Answer:
P[ X < 2,4 ] = 0,1587 or 15,87 %
Step-by-step explanation:
Normal Distribution N ( 2,6 , 0,2 )
mean = μ₀ = 2,6 ft and
standard dviation is
σ = 0,2 ft
Samle size 53 n = 53
2,4 - 2,6 = 0,2
That means the difference between 2,4 and the mean of the sample ( 2,6) is equal to one standar deviation. The empircal rule establishes that the interval [ μ₀ ± σ] contans 68,3 % of all values, by symmetry
μ₀ - σ = 68,3/2
μ₀ - σ = 34,15
Then the half of the bell shape curve is 0,5 and from 0,2 up to 0 ( the normalized μ₀ ) is 34,15 then dfference between
0,5 - 0,3415 = 0,1585 or 15,85% is the probability
Other procedure is:
P[ X < 2,4 ] = [X - μ₀ ] / σ
P[ X < 2,4 ] = 2,4 - 2,6 / 0,2
P[ X < 2,4 ] = - 0,2/0,2
P[ X < 2,4 ] = - 1
And fom z - table we find for z (score) = - 1
P[ X < 2,4 ] = 0,1587
Answer:
0.0668
Step-by-step explanation:
z=x−μσ=2.3−2.60.2=−1.50
Using the normal distribution tables, we find that the area under the standard normal curve to the left of z=−1.50 is approximately 0.0668. Thus, the probability that an individual man’s step length is less than 2.3 feet is approximately 0.0668.
Evaluate the expression when c=3 and y=-4. 8c-y
Answer:
28
Step-by-step explanation:
8c - y
8( 3) - (- 4)
24 + 4
28
What is the domain of the relation?
3(2x+5) = 3x + 4x
What is the solution?
Answer:
15
Step-by-step explanation:
Step 1:
3 ( 2x + 5 ) = 3x + 4x Equation
Step 2:
6x + 15 = 7x Combine Like Terms/Multiply
Step 3:
15 = 7x - 6x Subtract 6x on both sides
Answer:
15 = x
Hope This Helps :)
What is the X-INTERCEPT (x, 0) of the equation x - 3y = 7
Answer:
7
Step-by-step explanation:
When finding the x intercept you replace the y with 0 leaving only x=7
Answer:
7
Step-by-step explanation:
You find it the same way you find the y - intercept in y=mx+b.
The producer believes that there is more variety in people's appreciation of comedies, and so he assumes that the two population standard deviations are not equal in this situation. Calculate the test statistic (t) for this test. Give your answer to 3 decimal places.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is [tex]t = 2.51 [/tex]
Step-by-step explanation:
From the question we are told that
From the question we are told that
The first sample mean is [tex]\= x_1 = 71.1[/tex]
The first standard deviation is [tex]\sigma _1 = 19.4[/tex]
The second sample mean is [tex]\= x_2 = 63.4[/tex]
The second sample deviation is [tex]\sigma_2 = 10.5[/tex]
The first sample size is [tex]n_1 = 55[/tex]
The second sample size is [tex]n_2 = 46[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x_1 - \= x_2 }{ \sqrt{\frac{s_1^2 }{n_1} +\frac{s_2^2 }{n_2} } }[/tex]
=> [tex]t = \frac{71.1 - 63.4 }{ \sqrt{\frac{19.4^2 }{55} +\frac{10.5^2 }{46} } }[/tex]
=> [tex]t = 2.51 [/tex]
In a class of 40 student 6 will be left handed. If a class includes 21 lefties, estimate how many students are in the class.
Answer:
27 students
Step-by-step explanation:
Same set up as the problem
to the left. Fill in the blanks.
25
39
Answer:
Step-by-step explanation:
Huh?
Describe the difference between Western Europe and Eastern Europe after WW II
Answer:
Eastern Europe were Soviet controlled communist puppet governments while the West were American, French, and British backed capitalist governments. Hope this helps
−3(−3x+1)=−6
What’s the answer to this
Answer:
x = -1/3
Step-by-step explanation:
At 8 A.M. the temperature was-14 °F. By noon, the temperature was 12 °F. How many degrees did it change? *
Answer:
I think that to go to the temperature you you can draw a straight line then on one side write negative the other side positive that the centre write 0 then locate -14 and 12 so negative 14 will fall on the negative side and 12 will fall on the positive side then count from -14 up to positive 12 and you'll find that it changed by 26°
A one-tailed hypothesis test with the t statistic Antisocial personality disorder (ASPD) is characterized by deceitfulness, reckless disregard for the well-being of others, a diminished capacity for remorse, superficial charm, thrill seeking, and poor behavioral control. ASPD is not normally diagnosed in children or adolescents, but antisocial tendencies can sometimes be recognized in childhood or early adolescence. James Blair and his colleagues have studied the ability of children with antisocial tendencies to recognize facial expressions that depict sadness, happiness, anger, disgust, fear, and surprise. They have found that children with antisocial tendencies have selective impairments, with significantly more difficulty recognizing fearful and sad expressions. Suppose you have a sample of 40 16-year-old children with antisocial tendencies and you are particularly interested in the emotion of disgust. The average 16-year-old has a score on the emotion recognition scale of 11.80. (The higher the score on this scale, the more strongly an emotion has to be displayed to be correctly identified. Therefore, higher scores indicate greater difficulty recognizing the emotion). Assume that scores on the emotion recognition scale are normally distributed.
