Answers
Step-by-step explanation:
V(-2,1)
U(1,3)
E(0,1)
the dilation is by 1/2 so multiply all numbers by a half, hope you pass!!
Related Questions
In a cinema hall a total of 215 tickets were sold. Some were sold at $8 and others at $12. If the total amount collected was 2180, how many $8 tickets were sold
Answers
Answer: 100 tickets.
Step-by-step explanation:
Number of $8 tickets sold = xNumber of $12 tickets sold = ySet up two equations: one representing total amount sold and another representing total dollars earned.
[tex]\left \{ {{x+y=215} \atop {8x+12y=2180}} \right.[/tex]
Rearrange x + y = 215 and find the value of x:
[tex]x+y=215\\x=215-y[/tex]
Substitute it into the other equation and solve for y:
[tex]8x+12y=2180\\8(215-y)+12y=2180\\1720-8y+12y=2180\\4y=2180-1720\\4y=460\\y=\frac{460}{4} =115[/tex]
Substitute in the y-value to the other expression to find x:
[tex]x+y=215\\x+115=215\\x=215-115=100[/tex]
Therefore, they sold 100 of the $8 tickets.
Based on information from a large insurance company, 68% of all damage liability claims are made by single people under the age of 25. A random sample of 53 claims showed that 41 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company
Answers
Answer:
No, it doesn't indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company
Step-by-step explanation:
Let's first state the hypotheses.
Null hypothesis; H0: p = 0.68
Alternative hypothesis; Ha: p > 0.68
A random sample of 53 claims showed that 41 were made by single people under the age of 25.
Thus; p^ = 41/53 = 0.7736
Let's find the test statistic from the formula;
z = (p^ - p_o)/√(p_o(1 - p_o)/n)
z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)
z = 0.0936/0.07285
z = 1.28
From online p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;
P(z > 1.28) = 0.100273
The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.
In a right angle triangle ABC angle B=90⁰ and AB+BC= 31cm AB-BC=17 cm the find sinA,cosA,sinC,cosC.
Answers
Answer:
see explanation
Step-by-step explanation:
Given
AB + BC = 31
AB - BC = 17
Add the 2 equations
2AB = 48 ( divide both sides by 2 )
AB = 24
Substitute AB = 24 into the first equation
24 + BC = 31 ( subtract 24 from both sides )
BC = 7
Using Pythagoras' identity to find the hypotenuse AC
AC² = AB² + BC² = 24² + 7² = 576 + 49 = 625 ( take square root of both sides )
AC = [tex]\sqrt{625}[/tex] = 25
Then
sinA = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{7}{25}[/tex]
cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{24}{25}[/tex]
sinC = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{24}{25}[/tex]
cosC = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{7}{25}[/tex]
In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears. A group of students performs the experiment 21 times, with these results.
6 4 5 6 5 6 4 6 2 4 3 4 5 7 5 8 7 5 3 5 5
Construct a dotplot with these data and then identify the dotplot you created.
Answers
Answer:
The average, mode, and median of the results are 5, meaning that half of the time the quarter will land on heads.
Step-by-step explanation:
The required dot plot shows the result of the experiment performed by flipping a quarter 21 times.
In an experiment, a student is to flip a quarter 10 times and record the number of times heads appears. A group of students performs the experiment 21 times, with these results. 6 4 5 6 5 6 4 6 2 4 3 4 5 7 5 8 7 5 3 5 5.
What is arithmetic?
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
What is Statistic?Statistics is the study of mathematics that deals with relations between comprehensive data.
Here,
The dot plot has been made, for the number of outcomes and their frequencies. The dot plot gives the info about the mean mode and median.
Thus, the required a dot plot showing the result of the experiment performed by flipping a quarter 21 times.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Which of the lists of letters all have line symmetry?
1. (A, B, C, D)
2. (W, X, Y, Z)
3. (L, M, N, O)
4. (S, T, U, V)
Answers
Answer:
The first row
Step-by-step explanation:
Letters A,B,C,D
==================================================
Explanation:
Check out the diagram below to see where the lines of symmetry are located.
For the letter A, we have a vertical line through the center that is the mirroring line. Reflecting one half over that line generates the other half.
For letter B, we have a horizontal line through the center. This applies to letters C and D as well.
This is why answer choice 1 is the final answer.
-----------
For letter Z, we have neither a vertical nor a horizontal mirror line. This letter doesn't have any lines of symmetry (though it does have rotational symmetry). So we can rule out answer choice 2.
Letter N is pretty much the same idea as letter Z. There aren't any lines of symmetry but we do have rotational symmetry. So we can rule out answer choice 3.
Lastly, we can rule out answer choice 4 because letter S has the same properties as letters Z and N.
The probability of drawing a red candy at random from a bag of 25 candies is 2/5. After 5 candies are removed from tehe bag, what is the probability of randomly drawing a red candy from the bag?
Answers
Given:
The probability of drawing a red candy at random from a bag of 25 candies is [tex]\dfrac{2}{5}[/tex].
To find:
The probability of randomly drawing a red candy from the bag after removing 5 candies from the bag.
Solution:
Let n be the number of red candies in the bag. Then, the probability of getting a red candy is:
[tex]P(Red)=\dfrac{\text{Number of red candies}}{\text{Total candies}}[/tex]
[tex]\dfrac{2}{5}=\dfrac{n}{25}[/tex]
[tex]\dfrac{2}{5}\times 25=n[/tex]
[tex]10=n[/tex]
After removing the 5 candies from the bag, the number of remaining candies is [tex]25-5=20[/tex] and the number of remaining red candies is [tex]10-5=5[/tex].
Now, the probability of randomly drawing a red candy from the bag is:
[tex]P(Red)=\dfrac{5}{20}[/tex]
[tex]P(Red)=\dfrac{1}{4}[/tex]
Therefore, the required probability is [tex]\dfrac{1}{4}[/tex].
Below are the times (in days) it takes for a sample of 6 customers from Sarah's computer store to pay their invoices.
33, 16, 29, 41, 36, 37
Find the standard deviation of this sample of times. Round your answer to two decimal places.
=___
Answers
Answer:
8.80
Step-by-step explanation:
(S. D.)^2=summation(x-mean)^2/(n-1)
S. D.=sqrt(388/5)
S. D.=8.80
30 POINTS!!!!
Select ALL the correct answers.
Identify the two tables which represent quadratic relationships.
Answers
Answer:
Tables 4 and 6Step-by-step explanation:
Look at the y-values as x-values are same for all tables.
We see that:
Tables 1 and 5 - linear function as the differences are same.Tables 2 and 3 - exponential function as the ratios are same.Tables 4 and 6 - seem quadratic as there are repeat values showing the symmetry.SEE QUESTION IN IMAGE
Answers
Answer:
23Data is:
5, 6, 7Mean:
(5 + 6 + 7)/3 = 6Standard deviation:
σ = [tex]\sqrt{((5 - 6)^2+(6-6)^2+(7-6)^2)/3} = \sqrt{2/3}[/tex]Correct choice is d
24Data is:
-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5Mean:
(-5 -4 - 3 - 2 - 1 + 0 + 1 + 2 + 3 + 4 + 5)/11 = 0Standard deviation:
σ = [tex]\sqrt{((-5)^2+(-4)^2+(-3)^2+(-2)^2+(-1)^2+0^2+1^2+2^2+3^2+4^2+5^2)/11} = \sqrt{10}[/tex]Correct choice is d
25Data is:
3, 4, 5, 6, 7Mean is:
5Standard deviation:
σ = [tex]\sqrt{((3-5)^2+(4-5)^2+(5-5)^2+(6-5)^2+(7-5)^2)/5} = \sqrt{2}[/tex] ≈ 1.4Correct choice is d
7.
For which discriminant is the graph possible?
A. b2 – 4ac = 0
B. b2 – 4ac = –1
C. b2 – 4ac = 4
Answers
Answer:
C. b2 – 4ac = 4
Step-by-step explanation:
Answer:
The graph is possible for
Step-by-step explanation:
we know that
The discriminant of a quadratic equation of the form
is equal to
If D=0 the quadratic equation has only one real solution
If D>0 the quadratic equation has two real solutions
If D<0 the quadratic equation has no real solution (complex solutions)
In this problem , looking at the graph, the quadratic equation has two real solutions (the solutions are the x-intercepts)
so
therefore
The graph is possible for
...............................................................................................................................................
Answer:
b^2 – 4ac = 4
...............................................................................................................................................
9. The scatter plot below shows the average yearly consumption of
bottled water by people in the United States starting in 1990.
18
16
14
Gallons of
Bottled
Water per
Person
12
10
1990 1992 1994 1996 1998 2000
Year
Using the line of best fit, predict the average consumption of bottled
water in the year 2000?
B) 18 gallons
A) 20 gallons
C) 20 gallons
D) 19 gallons
Answers
PLS HELP MEEE I NEED HELP TO PASS PYTHAGOREAN THEOREM
Answers
Answer:
b=12
Step-by-step explanation:
b^2+35^2=37^2
b^2+1225=1369
b^2=144
b=12,-12
Lengths can't be negative, so b=12
Answer:
b=12
Step-by-step explanation:
The Pythagorean theorem is
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
35^2 + b^2 = 37^2
1225+b^2 =1369
b^2 =1369-1225
b^2 = 144
Taking the square root of each side
sqrt(b^2) = sqrt(144)
b=12
câu nào không phải mệnh đề
A. 3+2=7
B. 4+x
Answers
Answer:
b because it is an expressio n
Step-by-step explanation:
Carlos has chosen twelve different compact discs (CDs) he would like to buy. Four are rap music, five are country music, and three are heavy metal music. Carlos then randomly selects five of the 12 CDs to purchase. What is the probability that his purchase includes at least one CD from each of the three categories
Answers
Answer:
185/198
Step-by-step explanation:
Since the are 12 Cd and we require them to be selected in 5 ways, the number of selections is ¹²C₅ = 12 × 11 × 10 × 9 × 8/5! = 95040/120 = 792 ways
Since we have Four are rap music, five are country music, and three are heavy metal music, the number of ways to select them in groups of five so as to have at least one of each CD from each category, we have
For the first selection 3 of one category, and 1 each of the other categories.
The second selection is 2 each of two categories and 1 of the last category.
So, doing this for each category, we have
⁴C₃ × ⁵C₁ × ³C₁ + ⁴C₂ × ⁵C₂ × ³C₁ + ³C₃ × ⁴C₁ × ⁵C₁ + ³C₂ × ⁴C₂ × ⁵C₁ + ⁵C₃ × ⁴C₁ × ³C₁ + ⁵C₂ × ³C₂ × ⁴C₁
= (4 × 3 × 2/3! × 5 × 3) + (4 × 3/2! × 5 × 4/2! × 3) + (1 × 4 × 5) + (3 × 2/2! × 4 × 3/2! × 5) + (5 × 4 × 3/2! × 4 × 3) + (5 × 4/2! × 3 × 2/2! × 4)
= 360/6 + 720/4 + 20 + 360/4 + 720/2 + 120/4
= 60 + 180 + 20 + 90 + 360 + 30
= 740 ways
So, the required probability is P = number of ways of selecting at least one CD/ total number of ways = 740/792 = 185/198
PLZZZZZZ HELPPPPPPPP!!!!
Answers
Answer:
[tex]3 \frac{3}{5} [/tex]Step-by-step explanation:
Given,
Vince used a cup of lemonade will be = 3/5
We know that,
Amount of lemonade used by Luva is 6 times of Vince
Therefore,
Lemonade used by Luca
[tex] = \frac{3}{5} \times 6[/tex]
[tex] = \frac{18}{5} [/tex]
[tex] = 3 \frac{3}{5} (ans)[/tex]
I want answer for third question
3rd**
Answers
Which equation can be used to solve the problem?
495 is 55 percent of what number?
Answers
Answer:
55/100 * x = 495
Step-by-step explanation:
The unknown number is x.
55% of x = 495
55/100 * x = 495
Grace bought a property valued at $200,00.00 and 20% down and a mortgage amortized over 10 years. She makes equal payments due at the end of every months. Interest on the mortgage is 4% compounded semi-annually and the mortgage is renewable after five years. a) What is the size of each monthly payment? b) What is the outstanding principal at the end of the five-year term? c) What is the cost of the mortgage for the first five years?
Answers
Answer:
Size of each monthly payment = $161.69 per month
Step-by-step explanation:
Given:
Value of property = $20,000
Downpayment = 20%
Number of payment = 12 x 10 = 120
Interest rate = 4% = 4% / 12 = 0.33 %
Computation:
Loan balance = 20,000 - 20%
Loan balance = $16,000
A] Size of each monthly payment [In Excel]
Size of each monthly payment = PMT(0.33%,120,16000,0)
Size of each monthly payment = $161.69 per month
Two more than three times a number is 18.
Answers
Let the number be x
ATQ
[tex]\\ \sf\longmapsto 3x+2=18[/tex]
Take 2 to right side[tex]\\ \sf\longmapsto 3x=18-2[/tex]
[tex]\\ \sf\longmapsto 3x=16[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{16}{3}[/tex]
[tex]\\ \sf\longmapsto x=5.3[/tex]
[tex]\\ \sf\longmapsto x\approx 5[/tex]
Write the six step in division
Answers
Answer:
Divide the tens column dividend by the divisor. Multiply the divisor by the quotient in the tens place column. Subtract the product from the divisor
Step-by-step explanation:
please help. only need to do part b
Answers
A survey found that 8 out of 10 parents approved of the new principal’s performance. If 4 parents name are chosen with replacement what is the probability they all approve of the principal’s performance
Answers
Answer:
The probability is 0.044
Step-by-step explanation:
Step-by-step explanation:
Let p be the probability that the new principal’s performance is approved.
This is obtainable from the survey and it is 8/10 = 0.8
Let q be the probability that the new principal’s performance is disproved.
That will be;
1 - q = 1- 0.8 = 0.2
To calculate the probability that 14 parents names are chosen at random and they all
approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.
That will be;
14C14 * p^14 * q^0
= 1 * 0.8^14 * 0.2^0
= 0.043980465111 which is approximately 0.044
Venus has 80 ounces of sports drink. If she drinks 60% of it, how much sports drink will she have left?
Answers
Answer:
32 ounces
Step-by-step explanation:
Find the surface areas of each figure. Round your answers to the nearest tenth, if necessary
Answers
351.86
Detailed explanation:
what is the answer to x if 2x = 7
Answers
If you divide 2 from 7 it gives you 3.5 and to double check 2x3.5 it gives 7
-4 = -2/u solve for U
PLSSSS HELP ME I NWWD THIS OR ELSE I FAIL
Answers
Answer:
-4= -2/u
or, -4u= -2
or, u= -2/-4
u=1/2
15/2 divided by 5/3
Brainlest is one the line
Answers
Answer:
[tex] \frac{9}{2} [/tex]
Step-by-step explanation:
[tex] \frac{15}{2} \div \frac{5}{3} = \frac{15}{2} \times \frac{3}{5} = \frac{3}{2} \times \frac{3}{1} = \frac{9}{2} [/tex]
Can someone please explain how to do this?(Picture above) I'll give brainliest!
Answers
Answer:
f(1)=4
f(-3)=4
f(5)=-2
f(0)=2
f(-1)=0
f(3)=2
Step-by-step explanation:
Pose f(x) as your x value. Now apply to the graph
Anna read 6 pages of a book then stopped. She later decided to continue the book and read 7 more pages every day.
Let d represent the number of days since Anna decided to continue the book and p represent the total number of pages of the book she had read.
Complete the table using the equation p=7d+6.
d p
7
8
9
10 76
Answers
Answer: 55, 62, 69, 76
Step-by-step explanation:
(to complete the table, plug d values into the equation to find p values)
p = 7d + 6, d = 7
p = 7(7) + 6 = 49 + 6 = 55
p = 7d + 6, d = 8
p = 7(8) + 6 = 56 + 6 =62
p = 7d + 6, d = 9
p = 7(9) + 6 = 63 + 6 =69
p = 7d + 6, d = 10
p = 7(10) + 6 = 70 + 6 =76
Gabby piggy bank contains dimes and quarters worth $8.55. If she has 63 coins in all how much does she have
Answers
Answer: 48 dimes, 15 quarter
Step-by-step explanation:
Given
The money is of the net worth of [tex]\$8.55[/tex]
If there is total of 63 coins
Suppose there are [tex]x[/tex] dimes and [tex]y[/tex] quarter
[tex]\therefore x+y=63\quad \ldots(i)\\\Rightarrow 0.1x+0.25y=8.55\quad \ldots(ii)[/tex]
Solve (i) and (ii)
[tex]x=48,y=15[/tex]
Thus, there are 48 dimes and 15 quarters
