location for point A'? A reflection in the x-axis A translation of 6 units to the left A reflection in the y-axis A rotation of 180°
~I KNOW ITS NOT A REFLECTION IN THE Y-AXIS
Answer:
(3,3)
Step-by-step explanation:
A reflection of this across the y-axis is (-3,3). A reflection of Point A, (-3,-3), over the x-axis is also (-3,3).
Could someone help me figure this out??
Answer:
180
Step-by-step explanation:
Find the area of the shaded region.
Answer:
60.5m^2
Step-by-step explanation:
the area of the square
=11m×11m
=121m^2
the area of triangle
=11m×11m÷2
=121m^2÷2
=60.5m^2
the area of the shaded region
=121m^2-60.5m^2
=60.5m^2
the answer is not very sure,
if it is wrong, i am sorry for it.
Hurry, geometry math 7th grade
You need to find the area of the hexagon, and the area of the triangle.
The formula for the area of a triangle is
[tex]a = \frac{bh}{2} [/tex]
I hope this helps you a little.
Answer:
93.5 units^2
Step-by-step explanation:
a^2+b^2=c^2
a=3
b=?
c=6
b=√6^2-3^2
b=3√3=5.196
5.196×3=15.5884
15.5884×6