Answer:
Percentage of students who tried both questions = [tex]8\%[/tex]
Percentage of students who tried at least one question = [tex]96\%[/tex]
Step-by-step explanation:
Given: 25 students take a midterm psychology exam, 15 answered the first of two bonus questions, 11 answered the second bonus question, and 1 didn't bother with either one.
To find: percentage of students who tried both questions and percentage of students who tried at least one question
Solution:
Let A denotes students who answered the first of two bonus questions and B denotes students who answered the second bonus question.
Let U denotes the universal set denoting students who take a midterm psychology exam.
[tex]n(A)=15\,,\,n(B)=11\,,\,n(U)=25[/tex]
[tex]n\left ( A'\cap B' \right )=1[/tex]
[tex]n\left ( A'\cap B' \right )=n\left ( A\cup B \right )'\\=n(U)-n\left ( A\cup B \right )\\\Rightarrow 1=25-n\left ( A\cup B \right )\\n\left ( A\cup B \right )=25-1=24[/tex]
[tex]n\left ( A\cup B \right )=n(A)+n(B)-n\left ( A\cap B \right )\\24=15+11-n\left ( A\cap B \right )\\n\left ( A\cap B \right )=15+11-24=2[/tex]
Percentage of students who tried both questions = [tex]\frac{2}{25}\times 100=8\%[/tex]
Percentage of students who tried at least one question = [tex]\frac{24}{25}\times 100=96\%[/tex]
Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ability to hit the ball so far. Designers, therefore, have proposed that new golf courses need to be built expecting that the average golfer can hit the ball more than 230 yards on average. A random sample of 177 golfers show that their mean driving distance is 230.7 yards, with a standard deviation of 41.8.
1. Set up the null and alternative hypotheses to test for the designers belief.
a. H0 : µ ≥ 230 versus Ha : µ < 230
b. H0 : µ = 230.7 versus Ha : µ ≠ 230.7
c. H0 : µ ≥ 230.7 versus Ha : µ < 230.7
d. H0 : µ ≤ 230.7 versus Ha : µ > 230.7
e. H0 : µ ≤ 230 versus Ha : µ > 230
2. Find the value of the standardized test statistic.
a. 0.125
b. -0.125
c. 0.223
d. -0.7
e. 0.7
3. Find the P-value for the above mentioned test.
a. 0.8237
b. 0.0228
c. 0.5871
d. 0.4118
e. 0.0871
Answer:
a) e) H0 : µ ≤ 230 versus Ha : µ > 230
b) [tex]t=\frac{230.7-230}{\frac{41.8}{\sqrt{177}}}=0.223[/tex]
c. 0.223
c) [tex]p_v =P(t_{(176)}>0.223)=0.4118[/tex]
d. 0.4118
Step-by-step explanation:
Information given
[tex]\bar X=230.7[/tex] represent the sample mean
[tex]s=41.8[/tex] represent the sample standard deviation
[tex]n=177[/tex] sample size
[tex]\mu_o =230[/tex] represent the value to verify
t would represent the statistic
[tex]p_v[/tex] represent the p value
Part a
We want to verify if the true mean is higher than 230 yards, the system of hypothesis would be:
Null hypothesis:[tex]\mu \leq 230[/tex]
Alternative hypothesis:[tex]\mu > 230[/tex]
The best option would be:
H0 : µ ≤ 230 versus Ha : µ > 230
Part b
The statistic is given by:
[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex] (1)
Replacing the info given we got:
[tex]t=\frac{230.7-230}{\frac{41.8}{\sqrt{177}}}=0.223[/tex]
Part c
The degrees of freedom are:
[tex]df=n-1=177-1=176[/tex]
The p value would be given by:
[tex]p_v =P(t_{(176)}>0.223)=0.4118[/tex]
d. 0.4118
Answer fast i have timer
Answer:
k is equal to 42
Step-by-step explanation:
A committee of six is to be chosen randomly from 50 people, 20 of whom support Party X and 30 support Party Y. What is the probability that the majority of the committee will be Party Y supporters
Ok to choose a committee of six people and the probability that it will be majority of the party supporters.
Probabilty= 30C6/50C6
Probability= 593775/15890700
Probabilty= 0.037
According to Eurostat, 55.2% of households in Italy have one child, the highest percentage in the Euro zone. A random sample of 160 Italian households was selected. The standard error of the proportion is ________.
Answer:
0.04
Step-by-step explanation:
In this case we must use the following formula to be able to find the standard error, which would be the square root, of the probability for its complement divided by the population:
SE= [tex]\sqrt{\frac{p *(1-p)}{n} } \\[/tex]
Now, knowing that p = 0.552 and n = 160 we replace and we are left with:
SE = [tex]\sqrt{\frac{0.552 *(1-0.552)}{160} } \\[/tex]
SE = [tex]\sqrt{0.00154}[/tex]
SE = 0.039
Which means that the standard error of the proportion is 0.04
Elizabeth is returning to the United states from Canada. She charges the remaining 300 canadian dollars she has to $250 US dollars. What was $1 US dollar worth in canadian dollars? I got 75000 what did I do wrong?
Answer:
1 us dollar would be worth $0.8333333 Canadian dollars
Step-by-step explanation:
i don't know what you did wrong but you would divide 250/300 to get the amount it's worth. I guess you tried to multiply it, don't do that.
The toasters produced by a company have a normally distributed life span with a mean of 5.8 years and a standard deviation of 0.9 years, what warranty should be provided so that the company is replacing at most 5% of their toasters sold?
Answer:
A warranty of 4.32 years should be provided.
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question, we have that:
[tex]\mu = 5.8, \sigma = 0.9[/tex]
What warranty should be provided so that the company is replacing at most 5% of their toasters sold?
The warranty should be the 5th percentile, which is X when Z has a pvalue of 0.05. So it is X when Z = -1.645.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.645 = \frac{X - 5.8}{0.9}[/tex]
[tex]X - 5.8 = -1.645*0.9[/tex]
[tex]X = 4.32[/tex]
A warranty of 4.32 years should be provided.
What’s the correct answer for this? Select the ones that apply
given B(-5 0) reflected across the line y=-2
Answer:
When it is reflected across y=-2, the new location will be at (-5,-4)
Step-by-step explanation:
y=-2 is a horizontal line. The points B(-5,0) is 2 units above that point. So, when reflected, it will move 4 units down, which gives you (-5,-4).
Given AC=LN and BA=ML, which statement must be true?
Answer: BC<MN
Step-by-step explanation:
Answer: BC <MN
Step-by-step explanation: i just took the test on eginuity
What’s the correct answer for this question?
Answer:
C
Step-by-step explanation:
Slope Formula is used from 2-5
Which is
Slope Formula = Rise/Run
Slope Formula = y₂-y₁/x₂-x₁
If a(x) = 2x - 4 and b(x) = x + 2, which of the following expressions produces a quadratic function?
(ab)(x)
Ol
(x)
(a - b)(x)
(a + b)(x)
Answer:
(ab)(x)
Step-by-step explanation:
The sum or difference of two linear functions will be a linear function. The product of two linear functions will be a quadratic function.
Hillel is juggling flaming torches to raise money for charity. His initial appearence raises $500, and he raises $15 for each minuter of juggling performance. The amount R of money Hillel raises is a function of t, the length of his performance in minutes. write the functions formula
Answer:
r(t) = 15t+500
Step-by-step explanation:
Since the amount of money (r) is a function of the time (t) we will make it the y-value. t is how much time and he gets $15 a minute so we multiply t by 15. 500 is how much he gets paid for doing it. If he showed up and just left, he would still get 500.