The null hypothesis is that your sample of children with antisocial tendencies would have no more difficulty recognizing emotion than the general population of 16-year-olds. Stated using symbols:_________. This is a __________ tailed test. Given what you know, you will evaluate this hypothesis using a________ statistic.
Step-by-step explanation
The answers in bold is what was required from the question.
the null hypothesis using symbol:-
H₀ : μ = 11.80
the alternative hypothesis using symbol:-
H₁: μ ≠ 11.80
This is a one tailed test. Given what you know, you will evaluate this hypothesis using a t test statistic.
Alpha level = 0.05
Sample size = n
Degree of freedom = n-1 = 40-1 = 39
To use the t distribution we will have to find the critical value from the t table this value is 1.685
But the question does not have sample mean and sample standard deviation. So I was unable to solve for the standard error
1 euro is 1.07 dollars and £1 is 1.25 dollars how many euros are in £1
Answer:
1.18 i think
Step-by-step explanation:
#7-11 given two parallel lines find the values of the variables requested below.
Answer:
what the heck
Step-by-step explanation:
Ms. Benoit is a self-employed architect who earns $300,000 annual taxable income. For the past several years, her tax rate on this income has been 35 percent. Because of recent tax law changes, Ms. Benoit’s tax rate for next year will decrease to 25 percent. Based on a static forecast, how much less revenue will the government collect from Ms. Benoit is a self-employed architect who earns $300,000 annual taxable income. For the past several years, her tax rate on this income has been 35 percent. Because of recent tax law changes, Ms. Benoit’s tax rate for next year will decrease to 25 percent. a) Based on a static forecast, how much less revenue will the government collect from Ms. Benoit next year? b) How much less revenue will the government collect from Ms. Benoit next year if she responds to the rate decrease by working more hours and earning $375,000 taxable income? c) How much less revenue will the government collect from Ms. Benoit next year if she responds to the rate decre
Answer:
a
[tex]Y = \$ 30000[/tex]
b
[tex]Y = \$ 11250 [/tex]
c
[tex]X = \$ 36250 [/tex]
Step-by-step explanation:
From the question we are told that
The annual taxable income is [tex]A = \$ 300,000[/tex]
The tax rate for next year is [tex]r = 0.25[/tex]
The present tax rate is [tex]R = 0.35[/tex]
Generally the present amount of tax collected from Ms Benoit is
[tex]K = A * R[/tex]
[tex]K = 300000 * 0.35 [/tex]
=> [tex]K = \$105000 [/tex]
Generally the amount of tax collected from Ms Benoit nest year is
[tex]B = A * r[/tex]
[tex]B = 300000 * 0.25 [/tex]
=> [tex]B = \$75000 [/tex]
The reduction in the tax amount is mathematically represented as
[tex]Y = K - B[/tex]
=> [tex]Y = 105000 - 75000[/tex]
=> [tex]Y = \$ 30000[/tex]
Generally the tax amount of next year when the income is $375,000 is mathematically represented as
[tex]M = 375 000 * r[/tex]
=> [tex]M = 375 000 * 0.25[/tex]
=> [tex]M = \$ 93 750 [/tex]
The reduction in the tax amount is mathematically represented as when the income for next year is $375,000
[tex]Z = K - M[/tex]
=> [tex]Z = 105000 -93 750 [/tex]
=> [tex]Z = \$ 11250 [/tex]
Generally the tax amount of next year when the income is $275,000 is mathematically represented as
[tex]U = 275,000 * r[/tex]
=> [tex]U = 275 000* 0.25[/tex]
=> [tex]M = \$ 68 750 [/tex]
The reduction in the tax amount is mathematically represented as when the income for next year is $275,000
[tex]X = K - M[/tex]
=> [tex]X = 105000 -68 750 [/tex]
=> [tex]X = \$ 36250 [/tex]
Please look at the image below for the question.
I NEED HELP WITH THESE PLEASE?
Answer:
59
Step-by-step explanation:
Find the distance between the points.
(-1, -3) and (-1,0)
The distance is
Answer:
5.099
Step-by-step explanation:
What is the place value of the 3 in the following number:
0.2738
Answer:
It is in the thousands place
Find the slope of the line
Answer:
[tex]m=1[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
(1, -3)
(4, 0)
[tex]m=\frac{0-(-3)}{4-1}[/tex]
[tex]m=\frac{0+3}{3}[/tex]
[tex]m=\frac{3}{3}[/tex]
[tex]m=1[/tex]
what is the ships speed
Answer:
You need a photo or text to back that up, we can't solve this without an image or something that explains this problem.
Step-by-step explanation:
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witch ones do you need help with
point a is located at coordinates (-4,3) point d is the image of A after a reflection using the y-axis , then a translation two units to the right. what are the coordinates of point d ?
help Asap
Answer:
(6,3)
Step-by-step explanation:
If you reflect (-4,3) over the y-axis it is going to become (4,3).
Then, if you move it 2 units to the right, it becomes (6,3)
The coordinates of the point (-4,3) after reflection and translation will be ( 6, 3 ).
What is translation?The process of changing the location of the image on the coordinate system will be known as the translation.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that the point (-4,3) is the image of A after a reflection using the y-axis, then a translation of two units to the right.
Reflection of point ( -4 , 3 ) ⇒ ( 4 , 3 )
A translation of two units to the right ⇒ ( 4 + 2, 3 ) ⇒ ( 6, 3 )
Therefore, the coordinates of the point (-4,3) after reflection and translation will be ( 6, 3 ).
To know more about translation follow
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Three pipes take 1 hour to water the field. How much time will it take to water the field with 4 pipes? working out please
Two angles are supplementary. One measure
3
x
−
2
and the other measures
2
x
+
7
. Find the value of x and the measure of the smaller angle.
Answer:
x = 35°77Step-by-step explanation:
Supplementary angles add up to 180°
3x - 2° + 2x + 7° = 180°5x + 5° = 180°5x = 175°x = 35°Angles
3*35° - 2° = 105° - 2° = 103°and
180° - 103° = 77°Answer:
x = 35
77 degrees
Step-by-step explanation:
Supplementary angles mean that two angles add up to measure 180 degrees.
Solve for x.
(3x - 2) + (2x + 7) = 180
~Combine like terms
5x + 5 = 180
~Subtract 5 to both sides
5x = 175
~Divide 5 to both sides
x = 35
Angle 1:
3x - 2
3(35) - 2
105 - 2
103 degrees
Angle 2:
2x + 7
2(35) + 7
70 + 7
77 degrees
103 > 77
The smaller angle is 77.
Best of Luck!
osana is tracking how many customers she can serve in a morning. She listed the number of customers served per hour in the following table: Hour (x) Number of Customers f(x) 1 3 2 5 3 7 Determine if these data represent a linear function or an exponential function, and give the common difference or ratio. This is a linear function because there is a common difference of 2. This is an exponential function because there is a common ratio of 2. This is a linear function because there is a common difference of 3. This is an exponential function because there is a common ratio of 3.
Answer: This is a Linear function because there is a common difference of 2.
Step-by-step explanation:
Answer:
Answer A) ;
✅This is a linear function because there is a common difference of 2.
Step-by-step explanation:
Because she listed the number of customers served per hour in the following table: Hour (x) Number of Customers f(x) 1 3 2 5 3 7
Monday through Friday A grocery store buys 2/3 bushel of apples per day from a local grower. Saturday the grocer buys 1 1/3 bushels Of apples. Is the grocer buys apples for four weeks how many bushels of apples does he buy
Answer:
21 and 1/3
Step-by-step explanation:
2/3 five times would be 4 and then times that by 4 you get 16
1 and 1/3 times 4 would be 5 and 1/3
5 and 1/3 plus 16=21 and 1/3
Help pls
5/2x-7=3/4x+14
[tex]\frac{5}{2}x-7=\frac{3}{4}x+14[/tex]
[tex]\frac{5x}{2}-7=\frac{3}{4}x+14\\\\\frac{5x}{2}-7=\frac{3x}{4}+14[/tex]
10x−28=3x+56
10x=3x+56+28
10x=3x+84
10x−3x=84
7x=84
[tex]x=\frac{84}{7}[/tex]
x=12
Hope this helps, have a blessed and wonderful day!
Which property justifies this statement? If Q is between P and R, then PR=PQ+QR.
Answer:
P Q R means p and r between. q
Graph y = 1/x + 3 and identify the x-intercept
Answer:
x intercept is 6
y intercept is 3
Step-by-step explanation:
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