Hi there! :)
Answer:
D. 1980°
Find the sum of the measure of a 13-sided polygon using the formula:
Sum = 180(n-2), where n = number of sides
Therefore:
S = 180(13 - 2)
S = 180(11)
S = 1980°
Find the a. MEAN and b. STANDARD DEVIATION for the data set. Round to two decimal places.
10) Country Number of Television Sets per 100 people
A 124
B 94
C 129
D 109
E 114
A) a. 115
b. 13.69
B)
a. 114
b. 13.69
C)
a. 114
b. 169
D) a. 113
b. 13.69
Provide an appropriate response.
11) If an adult male is told that his height is within 2 standard deviations of the mean of the normal distribution of heights of adult males, what can he assume?
A) His height measurement is in the same range as about 99.7% of the other adult males whose heights were measured.
B) His height measurement is in the same range as about 95% of the other adult males whose heights were measured.
C) He is taller than about 99.7% of the other men whose heights were measured.
D) He is taller than about 95% of the other men whose heights were measured. The scores on a driver's test are normally distributed with a mean of 100. Find the score that is:_____
12) Find the score that is 2 standard deviations below the mean, if the standard deviation is 26.
A) 126
B) 48
C) 152
D) 74
Suppose that prices of a certain model of new homes are normally distributed with a mean of $150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid:____
13) between $147,700 and $152,300 if the standard deviation is $2300.
A) 34%
B) 95%
C) 99.7%
D) 68%
14) more than $154,800 if the standard deviation is $2400.
A) 95%
B) 2.5%
C) 47.5%
D) 97.5%
A set of data items is normally distributed with a mean of 60. Convert the data item to a z-score, if the standard deviation is as given. 15) data item: 100; standard deviation:_____
a) 10
b) 40
c) 10
d) 4/3
Answer:
Explained below.
Step-by-step explanation:
(10)
The data set is:
S = {124, 94, 129, 109, 114}
The mean and standard deviation are:
[tex]\bar x=\frac{1}{n}\sum x=\frac{1}{5}\times [124+94+...+114]=114\\\\s=\sqrt{\frac{1}{n-1}\sum ( x-\bar x)^{2}}[/tex]
[tex]=\sqrt{\frac{1}{5-1}\times [(124-114)^{2}+(94-114)^{2}+...+(114-114)^{2}]}\\=\sqrt{\frac{750}{4}}\\=13.6931\\\approx 13.69[/tex]
The correct option is B.
(11)
According to the Empirical 95% of the data for a Normal distribution are within 2 standard deviations of the mean.
So, the adult male's height is in the same range as about 95% of the other adult males whose heights were measured.
The correct option is B.
(12)
Let the score be X.
Given:
μ = 100
σ = 26
[tex]X=\mu-2\sigma[/tex]
[tex]=100-(2\times 26)\\=100-52\\=48[/tex]
The correct option is B.
(13)
Let X be the prices of a certain model of new homes.
Given: [tex]X\sim N(150000, 2300^{2})[/tex]
Compute the percentage of buyers who paid between $147,700 and $152,300 as follows:
[tex]P(147700<X<152300)=P(\frac{147700-150000}{2300}<\frac{X-\mu}{\sigma}<\frac{152300-150000}{2300})[/tex]
[tex]=P(-1<Z<1)\\=0.68\\[/tex]
According to the 68-95-99.7, 68% of the data for a Normal distribution are within 1 standard deviations of the mean.
The correct option is D.
(14)
Compute the percentage of buyers who paid more than $154,800 as follows:
[tex]P(X>154800)=P(\frac{X-\mu}{\sigma}>\frac{154800-150000}{2400})[/tex]
[tex]=P(Z>2)\\=0.975\\[/tex]
According to the 68-95-99.7, 95% of the data for a Normal distribution are within 2 standard deviations of the mean. Then the percentage of data above 2 standard deviations of the mean will be 97.5% and below 2 standard deviations of the mean will be 2.5%.
The correct option is D.
(15)
The z-score is given as follows:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
reduce the following fractions to their lowest terms: a. 6/8. b. 8/12c. 15/20 d. 9/18 e. 24/30 f. 25/40
Answer:
That's my slovings for your question
Dan invests £11125 into his bank account. He receives 3.3% per year simple interest. How much will Dan have after 4 years? Give your answer to the nearest penny where appropriate.
Answer:
£11564.54
Step-by-step explanation:
100 + 3.3 = 103.3%
103.3% = 1..013
£11125 x 1.013^3 = £11564.54
I hope this helped you!
What is 10% of 800Hhhhhhhhhhhh
A past survey of students taking a standardized test revealed that % of the students were planning on studying engineering in college. In a recent survey of students taking the SAT, % of the students were planning to study engineering. Construct a % confidence interval for the difference between proportions by using the following inequality. Assume the samples are random and independent.
The confidence interval is __
Complete Question
The complete question is shown on the first uploaded image
Answer:
The 95% confidence interval is [tex]-0.00870 <p_1 -p_2 < -0.007297[/tex]
Step-by-step explanation:
From the question we are told that
The first sample size is [tex]n_1 = 1068000[/tex]
The first proportion [tex]\r p_1 = 0.084[/tex]
The second sample size is [tex]n_2 = 1476000[/tex]
The second proportion is [tex]\r p_2 = 0.092[/tex]
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha = (100 - 95)\%[/tex]
[tex]\alpha = 0.05[/tex]
From the normal distribution table we obtain the critical value of [tex]\frac{ \alpha }{2}[/tex] the value is
[tex]Z_{\frac{\alpha }{2} } =z_c= 1.96[/tex]
Now using the formula from the question to construct the 95% confidence interval we have
[tex](\r p_1 - \r p_2 )- z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} } <p_1 -p_2 < (\r p_1 - \r p_2 )+ z_c \sqrt{ \frac{\r p_1 \r q_1 }{n_1} + \frac{\r p_2 \r q_2 }{n_2} }[/tex]
Here [tex]\r q_1 = 1 - \r p_1[/tex]
=> [tex]\r q_1 = 1 - 0.084[/tex]
=> [tex]\r q = 0.916[/tex]
and
[tex]\r q_2 = 1 - \r p_2[/tex]
=> [tex]\r q_2 = 1 - 0.092[/tex]
=> [tex]\r q_2 = 0.908[/tex]
So
[tex](0.084 - 0.092 )- (1.96)* \sqrt{ \frac{0.092* 0.916 }{1068000} + \frac{0.084* 0.908 }{1476000} } <p_1 -p_2 < (0.084 - 0.092 )+ (1.96)* \sqrt{ \frac{0.084* 0.916 }{1068000} + \frac{0.092* 0.908 }{1476000} }[/tex]
[tex]-0.00870 <p_1 -p_2 < -0.007297[/tex]
Does anyone know how to solve this? I tried moving the 3 back to make it log 2 (x^3) but for the second one it would be (5x)^2 and I get stuck there
Answer:
x = 100
Step-by-step explanation:
All you need is contained in the sheet attached
Answer:
x = 100
Step-by-step explanation:
3 log2(x) - 2 log2(5x) = 2
We know that a log(c) = log c^a
log2(x)^3 - log2(5x)^2 = 2
log2(x^3) - log2(25x^2) = 2
We know that log a - log b = log a/b
log2(x^3 /25x^2) = 2
Simplify
log2(x /25) = 2
Raise each side to base 2
2^log2(x /25) = 2^2
x/25 = 4
Multiply each side by 25
x = 4*25
x = 100
During a festival, the number of visitors tripled each day.
If the festival opened on a Thursday with 300 visitors, what
was the attendance on Sunday?
Answer:
24,300
Step-by-step explanation:
So on Thursday you have 300 next day it's 900 bc 300x3=900
Friday: 900x3=2,700
Saturday: 2,700x3=8,100
Sunday: 8,100x3=24,300
Will mark the brainliest for correct answer!!!
Answer:
hexagon; not regular
Step-by-step explanation:
hope this helps
In 2003, the population of an African country was about 10.2 million people, which is 1 million more than 4 times the population in 1950. Enter and solve an equation to find the approximate population p (in millions) in 1950. An equation is . The approximate population in 1950 was million people.
Solve for c
C – 7 = -9
Answer: -2
Step-by-step explanation:
-2 - 7 = -9
Answer:
[tex]\Huge \boxed{c=-2}[/tex]
Step-by-step explanation:
[tex]c-7=-9[/tex]
We need to isolate the [tex]c[/tex] variable on one side of the equation.
Adding 7 to both sides of the equation.
[tex]c-7+7=-9+7[/tex]
Simplifying the equation.
[tex]c=-2[/tex]
if m<2, then m<1 is...
Answer:
45
Step-by-step explanation:
m<1 and m<2 are complementary angles because the sum of two angles = 90° and since m<1 = m<2
90 ÷ 2 = 45
need help with this question
Answer:
25) -76
26) -23
27) 21
28) 8
Step-by-step explanation:
25) (-32)-44=-32-44=-76
26) (-12)+(-11)=-12-11=-23
27) 2+15+4=17+4=21
28) 16+(-13)+5=16-13+5=3+5=8
Step-by-step explanation:
Hope it helps u mate
plz mark it as brainlist
What is value of
X+8
Enter your answer in the box
2x-5
B
10
14
Plz help
Answer:
not 100% but i think x may be 23.5
Step-by-step explanation:
The values of (x+8) and (2x-5) are 35 and 49 respectively.
What is a triangle?A triangle is defined as a two-dimensional shape with three sides, three interior angles, and three vertices.
Given a triangle, ABC
We have,
(x+8)/10 = (2x-5)/14
7x+56 = 10x-25
3x = 81
x = 27
X+8 = 35
2x-5 = 49
Hence, The values of (x+8) and (2x-5) are 35 and 49 respectively.
For more references on triangles, click;
https://brainly.com/question/2773823
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A line slope of 2 passes through the point (4,8). What is the equation in slope-intercept form?
A right triangle has vertices (−7,9),(3,9),(−7,−15). Find the perimeter of the triangle.
The perimeter of a triangle is 60 units if the right triangle has the vertices (-7, 9), (3, 9), (-7, -15).
What is meant by perimeter?The perimeter calculation has various practical uses. A calculated perimeter is the length of fencing required to encircle a yard or garden. The circumference (perimeter) of a wheel/circle specifies how far it will roll in one revolution.
If the lengths of the triangle's sides are a, b, and c, the perimeter is the sum of their lengths:
P = a + b + c
The distance formula can be used to calculate any of the side lengths. However, because two of the sides are parallel to the axes, their lengths may be simply calculated by subtracting coordinates.
If the points are designated A, B, and C in that sequence, the two right-angle sides are as follows:
c = AB
= 3 -(-7)
= 10
b = AC
= 9 -(-15)
= 24
The Pythagorean theorem states that the third side of the relation can be found:
a² = b² +c²
a² = 10² +24² = 676
a=√676
a= 26
Now we can plug these numbers into the perimeter formula:
P = a + b + c = 26 + 24 + 10
P = 60
As a result, the perimeter of a triangle is 60 units.
To know more about perimeter, visit:
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20 points! Each month, Sal must pay for car insurance and fuel to drive a vehicle. Sal's parents agree to pay p percent of his car expenses. The cost of car insurance is the same every month, but the cost of fuel depends on d, the number of miles Sal drives. The expression (1−p)(0.10d+60) represents how much Sal must pay toward his monthly car expenses. Which part of the expression represents the percentage of the monthly expenses that Sal must pay? 0.10d + 60 1−p 60 0.10d
Answer:
1 - p
Step-by-step explanation:
The cost of insurance is constant, this is 60.The cost of fuel is 0.10d as d is the number of miles.The only variable left is 1-p which represents the percentage of expensesSo the answer is:
1 - pAnswer:
1-p
Step-by-step explanation:
I took the test and this was the answer.
Please help. Will select brainliest.
Answer:
Heptagon: D
Spetagon: D
Nonagon: B
simplify (1-√3)(⅓+√3) leaving your answer in the form p+q√3
Answer:
[tex]\frac{-8 +2\sqrt{3} }{3}[/tex]
Step-by-step explanation:
When working with surds we need to take note of the roots present there.
To expand this equation we can do it the following way noting that √3 X √3 = 3
Expanding (1-√3)(⅓+√3)
1 X 1/3 = 1/3
1 X √3 = √3
-√3 X 1/3 =-√3/3
√3 X √3 = 3
hence, expanding the equation, we have
1/3 + √3 -√3/3 + 3
We can simply group the like terms and add them up.
[1/3 +3] +[√3-√3/3]
10/3 + [tex]\frac{2\sqrt{3} }{3}[/tex]
= [tex]\frac{-8 +2\sqrt{3} }{3}[/tex]
g In a multiple choice exam, there are 5 questions and 4 choices for each question (a, b, c, d). Nancy has not studied for the exam at all and decides to randomly guess the answers. What is the probability that: (a) the first question she gets right is the 5th question
Answer:
81 / 1024
Step-by-step explanation:
First, let's find the total number of ways that Nancy can choose random choices for the questions. This would be 4 * 4 * 4 * 4 * 4 = 4⁵ = 1024 because there are 4 choices and 5 questions. In order for first question she gets right to be the 5th question, she has to get the first 4 questions wrong. Therefore, since there are 4 choices for each question and only 1 of them is right, she has 4 - 1 = 3 options for the first 4 questions and only 1 option for the 5th one, so the total number of "successful" ways Nancy can do this would be 3 * 3 * 3 * 3 * 1 = 81. Therefore, the probability is 81 / 1024.
A(n) ___
is a numerical summary of a population.
Answer:
parameter
Step-by-step explanation:
pt 2 6-7 Pleaseee Helpp
Answer:
w = 15
Step-by-step explanation:
5
x ___w___ = 3 x 5
5
w = 15
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------
Answer: w = 15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[tex]\frac{w}{5} = 3[/tex]
Multiply both sides by 5.
[tex]w = 3 \times 5[/tex]
Multiply 3 and 5 to get, you guessed it, 15!Which equation shows a slope of 3 and a y-intercept of (0,7) ?
Answer: y = 3x + 7
Step-by-step explanation:
Since we are given the slope and y intercept we could write the equation in slope intercept form as y=mx +b .Only m and b are needed to write the equation.M is the slope and B is the y intercept.
Answer:
y=3x+7
Step-by-step explanation:
The equation of a line in slope-intercept form is:
y=mx+b
where m is the slope and b is the y-intercept.
We know the slope is 3, so we can substitute 3 in for m.
y=3x+b
We also know the y-intercept is (0,7). When writing the equation of a line in this form, we can ignore the x-coordinate of 0. Therefore, the y-intercept is also just 7. Substitute 7 in for b.
y=3x+7
The equation of a line with a slope of 3 and a y-intercept of (0,7) is y=3x+7
Does anyone know this?
Answer:
first option is right
Step-by-step explanation:
the projected number of employed writers and authors in 2016 is 153,000. 12.4% of those will have some college experience but no degree, and 84.1% will have a bachelors degree or higher. If this holds true, how many more writers and authors with bachelors degree will be there than those with only some college experience and no degree?
Answer:
Step-by-step explanation:
12.4% 153000 = 12.4/ 100 * 153000 = 0.124 * 153000 = 1897
84.1% 153000 = 84.1/100 * 153000 = 0.841 * 153000 = 128673
The difference (and the answer) is 128673 - 1897 = 126776
Note: 3.5% are not accounted for. They probably just sat down and wrote.
It is also known that customers will spend an average of $178 on additional maintenance. The standard deviation of the expenses is $50. If a simple random sample of 100 customers is taken: What is the probability that the sample mean will be between 166.75 and $170.50
Answer:
probability that the sample mean will be between 166.75 and $170.50 = 0.42816
Step-by-step explanation:
We are given;
Mean; μ = $178
Standard deviation; σ = $50
Now, we want to find the probability that the sample mean will be between $166.75 and $170.50.
Thus, we'll use the z-score formula;
z = (x - μ)/σ
So;
Lower limit of z is;
z = (166.75 - 178)/50
z = -0.225
Upper limit of z is;
z = (170.50 - 178)/50
z = -0.15
From the z-distribution table attached, the area between -0.225 and -0.15 is;
0.44038 - 0.01222 = 0.42816
Describe the relationship between the values of the two 7s in the number 3,772 what equation could you use to help describe the relationship
Answer:
y = 10x, which is the relationship between two 7 in the number 3772
Step-by-step explanation:
In the given number 3772
3 is at thousandth position its value is 3000 numerically
7 is at the hundredth position its value is 700 numerically
next 7 is at tens position its value is 70 numerically
and 2 is at unit position its value is 2 numerically
thus, 3772 can also be written as sum of number based on its position
3000
+700
+ 70
+ 2
___-
= 3772
Thus,
since Third 7 from left has value of 70
and Second 7 from left has value of 700
we know 70*10 = 700
Thus, 70 is 10 times to that 700
Thus, we can say that
value of Second 7 from left = 10*value of Third 7 from left
Thus,
let value of Second 7 from left be y
value of Third 7 from left be x
then
y = 10x, which is the relationship between two 7 in the number 3772
If you roll a 6-sided die 4 times, what is the probability of one roll being a multiple of 3? A)2/3 B)16/81 C)145/1296 D)65/81 E)625/1296 (I really need help! Pls answer fast!)
Answer:
671/1296
The probability of rolling at least one six is therefore 1 − 625/1296 = 671/1296 ≈ . 517.
Step-by-step explanation:
Answer:
671/1296
Step-by-step explanation:
A password contains three digits, such as 175. How many different passwords can be formed?
Answer: There are 1000 different passwords.
Step-by-step explanation:
Given: A password contains three digits.
Number of digits from 0 to 9 = 10
Using fundamental principle of counting,
The number of different passwords = (Number of choices for digits) x (Number of choices for digits) x (Number of choices for digits)
= (10) x (10)x (10)
=1000
Hence, there are 1000 different passwords.
Choose the function that correctly identifies the transformation of f(x) = x2 shifted two units down and one unit to the left. g( x) = ( x + 1) 2 + 2 g( x) = ( x - 1) 2 + 2 g( x) = ( x + 1) 2 - 2 g( x) = ( x - 1) 2 - 2
Answer:
g(x)= (x +1)^2 -2
Step-by-step explanation:
Luke is 5 years younger than 3 times Sydney's age, s. In this situation, what does 3s represent?
0 Luke's age
O Sydney's age
o three times Luke's age
O three times Sydney's age
Answer:
Step-by-step explanation:
'3s' represents 'three times Sydney's age.'
Answer:
three times Sydney's age
Step-by-step explanation:
i took a test on this