Answer:
Probability that effect is real = 0.97
Step-by-step explanation:
Given data :
ratio of true to false = 0.7
Alpha level = 0.05
power of study = 0.8
Determine the probability that this effect is real
From the question we can deduce : 70% of events are real , 30% of events are not real
% of real effect = 0.8 * 70% = 56%
% of false effect = alpha level * percentage of unreal events
= 0.05 * 30% = 1.5%
summation of effects = 56 + 1.5 = 57.5%
Hence probability that the effect is real
= 56% / 57.5%
= 0.9739 ≈ 0.97
I need help with the solutions for 19,20,21 thank you
Answer:
GIVEN :-
Coordinates of points are :-
(-5 , 12)(2 , 8)(3 , -6)TO FIND :-
All the trigonometric values of given pointsFACTS TO KNOW BEFORE SOLVING :-
It's important to know that :-
In 1st quadrant (0° to 90°) , all the trigonometric values are positive .In 2nd quadrant (90° to 180°) , except sin & cosec , rest all trigonometric values are negative.In 3rd quadrant (180° to 270°) , except tan & cot , rest all trigonometric values are negative.In 4th quadrant (270° to 360°) , except cos & sec , rest all all trigonometric values are negative.SOLUTION :-
Q1)
Plot (-5,12) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 2nd quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 12 unitslength of base of triangle (OB) = 5 unitslength of hypotenuse (OA) = 13 unitsLet the angle between OA & positive x-axis be θ.
⇒ ∠AOB = 180 - θ
So ,
[tex]\sin (AOB) = \sin(180 - \theta) = \sin \theta = \frac{12}{13}[/tex][tex]\cos(AOB) = \cos (180 - \theta) = -\cos \theta = -\frac{5}{13}[/tex][tex]\tan(AOB) = \tan(180 - \theta) = -tan \theta = -\frac{12}{5}[/tex][tex]\csc(AOB) = \csc(180 - \theta) = \csc \theta = \frac{1}{\sin \theta} = \frac{13}{12}[/tex][tex]\sec(AOB) = \sec(180 - \theta) = -\sec \theta = -\frac{1}{\cos \theta} = -\frac{13}{5}[/tex][tex]\cot(AOB) = \cot(180 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{5}{12}[/tex]Q2)
Plot (2,8) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 1st quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 8 unitslength of base of triangle (OB) = 2 unitslength of hypotenuse (OA) = 2√17 unitsLet the angle between OA & positive x-axis be θ.
⇒ ∠AOB = θ
So ,
[tex]\sin(AOB) = \sin \theta = \frac{8}{2\sqrt{17} } = \frac{4}{\sqrt{17} }[/tex][tex]\cos(AOB) = \cos \theta = \frac{2}{2\sqrt{17}} = \frac{1}{\sqrt{17}}[/tex][tex]\tan(AOB) = \tan \theta = \frac{8}{2} = 4[/tex][tex]\csc(AOB) = \csc \theta = \frac{1}{\sin \theta} = \frac{\sqrt{17}}{4}[/tex][tex]\sec(AOB) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{17}[/tex][tex]\cot (AOB) = \cot \theta = \frac{1}{\tan \theta} = \frac{1}{4}[/tex]Q3)
Plot (3,-6) on the cartesian plane and name it 'A'Drop a perpendicular to x-axis from 'A' and name the point 'B' where the perpendicular meets x-axis.Join the point A with the origin 'O'.You'll notice a right-angled ΔABO formed (∠B = 90°) in the 4th quadrant of the plane whose :-
length of perpendicular of triangle (AB) = 6 unitslength of base of triangle (OB) = 3 unitslength of hypotenuse (OA) = 3√5 unitsLet the angle between OA & positive x-axis be θ . [Assume it in counterclockwise direction].
⇒ ∠AOB = 360 - θ
So ,
[tex]\sin(AOB) = \sin(360 -\theta) = -\sin \theta = -\frac{6}{3\sqrt{5} } = -\frac{2}{\sqrt{5} }[/tex][tex]\cos(AOB) = \cos(360 - \theta) = \cos \theta = \frac{3}{3\sqrt{5} } = \frac{1}{\sqrt{5} }[/tex][tex]\tan(AOB) = \tan(360 - \theta) = -tan \theta = -\frac{6}{3} = -2[/tex][tex]\csc(AOB) = \csc(360 - \theta) = -\csc \theta = -\frac{1}{\sin \theta} = -\frac{\sqrt{5} }{2}[/tex][tex]\sec(AOB) =\sec (360 - \theta) = \sec \theta = \frac{1}{\cos \theta} = \sqrt{5}[/tex][tex]\cot(AOB) = \cot(360 - \theta) = -\cot \theta = -\frac{1}{\tan \theta} = -\frac{1}{2}[/tex]What is the volume of the cylinder below?
Answer:
I would go with the first one
Step-by-step explanation:
I put 4/3 x 3.14 x 6² on the calculator and it gave me 150.72 so A is the closest I'm not 100% sure but ye
A sample of 169 observations showed an average of 15 and a standard deviation of 26. Construct the 88% confidence interval for the population mean. What is the upper limit of this interval
Answer:
18.11
Step-by-step explanation:
The formula for Confidence Interval is given as:
Confidence Interval = μ ± z × σ /√n
μ = the population mean/average = 15
σ = the population standard deviation = 26
z = z score of 88% confidence interval = 1.5548
= 15 ± 1.5548× 26/√169
= 15 ± 1.5548 × 26/13
= 15 ± 1.5548 × 2
= 15 ± 3.11
Hence,
Confidence Interval = 15 ± 3.11
Lower Limit
= 15 - 3.11
= 11.89
Upper limit
= 15 + 3.11
= 18.11
Therefore, the upper limit of the 88% confidence interval is 18.11
please help me!! its due at 8pm
Answer:
1. 1,538.60 cm³
2. 314.00 m³
Step-by-step explanation:
1. Given:
Diameter = 14 cm
Radius (r) = ½(14) = 7 cm
height (h) = 10 cm
π = 3.14
Volume of cylinder = πr²h
Plug in the values
V = 3.14*7²*10
V = 1,538.60 cm³
2. Given:
Radius (r) = 5 m
Height (h) = √(13² - 5²) = √144 = 12 m
π = 3.14
Volume of cone = ⅓πr²h
Plug in the values
V = ⅓*3.14*5²*12
V = 314.00 m³
1. The exact value of cos60
is
A) 3
3 B) 2
3 C) 2
2 D) 2
1 E) none of the above
Three less than two times a number is 55. What is the number?
Answer:26
Step-by-step explanation:
What measurement of a rectangle does a left-hand sum use?
height at the right edge
width at the right edge
height at the left edge
width at the left edge
Answer:
C. Height at the left edge
Step-by-step explanation:
Edge 2021
Answer:
Step-by-step explanation:
Can someone do these questions 1-3 please i have an F in math now :/
9
Is the function shown in the
graph one-to-one?
Yes, there exists one
input for every output.
No, there exists
more than one output for at
least one input.
• No, there exists
more than
one input for at least one
output.
Yes, there exists one output for
every input.
Answer: Choice D
Yes, there exists one output for every input.
=======================================================
Explanation:
x = input
y = output
For any given x value, we have exactly one and only one y value that pairs up with it. Use the vertical line test. This is where we try to draw a single vertical line through more than one point on the curve. You'll find that no such line can be drawn. Any vertical line only crosses the curve exactly once (corresponding to exactly one output). We say that it passes the vertical line test, and therefore we have a function.
Side note: the curve does not pass the horizontal line test. That means the function is not one-to-one.
5. How tall is the flagpole? It’s missing!
a. Hint: Use a proportion & cross multiplication to find the missing side.
The height of the flagpole is _________________ feet.
Answer:
The flagpole is 51ft tall
Step-by-step explanation:
Given
See attachment for flagpole
Required
The height of the flagpole
To do this, we use the following equivalent ratios
[tex]h : 85 = 6 :10[/tex]
Where h is the required height
Express as fraction
[tex]\frac{h}{ 85} = \frac{6 }{10}[/tex]
Make h the subject
[tex]h = \frac{6 }{10} * 85[/tex]
[tex]h = \frac{6 * 85}{10}[/tex]
[tex]h = \frac{510}{10}[/tex]
[tex]h = 51[/tex]
Find the equation of the circle with center at (
1, 4) and passes through the point (1, 4).
Answer:
desmos
Step-by-step explanation:
1 2 3 4
help me solve this problem from kahn academy
Answer:
150
Step-by-step explanation:
Angle A= angle b
8x-10=3x+90
5x=100
x=20
Angle B=150
Answer:
150
Step-by-step explanation:
i hope this helps sorry if not m wrong
You are conducting a study to see if the probability of a true negative on a test for a certain cancer is significantly more than 40%. With H1 : p > 40% you obtain a test statistic of z = 1.574. Find the p-value accurate to 4 decimal places.
Answer:
The p-value is 0.0577.
Step-by-step explanation:
The alternate hypothesis is:
[tex]H_1: p > 40\%[/tex]
P-value of the test:
The p-value of the test is the probability of finding a sample proportion above the one found, which is 1 subtracted by the p-value of z.
We have that z = 1.574.
Looking at the z-table, z = 1.574 has a p-value of 0.9423
1 - 0.9423 = 0.0577
The p-value is 0.0577.
When using a general linear programming optimization model for transportation problems, if there are 4 sources and 3 destinations, which of the following statements is true? There are typically 12 decision variables and 7 constraints. There are typically 4 decision variables and 3 constraints. There are typically 12 decision variables and 12 constraints. There are typically 7 decision variables and 7 constraints.
Answer:
There are typically 12 decision variables and 7 constraints. ( option A )
Step-by-step explanation:
Given that there are 4 sources and 3 destinations The true statement is :
There are typically 12 decision variables and 7 constraints.
Because : In general linear programming optimization
number of decision variables in transportation = destination * source
= 3 * 4 = 12 variables
number of constraints = destination + sources = 3 + 4 = 7 constraints
what is the slope of the line given by the equation y= -5x?
Answer:
-5
Step-by-step explanation:
[tex]y=-5x[/tex]
The equation given is in slope intercept form.
A slope-intercept equation that passes through the origin would not have the '+ b' part because there is no intercept.
[tex]y=-5x+0[/tex]
When there is no intercept we would not write the '+ 0'.
The slope given is -5.
Hope this helps.
help me. i don’t know any of this. i have no idea what surface area is because i wasn’t listening :DD
Is it possible to construct a triangle with the given side lengths?
1 ft, 6 ft, 9 ft
Yes or no?
Is quadrilateral UVWX a parallelogram? Why or why not?
A)
There isn't enough information.
B)
Yes, because adjacent sides aren't perpendicular.
C)
No, because opposite sides aren't congruent.
D)
Yes, because opposite sides are parallel.
Answer:
D) Yes, because opposite sides are parallel.
Step-by-step explanation:
PLS ANSWER RN
The coordinates of points A and B are A(
4-2) and B(12, 10). What are the coordinates of the point that is
is?
of the way from A to B?
Answer:
So, the answer in short is B) (6,1)
Step-by-step explanation:
If you graph the points, then you see that point A is 8 points away from point B on the X-axis. If you take 8 and divide it by 4, you get 2, so that means that the 1/4 way point is 2 points away from point A, giving you 6 as your x-axis point for this new point. B is the only one with 6 as its spot on the x axis, leaving B as the only choice. BTW you're pretty cute ;)
Lynn's cruise lasted 6 day 18 hr. Convert the time to hours.
Provide your answer below:
Answer:
162 hours
Step-by-step explanation:
1 day= 24 hours
24 times 6= 144
144 + 18= 162
[tex] \huge \mathtt \green{Question}[/tex]
Lynn's cruise lasted 6 day 18 hr. Convert the time to hours.
[tex] \huge \mathtt \green {Answer}[/tex]
We know that 1 day = 24 hr.
So, 6 days = 24 × 6
= 144
So, 6 days 18 hr = 162 hr
Determine the intercepts of the line.
7x– 5 = 4y – 6
Answer:
See steps below:)
Step-by-step explanation:
x2+5x-36
What is the simplest form of
?
x² - 16
X+9
X+4.
OT
X+9
X-4
9
4
Answer:
45
Step-by-step explanation:
58928
489472
74737383737372
LINK = REPORT
Simplify.
(-8^3)^2
A) (-8)
B) (-8)^5
C) (-8)^6
D) 16^3
And please answer this one if you can!
(4^3)^5
A). 4^-2
B). 4^3
C). 4^8
D). 4^15
I will give brainliest if the answer is right!
Answer:
Part 1:
(-8)^6
Part 2:
4^15
When raising a number to a power and then that value to another power, you can multiply the exponents.
A b c or d?? Lmk..Brainly
Answer:
28.3 (b)
Step-by-step explanation:
To solve circumference, you will need to use the equation C = 2 *pi* r
for this, we will use 3.14 for pi and the radius is 4.5 so this is how we need to solve it
C= 2 pi (4.5) Solve 2*4.5
C= 9 pi Now we input 3.14 for pi and multiply
C= 9(3.14)
C= 28.26 Now we round to the nearest tenth to get
C=28.3
what integer is the opposite of positive 7
Answer:
-7
Or:
Negative 7
Function Composition:
Let the function [tex]f(x)= 3+6x[/tex] , determine:
Answer:
Given
f(x) = 3 + 6xA
Find the inverse of f(x):
x = 3 + 6f⁻¹(x)6f⁻¹(x) = x - 3f⁻¹(x) = (x - 3) / 6B
f · f⁻¹( ∛5/6) = f( f⁻¹( ∛5/6)) = f((∛5/6 - 3)/6) = 3 + 6((∛5/6 - 3)/6) =3 + ∛5/6 - 3 =∛5/6C
f · f⁻¹(x) = f(f⁻¹(x)) = f((x - 3)/6) = 3 + 6(x - 3)/6 = 3 + x - 3 = xA researcher investigates if chocolate affects mood. She recruits college students to take a mood inventory, ingest a quarter pound of chocolate and then complete the mood inventory again. Given the following confidence interval [2.34, 5.41], make a decision about the hypotheses.
And explain why?
A) Reject the null hypothesis and conclude that chocolate affected mood because zero, or no effect, does not fall within the confidence interval.
B) Reject the null hypothesis and conclude chocolate lowers affect because the confidence interval includes small numbers.
C) Fail to reject the null hypothesis because the confidence interval is positive.
D) Fail to reject the null hypothesis and conclude the effect size is small for this study.
Answer:
A) Reject the null hypothesis and conclude that chocolate affected mood because zero, or no effect, does not fall within the confidence interval
Step-by-step explanation:
The confidence interval could be used as a tool to test an hypothesis on a some certain conditions. When we obtain a confidence interval whose range includes the value 0, we would fail to reject the null hypothesis of such analysis as this upholds the truth of the null hypothesis. However, if the interval does not contain the value 0, we reject the null and claim that there is significant evidence to accept the alternative hypothesis.
Hence, for the confidence interval given [2.34, 5.41], the interval does not contain the value 0, Hence, we reject the null.
The mass of iron in planet Earth is 2.090 x 1024 kg.
Given that the Earth has a mass of 5.972 x 1024 kg, find the
percentage of the Earth's mass that is iron.
Answer:
Percentage = 35%
Step-by-step explanation:
Given the following data;
Mass of iron, I = 2.090 x 10^24 kg
Mass of Earth, E = 5.972 x 10^24 kg
To find the percentage mass of iron on Earth;
[tex] Percentage = \frac {I}{E} * 100 [/tex]
Substituting into the formula, we have;
[tex] Percentage = \frac {2.090 * 10^{24}}{5.972 * 10^{24}} * 100 [/tex]
[tex] Percentage = 0.350 * 100 [/tex]
Percentage = 35%
HELP HELP HELP HELP ❄️✨
Answer:
Step-by-step explanation:
If you add the section from 1-3 and 4-6 you are adding 8 days plus 13 days. This will give you your answer of 21 days. Answer=D. 21 days
What is the measure of angle LMQ
Answer:
Option B, 42°
Hope this helps!
The measure of ∠LMQ = 42°.
What is an angle measure?When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.
In the ΔQMR,
The sum of all the angles is 180°.
65° + 45° + ∠RMQ = 180°
∠RMQ = 70°
In the ΔMNL,
The sum of all the angles is 180°.
65° + 45° + ∠LMN = 180°
∠LMN = 68°
That means,
measure of angle LMQ = 180° - ∠LMN - ∠RMQ
∠LMQ = 180° - 138°
∠LMQ = 42°
Therefore, ∠LMQ = 42°.
To learn more about the angle measure;
brainly.com/question/14684647
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