Answer:
[tex] m\angle NED = 100\degree [/tex]
[tex] m\angle CED = 80\degree [/tex]
Step-by-step explanation:
By exterior angle theorem:
(9x - 8)° = (5x - 10)° + 50°
(9x - 8)° = (5x - 10 + 50)°
(9x - 8)° = (5x + 40)°
9x - 8 = 5x + 40
9x - 5x = 40 + 8
4x = 48
x = 48/4
x = 12
(9x - 8)° = (9*12 - 8)° = (108 - 8)° = 100°
[tex] \implies m\angle NED = 100\degree [/tex]
[tex] m\angle CED = 180\degree - 100\degree [/tex] (Linear pair angles)
[tex] \therefore m\angle CED = 80\degree [/tex]
[tex]\huge{ \mathcal{ \underline{ Answer }}}\: ✓ [/tex]
Measure of Exterior Angle of a triangle is equal to the sum of measures of two opposite interior angles .
From above statement we have :
[tex] 9x - 8 = 5x - 10 + 50[/tex][tex]9x - 5 x = 40 + 8[/tex][tex]4x = 48[/tex][tex]x = \dfrac{48}{4} [/tex][tex]x = 12[/tex]_____________________________
[tex] \mathrm{\angle \: NED = 9x - 8}[/tex]
[tex](9 \times 12) - 8[/tex][tex]108 - 8[/tex][tex]100°[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]
A survey was conducted to compare the mean cost of a meal at fast food restaurants in two different cities.
City n x s
A 26 $4.05 $0.55
B 32 $5.15 $0.85
Assume that the population variances of both groups are different. Test if there is sufficient evidence that the mean costs of a meal at fast food restaurants in two different cities are different. Conduct the hypothesis testing (optional) in paper.
Answer:
We reject the Null and conclude that the mean costs of a meal at fast food restaurants in two different cities are different.
Step-by-step explanation:
Given :
City n x s
A 26 $4.05 $0.55
B 32 $5.15 $0.85
H0 : μ1 - μ2 = 0
H0 : μ1 - μ2 ≠ 0
n1 = 26 ; x1 = 4.05 ; s1 = 0.55
n2 = 32 ; x2 = 5.15 ; s2 = 0.85
Tstatistic :
(x1 - x2) / √(s1²/n1 + s2²/n2)
(4.05 - 5.15) / √(0.55²/26 + 0.85²/32)
-1.1 / 0.1849668
= - 5.947
Using the smaller n;
df = n - 1 ; 26 - 1 = 25
Pvalue = (-5.947, 24)
Pvalue = 0.000001
Since Pvalue < α ; We reject the Null and conclude that the mean costs of a meal at fast food restaurants in two different cities are different.
The length of a rectangular lot is 6 feet less than 3 times its
width. Its area is 222 square feet.
Its width is
feet and its length is
feet.
Answer:
Its width is 9.66 feet and length is 22.98 feet.
Step-by-step explanation:
Let l is length and b is width of a rectangular lot.
Length, l = (3b-6) feet
The area of the lot is 222 sq feet.
The area of a rectangle is given by :
[tex]A=lb\\\\222=(3b-6)b\\\\222=3b^2-6b[/tex]
It is a quadratic equation. The solution of the above equation is given by :
b = 9.66 feet and -7.66 feet
Neglecting negative answer, the width of the lot is 9.66 feet.
Length, l = (3(9.66)-6) = 22.98 feet
Hence, its width is 9.66 feet and length is 22.98 feet.
There are 67 rabbits in the garden. Round 67 to the nearest 10.
Answer:
70
Step-by-step explanation:
1-4 rounds down
5-9 rounds up
pls help
I really need help
Answer:13
Step-by-step explanation:It is 13 because the mode is the number that is repeated the most.
Select the correct answer from each drop down menu. The square root of 15 look at image
Answer:
a=15
b=7
c=4
Step-by-step explanation:
[tex]\sqrt[4]{15^{7} } = 15^{\frac{7}{4} }[/tex]
peepeepoopooo I need help please
Answer:
16.9
Step-by-step explanation:
We can use a proportion also in this case
51.6 : 23 = 38 : NO
NO = (38 x 23)/51.6 = 16.9
Jonn is giving out chocolate to his friends. If he wants to give each friend 2/3
of a chocolate bar and he has 13 friends, how many chocolate bars wil he
need to buy?
