Answer:
Test statistic = 3.21;
Pvalue = 0.0019;
Reject H0 and conclude that the mean conversion rate is greater than 30.
Step-by-step explanation:
Hypothesis :
NULL ; H0 : μ = 30
ALTERNATIVE ; H0 : μ > 30
Sample, x : 52.3 41.1 28.8 67.8 78.6 72.3 9 19.0 30.3 41.0 63.0 80.8 26.8 37.3 38.1 33.6 14.3 30.1 33.4 36.2 34.6 40.0 81.2 59.4
Sample Mean, xbar = 43.71 (using calculator)
Sample standard deviation, s = 20.95 ( calculator)
Sample size, n = 24
Take, α = 0.05
Test statistic :
(xbar - μ) ÷ (s/√n)
(43.71 - 30) ÷ (20.95/√24)
13.71 / 4.2764008
Test statistic = 3.21
Degree of freedom, df = n - 1 = 24 - 1 = 23
The Pvalue, using a Pvalue calculator : (3.21, 23)
Pvalue = 0.001942
Pvalue = 0.0019 ( 4 decimal places).
Decison :
Reject H0 ; if Pvalue ≤ α
Since Pvalue is very low and lesser than α ` We reject H0 and conclude that the mean conversion rate is greater than 30.
Solve the simultaneous equations
3x + 5y = 21
3x – y=3
Answer:
Using substitution method
x=2
y=3
The following equations define a system. −2x + y = 10 x + 2y = 5 Which graph represents the system? The graph shows a line that passes through negative 5 comma 0 and 0 comma 2.5. There is a second line that passes through 0 comma 10 and 5 comma 0. The lines intersect at 3 comma 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma 10. There is a second line that passes through 0 comma 2.5 and 5 comma 0. The lines intersect at negative 3 comma 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma negative 2.5. There is a second line that passes through 0 comma negative 10 and 5 comma 0. The lines intersect at 3 comma negative 4. The graph shows a line that passes through negative 5 comma 0 and 0 comma negative 10. There is a second line that passes through 0 comma negative 2.5 and 5 comma 0. The lines intersect at negative 3 comma negative 4.
The graph of the system of linear equations is attached with the answer.
What is the general equation of a straight line?The general equation of a straight line is -
y = mx + c
{m} - slope.
{c} - intercept along the y - axis.
Given is the system of linear equations as given -
- 2x + y = 10
x + 2y = 5
The given system of linear equations is -
- 2x + y = 10
x + 2y = 5
Refer to the graph of the system of linear functions attached. The point (-3, 4) is the solution set of this system of equation.
Therefore, the graph of the system of linear equations is attached with the answer.
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Plz answer this i need help its done today
Answer:
1) 1/10
2) 1/2
3) 1/5
Step-by-step explanation:
1)
1 favorable outcome and 10 total outcomes.
[tex]P(3) = \frac{1}{10}[/tex]
2)
5 favorable outcomes and 10 total outcomes
[tex]P(even) = \frac{5}{10} = \frac{1}{2}[/tex]
3)
2 favorable outcomes and 10 total outcomes
[tex]P(multiples\ of\ 5) = \frac{2}{10} = \frac{1}{5}[/tex]
Find the product of -2, -4, -6, and , -9
Answer:
product is 432
Step-by-step explanation:
(-2)(-4)=8
(-6)(-9)=54
(8)(54)=432
Flying against the wind, an airplane travels 4720 kilometers in 8 hours. Flying with the wind, the same plane travels 4040 kilometers in 4 hours. What is the rate of the plane in still air and what is the rate of the wind?
The rate based on the information will be 590 kilometers per hour and 1010 kilometers per hour
How to calculate the rate?Rate in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that rate contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
Since the an airplane travels 4720 kilometers in 8 hours. The rate is:
= 4720 / 8
= 590 kilometers per hour
Flying with the wind, the same plane travels 4040 kilometers in 4 hours. The rate will be:
= 4040 / 4
= 1010 kilometers per hour
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Use the first five terms of the exponential series of ex and a calculator to approximate the value of e0.8 to the nearest hundredth.
a.
2.24
c.
4.24
b.
2.22
d.
4.22
Answer:
.632
6 * 1/10 = 3/5
3*0.01 = 0.03
3/5 + 0.03 = .63
2*0.002 = .002
.63 + 0.002 = .632
Step-by-step explanation:
Im just guessing but i think it would be b... if i'm wrong im really sorry
The Lateral Area of a cylinder is 8II square feet and its height is 4 ft. Find the radius,
O 12
08
0 1
03
9514 1404 393
Answer:
C. 1
Step-by-step explanation:
The lateral area is given by the formula ...
LA = 2πrh
Filling in the given values, you have ...
8π = 2π·r·4
1 = r . . . . . . . . divide by the coefficient of r
The radius of the cylinder is 1 foot.
Graph the linear equation.
4x+6y=−12
Plot two points on the line to graph the line.
Answer: (-3,0) and (0,-2)
Step-by-step explanation:
two numbers have a sum of 33. if one of the numbers is -37 , what is the other number?
Answer:
70
Step-by-step explanation:
Well -37 plus 70 would give you 33, so therefore 70 is the answer. You can also check your answer by subtracting -37 from 33 which would give you 70.
In this article, Attitudes About Marijuana and Political Views (Psychological Reports, 1973), researchers reported on the use of cannabis by liberals and conservatives during the 1970s.
To test the claim (at 1% significance) that the proportion of voters who smoked cannabis frequently was lower among conservatives, the hypotheses were:
H0:p1−p2=0(p1=p2)
Ha:p1−p2<0(p1
In the hypothesis test about cannabis use by conservatives and liberals, the test statistic was z = -4.27, with a corresponding p-value of about 0.00001.
Which conclusion is most appropriate in the context of this situation?
Answer:
The pvalue of the test is 0.00001 < 0.01, which means that we have sufficient evidence to conclude that the proportion of voters who smoked cannabis frequently was lower among conservatives than liberals.
Step-by-step explanation:
We test:
If the proportion of voters who smoked cannabis frequently was lower among conservatives than liberals.
Corresponding p-value of about 0.00001.
The pvalue of the test is 0.00001 < 0.01, which means that we have sufficient evidence to conclude that the proportion of voters who smoked cannabis frequently was lower among conservatives than liberals.
F(x)=2 sin (1/2x)+1
What is the midline of the functionless
Answer: 4
Step-by-step explanation:
Let me get to know you:)
In the formula C = (F - 32) * 5/9, the letter "F"
Answer:
Fahrenheit.
Step-by-step explanation:
In the given formula, the variables given stand for:
C = Celsius
F = Fahrenheit
~
In this case, you plug in the temperature in Fahrenheit into F, and then use the equation to obtain the temperature in Celsius.
~
Find x, y, mzC, and mA' given m/A = y;
m/A' = 2x + 5, mc-3x-y,
mZC' = 4
The value of x = 9, y = 4, m∠C = 25 and m∠A' = 23.
What is the triangle translation?
In mathematics, a triangle translation refers to the geometric transformation in which a triangle is moved to a new position without rotating or scaling it. The triangle is simply slid along a straight line in a certain direction, and the new position of the triangle will be parallel to the original one.
Given that ΔABC translates to ΔA'B'C', we can assume that the measures of the angles are the same in both triangles. Therefore, if we know the measure of an angle in one triangle, we can assume that the measure of the corresponding angle in the translated triangle is the same.
Given:
m∠A = y
m∠A' = 2x + 5
m∠C = 3x-y
m∠C' = 4
Since opposite angles in a rectangle are congruent, m∠A=m∠C' and m∠C = m∠A'
Therefore,
y = 4
3x-y = 2x + 5
Solving this equation gives us:
x = y + 5 = 4 + 5 = 9
y=4
m∠C = 3x - y = 3(9) - 4 = 25
m∠A' = 2x + 5 = 2(9) + 5 = 23
Hence, the value of x = 9, y = 4, m∠C = 25 and m∠A' = 23.
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ANSWER ASAP WILL GIVE BRAINLIEST! 30 POINTS!!
Write the algebraic expression that matches each graph:
Answer:
y=|x-1|-1
Step-by-step explanation:
hope that helps :)
Select the correct answer
The domain of the given graph is (-∞ < x < ∞)
What is the domain of a function?The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).
Given is a graph,
For f(x) = x, there is no restriction on x
Both the domain and range are the set of all real numbers.
Hence, The domain will be (-∞ < x < ∞)
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(Will give branliest if correct)
Mr. Potter is reviewing his 2018 property taxes Use the tax form to complete the statements below.
All I need is the total property tax I don't know how to solve for it.
So my question is how do I find total property tax with the total value of property and total percent rate it just the answer.
So if the total value is 300000
and the percent rate is 1.2 what is the total property tax.
(
Answer:
I think its 3,600... plz let me know if I'm wrong
Step-by-step explanation:
300,000 x 0.012 or %1.2 (they're the same thing) = 3,600
A woman has 31 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 5.20, how many dimes and how many quarters does she have?
Answer:
D+Q = 31
10D + 25Q = 595
10D + 10Q = 310
subtract to get
15Q = 285 Q = 285/15 = 19 quarters D = 31-19 = 12 dimes
PLEASE HELPPPPPP!!!!! WILL GIVE BRAINLIEST
Answer:
Since the leading coefficient is negative and the exponent is to a degree of 4...
The graph will be down on both ends.
Need help ASAP 10 points right now plz help
Answer:
Area is 195 in
Step-by-step explanation:
I did this assignment :D
Complete the table using the function c = 12m - 17.
Step-by-step explanation:
c = 12m - 17
m = 2
c = 12×2 - 17 = 24 - 17 = 7
m = 4
c = 12×4 - 17 = 48 - 17 = 31
m = 8
c = 12×8 - 17 = 96 - 17 = 79
what is the explicit formula for this sequence?
-8,-3,2,7
A)an=12+(n-1)5
B)an=-8+(n-1)5
C)an=5+(n-1)(-8)
D)an=-8+(n-1)(-5)
Answer:
3,2,7
A)an=12+(n-1)5
B)an=-8+(n-1)5
C)an=5+(n-1)(-8)
D)an=-8+(n-
6 divided 109 can you help?
Answer: 18.1666666667
Step-by-step explanation:
A group of workers can plant 49 acres in 7 days. What is there rate in acres per day?
Answer:
Step-by-step explanation:
343
Answer:
7
Step-by-step explanation:
What is 22 + 125 - 6
Answer:
141
Step-by-step explanation:
calculator
Answer:
141
Step-by-step explanation:
22+125=147
147-6=141
therefore
the answer is 141
A carpentry tool has replaceable hexagonal heads. The diagram below shows the replaceable head. *Picture not drawn to scale What is the area of the replaceable head? Round to the nearest hundredth, if necessary. A. 13.59 square inches B. 12 square inches C. 15 square inches D. 17.81 square inches
Answer:
Step-by-step explanation:c 15
Work out
a) 4 1/3x6
B) 2 3/5 x 3 1/3
Give Answers as mixed numbers
Answer:
Solution of the given expression is 26
Solution of the given expression is 8.67
Step-by-step explanation:
Given:
a] [tex]4\frac{1}{3} \times 6[/tex]
b] [tex]2\frac{3}{5} \times 3\frac{1}{3}[/tex]
Find the solution;
Computation:
a] [tex]4\frac{1}{3} \times 6[/tex]
Step 1 ;
Changed mixed fraction into simple fraction
⇒ 13/3 x 6
Step 2 ;
⇒ 13 x 2
26
Solution of the given expression is 26
b] [tex]2\frac{3}{5} \times 3\frac{1}{3}[/tex]
Step 1 ;
Changed mixed fraction into simple fraction
⇒ (13/5) x (10/3)
Step 2 ;
⇒ 130 / 15
8.67
Solution of the given expression is 8.67
A small business celebrates serving 5110 customers in their first year of business how many customers did they average each day
The no. of customers they serve per day is equal to 14.
It is given that the total number of customers served in first year of business was 5110.
We have to find that what will be the average of servings per day ?
What do you mean by average ?
The average is the ratio of sum of all numbers to the total no. of numbers.
As per the question ;
Total number of people served in a year = 5110
We know that ;
1 year = 365 days
So ;
To calculate the average of servings per day we need to divide total number of servings by no. of days in 1 year.
i.e.,
Average of customers per day ;
= 5110 ÷ 365
= 14 customers per day
Thus , the no. of customers they serve per day is equal to 14.
What is the ratio of 4 red pens to 7 black pens
Answer:
There could be 12 red pens and 21 black pens
Step-by-step explanation:
Use Special Triangle Shortcuts to find the values of x and y in the first figure. Explain how you determined the length of segments x and y using 2-3 sentences or explain your steps used to find the values.
Answer:
Solution given:
short cut to find x
Tan 30°=P/B
Tan30°=x/22√3
x=tan 30×22√3
x=22
and
for y
cos 30=B/H
cos30×y=22√3
y=22√3/cos30
y=44
There is a raffle for the class of 30
students. There are 3 prizes that are gift
cards for the value of $5, $10 and $25.
How many ways can there be 3 winners of
this raffle?
Answer:
Having 3 students pick a raffle
Step-by-step explanation: