Answer:
19
Step-by-step explanation:
A polygon is graphed on a coordinate plane, with a vertex located at
a point represented by (x,y).
The polygon is dilated with a scale factor, a , with the origin as the
center of dilation. The dilated image of the polygon is larger than
the polygon.
Which statement is true?
Answer:
a is greater than 1
Step-by-step explanation:
Let the two polygons be represented as A and B.
Where A is the original polygon and B is the image of A
Such that
Polygon A has vertex (x,y) and scale factor = a
From the question, we understand that polygon B is bigger than A
When the dilated image (polygon B) is bigger than the original image (polygon A), then the scale factor is greater than 1.
Take for instance.
One of the coordinate point of polygon A is (2,4)
The corresponding coordinate point of polygon B will be greater than (2,4) because a is greater than 1.
Take a as 2:
The corresponding point on Polygon B would be 2 * (2,4) = (4,8)
Basic Computation: Testing M1 2 M2 A random sample of 49 measurements from a population with population standard deviation 3 had a sample mean of 10. An independent random sample of 64 measurements from a second population with population standard deviation 4 had a sample mean of 12. Test the claim that the population means are different. Use level of significance 0.01. (a) Check Requirements What distribution does the sample test statistic follow
Answer:
The sample statistics follows a standard normal distribution since the sample size are large enough.
Step-by-step explanation:
Given that:
First population:
Sample size [tex]n_1[/tex] = 49
Population standard deviation [tex]\sigma_1[/tex] = 3
Sample mean [tex]\overline x _1[/tex]= 10
Second population:
Sample size [tex]n_2[/tex] = 64
Population standard deviation [tex]\sigma_2[/tex]= 4
Sample mean [tex]\overline x_2[/tex]= 12
The sample statistics follows a standard normal distribution since the sample size are large enough.
The null and alternative hypotheses can be computed as:
[tex]\mathbf{H_o:\mu_1=\mu_2}[/tex]
[tex]\mathbf{H_1:\mu_1\ne\mu_2}[/tex]
Level of significance = 0.01
Using the Z-test statistics;
[tex]Z = \dfrac{\overline x_1 - \overline x_2}{\sqrt{\dfrac{\sigma_1^2}{n_1} + \dfrac{\sigma_2^2}{n_2}}}[/tex]
[tex]Z = \dfrac{10- 12}{\sqrt{\dfrac{3^2}{49} + \dfrac{4^2}{64}}}[/tex]
[tex]Z = \dfrac{-2}{\sqrt{\dfrac{9}{49} + \dfrac{16}{64}}}[/tex]
[tex]Z = \dfrac{-2}{\sqrt{0.18367 +0.25}}[/tex]
[tex]Z = \dfrac{-2}{\sqrt{0.43367}}[/tex]
[tex]Z = \dfrac{-2}{0.658536}[/tex]
Z = - 3.037
Z [tex]\simeq[/tex] - 3.04
The P-value = 2P (z < -3.04)
From the z tables
= 2 × (0.00118)
= 0.00236
Thus, since P-value is less than the level of significance, we fail to reject the null hypotheses [tex]H_o[/tex]
What is the result of 60-15? Use the model to find the answer. A 4 B 5 C 12 D 20
Answer:
its a).4
Step-by-step explanation: 60 divided by 15= 4 you can use a calculator to check if im right if you dont trust me
The answer would be 4 if the number expression is 60 ÷ 15 after using the arithmetic operation, option (A) 4 is correct.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.
It is given that:
The number expression is:
60 ÷ 15
Using model:
= (15 + 15 + 15 + 15) ÷ 15
= 1 + 1 + 1 + 1
= 4
Thus, the answer would be 4 if the number expression is 60 ÷ 15 after using the arithmetic operation, option (A) 4 is correct.
Learn more about the arithmetic operation here:
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How long will it take to pay off 47,538 with only 4,782 per month?
Please HELPPPP
Answer:
9.9 months not counting mortgage or any other factors
Step-by-step explanation:
....................................
Answer:
uuuhhhh well i think B maybe
Answer: B
Step-by-step explanation: hope it helps :)
Which expression are equivalent to 4m + 12?
Answer:
2(2m+6) or 4(m+3)
Step-by-step explanation:
answers can vary, but I would go with the second one becuase it's always best to distribute the greatest common factor.
Answer:
4(m+3) and 6m- 2m + 12
Step-by-step explanation:
A Polynomial, p(x), has zeros when x = -2, x = 1/3, X = 3. What could be the equation of p(x)?
Answer:
(x+2)(x-1/3)(x-3)
Step-by-step explanation:
This could be a possible equation, the signs of the of the roots are always the opposite in the equation form.
Given ΔABC, m∠C = 90° , m∠ ABC = 30° , AL ∠ Bisector CL = 6ft. Find LB (Feet)
WILL GIVE BRAINLIEST!!
Answer:
The Answer is 12 feet
Step-by-step explanation:
This is my second account lol I just wanted to give Angie the brainliest!
Answer:
10 feet
Step-by-step explanation:
Divide. Write the quotient in lowest terms.
2 1/2 divided by 2 2/3
Answer: 15/16
Step-by-step explanation:
2 1/2 --> 5/2
2 2/3 --> 8/3
5/2 / 8/3
15/6 / 16/6
15. 16
6 6
6*15 ÷ 16*6
90 / 96
hange each decimal or mixed decimal to a percent.
a. 0.73
b. 0.023
c. 0.176
d. 2.415
Answer:
a. 73 percent
b. 2.3 percent
c. 17.6 percent
d. 241.5 percent
Step-by-step explanation:
1/13 times 1/2.54 show your work
Answer:
0.03028467595
Step-by-step explanation:
calculator?
ANSWER ASAP AS MANY AS YOU CAN ITS FOR FINALS
Name the relationship complementary,
linear pair, vertical, zen, strate interior corresponding, or alternate conio 1) 2) 3) 4)
can you understand ........
Representative: “I am planning to attend a company-paid conference. My charges will include $412.00 for airfare, $378.00 for conference registration, and $210.00 for food.” Supervisor: “Please submit an expense form for a total of __________ when you return.”
When he returns, the total will be "$1,000".
Given charges are:
For airfare,
= $412.00
For conference registration,
= $378.00
For food,
= $210.00
The total charges will be:
= [tex]Airfare+Conference \ registration+Food[/tex]
= [tex]412+378+210[/tex]
= [tex]1,000[/tex] ($)
Thus $1,000 is the right answer.
Learn more:
https://brainly.com/question/18057159
time. weight
8. 0.04
9. 0.07
10. 0.14
11. 0.25
12. 0.49
what is the average rate of change in weight of the plankton from week 8 to week 12?
A) 0.0265
B)0.0375
C)0.055
D)0.1125
Answer:D
Because 0.49/12 -0.04/8 = 0.1125
in a right triangle the length of a hypotenuse is c and the length of one leg is a, and the length of the other leg is b what is the value of b, if c=13, a=12?
Answer:
5
Step-by-step explanation:
a=12 (height)
c=13 (hypotenous)
b=? (base)
By using Pythagoras theorm
We have, hypotenous sq=base sq+height sq
Let b =base SO, base sq=hypotenous Sq-height Sq
=>base Sq =13sq-12sq
Base Sq =169-144
Base Sq =25
Base =5 (shifting the sq)....
Hope it's helpful
Can you please answer number 23. And number 24.
Please please show me how to do it and tell me the answers
Answer:24 is 34miles per hour
Step-by-step explanation:
Answer:
1st
A pound is defined as exactly 0.45359237 kilograms.
so 50 x 0.45359237 = 22.679619 Kilograms
2. 55km to miles = 34.16
for an approximate result, divide the length value by 1.609
Step-by-step explanation:
Select all graphs that represent functions
Answer:
where is the functions
Step-by-step explanation:
plz help! will give brainliest!!!
Answer:
A.
Step-by-step explanation:
It has both in it, so its correct
What is the present value of ₱30,000 due in 27 months at 3% compounded annually?
Answer:
32,063.06
Step-by-step explanation:
the formula for compound interest: [tex]A = P(1+\frac{r}{n})^{nt\\}[/tex]
so to use this you are essentially solving for a.
p is the principle (or initial) amount deposited.
r is the rate (in percent)
n is the number of time periods compounded (like annually, monthly, weekly, or daily)
t is the time period (in years)
In this instance the formula looks like: [tex]A = 30,000(1+\frac{0.03}{1})^{1*2.25}[/tex]
You then solve for A using the formula. It is important to remember to use the order of operations
Box 1:
Dimensions: x by 3x by x
Area of base =x(3) = 3r?
Dimensions: x by 4x-1 by x
Area of base = x(4x-1) = 41²-x
Answer:
1. monomial
2. binomial
Step-by-step explanation:
Box 1's volume will be a monomial
Box 's volume will be a binomial
What is the equation in slope-intercept form of the line that passes through the point (6, 1) and is parallel to the line represented by
y = -3x + 2?
Enter your answer by filling in the boxes.
find the sum of (2c+6)+3(c+8) pls help me for 15 points and a brainiest!!!
Answer:
(2c+6)+3(c+8)
=2c+6+3c+24
=5c+30
A store manager purchases a DVD for $15. He marks it up to $21.75 in order to make a profit. What is the percent of increase?
A right triangle has an area of 36 square units.
If you draw scaled copies of this triangle using the scale factors in the table, what will the areas of these scaled copies be?
Answer:
the answer is 4
x - 2y =0
3x + y = 0
solve using the substitution method
to solve the linear system
Answer:
x=0, y=0
Step-by-step explanation:
① Label the 2 given equations.
x -2y= 0 -----(1)
3x +y= 0 -----(2)
② Make x the subject of formula in equation (1).
From (1): x= 2y -----(3)
③ Substitute equation (3) into (2):
3(2y) +y= 0
Expand:
6y +y= 0
Simplify:
7y= 0
y= 0
④ Find x.
Subst. y=0 into (3):
x= 2(0)
x= 0
PLEASE HELP if you help you like to play among us
Subtracting a number is the same as adding its opposite.
Use this understanding to complete each of the equations below.
CLEAR CHECK
Answer:
-5 - (-7) = -5 + -7
= 2
-5 - 7 = -5 + -7
= -12
I need help with this
Answer:
A
Step-by-step explanation:
process of elimination... :D
0.25 of 40 plz plz help
Help me please asap on a time limt
Answer: 51 grams
Step-by-step explanation:
Plug in 60 for t and calculate
A rotating wind turbine has a diameter of about 145 feet and its circumference is about 456 feet. A smaller model of the turbine has a circumference of about 16 feet. What will the diameter of the model be? If necessary, round to the nearest whole number.
The diameter of the model will be about ___ feet
Answer:
ross-multiplication.
circumference divided by the diameter
10/x = 580/185
10x185=1850
1850/580=3.189
Step-by-step explanation:
give me brainliest
Answer:
7 feet.
Step-by-step explanation:
Solve
Set up a proportion using the given information for the turbine and its model.C /d =
C /d
Set up a proportion.660 /210 =
22/ d
Substitute the given values.660 ÷ 30
210 ÷ 30 ≈
22/ d
Since 660 divided by 30 is approximately 22, divide 210 by 30 to find the value of d.
660 /210 ≈
22/ 7
d ≈ 7
The diameter of the model is approximately 7 feet.