Answer:
H1 : μ ≠ 20000
Step-by-step explanation:
Given that :
Population mean salary, μ = 20,000
To test if mean salary is more or less Than population mean salary, μ, this means we are testing if the mean salary is different from 20,000
Hence, the hypothesis :
Null, H0 : The mean salary is 20000
Alternative, H1 : The mean salary is not 20000
Using notation :
H0 : μ = 20000
H1 : μ ≠ 20000
Hence, alternative hypothesis is : H1 : μ ≠ 20000
I have completed everything except for the last box. Can someone please help me on the last box? Thank you for your help!
Answer:
[tex]2.5\%[/tex]
Step-by-step explanation:
From the Empirical Rule, 95% of the data shown falls between 63 and 95. The other 5% is evenly distributed to each side (since the distribution is bell-shaped), hence there being [tex]\boxed{2.5\%}[/tex] of scores less than 63.
The directions say to give the approximate percentage which is vague. You may have to input [tex]3\%[/tex] if it does not accept [tex]2.5\%[/tex].
Successful managers must have personality characteristics often thought of as feminine as well as those thought as masculine. The Ben-Sex-Role Inventory (BSRI) is a personality test that gives separate ratings for female and male stereotypes, both on a scale of 1 to 7. A sample of 144 hotel general managers of three star and four star hotels had mean BSRI masculinity score of 5.91. Assume that the standard deviation masculinity score for all hotel managers is 2.4. What is the margin of error for the sample of hotel managers at 95% confidence?
Answer:
0.392
Step-by-step explanation:
Given :
Sample size, n = 144
Mean score, = 5.91
Standard deviation, σ = 2.4
The margin of error at 95% confidence, α = 0.05
The margin of error = Zcritical * σ/√n
We use Z because we σ is known
Zcritical at 95% = 1.96
The margin of error = 1.96 * 2.4/√144
The margin of error = 1.96 * 2.4/12
= 1.96 * 0.2
= 0.392
Work out giving ur answer as a mixer number
Answer:
1 11/20
Step-by-step explanation:
3 3/4 - 2 1/5
Get a common denominator of 20
3 3/4 *5/5 -2 1/5 *4/4
3 15/20 - 2 4/20
1 11/20
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}}[/tex]
see this attachment☝
tính tích phân 2 lớp:
∫∫(1+3x+2y)dxdy
We know the formula
[tex]\boxed{\displaystyle\int x^ndx=\dfrac{x^{n+1}}{n+1}+c}[/tex]
c is constant Here c=1[tex]\\ \displaystyle\longmapsto \int (1+3x+2y)dx[/tex]
[tex]\\ \displaystyle\longmapsto \dfrac{3x^{1+1}}{1+1}+\dfrac{2y^{1+1}}{1+1}+1[/tex]
[tex]\\ \sf\longmapsto \dfrac{3x^2}{2}+\dfrac{2y^2}{2}+1[/tex]
[tex]\\ \sf\longmapsto \dfrac{3x^2}{2}+y^2+1[/tex]
[tex]\\ \sf\longmapsto \dfrac{3x^2+2y^2+2}{2}[/tex]
Answer:
[tex]\\\int _{\:}^{\:}\int _{\:}^{\:}\:1+3x+2y\:dxdy=Cy+\frac{3x^2}{2}y+xy+xy^2+C[/tex]
Step-by-step explanation:
[tex]\\\int _{\:}^{\:}\int _{\:}^{\:}\:1+3x+2y\:dxdy[/tex]
[tex]\int _{\:}^{\:}\left(1+3x+2y\right)\:dx\:=x+2yx\:+\frac{3x^2}{2}+C[/tex]
[tex]=\int \left(x+2yx+\frac{3x^2}{2}+C\right)dy[/tex]
[tex]=Cy+\frac{3x^2}{2}y+xy+xy^2+C[/tex]
Is the following shape a square? How do you know?
.8
C.
A
0
O A. No, the opposite sides are not parallel.
B. Yes, the opposite sides are parallel, and all sides are the same
length
O C. No, the sides are not congruent.
D. Yes, the adjacent sides are perpendicular, and all sides are the
same length
A metal rod will be cut into pieces that are each 1/20 meters long. The rod is 4/5 meters long. How many pieces will be made from the rod?
Write your answer in simplest form.
the expression -6x-7(4+3) is equivalent to?
Answer:
x(12y+4)
2 0 l e t t e r s
please help me please help me
Answer:
9999*999
Step-by-step explanation:
it 6 in the morning
Assume the random variable X has a binomial distribution with the given probability of obtaining a success. Find the following probability, given the number of trials and the probability of obtaining a success. P(X > 3), n = 5, p = 0.2
Answer:
0.0064
0.00032
Step-by-step explanation:
Given the details:
P(X > 3), n = 5, p = 0.2
The binomial distribution is related using the formula:
P(x = x) = nCx * p^x * q^(n-x)
q = 1 - p = 1 - 0.2 = 0.8
P(X > 3) = p(x = 4) + p(x = 5)
P(x = 4) = 5C4 * 0.2^4 * 0.8^1 = 5 * 0.2^4 * 0.8^1 = 0.0064
P(x = 5) = 5C5 * 0.2^5 * 0.8^0 = 1 * 0.2^5 * 0.8^0 = 0.00032
720 companies 8 companies win what is the probability
Step-by-step explanation:
total outcomes = 720
favourable outcomes =8
=8/720
=0.01111
Identify if the line has a positive or negative slope. Calculate the slope of the line 2y = x - 8
Answer: m = 1/2
Step-by-step explanation: To find the slope of the line, we would first put the equation in y = mx + b form to get y by itself on the left side.
So divide both sides by 2 to get y = 1/2x - 4.
Now the slope is the coefficient of the x term which is 1/2.
This is a positive slope.
if f(x)=x⁴-x³+x² and g(f)=-x², where x can not equal 0, what is (f/g)(x)?
Answer:
[tex]\displaystyle (\frac{f}{g})(x) = -(x^2 - x + 1)[/tex]
General Formulas and Concepts:
Algebra I
Terms/CoefficientsFactoringFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle f(x) = x^4 - x^3 + x^2[/tex]
[tex]\displaystyle g(x) = -x^2[/tex]
Step 2: Find
Substitute in function values: [tex]\displaystyle (\frac{f}{g})(x) = \frac{x^4 - x^3 + x^2}{-x^2}[/tex]Factor: [tex]\displaystyle (\frac{f}{g})(x) = \frac{x^2(x^2 - x + 1)}{-x^2}[/tex]Simplify: [tex]\displaystyle (\frac{f}{g})(x) = -(x^2 - x + 1)[/tex]The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.
Area of larger triangle = 165 ft^2
Thank you!!
9514 1404 393
Answer:
smaller triangle area = 73 1/3 ft^2
Step-by-step explanation:
The smaller triangle has a ratio of linear dimensions of 10/15 = 2/3 of that of the larger triangle. The area ratio is the square of this, so the area of the smaller triangle is ...
(165 ft^2)(2/3)^2 = (165 ft^2)(4/9) = 220/3 ft^2 = 73 1/3 ft^2
what is the greatest common factor for 9x^2 6x and show work
Answer:
3x
Step-by-step explanation:
9x^2 ?6x
9x? 6x
÷3x. ÷3x
=3x and 2x
highest number is 3x
(b) The area of a parallelogram is 48 cm². If the two adjacent sides are 8 cm and 6 cm, find the length of its diagonal.
9514 1404 393
Answer:
10 cm
Step-by-step explanation:
The given area is the product of the side lengths, so the angle between them must be 90°.
Area = ab·sin(C) . . . . . where C is the angle between sides 'a' and 'b'.
48 cm² = (8 cm)(6 cm)·sin(C)
1 = sin(C) ⇒ C = 90° . . . . . . . . divide by 48 cm², find the arcsin
__
The diagonal of the parallelogram (rectangle) can be found from the Pythagorean theorem. (Using the law of cosines would give the same result.)
d² = 8² +6² = 64+36 = 100
d = √100 = 10 . . . . cm
The length of the diagonal is 10 cm.
_____
Additional comment
You may recognize the diagonal and the given sides form a 3-4-5 right triangle with a scale factor of 2. The diagonal will be the hypotenuse of a right triangle only if the parallelogram is a rectangle.
PLEASEEEE HELPPPPPPP!!!!!
To find S or T add them together:
3/5 + 1/3
Rewrite the fractions to have a common denominator
9/15 + 5/15 = 14/15
Answer: 14/15
Step-by-step explanation:
Here is your answer . Hope it helps.
Vertical asymptotes and holes always occur at x values that are??
HELP PLEASE!!
Answer:
These asymptotes are very important characteristics of the function just like holes. Both holes and vertical asymptotes occur at x values that make the denominator of the function zero.
HELP please, Domain & range
Answer:
0 < S <= 30
3500 < C <= 7400
Step-by-step explanation:
the domain is the interval of values for x (the input variable), for which the function is defined valid to process them.
the range is the interval of y values, the possible results of the function.
as the question writes, C is a function of S. so, our input variable is called S (instead of the usual x).
C(S) = 130S + 3500
this function will be valid for what values of S ?
given the context, are negative values ok for S ?
no, negative transportation amounts don't make sense here.
is 0 a valid value ?
no, they would be driving an empty transport.
and it is said that they can transport up to 30 tons.
so, our S can only be in the interval 0 < S <= 30
that is the domain of the function describing the amount of sugar transported.
the range is now the functional value interval, the interval for y, the calculated cost for transported sugar.
it starts with the smallest possible value, which we simulate by using x=0 again (which is just outside of our valid domain, but really only "just", as everything bigger than 0, no matter how small, is valid).
C(0) = 130×0 + 3500 = 3500
the range starts there but excludes that particular value, as we excluded 0 in the domain.
and the biggest value for the function is clearly, when they transport the maximum capacity : 30 tons.
C(30) = 130×30 + 3500 = 3900 + 3500 = 7400
so, the range is
3500 < C <= 7400
A carpenter can make at most 20 tables and at most 30 chairs per day. Each table requires 3 hours of labor and each chair 2 hours of labor. The maximum total hours of labor that the carpenter has at his disposal is 96.
Answer:
Step-by-step explanation:
1. Define the following: Odds ratio Relative risk 2. Describe how to calculate the Odds ratio and provde the formula. 3. Describe how to calculate the Relative Risk and provide the formula.
Answer and Explanation:
Odds ratio is the odds that an outcome would happen given a level of exposure in comparison to the occurrence of that outcome without exposure. Odds ratio is calculated by dividing odds of event occurring with exposure(the first group) by odds of event(usually disease) occurring without exposure. Odds is different from probability(denoted p/1-p). While probability is the number of favorable events divided by total number of events, odds is number of favorable events/number of unfavorable events.
Relative risk, also measuring relationship between exposure and outcome, is the ratio of the probability that an outcome would occur without exposure and probability that an outcome would occur with exposure.
Kezang was 5 times as old as his son 10 years ago. After 8 years, Kezang will be twice as
old as his son. What are their present age
6,10,16,24,34 nth term can youll please find
Answer:
the next number is going to be46
Answer:
the next number will be 46
!!! HELP ASAP !!! I almost got the problem but the problem was the rounding. I believe I rounded right but it is still incorrect. Can someone please help me on the rounding portion of the question? Thank you for your help!!!
f(x)=-2x^2+x-5 find f(-6)
f(x) = 2x² + x - 5
f(-6) = 2(-6)² + (-6) -5
=> f(-6) = 2(36) -11
=> f(-6) = 72 - 11
=> f(-6) = 61
Find the equation of the line through the points (-2,1) and (5,-20)
Answer:
y = -3x - 5
Step-by-step explanation:
First find the slope: (-20 - 1) / (5 - (-2)) = -3
Then plug in one set of points into the equation y = mx + b.
1 = -3(-2) + b
1 = 6 + b
b = -5
So you can get the equation: y = -3x - 5
Male bluethroats have a complex song which is thought to be used to attract female birds. Let x denote the duration of a randomly selected song (in seconds) from a male bluethroat. The authors of research on bluethroat song report the mean song duration is 13.8 seconds and the standard deviation of song durations is 11.8 seconds. The authors also noted that the song length distribution is not normal.
Required:
a. Let = average song duration (in seconds) for a sample of 36 male bluethroat songs. Is this distribution of the sample mean song duration " normally distributed" ?
b. Find the probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds. Draw, label, and shade a graph to illustrate your result.
Answer:
a) Sample size larger than 30, so by the Central Limit Theorem, yes.
b) 0.8199 = 81.99% probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds. The sketch is given at the end.
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 establishes 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.
Mean song duration is 13.8 seconds and the standard deviation of song durations is 11.8 seconds.
This means that [tex]\mu = 13.8, \sigma = 11.8[/tex]
Sample of 36
This means that [tex]n = 36, s = \frac{11.8}{\sqrt{36}} = 1.9667[/tex]
a. Let = average song duration (in seconds) for a sample of 36 male bluethroat songs. Is this distribution of the sample mean song duration " normally distributed" ?
Sample size larger than 30, so by the Central Limit Theorem, yes.
b. Find the probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds. Draw, label, and shade a graph to illustrate your result.
This is 1 subtracted by the p-value of Z when X = 12. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{12 - 13.8}{1.9667}[/tex]
[tex]Z = -0.915[/tex]
[tex]Z = -0.915[/tex] has a p-value of 0.1801.
1 - 0.1801 = 0.8199
0.8199 = 81.99% probability that a sample of 36 male bluethroat songs will have a mean duration greater than 12 seconds.
Sketch:
Find the slope and then an equation for each line.
Answer:
need the information
Step-by-step explanation:
What is the length of segment AC?
Answer:
10 units
Step-by-step explanation:
Point A (3,-1)
Point B (-5,5)
Distance between them,
√{(-5-3)²+(5-(-1))²}
= √{(-8)²+6²}
= √(64+36)
= √100
= 10 units
38)
A man completes a job in 5 days working 8 hours a day. How many days will he take to complete the same job working 2 hours overtime per day in addition?
Answer:
dbcjchdiskcnbcksksnnckdkxnn
Does the picture below indicate that:
ZJAC ZDBE?
С DA
J
939
A
B
→E
Yes
No
Pls help
Answer:
No
Step-by-step explanation:
The measure of <JAC is shown to be 93°.
The little square symbol inside <DBE shows that <DBE is a right angle.
The measure of a right angle is 90°.
m<DBE = 90°
Congruent angles are angles with equal measures.
Since the measures of angles JAC and DBE are different, they are not congruent.
Answer: No
