On the basis of her newly developed technique, a student believes she can reduce the amount of time schizophrenics spend in an institution. As director of training at a nearby institution, you agree to let her try her method on 20 schizophrenics, randomly sampled from your institution. The mean duration that schizophrenics stay at your institution is 90 weeks, with a standard deviation of 10 weeks. The scores are normally distributed. The results of the experiment show that patients treated by the student stay at the institution a mean duration of 84 weeks. What do you conclude about the student’s technique? Use α = .05. What are the 7 steps?
The exercise above is referred to as Hypothesis Testing which is also called Significance Testing.
What is Significance Testing?
Significance testing is a method that is used to evaluate a research question. This is important because, after you have set a research question or hypothesis, the next step is to check whether it is Null or not.
What are the seven steps involved in the above exercise are:
Two-Tailed (non-directional test)Alpha (α) = 0.05μ = 90σ = 10N = 20X = 84s = 10
Using ∝ = 0.05₂ tail, the conclusion is given as follows:
Z[tex]_{obt}[/tex] = (84-90)/10/[tex]\sqrt{10}[/tex]
= - 6/10/3.1622777
= -6/3.1622777
= -1.8973666
Z[tex]_{crit}[/tex] = for a two-tailed test with ∝ = 0.05 = = ± 1.960
Because we are looking at the left (negative, fewer) tail, Z[tex]_{crit}[/tex] = -1.960
Since | Z[tex]_{obt}[/tex] = -1.897 | [tex]\geq[/tex] | Z[tex]_{crit}[/tex] = -1.960 |
It does fall within the critical region for rejection (left tail), therefore we reject the null hypothesis (H₀) and conclude that the average time spent in the institution for the sample of patients is significantly lower than the institution's average stay.
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100 points! asap! Which graph best represents the solution to the system of equations shown below?
y = -2x + 14
y = 2x + 2
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair 3, 8.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair 8, 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 8, negative 3.
A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, 8.
Answer:
A) A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on the ordered pair (3, 8)
Step-by-step explanation:
Given equations:
[tex]\textsf{Equation 1}: \quad y=-2x+14[/tex]
[tex]\textsf{Equation 2}: \quad y=2x+2[/tex]
Substitute Equation 2 into Equation 1 and solve for [tex]x[/tex]:
[tex]\implies 2x+2=-2x+14[/tex]
[tex]\implies 4x=12[/tex]
[tex]\implies x=3[/tex]
Substitute found value of [tex]x[/tex] into Equation 2 and solve for [tex]y[/tex]:
[tex]\implies y=2(3)+2=8[/tex]
Therefore, the solution to the system is (3, 8).
This is the point of intersection of the two lines.
5 questions! Math, answer by saying "question __ is ____ " thank you! picture included! 50 points!
Answer:
1.c
2.a
3.d
4.b
5.b
Step-by-step explanation:
I found the answers on a web site.
Answer:
1.A
2.D
3.C
4.B
5.A
Step-by-step explanation:
Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. List each zero and its multiplicity
To Express q(x)=12x^5+40x^4-32x^3 in the form described in the Linear Factorization Theorem. The zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.
Factorizationq(x)=12x^5+40x^4-32x³
q(x)=4x³ (3x²+10x-8)
q(x)=4x³(3x²+12x-2x-8)
q(x)=4x³ [(3x (x+4)-2 (x+4)]
q(x)=4x³ (3x-2) (x+4)
When:
q(x)=0; x1=0; x2=2/3; x3=-4
Hence:
When:
x=0 the multiplicity is 3
x=2/3 the multiplicity is 1
x=-4 the multiplicity is 1
Therefore the zero is 0, 2/3, -4 and the multiplicity is: 3, 1, 1.
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Dylan has 58912 cookies he eats 34512 how much does he have now?
Answer:
24,400
Step-by-step explanation:
58912 minus 34512 equals 24400.
Hope this Helps.
BTW it's my birthday
Answer:
24400
Step-by-step explanation:
No explanations; 58912-34512=24400
Consider: f(x) = One-half(3)x and g(x) = –One-half(3)–x On a coordinate plane, an exponential function f (x) approaches y = 0 in quadrant 2 and increases in quadrant 1. How would the graph be affected from f(x) to g(x)? The output values are reflected across the x-axis, but the input values are the same. The output values are the same, but the input values are reflected across the y-axis. The output values are reflected across the x-axis and the input values are reflected across the y-axis. The output values are the same and the input values are the same.
