Answers
Answer:
In a n -sided polygon, sum of its interior angles is (n−2)×180∘ , hence sum of the interior angles in a convex hexagon is (6−2)×180∘=720∘ .
Answer:
Q1Sum of interior angles on n-sides polygon is:
S = (n - 2)*180°Sum of interior angles of a hexagon (6-sided polygon):
S = (6 - 2)*180° = 4*180° = 720°Q9Sum of exterior angles of any polygon is 360°
Each exterior angle of a pentagon is:
360°/5 = 72°Related Questions
City health officials will conduct a two-sample t-test for a difference in means to investigate whether
stray dogs in the city have more fleas, on average, than do stray cats. A random sample of 22 stray dogs
had a mean of 120 fleas and a standard deviation of 20 fleas. A random sample of 15 stray cats had a
mean of 100 fleas and a standard deviation of 30 fleas.
Assuming a null hypothesis of no difference, which of the following is a correct test statistic for the test?
Answers
Answer:
The calculated value t = 2.366 > 2.0301 at 0.05 level of significance
The null hypothesis is rejected
There is a difference between the means
Step-by-step explanation:
Step(i):-
Given that the first sample size 'n₁' = 22
Given that the mean of the first sample x₁⁻ = 120
Given that the standard deviation of the sample (s₁) = 20
Given that the mean of the second sample x₂⁻ = 100
Given that the standard deviation of the second sample (S₂) = 30
Step(ii):-
T-test statistic
[tex]t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }[/tex]
where
[tex]S^{2} = \frac{n_{1} S_{1} ^{2}+n_{2} S_{2} ^{2} }{n_{1} +n_{2}-2 }[/tex]
[tex]S^{2} = \frac{22( 20)^{2}+ 15(30) ^{2} }{22 +15-2 }[/tex]
S² = 637.1428
S = √637.1428 = 25.24168
The standard deviation of the sample 'S' = 25.24168
Step(iii):-
Null Hypothesis:H₀:
There is no difference between the means
Alternative Hypothesis:H₁:
There is a difference between the means
T-test statistic
[tex]t = \frac{x^{-} _{1} -x^{-} _{2} }{\sqrt{S^{2} (\frac{1}{n_{1} }+\frac{1}{n_{2} } ) } }[/tex]
[tex]t = \frac{ 120 -100 }{\sqrt{637.14 (\frac{1}{22 }+\frac{1}{15 } ) } }[/tex]
t = 2.366
Degrees of freedom
γ = n₁+n₂ -2 = 22+15-2 = 35
t₀.₀₅ = 2.0301
The calculated value t = 2.366 > 2.0301 at 0.05 level of significance
The null hypothesis is rejected
There is a difference between the means
The correct test statistic for the test of the hypothesis for the considered situation is 2.2619 approximately.
How to perform two sample t-test?If the sample sizes < 30, and we want to test the difference between the sample means, then we perform t-test.
Let we have:
[tex]\overline{x}_1[/tex] = mean of first sample[tex]\overline{x}_2=[/tex] mean of second sample[tex]s_1[/tex] = standard deviation of first sample[tex]s_2[/tex] = standard deviation of second sample.[tex]n_1[/tex] = first sample's size[tex]n_2[/tex] = second sample's sizeThen, the value of t-test statistic is obtained as:
[tex]t = \dfrac{\overline{x}_1 - \overline{x}_2}{\sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}}[/tex]
If the level of significance is [tex]\alpha[/tex], then as we have:
the degree of freedom (d.f) = [tex]n_1 + n_2 - 2[/tex],
the critical value of t is found to be [tex]t_{\alpha/2}[/tex] , then if we get:
[tex]|t| < t_{\alpha/2}[/tex] we cannot reject the null hypothesis
and if we get [tex]|t| > t_{\alpha/2}[/tex] , then we may reject the null hypothesis and thus, accept the alternate hypothesis.
For this case, we're specified that:
For sample of stray dogs:
[tex]n_1 = 22[/tex] [tex]\overline{x}_1 = 120[/tex][tex]s_1 = 20[/tex]For sample of stray cats:
[tex]n_2= 15[/tex][tex]\overline{x}_2 = 100[/tex][tex]s_2 = 30[/tex]Thus, the t-test statistic for the difference of mean of these two samples is calculated as:
[tex]t = \dfrac{\overline{x}_1 - \overline{x}_2}{\sqrt{\dfrac{s_1^2}{n_1} + \dfrac{s_2^2}{n_2}}}\\\\t = \dfrac{120-100}{\sqrt{20^2/22 + 30^2/15}} = \dfrac{20}{\sqrt{200/11 + 60}}\\\\\\t \approx 2.2619[/tex]
Thus, the correct test statistic for the test of the hypothesis for the considered situation is 2.2619 approximately.
Learn more about two sample t-test here:
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Based on the illustrations and the passage, which sentence tells how swifts and
sparrows are different?
Answers
Answer: Sparrows generally fly shorter distances than swifts do.
Step-by-step explanation: hope this right!
Answer:
What's the difference between a swallow and a swift?=> Swifts fly in the upper part of the air column as they hunt; swallows pursue insects closer to the ground or water.
=> If the bird is perched on a nest box, power line, or branch, that's a giveaway: Only swallows have the wherewithal to sit upright. Swifts are just stage-five clingers.
=> The swift has a slightly forked tail, not as long as the swallow's.
[tex] \infty \infty [/tex]
Use your plan of dividing both sides by five to solve the equation. What is the value of x?
Answers
please help me guys I need your help
identify whether the figure labelled below is a triangle or quadrilateral
for example:
A.triangle
that's what I know
Answers
Answer:
A. triangle, B. quadrilateral, C. triangle, D. quadrilateral, E. quadrilateral, F. triangle, G. triangle, H. quadrilateral, I. triangle, J. triangle
Step-by-step explanation:
triangles have 3 sides, quadrilaterals have 4 sides
Answer:
A-Triangle
B- Quadrilateral
C- Triangle
D- Quadrilateral
E- Quadrilateral
F-Triangle
G-Triangle
H-Quadrilateral
I- Triangle
J-Triangle
Step-by-step explanation:
If it has 3 sides it’s a triangle, if it has 4 it’s a quadrilateral.
Kya earned $630 per week. If she worked for 30 hours, what is her hourly rate?
Answers
Answer:
$21 per hour
Step-by-step explanation:
To find this answer you do the equation:
630/30 = ?
This equals 21.
Therefore, her hourly rate is $21 per hour.
Answer:
n 1 week, she worked 30 hours. So, she earned $630 for 30 hours. The hourly rate is then 630 / 30 = 21.
help pleaseeeeeeeeeee i dont get it
Answers
Answer:
E=30H
Melissa earns $330 in 11 hours
Step-by-step explanation:
Answer:
Equation = 30h=E
Melissa's earnings for 11 hours : $363
If you need further explaination I'll be happy to help!!
~ PumpkinSpice1 ♥
number 1- equivalent expression for 3(x +5) +4x -8?
Answers
Answer: look at the picture
Step-by-step explanation: Hope this help :D
PLEASE HURRY THIS IS DUE IN 1 HOUR
Answers
Answer:
36
Step-by-step explanation:
Make a big square and a little one by cutting it. 6x5 is 30 and the small one is 3x2 which is 6....add then you get 36
A flagpole 8m high cast a shadow of 12m, while a nearby building cast a shadow of 60m. How high is a building?
Answers
Answer:
40 m
Step-by-step explanation:
8/12=x/60
x=(8*60)/12
x=40
The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The height of the building when it cast a shadow of 60 meters is 40 m.
What is Tangent (Tanθ)?The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,
[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The base is the adjacent smaller side of the angle θ.
As it is given that the height of the pole is 8m, while the shadow cast by the pole is 12 m. If we use the ratio of trigonometry then the height of the building can be written as,
[tex]\rm Tan(\theta)= \dfrac{\text{Height of the pole}}{\text{Shadow of the pole}}= \dfrac{\text{Height of the building}}{\text{Shadow of the pole}}[/tex]
[tex]\dfrac{8}{12}= \dfrac{\text{Height of the building}}{\text{60}}\\\\\dfrac{8 \times 60}{12}= {\text{Height of the building}}\\\\\text{Height of the building}=40\ \rm m[/tex]
Hence, the height of the building when it cast a shadow of 60 meters is 40 m.
Learn more about Tangent (Tanθ):
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The ratio of nonfiction books to fiction books on a shelf is 5:3. There are 12 fiction
books on the shelf. How many books are on the shelf?
Answers
Answer:
20
Step-by-step explanation:
the ratio is 5:3 the you divide the 12 fiction by 3 you get 4 so if the fiction is 4 then you times it by 5 and you get 20
The ratio of fiction books to nonfiction books on the shelf is 5:3, if there are 12 fiction books are on the shelf, then total number of books on the self, 32
What is the ratio?A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, while the divisor or number that is dividing is referred to as the consequent.
Given that,
The ratio of nonfiction books to fiction books on a shelf is 5:3
There are 12 fiction books on the shelf
Total number of books on the self = ?
Suppose, the total number of books = x
Nonfiction = x - 12
Ratio = nonfiction/fiction
5/3 = x-12/12
x = 32
Hence, the total number of books is 32
To know more about Ratio check:
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#SPJ2
Triangle ABC has vertices A(–2, 3), B(0, 3), and C(–1, –1). Find the coordinates of the image after a reflection over the x-axis.A’ B’ C’
Answers
Answer:
(-2,-3), (0,-3), (-1,1)
Step-by-step explanation:
When reflecting over an axis, the axis you are reflecting over stays the same while the opposite axis becomes its opposite number, like reflect (12, -9) over the y axis, the y (-9) would stay the same but the x (12) would become (-12)
Which describes the cross section of the square prism that passes through the vertices A, B, C, and D shown
Below
Answers
Answer:
first of all,
Step-by-step explanation:
In triangle ABC one side equal and two sides equal
Step-by-step explanation:
We are given a prism whose base is square with sides 8 in and height 12 in.
If we take cross section through vertices A, B and C
We will get a cross section as triangle.
In triangle ABC, sides are AB, BC and AC
AB is diagonal of top square whose side 8 in.
AC is face diagonal of front face.
BC is face diagonal of right face.
AC=BC≠AB
Hence, In triangle ABC one side equal and two side equal
Hope this helps!!
Unit 8 7th grade math
Answers
First you add all the number then you divide by the amount of numbers
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answers
the y intercept is -2
and the slope is 3/4
slope= change in y/change in x
Will 100% give Brainiest to correct and help, please show work, needed answered asap
Answers
Answer:
x^6/2
Step-by-step explanation:
simplify the expression, 4x^4x^3/8x, you make it 4x^7/8x
and it simplifys to 4x^6/8 which then becomes x^6/2
extra note:
a^x * a^y = a^ x+y
(see attachment below)
I hope this helps :)
Question is in image
Answers
Answer:
241.8 cm squared
Step-by-step explanation:
since this is a 5 sided pyramid, we would just need the triangle area calculating formula:
base X Height divided by 2
and then multiply it by 5
after you get the results, don't forget to add the area of the base too.
2: Solve for x:
2x 2= 4x + 8
Answers
Step-by-step explanation:
2x^2 - 4x - 8 = 0
x^2 - 2x - 8 =0
[tex]x = 2 ( - )(+) \sqrt{2 {}^{2} + 4.1.4 } \div 2.1 \\ x = 2( + )( - ) \sqrt{4 + 16} \div 2 \\ x = 2( - )( + ) \sqrt{20} \div 2 \\ x = 2( - )( + )2 \sqrt{5} \div 2 \\ x = 2(1( - )( + ) \sqrt{5} \div 2 \\ thefore \: x = 1 + \sqrt{5} \: or \: x = 1 - \sqrt{5} [/tex]
-2x=6
X=6/-2
X=-3
9 – 3 ÷ 1/3 + 1 = ????
Answers
Answer:
1
Step-by-step explanation:
find common denominator first which is 1/3
10
10
14
50
50
10
10
NOTE: Figure not drawn to scale.
Which statement can be used to prove that the triangles above are congruent?
A If two triangles have three pairs of corresponding sides that are congruent, then the triangles are congruent.
B If two triangles have three pairs of corresponding angles that are congruent, then the triangles are congruent
If two triangles have two pairs of corresponding sides that are congruent, and the included angles are congru
triangles are congruent.
D
If two triangles have to pairs of corresponding angles that are congruent, and the included sides are congru
triangles are congruent.
Answers
Answer:
do you have a picture or somthing beacuse i dont understand what your asking
Step-by-step explanation:
Answer: prove that two triangles with three congruent, corresponding angles are congruent, you would need to have at least one set of corresponding sides that are also congruent.
Step-by-step explanation:
bir sayıyı 0,96 ile çarparsak bu sayıyı yüzde kaç azaltmış oluruz
A-96
B-40
C-9,6
D-4
Answers
I hope this helps you
Sayi 100A olsun
100A. 0,96=96A
100A-96A=4A
100A da 4A azaldiysa
100 de 4 azalir
HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
G
Step-by-step explanation:
Start is at 9 gallons
6 days of water use
9/6 is 1.5
1.5 gallon per day :)
can anyone explain to me how to find a locus of any point
Answers
Solutions of a Two-Variable Equation Tell whether the given ordered pair is a solution of the equation. 1. 4y + 2x = 3; (1.5, 0) 2. y= 7x - 5; (0,5) 3. y = - 2x + 5; (2, 1)
Answers
Answer:
1. yes 2. no 3. yes
Step-by-step explanation: (put this if you have to show your work)
1. 4*0+2*1.5 (solve with a calculator or by hand)
2 y*5=7*0-5(same as above solve with a calculator or by hand)
3. 1=-2*2+5(same as above solve with a calculator or by hand)
helppp i dont get it
Answers
It doesn’t have the plus sign
Answers
there u go if that helps u can copy and paste it
Answer: +
Step-by-step explanation:
HELP PLEASE!! at a bale sale there was 42 raisin cookies sold. if the ratio of raisin cookies to oat meal cookies was 6 : 1, what is the combined amount of raisin and oatmeal cookies sold?
Answers
answer!
49 cookies were sold!
explaination!
42÷6= 7
42 plus 7 = 49
the amount of cookies sold was 49
(Sorry if it's wrong)
Select the statement that describes this expression: 5 x (3 + 4) − 4. (2 points)
5 times the sum of 3 and 4, then subtract 4
5 times 3 plus 4 minus 4
5 more than the sum of 3 and 4, and then subtract 4
5 times 3 plus the difference of 3 and 4
Answers
Answer:
5 times the sum of 3 and 4, then subtract 4
Answer:
5 times the sum of 3 and 4, then subtract 4
Step-by-step explanation:
Hope this helps
Plzz help
i really need help
Answers
What is the area of the triangle?
2
Answers
Answer:
the asnwer is 36!
Step-by-step explanation:
Answer:
the area of triangle is
Step-by-step explanation:
A=h{b} b
2=2·6
2=6
What is the alternative press?
Answers
Answer:
D. A news organization that is not owned by a corporation.
Step-by-step explanation: