Answer: Given a sample of 200, we are 90% confident that the true proportion of people who watched educational TV is between 72.1% and 81.9%.
Step-by-step explanation:
[tex]\frac{154}{200} =0.77[/tex]
[tex]1-0.77=0.23[/tex]
[tex]\sqrt{\frac{(0.77)(0.23)}{200} }[/tex]=0.049
0.77±0.049< 0.819, 0.721
You have found the following ages (in years) of all 666 lions at your local zoo: 13,2,1,5,2,7 What is the average age of the lions at your zoo? What is the standard deviation? Average age: _____ years old Standard deviation: ____ years
Answer:
[tex]Mean = 5[/tex]
[tex]S_x = 4.123[/tex]
Step-by-step explanation:
Given
Number of Lions, n: 6
Ages: 13, 2, 1, 5, 2, 7
Required
Determine the:
1. Mean
2. Standard Deviation
Mean is calculated as;
[tex]Mean = \frac{\sum x}{n}[/tex]
[tex]Mean = \frac{13+2+1+5+2+7}{6}[/tex]
[tex]Mean = \frac{30}{6}[/tex]
[tex]Mean = 5[/tex]
Standard Deviation is calculated as follows
[tex]S_x = \sqrt{\frac{\sum (x_i - Mx)^2}{N}}[/tex]
Where Mx represent mean
Substitute values for x, Mean and Land
[tex]S_x = \sqrt{\frac{(13 - 5)^2+(2 - 5)^2+(1 - 5)^2+(5 - 5)^2+(2 - 5)^2+(7 - 5)^2}{6}}[/tex]
[tex]S_x = \sqrt{\frac{(8)^2+(- 3)^2+(-4)^2+(0)^2+(-3)^2+(2)^2}{6}}[/tex]
[tex]S_x = \sqrt\frac{64+9+16+0+9+4}{6}}[/tex]
[tex]S_x = \sqrt\frac{102}{6}}[/tex]
[tex]S_x = \sqrt{17}[/tex]
[tex]S_x = 4.123[/tex]
The mean and standard deviation is 5 and 4.123 respectively
We want to find the mean or average and the standard deviation of the given set.
The average age is 5 years old and the standard deviation is 4.52 years old.
We know that for a general set of N elements {x₁, x₂, ..., xₙ} the average or mean is given by:
[tex]M = \frac{x_1 + x_2 + ... + x_n}{N}[/tex]
And the standard deviation is given by:
[tex]S = \sqrt{\frac{(x_1 - M)^2 + ... + (x_n - M)^2}{N - 1}[/tex]
The given set is:
{13, 2, 1, 5, 2, 7}
Now we just need to use the two given formulas for our set.
The mean is:
[tex]M = \frac{13 + 2 + 1+ 5 + 2 +7}{6} = 5[/tex]
And the standard deviation is:
[tex]S = \sqrt{\frac{(13 - 5)^2 + (2 - 5)^2 + (1 - 5)^2 + (5 - 5)^2 + (2 - 5)^2 + (7 - 5)^2}{6 - 1} } = 4.52[/tex]
So the average age is 5 years old and the standard deviation is 4.52 years old.
If you want to learn more you can read:
https://brainly.com/question/12402189
The following data set represents the number of new computer accounts registered during ten consecutivedays:43,37,50,51,58,52,45,45,58,130(a) Compute the mean, median, IQR, and standard deviation(b) Check for outliers using the 1.5(IQR) rule, and indicate which data points are outliers.(c) Remove the detected outliers and compute the new mean, median, IQR, and standard deviation.(d) Make a conclusion about the effect of outliers on the basic descriptive sta
Answer:
Outliers have great effect on the mean and standard deviation of the data set
Step-by-step explanation:
Mean =(43+37+50+51+58+52+45+45+58+130)/10
Mean= 579/10
Mean = 57.9
Arranging in ascending order
= 37,43,45,45,50,51,52,58,58,130
Median= (50+51)/2
Median= 101/2
Median= 50.5
IQR= (130-37)/2
IQR= 93/2
IQR= 46.5
Standard deviation
=√(((37-57.9)²+(43-57.9)²+(45-57.9)²+(45-57.9)²+(50-57.9)²+(51-57.9)²+(52-57.9)²+(58-57.9)²+(58-57.9)²+(130-57.9)²)/10)
Standard deviation= 25.1
1.5*(46.5)= 69.75
The number more than 69.75 is 130 and it's the outlier
Without outlier
Mean= (43+37+50+51+58+52+45+45+58)/9
Mean = 449/9
Mean = 49.88
Arranging in ascending order
= 37,43,45,45,50,51,52,58,58
Median= 50
IQR= (58-37)/2
IQR=21/2
IQR=10.5
Standard deviation
(Score for Question 1: ____ of 5 points)
1. The equation of a circle is x2 + y2 - 4x + 2y - 11 = 0. What are the center and the radius of the circle?
Show your work
Answer:)
Answer:
The center of the circle:
(2, -1)
The radius of the circle:
r = 4
Step-by-step explanation:
The first step is to complete the square on both x and y:
x^2 + y^2 -4x + 2y - 11 = 0
x^2 -4x +y^2 +2y = 11
We determine c1 to complete the square on x:
c1 = (b/2)^2
c1 = (-4/2)^2 = 4
We then determine c2 to complete the square on y:
c2 = (2/2)^2 = 1
The equation of the circle is then re-written as:
x^2 -4x + 4 +y^2 +2y + 1 = 11 +4 +1
We then factorize the expressions in x and y separately:
(x-2)^2 + (y +1)^2 = 16
The center of the circle is thus:
(2, -1)
The radius is the square root of 16:
r = 4
Answer:
center : (2, -1)
radius : r = 4
Step-by-step explanation:
A researcher is interested in determining whether various stimulant drugs improve maze leaming performance in rats. To find out, the researcher recruits 16 rats and assigns 4 rats to one of 4 research conditions: caffeine, nicotine, cocaine, placebo. Each rat completes the maze once and in only one research condition and is timed; time to complete the maze is the researcher's measure of performance. Answer the following questions considering the data below (alpha)
Caffeine Nicotine Cocaine Placebo
30.00 45.00 30.00 60.00
45.00 75.00 30.00 75.00
45.00 60.00 60,00 60.00
45.00 45.00 30.00
What is the dependent variable in this study?
a. Drug condition
b. Time to complete maze
c. Number of rats
d. Research conditions
16. What analysis should be used to answer the researcher's question?
a. One-way between-subjects (a.ka. independent-samples) ANOVA
b. One-way within-subjects (a.k.a. dependent-samples, repeated-measures) ANOVA
c. Factorial ANOVA
d. T-test 17.
What is the Null hypothesis for this analysis?
a. There will be no difference between any group means
b. Maze performance will get worse with stimulants
c. Maze performance of at least one group will differ from typing of at least one other group
d. Maze performance on placebo will be worse than on all drugs
What are the degrees of freedom for the numerator of the F-ratio?
2
3
8
11
What are the degrees of freedom for the denominator of the F-ratio?
2
3
8
11
What is the critical F value for this analysis?
a. 3.49
b. 4.07
c. 6.04
d. 19.00
What is the SSbetween-groups value?
a. 425.00
b. 1181.25
c. 2517.19
d. 3698.44
What is the SSwithin value?
Answer:
1) The dependent variable is : time to complete the maze
2) The analysis used should be : One -way within-subjects ANOVA ( B )
3) Null hypothesis is ; There will be no difference between any group means
4) Degrees of freedom for the numerator of the F-ratio ; 4 - 1 = 3
5) degree of freedom for the denominator = 11
6) critical F value = 3.49
Step-by-step explanation:
The dependent variable is the time to complete the maze this is because the time depends on the effects of the stimulant drugs on the rats in the maze .
The analysis used should be : One -way within-subjects ANOVA ( B )
Null hypothesis is ; There will be no difference between any group means
Degrees of freedom for the numerator of the F-ratio ; 4 - 1 = 3
degree of freedom for the denominator = N - k = 16 - 4 = 12. the closest answer from the options is 11
The critical value is 3.49 ,because at degree of freedom = 12 , ∝ = 0.05, and Dfn = 3, from the F - table the critical value would be 3.49
Given the function, Calculate the following values:
Answer:
[tex]f(-2)=33\\f(-1)=12\\f(0)=1\\f(1)=0\\f(2)=9[/tex]
Step-by-step explanation:
[tex]f(x)=5x^{2} -6x+1\\f(-2)=5(-2)^{2} -6(-2)+1\\f(-2)=5(4)+12+1\\f(-2)=20+13\\f(-2)=33[/tex]
[tex]f(x)=5x^{2}-6x+1\\f(-1)=5(-1)^{2} -6(-1)+1\\f(-1)=5(1)+6+1\\f(-1)=5+7\\f(-1)=12[/tex]
[tex]f(x)=5x^{2}-6x+1\\f(0)=5(0)^{2}-6(0)+1\\f(0)=5(0)-0+1\\f(0)=0+1\\f(0)=1[/tex]
[tex]f(x)=5x^{2}-6x+1\\f(1)=5(1)^{2}-6(1)+1\\f(1)=5(1)-6+1\\f(1)=5-5\\f(1)=0[/tex]
[tex]f(x)=5x^{2}-6x+1\\f(2)=5(2)^{2}-6(2)+1\\f(2)=5(4)-12+1\\f(2)=20-11\\f(2)=9[/tex]
if 10x=1/0.001 find the value of x
[tex]\\ \sf\longmapsto 10x=\dfrac{1}{0.001}[/tex]
Turn over the decimal[tex]\\ \sf\longmapsto 10x=\dfrac{1}{\dfrac{1}{1000}}[/tex]
[tex]\\ \sf\longmapsto 10x=1000[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{1000}{10}[/tex]
[tex]\\ \sf\longmapsto x=100[/tex]
in the diagram, POS,QOT and ROU are straight lines. find the value of x.
==========================================
Explanation:
Angle UOT is vertical to the angle x. This angle combines with 4x and 40 to get a straight angle of 180 degrees
(angle POU) + (angle UOT) + (angle TOS) = 180
4x + x + 40 = 180
5x + 40 = 180
5x = 180-40
5x = 140
x = 140/5
x = 28
Side note: if x = 28, then 4x = 4*28 = 112.
We see that 112+28+40 = 180, which is the sum of the three angles mentioned earlier. Since we got 180, this confirms the answer.
The formula v=at +16t² is used in mechanics.Rewrite to nake a the subject and find it's value when v=27 and t=4
Answer:
[tex]v = at + 16 {t}^{2} \\ v - 16 {t}^{2} = at \\ \frac{v - 16 {t}^{2} }{t} = a \\ (27 - 16 \times {4}^{2}) \div 4 = a\\ \frac{27 - 256}{4} = a\\ \frac{ - 229}{4} = - 57.25 \\ thank \: you[/tex]
Company A charges a $125 annual fee plus $7 per hour car share fee.
Company B charges $110 plus $10 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 6
O Ο Ο
B. 5
C. 9
D. 11
SUBMIT
PREVIOUS
Answer:
6 hours
Step-by-step explanation:
A: y=125+7x
B: y=110+10x
for A to be a better deal than B, 125+7x<110+10x has to be true
subtract 7x from both sides and subtract 110 from both sides of the inequality: 15<3xdivide by 3: 5<xso x has to be greater than 5, im pretty sure it's 6 hours but it might also be 5 depending on how it's taught for youAnswer:
B 5
Step-by-step explanation:
Company A
total cost = 125+7h where h is the number of hours
Company B
total cost = 110 + 10h where h is the number of hours
125 + 7h < 110 + 10h
Subtract 7 h from each side
125 + 7h-7h<110+10h-7h
125 < 110+3h
Subtract 110 from each side
125-110< 110+3h
15 <3h
Divide by 3
15/3 <3h/3
5 <h
More than 5 hours
Shane plants a 6-inch tomato plant in his garden. The plant grows by about 12% per week for several months. Which function definition represents the height of the tomato plant (in inches) as a function of the number of weeks, t since the tomato plant was planted?
Answer:
[tex]f(t)=6(1.12^t)[/tex]
Step-by-step explanation:
every week the plant grows by 12%, so the ratio is 1.12. the original height of the plant is 6. f(x)=a(b^x) such that a=6, b=1.12, and x=t
brainliest to correct
Answer:
27
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
-9 × -3
= 27
Note: When you multiply two integers with same sign, then their product is positive.
In a zoo there are 6 orang-utans for every 3 baboons. There are 27 orang-utans and baboons altogether. How many are orang-utans?
Answer:
18
Step-by-step explanation:
Okay first we know that for every one baboon there is 2 orang-utans (6 / 3 = 2)
So, I like to play the guess and check:
Lets just use the numbers 12 orang-utans and 6 baboons. We know that those two don't equal 27, so thats not it.
Now we can have 18 orang-utans and 9 baboons. 18 + 9 = 27, which means there are 18 orang-utans.
Hope this helps, and have a good day.
Agyappng is three times as old as Atsu .three years ago ,he was four times as old as Atsu ..how old is each boy now
9514 1404 393
Answer:
Atsu is 9Agyappng is 27Step-by-step explanation:
Let x represent Atsu's current age. Then Agyappng is 3x. Three years ago the relationship was ...
(3x -3) = 4(x -3)
9 = x . . . . . . . . . . . . add 12-3x
Atsu is 9; Agyappng is 27.
Jullian measures the distance he drives to work each day using the odometer on his car, which measures distance in miles, accurate to the nearest tenth of a mile. Using that measurement, he claims that the exact distance he drives to work is 11.7 miles. Use complete sentences to explain why jullian is incorrect
Answer:
Kindly check explanation
Step-by-step explanation: Jullian's claim that the distance she drives to work is exactly 11.7miles is incorrect because, in other to record or get the exact result of a certain calculation such as Jullian's Distance, the value of the distance obtained will not be approximated or rounded. In this scenario, Distance was to the nearest tenth of a mile, thereby altering the true outcome of the calculation.
The word exact means that what is stated is very precise and does not fall below or above in any respect. However, a number whose accuracy is to the nearest tenth of a mile, violates this assertion.
Every summer, Kendra plants a vegetable garden. Last year, she planted 6 rows of tomatoes and 8 rows of peppers. Kendra wants to keep the same ratio this year, but she only plans to plant 3 rows of tomatoes.
How many rows of peppers will Kendra plant this year?
Answer:
16
Step-by-step explanation:
hope this helps :)))))
Name the vertex ot XYZ.
Answer:
Line BStep-by-step explanation:
When naming lines, you can use the label of the line, in this case, m, and can also name the points in either direction, since the line goes on forever in both directions (it's different with rays). The leaves only line B as an answer.
The vertex of XYZ would be Y, since the vertex is always the middle number.
I'm always happy to help :)the fourth term of an AP is 5 while the sum of the first 6 terms is 10. Find the sum of the first 19 terms
Answer: S₁₉ = 855
Step-by-step explanation:
T₄ = a + ( n - 1 )d = 5 , from the statement above , but n = 4
a + 3d = 5 -------------------------1
S₆ = ⁿ/₂[(2a + ( n - 1 )d] = 10, where n = 6
= ⁶/₂( 2a + 5d ) = 10
= 3( 2a + 5d ) = 10
= 6a + 15d = 10 -----------------2
Now solve the two equation together simultaneously to get the values of a and d
a + 3d = 5
6a + 15d = 10
from 1,
a = 5 - 3d -------------------------------3
Now put (3) in equation 2 and open the brackets
6( 5 - 3d ) + 15d = 10
30 - 18d + 15d = 10
30 - 3d = 10
3d = 30 - 10
3d = 20
d = ²⁰/₃.
Now substitute for d to get a in equation 3
a = 5 - 3( ²⁰/₃)
a = 5 - 3 ₓ ²⁰/₃
= 5 - 20
a = -15.
Now to find the sum of the first 19 terms,
we use the formula
S₁₉ = ⁿ/₂( 2a + ( n - 1 )d )
= ¹⁹/₂( 2 x -15 + 18 x ²⁰/₃ )
= ¹⁹/₂( -30 + 6 x 20 )
= ¹⁹/₂( -30 + 120 )
= ¹⁹/₂( 90 )
= ¹⁹/₂ x 90
= 19 x 45
= 855
Therefore,
S₁₉ = 855
How hot does it get in Death Valley? The following data are taken from a study conducted by the National Park System, of which Death Valley is a unit. The ground temperatures (°F) were taken from May to November in the vicinity of Furnace Creek. Compute the mean, median, and mode for these ground temperatures. (Enter your answers to one decimal place.) 147 153 170 172 185 181 182 185 181 170 181 167 153 145
Answer:
Mean: 169.4
Median: 171
Mode: 181
Step-by-step explanation:
I first sorted the numbers by value, least to greatest.
145 147 153 153 167 170 170 172 181 181 181 182 185 185
We can see that 181 occurs the most, 3 times, so it's the mode.
The median of this set will be the middle number(s).
When we take away 6 numbers from both sides we are left with 170 and 172, and the mean of these two numbers is 171. So the median is 171.
We can add all the numbers and divide by 14 to get the mean.
[tex]147+153+170+172+185+181+182+185+181+170+181+167+153+145=2372\\\\2372\div14\approx169.4[/tex]
Hope this helped!
If sin∠M = cos∠N and m∠N = 30°, what is the measure of ∠M?
Step-by-step explanation:
sin∠M = cos∠N
sin∠M = cos(30°)
sin∠M = √3 / 2
m∠M = 60° or 120°
If ∠M is acute, m∠M = 60°.
Answer: The measure of ∠M is 60°
Step-by-step explanation:
The complement of 30° is 60°
sin∠M =cos∠N
sin∠60°=cos∠30°
the measure of ∠M is 60°
If the discriminant of a quadratic equation is equal to -8 , which statement describes the roots?
Answer: There are no real number roots (the two roots are complex or imaginary)
The discriminant D = b^2 - 4ac tells us the nature of the roots for any quadratic in the form ax^2+bx+c = 0
There are three cases
If D < 0, then there are no real number roots and the roots are complex numbers.If D = 0, then we have one real number root. The root is repeated twice so it's considered a double root. This root is rational if a,b,c are rational.If D > 0, then we get two different real number roots. Each root is rational if D is a perfect square and a,b,c are rational.double the sum of a number w and 3
Answer:
2(w+3)
Step-by-step explanation:
2(w+3) or 2w+6
A survey asked, "How many tattoos do you currently have on your body?" Of the males surveyed, responded that they had at least one tattoo. Of the females surveyed, responded that they had at least one tattoo. Construct a % confidence interval to judge whether the proportion of males that have at least one tattoo differs significantly from the proportion of females that have at least one tattoo. Interpret the interval.
Complete Question
The complete question is shown on the first uploaded image
Answer:
The 95% interval for [tex]p_1 - p_2[/tex] is [tex]-0.0171 ,0.0411[/tex]
Option A is correct
Step-by-step explanation:
From the question we are told that
The sample size of male is [tex]n_1 = 1211[/tex]
The number of males that said they have at least one tattoo is [tex]r = 182[/tex]
The sample size of female is [tex]n_2 = 1041[/tex]
The number of females that said they have at least one tattoo is [tex]k = 144[/tex]
Generally the sample proportion of male is
[tex]\r p_1 = \frac{r}{ n_1}[/tex]
substituting values
[tex]\r p_1 = \frac{ 182}{1211}[/tex]
[tex]\r p_1 = 0.1503[/tex]
Generally the sample proportion of female is
[tex]\r p_2 = \frac{k}{ n_2}[/tex]
substituting values
[tex]\r p_2 = \frac{ 144}{1041}[/tex]
[tex]\r p_2 = 0.1383[/tex]
Given that the confidence level is 95% then the level of significance is mathematically represented as
[tex]\alpha =100-95[/tex]
[tex]\alpha =5\%[/tex]
[tex]\alpha =0.05[/tex]
Next we obtain the critical value of [tex]\frac{\alpha }{2}[/tex] from the normal distribution table , the value is
[tex]Z_\frac{\alpha }{2} = 1.96[/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p_1 (1- \r p_1)}{n_1} + \frac{\r p_2 (1- \r p_2)}{n_2} }[/tex]
substituting values
[tex]E = 1.96 * \sqrt{\frac{ 0.1503 (1- 0.1503)}{1211} + \frac{0.1383 (1- 0.1383)}{1041} }[/tex]
[tex]E = 0.0291[/tex]
The 95% confidence interval is mathematically represented as
[tex](\r p_1 - \r p_2 ) - E < p_1-p_2 < (\r p_1 - \r p_2 ) + E[/tex]
substituting values
[tex](0.1503- 0.1383 ) - 0.0291 < p_1-p_2 < (0.1503- 0.1383 ) + 0.0291[/tex]
[tex]-0.0171 < p_1-p_2 < 0.0411[/tex]
So the interpretation is that there is 95% confidence that the difference of the proportion is in the interval .So conclude that there is insufficient evidence of a significant difference in the proportion of male and female that have at least one tattoo
This because the difference in proportion is less than [tex]\alpha[/tex]
en un taller de futbol se inscribieron en total 240 personas . de ese total 80% son mujeres . ¿Cuántos hombres se inscribieron en el taller ?
a) 192 hombres
b) 160 hombres
c) 48 hombres
d) 18 hombres
100 points for whoever can prove this geometry problem!!!! PLS HELP ME!!!!!!
Answer:
Let the chord- part of VC inside smaller circle be a, and same of CU be b.
According to intersecting secants theorem we have:
CI * (CI + a) = CJ * (CJ + b)and
VC *(CI + a) = CU * (CJ + b)From the second equation we get:
CU = VC * (CI + a) / (CJ + b)From the first equation we get:
CI + a = CJ * (CJ + b) / CI,substitute this into the second equation:
CU = VC * CJ * (CJ + b) / CI * 1/ (CJ + b)CU = VC * CJ / CICU * CI = VC * CJProved
Alpha (a) is used to measure the error for decisions concerning true null hypotheses. What is beta (ß) error used to measure?
Answer:
Alpha (α) is used to measure the error for decisions concerning true null hypotheses, while beta (ß) is used to measure error for decisions concerning false null hypotheses.
Step-by-step explanation:
Suppose we have events X and Y.
1. If it is said that X equals Y, when X is actually not equal to Y, α is used in this case, the null hypotheses.
2. If X is said to not be equal to Y, when X is actually equal to Y, β is used in this case, the false null hypotheses.
Find the final amount of money in an account if $7, 200 is deposited at 2.5 % interest compounded
quarterly (every 3 months) and the money is left for 9 years.
The final amount is $
Round answer to 2 decimal places
The final amount is $7,615.27
A = P(1 + r/n)^t
Where,
A = Final amount
P = principal = $7, 200
r = interest rate = 2.5% = 0.025
n = number of periods = 4
t = time = 9 years
A = P(1 + r/n)^t
= 7,200(1 + 0.025/4)^9
= 7,200(1 + 0.00625)^9
= 7,200(1.00625)^9
= 7,200(1.0576769512798)
= 7,615.2740492152
Approximately,
A = $7,615.27
https://brainly.com/question/14003110
WILL GIVE BRAINLIEST
Use the distributive property.
5(2x + 7) = [ ? ]x + [ ]
Answer:
10x +35
Step-by-step explanation:
5(2x+7) = 5*2x + 5*7 = 10x+35
Answer:
10, 35.
Step-by-step explanation:
5(2x + 7)
= 5^2x + 5*7
= 10x + 35
What is 9,000,000 + 8,000 + 90,000,000 + 100 + 2 + 90,000 + 90 in standard form?
Answer:
i thank its 4000
Step-by-step explanation:
please mark this answer as brainlist
Write an equation in slope-intercept form for the line with slope 4/3 and y-intercept -6.
Answer:
y=mx+b
Step-by-step explanation:
m=4/3×-6
I think this is the answer
The perimeter of a park is 300 feet the length of the park is 50 feet longer than the width. Find the length
Answer:
55.41 feet
Step-by-step explanation:
Let the width be x.
ATQ, (x+50)*x=300, x=5*srt(37)-25=5.41. Length is 55.41 feet