Answer:
b. The margin of error would decrease.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which z is related to the confidence level, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
This means that the margin of error is inversely proportional to the size of the sample, which means that if the sample size increases, the margin of error decreases.
In this question, the sample size is increased, leading to a smaller margin of error. So the correct answer is given by option b.
A bowl has 2 gold marbles, 3 blue marbles and 5 white marbles. A marble is randomly selected and then placed back in the bowl. You do this 5 times. What is the probability of choosing 1 gold marble, 1 blue marble and 3 white marbles?
Answer:
2/10 or 1/5 gold, 3/10 blue and 5/10 or 2/5 white
Step-by-step explanation:
2+3+5=10
since you do this 5 times and get 5 marbles it can be:
2/10 or 1/5 gold, 3/10 blue and 5/10 or 2/5 white
The probability of choosing 1 gold marble, 1 blue marble and 3 white marbles is 2/5
Probability is the likelihood or chance that an event will occur.
If there are 2 gold marbles, 3 blue marbles and 5 white marble in the bowl, the total number of marbles will be 10 marbles.
Pr(1 gold marble) = 2/10 = 1/5
Pr(1 blue marble) = 3/10
Pr(3 white marble) = [tex]\frac{3}{5C_3} = \frac{3}{10}[/tex]
Add all the probability;
Pr(hoosing 1 gold marble, 1 blue marble and 3 white marbles) = 1/5 +3/10 + 3/10 = 8/10 = 2/5
Hence the probability of choosing 1 gold marble, 1 blue marble and 3 white marbles is 2/5
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please help, ill give brainliest
Answer:
hope this help you......
A.
1.2° N of E
B.
1.2° S of E
C.
66.8° N of E
D.
66.8° S of E
Answer:
c
Step-by-step explanation:
The Edward James Toy Company uses a Kanban system to make plastic wheels that are a component of several toys. The waiting time for a container of the wheels during production is 0.25 day; average processing time is 0.15 day per container. Each container holds 200 wheels. The company uses 2,000 wheels a day in the production of its products. Use the information in Case 6.1. Using a policy variable of 5%, calculate the number of Kanban containers needed for the wheels.
Answer:
[tex]N_c \approx 5.0[/tex]
Step-by-step explanation:
From the question we are told that:
Waiting time for a container of the wheels during production [tex]T_w=0.25day[/tex]
Average processing time is [tex]T_a=0.15 day per container[/tex]
Wheel per container [tex]N_w=200[/tex]
Total wheel per day [tex]D=2000[/tex]
Policy variable of [tex]X=5%[/tex]
Generally the equation for Total number of container [tex]N_c[/tex] is mathematically given by
[tex]N_c=DT(\frac{1+X}{N_w} )[/tex]
Where
Total time [tex]T=T_w+T_a[/tex]
[tex]T=0.15+0.25[/tex]
Therefore
[tex]N_c=DT(\frac{1+X}{N_w} )[/tex]
[tex]N_c=2000*0.40(\frac{1+0.5}{200} )[/tex]
[tex]N_c=(\frac{840}{200} )[/tex]
[tex]N_c=4.2[/tex]
[tex]N_c \approx 5.0[/tex]
Therefore the number of Kanban containers needed for the wheels is
[tex]N_c \approx 5.0[/tex]
MATHEMATICS
PLANE if it is a plane figure and write SOLID if it is a solid
1. shoebox
2. tiles 3.ball
4.wheel 5.playing card 6.wall sticker 7.basket ball court 8.kite 9.dringking glass 10.tv screenshot
Answer:
P=plane
S=solid
1.s
2.p
3.s
4.s
5.p
6.p
7.s
8.p
9.s
10.p
If you are helped with my answer pls tag me brianliest
THANK YOU...
For which situation could flipping a coin be used to generate a random sample
A: To predict if a machine will be defective or not. B: To predict student performance on an exam. C: To predict the number of peanuts in a container. D: to predict which of four players will win a gold tournament.
I put A but Im not sure.
Answer: B
because its 50/50 chance you'll have heads or tails
The number of books (b) in a preschool classroom is proportional to the number of children (c) enrolled.
If the preschool has three books in a classroom for each child enrolled, which equation represents the total number of books in the classroom?
A. b=3c
B. b=3+c
C. b= 1 over 3c
D. b=3-c
Help plssssssssssszzzzzssz
Answer:
2143.57 in³
Step-by-step explanation:
The formula of volume of sphere
[tex]= \frac{4}{3} \pi {r}^{3}[/tex]
The volume of the sphere
[tex]= \frac{4}{3} \times 3.14 \times {(16 \div 2)}^{3}[/tex]
[tex] = \frac{4}{3} \times 3.14 \times {8}^{3} [/tex]
[tex] = \frac{6430.72}{3} [/tex]
[tex] = 2143.57333...[/tex]
= 2143.57 in³ (rounded to the nearest hundredth)
Is (3,-4) a solution to this system?