PLS HELP TIMED HW WILL GIVE BRAINLEIST
Answer:
4.8
Step-by-step explanation:
[tex] V_{sphere} = \frac{4}{3} \pi r^3 [/tex]
[tex] 144\pi= \frac{4}{3} \pi r^3 [/tex]
[tex]r^3 = \frac {3 \times 144\pi}{4\pi}[/tex]
[tex]r^3 = 3 \times 36[/tex]
[tex]r^3 = 108[/tex]
[tex]r = \sqrt[3]{108} \\ \\ r = 4.7622031559 \\ \\ r \approx \: 4.8 \: [/tex]
a trader bought some eggs at 64 per dozen and sold 2/3 of them at 240/= per tray and the other 1/3 at 225/= per tray.In so doing she made a profit of 450/=.given 1 tray holds 30 eggs and 1 dozen 12 eggs determine the number of eggs she bought.
Note that the number of eggs the above-described trader bought is 180 eggs. This is solved using simple arithmetic.
What is the justification for the above response?
Let no. of the eggs be x, then
Money the trader paid for eggs = 64/12x = 16/3x
The money the trader got from
Seling two third eggs =2/3x*240/30
=16/3x
Money get from one third= x/3*225/30
=5/2
Profit= [16/3x+5/2x] - 16/3x
5/2x = 450
x =450*2/5
=180
Therefore, the number of eggs that the trader bought is 180.
Learn more about arithmetic:
https://brainly.com/question/11424589
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solve the inequality please
Answer:
The solution is 4 >/= -21
4 is greater than or equal to negative 21
Step-by-step explanation:
7x + 4 >/= 7(x - 3)
We'll start by distributing the y7 to the items in parentheses
7x + 4 >/= 7x - 21
Subtract 7x from both sides
4 >/= -21
Can someone please help me, giving all answers hearts, thank you in advance
Answer:
D) y=-5/2x; y=-20
Step-by-step explanation:
If y varies directly with x, then y=kx where k is our proportionality constant
Therefore, since y=-5 when x=2, we have -5=k(2) where k=-5/2
This means that when x=8, y=(-5/2)(8)=-20, making choice D correct
Help me please this is very hard i got 8ft but it said I was wrong!?
Answer:
is the answer 200/3 Or 66.667 ft
In the figure shown above, all the corners form right angles. What is the area of the figure in square units?
9514 1404 393
Answer:
70 square units
Step-by-step explanation:
The overall outline is 15 units wide and 8 units high, for an area of ...
A = WH
A = (15 units)(8 units) = 120 units²
__
The white space taken out of that overall area is 5 units high and 15-4-1 = 10 units wide. The area of the white space is ...
A = (5 units)(10 units) = 50 units²
__
The shaded area is the difference between the overall area and the white space taken out:
shaded = 120 units² -50 units² = 70 units²
Which story problem can be solved using the expression 5 ÷ 1/4 ?
A : Suzy needs 5 pieces of ribbon that are each 1/4 yard long.What is the total length of the ribbon she needs?
B : Alex cuts 1/4 of a pizza into 5 slices.What part of the pizza is one of the slices he cuts?
C :Nicole cuts 5 feet of string into 1/4 foot pieces.How many pieces does she cut?
D : Sammy pours 1/4 cup of honey equally into 5 teacups.How much honey does he pour into each teacup? Which one plzz help
If the diameter is 111ft then the radius is
Answer:
55.5 is the I guess........
For each of the following, indicate whether or not a paired analysis would be appropriate.
a. A school cafeteria offers a vegetarian and a nonvegetarian option for lunch every day. For a period of two weeks, you record how many calories are in the vegetarian option and how many calories are in the nonvegetarian option. Your goal is to see if vegetarian options tend to differ with regard to average number calories from nonvegetarian options.
b. A farmer investigates whether talking to cows by name leads to producing more milk. He randomly selects 30 of his cows and randomly assigns 15 to talk to by name and the other 15 not to.
Answer: a. a paired analysis is appropriate
b. a paired analysis is not appropriate
Step-by-step explanation:
The paired analysis sometimes is refered to as a statistical procedure which is used to know if the mean difference that exist between two observations is zero or not. It should be noted that in a paired analysis, each subject is measured twice, and this beings about the pairs of observations.
a. Here, the paired analysis is appropriate due to the fact that similar measurement which are the calories are taken for several days for both the vegetarian and the non vegetarian such are two pairs of sample.
b) In this case, the paired analysis is not appropriate. Here, the pairs of samples don't undergo identical treatment.
select all expressions equivalent to
3 ¹/2 * 4 + 1 *5 + 6 * 0.5
One week, Gabriel bought 2 bags of beans and 3 bags of rice. The next week, he bought 4 bags of beans and 1 bag of rice. Let b represent the cost of each bag of beans and r represent the cost of each bag of rice. Simplify the expression for the total cost, shown below.
(2b + 3r) + (4b+ r)
What is the value of
0 4,194,304
020
O 1,024
O 625
Answer: 20
Step-by-step explanation:
if 4x4=16 then 16 divided by 2 =8 witch is diviseble by 20
The range of the following set (33, 78, 56, 45, 22, 91, 65, 87, 23) is = 69?
Answer:
Yup
Step-by-step explanation:
91 - 22 = 69
41. How would the graph of the function
y=x2- 3 be affected if the function were
changed to y=x2 + 2?
A. The graph would shift 2 units up.
B. The graph would shift 5 units up.
C. The graph would shift 5 units down.
D. The graph would shift 1 unit up,
Answer:
B. The graph would shift 5 units up.
Step-by-step explanation:
Before the change:
Before the change, the function was given by:
[tex]y = x^2 - 3[/tex]
After the change:
After the change, the function was given by:
[tex]y = x^2 + 2[/tex]
Considering the function as it was before the change, it can also be written as:
[tex]y = x^2 - 3 + 5[/tex]
Which means that 5 was added to the function, and when a number n is added to a function, there function is shifted n units up. So the correct answer to this problem is given by option B.
Please help will give brainlyist
Is there any math Aces in Brainly today?
Answer:
So this angle is an acute angle so it would be around 60 so i think its D
Step-by-step explanation:
can i have brainliest
can someone please answer this I need extreme help.
Answer:
hope this will help you more
2x27 ÷2+95x4
Help me
Answer:
407
Step-by-step explanation:
Using PEMDAS, we get that (2x27) ÷ 2 + (95x4)
54÷2+380
27+380
407
Solve for z 7-√3z+2=4 What is the root? If there is no root, choose none. z = 7/3 z = 11/3 none
Answer:
Desmos is Function Calculator is a great tool for this, the correct answer is z= 7/3
7/3= 2.333~ and so √(3*2.333~) + 2= 2.9999999833333~
Now 7- 2.9999999833333~= 4.0000000166667~ but I don't know the true infinate sign for this so thats why my numbers look a little weird, just plug (7/3) in for z and you will get 4, trust me
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZZZZZZZZZZZZz
The circumference of a circle is 87 cm. What is the DIAMETER of the circle?
A)
2 cm
B)
4 cm
C)
6 cm
D)
8 cm
Answer:8 cm
Step-by-step explanation:
Please help i really need the points on this test ill give u brainliest if ur right!!
Answer:
13 and 16 for the first question and the second part i dont know sorry
Step-by-step explanation:
The median is the line in the center of the box
Which equation represents the data in this function table?
A. y = x - 8
B. x= y + 8
C. y = 3x
D. y = x + 3
Answer: The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .
The answer is not b
Step-by-step explanation:
10. If 1000 cm = 1 l, find the capacity of the following water tank in litre
a) 1 = 200 cm, b = 150 cm, h = 100 cm
[tex] \large \boxed{volume = l \times b \times h}[/tex]
[tex]200 \times 150 \times 100[/tex][tex]3000000 \: \: cm {}^{3} [/tex]Through the statement above we have,
[tex] \small\mathrm{1000 \: cm³ = 1 \: \: }l[/tex][tex]\small\mathrm{1 \: cm {}^{3} = \dfrac{1}{1000} \: }l[/tex][tex] \small\mathrm{3000000 \: cm {}^{3} = 3000000 \times \dfrac{1}{1000} \: }l[/tex][tex] \small\mathrm{3000000 \: cm {}^{3} = 3000000 \times \dfrac{1}{1000} \: }l[/tex][tex]\small\mathrm{ 3000 \: \: litres}[/tex]_____________________________
[tex]\mathrm{ \#TeeNForeveR}[/tex]