Answer:The output values are reflected across the x-axis and the input values are reflected across the y-axis.
Step-by-step explanation:
aye man you gotta believe me ;)
The graph of f(x) is transformed into g(x) by reflecting the output values across the x-axis and reflecting the input values across the y-axis.
We have,
f(x) = (1/2)³x
and, g(x) = -(1/2)³⁻ˣ
In f(x), the coefficient 3 in the exponent represents exponential growth.
Now, g(x) = –One-half(3)–x.
Here, the negative sign changes the sign of the output values, reflecting them across the x-axis. This means that the graph will be flipped upside down.
and, the negative exponent also changes the sign of the input values, reflecting them across the y-axis. This means that the graph will be mirrored across the y-axis.
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What is the surface area of each solid pyramid? Round answers to the nearest square unit.
Please explain how to solve the problem, not just the answer.
Answer:
The total surface area is
57ft^2.
Write an equation in slope-intercept form of the line that passes through ( 7,2 ) ( 2,12 )
Answer:
y = -2x + 16
hope this helped :)
probably extremely easy but would like a little explanation on doing this when it comes to this specific subject
Answer:
look at each pair. examine each notice exponents so you find the hidden gcf
Step-by-step explanation:
Which lines are the directrices of the ellipse?
x = −4.25 and x = 8.25
x = −3.25 and x = 9.25
y = −4.25 and y = 8.25
y = −3.25 and y = 9.25
The lines that are the directrices of the ellipse is B. x = −3.25 and x = 9.25.
How to calculate the ellipse?From the information given, the equation of parabola will be:
= (x - 3)²/5² + (y - 2)²/3² = 1
Hence, h = 3, k = 2, a = 5, b = 3
e = ✓1 - ✓3²/5²
E = 4/5 = 0.8
The directix will be:
x = 3 + 5/0.8
x = 9.25
x = 3 - 5/0.8
x = -3.25
Therefore, lines that are the directrices of the ellipse is x = −3.25 and x = 9.25.
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The following points (-4, 3), (-2, -1), (3, 1) are vertices of a parallelogram, find the coordinates of the THREE POSSIBLE LOCATIONS, of the fourth vertex
Answer:
A’(5 , -3)
B’(1 , 5)
C’(-9 , 1)
Step-by-step explanation:
Let A be the point of coordinates (-4, 3)
Let B be the point of coordinates (-2, -1)
Let C be the point of coordinates (3, 1)
____
In this case we can form three parallelograms ABA’C, BAB’C , CAC’B
How to find the coordinates of the fourth point A’ of the parallelogram ABA’C
Since we know that the diagonals AA’ and BC of the parallelogram ABA’C intersect in their midpoint then we need to solve these two equations in order to get the coordinates of the point A’ :
[tex]\begin{aligned}\left\{\begin{array}{l}\frac{x_{A}+x_{A^{\prime}}}{2}=\frac{x_{B}+x_{C}}{2} \\\frac{y_{A}+y_{A^{\prime}}}{2}=\frac{y_{B}+y_{C}}{2}\end{array}\right.& \Leftrightarrow\left\{\begin{array}{l}-4+x_{A^{\prime}}=-2+3 \\3+y_{A^{\prime}}=-1+1\end{array}\right.\\\\& \Leftrightarrow\left\{\begin{array}{l}x_{A^{\prime}}=1+4=5 \\y_{A^{\prime}}=0-3=-3\end{array}\right.\\\\& \Leftrightarrow A^{\prime}(5,-3)\end{aligned}[/tex]
________________________
We can follow the same method for the other two parallelograms In order to get the coordinates of the points B’ and C’.
B’(1 , 5)
C’(-9 , 1)
Susie has a rectangular dining room that has an area of 84. What is the area of the largest circular rug Susie can fit in her dining room?
Answer:
25[tex]\pi[/tex]
Step-by-step explanation:
[tex]\pi[/tex]r^2 is the formula for a circle (in this case, a circular rug)
and we would set it equal to 84 (since we are trying to get the biggest size possible).
We would isolate r so that r^2 = 84/[tex]\pi[/tex], and r would be around 5.17219.
If we were going by rounding 5 would be the largest radius possible and the radius would be 25[tex]\pi[/tex] or about 78.5398 units.
Answer:
Rounded to one decimal place, the maximum area circular rug that can fit in the dining room is 38.5 square feet.
Please See the attached screenshot for the exact solutions and answer for this question
calculate the social security and Medicare deductions for the following employee (assume a tax rate of 6.2% on $128,400 for social security and 1.45% for Medicare)
cumulative earnings before this pay period: $409,100
pay amount this period: $8,800
Answer:
Several interpretations:
1. If you're simply looking for the math involved in the employee's portion of the $8,800: 6.2% +1.45% = 7.65%. So 7.65% of $8,800 = $673.20.
2. If you are trying to calculate total FICA for this pay period, it would be 12.4% + 2.9% since these amounts are split between the employer and employee (15.3% = $1,346.40).
3. If you are trying to calculate the total for this pay period given that their YTD earnings are $417,900 (lucky employee!), they do not owe anything (see explanation below).
Step-by-step explanation:
The OASDI program limits the amount of earnings that are subject to taxation in a given year. For 2022, the contribution and benefit base, otherwise known as the taxable maximum, is $147,000. The taxable max for 2018 was $128,400).
Assuming this employee has exceeded that amount as their current YTD income is $417,900 (409,100 + 8,800), they don't owe anything.
Quick Edit:
My apologies! An additional 0.9% Medicare tax is added for taxable income exceeding $200,000 depending on their filing status. Table is available at https://fitsmallbusiness.com/
In simplest form 1 3/10 x 18=
207/5 is the simplest form of [tex]1\frac{3}{10}[/tex] ×18
What is Number system?A number system is defined as a system of writing to express numbers.
We need to find the simplest form of [tex]1\frac{3}{10}[/tex] ×18
Convert the mixed fraction to improper fraction and simplify.
[tex]1\frac{3}{10}[/tex]=23/10
Now multiply Twenty three divided by ten with eighteen.
23/10×18
Multiply 23 and 18
23×18=414
Now divide 414 by 10
414/10
Both numerator and denominator can be divided by 2 so
207/5
Hence 207/5 is the simplest form of [tex]1\frac{3}{10}[/tex] ×18
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Which of the following values in the set below will make the equation 4x + 2 = 18 true?
{0, 1, 2, 3,4}
^^ those are the input numbers
Answer:
4
Step-by-step explanation:
subtract 2 on both sides you will get 4x=16 because 18-2=16 then divide both sides by 4 to get ×=4
4x+2=18
-2. -2
4×=16
4. 4
x=4
integrate the following by parts |xcos x dx
[tex]\displaystyle \int x \cos x ~dx\\\\=x\displaystyle \int \cos x ~dx- \displaystyle \int \left(\dfrac{d}{dx} x \displaystyle \int \cos x ~dx \right) dx\\\\=x\sin x - \displaystyle \int\left( \sin x \right) dx\\ \\=x \sin x - (-\cos x) +C\\\\=x \sin x + \cos x +C[/tex]
Find the numbers of faces, edges, and vertices of the solid.
Answer:
7 faces15 edges10 verticesStep-by-step explanation:
This is a counting problem. As with many counting problems, it is helpful to adopt a strategy that helps ensure you count everything only once.
__
FacesThere are two pentagonal faces and 5 rectangular faces for a total of ...
7 faces
__
EdgesThere are 5 edges around each of the pentagonal faces, and 5 edges connecting the top face to the bottom faces, for a total of ...
15 edges
__
VerticesThere are 5 vertices on the top face, and 5 on the bottom face, for a total of ...
10 vertices
The doubling time of a population of flies is 8 hours. By what factor does the population increase in 34 hours? By what factor does the population increase in 1 week ?
Answer:
19.017 in 34 hours2,097,152 in 1 weekStep-by-step explanation:
An exponent is used to signify repeated multiplication. When the population doubles, it is multiplied by 2. The number of times the population has doubled will be an exponent of 2.
a)In 34 hours, the population will have doubled 34/8 = 4.25 times. The multiplier is 2 with an exponent of 4.25:
factor = 2^4.25 ≈ 19.027
__
b)The population will double 24/8 = 3 times each day. After 7 days, the population will have doubled 7×3 = 21 times. The multiplication factor is ...
factor = 2^21 = 2,097,152
What is the equation of the trend line in the scatter plot?
Answer:
y=(x-1)
Step-by-step explanation:
This below in pic is the question i need reason for my answer pls help
Answer:
The triangle is equilateral, therefore each angle must be 60.
Step-by-step explanation:
PLEASE HELP PLEASE PLEASE HELP
Answer:
[tex]\frac{1}{4}*\frac{25}{25} = 25/100[/tex]=25%
Step-by-step explanation:
n △IJK, m∠J=34°, m∠I=72°, and i=206. Identify j rounded to the nearest tenth.
Answer:
121.1
Step-by-step explanation:
The measurement j will be 121.1
What is law of sine?Law of sine says that ratio of sine of an angle and its opposite side is always same for every 3 angles of the triangle and their opposite sides.
In ΔABC,
sinA/a = sinB/b = sinC/c
in the given triangle ΔIJK
∠J=34°
∠I=72°
i=206
So, using law of sine,
sinI/i = sinJ/j
⇒sin72°/206=sin34°/j
⇒j=(sin34°/sin72°)*206
⇒j=121.1
Therefore, the value of j will be 121.1
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how do I convert 216 in percentage
Answer: 21600
216 as a percentage of certain number x can be calculated by dividing 216 by x, and multiplying the result by 100. For example, 216 as a percentage of 10 = (216 / 10) x 100% = 2160%.
Step-by-step explanation:
Please at least just look to see if its
easy for you
Answer:
4/10
2/5
6/15
Step-by-step explanation:
We can change all fraction to decimal :
2/10 = 0.2
1/10 = 0.1
4/10 = 0.4
2/5 = 0.4
4/5 = 0.8
6/15 = 0.4
Base on that we can see that 4/10, 2/5, and 6/15 are equal
~lenvy~
What is the equation of the line that passes through the point (3, 5) and has a slope
of -1/3
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when the line crosses the y-axis)To determine the equation of a line:
Find the slopePlug the slope into y=mx+bPlug in a point that falls on the line as (x,y)Solve for bSolving the Question
We're given:
[tex]m=-\dfrac{1}{3}[/tex]The lines passes through the point (3,5)[tex]y=mx+b[/tex]
⇒ Plug the slope into the equation:
[tex]y=-\dfrac{1}{3}x+b[/tex]
⇒ Plug in the given point (3,5) and determine the y-intercept:
[tex]5=-\dfrac{1}{3}(3)+b\\\\5=-1+b\\\\b=6[/tex]
⇒ Plug this back into the equation along with the slope:
[tex]y=-\dfrac{1}{3}x+6[/tex]
Answer[tex]y=-\dfrac{1}{3}x+6[/tex]
i will give brainliest
PLEASE HELP!
Answer:
3/4
Step-by-step explanation:
It says Event Q is more likelier to occur than Event T⇒ P(T) = 1/2
⇒ P(Q) > P(T)
⇒ P(Q) > 2
A possible probability is :
P(Q) = 3/4Spot the difference
Find anything that 3 of the 4 image's have in common, and write why the 4th is different from the other 3
cercaughters A mother says to her 5 years ago I 5 times as old as you were but 10 years Hence shall be only twice as old as you will find the posent age of mother T and daughter
Answer:
Daughter is now 10 The mother is 30
Step-by-step explanation:d
d=daugter
5d=mother
5d = 2d +5 +10
3d =15
d=5
5 years ago d=5 m=25
now d=10 m=30
in10 years d=20 m=40
The length of the term is one year. Calculate the principal if the maturity value is $4,500 and the simple interest is $350.
Answer:
Easy! The answer is $4,150
Step-by-step explanation:
The $350 is interest so we will take that away from the maturity value to get 4,150!
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Using the chart, determine which college is the LEAST expensive.
Answer:
college c
Step-by-step explanation:
bc its the least amount of money and has the second highest loan default