Answer:
Interior angle
176 degrees
Exterior
4 degrees
Step-by-step explanation:
Exterior angle
For any polygon, the measure of the total exterior angle is 360
To get the individual exterior angle, we divide the total by n, which is the number of sides, 90 in this case
We have this as;
360/90 = 4
Interior
To get the measure of each interior angle, we use the formula below;
[(n-2)180]/n
n in this case is 90
So we have
[(90-2)180]/90
= (88 * 180)/90
= 2 * 88 = 176
The school board claims that 85% of the over 1,600 families with children in their district send their
children to public school. Skeptical of this claim, a private school administrator takes a simple random
sample of 120 families with children in the district and asks them whether they send their children to
public school.
Assuming the school board's claim is correct, what is the probability that the administrator's results are
within 5 percentage points of the school board's 85% claim?
Answer:
P(0.8< p ^ <0.9)≈0.87
Step-by-step explanation:
trust me
The probability that the administrator's results are within 5 percentage points of the school board's 85% claim is approximately 0.919.
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
To find the probability that the administrator's results are within 5 percentage points of the school board's 85% claim, we need to find the probability that the sample proportion of families sending their children to public school is between 80% and 90%.
We can use the normal approximation to the binomial distribution to calculate this probability. Since the sample size is large (n = 120) and the population proportion is not too close to 0 or 1 (p = 0.85), we can use the normal approximation.
The mean of the sampling distribution is the population proportion, which is 0.85 in this case. The standard deviation of the sampling distribution is given by the formula:
SD = √((p × (1 - p)) / n)
Plugging in the values, we get:
SD = √((0.85 (1 - 0.85)) / 120)
= √(0.01225 / 120)
= √(0.0001010417)
= 0.0101
Now we can use the normal distribution calculator to find the probability that the sample proportion is between 0.80 and 0.90. Plugging in the mean (0.85) and standard deviation (0.0101) and the upper and lower limits (0.80 and 0.90), we get a probability of 0.919.
Therefore, the required probability is approximately 0.919.
Learn more about probability here:
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If it is 2$ and it was 75 percent off what is the original price?
Answer:
$8
Step-by-step explanation:
If it's 75% of that mean 2=25%
multiply it by 4 to get 8
can you round 16.191
Answer:
Yes,
rounding to the nearest hundrenth would be 16.19
rounding to the nearest tenth would be 16.2
and rounding to the nearest ones place would get you 16
Step-by-step explanation:
answer to (3j–1)+(–5j–4) ??
Answer:
-2j - 6
Step-by-step explanation:
3j - 2 + (-5j) - 4
3j - 2 - 5j - 4
-2j - 6
Find the area of the right triangle
Answer:
12 is the area
Step-by-step explanation:
Area is multiplication
2 width
6 length
2 times 6
A figure has side lengths as marked in the diagram.
What is the area of the figure?
Answer:
132.4
Step-by-step explanation:
Which 2 variables are most likely to show a negative correlation when represented on a scatter plot?
Answer:
Water level and temperature
Step-by-step explanation:
Scatter plots are used to graph linear data containing to two variables, with the independent variable on the x - axis and the dependent variable on the y-axis. Linear data graphed on a scatter plot may be positive or negative depending on the type of relationship which exists between the two variables. Positive relationships are represented by positive slopes, with x increasing as y increases. Negative relationship on the other hand results in a reduction in Y as X increases and vice versa. Examples of negative correlation include the association between water level and temperature. ; water level will usually decrease as temperature rises. Therefore, any association between variables whereby a increase in one leads to a corresponding decrease on the other is tagged as a negative correlation.
Can someone please help me answer this??
In other words, y-2 goes in the first box and 5 goes in the second box.
=================================================
Work Shown:
y^2 - 4y - x + 9 = 0
y^2 - 4y + 9 = x
x = y^2 - 4y + 9
x = y^2 - 4y + 4 + 5 .... rewrite 9 as 4+5
x = (y^2-4y+4) + 5
x = (y-2)^2 + 5 .... apply the perfect square factoring rule
So we'll have y-2 go in the first box and 5 goes in the second box
note: One version of the perfect square factoring rule says (a-b)^2 = a^2-2ab+b^2.
A photo processing place can develop 416 photos in 8 hours. How many photos can it develop every hour?
Answer:
52 photos per hour
Step-by-step explanation:
8 goes into 400 50 times, and goes into the remaining 16 twice. Therefore, 416 photos/8 hour=52
Answer:
A) 52
Step-by-step explanation:
What is the rate of change of the function represented by the table? X 1 2 3 4, Y 5 5 5 5.
0
1
4
5
Answer:
Rate of change looks to be 0
Answer:
A or in other words its 0
Step-by-step explanation:
Jerome bought 2 postcards and received $1.50 in change in quarters,dimes. And nickels.The nickels, were worth $0.15.If he got 9 coins, back how many of each coin did he get
Answer:
Jerome got 5 quarters, 1 dime and, and 3 nickels.
Step-by-step explanation:
Let's define the variables:
N = number of nickels he got
D = number of dimes he got
Q = number of quarters he got
We know that the nickels were worth $0.15
And each nickel is whort $0.05
Then:
N*$0.05 = $0.15
N = $0.15/$0.05 = 3
N = 3
Now we also know that there is a total of 9 coins, then:
N + D + Q = 9
3 + D + Q = 9
D + Q = 9 - 3 = 6
D + Q = 6
And we also know that the total change received is $1.50, then:
D*$0.10 + Q*$0.25 + N*$0.05 = $1.50
We know that N = 3, then we can replace that and get:
D*$0.10 + Q*$0.25 + 3*$0.05 = $1.50
D*$0.10 + Q*$0.25 = $1.50 - $0.15 = $1.35
D*$0.10 + Q*$0.25 = $1.35
Then we have two equations:
D + Q = 6
D*$0.10 + Q*$0.25 = $1.35
To solve this, we can isolate one of the variables in one of the equations, i will isolate D in the first one:
D = 6 - Q
Now we can replace this in the other equation:
(6 - Q)*$0.10 + Q*$0.25 = $1.35
Now we need to solve this for Q.
$0.60 - Q*$0.10 + Q*$0.25 = $1.35
Q*$0.15 = $1.35 - $0.60 = $0.75
Q = ($0.75)/($0.15) = 5
Q = 5
Then Jerome has 5 quarters.
Now we can return to the equation:
N + Q + D = 9
We already know that:
N = 3
Q = 5
Then if we replace those in the equation, we get:
3 + 5 + D = 9
8 + D = 9
D = 9 - 8 = 1
D = 1
Put the following equation of a line into slope-intercept form, simplifying all fractions.
Answer:
[tex]4x+6y=-30\\\\6y=-4x-30\\\\y=\frac{-4x}{6} -\frac{30}{6} \\\\ y=\frac{-2}{3} x-5[/tex]
Step-by-step explanation:
I hope this helps
have a nice day!! :)
anyone tell me the answer
Answer: 0.9 is the same as 9 tenths
0.009 is the same as 9 thousandths
Tell whether the ordered pair is a solution.
y=4x
(1,4)
Answer:
It’s a solution
Step-by-step explanation:
Please help me out with this!
Answer:pooor guy hope u get it
Step-by-step explanation:
Find the missing length of the triangle 12 in and 35 in.
Answer:
37
Step-by-step explanation:
The answer is 37 I tried it and its right
Ann has two more than twice the amount of toffees Mary has. Total number of
toffees among them is 11. (i) Assuming the number of toffees Mary has is x, build up an equation.
Answer:
SO THE EQUATION IS
2 + 2X = 11
Help please!!!!!!!!!!!
Answer: x = 12, ∠B = 45°
Step-by-step explanation:
Angle A and Angle B are alternate exterior angles meaning that they are equal
5x - 15 = 2x + 21
3x - 15 = 21
3x = 36
x = 12
B = 2(12) + 21
B = 24 + 21
B = 45
Which equation represents a nonlinear function?
Help please!!!
Answer:
C
Step-by-step explanation:
A linear equation cannot have a variable as a denominator. So that makes C a non - linear equation. Also, if you graph C, it is NOT a straight line.
What is the value of c?
C=
plz hurry due today!
Write an equation of a line through the point (-4,-1) that is parallel to the line y= -3/4x + 4
Answer:
y = -3/4x -4
Step-by-step explanation:
Parallel slope = -3/4
(-4,-1)
y - y1 = m(x - x1)
y + 1 = -3/4(x + 4)
y + 1 = -3/4x - 3
y = -3/4x -4
25 Points!!. $1.60 for 8 oz, (cheese)
What’s the unit price?
-2x+2y=6 and 7x+4y=23
Let's solve this problem step-by-step:
Let's set:
[tex]-2x + 2y = 6 -- equation 1\\7x+4y=23 -- equation 2[/tex]
(equation1) * 2
[tex]-4x+4y=12--equation3[/tex]
(equation 2) - (equation 3)
[tex]11x = 35\\x= \frac{11}{11}--equation4\\x=1[/tex]
Plug (equation4)'s value of 'x' into (equation1)
[tex]-2(1} )+2y=6\\-2+2y =6 \\2y = 6+2 =8 \\y =4[/tex]
Thus x= 1 and y = 4
Let's check:
[tex]-2(1 )+2(4)=6\\2 +4 =6\\6=6\\ \\7(1)+4(4) )=23\\7+16=23\\ 23 =23\\[/tex]
Answer: x = 1 and y= 4
Hope that helps!
the length of a rectangle is 1 more than 4 times the width. the perimeter is 92 in. what is the length and width.
Step-by-step explanation:
the 1st side length is 4x+1 if x is the width. 2(length)+2(width)=perimeter
2(4x+1)+2x=92
8x+2+2x=92
10x=90
x=9
width=x=9
length=4x+1=4(9)+1=37
Hope that helps :)
I give brainlest, please help.
HELPP MEEE!
7th gradeee
Find the circumference of the circle. Use 3.14 or 22/7 for TT. Round to the nearest tenth if necessary.
I’ll mark you brainliest!
47.1
the formula of circumference is 2×radius×pi.. so given=radius=7.5
pi=3.14
2×7.5×3.14=47.1
Please someone help with this math problem!!!!
On a day in the month of February the temperature in barrow Alaska is 221*f at the same time the temperature in northway Alaska is 213*f
Give the Full Question then I will solve it..
Help! I will mark brainliest
Answer:
[tex]4[/tex] x [tex]10^{6}[/tex]
Step-by-step explanation:
Answer:
4*10^6
Step-by-step explanation:
9. Find the value of x.
(look at the picture)
Answer:
use the fact that triangles only have room for 180 degrees inside, so all the angles must add up to 180, no more, no less. You can also jsut insert the options for x values until you find the right one(shouldnt take too long).
Step-by-step explanation: