Quadrilateral CDEF is dilated by a scale factor of į to form quadrilateral C'D'E'F'.
What is the measure of side EF?
Answer:
Measure of E'F' = 9
Step-by-step explanation:
If a quadrilateral is dilated by a scale factor of [tex]\frac{3}{4}[/tex], all the sides of preimage CDEF will be dilated with the same factor to form image quadrilateral C'D'E'F'.
Scale factor = [tex]\frac{\text{Dimension of image}}{\text{Dimension of preimage}}[/tex]
[tex]\frac{3}{4}=\frac{E'F'}{EF}[/tex]
[tex]\frac{3}{4}=\frac{E'F'}{12}[/tex]
E'F' = [tex]\frac{3}{4}\times 12[/tex]
= 9
Therefore, measure of side E'F' will be 9.
Yumiko Yoshida wants to pay his $1,058.90 annual premium monthly. What is his monthly payment?
construct a rectangle (a and b of known length, d diagonal)
Find the mean, median and mode of the following data sets.
1. 79, 84, 92, 81, 86, 77, 95, 80, 88, 84
2. 8, 9, 9, 9, 9, 10, 11, 15
3. 16, 23, 18, 30, 32, 34, 8, 19, 21
Answer:
1.
mean= 84.6
median=84
mode=84
2.
mean=10.14
median=9
mode=9
3.
mean=22.3
median=21
mode=phi
Step-by-step explanation:
mean: the sum of of the quantities by their number
median: the median value after rearranging the values
mode: the value that occurs most frequently
in the second question
mean = (8+9+9+9+9+10+11+15)/8
median(even number) =(9+9)/2=9
mode=9
Answer:
for data set 1
1.mean-84.6
2.median-(84+84)/2 = 84
3.mode-84
for data set 2
1.mean-9.25
2.median-(9+9)/2 = 9
3.mode-9
for data set 3
1.mean-22.3
2.median-21
3.mode-no mode with this data set
hope this helped!!
8. A box is filled with candies in different colors. We have 40 white candies, 24 green ones, 12
red ones, 24 yellow ones and 20 blue ones. If we have selected one candy from the box
without peeking into it, find the probability of getting a green or red candy.
Answer:
[tex]P(Green\ or\ Red) = 0.30[/tex]
Step-by-step explanation:
Given
[tex]White = 40[/tex]
[tex]Green = 24[/tex]
[tex]Red = 12[/tex]
[tex]Yellow = 24[/tex]
[tex]Blue = 20[/tex]
Required
[tex]P(Green\ or\ Red)[/tex]
The total numbe of candy is:
[tex]Total = 40 + 24 + 12 + 24 + 20[/tex]
[tex]Total = 120[/tex]
This probability is calculated as:
[tex]P(Green\ or\ Red) = P(Green) + P(Red)[/tex]
For each, we have:
[tex]P(Green\ or\ Red) = \frac{Green}{Total} + \frac{Red}{Total}[/tex]
Take LCM
[tex]P(Green\ or\ Red) = \frac{Green+Red}{Total}[/tex]
[tex]P(Green\ or\ Red) = \frac{24+12}{120}[/tex]
[tex]P(Green\ or\ Red) = \frac{36}{120}[/tex]
[tex]P(Green\ or\ Red) = 0.30[/tex]
It has been reported that 8.7% of U.S. households do not own a vehicle, with 33.1% owning 1 vehicle, 38.1% owning 2 vehicles, and 20.1% owning 3 or more vehicles. The data for a random sample of 100 households in a resort community are summarized in the frequency distribution below. At the 0.05 level of significance, can we reject the possibility that the vehicle-ownership distribution in this community differs from that of the nation as a whole?
Number of Vehicles Owned Number of Households 0 20 1 35 2 23 3 or more 22 =100
Answer:
Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )
Therefore, we reject H₀ at 0.05 level of significance.
Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household
Step-by-step explanation:
Given the data in the question;
Number of vehicle owned Number of households
0 20
1 35
2 23
3 or more 22
Total ( n ) 100
so
Null hypothesis H₀ : In this community, vehicle ownership distribution is like that of all U.S household
Alternative hypothesis Hₐ : In this community, vehicle ownership distribution is NOT like that of all U.S household
Also given that, ∝ = 0.05
Now, we compute the test statistics;
x² = ∑[ ( O[tex]_i[/tex] - E[tex]_i[/tex] ) / E[tex]_i[/tex] ]
where E[tex]_i[/tex] is expected frequency and O[tex]_i[/tex] is observed frequency.
so we make our table for chi square test statistics
No. of O[tex]_i[/tex] P E[tex]_i[/tex] (O[tex]_i[/tex] - E[tex]_i[/tex])² (O[tex]_i[/tex] - E[tex]_i[/tex])²/E[tex]_i[/tex]
Vehicle (n×P)
owned
0 20 0.087 8.7 127.69 14.677
1 35 0.331 33.1 3.61 0.109
2 23 0.381 38.1 228.01 5.985
3 or more 22 0.201 20.1 3.61 0.180
Total 100 100 20.951
hence, x² = 20.951
Now, degree of freedom df = k - 1 = 4 - 1 = 3
From Chi-Square critical value table; ( right tailed test ) for ∝ = 0.05
[tex]x_{0.05, 3[/tex] = 7.815
Decision Rule
Reject H₀ if x² is greater than xₐ².
Here, the test statistics ( 20.951 ) is greater than the critical value ( 7.815 )
Therefore, we reject H₀ at 0.05 level of significance.
Hence, there is significant evidence to support the claim that In this community, vehicle ownership distribution is NOT like that of all U.S household
I don’t know the answer
Answer:
(a+b) (a-b) =a^2 - b^2
In this question a=2, b=square root of 5
So 2*2=4 square root of 5 times square root of 5 is 5
4-5=-1
Answer:
I believe the answer is -1.
Step-by-step explanation:
So I distributed,
2 x 2 = 4
[tex]-\sqrt{5}[/tex] x 2 = [tex]-2\sqrt{5}[/tex]
[tex]\sqrt{5}[/tex] x 2 = [tex]2\sqrt{5}[/tex]
[tex]\sqrt{5}[/tex] x [tex]-\sqrt{5}[/tex] = -5
4 [tex]-2\sqrt{5}[/tex] + [tex]2\sqrt{5}[/tex] - 5 = ?
the radicals cancel out and 4 -5 = -1
The bar graph shows the number of check-ins at a motel each day for one week. What percent of the check-ins occurred on Friday or Saturday? Round your answer to the nearest hundredth of a percent.
You sold 500 shares of Intel for $26.75 per share. Your broker charges you a
commission of $2.75 per thousand dollars of stock bought or sold. How much
money will be credited to your account when you sell? (Remember, commissions
are subtracted out of your transaction.)
Answer: $13339.25
Step-by-step explanation:
Since 500 shares of Intel were sold for $26.75 per share, the total amount will be:
= 500 × $26.75
= $13375
Since the broker charges a
commission of $2.75 per thousand dollars of stock bought or sold, the amount charged by the broker on $13375 will be:
= $2.75 × 13
= $35.75
The amount that'll then be credited into ones account will be:
= $13375 - $35.75
= $13339.25
PLEASE HELP PLEASE
A girls' choir is choosing a uniform for their concert. They can pick red, green or
purple sweaters, and they can pick tan, white or black skirts. The shoes they need
come in gold and black. Assuming all combinations are acceptable, how many
different combinations can the choir pick?
Answer:
18
Step-by-step explanation:
=============================================================
Explanation:
There are 3 colors to pick for the sweaters (red, green, purple).There are 3 colors for the skirts (tan, white, black)There are 2 colors for the shoes (gold, black)Multiply out those values mentioned to get the final answer: 3*3*2 = 9*2 = 18.
There are 18 different outfit combos.
---------------
Further explanation (optional section):
Let's say we only worried about the sweaters and shoes, and for now there's only one color for the skirt. We have 3 colors for the sweaters and 2 for the shoes. Imagine a table with 3 rows and 2 columns. Each row is a different color for the sweater and each column is a different color for the shoe. There are 3*2 = 6 cells inside the table. Each cell is a different outfit.
For instance, we could have R = red sweater and G = gold shoe. Then that means RG = red sweater + gold shoe outfit. So we'd have RG as one of the cells of this 6 cell table.
Now imagine that we laid out a table that is 6 by 3. The 6 is from the 6 outfits calculated earlier, and the 3 is now accounting for the colors of the skirts. We'd then have 6*3 = 18 combos total. Again, each cell inside the table represents a different outfit combo.
Mary works as a gardener. on her last job she charged $60 for plants and $500 for 20 hoursof work. The equations represent the total price y, charged by different gardeners after x hours of work.
Answer:
28 hours
Step-by-step explanation:
Question 1 and 2 have the same question help please!!
Answer:
1st Circle
Radius = 9
Diameter = 18
Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 9 = 56.52
2nd Circle
Radius = 14
Diameter = 28
Circumference = 2 × [tex]\pi[/tex] × r = 2 × 3.14 × 14 = 87.92
:D
Dan bought 20 bunches of seedless green grapes for $48. How many bunches can Kali buy if she has $12?
5
29
4
6
Answer:
Quantity = 5 grapes
Step-by-step explanation:
Given the following data;
Quantity of grapes = 20
Cost = 48
To find the cost of each grape;
Cost of each grape = total cost/quantity
Cost of each grape = 48/20
Cost of each grape = $2.4
Now, to find how many grapes $12 can buy;
Quantity = total cost/cost of each grapes
Quantity = 12/2.4
Quantity = 5 grapes
Therefore, $12 can buy 5 grapes.
Which statement about the ordered pairs (–2, 9), (0, 9) and (3, 9) is not true?
Answer:
The slope of these coordinates is 0.
It is a horizontal line.
Step-by-step explanation:
find the value of x. geometry!
Answer:
x= 130°
Step-by-step explanation:
What type of correlation is shown in the graph?
Answer:
no correlation
Step-by-step explanation:
it shows no trend or a line thing
also i think your pic is upside down haha
Mark and eight of his friends went out to
eat. They decided to split the bill evenly.
Each person paid $9. What was the total
bill?
Which expression is a sixth root of -1+i sqrt3?
(Look at photo for options)
Answer:
D
6sqrt2(cos(20)+I sin (20))
Answer:
The answer is D: 6sqrt2(cos(20)+isin(20))
Step-by-step explanation:
I’ve honestly been trying to figure out why this is the answer but I have no idea I just happened to get it right.
What linear expression would you add to -4y+2 to have a sum of y
Answer:
4
Step-by-step explanation:
In 2001, gas cost $1.85 per gallon. In 2008, the price was
220% higher than in 2001.
What was the cost of gas per gallon in 2008?
Which expression is equivalent to j(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)(j)?
o 13'
o 13j
o j13
oj + 13
need help fast pls!
HELPPPPP WILLLLL AMRK BRAINLIESTTTTTT
What is the area of parallelogram ABCD?13 square units14 square units15 square units16 square units
Answer:
13
Step-by-step explanation:
the equation for parrlelograms is base times hieght. the base is about 3 and the hieght is 4 and 1/3 (ish) so 3*4.3 would give the answer of 13 square units. I hope this helps?
What is the range of y = 7x^2 + 14x – 9?
Answer:
-1,-16
Step-by-step explanation:
y=ax^2+box+c
A bin of 5 transistors is known to contain 2 that are defective. The transistors are tested one at a time until both defective transistors have been identified. Denote N1 the number of tests until the first defective is identified and N2 the number of tests until the second defective is identified. (a) Find the joint probability mass function of N1 and N2.
Answer:
sorry I donot know the answer never mind ok
The cost of a school banquet is 75$ plus 15$ per person.
1- write a linear equation for the above situation
2- What do you think the slope and the y intercept is?
3- what would the inverse above mean?
4-How much would it cost is 75 people came
5- If the final bill was 630$ How many people attended
PLEASE show work!! 24 points
Answer:
The cost of a school banquet is $75+30n, where n is the number of people attending.
If 53 people are attending to visit school banquet, then you have to find the value of given expression at n=53.
At n=53, the value is $(75+30·53)=$1,665.
Step-by-step explanation:
SOMEONE HELP ME WITH THISS
Answer:
/_ 12 is the angle of depression from the firefighter to the second story window.
Step-by-step explanation:
Hope it helps!
#CarryOnLearning
Answer:
2nd option is the correct answer
Step-by-step explanation:
[tex] \angle 12[/tex] is the angle of depression from the second story window to the firefighter.
write the first five terms of the sequence an=3n^2
Answer:
2,1,0 is the sequence of its terms
A sociologist wants to construct an 80 confidence interval for the proportion of children aged - living in New York who own a cell phone. Part: 0 / 30 of 3 Parts Complete Part 1 of 3 (a) A survey by the National Consumers League taken in estimated the nationwide proportion to be . Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of
This question is incomplete, the complete question is;
A sociologist wants to construct an 80 confidence interval for the proportion of children aged 8-10 living in New York who own a cell phone.
(a) A survey by the National Consumers League taken in 2012 estimated the nationwide proportion to be 036. Using this estimate, what sample size is needed so that the confidence interval will have a margin of error of 0.02?
Answer:
the required or needed sample size is 946
Step-by-step explanation:
Given the data in the question;
confidence level = 80%
⇒ 100( 1 - ∝ )% = 80%
100 - 100∝ = 80
100∝ = 100 - 80
∝ = 20/100
level of significance ∝ = 0.2
[tex]Z_{\alpha /2[/tex] = [tex]Z_{0.10[/tex] = 1.2816 { from z-table }
p = 0.36
Allowable margin of error E = 0.02
let n be the required sample size.
we know that
E = √( p( 1 - p) / n )
given that margin of error E = 0.02
⇒ √( p( 1 - p) / n ) × [tex]Z_{\alpha /2[/tex] = 0.02
⇒ √( 0.36( 1 - 0.36) / n ) × 1.2816 = 0.02
⇒ √( 0.2304 / n ) × 1.2816 = 0.02
√( 0.2304 / n ) = 0.02 / 1.2816
√( 0.2304 / n ) = 0.01560549
( 0.2304 / n ) = ( 0.01560549)²
0.2304 / n = 0.000243531318
n = 0.2304 / 0.000243531318
n = 946
Therefore, the required or needed sample size is 946
Simplify (6x2 - 4x + 7) - (8x2 - 2x + 5) =
Answer:
−2x 2−2+2
Step-by-step explanation:
