Answer:
Option A, (x + 6, y - 4)
Hope this helps!
Answer:
1st option
Step-by-step explanation:
Consider the coordinates of R and R'
R (2, 6 ) and R' (8, 2 )
R → R' in the x- direction is + 6 ( 2 to 8 )
R → R' in the y- direction is - 4 ( 6 to 2 )
Then the translation rule is
(x, y ) → (x + 6, y - 4 )
Which equation is true?
9 × 8 = 8 × 9 equation is true
Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it. You randomly ask 20 Greensboro voters whether they support the bond referendum. The standard error of the sample proportion is _____. The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is _____. Group of answer choices 0.0993; 0.6000 0.0993; 0.0951 0.1095; 0.1170 0.1095; 0.8830
Answer:
The standard error of the sample proportion is 0.0993.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
73% of voters support it.
This means that [tex]p = 0.73[/tex]
Sample of 20 voters
This means that [tex]n = 20[/tex]
Mean and standard deviation:
[tex]\mu = p = 0.73[/tex]
[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.73*0.27}{20}} = 0.0993[/tex]
The standard error of the sample proportion is 0.0993.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is
12/20 = 0.6, so this is the p-value of Z when X = 0.6.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.6 - 0.73}{0.0993}[/tex]
[tex]Z = -1.31[/tex]
[tex]Z = -1.31[/tex] has a p-value of 0.0951.
So
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
The standard error of the sample proportion is 0.0098.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951
Given that,
Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it.
You randomly ask 20 Greensboro voters whether they support the bond referendum.
We have to determine,
The standard error of the sample proportion is.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is .
According to the question,
There is a school bond referendum in Greensboro, and 73% of voters support it.
20 Greensboro voters whether they support the bond referendum.
To find standard deviation of sample proportion.
[tex]standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
Where, p = 73% = 0.73
And n = 20
Therefore,
[tex]Standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}\\\\ Standard \ deviation = \sqrt{\dfrac{0.73(1-0.73)}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.73\times 0.27}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.19}{20}}\\\\Standard \ deviation = 0.0098[/tex]
The standard error of the sample proportion is 0.0098.
The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is,[tex]\dfrac{12}{20 }= 0.6[/tex]
This is the p-value of Z when X = 0.6.
Therefore,
[tex]Z = \dfrac{X-\mu}{\sigma}\\\\Z = \dfrac{0.6-0.73}{0.993}\\\\Z = -1.31\\\\[/tex]
Z = -1.31 has a p-value of 0.0951.
Hence, The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.
To know more about Probability click the link given below.
https://brainly.com/question/24248147
Pls help I’ll brainlest hurry due in 3 minutes
Answer:
B
Step-by-step explanation:
MOVE TO THE RIGHT 9 TIMES!!
What are the coordinates of the image of ABC after a dilation with center (0, 0) and a scale factor of 1/2 ? Drag numbers to complete the coordinates. Numbers may be used once, more than once, or not at all.
Use numbers 1,2,3,4,5,6
Please help I will give 100 points.
Answer:
A(2,2) _scale factor ½--(1,1)
B(4,6)_scale factor ½--(2,3)
C(6,2)_scale factor ½--(3,1)
is a required coordinate
Scale factor=1/2
Apply and get new coordinates
A'=(1,1)B'=(2,3)C'=(3,1)What’s the correct answer??? I will mark as brainlest?
Answer:
t=0.15n
Step-by-step explanation:
I had it on a test and it was correct
3.75=0.15(25)
and when you times 0.15*25 it equals 3.75
A department store, on average, has a daily sales of $28,176.44. The standard deviation of sales is $1500. On Tuesday, the store sold
$34,083.30 worth of goods.
Find Tuesday's z score
Answer:
You are t subtract both 28,176.44-$1500
Step-by-step explanation:
right after that the answer you get for subtraction you go ahead and use it to subtract with 34,083.30
Find the volume of the
triangular prism.
3.2 cm
9 cm
4.8 cm
Answer:
53.76 cm3
Step-By-Step Explanation
Mama kupiła szampon do włosów, mydło i krem do rąk. Za te zakupy zapłaciła 19 zł. Szampon kosztował o 7 zł więcej niż mydło, a krem do rąk był cztery razy droższy niż mydło.
Ile kosztowała każda z rzeczy zakupionych przez mamę? Ułóż odpowiednie równanie i je
rozwiąż.
Answer:
you language is i don't know
Step-by-step explanation:
for now I did
Solve for x.
Your answer must be simplified.
х
--30 <
-4.
First to answer correctly is Brainlyest
Answer:
x < 26
Step-by-step explanation:
Given the following algebraic expression;
x - 30 < -4
To find the value of x in its simplest form;
First of all, we would have to rearrange the algebraic expression to make the variable on one side and the integer on the other side;
Simplifying an expression simply means to collect like terms that are having the same variables or constants and combining them, so as to reduce the expression to the lowest possible value.
x < -4 + 30
x < 26
Find the area of the parallelogram shown below 5 3
Answer:
15 square units
Step-by-step explanation:
If you were to cut off the bottom triangle (separated by the dotted line), and put it on top of the other triangle, you would get a rectangle.
All you have to do is length x height
5 x 3 = 15
у= 3х-5
у = 3х+12
Please help ASAP for my lil sister
Answer:
0
Step-by-step explanation:
The equation is undefined.
Here’s the next problem:)
Answer:
disagree
Step-by-step explanation:
toa=opposit over adjacent= 12/9
tan(x)=12/9
tan^-1=12/9
x= 53.1
Answer:
Disagree
Step-by-step explanation:
x actually equals 53.13
A flashlight flashes every 45 seconds. After 10 ½ minutes, how many times does the light flash?
Answer:
14
Step-by-step explanation:
Answer:
14 flashes.
Step-by-step explanation:
1 minute = 60 seconds
x minutes = 45 seconds.
1/x = 60/45 Cross multiply
60x = 45 Divide by 60
x = 45/60
x = .75
10 1/2 minutes = 10.5 minutes.
x flashes / 10.5 minutes = 1 flash / 0.75 minutes Multiply by 10.5
x = 10.5/0.75
x = 14
Two angles in a triangle measure 102° and 54º. What is the measure of the third angle?
Answer:
24°
Step-by-step explanation:
The sum of all interior angles of a triangle always equal to 180°.
There are two givens in the problem. Set up the equation by equaling 180 to the two given angles and the unknown.
[tex]180 = 102 + 54 + x\\180 = 156 + x\\[/tex]
Isolate x by subtracting 156 to both sides.
[tex]180 - 156 = 156 - 156 + x\\x= 180-156\\x=24\\[/tex]
solve for x?
A. 2
B. 15
C. 50
D. 10
Answer:
Is it C. 50
Step-by-step explanation:
Answer:
Easy is 15 bc 15 and 10 are in a 5 equal to 5 x 2 10 and you take the 5 away from the 50 and so its 15 trust
Step-by-step explanation:
If r= 1 and 0 = 5π/4, what is the approximate arc length?
===============================================
Work Shown:
L = theta*r
L = (5pi/4)*1
L = 5pi/4
L = 3.92699081698724 approximately
L = 3.927 units
The formula above only works if theta is in radians.
If the angle is in degrees, then you need to convert using the rule
y = (pi/180)*x
where x is the angle in degrees and y is the equivalent angle measure in radians.
In the fourth step, I used my calculator to get that value. You could use pi = 3.14, but in this case, your teacher wants you to use the stored value of pi found in the calculator.
---------------------------
Extra info (optional section):
If you're curious why that formula works, then consider a circle with circumference C = 2*pi*r. This is the distance around the circle, aka the perimeter.
The arc length in red is only a fractional portion of the full perimeter. Specifically, that fractional amount is theta/2pi. We multiply this fraction by the full perimeter and simplify
L = arc length
L = (full circle circumference)*(fractional amount)
L = (2*pi*r)*(theta/2pi)
L = theta*r
The "2pi" terms cancel in the last step. Again, this formula only works if theta is in radians. This is due to the fractional portion theta/2pi.
There is an equivalent formula for theta being in degrees, which is
L = (theta/360)*2*pi*r
but this version is a bit messier in my opinion.
Answer:3.927
Step-by-step explanation:
6. One week, Sam wrote a check for $8.75, deposited $4.50, and wrote another check for $2.50. What was the change to Sam's bank accountant that week?
Answer: - $6.75
Step-by-step explanation:
Which one of these diagrams shows its reference angle in standard position?
Answer:
A
Step-by-step explanation:
MARK AS BRAINLIEST!!
Which graph represents exponential decay?
80
80
80
180
80
60
60
40
60
40
20
90
40
20
20
20
2.
2
3
3
2 3
e
Answer:
d
Step-by-step explanation:
Select all ratios equivalent to 8:16.
14:12
13:32
3:6
Answer:
3:6
Step-by-step explanation:
8:16 is a 1/2 ratio
The following confusion matrix for a classification method with Class 0 and Class 1 was found by Data Mining: Confusion Matrix Predicted Class Actual Class 0 1 0 105 53 1 32 110 What are the percent error rates for Class 0 and Class 1? a. 31.65% and 22.54%, respectively b. 33.54% and 22.54%, respectively c. 10.71% and 41.25%, respectively d. 45.37% and 46.67%, respectively
Answer:
b. 33.54% and 22.54%, respectively
Step-by-step explanation:
Confusion Matrix
Predicted Class
Actual Class 0 1 Total
0 105 53 158
True Positive False Negative
TP FN
1 32 110 142
False Positive True Negative
FP TN
Total Error Rate = FN +FP/ P +N
Total Error Rate = 53+32/ 105+32+53+110
Total Error Rate = 85/300 = 28.33%
Error Rate for Class 0 = FP/ FP+TP= 32/142 = 22.53%
Error Rate for Class 1= FN/ FN+TP= 53/ 158= 33.54%
Help !!!! I don’t understand
Answer:
[tex](g\ o\ f)=-20x+10[/tex]
Step-by-step explanation:
One is given the following functions:
f(x) =5x + 2
g(x) = 4x + 2
One is asked to find the following:
[tex](g\ o\ f)(x)[/tex]
One can rewrite this operation as the following:
g(f(x))
In essence, one substitutes in function (g) in place of the parameter (x), and solves to find the new function formed.
[tex]g(f(x))\\\\=g(-5x+2)\\\\=4(-5x+2)+2[/tex]
Simplify, distribute, multiply every term in the parenthesis by the term outside of it, then simplify,
[tex]=-20x+8+2\\\\=-20x+10[/tex]
Each day 1/2 of the money that is in a bank is removed .no money is added to the vault .which of the following models the situation
What Is 3/4x1/3? Please Help Quick
Answer:
1/4
Step-by-step explanation:
For this, think of dividing 3/4 into 3 parts, each of them being 1/3 of the original amount.
With this, it would be 1/4, as 1/4 + 1/4 + 1/4 = 3/4.
PLEASE HELP ASAP (:
Fill in the blank to complete this trig
ratio.
sin a =
Answer:
Sin(a)= [tex]\frac{z}{x}[/tex]
Hope this helps!
Which of the following is NOT a way to write a probability?
O Decimal
O Percent
O Fraction
O Mr. Eisenberg
CAN SOME OME ANSWER A AND B PLEASE!!z
If you invest $2500 at a rate of 3.5%, how much money will be in the
account after 10 years if it is compounded yearly?
Answer:
A = $3,526.50
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = [tex]\frac{R}{100}[/tex]
r = [tex]\frac{3.5}{100}[/tex]
r = 0.035 rate per year,
Then solve the equation for A
A = P(1 + [tex]\frac{r}{n}[/tex])nt
A = 2,500.00(1 + [tex]\frac{0.035}{1}[/tex])(1)(10)
A = 2,500.00(1 + 0.035)(10)
A = $3,526.50
Hence:
The total amount of over 10 years is $3,526.50.
the width of a rectangular yard is 3 yards more than twice its length. the perimeter of the garden is 192 yards
Answer:
Step-by-step explanation:
W = 2L + 3, and:
P = 2W + 2L = 192
Substituting 2L + 3 for W, we get:
P = 2(2L + 3) + 2L = 192, or
4L + 6 + 2L = 192, or:
6L = 186
L = 186/6 = 31
The length is 31, the width is 62 + 3, or 65
Therefore, the perimeter P is P = 2(31) + 2(65) = 130 + 62 = 192 (OK!)
If f(x) = x3 – 6x2 – 45x + 50 and X – 10 is a factor of f(x), then find
all of the zeros of f(x) algebraically.
Answer:
x = 1 or x = -5 or x = 10
Step-by-step explanation:
f(x) = x³ – 6x² – 45x + 50 = (x² + 4x -5) (x - 10) = (x - 1) (x + 5) (x - 10)
(x - 1) (x + 5) (x - 10) = 0
x = 1 or x = -5 or x = 10