Answer:
(x+8)² + (y - 9)² = 100Step-by-step explanation:
The general equation of a circle is expressed as;
(x-a)² + (y - b)² = r² where;
(a, b) is the centre of the circle
r is the radius
Given
Centre (-8, 9) where a = -8, b = 9
radius r = 10
Substitute into the formula to get the required equation;
(x-(-8))² + (y - 9)² = 10²
(x+8))² + (y - 9)² = 10²
(x+8)² + (y - 9)² = 100
Hence the required equation is (x+8)² + (y - 9)² = 100
A report included the following information on the heights (in.) for non-Hispanic white females.
Sample Sample Std. Error
Age Size Mean Mean
20–39 868 65.9 0.09
60 and older 934 64.3 0.11
(a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use μ20–39 − μ60 and older.) , Interpret the interval
(b) Let μ1 denote the population mean height for those aged 20–39 and μ2 denote the population mean height for those aged 60 and older. Interpret the hypotheses H0: μ1 − μ2 = 1 and Ha: μ1 − μ2 > 1.
Carry out a test of these hypotheses at significance level 0.001. Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)
(c) Based on the P-value calculated in (b) would you reject the null hypothesis at any reasonable significance level? Explain your reasoning.
(d) What hypotheses would be appropriate if μ1 referred to the older age group, μ2 to the younger age group, and you wanted to see if there was compelling evidence for concluding that the population mean height for younger women exceeded that for older women by more than 1 in.?
Following are the solution to the given points:
In point a:
When 95% are confidence interval:
[tex]=( \mu_{20-39} - \mu_{60})+(-z_{0.025})((0.09)^2+(0.11)^2)^{0.5} \\\\= (65.9-64.3)+(-1.96) \times 0.14213\\\\=(1.3214, 1.8786)[/tex]
In point b:
[tex]H_0: \mu_1 - \mu_2 =1\\\\ H_a: \mu_1 - \mu_2 > 1[/tex]
In the Z test statistic:
[tex]= \frac{((65.9-64.3)-1)}{((0.09)^2+(0.11)^2)^{0.5}} \\\\= 4.22 \\\\\to p= 0.000012[/tex]
In point c:
The rejection value of the null hypothesis as [tex]p< 0.001[/tex]
In point d:
[tex]H_0: \mu_2 -\mu_1 = 1 \\\\H_a: \mu_2 - \mu_1 > 1[/tex]
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Which of the following angles would not be congruent to the measure of ∠7? HELPPP!!!
Answer:
6, 2, & 3
Step-by-step explanation:
I hope that this answer helps, feel free to ask questions
Determine if the inverses listed for each function are correct or not. Select Correct or Incorrect for each function and inverse.
Function and Inverse
Correct
Incorrect
Rx) = 3x
O
Rx) = 3x + 7
F(x) = x - 3
VX-6
x =
O
O
Answer:
Step-by-step explanation:
1). f(x) = 3x⁵
Step - 1
Convert the given function in the form of an equation.
y = 3x⁵
Step - 2
Interchange x by y.
Step - 3
Solve the equation for y
x = 3y⁵
y⁵ = [tex]\frac{x}{3}[/tex]
[tex]y=\sqrt[5]{\frac{x}{3}}[/tex]
Step - 4
Convert the equation into function.
[tex]f^{-1}(x)=\sqrt[5]{\frac{x}{3}}[/tex]
Correct.
2). f(x) = 3x + 7
Step - 1
y = 3x + 7
Step - 2
x = 3y + 7
Step - 3
3y = x - 7
y = [tex]\frac{1}{3}(x-7)[/tex]
Step - 4
[tex]f^{-1}(x)=\frac{1}{3}(x-7)[/tex]
Correct.
3). f(x) = 6 + 4x³
Step - 1
y = 4x³ + 6
Step - 2
x = 4y³ + 6
Step - 3
y = [tex]\sqrt[3]{\frac{1}{4}(x-6)}[/tex]
Step - 4
[tex]f^{-1}(x)=\sqrt[3]{\frac{1}{4}(x-6)}[/tex]
Incorrect.
Please help its very important to me ( dont guess or steal) ( give proof of answer for brainiest)
Answer:
I say A if you need anymore help just tell me!!!
The perimeter of a rectangle is to be no greater than 100 centimeters and the length must be 35 centimeters. Find the maximum width of the rectangle.
The rest of the problem that is needed to be solved is in the image.
Answer:
x= 32.5+32.5+35=100 just subtract 35 from 100 witch gives you 65 dived that by 2 witch gives you 32.5
Graph the equation Y= 2/9 |x|
Answer:
go over to the right 2 times and then go up 9 times : )
Step-by-step explanation:
good luck and hope this helps
PLEASE HELP
Which of the following sets of ordered pairs represents a function?
A.
{ (0, -6), (11, -6), (0, -6), (-6, 11) }
B.
{ (-6, 6), (-6, 9), (-6, 0), (9, -6) }
C.
{ (6, 11), (6, 1), (0, 0), (8, 13) }
D.
{ (6, -6), (9, -6), (0, -6), (-6, 9) }
Answer:
it's D
hdhdndndnndhd
fhhdhdhdndndhfhsjajsg
Use the zero product property to find the solutions to the equation x^2-15x-100=0
Ox=-20 or x = 5
Ox=-20 or x =-5
Ox=-5 or x = 20
Ox= 5 or x=20
Answer:
C. x=-5 or x=20
Step-by-step explanation:
Factor [tex]x^{2}[/tex]-15x−100 using the AC method
(x-20)(x+5)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0
x−20=0
x+5=0
Set x−20 equal to 0and solve for x
x=20
Set x+5 equal to 0 and solve for x
x=−5
The final solution is all the values that make (x−20)(x+5)=0 true. The multiplicity of a root is the number of times the root appears.
x=20(Multiplicity of 1)x=−5 (Multiplicity of 1)
The solutions to the equation x² - 15x - 100 = 0 are:
x = 20 and x = -5.
What is a solution?Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.
We also find the solution in a system of equations using the substitution or elimination method.
Example:
2x + 4 = 8
The solution is x = 2.
We have,
To use the zero product property to solve the equation:
x² - 15x - 100 = 0.
Factor the left-hand side of the equation:
(x - 20)(x + 5) = 0
Apply the zero product property, which states that if the product of two factors is zero, then at least one of the factors must be zero:
x - 20 = 0 or x + 5 = 0
Solve for x in each equation:
x - 20 = 0
x = 20
x + 5 = 0
x = -5
Therefore,
The solutions to the equation x² - 15x - 100 = 0 are:
x = 20 and x = -5.
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Figure A is a scale image of Figure B.
12.5
2
Figure A
5
Figure B
What is the value of x?
Answer:
x=5
Step-by-step explanation:
figure A is 2/5 of figure B therefore x=5
Solve the equation 3(x +4.5) = 36
If you get stuck use the hanger diagram to help yo
Х
4.5
Х
36
4.5
Х
4.5
Answer:
x=7.5
Step-by-step explanation:
The Gophers won 2/3 of their games. The Rattlers
won half of their games. Together, the teams
won 56 games. Both teams played the same
number of games. How many games did each
team win?
Answer:
48
Step-by-step explanation:
The silmutenous equations
2/3x + 1/2y = 56
X=y
Write an equation of the line with the given slope and y-intercept.
slope: 1
y-intercept: -6
Help
What is the surface area of this cylinder?
Use a ~ 3.14 and round your answer to the nearest hundredth.
10 cm The radius
9 cm. The height
square centimeters
Please help I need it plz I will give u the brainlyes
Answer:
1,193.805 cm^2
Step-by-step explanation:
formula for surface area of a cylinder: 2(pi)(r)(h)+2(pi)(r^2)
X is normally distributed random variable with mean 63 and standard deviation 6, the probability that X lies between 45 and 81 is
Answer:
P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Step-by-step explanation:
Mean = 63
Standard Deviation =6
We need to find probability that X lies between 45 and 81 i.e P(45<X<81)
First we will find z-score for X=45 and X=81
For X=45 the z-score can be found using formula: [tex]z-score=\frac{X-\mu}{\sigma}[/tex]
Putting values and finding z-score
[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{45-63}{6}\\z-score=-3[/tex]
For X=45, z-score is -3
For X=81 the z-score can be found using formula: [tex]z-score=\frac{X-\mu}{\sigma}[/tex]
Putting values and finding z-score
[tex]z-score=\frac{X-\mu}{\sigma}\\z-score=\frac{81-63}{6}\\z-score=3[/tex]
For X=81, z-score is 3
Now finding the probability of P(-3<z<3)
It can be solved as:
P(-3<z<3)=P(z<3)-P(z<-3)
Looking at the z-score table to find
P(z<3)= 0.9987
P(z<-3)=0.0013
So, P(-3<z<3)=P(z<3)-P(z<-3)
P(-3<z<3)=0.9987 - 0.0013
P(-3<z<3)=0.9974
or P(-3<z<3)= 99.74%
So, P(45<X<81) = P(-3<z<3)=0.9974 or 99.74%
Please help
I think i have the correct answers for 1 and 3 but I'm getting confused it 2.
Consider the standard form of an exponential function:
1. How does changing the base number (inside the parentheses) change your
graph? (10 points)
2. How does changing the number outside the parentheses change your
graph? (10 points)
3. Create three new exponential equations to represent Alison, Cindy, and
Javier. (30 points)
Alison loves social media and likes for her posts to be shared as much as
possible while Cindy and Javier prefer for their posts to stay amongst their
friends primarily
Answer:
It's a vertical stretch.
Step-by-step explanation:
Which Inequality is equivalent to the given inequality?
-4(x + 7) <3(1 - 2)
OA. -73 < 22
OB. -77 > -34
OC. -71 < -34
OD. -70 > 22
Answer:
[tex]-7x < 22[/tex]
Step-by-step explanation:
Given
[tex]-4(x + 7) <3(x - 2)[/tex]
Required
Determine its equivalent
[tex]-4(x + 7) <3(x - 2)[/tex]
Start opening the brackets:
[tex]-4x - 28 < 3x - 6[/tex]
Collect Like Terms
[tex]-4x - 3x < 28 - 6[/tex]
Add and subtract like terms
[tex]-7x < 22[/tex]
-12+x-34=60
If you like this question please rate this five stars!
Thank you!
Answer:
x=106
Step-by-step explanation:
Let's solve your equation step-by-step.
−12+x−34=60
Step 1: Simplify both sides of the equation.
−12+x−34=60
−12+x+−34=60
(x)+(−12+−34)=60(Combine Like Terms)
x+−46=60
x−46=60
Step 2: Add 46 to both sides.
x−46+46=60+46
x=106
PLS HELP I NEED HELP
Answer:
8
Step-by-step explanation:
What’s the answer for this?
Answer: That is the answers.
Step-by-step explanation:
Calculate the median of the dataset 5, 10, 12, 4, 6, 11, 13, 5
Answer: 8
Step-by-step explanation:
Median is the middle number of the set of numbers (layed out smallest to biggest)
4, 5, 5, 6, 10, 11, 12, 15
There are 8 numbers meaning the middle numbers are 6 and 10, so inbetween 6 and 10 is 8 so the median is 8
Step-by-step explanation:
Median = 8
Have a good day..
Winston deposited $3,294 in a bank account with an annual interest rate of 2.6%. How much interest was earned in 5
years? Round your answer to two decimal places.
Answer:
$4282.20
Step-by-step explanation:
$3294*0.26=856.44
856*5=4282.20
HELP ASAP giving brainlist!!!
Answer:
I would say its given because all of the sides are the same
Step-by-step explanation:
Kameron who is 4.5 feet tall , is outside during recess
Answer: I'm not sure i understand. Are you asking a question or is this just a statement
Step-by-step explanation:
2. Briana goes to the store and buys 12 items. If
each item is $3.25, what is her total bill without
tax?
Answer:
12*3.25=39
Step-by-step explanation:
u multiply 12 by 3.25 and then u get ure answer witch is 39!!
Please answer this math question ( I NEED IT ASAP )
Answer:
hmmm yes as it seems you have caught a albert einstein question and tbh ion know what that is lol gl
Step-by-step explanation:
Looking at the means of these samples, which value is most likely to be the mean of the population from which the
samples were taken?
Answer:
Sample Number Sample Mean
1 11.8
2 12.5
3 15.1
4 14.3
5 13.0
6 12.9
7 10.2
8 11.5
9 12.9
10 15.4
Now the most likely mean of the population can be found by finding the mean of given sample means. It is given below:
Therefore, the most likely mean of the population from which the samples were taken is 12.96.
Answer:
12.9
Step-by-step explanation:
7:8, 14:16, 21:24, and 28:32 are equivalent ratios, 50, 78 14 16 21 = 28 32 24 Use division to find all the whole number ratios that are equivalent to 24:96 The common factors of 24 and 96 PREMIER
Answer:
yipgiydlilyzljt
hhhfguiihitezkgdzogdzlutzohodzhfzhoyd
help plssssss 10 if corret
By using algebra properties for rational numbers, the expression - (3 / 8) · [(3 / 5) · (- 5 / 6)] is equivalent to the fraction 9 / 16.
How to simplify a product of fractionsHerein we find a product of three fractions which has to be simplified into a single fraction by using algebra properties for rational numbers. The complete procedure is shown below:
- (3 / 8) · [(3 / 5) · (- 5 / 6)] Given
[(- 3 / 8) · (- 5 / 6)] · (3 / 5) Associative and commutative properties
[(3 / 8) · (5 / 6)] · (3 / 5) (- a) · (- b) = a · b
(15 / 16) · (3 / 5) Multiplication of fractions
45 / 80 Multiplication of fractions
9 / 16 Simplification of a fraction / Result
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if 1.24×0.94 correct to 2 significant
Answer:yes
Step-by-step explanation:yes
What is over 1/3÷1/4?
Answer:
4/3
Step-by-step explanation:
Answer:
this is the correct answer 4/3