Answer:
R=15t+500
Step-by-step explanation:
I have the same question
The mean gross annual incomes of certified welders are normally distributed with the mean of $26,589 and a standard deviation of $2,659. The ship building association wishes to find out whether their welders earn more or less than $26,589 annually. The alternate hypothesis is that the mean is not $26,589. Which of the following is the alternate hypothesis? a. H1: <$26,589 b. H1: -$26,589 с. HI:T-826,589 d. Hi: -326,589
Answer:
And based on the claim the system of hypothesis are:
Null hypothesis: [tex] \mu = 26589[/tex]
Alternative hypothesis: [tex] \mu \neq 26589[/tex]
And the best alternative would be:
b. [tex]H_1: \neq $26,589[/tex]
Step-by-step explanation:
For this case we want to test the hypotheis that the true mean is different from 26859. We have the following info given:
[tex] \bar X = 26589[/tex] represent the sample mean
[tex] \sigma =2659[/tex] represent the population deviation
And based on the claim the system of hypothesis are:
Null hypothesis: [tex] \mu = 26589[/tex]
Alternative hypothesis: [tex] \mu \neq 26589[/tex]
And the best alternative would be:
b. [tex]H_1: \neq $26,589[/tex]
Solve each system by elimination
-9x -4y=2
7x +4y = -6
Answer:
cộng vế theo vế ta đc :
-2x=-4<=>x=2
thay x=2 vào 1 trong 2 ptrình ta đc: y=-5
A group of 570 students were surveyed about the courses they were taking at their college with the following results:
257 students said they were taking Math.
282 students said they were taking English.
323 students said they were taking History.
154 students said they were taking Math and English.
171 students said they were taking Math and History.
143 students said they were taking English and History.
80 students said they were taking all three courses.
How many students took English and History, but not Math
Answer:
The number of students who took English and History, but not Math is 143.
Step-by-step explanation:
Denote the subject choices as follows:
M = a students was taking Math
E = a students was taking English
H = a students was taking History
The data provided is as follows:
N (M) = 257
N (E) = 282
N (H) = 323
n (M ∩ E) = 154
n (M ∩ H) = 171
n (E ∩ H) = 143
n (M ∩ E ∩ H) = 80
Consider the Venn diagram below.
From the provided data and the Venn diagram the value of the set E and H minus M is 143.
Thus, the number of students who took English and History, but not Math is 143.
A total of 4.8 percent of the prime time viewing audience watched shows on ABC, 6.7 percent watched shows on CBS, 5.2 percent on Fox, 5.8 percent on NBC, 1.7 percent on Warner Brothers, and 1.9 percent on UPN. A total of 73.9 percent of the audience watched shows on other cable networks, such as CNN and ESPN. What will be the prime time viewing percentage of the pie chart for the following data? (Only consider the viewers watching non-cable news.) (Round your answers to 2 decimal places.)
Prime time viewing
ABC %
CBS %
Fox %
NBC %
Warner %
UPN %
Answer:
Prime time viewing
ABC % = 18.39%
CBS % = 25.67%
Fox % = 19.92%
NBC % = 22.22%
Warner % = 6.51%
UPN % = 7.28%
Step-by-step explanation:
We have to calculate the percentage of prime time viewing for each of the non-cable networks.
We know that 73.9% of the audience watched shows on cable networks. That left us with 26.1% of the audience for the non-cable networks.
[tex]\text{Cable\%}=1-0.739=0.261=26.1\%[/tex]
Then, if we use a pie chart only for the non-cable networks, we have to calculate the proportion of each network relative to the non-cable audience.
We can calculate that as:
[tex]\text{ABC}=0.048/0.261=0.1839=18.39\%\\\\\text{CBS}=0.067/0.261=0.2567=25.67\%\\\\\text{Fox}=0.052/0.261=0.1992=19.92\%\\\\\text{NBC}=0.058/0.261=0.2222=22.22\%\\\\\text{Warner}=0.017/0.261=0.0651=6.51\%\\\\\text{UPN}=0.019/0.261=0.0728=7.28\%\\\\[/tex]
Identify the measure of arc BD.
A. 51
B. 72
C. 105
D. 129
Answer:
Option (D). 129°
Step-by-step explanation:
In the figure attached,
AB and CD are the diameters intersecting at the center of the circle F.
Central angle AFC = 129°
m([tex]\widehat{AC}[/tex]) = 129°
m(∠AFD) = 180° - (m∠AFC)
= 180° - (129)°
= 51°
Since m∠AFD = m∠BFC = 51° [Vertical angles]
Therefore, [tex]m(\widehat{AD})=m(\widehat{BC})=51[/tex]
Now, [tex]m(\widehat{BC})+m(\widehat{BD})[/tex] = 180°
51° + [tex]m(\widehat{BD})[/tex] = 180°
[tex]m(\widehat{BD})[/tex] = 180° - 51°
[tex]m(\widehat{BD})[/tex] = 129°
Therefore, Option (D) will be the answer.
Which values of a,b,and c correctly represent the answer in simplest form 7/9 divied by 4/9 =
Answer:
[tex]7/4[/tex]
Solution:
[tex]\frac{7}{9} /\frac{4}{9}[/tex]
Reciprocal.
[tex]7/9(9/4)[/tex]
Multiply.
[tex]\frac{63}{36}[/tex]
Simplify
[tex]\frac{7}{4}[/tex]
Jack uses triangles in the construction of bridges, such as the one shown below
. What is the measure of Angle g
Answer:
61
Step-by-step explanation:
i got it right
Answer:
The one above me is correct
Step-by-step explanation:
what are the factors of x^2+4x+3x?
Answer:
x(x+7)
Step-by-step explanation:
x^2+4x+3x
Combine like terms
x^2+7x
Factor out an x
x(x+7)
Answer:
[tex]x(x + 7)[/tex]
Step-by-step explanation:
[tex] {x}^{2} + 4x + 3x[/tex]
Combine like terms
[tex] {x}^{2} + 7x[/tex]
Factoring
[tex]x(x + 7)[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
is sin 30 = 0.5, then sin-1 0.5 =30
Answer:
yes
Step-by-step explanation:
sin 30 = 0.5
sin-1 = 30
How do I do this problem? Two similar pyramids have matching sides in the ratio 5:7. If the surface area of the larger pyramid is 441 cm^2. find the surface area of
the smaller pyramid.
S Area
cm²
Answer:
Surface area of the smaller pyramid will be 225 cm²
Step-by-step explanation:
Two similar pyramids have their matching or corresponding sides in the ratio of 5 : 7.
In other words,
[tex]\frac{\text{One side of the smaller pyramid}}{\text{One side of the larger pyramid}}[/tex] = [tex]\frac{5}{7}[/tex]
Therefore, [tex]\frac{\text{Surface area of the smaller pyramid}}{\text{Surface area of the larger pyramid}}[/tex] = [tex](\frac{5}{7})^{2}[/tex]
[tex]\frac{S_{\text{small}}}{S_{\text{large}}}=\frac{25}{49}[/tex]
[tex]\frac{S_{\text{small}}}{441}=\frac{25}{49}[/tex]
[tex]S_{\text{Small}}=\frac{441\times 25}{49}[/tex]
= 225 cm²
Therefore, surface area of the smaller pyramid will be 225 cm².
Write this number in standard form 6,000,000+9000,000+80,000+9,000+500+80+2
Answer:
15089582 = 1.5089582 x 10^7
Step-by-step explanation:
6,000,000+9000,000+80,000+9,000+500+80+2 = 15089582
15089582 = 1.5089582 x 10^7
In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 +7. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).
Answer:
Step-by-step explanation:
The function f(x) = x^2 has only one x-intercept which means only {0} is the only number that makes y zero.
The second function g(x) = (x-2)^2 -3 has also one x-intercept, {3.732} which will make the value of y, zero.
Answer:
The function started facing up with a vertex at (0, 0). Since 7 was added before squaring, the graph shifts 7 units up so the vertex at (7, 0). Also, the function is negative so the graph is pointing down
This means that there are two x-intercepts in g(x) and there was one x-intercept in f(x).
Step-by-step explanation:
used this and it was right.
What is the range of the function
Y = 2eX-1?
Answer:
-4293272 (y|y>-1)(y|y>-1)
What is -4 = -3 + x 8
Answer:
x=-1/8
Step-by-step explanation:
You solve this like an regular equation
Hope this Helps
Stay Safe:)
A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the
number of shoppers is 10o more than the number of shoppers the day before.
What is the total number of shoppers that visited the mall in the first 7 days?
Round your final answer to the nearest integer.
shoppers
Show Calculator
Report e problem
Answer:
The total number of shoppers that visited the mall in the first 7 days is 234.
Step-by-step explanation:
The number of customers at the new shopping mall on their first day of business was, X = 120.
It is provided that each day the number of shoppers is 10% more than the number of shoppers the day before.
This implies that the number of shoppers on the second day of the opening is:
Number of shoppers on the 2nd day = (120 × 1.10)
Then the number of shoppers on the third day of the opening will be:
Number of shoppers on the 3rd day = (120 × 1.10) × 1.10
And so on.
Compute the total number of shoppers that visited the mall in the first 7 days as follows:
[tex]\text{Number of shoppers on the first 7 days} = 120 \times (1.10)^{7}[/tex]
[tex]=120\times 1.9487171\\=233.846052\\\approx 234[/tex]
Thus, the total number of shoppers that visited the mall in the first 7 days is 234.
Answer:
1138 shoppers
Step-by-step explanation:
what is archieves meaning
Answer:
the meaning is "a collection of historical documents or records providing information about a place, institution, or group of people."
Step-by-step explanation:
hope this helped and plz mark me as brainliest!
Answer:
a collection of historical documents or records providing information about a place, institution, or group of people
Step-by-step explanation:
Find the surface area of the rectangular prism above using its net below
Answer:
82cm²
See explanation below
Step-by-step explanation:
The question is incomplete without the diagram of the rectangular prism and it's dimensions. We are to determine the surface area of the rectangular prism using it's net.
I would show you how to determine it using diagram below.
Find attached the diagram used in solving the question as well as the net obtained from the diagram.
Solution:
A net diagram is a 2-dimensional representation of a 3-dimensional solid in which case the solid is unfolded.
The net gives the total area of the sides and faces of the 3 dimensional figure.
The units of the diagram used are all in cm.
Using net diagram:
Area A = Area B = length × height = hl
Area C = Area D = width × length= wl
Area E = Area of F = height × width = hw
surface area of the rectangular prism = 2(wl + hl + hw)
w = width = 2cm
l= length = 7cm
h = height = 3cm
Insert the values in the formular
A = 2(2×7 + 3×7 + 2×3)
A = 2(14+21+6)
A = 2(41) = 82cm²
Surface area of the rectangular prism = 82cm²
Answer: a picture would help
Step-by-step explanation:
lol
Which equation represents the linear function that is shown on the graph below?
y = one-half x + 4
y = one-half x minus 2
y = 4 x minus 2
y = negative 2 x + 4
Answer:
A=(4,0) and B = (6,1)
We can find the slope with this formula:
[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]
And replacing we got:
[tex] m= \frac{1-0}{6-4}= \frac{1}{2}[/tex]
Now we can find the y intercept using one of the points like this:
[tex] 0 = \frac{1}{2} *4 +b[/tex]
And then b would be:
[tex] b = -2[/tex]
And the equation would be given by:
[tex] y= \frac{1}{2}x -2[/tex]
And the best option is:
y = one-half x minus 2
Step-by-step explanation:
In order to find the equation for the line we can use two points and let's take:
A=(4,0) and B = (6,1)
We can find the slope with this formula:
[tex]m =\frac{y_2 -y_1}{x_2 -x_1}[/tex]
And replacing we got:
[tex] m= \frac{1-0}{6-4}= \frac{1}{2}[/tex]
Now we can find the y intercept using one of the points like this:
[tex] 0 = \frac{1}{2} *4 +b[/tex]
And then b would be:
[tex] b = -2[/tex]
And the equation would be given by:
[tex] y= \frac{1}{2}x -2[/tex]
And the best option is:
y = one-half x minus 2
Answer:
C
Step-by-step explanation:
hope this helps!