Answer:
Bug0
Step-by-step explanation:
tangá Bubv haha yaanka amp
The management of a major diary wanted to determine the average ounces of milk consumed per resident in the state of Texas. Past data indicated that the standard deviation in milk consumption per capita across the U.S. population was 4 ounces. A 95% confidence level is required and the margin of error is not to exceed /- 0.5 ounces. Management wanted to double the level of precision and increase the level of confidence to 99%.
Required:
What sample size would you recommend?
Answer:
The recommended sample size is 1,698
Step-by-step explanation:
The given standard deviation in milk consumption per capita across the U.S., σ = 4 ounces
The required confidence level = 95%
The margin of error, e = ± 0.5
When the precision is doubled, we have the new margin of error = ±0.5/2 = ±0.25
The standard score at 99% confidence level, z = 2.576
The sample size formula is given as follows;
[tex]S = \dfrac{Z^2 \times P \times Q}{E^2}[/tex]
Where;
P × Q = The variance = σ²
∴ P × Q = 4² = 16
The sample size becomes;
S = 2.576² × 16/(0.25²) = 1,698.758656
We round down to get the recommended sample size, S = 1,698
The ratio of health club members who use trainers to those who do not
is 2:7. There are 306 members who use trainers. How many members
does the club have?
Answers
1377
explanation
2:7=9
2=306
9 =?
9×306 = 2754
2 2
=1377 members
help a girl pass her math test pleaseee
Answer:
Your answer is B
Step-by-step explanation:
Answer:
Step-by-step explanation:
A looks good
pls help Graph the rectangle after a 90° clockwise rotation about the origin.
Answer:
can you post the graph so I can answer to the best o my ability
which sign makes the statement true? |6|? -8 greater than less than or equal to?
Answer:
|6| > -8
Step-by-step explanation:
The absolute value of |6| is 6. Because positives are greater than negatives, 6 is greater than -8.
Answer: greater than
Step-by-step explanation: Absolute value shows a number's distance from zero on a number line. 6's distance from 0 is still 6. 6 is greater than -8, therefore l6l>-8
Please please help me!
Answer:
x=19.2
Step-by-step explanation:
sin(28)=9/x
x=9/sin(28)
x=19.2
1/3 times 1/2 times 1/4
Answer:
1/3 x 1/2 x 1/4 = 1/24
Step-by-step explanation:
(PLEASE HELP ME!)
Solve for n 2n ^ 2 = 10n + 48 O A - 4or - 6 OB . 4016 O. 3or - 8 OD- 3 or 8 O E - 3or - 8
Answer:
Option D
Step-by-step explanation :
→ Minus 10n and 48 from both sides
2n² - 10n - 48 = 0
→ Divide everything by 2
n² - 5n - 24 = 0
→ Factorise
( n + 3 ) ( n - 8 )
Answer:
D
Step-by-step explanation:
2n²-10n-48=0
n²-5n-24=0
(n-8)(n+3)
n-8=0
n=8
n+3=0
n=-3
what are all the solutions for the equation 5x^2-2x+16=4x^2+6x
Answer:
x=4 is a solution
The period of a pendulum is the length
of time required to complete one swing
back and forth. If it takes 1.4 sec for a
0.49m pendulum to complete one period,
'What is the period of a 0.36 mpendulum?
Answer:
T₂ = 1.2 s
Step-by-step explanation:
The time period of a simple pendulum is given by :
[tex]T=2\pi \sqrt{\dfrac{L}{g}}[/tex]
Where
L is length of the pendulum
g is acceleration due to gravity
We have,
T₁ = 1.4 s, L₁ = 0.49 m, L₂ = 0.36 m, T₂= ?
[tex]\dfrac{T_1}{T_2}=\sqrt{\dfrac{L_1}{L_2}} \\\\T_2=\dfrac{T_1}{\sqrt{\dfrac{L_1}{L_2}}}\\\\T_2=\dfrac{1.4}{\sqrt{\dfrac{0.49}{0.36}}}\\\\T_2=1.2\ s[/tex]
So, the new time period is equal to 1.2 seconds.
Help me please help ASAP help me ASAP please please help ASAP
Answer:
P = 10π + 30 ≈ 61.4
Step-by-step explanation:
Perimeter = s1 + s2 + s3 + s4
= πd/2 + 15 + πd/2 + 15 = 2 (5π + 15) = 10π + 30 ≈ 61.4
Robin saves $500 at a yearly simple interest rate of 4%. What is the total amount of
money she has after 20 years?
Answer:
$900
Step-by-step explanation:
The formula for simple interest is I = PRT where I is the interest earned, P is the principal/amount deposited or borrowed, R = rate as a decimal, and T = time in years
I = PRT
I = (500)(0.04)(20)
I = 400
Add the interest to the principal, and she will have $900 in 20 years.
Please let me know if you have questions about this.
In a unit circle, 0 = 37 radians. What is the terminal point?
