Answer: Find the measures of an exterior angle and an interior angle given the number of sides of each regular polygon. Round to the nearest tenth, if necessary. 24 b 15, 345 24, 156 7.5, 172.5 15, 165
Step-by-step explanation: sum, S, of the measure of the interior angles of a polygon with n sides is: ... The sum of the interior angles of a 24 -gon is 3960. ... angles of a polygon is (n−2)⋅180 , where n is the number of sides. ... Each exterior angle measures 36024=15 . ... The sum of the 24 interior angles is then 24⋅165=3960 .
what is the quotient of 2 1/5 ÷ -1/10
Answer:
-22
Step-by-step explanation:
Answer: 22
Step-by-step explanation:
ik bc i got it wrong on the test n is said the answer was 22
How to solve trigonometric functions such as
sin 2x sin x + cos x= 0
Use the double angle identity:
sin(2x) = 2 sin(x) cos(x)
Now rewrite
sin(2x) sin(x) + cos(x) = 0
as
2 sin²(x) cos(x) + cos(x) = 0
Factor out cos(x) :
cos(x) (2 sin²(x) + 1) = 0
Consider the two cases,
cos(x) = 0 OR 2 sin²(x) + 1 = 0
Solve for cos(x) and sin²(x) :
cos(x) = 0 OR sin²(x) = -1/2
Squaring a real number always gives a non-negative number, so the second case doesn't offer any real solutions. We're left with
cos(x) = 0
Cosine is zero for odd multiples of π/2, so we have
x = (2n + 1) π/2
where n is any integer.
A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state the senator represents and compares the approval ratings before the decision to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the ratings are normally distributed. Using a test statistic oft -3.935, the significance level Q=0.05, and the corresponding p-value less than 0.01, draw a conclusion for the appropriate hypothesis test, where the null hypothesis is H. : = 0 and the alternative hypothesis is H. : < 0.
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
Complete Question
A political analyst believes that a senator's recent decision to support a bill resulted in a drop of approval ratings. To test this claim, he selects random cities in the state the senator represents and compares the approval ratings before the decision to the approval ratings after the decision. Suppose that data were collected for a random sample of 8 cities, where each difference is calculated by subtracting the percent approval rating before the decision from the percent approval rating after the decision. Assume that the ratings are normally distributed. Using a test statistic oft -3.935, the significance level Q=0.05, and the corresponding p-value less than 0.01, draw a conclusion for the appropriate hypothesis test, where the null hypothesis is [tex]H_o. : \mu_d= 0[/tex] and the alternative hypothesis is [tex]H. : \mu_d < 0[/tex]
a. Reject the null hypothesis.
b. Fail to reject the null hypothesis.
c. The conclusion of the hypothesis test is that there is sufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
d. The conclusion of the hypothesis test is that there is insufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
Answer:
The correct option is a and c
Step-by-step explanation:
From the question we are told that
The sample size is n = 8
The test statistics is t = -3.935
The level of significance is [tex]\alpha = 0.05[/tex]
The p-value is [tex]p-value = 0.01[/tex]
From the data given we see that the [tex]p-value < \alpha[/tex] hence
The decision rule is
Reject null hypothesis
The conclusion
There is sufficient evidence to suggest that there was a drop in approval ratings in cities after the decision to support the bill.
please help me with 11th grade math // Geometry
Answer:
I sent I the answers on ur account
PLEASE HELP WILL GIVE BRAINLIEST
Answer:
3
Step-by-step explanation:
An object has velocity of 8 m/s and kinetic energy of 480j what is the mass of the object
==============================================
Work Shown:
KE = 480
v = 8
KE = (1/2)*m*v^2
480 = 0.5*m*8^2
480 = 0.5*m*64
480 = 0.5*64m
480 = 32m
32m = 480
m = 480/32
m = 15
The SI unit for mass is in kilograms
Also a joule is defined with kilograms since 1 J = 1 kg*m/s^2
1 joule is the amount of energy needed to move an object of mass 1 kg with an acceleration of 1 m/s^2
So this is why the mass m is in kilograms.
Rendell cycles 42 km at an average speed of 18 km/hr. Find the time taken, giving your
answer as a fraction of an hour in its simplest form.
Answer:
u
Step-by-step explanation:
Zane has a bowl of raspberries and blackberries. There are 2 more raspberries than
blackberries, and there are 18 berries in all. How many blackberries does Zane have?
blackberries
Answer:
8 raspberries
Step-by-step explanation:
From start to finish, a machine can fill a bottle of water, seal it, label it, and pack it in 8.6 seconds. About how many bottles of water are packed in 480 seconds?
20 bottles
40 bottles
25 bottles
50 bottles
Answer:
50 bottles
Step-by-step explanation:
8.6×50=430 seconds so that the answer is 50 bottles
Answer:
i belive the answer is 50. correct me if im wrong.
Step-by-step explanation:
Write the absolute value and the opposite values of the numbers listed in the table. 15,-93,56,-87
Answer:
initial value opposite value absolute value
15 -15 |15|
-93 93 |93|
56 -56 |56|
-87 87 |87|
Step-by-step explanation:
find the two angle measures from diagram 8x+10 12x-18
Answer:
66 and 66Step-by-step explanation:
Given angles are vertical angles
Vertical angles are equal as per vertical angles theorem
8x + 10 = 12x - 1812x - 8x = 10 + 184x = 28x = 7The angles measure
8*7 + 10 = 56 + 10 = 6615=5k-13 whats the letter
Answer:
k= 5.6
Step-by-step explanation:
Sam spends $1200 on his education, which is of his salary. Hiis salary is
$4500.
Answer:
3200
Step-by-step explanation:
Answer:
3300
Step-by-step explanation:
You have nine subjects to split into three groups. You need to select the first three subjects from the list of names provided below.
1. Berliner
2. Blumenthal
3. MacEachern
4. Wolfe
5. Stasny
6. Santner
7. Verducci
8. Lin
9. Critchlow
To do this, use the numerical labels attached to the previous names and the following list of random digits. Read the list of random digits from left to right, starting at the beginning of the list.
44982 20751 27498 12009 45287 71753 98236 66419 84533 11793 20495 0590711384 The simple random sample is:_________.
a. Wolfe, Lin, and Critchlow.
b. 449
c. 498.
d. Wolfe twice and Critchlow.
Answer:
a. Wolfe, Lin, and Critchlow
Explanation:
We choose random sample of subjects based on the first random number from left to right and since 4(number appears two times so we wait for next different number) and 9 come first we choose Wolfe and critchlow. The third Subject as we have to choose 3 subjects per sample is Lin since her number 8 appears next. Also the order doesn't matter so we could have Wolfe, Lin, and Critchlow or Critchlow, Lin, Wolfe or in any other order
PLLLLLLLLSSSSSS HELLLLLLPPPPPP MEEEEEE Simplify: 29/4
Answer:
71/4 (I think) is the answer
im not sure srry if its not right
Step-by-step explanation:
I hope this helps!!!
Answer:
7 1/4
Step-by-step explanation:
Meadow is growing her hair out. The graph below shows how much her hair has
grown over the last 8 months.
Meadow's Hair
5
4
3
Inches of Growth
2
1
1
0
1 2 3 4 5 6 7 8
Months of Growth
Which of the following shows the rate at which Meadow's hair is growing?
I need the same one and 8,7 too
Please hurry it’s urgent thank you
Answer:
[tex]b^{9}[/tex]
Step-by-step explanation:
3 + (-5) + 11 = 9
Bailey sold 59 flags at a parade. She has 37 flags left. How many flags did she have before the parade
Answer:
98 flags
Step-by-step explanation:
59+37=98
What is the y-intercept
Answer:
7
Step-by-step explanation:
The y-intercept is the value of y when x = 0. In other words, the point the line intersects at the y-axis. By looking at the graph, you can tell the line intersects the y-axis at point (0, 7).
3(4x-7)=27
how do i solve this ?
Answer:
x=4
Step-by-step explanation:
3(4x-7)=27
Divide each side by 3
3/3 (4x-7)=27/3
4x-7 = 9
Add 7 to each side
4x-7+7 = 9+7
4x = 16
Divide each side by 4
4x/4 = 16/4
x = 4
The sum of any number and its ______
equals 0.
Answer:
The sum of the real number (a) and its opposite real number (-a) is zero
Step-by-step explanation:
5 + (-5) = 0 and (-5) + 5 = 0
or, 5 - 5 = 0 and -5 + 5 = 0
Here 5 is real number and (-5) is it's opposite real number. Sum of 5 and (-5) is zero.
In the diagram below m DEF = 115°
Find the measure of GEF
What equation is perpendicular to y = 3/2x-3 and passes through (-1, 2)?
Answer:
y=2/3x-16/3
Step-by-step explanation:
Find perpendular by using negative reciprocal. Then plug in your x and y points into that equation, y=-2/3x-3 --> Then make y=2 and x=-1 --> 2=2/3(-1)+b
solve for b and ur done.
A cake is made from the ingredients listed below.
500 g flour, 450 g butter, 470 g sugar,
1.8 kg mixed fruit, 4 eggs (70 g each)
The cake loses 12% of its mass during cooking.
What is its final mass?
To make a cake :-
Quantity of flour needed = 500 g
Quantity of butter needed = 450 g
Quantity of sugar needed = 470 g
Quantity of mixed fruit needed = 1.8 kg = 1000 g + 800 g
Quantity of eggs needed = 70 × 4 = 280 g
It's weight after adding all the ingredients =
=500 + 450 + 470 + 1000 + 800 + 280
= 3500 g
Mass that got lost while baking the cake :
= 12 % of 3500[tex] = \frac{12}{100} \: of \: 3500[/tex]
[tex] = \frac{12}{100} \times 3500[/tex]
[tex] =\frac{(12 \times 3500)}{100} [/tex]
[tex] =\frac{42000}{100} \: g[/tex]
[tex] = 420 \: g[/tex]
Final mass = Initial mass - mass that got lost
[tex] = 3500 - 420 \: g[/tex]
[tex] = 3080 \: g[/tex]
∴ The final mass of the cake is 3080 g .
A cube has a side length of 20 in . find the value
Insert < or > to form a true statement -17/18,3/5
Answer:
-17/18< 3/5
Step-by-step explanation:
positive is always greater than negative
Sarah hired a painter to paint her bedroom walls and ceiling. Each of the four bedroom walls is 18 ft. long and 8 ft. high. Two walls each have one door,
and both doors measure 3 ft. by 7 ft. One wall has a window that is 3 ft. by 5 ft. The doors and window do not have to be painted
What is the area of the wall space that has to be painted?
Answer:
Step-by-step explanation:
519 I believe
Urgent! It's due today!
Line A is parallel to line b. If the measures of <2 is 78o, what is the measure of <5?
Answer:
∠7 = 102°
Step-by-step explanation:
∠2 ≅ ∠6 [Corresponding Angles]
So,
∠6 = 78°
Now,
∠6 + ∠7 = 180°
Where ∠6 = 78°
78° + ∠7 = 180°
∠7 = 180° - 78°
∠7 = 102°
Hope this helped!
~AnonymousHelper1807Do,_1/2 of Z is.
HELP!!! Do not understand!!
MULTIPLE CHOICE!!! pls tell me if it’s a, b, or c and provide a brief explanation