Answer:
Step-by-step explanation:
whats the question
A Chi-square distribution has 11 degrees of freedom. Find the χ2 value corresponding to a right-hand tail area of .025
Answer:
21.920
Step-by-step explanation:
The χ2 value corresponding to a right-hand tail area of 0.025 with 11 degrees of freedom is approximately 21.92.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
A Chi-square distribution is a probability distribution that is used in statistical analysis.
It is typically used to determine whether there is a significant difference between two sets of data.
The degrees of freedom for a Chi-square distribution is the number of independent variables in the data.
The χ2 value is used to determine the likelihood of obtaining a particular result from a Chi-square test.
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x-5(x-1)=x(-2x3) solve the equation
Answer:
x-5(x-1)=x(-2x3)
x-5x+5=-5x
-4x+5=-5x
-4x+5-5=-5x-5
-4x+5x=-5x+5x-5
x= -5Step-by-step explanation:
What is the absolute value of -5
Answer:
5
Step-by-step explanation:
The tensile strength of a metal part is normally distributed with mean 40 pounds and standard
deviation 5 pounds.
a. What is the probability of failing to meet the specification limit of 45-pounds tensile strength? b. Based on the probability of a, if 50,000 parts are produced, how many would parts would not
meet the specification?
Using the standard normal distribution.
a) The probability of failing to meet the specification limit of 45-pounds tensile strength 15.87%.
b) The number of parts that would not meet the specification is 7,935.
a) Given that the tensile strength of a metal part is normally distributed with mean 40 pounds and standard deviation 5 pounds.
We have to find the probability of failing to meet the specification limit of 45-pounds tensile strength.
Using the standard normal distribution, we can find the probability of failing to meet the specification limit of 45 pounds as follows:
z = {45 - 40}/{5}
= 1
The probability of failing to meet the specification limit of 45 pounds is the probability that the standardized variable Z is greater than 1, which is given by:
P(Z > 1) = 0.1587
Therefore, the probability of failing to meet the specification limit of 45-pounds tensile strength is 0.1587 or 15.87%.
b) If the probability of failing to meet the specification is 0.1587, the probability of meeting the specification limit is
1 - 0.1587 = 0.8413
.If 50,000 parts are produced, then the expected number of parts that meet the specification limit is:
0.8413* 50,000 = 42,065.
Therefore, the number of parts that would not meet the specification is: 50,000 - 42,065 = 7,935.
Hence, about 7,935 parts would not meet the specification.
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The direction angle of a vector is 135o. The x-component of the vector is -3. What is the y-component of this vector
Answer:
3
Step-by-step explanation:
the vector somewhat looks like this:
^
_\|_ the angle is 135 degrees, and the x component is -3
| To find the y component given the direction angle and x component, use the formula y_comp = tan(angle) * x_comp
tan (135 degrees) * -3 = 3
You can also use the graph and geometry, but that method is not recommended for beginners as it is very easy to make a mistake. The graph should be used to check if your answer makes sense.
My little brother spent $53 on comic books and magazines. He bought 17 items. If comic books cost $4 and magazines cost $3, how many of each item did my brother buy?
Answer:
comic books = 2
magazines = 15
Step-by-step explanation:
Let c = number of comic books bought
Let m = number of magazines bought
He bought 17 items, so
c + m = 17
Comic books cost $4 each and magazines cost $3 each.
He spent $53 on comic books and magazines, so
4c + 3m = 53
Rearrange c + m = 17 to make m the subject:
m = 17 - c
Substitute m = 17 - c into 4c + 3m = 53 and solve for c:
4c + 3(17 - c) = 53
⇒ 4c + 51 - 3c = 53
⇒ c = 2
Substitute c = 2 into m = 17 - c to and solve for m:
m = 17 - 2 = 15
Suppose you are offered an investment that will pay you $800 a month for 40 years. If your required return is 6% per year, compounded monthly, what would you be willing to pay for this investment?
If you have a required return of 6% per year, compounded monthly, and you are offered an investment that will pay you $800 a month for 40 years, you would be willing to pay approximately $206,595.71 for this investment.
To determine the value you would be willing to pay for this investment, we can use the concept of present value. The present value of an investment is the current worth of the future cash flows it will generate. In this case, the investment will pay you $800 a month for 40 years.
To calculate the present value, we can use the formula:
\(PV = CF / (1 + r)^n\)
Where PV is the present value, CF is the cash flow, r is the required return per period, and n is the number of periods.
In this case, the cash flow is $800 per month, the required return is 6% per year (or 0.06/12 = 0.005 per month), and the number of periods is 40 years * 12 months = 480 months.
Plugging these values into the formula, we have:
PV = $800 / \((1 + 0.005)^(480)\)
Calculating this expression, we find that the present value is approximately $206,595.71. Therefore, you would be willing to pay approximately $206,595.71 for this investment to achieve your required return of 6% per year, compounded monthly.
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what is the least refractive index that a right-angle prism must have to reflect light through an angle of 90 degrees?
The least refractive index that a right-angle prism must have to reflect light through an angle of 90 degrees is 1.414.
The refractive index of a given material at two particular wavelengths depends on the composition of the material. Generally, the refractive index is measured using a spectrometer or a refractometer.
The measurements of the refractive index at two particular wavelengths would be specific to the material being measured, and the exact values depend on the exact composition of the material.
The refractive index (n) of a material is a measure of how much the material affects the speed of light passing through it. The least refractive index of a material is 1, which is the refractive index of a vacuum.
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Use completing the square to determine which of the following gives the solutions to 3x2 - 24x + 40 = 28.
A 2+413
O B. 4+2√3
o C. 37312
D. 6+2/5
Answer:
\(x=4+2\sqrt{3}\)
\(x=4-2\sqrt{3}\)
Step-by-step explanation:
Completing the square
when \(ax^2+bx+c=0\)
Given equation:
\(3x^2-24x+40=28\)
Subtract 40 from both sides:
\(\implies 3x^2-24x=-12\)
Divide both sides by 3:
\(\implies x^2-8x=-4\)
Add the square of half the coefficient of \(x\) to both sides:
\((\frac{b}{2})^2=(\frac{-8}{2})^2=16\)
\(\implies x^2-8x+16=-4+16\)
Factor the left side and simplify the right side:
\(\implies (x-4)^2=12\)
Square root both sides:
\(\implies x-4=\pm\sqrt{12}\)
Add 4 to both sides and simplify the radical:
\(\implies x=4\pm\sqrt{4 \cdot 3}\)
\(\implies x=4\pm\sqrt{4}\sqrt{3}\)
\(\implies x=4\pm2\sqrt{3}\)
For each set of angles name the angle pair and find the missing measurement Type of angle pair 2) These angles are to 1340 SO...X=
a marksman can hit a bull eyes from 100 m three times out of every four shots. what is the probability that hits will a bulls eye with a least one of his next three shot
The probability that he hits will a bulls eye with at least one of his next three shots is 98.43%.
ProbabilitiesGiven that a marksman can hit a bull eyes from 100 m three times out of every four shots, to determine what is the probability that hits will a bulls eye with a least one of his next three shots, the following calculation must be performed:
Probability of failure: 0.25Therefore, the probability that he hits will a bulls eye with at least one of his next three shots is 98.43%.
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If there are 274 million adults in the country, how many believe that divorce is morally wrong?
The number of adults believes that the divorce is morally wrong is given by 54.8 million.
Given that the total number of adults in the country is = 274 million
Percentage of adults believe that the divorce is morally wrong is given by = 20 %
So the probability of adults believes that the divorce is morally wrong is given by = 20 / 100 = 1 / 5.
The number of adults believes that the divorce is morally wrong is given by
= (Number of total adults) * (Probability of adults believes that the divorce is morally wrong)
= 274 million * (1 / 5)
= 54.8 million
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The question is incomplete. The complete question will be -
"If there are 274 million adults in the country, and 20% believe that the action is morally wrong. How many believe that divorce is morally wrong?"
What is the conversion of 2/5 in decimal ?
The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.
A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.
2/5 = (2 × 2) / (5 × 2) = 4/10
Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.
The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.
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Find cos A and cot B exactly if a = 15 and b = 11.
Answer:
D. 15/√346
Hope this helps! Have a nice day :)!
In triangle def, if m∠d = (4x)°, m∠e = (2x − 3)°, and m∠f = (x 8)°, what is the value of x? 51 29 26 25
Answer:
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180°.
m<D + m<E + m<F = 180°
4x + 2x + m<F = 180
What is the measure of <F? It's not clear in the post.
How do you know if triangles are congruent in SAS?
With the help of the figure we can say that triangles are congruent by SAS Rule
What is Congruence of Triangle?
Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides are equal and all three of their corresponding angles are equal in size. These triangles can be moved, rotated, flipped, and turned to look exactly the same.
Solution:
By SAS rule, two triangles are said to be congruent if any two sides and the angle included between the sides of one triangle are comparable to the corresponding two sides and the angle included between the sides of the second triangle.
In given figure, sides AB= PQ, BC=QR and angle between AB and BC equal to angle between PQ and QR i.e. ∠B = ∠Q. Hence, Δ ABC ≅ Δ PQR.
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Brynn is watching her neighbor's dogs. She earns , , but spends on Uber Eats while she is there. If she wants to earn between and dollars, how many , , must she watch the dogs. Simplify the compound inequality: 125 < 20h - 15 < 125
Answer:
Step-by-step explanation:
poop
What is 125 kg to lbs?
125 kg to lbs is 275.577828 Pounds. To find out how many pounds are contained in 125 kilograms, multiply 125 by 2.205.
The kilogram (also known as the kilogram) is the SI's (International System of Units) unit of mass and has the unit sign kg. It is a unit of measurement that is widely used in research, engineering, and commerce across the globe. Its meaning is "1,000 grams." The second and the metre, both of which are founded on fundamental physical constants, are used to define the kilogram. This enables a metrology lab with the appropriate equipment to calibrate a mass measurement device, such as a Kibble balance, to determine a precise kilogram mass. The pound is a unit of weight that is commonly accepted in the imperial system of mass measurement (the gravitational force acting on any given object).
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Find the exact value of sin 29π/6
Group of answer choices
a 3/4
b 1/2
c -3/5
d 0
Answer:
b
Step-by-step explanation:
Remove full rotations of
2
π
until the angle is between
0
and
2
π
.
sin
(
5
π
6
)
Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.
sin
(
π
6
)
The exact value of
sin
(
π
6
)
is
1
2
.
1
2
The result can be shown in multiple forms.
Exact Form:
1
2
Decimal Form:
0.5
A researcher’s hypothesis is that the average length of salmon returning to spawn from an Alaskan river is less than the historical average length of 24 inches. The researcher collects a random sample of 45 salmon, measures the length of each fish, and computes an average length of 22 inches, with a standard deviation of 3.1 inches.
Which of the following is the appropriate test for the researcher’s hypothesis?A) A matched-pairs t-test for a mean difference
B)A two-sample t-test for a difference between means
C)A one-sample z-test for a population mean
D)A one-sample t-test for a population mean
E)A one-sample z-test for a population proportion
The appropriate test for the researcher’s hypothesis is: D)A one-sample t-test for a population mean.
What is a one-sample T-test?A one-sample t-test is a kind of test that is used to determine the level of difference between the population mean of an unknown variable and a given or known value.
In the given question, the goal is to determine the difference between the sample mean of the lengths and the mean of the salmon population. To attain this goal, the researcher should use the one-sample T-test. The number of the population, the standard deviation, the sample mean and hypothesized mean are all markers for this test.
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I need help for my homework. Thank you!
Answer: i dont really knw much bout this but i think its 22.71563
Step-by-step explanation:
Calculates c, ∠B, and ∠A based on given b, a, and ∠C.
c = √b2 + a2 - 2ba·cos(C) = 22.71563
∠B = arccos(
c2 + a2 - b2
2ca
)
= 0.39114 rad = 22.411° = 22°24'39"
∠A = arccos(
c2 + b2 - a2
2cb
)
= 1.70325 rad = 97.589° = 97°35'21"
Area =
ab·sin(C)
2
= 112.5833
Perimeter p = a + b + c = 58.71563
Semiperimeter s =
a + b +c
2
= 29.35782
Height ha =
2×Area
a
= 8.66025
Height hb =
2×Area
b
= 22.51666
Height hc =
2×Area
c
= 9.91241
Median ma = √(a/2)2 + c2 - ac·cos(B) = 11.78983
Median mb = √(b/2)2 + a2 - ab·cos(C) = 23.89561
Median mc = √(c/2)2 + b2 - bc·cos(A) = 16.09348
Inradius r =
Area
s
= 3.83487
Circumradius R =
a
2sin(A)
= 13.11488
two variables are said to be negatively associated if
Answer: large values of one variable are associated with small values of the other
Step-by-step explanation:
A ?is a relation that has exactly one element in its ?for every value in its ?
What type of number is -1016?
a. Rational
b. Integer
c. Rational and integer
(Justify)
-1016 is a rational number and integer
What are rational and integers?Integers are basically the whole numbers that can be positive, negative, or zero. In integers, fractional numbers are not included. For instance, -2, -3,0,1,5, and so on are integers.
A rational number, in Mathematics, can be defined as any number which can be represented in the form of p/q where q ≠ 0.
Example of rational numbers are 1/2 , 2/1 , 3/5 e.t.c.
All positive and negative integers are also rational numbers.
Therefore the number -1016 is a both a rational number and an integer.
This is because all positive and negative numbers are integers.
And -1016 can be written as -1061/1 which makes it a rational number.
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20 POINTS
what is the vertex of this quadratic function
Answer:
(-4,-9)
Step-by-step explanation:
vertex form: y=a(x-h)^2+k
hk=vertex of x and y
inside parentheses=horizontal (opposite signs)
that’s why it’s -4 instead of 4 for h (x) while -9 stays the same since it’s not inside the parentheses
If the point M(2,2) is reflected over the y axis, what will be the coordinates of the resulting point, M’?
Answer:
-8,5
Step-by-step explanation:
8,5 because the "m" is 5 squares down and 8 squares to the right.
should averages be taken literally? what are the drawbacks. has your understanding and perceptions of averages changed? if so how?
Averages are a useful tool for summarizing data and providing a general idea of the central tendency of a dataset. However, it is important to recognize that averages can have drawbacks and should not always be taken literally.
One of the main drawbacks of using averages is that they can be heavily influenced by outliers or extreme values in the dataset. These outliers can skew the average, making it a poor representation of the typical or average value in the dataset. For example, if a dataset includes a few very large values, the average may be much higher than what is typical for the majority of the data.
Another drawback of using averages is that they can mask important variation or patterns in the data. Averages provide a summary of the data, but they do not provide any information about the distribution or spread of the data. For example, two datasets with the same average may have very different distributions, one with a narrow range of values and the other with a wide range of values. Therefore, relying solely on averages can obscure important information about the data.
My understanding and perception of averages has changed as I have learned more about statistics and data analysis. While averages are still a useful tool for summarizing data, I now recognize the importance of considering other measures of central tendency and variability, as well as visualizing the data through graphs or charts. I also appreciate the importance of understanding the context and limitations of the data when interpreting averages. Overall, I have come to recognize that averages are just one tool in the data analyst's toolbox and should be used in conjunction with other techniques to gain a more complete understanding of the data.
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x + y = 3 solve for y
Answer:
X + Y = 3 Y = 1 X = 2
Step-by-step explanation:
A variable is always 1
Answer:
x is either 2 or 1 and y is either 1 or 2
Step-by-step explanation:
because the only equation that would fit this is 1 + 2 or 2 + 1 so... y would either be 2 or 1 .
How do i solve this paper?
I feel like my answers are gone and i need help.
Answer:
you have it correct sir
Step-by-step explanation:
jacob is playing minktute golf. he states that he cannot hit the ball from the start, bounceit off the back wall once, and reach the hole in one shot. Is jacob correct? trace and label a diagram to support your answer
Answer:
Do you have a picture example?
Step-by-step explanation:
Since Jacob is playing miniature golf, then the ball couldn't reach the hole in one shot, thus Jacob is correct.
What is a contingency statement?Contingency is a statement in which there are some true and some false values for every value of its propositional variables.
Given that Jacob is playing miniature golf states that he cannot hit the ball from the start. then Bounce it off the back wall once And reach the hole in one shot.
So, we can write that the ball needs to bounce off the back wall once.
The ball can't reach the hole in one shot so Jacob is correct.
It is impossible to hit the ball from the start,
Bounce it off the back wall once,
And reach the hole in one shot.
Therefore, Jacob is playing miniature golf, the Jacob is correct.
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