Answer:
rgb
Step-by-step explanation:
wrtbtrb
a) The null hypothesis is: p = 0.8 and the alternative hypothesis is p ≠ 0.8.
b) p-value is 0.0838
c) We accept the null hypothesis
What are null and alternative hypothesis?The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.
What is p-value?A p-value is a statistical measurement used to validate a hypothesis against observed data.
a. Let p be the proportion of 8 out of 10 dentists.
The null hypothesis is
[tex]H_0 : p=\frac{8}{10}=0.8[/tex]
The alternative hypothesis is
[tex]H_1:p\neq 0.8[/tex]
b. The sample proportion [tex]\hat p=\frac{73}{85}\approx 0.86\\[/tex]
Z-score, the test statistic is
[tex]Z=\frac{\hat p-p}{\frac{\sqrt{p(1-p)}}{n} } \\\\Z=\frac{0.86-0.8}{\frac{\sqrt{0.8(1-0.8)}}{85} }\\ \\Z=\frac{0.06}{0.043386}\\ \\Z=1.3829\\\\Z\approx 1.38[/tex]
P(Z > 1.38) = 1 - P(Z < 1.38)
∴ P(Z > 1.38) = 1 - 0.9162 = 0.0838
p-value is 0.0838
c. Since the p-value is greater than the level of significance α=0.05, we reject the alternative hypothesis and accept the null hypothesis
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3. West Fremont is a community consisting of 3,000 homes. A small coal-burning power plant currently supplies electricity for the town. The capacity of the power plant is 12 megawatts
(MW) and the average household consumes 8,000 kilowatt hours (kWh) of electrical energy each year. The price paid to the electric utility by West Fremont residents for this energy is $0.10 per kWh. The town leaders are considering a plan, the West Fremont Wind Project (WFWP), to generate their own electricity using 10 wind turbines that would be located on the wooded ridges surrounds the town. Each wind turbine would have a capacity of 1.2 MW and each would cost the town $3 million to purchase, finance, and operate for 25 years.
(a) Assuming that the existing power plant can operate at full capacity for 8,000 hrs/yr, how many kWh of electricity can be produced by the plant in a year?
(b) At the current rate of electrical energy use per household, how many kWh of electrical energy does the community consume in one year?
(c) Assuming that the electrical energy needs of the community do not change during the 25-year lifetime of the wind turbines, what would be the cost to the community of the electricity supplied by the WFEP over 25 years? Express your answer in dollars/kWh.
Power is the rate of doing work, and the power of the generating plant or
turbine and the duration of generation, gives the energy generated.
The correct responses are;
(a) 96 × 10⁶ kWh(b) 24 × 10⁶ kWh(c) 0.05 dollars/kWhReasons:
Number of homes in the town = 3,000 homes
The given capacity of the power plant = 12 MW = 12,000 kW
Power consumed by a household = 8,000 kWh per year
The price for electrical energy = $0.10 per kWh
Number of wind turbines = 10
WFWP = The West Fremont Wind Project
Capacity of each wind turbine = 1.2 MW
Cost of each wind turbine for 25 years = $3 million
(a) Number of hours of operation of the power plant = 8,000 hrs/yr
Required:
The amount of kWh of electricity produced in a year by the plant.
Solution:
The energy produced = Power × Time
∴ The energy produced = 12,000 kW × 8000 hr = 96,000,000 kWh
Therefore;
The energy produced by the plant in a year, E = 96 × 10⁶ kWh
(b) Energy consumed = Energy consumed per home × Number of homes
Therefore;
Energy consumed = 8,000 kWh/home × 3,000 homes = 24,000,000 kWh
The energy the community consumes in one year = 24 × 10⁶ kWh
(c) The cost per kWh = $0.10
The cost, C, of the energy per year is therefore
C = 24,000,000 kWh × $0.10/kWh = $2,400,000
The cost for 25 years = 25 × C = 25 × $2,400,000 = $60,000,000
The number of wind turbines = 10
Cost per wind turbine = $3 million
Total cost to operate the 10 wind turbine = $3 million × 10 = $30 million
Energy consumed = 24,000,000 kWh
Therefore;
24,000,000 kWh × 25 = $30 million
[tex]\displaystyle 1 \ kWh = \frac{\$ 30 \ million}{25 \times 24,000,000 \ kWh} = \mathbf{\$0.05/kWh}[/tex]
The cost to the community of the electricity supplied by WFWP over 25 years is $0.05/kWh.
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Which graph shows a function and it’s inverse?
Answer:
C. PO
Step-by-step explanation:
SURE PO AKO DYAN PA BRAINLEST PO
TAMA PO TALAGA YAN
SOMEBODY HELP NO LINKS PLZ AND THANK YOU
The cost of a dog walker for n hours is given by f(n)=5 +10n. Which statement is true
A for each additional hour of service, the price of the dog walker increases by $ 15
B for each additional hour of service, the price of the dog walker increases by $5
C for each additional hour of service, the price of the dog walker increases by $10
D for each additional hour of service, the price of the dog walker decreases by $10
Answer:
C for each additional hour of service, the price of the dog walker increases by $10
Step-by-step explanation:
substitute any hour in f(n)=5+10n
for example, 1hr is 5+10×1=$15
2hr is 5+10×2=$25
3hr is 5+10×3=$35
4hr is 5+10×4=$45
and so on....
you can see that the price increases every $10
its suppolsy the hardest question in math
Answer:
E
Step-by-step explanation:
[tex]\sqrt{\dfrac{64}{49}} = \dfrac{\sqrt{64}}{\sqrt{49}} = \dfrac 87[/tex]
Answer:
E
Step-by-step explanation:
*WILL GIVE BRAINLIEST FOR BEST ANSWER*
Jasper won the raffle at the zoo and gets to feed the dolphins! The dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins. Each dolphin gets 3 fish.
Which equation can you use to find the number of fish f in the bucket before Jasper feeds the dolphins?
Solve this equation for f to find the number of fish in the bucket before Jasper feeds the dolphins.
fish
The number of fish in the bucket before Jasper feeds the dolphins was 12.
Since Jasper won the raffle at the zoo and gets to feed the dolphins, and the dolphin trainer gives Jasper a bucket of fish to divide evenly among 4 dolphins, and each dolphin gets 3 fish, to find the number of fish F in the bucket Before Jasper feeds the dolphins, the following equation must be performed:
Number of dolphins = D Fish for each dolphin = E Total fish = F D x E = F 4 x 3 = F 12 = F
Therefore, the number of fish in the bucket before Jasper feeds the dolphins was 12.
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20 POINTS!! PLEASE HELP DUE NOWWW!
Gia started to solve the equation 3(x − 10) − 5x = 2x − 26 below. They want to move the variables to the left side of the equation for their next step.
Fill in Line 4 and give the property.
Line 1: 3(x − 10) − 5x = 2x − 26 Original Problem
Line 2: 3x − 30 − 5x = 2x − 26 Distributive Property
Line 3: -2x − 30 = 2x − 26 Collect Like Terms
Line 4: _______________ _______________
The value of x from the given equation is -1
Given the equation expressed as:
[tex]3(x - 10) - 5x = 2x - 26[/tex]
Expand using the distributive law as shown:
3x - 3(10) - 5x = 2x - 26
3x - 30 - 5x = 2x - 26
Collect the like terms to have:
3x - 5x - 2x = -26 + 30
-2x - 2x = -26 + 30
Simplify the result by addition and subtraction:
-4x = 4
Divide both sides by -4 (Division property of equality)
-4x/-4 = 4/-4
x = -1
Hence the value of x from the given equation is -1
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A parking garage charges $1.76 for the first hour and $0.50 for each additional hour or part of an hour. What is the maximum length of timo Tom can park in the garage if he wishes to pay no more than $2.76?
Answer: 3 hours
Step-by-step explanation:
Jimmy has 26,387
dollars for every of toys
he sells. how much
money will he make
for 10 toys?
Answer:
263,870
Step-by-step explanation:
Answer:
263,870
Step-by-step explanation:
You have 26,387 then you will multiply it by 10 and you'll get 263,870
slope y-intercept form of an equation for a line that has an x-intercept of "-3" and goes through (-2,2)
Answer:
y=2x+6.
Step-by-step explanation:
1) the condition 'an x-intercept of "-3"' means the point A with the coordinates (-3;0), then it is possible to make up the required equation according to the rule (the coordinates (-2;2) belong to the point B):
[tex]2) \ \frac{x-X_B}{X_A-X_B}=\frac{y-Y_B}{Y_A-Y_B}, \ where \ X_A=-2;Y_A=2;X_B=-3;Y_B=0.[/tex]
after the substitution the coordinates into the rule:
[tex]\frac{x+3}{-2+3} =\frac{y-0}{2-0}; \ => \ \frac{x+3}{1}=\frac{y}{2}; \ => \ y=2x+6.[/tex]
10,260 words/minute = words/second
Answer:
171
Step-by-step explanation:
Find two numbers the quotient is between . Then estimate quotient. 41 divided by 3
Answer:
13.6
Step-by-step explanation:
The quotient is the outcome of a division problem so it is what 41 divided by 3 equals. Which it equals 13.666 in short 13.6
Please I need help with this
Guys I need your help
There are 16 ounces in 1 pound John is mailing a package that weighs 10 pounds he wants to know the weight of the package in 1 ounce complete the statement to describe how to convert pounds to ounces to find weigh in ounces blank the number of pounds by unit rate blank ounces per pound
Answer:
multiply
16
Step-by-step explanation:
yeah-ya....... right?
Please look for the question in the picture.
Answer:
x = 8
Step-by-step explanation:
[tex]\frac{1}{4} x-\frac{3}{5} =1\frac{2}{5}[/tex]
[tex]\frac{1x}{4} -\frac{3}{5} =\frac{7}{5}[/tex]
[tex]\frac{1x}{4} =\frac{7}{5} +\frac{3}{5} \\[/tex]
[tex]\frac{1x}{4} =\frac{10}{5}[/tex]
Use cross multiplication.
[tex]5x=4*10[/tex]
[tex]5x=40[/tex]
[tex]\frac{5x}{5}=\frac{40}{5}[/tex]
[tex]x=8[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
Hello There!
Question:-
[tex]\sf \longmapsto1/4x-3/5=1\dfrac{2}{5}[/tex]
We need to find the value of x.
Solution:-
Convert[tex] \dfrac{2}{5}[/tex] to improper fraction:-
[tex] \sf \longmapsto\dfrac{1}{4} x + \dfrac{ - 3}{5} = \dfrac{7}{5} [/tex]
Add 3/5 to both sides:-
[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ - 3}{5} + \red {\dfrac{3}{5}} = \dfrac{7}{5} + \red{\dfrac{3}{5}} [/tex]
On Simplification:-
[tex]\sf \longmapsto \: \dfrac{1}{4} x + \dfrac{ 3}{5} - \dfrac{3}{5} = \dfrac{7 + 3}{5} [/tex]
[tex]\sf \longmapsto \: \dfrac{1}{4} x - 0 = \cancel \dfrac{10}{5} [/tex]
[tex]\sf \longmapsto \dfrac{1}{4} x = 2[/tex]
Multiply both sides by 4 :-
[tex]\sf \longmapsto \: \red4 \times \bigg( \dfrac{1}{4} x \bigg) = \red 4 \times 2[/tex]
On Simplification:-
[tex]\sf \longmapsto \: \cancel 4 \times \dfrac{1}{ \cancel4}x = 4 \times 2[/tex]
[tex]\sf \longmapsto \: x = 8[/tex]
______________________________________
Henceforth,The value of x is :-
[tex] \boxed{ \huge\bf \: x = 8}[/tex]
________________________________
Please let me know if you have any questions.
~MisterBrian
Please help me!!!!!!!!!
Answer:
y=25x+1150
Step-by-step explanation:
1425-1275=150
150/6=25 so 25 dollars per month
1275-5(25)
1275-125=1150
y=25x+1150
What is the answer to the question. Solve for x
Answer:
Answer:
[tex]x=\frac{75}2[/tex]
Step-by-step explanation:
Give letters, as in the attached image.
The triangles ABE and CDE are similars (AAA). In particular [tex]AE:CE=BE:DE \rightarrow 46:30=(x+20):x \rightarrow 46x=30(x+20) \rightarrow 23x=15x+300 \rightarrow 8x=300\rightarrow x=\frac{75}2[/tex]
Read Fred's conclusion. If the sum of the digits of a number is a multiple of 3. then the number is a multiple of 6. Which statement best summarizes Fred's conclusion? The conclusion is true.
A .The number 42 is an example The conclusion is true.
B There are no counterexamples The is false.
C There are no counterexamples. The conclusion is false.
D The number 45 is a counterexample
Answer:
the answer would be a because 42÷6=7 and 42÷3=14.
The correct answer is option A) The number 42 is an example The conclusion is true.
42 is a multiple of both 3 and 6.
How many does multiple mean?
Containing more than once, or more than one; consisting of more than one; manifold; repeated many times; having several, or many, parts.
What is a multiple in math?A multiple in math is the number you get when you multiply a certain number by an integer. For example, multiples of 5 are: 10, 15, 20, 25, 30…etc. Multiples of 7 are: 14, 21, 28, 35, 42, 49…etc.
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Find the value of x in the figure.
x = 64
since , it is vertically opposite
Noah starts with 0 and then adds the number 5 four times. Diego starts with 1 and then multiplies by the number 5 four times. For each expression, decide whether it is equal to Noah’s result, Diego’s result, or neither.
Answer:
Diego's result is the same as Noah's result.
Step-by-step explanation:
Noah: 5+5+5+5=20
Diego: (1x5) + (1x5)+(1x5)+(1x5)= 20
What is 10³?
10
100
1000
Answer:
1000
Step-by-step explanation:
Answer: 1000, hope it helps.
Step-by-step explanation:
Can someone please explain step by step on how to do times fractions? Like for an a example!
4/5 • 2/3 ?
Of course!
First, you'll need to line up both of your fractions, there's no need to have common denominators because you'll be multiplying straight across.
Next, multiply both numerators together straight across, then denominators.
4·2= 8
5·3= 15
Most fractions will need simplified after you've multiplied your fractions, but your product (8/15) doesn't need simplified since there's no common factors with 8 and 15, or a relationship.
Answer: 8 / 15
what is 2 + 2 no one in my class can get it my teacher says its the hardest question I want to look smart please help
Answer:
4
Step-by-step explanation:
use your fingers and count 2 fingers then put 2 more up and count how many u got then. boom u got 4
2. Dominique baked 4 dozen muffins. She wants to put the muffins in packages of 6.
How many packages will she have?
A 6
(B 8
© 10
0 24
E 288
Answer:
24 packages
Step-by-step explanation:
One dozen is 12, so 4 x 12 = 24
Las medidas de posición dividen una distribución ordenada en grupos con la misma cantidad de datos.
Answer:
no entiendo tu pregunta xD !?
Answer:HOLA
Step-by-step explanation:Mi casa su casa , come estas , si uno
Shayna pays 20 for 5 bottles of juice. What is the unit price for the bottles of juice?
6+√27/4-√3 can be written in the form r +s√3/13
where are both r and s integers
what are the values of r and s
[tex]r = \left(\dfrac{33}{13}\right)[/tex]
[tex]s = \left(\dfrac{10}{13}\right)[/tex]
Step-by-step explanation:
Let's multiply and divide the given fraction by the conjugate of the denominator:
[tex]\dfrac{6+\sqrt{27}}{4-\sqrt{3}}×\dfrac{4+\sqrt{3}}{4+\sqrt{3}}[/tex]
[tex]\;\;\;\;= \dfrac{24 + 6\sqrt{3} + 4\sqrt{3} + \sqrt{27}\sqrt{3}}{13}[/tex]
[tex]\;\;\;\;=\frac{1}{13}(24 + 10\sqrt{3} + \sqrt{81})[/tex]
[tex]\;\;\;\;=\frac{1}{13}(33 + 10\sqrt{3})[/tex]
[tex]\;\;\;\;=\left(\dfrac{33}{13}\right) + \left(\dfrac{10}{13}\right)\dfrac{\sqrt{3}}{13}[/tex]
We can see here that
[tex]r = \left(\dfrac{33}{13}\right)[/tex]
[tex]s = \left(\dfrac{10}{13}\right)[/tex]
The value of the variable 'r' and 's' will be 33 and 18, respectively.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The two equations are given below.
(6 + √27) / (4 - √3) and (r + s√3) / 13
Simplify the expression (6 + √27) / (4 - √3), then we have
[tex]\rightarrow \dfrac{6 + \sqrt{27}} { 4 - \sqrt3} \times \dfrac{4 + \sqrt3} { 4 + \sqrt3} \\\\[/tex]
⇒ [(6 + 3√3)(4 + √3)] / (4² - 3)
⇒ [(24 + 6√3 + 12√3 + 9)] / (16 - 3)
⇒ (33 + 18√3) / 13
Compare the expression (33 + 18√3) / 13 with (r + s√3) / 13, then the value of r and s will be given as,
r = 33
s = 18
The value of the variable 'r' and 's' will be 33 and 18, respectively.
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Un multiplu de două cifre, diferit de 24, al numărului 24 este........................
VA ROG REPEDE DAU COROANA
Answer:
Un multiplu de două cifre, diferit de 24, al numărului 24 este 48
The following represents the inflation rates of foreign country X for the past 5 years:
Year 1: 35%
Year 2: 20%
Year 3: 25%
Year 4: 30%
Year 5: 15%
Which statement is correct about the selection of a functional currency for country X at the end of year 5.
a.
Country X is highly inflationary; the US dollar must be used
b.
Country X is highly inflationary; the foreign currency must be used
c.
Country X is not highly inflationary; the US dollar must be used
d.
Country X is not highly inflationary; either the US dollar or the foreign currency may be used depending on the factors to determine the functional currency
e.
Country X is not highly inflationary; the foreign currency must be used
Answer:
year 3:25 A,C,E
Step-by-step explanation:
what are the first 6 numbers of pi
Step-by-step explanation:
3.141592653............
Owen and Arianna are helping their friend Benjamin move. Owen can move one box for every two boxes that Arianna can move. If Owen moves twelve boxes, how many boxes can Arianna move?
Answer:
Ariana can move 24 boxes. Hope this helps.
Pls give brainliest. :D