Answer:
(a) See Explanation
(b) [tex]\bar x =50[/tex] and [tex]\sigma_x = 0.8944[/tex]
(c) The shape is normal
(d) [tex]P(\bar x > 55) = 0[/tex]
Step-by-step explanation:
Given
[tex]\mu = \$50[/tex] -- mean
[tex]\sigma = \$20[/tex] --- standard deviation
[tex]n=500[/tex] --- sample size
Solving (a): The reason we can't determine the probability that an amount to access internet by a household will exceed $55.
The question says that a lot of households pay low rates, but the percentage of the households in this category is not given. This means that it is impossible to determine the shape of the distribution.
Hence, the probability cannot be calculated.
Solving (b): Sample mean and Sample standard deviation
The sample mean estimates the population mean
So:
[tex]\bar x =\mu[/tex]
[tex]\bar x =50[/tex]
The sample standard deviation is calculated as thus:
[tex]\sigma_x = \frac{\sigma}{\sqrt n}[/tex]
[tex]\sigma_x = \frac{20}{\sqrt{500}}[/tex]
[tex]\sigma_x = \frac{20}{22.36}[/tex]
[tex]\sigma_x = 0.8944[/tex]
Solving (c): The shape of the distribution.
We have:
[tex]n = 500[/tex] --- The sample size
According to Central limit theorem, When the sample size is greater than 30, then the shape of the distribution is normal.
Hence, the shape is normal
Solving (d): [tex]P(\bar x \ge 55)[/tex]
Calculate the test statistic (t)
[tex]t = \frac{\bar x - \mu}{\sigma}[/tex]
[tex]t = \frac{55 - 50}{0.8945}[/tex]
[tex]t = \frac{5}{0.8945}[/tex]
[tex]t = 5.590[/tex]
So:
[tex]P(\bar x > 55) = P(t > 5.590)[/tex]
Referencing the z table, we have:
[tex]P(t > 5.590) = 0[/tex]
Hence:
[tex]P(\bar x > 55) = 0[/tex]
help me with it thank you
Answer:
Answer is A
Step-by-step explanation:
x+4=4x+2
x+2=4x
2=3x
2/3=x
In the past year and a half, Gnarly the dog lost an average of 2/9 pound each month. Today, Gnarly weighs 14 pounds. How much did Gnarly weigh a year and a half ago?
Answer:
Weight before 18 month = 18 pound
Step-by-step explanation:
Given:
Current weight of dog = 14 pound
Weight lose each month = 2/9 pound
Total number of month = [tex]1\frac{1}{2}[/tex] year = 18 month
Find:
Weight before 18 month
Computation:
Total weight lose = Weight lose each month x Total number of month
Total weight lose = 2/9 x 18
Total weight lose = 4 pound
Weight before 18 month = Current weight of dog + Total weight lose
Weight before 18 month = 14 + 4
Weight before 18 month = 18 pound
Bob wants to fix the window on his house, but can’t quite reach it he gets a ladder to access the window, which is 15 feet from the ground, and he places the ladder 8 feet from the house. How long does the ladder have to be if it reaches the window exactly?
!NO LINKS, NO FILES!
please :)
Answer:
the area is 72
Step-by-step explanation:
Challenge:
Put these in order (least to greatest)
Answer:
1 1/4, -1, -1/4, 0, 1/4, 1
Step-by-step explanation:
Answer:
-1 1/4, -1, -1/4, 0, 1/4, 1,
Step-by-step explanation:
Cody is purchasing sports equiptment for $161.37. In Colorado, the sales tax is 2.9%. What is the total cost, including tax, on his purchase?
Answer:
$166.04
Step-by-step explanation:
take the price and add the percentage.
Answer:
166.05
Step-by-step explanation:
161.37x1.029
This trapezoid-based right pyramid has a volume of 48 m3 what is the area?
Answer:
18m^3
Step-by-step explanation:
Khan Academy, It shows how to do the steps
Which of the following is true?
a. The p-value for a one-tailed test would be the same as the current p-value.
b. The p-value for a one-tailed test would be half the current p-value.
c. If this test was one-tailed instead of two-tailed g, you would reject the null.
d. If this test was one-tailed instead of two-tailed, you would still fail to reject the null.
d. The p-value for a one-tailed test would be double the current p-value.
Answer:
The correct option is c which is if this test was one-tailed instead of two-tailed, you would reject the null.
Step-by-step explanation:
a: This statement cannot be true as the p-value for a 1 tailed test is dependent on the level of significance and other features.
b: This statement cannot be true as there is no valid mathematical correlation between the p-value of the one-tailed test and the current p-value.
c: This statement is true because due to the enhanced level of significance, the null hypothesis will not be rejected.
d: This statement is inverse of statement c which cannot be true.
e: The statement cannot be true as there is no correlation between the current p-value and the p-value of 1 tailed test. The correlation exists between the values of one-tailed and two-tailed p-values.
Mia's birthday party will cost $12 if she invites 4 guests. What is the maximum number of guests there can be if Mia can afford to spend a total of $15 on her birthday party?
What is the angle of elevation of the sun when a 44 ft mast casts a 13ft shadow?
Answer:
here
Step-by-step explanation:
Let the angle of elevation be \thetaθ
\begin{gathered} \therefore \tan \: \theta = \frac{height \: of \: mast}{height \: of \: shadow} \\ \\ \therefore \tan \: \theta = \frac{44}{14} \\ \\ \therefore \tan \: \theta = 3.14285714 \\ \\ \therefore \: \theta = {\tan}^{ - 1} (3.14285714) \\ \therefore \: \theta = 72.349875765 \degree \\ \\ \huge \red{ \boxed{\therefore \:\theta = 72.35 \degree}}\end{gathered}
∴tanθ=
heightofshadow
heightofmast
∴tanθ=
14
44
∴tanθ=3.14285714
∴θ=tan
−1
(3.14285714)
∴θ=72.349875765°
∴θ=72.35°
Hence, angle of elevation of the sun is 72.35°.
Find the solution of the system of equations shown on the graph.
Answer:
(7,9)
Step-by-step explanation:
equations of lines are:
y = x + 2
y = 3x - 12
x + 2 = 3x - 12
-2x = -14
x = 7
y = 7 + 2
y = 9
connie poured 200 milliliters of juice into a glass from a juice carton. She then poured 225 milliliters into a second glass. What is the final change in the volume of the carton?
Answer:
425 ml
Step-by-step explanation:
200+225= 425 ml
1,1,1,2,2,2,2,3,4,4,5,7,8,12,14 what's the median mode and the and range for these numbers
Answer:
median: 3
mode: 2 (appeared 4 times)
range: 13
Step-by-step explanation:
a shopkeeper bought 2 watches for rs 400. he sold them to gain 5% one and loss 5% on other. calculate his final gain or loss percent. if the selling price of both watches is same.
6x + y = -1
-6x - 4y = 4
solve for x and solve for y
9514 1404 393
Answer:
(x, y) = (0, -1)
Step-by-step explanation:
The coefficients of x are opposites, so we can eliminate x by adding the two equations.
(6x +y) +(-6x -4y) = (-1) +(4)
-3y = 3 . . . . simplify
y = -1 . . . . . . divide by -3
Now, we need to find x.
6x -1 = -1 . . . substitute for y in the first equation
6x = 0 . . . . . add 1
x = 0 . . . . . . divide by 6
The solution is (x, y) = (0, -1).
Mai poured 2.6 liters of water into a partially Field pitcher. The pitcher then contained 10.4 liters what is the solution of the equation mean in the situation
Factor completely 21x3 + 35x2 + 9x + 15.
Answer:
= ( 3 x + 5 ) ( 7 x² + 3 )
Step-by-step explanation:
What is bigger 1/9 or -4
Answer:
1/9
Step-by-step explanation:
1/9 since it is positive
Answer:
Its 1/9.
Step-by-step explanation:
1/9 is indeed a fraction, and -4 is a negative number.
7.2x14.3 what is that?
Answer:
102.96
Step-by-step explanation:
Answer:
[tex]102.96[/tex]
Step-by-step explanation:
7 . 2
× 14 . 3
___________
²2 . 16
²28 . 80
72 . 00
____________
¹1¹02.96
Therefor, the answer is 102.96
HELP
Mrs. Tate's car has 11.25 gallons of gas in the tank and uses 0.05 gallons per mile. If Mrs. Tate uses 2.75 gallons driving home from visiting family, which of the following best describes all possible numbers of miles (m) she can drive after returning home before running out of gas?
A.
m > 170
B.
m < 170
C.
m < 280
D.
m > 280
Answer:
B
Step-by-step explanation:
11.25-2.75 = 8.5
8.5/.05 = 170
Answer:
Step-by-step explanation:
170
I need the answer I don’t know what it is so can anybody help.
Answer:
4√3
Step-by-step explanation:
The left triangle is a 30°-60°-90° triangle.
30-60-90 triangles have special side proportions that you should memorize, because you will definitely use it in the future. Please see the attached image.
You can get x by taking 8 and dividing it by 2 to get 4, then multiplying it by √3 to get 4√3.
In an aquarium 2/5 of the fish or surgeonfish. Of these, 3/4 are yellow tangs. what fraction of all fish in the aquarium or yellow tangs
Answer:
3/10 of the aquarium are yellow tangs.
Step-by-step explanation:
Given that in an aquarium 2/5 of the fish or surgeonfish and of these, 3/4 are yellow tangs, to determine what fraction of all fish in the aquarium are yellow tangs the following calculation must be performed:
2/5 = 0.40
0.40 x 3/4 = X
1.20 / 4 = X
0.30 = X
0.30 = 3/10
Therefore 3/10 of the aquarium are yellow tangs.
The Virginia Department of Environmental Quality (VDEQ) uses probabilistic monitoring to regulate the water quality of streams in the Commonwealth of Virginia. Of the 85 Eastern Virginia Sites (group 1), 24 do not meet minimum requirements. Of the 80 units sampled in Western Virginia Sites (group 2), 17 do not meet minimum requirements. Assume the data can be treated as independent simple random samples. To determine whether the proportions of streams that fail to meet minimum requirements in the two areas are equal or not, test the following hypotheses.
a) State the null and alternative hypotheses in order to determine whether the proportions of streams that fail to meet minimum requirements in the two areas are equal or not .
(b) Calculate the value of the test statistic z.
(c) Determine the P-value associated with this observed value of z and draw the conclusion about the hypotheses using alpha=0.05.
Step-by-step explanation:
a) Hn: p1=p2, Ha: p1≠p2
b)
Given:
p1=24/85=0.2824
p2=17/80=0.2125
p=(24+17)/(85+80)=41/165=0.2485
n1=85
n2=80
Z=(p1-p2)/[p(1-p)(1/n1+1/n2)
Z=(0.2824-0.2125)/[0.2485(1-0.2485)(1/85+1/80)
Z=1.0384
c) Since our p-value would be 0.29834, this is higher than our significance level of a=0.05, so we fail to reject the null hypothesis and conclude that there is sufficient evidence to prove that the two proportions are equal.
a) The null hypothesis is given by Hn: p1=p2, Ha: p1≠p2
What is null hypothesis?The hypothesis that there is no significant difference between specified populations, any observed difference being due to sampling or experimental error.
Given that:
p1=24/85=0.2824
p2=17/80=0.2125
p=(24+17)/(85+80)=41/165=0.2485
n1=85
n2=80
Z=(p1-p2)/[p(1-p)(1/n1+1/n2)
Z=(0.2824-0.2125)/[0.2485(1-0.2485)(1/85+1/80)
Z=1.0384
c) Since our p-value would be 0.29834, this is higher than our significance level of a=0.05, so we fail to reject the null hypothesis and conclude that there is sufficient evidence to prove that the two proportions are equal.
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Please answer this and I will give brainliest
Answer:
D is the right answer [(2f+2) / 2(s^3) ]
what is the answer to 50.25 times x
The sum of 2 numbers s 1 and the diffreance is 5 what are th 2 numbers
Answer:
note ;sum of two no. is not 1.
let no. be x and y.
we have
x+y=11.......(1)
x-y=5........(2)
adding equation 1&2
x+y+x-y=11+5
2x=16
x=16/2=8
again
8-y=5
y=8-5=3
:.
x=8,y=3
WILL GIVE BRANLIEST.
Which of the following statements are true?
Select 4 correct answers
1. All of the coordinate pairs in Quadrant 1 are positive.
2. All of the coordinate pairs in Quadrant 3 are negative.
3 All of the coordinate pairs in Quadrant 2 are positive.
4 Everything to the left of zero on the x axis is negative, everything below zero on the y axis is negative.
5The x axis is positive in quadrants 1 & 3
6 The y axis is negative in Quadrants 3 & Quadrant 4.
Answer:
1. True
2. True
3. False
4. True
5. False
6. True
7. Jesus.
Using the following conversions between the metric and U.S. systems, convert the measurement.
Round your answer to 6 decimal places as needed.
1 meter = 3.28 feet
1 Liter = 0.26 gallons
1 kilogram = 2.20 pounds
12.892 dam = [answer] in miles
Answer:
It's 23.131 KL
Suppose a normal distribution has a mean of 34 and a standard deviation of 2. What is the probability that a data value is between 31 and 37? Round your answer to the nearest tenth of a percent.A.86.6%B.88.6%C.87.6%D.85.6%
Answer: it’s 86.6%
Step-by-step explanation:
PLZ RESPOND AS SOON AS POSSIBLE
What point is located at (-2, -6)
a. F
b. G
c. H
d. K
The answer is for your question is letter k