Find the perimeter of a quadrilateral with vertices at C (2, 4), D (1, 1), E (5, 0), and F (3, 4). Round your answer to the nearest hundredth when necessary.
Answers
9514 1404 393
Answer:
12.76 units
Step-by-step explanation:
The distance formula is useful for finding the lengths of segments between given coordinates.
d = √((x2 -x1)² +(y2 -y1)²)
Then the lengths of the line segments are ...
CD = √((1-2)² +(1-4)²) = √10
DE = √((5-1)² +(0-1)²) = √17
EF = √((3-5)² +(4-0)²) = √20
FC = √((2-3)² +(4-4)²) = 1
Then the perimeter is ...
√10 +√17 +√20 +1 ≈ 12.7575 ≈ 12.76 units
__
In the attached, the length of "polyline" CDEF is shown as 11.76. The segment FC is shown separately.
Related Questions
You are comparing cell phone plans at two cell phone companies. The probability that you buy a plan from company A is 0.2. The probability that you buy a plan from company B is 0.4. Assuming these events are mutually exclusive, what is the probability that you buy a plan from company A or company B?
A. 0
B. 0.16
C. 0.2
D. 0.6
Answers
Answer:
the answer for this question is option 0.16
In testing hypotheses, which of the following would be strong evidence against the null hypothesis?
a. obtaining data with a low test statistic.
b. using a small level of significance.
c. using a large level of significance.
d. obtaining data with a large p-value.
e. obtaining data with a small p-value.
Answers
Answer:
e. obtaining data with a small p-value.
Step-by-step explanation:
In the null hypothesis, we test if the mean respects certain condition, and on the alternate hypothesis, we test the opposite of the null hypothesis.
The decision depends on the pvalue:
If the pvalue is smaller than the level of significance, that is, the pvalue has small values, the null hypothesis is rejected, that is, it is strong evidence against the null hypothesis. Large pvalues do not give evidence against the null hypothesis.
So the correct answer is given by option e.
Please help me with this math problem
Answers
Answer:
The table is a quadratic function
Step-by-step explanation:
Given
The attached table
Required
Tell if it is a quadratic function
The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.
(1) Subtract adjacent y values.
[tex]d_1=2 - 16 = -14[/tex]
[tex]d_2=-2 - 2 = -4[/tex]
[tex]d_3 = 4--2 = 6[/tex]
[tex]d_4 = 20 - 4 = 16[/tex]
(2) Subtract adjacent differences in (1) above
[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]
[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]
[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]
Notice the calculated differences in (2) are the same.
Hence, the table is a quadratic function
Which statement can be used to find X
Answers
Answer:
it's letter D. cos 16⁰=²¹--x
HELP answer this question please help a girl out
Answers
Answer:
37.3 ft
Step-by-step explanation:
x/56 = 32/48
cross multiply:
56x32 = 1792
48x
1792/48 = 37.3
can someone give me a simple answer to this problem
Answers
write the following comparison as a ratio reduced to lowest terms.
94 hours to 8 days
Answers
Answer:
11.75:1
Step-by-step explanation:
alrighty right, more unit rates, so we have to get that 8 down to 1. How are we gonna do that? By dividing it by 8. And if we divide one side by 8, we also have to divide the other side:
8 ÷ 8 = 1
94 ÷ 8 = 11.75
So 94 hours to 8 days in lowest terms is 11.75 hours to 1 day
Please can anyone answer this question
Answers
Not 100% sure tho
Write an equation of the line below.
Answers
Answer:
y=-1/3x
Step-by-step explanation:
y=-2/6x
y=-1/3x
y-intercept is 0
Seth's homework assignment is to write factor pairs that contain only composite
numbers. Seth wrote four factor pairs for the number 132, as shown below.
6 x 22
11 x 12
3 x 44
2 x 66
Which of Seth's factor pairs contains only composite numbers?
F 6 x 22
G 11 x 12
H 3 x 44
J 2 x 66
Answers
Answer:
F. 6 x 22
Step-by-step explanation:
6 has more than two factors ( 1, 6, 2, 3), which makes it a composite number.22 has more than two factors (1, 22, 2, 11), which makes it a composite number.Therefore, F is the correct answer.The Seth's factor pairs that contains only composite numbers are
6 × 22.
Composite numbers are numbers with more than 2 factors.
They are natural numbers or positive integers with more than 2 factors. Examples are 15, 10, 20 etc...
The Seth's factor pairs that contains only composite numbers are
6 × 22.
The factors of 6 are 1, 2, 3 and 6
The factors of 22 are 1, 2, 11 and 22.
They both have more than 2 factors.
read more; https://brainly.com/question/19271845?referrer=searchResults
Which of the following statements is true
Answers
Answer:
2nd one and the last one
Step-by-step explanation:
What is the equivalent ratio of 3 6
Answers
Answer:
1:2
Step-by-step explanation:
Just simplify 3:6 to get 1:2
A food truck sells burgers and hot dogs. During lunch, it sold 88 items for a total of $331. If burgers cost $4.50 and hotdogs cost $3.25, how many of each item were sold?
Answers
Number of hot dogs = d = 52
We know that b + d = 88 (they sold 88 items)
And 4.5b + 3.25d = 331 (price • number = money made)
So we will solve the first equation for b in terms of d, then substitute that in the second equation to sell for a numerical value of d.
b + d = 88
b = 88-d
4.5(88-d) + 3.25d = 331
396 - 4.5d + 3.25d = 331
-1.25d = -65 (divide both sides by -1.25)
d = 52
Now plug that into the first equation to get a numerical value for b.
b = 88 - d
b = 88 - 52
b = 36
Checking the math:
4.5(36) + 3.25(52) = 162 + 169 = 331
Please lmk if you have any questions
in the following diagram HI || JK what is the measure of
Answers
Answer:
118
Step-by-step explanation:
1 straight line equals 180 degrees minus 62 makes it 118
A company is going to make an oil container in the shape of a cylinder. As shown below, the container will have a height of 5m and a radius of 3m. The container will be made from steel (including its top and bottom). If the steel costs $24 for each square meter, how much will the steel cost in total? If necessary, refer to the list of geometry formulas. For your calculations, do not round any intermediate steps, and use the π button on the ALEKS calculator. Round your answer to the nearest cent.
Answers
Answer:
1,172.3 cm³
Step-by-step explanation:
Find the volume of one rod, then divide the total volume of steel used by the volume of one rod. The volume of one rod is
V = (πd²/4)h
d = 4 cm
h = 20 cm
Plugin the numbers and get V in cm³, then divide the given total volume of 28,134.4 cm³ by V. If the result is not an integer, then round down.
Add
20 + 4 = 24
Then
28,134.4 ÷ 24 = 1172.26
Rounded to the nearest 0.1 or the Tenths Place = 1,172.3
Therefore, 1,172.3 rods will be made per hour.
What is the solution to this system of equations?
x + y = 6
{ x = y +2
0 (3, 3)
o (4, 2)
O (2, 4)
O (6, 4
Answers
Answer:
3,3
....................
34% of a shirt order for a department store arrived damaged. If the order
was for 500 shirts, how many of the shirts were damaged? *
Answers
Answer:
170 shirts
Step-by-step explanation:
500×0.34
170
PLS HELP IMA GIVE BRAIN LISTTT!!!
Which model is 85% shaded?
Done
Answers
Answer:
First left
Step-by-step explanation:
17/20 = 0.85 = 85/100 = 85%
The number 312.8 is 34% of x. What is the value of x rounded to the nearest whole number
Answers
Answer:
X = 920
Step-by-step explanation:
To start off, we have to find how many times 34% can go into 100%. It can go in precisely 2.94117647059 times. Then, we take that number and multiply it by 312.8, since 312.8 is 34% of 100%. We get 920 from that, which is the answer.
Hope this helped!
A percentage is a way to describe a part of a whole. The value of x rounded to the nearest whole number is 920.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the number 312.8 is 34% of x. Therefore, we can write,
34% of x = 312.8
(34/100) × x = 312.8
Multiply both the sides of the equation by 100,
(34/100) × x × 100 = 312.8 × 100
Divide both the sides of the equation by 34,
[(34/100) × x × 100] ÷ 34 = (312.8 × 100) ÷ 38
x = (312.8 × 100)/34
x = 920
Hence, the value of x rounded to the nearest whole number is 920.
Learn more about Percentages here:
https://brainly.com/question/6972121
#SPJ2
find the value of X in the triangle shown below
Answers
Answer:
62.
Step-by-step explanation:
The length 5.7 is the base since it is the side that isn't congruent to 1 mroe side. Therefore, the angles connected to it, including x, is congruent. Sum of angle in triangle=180. given angle 56. 180-56=124. x+x(congruent angles)=124. 2x=124. x=62.
Answer:
62
Step-by-step explanation:
180 - 56 = 124
124/2 = 62
A sign on a barrel of nuts in a supermarket says that it contains 30% cashews, 30% hazelnuts, and 40% peanuts by weight. You mix up the nuts and scoop out 18 pounds. When you weigh the nuts, you find that you have 5 pounds of cashews, 4 pounds of hazelnuts, and 9 pounds of peanuts. Is there evidence to doubt the supermarket's claim
Answers
Answer:
The calculated χ² = 0.842 does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
Step-by-step explanation:
1) We set up our null and alternative hypothesis as
H0: p1= 5/18, p2= 4/18, p3= 9/18
against the claim
Ha: p1≠ 5, p2≠ 4, p3≠ 9
2) the significance level alpha is set at 0.05
3) the test statistic under H0 is
χ²= ∑ (O - E)²/ E where O is the observed and E is the expected frequency
which has an approximate chi square distribution with 2 d.f
4) Computations:
Observed Expected χ²= ∑ (O - E)²/ E
5 5.4 0.0296
4 5.4 0.3629
9 7.2 0.45
∑ 0.842
5) The critical region is χ² ≥ χ² (0.05)2 = 5.99
6) Conclusion:
The calculated χ² = 0.842 does not fall in the critical region χ² ≥ 5.99 so we accept the null hypothesis that all the proportions are equal and there is not enough evidence to doubt the supermarket's claim.
A study is conducted to determine the extent to which drinking alcohol impairs driving ability. Forty volunteers are each tested twice on a computer simulated driving course, once while sober and once while intoxicated. The tests took place over two days and the order of the treatments were randomly assigned to each volunteer. One of the variables measured is the response time (in seconds) to a certain stimuli. The mean difference in response times measured while intoxicated versus sober is 0.914 seconds with standard deviation 1.496 seconds. Calculate the 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober. Use t*
Answers
Answer:
The 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober is between 0.274 and 1.554 seconds.
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 40 - 1 = 39
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 39 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.7079
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.7079\frac{1.496}{\sqrt{40}} = 0.64[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.914 - 0.64 = 0.274 seconds
The upper end of the interval is the sample mean added to M. So it is 0.914 + 0.64 = 1.554 seconds
The 99% confidence interval for the mean difference between the response times measured while intoxicated versus sober is between 0.274 and 1.554 seconds.
Really need help
Five less than twice what negative number squared is 157?
Answers
Answer:
-9
Step-by-step explanation:
2(-x)² - 5 = 157
2x² - 5 = 157
add 5 to each side of the equation:
2x² = 162
divide both sides by 2:
x² = 81
√81 = 9 or -9
At one farmer’s market, bananas cost $0.80 per pound. At another farmer’s market, bananas are sold in 5-pound bags for $4.50 per bag. Which explains how to find the better buy?
Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Divide 0.80 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Multiply 4.50 by 5 to find the cost for 5 pounds, and compare to $4.50 per bag.
Multiply 4.50 by 0.80 to find the cost for 5 pounds, and compare to $4.50 per bag
Answers
Answer:
Divide 4.50 by 5 to find the unit rate for the 5-pound bag, and compare that number to $0.80 per pound.
Step-by-step explanation:
Help me please, I don’t understand this at all
Answers
Answer: d
Step-by-step explanation:
aint no 90 cuz
Answer:
Not a right triangle
Step-by-step explanation:
root 4^2 + 6^2 is not equal to 7.5
Anna has n number of nickels. She has less than 45 cents. Which inequality could be used to the find the value of n?
A 0.05n < 0.45
B 0.05n > 0.45
C 0.05n < 0.45
D 0.05n > 0.45
Answers
Answer:
The correct answer is A or C 0.05n < 0.45
Step-by-step explanation:
Nickels cost $0.05 and n is the number of nickels, so you multiply the two to get 0.05n. Since this value is less than $0.45, we put a less than sign.
10.30, 7.85____, 2.95, 0.50 which of the following should be placed in the blank above to complete the pattern?
6.30
5.40
4.85
3.45
Answers
at the doctor's appointment a baby weight 10 pounds how many ounces did the baby weigh
Answers
Answer:
160 ounces
Step-by-step explanation:
A pound = 16 ounces
16x10=160 ounces
PLZ HELP ASAP NO LINKS AND NO STEALING POINTS OR ELSE I WILL REPORT IT HAS TO BE AN IMPROPER FRACTION.
Answers
Answer:
Hello Love!
8 ÷ 3/5 = 13 1/3 sense thats a mixed fraction I'll convert it and it converts to 13 x 3 + 1 = 40 so 40/3 is our answer
A regression equation has been developed in order to help predict the amount of sales made in a clothing store each day (y) based on the number of square feet covered by the store's floor space (x). A sample of 100 similar clothing stores is collected, with floor spaces ranging from 100 square feet to 300 square feet. For each store, the floor space (in square feet) and the amount of sales made that day (in dollars) are recorded. The following regression equation is calculated:
y^ = 2,050 + 54x
Select whether or not each of the following conclusions are correct from the regression analysis: Fill in blank with ither response :Correct or Not correct
a. If the floor space of a store were to increase by one square foot, the predicted increase in sales would be $2,050. ______________
b. If a store has a floor space of 75 square feet, the predicted sales in a day is $6,100. ____________
c. If a store has a floor space of 175 square feet, the predicted sales in a day is $11,500._______________
Answers
Answer:
que
Step-by-step explanation:
no sé perdón