A. (0, -1)
B. (-1,0)
C. (1,0)
D. (0.1)
Answer:
A
Step-by-step explanation:
[tex] \frac{3\pi}{2} = 270[/tex]
On the unit circle, 270 is located between the third and fourth quadrant.
Sin(-90)=-1
Using the peridoicy formula, sin 270=-1. Whenever Sin is 1 or -1, cos is 0. Sin referred as the y value. Cosine is referred as x value so A is the answer.
The terminal point of the given unit circle is (0.6235, 0.7818).
We have,
To find the terminal point of an angle in a unit circle, we need to use the trigonometric ratios of sine and cosine.
The angle Ф = 3π/7 radians is in standard position,
which means its initial side coincides with the positive x-axis.
The sine of theta is given by the y-coordinate of the terminal point, and the cosine of theta is given by the x-coordinate of the terminal point.
sin(theta) = sin(3π/7) ≈ 0.7818
cos(theta) = cos(3π/7) ≈ 0.6235
The terminal point of the angle theta is (cos(theta), sin(theta)):
Terminal point = (0.6235, 0.7818)
Therefore,
The terminal point of the given unit circle is (0.6235, 0.7818).
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PLS HELP!!!The mayor wants to know if her city's residents will support a tax increase to build a new library.
Which method of sampling would produce the least biased results?
The answer is D. Ask every 20th person listed as a resident of the city
HELP PLEASE ILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
50%
- Animals
Home
Economics -
20%
30%
- Farm Mechanics
There were 2500 entries at the county fair. The circle graph tells what types of entries were made.
How many were Farm Mechanics entries?
Answer:
750 were Farm Mechanics.
Step-by-step explanation:
30% of 2500 is 750.
Hope this helps
Find the area of the figure
Answer:
186.66
Step-by-step explanation:
Need help asap!!!
Solve for the horizontal distance
Answer:
Step-by-step explanation:
ANSWER......................
-2x+8x 4>−8
Answer:
x= 3/2 after u like simplify
Step-by-step explanation:
1 Add 44 to both sides.
8x=8+4
8x=8+4
2 Simplify 8+48+4 to 1212.
8x=12
8x=12
3 Divide both sides by 88.
x=\frac{12}{8}
x=
8
12
4 Simplify \frac{12}{8}
8
12
to \frac{3}{2}
2
3
.
x=\frac{3}{2}
x=
2
3
A recent survey reported that small businesses spend 24 hours a week marketing their business. A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing. The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week. Assuming that the population standard deviation is 5.5 hours, is there sufficient evidence to support the chamber of commerce’s claim at the 0.02 level of significance?
Step 1 of 3 :
State the null and alternative hypotheses for the test. Fill in the blank below.
H0: μ=24
Ha: μ ____ 24
Step 2 of 3:
What is the test statistic?
Step 3 of 3:
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?
Answer:
Ha: μ < 24
The test statistic is z = -1.75.
The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.
Step-by-step explanation:
A recent survey reported that small businesses spend 24 hours a week marketing their business.
This means that the null hypothesis is:
[tex]H_0: \mu = 24[/tex]
A local chamber of commerce claims that small businesses in their area are not growing because these businesses are spending less than 24 hours a week on marketing.
This means that the alternate hypothesis is:
[tex]H_a: \mu < 24[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
24 is tested at the null hypothesis:
This means that [tex]\mu = 24[/tex]
The chamber conducts a survey of 93 small businesses within their state and finds that the average amount of time spent on marketing is 23.0 hours a week.
This means that [tex]n = 93, X = 23[/tex]
The population standard deviation is 5.5 hours
This means that [tex]\sigma = 5.5[/tex]
Value of the test-statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{23 - 24}{\frac{5.5}{\sqrt{93}}}[/tex]
[tex]z = -1.75[/tex]
The test statistic is z = -1.75.
Do we reject the null hypothesis? Is there sufficient or insufficient evidence?
The pvalue of the test is the probability of finding a sample mean below 23, which is the pvalue of z = -1.75.
Looking at the z table, z = -1.75 has a pvalue of 0.0401
The pvalue of the test is 0.0401 > 0.02, which means that we do not reject the null hypothesis, as there is insufficient evidence.
Find the point of intersection of the lines in the figure, given that line A, in red, has equation y=x+3 and line B, in blue, has equation 2x+3y=10.
x=
y=
Answer:
(0.2, 3.2)
Step-by-step explanation:
line A, in red, has equation y=x+3 times 3 3y=3x+9
line B, in blue, has equation 2x+ 3y = 10
-3x + 3y = 9 subtract thes two equations
(2x - -3x) + (3y -3y) = 10 - 9
5x + 0y = 1
5x = 1
x = 1/5 or 0.2
y = x + 3
y = 0.2 + 3
y = 3.2
Pls help ASAP PLSSSS!!!
Answer:
D
Step-by-step explanation:
225 is the closest to point (200, 200)
Answer:
c
Step-by-step explanation:
trust