Answer:
4.35 rounded to the nearest hundredth
4.3 rounded to the nearest tenth
4 rounded to the nearest whole number.
Step-by-step explanation:
[tex]8\frac{1}{6}[/tex] ÷ [tex]1 \frac{7}{8}[/tex] =
[tex]\frac{49}6}[/tex] ÷ [tex]\frac{15}{8} =[/tex]
[tex]\frac{49}{6} *\frac{8}{15} =[/tex]
[tex]\frac{392}{90} =[/tex]
[tex]4 \frac{32}{90} =[/tex]
[tex]4\frac{16}{45}[/tex] ≈ 4.35
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
A bag has 8 red tiles and 2 green tiles. In a charity carnival game, you pay $5 to randomly pull a tile from the bag. The payout for pulling a red tile is $1 and the payout for pulling a green tile is $10. Which of the followig are true or false.
a. The expected payoff per game for the charity is $2.20.
b. In 20 games, the charity can expect to make $44.
c. In 30 games, the charity can expect to make $120.
d. In 5 games, the player can expect to lose $11.
Answer:
B:True
Step-by-step explanation:
B is true as a bag of 8 red tiles and 2 green tiles you pay 5 per tile meaning in twenty games you pay $100(50 per bag) and the total amount you win back is $56(28 per bag) so the equation would be $100 - $56= $44 profit to the charity
Hence only statement 1 is correct,∴The expected payoff per game for the charity is $2.20.
What is payoff?Money provided to someone as a bribe, reward, or when they leave a position. As a result, a mathematical function representing the award awarded to a single player at the game's conclusion has been developed.
How to Solve?Given a bag of tiles containing 8 red tiles, 2 green tiles.
Probability of drawing a red tile =1/8
Probability of drawing a green tile =1/2
If red tile is pulled payout is $1 else $10
Payout=
payout for 1 game= $1*8/10+$10*2/10-$5=2.20
payout in 20 games =$1*10*8/10+$10*10*2/10-$5*20=-72
payout for 30 games=$1*15*8/10+$10*15*2/10-$5*30=0
payout in 5 games=$1*5*8/10+10*5*2/10-$5*5=$25
Hence only statement 1 is correct, ∴The expected payoff per game for the charity is $2.20.
Learn more about probability https://brainly.com/question/14211455
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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 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:)
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.
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 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:
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.
is sin 30 = 0.5, then sin-1 0.5 =30
Answer:
yes
Step-by-step explanation:
sin 30 = 0.5
sin-1 = 30
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).
complete this sentence in a triangle the angle with the greatest measure is always opposite the
Answer:
longest side
Step-by-step explanation:
In a triangle the angle with the greatest measure is always opposite the longest side.
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
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!
In 1970, the average length of a major league baseball game was 150 minutes compared to 180 minutes in 2018. Calculate the absolute and relative change in major league baseball game times from 1970 to 2018. Round your answer for relative change to the nearest whole percent.
Answer:
30 min20%Step-by-step explanation:
The absolute change in game length is ...
(180 min) -(150 min) = 30 min . . . . change in game length
__
The relative change is expressed as a fraction of the original game length:
(30 min)/(150 min) × 100% = 20% . . . . relative change in game length
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
Please answer this correctly
Answer:
V =113.04 cm^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V = 3.14 (3)^2 4
V = 3.14 *9*4
V =113.04 cm^3
Answer:
Step-by-step explanation:
3*3.14
9.42*9.42
88.7364*4
354.9456 rounded to
355
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.
What’s the correct answer for this question?
Answer:
C
Step-by-step explanation:
PG = GO
2(4x-3)-8=4+2x
8x-6-8=4+2x
8x-14=4+2x
8x-2x=4+14
6x=18
Dividing both sides by 6
x = 3
Answer:
x = 3
Step-by-step explanation:
Since the chords are congruent then they are equidistant from the centre, thus
PG = GO , substitute values
2(4x - 3) - 8 = 4 + 2x ← distribute and simplify left side
8x - 6 - 8 = 4 + 2x
8x - 14 = 4 + 2x ( subtract 2x from both sides )
6x - 14 = 4 ( add 14 to both sides )
6x = 18 ( divide both sides by 6 )
x = 3
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.
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.
Answer fast i have timer
Answer:
k is equal to 42
Step-by-step explanation:
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]
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
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
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
What’s the correct answer for this? Select the ones that apply
What is the range of the function
Y = 2eX-1?
Answer:
-4293272 (y|y>-1)(y|y>-1)
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]
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!
Identify the type of claim in each research question below.
For many years "working full-time" was 40 hours per week. A business researcher gathers data on the hours that corporate employees work each week. She wants to determine if corporations now require a longer work week.
Group of answer choices
a.Testing a claim about a single population proportion.
b.Testing a claim about a single population mean.
c.Testing a claim about two population proportions.
dTesting a claim about two population means.
Answer:
b.Testing a claim about a single population mean.
Step-by-step explanation:
Hello!
The researcher wants to test the claim that corporation employees work more than 40 hours per week.
The variable of interest is "The number of hours a corporate employee works per week"
The parameter of study, for her to make a valid conclusion about the weekly working hours of the population of corporation employees is the population mean μ.
If the claim is correct, she would expect the population mean of weekly hours the corporate employees work to be greater than 40.
This is an example of a single population mean test.
