Answer:
i:
The appropriate null hypothesis is [tex]H_0: p \geq 0.2[/tex]
The appropriate alternative hypothesis is [tex]H_1: p < 0.2[/tex]
The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.
ii:
The p-value of the test is 0.1057
Step-by-step explanation:
Question i:
The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it.
At the null hypothesis, we test if the proportion is of at least 20%, that is:
[tex]H_0: p \geq 0.2[/tex]
At the alternative hypothesis, we test if the proportion is less than 20%, that is:
[tex]H_1: p < 0.2[/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.
0.2 is tested at the null hypothesis:
This means that [tex]\mu = 0.2, \sigma = \sqrt{0.2*0.8} = \sqrt{0.16} = 0.4[/tex].
The device will be withdrawn if fewer than 20% of all of the museum’s visitors make use of it. Of a random sample of 100 visitors, 15 chose to use the device.
This means that [tex]n = 100, X = \frac{15}{100} = 0.15[/tex]
Test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.15 - 0.20}{\frac{0.4}{\sqrt{100}}}[/tex]
[tex]z = -1.25[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.15, which is the p-value of z = -1.25.
Looking at the z-table, z = -1.25 has a p-value of 0.1057.
The p-value of the test is 0.1057 > 0.05, which means that there is not sufficient evidence that fewer than 20% of the museum visitors make use of the device, and so, it should not be withdrawn.
Question ii:
The p-value of the test is 0.1057
The inverse of the function f(x) = 1/2 × + 10 is shown h(×) = 2 × -
Answer:
The missing number is 20
Step-by-step explanation:
Given function: f(x) = 1/2x + 10
Rewrite: y = 1/2x + 10
Flip x and y: x = 1/2y + 10
x - 10 = 1/2y
2(x-10) = y
2x - 20 = y
y = 2x - 20
h(x) = 2x - 20
A man invests K8 000 for 5 years at 10%p.a. compound interest.
Calculate the investment value at the end of 5 years.
Answer:
Step-by-step explanation:
Compoud interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. the formula is:
[tex]c_n=c_o(1+i)^n\\\\c_o->initial~invesment\\i->interest\\n->number~of~ intervals[/tex]
[tex]c_5=8000(1+\frac{10}{100})^5\\c_5=12848.88[/tex]
An eagle flies towards south luzon at 90 meters for 5 seconds . What is the speed and velocity of the eagle
Answer:
the speed in 18mph
Step-by-step explanation:
A company studied the number of lost-time accidents occurring at its Brownsville, Texas, plant. Historical records show that 20% of the employees suffered lost-time accidents last year. Management believes that a special safety program will reduce such accidents to 10% during the current year. In addition, it estimates that 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.
Required:
a. What percentage of the employees will experience lost-time accidents in both years?
b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?
Answer:
a. 5% of the employees will experience lost-time accidents in both years
b. 24% of the employees will suffer at least one lost-time accident over the two-year period
Step-by-step explanation:
a. What percentage of the employees will experience lost-time accidents in both years?
20% last year, of those who suffered last year, 25% during this year. So
[tex]p = 0.2*0.25 = 0.05[/tex]
5% of the employees will experience lost-time accidents in both years.
b. What percentage of the employees will suffer at least one lost-time accident over the two-year period?
5% during the two years.
10% during the current year. 25% of employees who had lost-time accidents last year will experience a lost-time accident during the current year.
So the 10% is composed of 5% during both years(25% of 20%) and 5% of the 80% who did not suffer during the first year.
First year yes, not on the second.
75% of 20%. So, total:
[tex]0.05 + 0.05*0.8 + 0.75*0.2 = 0.24[/tex]
24% of the employees will suffer at least one lost-time accident over the two-year period
please answer only neeed solve questions
Answer:
please answer only neeed solve questions
Step-by-step explanation:
I think hlp
Answer: No question asked.
Step-by-step explanation:
If you are making a problem, please actually ask a question. It will use your points if you make questions that don't really mean anything. Thank you.
ABCD ~ QRST
· Find the missing side length, m
Since ABCD ~ QRST
AB/QR = AD/QT
=>6/m= 9/6
=> m = (6×6)/9 = 36/9 = 4
Answer:
m=4
Step-by-step explanation
since they are similar triangle .use these ratios
given:AB=6 , AD=9 , QR=m , QT=6
AB/QR=AD/QT
6/m=9/6
do cross multiplication
m*9=6*6
9m=36
m=36/9
m=4
therefore the value of m is 4
According to the Venn diagram below, what is P(A, BAC)?
1/10
Step-by-step explanation:
A∩B∩C means what these 3 numerical sets have in common, and it is the 2 in the center of the circle. The total elements in the pic are 20, and there are 2 elements inside the P, so
2/20 = 1/10
An account pays 6% compound interest. In year 1, the amount in the account is $70. How much is in the account in year 5?
Answer:
$91 is the answer.
Step-by-step explanation:
R = 6%
P = $70
T = 5 year
now
I = PTR/100
=(70×5×6)100
= 2100/100
= $21
So,
I = A-P
21 = A-70
21+70 = A
so, A = $91
Question 22
Find the volume.
Answer:
D
Step-by-step explanation:
area times height dived by 3
note that the radius is 8
Answer:
D. [tex]\frac{512}{3}\pi[/tex] ≈ 535.9 m³
Step-by-step explanation:
Formula = πr²* h/3
Volume = π * 64 * 8/3
Volume = π * 512/3 = 535.89 ≈ 535.9
Answer = D. [tex]\frac{512}{3}\pi[/tex] ≈ 535.9m³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Plot the points (-6,8)(−6,8)left parenthesis, minus, 6, comma, 8, right parenthesis and (0,8)(0,8)left parenthesis, 0, comma, 8, right parenthesis on the coordinate plane below.
Answer:
hello I cant help you right now try again later
comment faire un patron d un prisme
Le volume d'un prisme triangulaire peut être trouvé en multipliant la base par la hauteur. Les deux images des prismes triangulaires ci-dessous illustrent la même formule. La formule, en général, est l'aire de la base (le triangle rouge dans l'image de gauche) multipliée par la hauteur, h.
Answer:
oui
Step-by-step explanation:
Part A
A bag contains 4 blue and 6 green marbles. Two marbles are selected at random from the bag. If the first marble is replaced before the second marble is drawn, what is P(blue second | green first)?
Part B
If the first marble is not replaced before the second marble is drawn, what is P(blue second | green first)?
Answer:
If the first marble is replaced before the second marble is drawn, the probability of P is 24%; while if the first marble is not replaced before the second marble is drawn, the probability of P is 26.66%.
Step-by-step explanation:
Since a bag contains 4 blue and 6 green marbles, and two marbles are selected at random from the bag, to determine, if the first marble is replaced before the second marble is drawn, what is P (blue second | green first) and , if the first marble is not replaced before the second marble is drawn, what is P (blue second | green first) the following calculations must be performed:
Blue = 4/10
Green = 6/10
A) 6/10 x 4/10 = 0.24
B) 6/10 x 4/9 = 0.2666
Therefore, if the first marble is replaced before the second marble is drawn, the probability of P is 24%; while if the first marble is not replaced before the second marble is drawn, the probability of P is 26.66%.
A ladder is put against a building. The building is 25 feet tall. The ladder's base is 13.5 feet from the building. Find the angle which the ladder makes with the ground.
Answer:
correct me if i'm wrong but it's 57.32 degrees?
If the mean of a normal distribution is 105, what is the median of the distribution? O A 315 OB. 105 O C. 420 D. 210 SUBM
Answer:
105
Step-by-step explanation:
A normal or symmetrical distribution where each the distance between each side of the distribution to the midpoint is the same, a normal distribution, also called a symmetrical distribution has the se value for both its median and mean. Hence, if the mean of a normal distribution is x, then it's median will also be x.
For the scenario given,
Since mean = 105 ; then median = 105
Find the value of x.
Answer:
A
Step-by-step explanation:
because this shapes angle would be out of 360 so you do 360-83-85-69=123 is the answer you get.
hope it make sense:)
A set of data with a mean of 53 and a standard deviation of 2.3 is normally distributed. Find the values that are 3 standard deviations from the mean.
Answer:A z-score is measured in units of the standard deviation. ... is two, the value 11 is three standard deviations above (or to the right of) the mean. ... The following two videos give a description of what it means to have a data set that is “normally” distributed. ... The z-scores for µ+3σ and µ–3σ are +3 and –3 respectively.
Step-by-step explanation:
I don’t know the answer help! ?
Answer:
m∠8=120°
Step-by-step explanation:
Given that lines L and M are parallel to each other, keep in mind that ∠1 and ∠8 are opposite exterior angles, so they will be congruent to each other. Therefore, m∠8=120°.
[tex]9x {}^{2} y {}^{3} z {}^{5} \div 6x {}^{3} yz {}^{2} [/tex]
Answer:
3y²z³ / 2x
Step-by-step explanation:
we can take one term at a time:
9/6 can be simplified to 3/2
x²÷x³ = x^-1 which equals [tex]\frac{1}{x}[/tex]
y³÷y = y²
z⁵÷z² = z³
put it all together:
3·[tex]\frac{1}{x}[/tex]·y²·z³ / 2 or
3y²z³ / 2x
please help! (listing BRAINLIST and giving points) :D
Step-by-step explanation:
here,
p=5
h=8
b=?
we know that,
b²=h²-p²
= 8²-5²
=39
b=√39
now
cot=b/p
= √39/5
CSC=h/p
=8/5
sin=p/h
=5/8
What conclusion can be determined from the dot plot below? A dot plot showing two dots above 6, 7, 8, 9 and 10 each. (3 points) a The number of observations is 5. b The median of the data set is 5. c The mean of the data set is 8. d The range of the data set is 8.
Answer:
C. The mean of the data set is 8.
Step-by-step explanation:
From the dot plot we can make a frequency table as follows:
Number of books read Frequency
6 2
7 2
8 2
9 2
10 2
Since, the number of dots are 10 or then sum of the frequencies is 10.
Hence, the number of observations are 10.
Also, the median of the set is: 8
Now, the mean is calculated as:
Hence, Mean of the data set is: 8
Now, the range of the data set is the difference between the minimum and the maximum value.
Hence, range=10-6=4
The range of the data set is 4.
Answer:
c
Step-by-step explanation:
8 less than the sum of 9 and s
8 - (9 + s)
Is this it?
Can y’all help me on question 10?!
Answer: 64 square inches (choice B)
========================================================
Explanation:
Split the house shaped figure into a triangle on top and a rectangle down below.
The rectangle has area of length*width = 8*6 = 48 square inches. The 6 is from 10-4 = 6.
The triangle has area of base*height/2 = 8*4/2 = 32/2 = 16
Overall, the total area is 48+16 = 64 square inches
City A is due north of City B. Find the distance between City A ( north latitude) and City B ( north latitude). Assume that the radius of Earth is 3960 miles.
The distance between City A and City B is ___miles.
Can someone help?! Show me step by step how this is done that I can understand it better.
=========================================================
Explanation:
The notation [tex]47^{\circ}4'[/tex] means "47 degrees, 4 minutes". The "minutes" isn't referring to a time value, but instead they are arc minutes. If we divide one degree into 60 equal pieces, then we form 60 arc minute slices. So in a sense, we are using a round analogue clock to help connect the two ideas.
We can convert to purely degrees through using this formula here
[tex]a^{\circ}b' = a + \frac{b}{60}[/tex]
So,
[tex]47^{\circ}4' = 47 + \frac{4}{60} \approx 47.06667^{\circ}[/tex]
and similarly,
[tex]22^{\circ}46' = 22+ \frac{46}{60} \approx 22.76667^{\circ}[/tex]
Now subtract the two results we got
47.06667-22.76667 = 24.3
The angular distance between the two cities is 24.3 degrees. By "angular distance" I basically mean how far you need to rotate your viewing angle when looking from city A to city B. Imagine that you're able to be situated at the center of the earth.
The circumference of the earth is
C = 2*pi*r
C = 2*pi*3960
C = 24,881.4138164311
which is approximate and the units are in miles. We multiply by the fraction 24.3/360 to find the arc distance along the curve that corresponds to the angle 24.3 degrees. This is because we don't want the whole circumference, but just a small fraction of it.
So (24.3/360)*24,881.4138164311 = 1,679.4954326091
This rounds to 1679
The distance between the two cities is about 1679 miles.
9514 1404 393
Answer:
1679 miles
Step-by-step explanation:
One minute is 1/60 of a degree, so the difference in latitudes is ...
47 4/60 -22 46/60 = 24 18/60 = 24.3 . . . degrees
The arc length is given by ...
s = rθ . . . . . . r = radius, θ = angle in radians
180° is π radians, so the surface distance between the two cities is ...
s = (3960 mi)(24.3×π/180) = 534.6π mi ≈ 1679.495 mi
The distance between City A and City B is about 1679 miles.
_____
Additional comment
As a good approximation, the distance is about 60 nautical miles per degree of latitude. Using that approximation, and converting from nautical miles to statute miles would give a distance of 1678 miles.
Oliver wants to compare the number of hours 7th graders
and 8th graders play video games per week. He makes a
box-and-whisker plot for each data set.
8th Grade
7th Grade
10
12
14
16
18
20
22
24
26
28
30
32
Which value do you know is lesser for 7th grade than 8th
grade?
points points points have a great day !!!
Answer:
thx for the points and i hope you will also have a great day ahead!!
Answer:
I'll take that thank you!
Step-by-step explanation:
so basically, you multiply the quotient of of the diameter of the sun in 5 years and 74 apple trees in the equator and subtract the sum of that to get the numeral answer of the equation which is 69 then you flip the earth to a 180° angle which sets the moon 420km away from venus which results in the moon orbiting the galaxy at 69.000 km per sec which then results to the moon vomiting at earth making a huge swamp then that said swamp emits 500 shreks then the shreks eat humanity leading to shrek ruling the milky way
In parallelogram JKLM if m
Answer:
155 degree
Step-by-step explanation:
x + 25 = 180 degree (sum of adjacent angles of a parallelogram are equal)
x = 180 - 25
x = 155 degree
I’ll mark brainliest
Answer:
the answer is A
Step-by-step explanation:
the granpa bought 3 of the hoagie meals which means its 8×3 which is 24.
therefore he bought x of the burger meals. which means that it must be 6× X which means it is 6x.
lastly they ask for the total cost so you need to add the 24 to the 6x to get the total
Why do a lot of kids not have data and only WiFi?
Answer:
maybe because it is the only thing they can afford?
Step-by-step explanation:
this has many solutions to it, but to me it is simply because wifi is stationary and companies don't need to keep upgrading their systems to help them get internet in remote areas, so it is easier to find a place called home. but other than the wifi being great band-width strength, i can't see a reason why people (kids specifically) can't use data while on the go because some data plans can make it even cheaper than long-term wifi plans and at the same time some can also have signal strength that is acute to having home-wifi. and even better yet, you can still have mobile data inside your home without any difference in signal strength. so i say other-wise we could one-day ditch the old way of getting internet
Consider the following generic fixed effects model, along with a two-period (t = 1, 2), randomly sampled panel data set with dependent variable y and independent variable x: y_it = beta_0 + delta_0 d2_t + beta_1x_it + a_i + u_it where y_it = value of y for individual i at time t d2_t = binary variable equal to 1 in the second time period (t = 2), and 0 otherwise (t = l) x_it = value of x for individual i at time t a_i = unobserved (time-invariant) effect u_i = idiosyncratic error Taking the first difference of the model (that is, subtracting the regression equation for t=l from the regression equation for t=2) yields the following first-differenced equation: delta y_i = y_i2 - y_i1 = You now plan to use OLS to estimate your first-differenced equation, in order to obtain the first-differenced estimator. Suppose that delta x_i is correlated with delta u_i. True or False: The first-differenced estimator is unbiased.
A. True
B. False
Answer:
True
Step-by-step explanation:
The difference estimator is used to address the problem of omitted variables. It is used with standard fixed effects model and the data correlated is identified using regression model. The first differenced estimator used in the equation is unbiased.
The area of a rectangle is three times the area of a square. What is the width of the rectangle if it's length is 24 in. and the side of the square is 12 in?
Answer:
18 in
Step-by-step explanation:
Area of rectangle = 3 times the area of the square
Area of square = a² ; a = side length
a = 12 in
Area of square = 12² = 144 in²
Area of rectangle = 3 * 144 = 432 in²
Length of rectangle = 24 in
Width = x
Area of rectangle = length * width
432 = 24 * x
x = 432 / 24
x = 18 in