Using the z-distribution, we have that:
a)
The hypothesis test is:
[tex]H_0: \mu = 7.4[/tex][tex]H_1: \mu < 7.4[/tex]The p-value is of 0.0668.
The critical value is [tex]z^{\ast} = -1.28[/tex]
b) Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.
Item a:
At the null hypothesis, it is tested if the mean is of 7.4 minutes, that is:
[tex]H_0: \mu = 7.4[/tex]
At the alternative hypothesis, it is tested if the mean is lower than 7.4 minutes, that is:
[tex]H_1: \mu < 7.4[/tex]
We have the standard deviation for the population, hence, the z-distribution is used.
The test statistic is given by:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean. [tex]\mu[/tex] is the value tested at the null hypothesis. [tex]\sigma[/tex] is the standard deviation of the sample. n is the sample size.For this problem, the values of the parameters are: [tex]\overline{x} = 7.1, \mu = 7.4, \sigma = 1.2, n = 36[/tex].
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{7.1 - 7.4}{\frac{1.2}{\sqrt{36}}}[/tex]
[tex]z = -1.5[/tex]
Using a z-distribution calculator, the p-value is of 0.0668.
Also using a calculator, considering a left-tailed test, as we are testing if the mean is less than a value, the critical value with a significance level of 0.1 is of [tex]z^{\ast} = -1.28[/tex].
Item b:
Since the test statistic is less than the critical value for the left-tailed test, there is enough evidence to conclude that the null hypothesis will be rejected.
You can learn more about the use of the z-distribution to test an hypothesis at https://brainly.com/question/16313918
Select all the expressions that equal:
-7 - (- 12)
below:
Answer:
c and e
Step-by-step explanation:
[tex]-7-(-12) = -7 +12 = 12 +(-7)[/tex]
What is the slope-intercept equation of the line below?
O A. y=-2x+1
B. y = 2x + 1
Oo
C. y = -2x-1
O D. y = 2x-1
Answer:
C
Step-by-step explanation:
It has a negative slope and it crosses the y axis at -1
Find the area of a triangular garden if the
sides are approximately 6 feet, 11 feet, and
12 feet (to the nearest square foot).
Answer:
As it is a triangle, so you start applying Pythagoras;
once with 11 as the hyp. and once where x is the hyp.
where x is the hyp.
feet
and if considering 11 as the hyp. feet
*If the equations are not shown, you simple wait till the page fully loads or refresh the page*
Hope this helps.
Step-by-step explanation:
find gain percent when cost price is rs 804 and selling price is rs 1004
Selling Price = 1004r
Cost Price = 804r
1004-804=200r
Gain% = 200/804 · 100 = 20000/804 = 23.80% or 29%
A store sells 4 printers for every computers. Last month the store sells 56 computers, how many printers did they sell?
Answer:
224 printers
Step-by-step explanation:
56computers×4printers per computer=224 printers
HELP MEEEE PLEASEEEE!!!!!
The graph of the step function g(x) = -x] + 3 is
shown.
What is the domain of g(x)?
5
O {xx is a real number}
O {x|x is an integer}
O {XI-2 s x <5)
O {xl-1 sxs5}
Answer:
{x| -2 ≤ x < 5}
Step-by-step explanation:
The domain is the x value in a graph, function e.t.c. From the farthest point to the left of the x-axis, we see -2. And from the farthest point to the right of the x-axis, we see 5. Therefore, the domain is {x| -2 ≤ x < 5}, Option C
Look here for visuals:
The domain of the step function g(x) is (c) {x I -2 <= x <5 }
The domain of a function is the set of input values the function can take.
From the graph, the x-values begin as -2 with a closed circle, and it ends at 5 with an open circle
The open circle means that -5 is not part of the domain, while the closed circle means that -2 is inclusive of the x-values
Hence, the domain of the step function g(x) is (c) {x I -2 <= x <5 }
Read more about domain at:
https://brainly.com/question/1770447
These are the coordinates of a
quadrilateral. Determine whether it is
also a trapezoid, parallelogram, or
neither.
J(5,5), K(8,6), L(9,9), M(6,8)
A. trapezoid
B. parallelogram
C. neither
Answer:
parallelogram is the answer
Answer:
Step-by-step explanation:
The quadrilateral is a parallelogram ( more precisely is the rhombus )
Thank you will give thanks + more + brainliest!!!!
Given the system of linear equations:
{x+6y=6 y= 1/3 x−2
Part A: Graph the system of linear equations.
Part B: Use the graph created in Part A to determine the solution to the system.
Part C: Algebraically verify the solution from a Part B
Answer:
You must graph this on a graphing site
Step-by-step explanation:
Use one from enternet and type in the equation!!
Find the value of x, y and z in the rhombus below
Answer:
... ................................
Which expression is equivalent lo the following complex fraction?
Answer:
[tex] \frac{ - 1}{2} [/tex]
Hope this helps you !!-4x -2 + 3x - 10 How many terms are there? SIMPLIFY. What is the coefficient of x?
Answer:
Number of coefficients of x: 2 coefficients (-4 and 3)
Number of terms: They're 4 terms. (-4x, -2, + 3x, and -10)
Simplified: - x - 12
Step-by-step explanation:
1) Subtract the numbers.
-4x - 12 + 3x
2) Combine like terms.
- x - 12
Find the ratio of the following is175and210
Answer:
5:6
Step-by-step explanation:
175/210
Divide both sides by 5
175/5 : 210/5
35 : 42
Divide both sides by 7
35/7 : 42/7
5 : 6
The ratio of 175 and 210 in its simplest form is; 5:6
What Is a ratio
A ratio is the simplest form to which the quotient of two numbers can be represented.
The ratio of 175 and 210 can be evaluated by considering their HCF, highest common factor.
Their HCF is 35;Hence, the ratio of 175 and 210 is ; 5:6
Read more on ratios;
https://brainly.com/question/13513438
Plz, Help me!
What is the equation of a circle with a radius of 5 and a center located at (7,9)?
a. (x - 9)^2 + (y - 7)^2 = 5
b. (x - 7)^2 + (y - 9)^2 = 5
c. (x - 7)^2 + (y - 9)^2 = 25
d. (x - 9)^2 + (y - 7)^2 = 25
Answer:
(x-7)^2 + (y-9)^2 = 25
Step-by-step explanation:
A rectangular garden has a walkway around it. The area of the garden is 4(2.5x + 1.5). The combined
area of the garden and the walkway is 5.5(4x + 4). Find the area of the walkway around the garden as
the sum of two terms.
Answer:
Area of Walkway = 12x+16
Step-by-step explanation:
Area of Garden = 4(2.5x + 1.5) [Garden Area]: (10x + 6)
Area of Garden and Walkway = 5.5(4x+4) [Total Area]: (22x + 22)
Area of Walkway = [Total Area] - [Garden Area]
Area of Walkway = [5.5(4x+4)] - [4(2.5x + 1.5)]
Area of Walkway = [22x+22)] - [10x + 6)]
Area of Walkway = 12x+16
Answer:
9x+11 Its hard to explain but if you need a explanation khan academy really helps.
HELP FAST!!!! A parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day. Let G be the dollar cost of parking for t hours. Is t a function of G? Explain your reasoning.
Answer:
27
Step-by-step explanation:
just do 5+10+12
What is the domain of the function y = In (-2+3/2)?
Answer:
Domain is undefined
does anyone have an answer to this question?
Answer:
8.9 cm to 1 dec. place.
Step-by-step explanation:
First, use Pythagoras to find the length of BD.
BD^2 = 6^2 + 7^2 = 85
BD = √85.
BM = √85 / 2.
Consider the triangle TBM, by Pythagoras:
TB^2 = BM^2 + MT^2
MT^2 = 10^2 - (√85 / 2 )^2
= 100 - 21.25
= 78.75.
MT = 8.874
4. Jeremy is starting a juice-bar business. The cost to start the business is $32,000 and the
monthly costs are $4,000. He has been earning $5,600 every month in revenue. In how many
months will Jeremy's business break-even and earn a profit?
Answer:
Step-by-step explanation: Ok so the important thing is to figure out how much he makes each month. if he earns 5,600 but the cost are 4,000 he makes 1,600 every month. To figure out how many months it will take we divide 32,000 by 1,600 to get 20. that is when he breaks even, 20 months. To make a profit it will be 21 months.
Jordan goes to a high school with 1900 students. He surveyed a random sample of 240 students about their favorite sport, and 150 said that football was their favorite sport. Jordan reported to the school newspaper that football is the favorite sport of 1188 students. What inference did Jordan make? PLSS HELP QUICK !!
Answer: answer b
Step-by-step explanation:
last one… someone help please.
Answer:
32 degrees
a triangle is = to 180 degrees
determine if the two triangles are congruent.If they are state how u know
Answer:
17) Congruent because two sides are congruent and so is the 90 degree vertical angle.
18) Congruent because they have a congruent leg and congruent angle, and they share a side which is congruent to itself. (SAS)
19) Congruent because all three sides are congruent (SSS)
20) congruent, all three sides are the same (SSS)
easy problem nice about of points
Answer:
1
Step-by-step explanation: i am not sure
helppp meeee and answer pleaseeeeeeee
Answer:
13.6 and .4
Step-by-step explanation:
3.4x4=13.6
leaving .4 left
Answer:
4 and 2 berries left over.
Step-by-step explanation:
14 divided by 3 = 4
4x3=12
14-12=2
The drama club is selling tickets to their play to raise money for the show's expenses:
Each student ticket sells for $5 and each adult ticket sells for $7.50
The auditorium can hold no more than 75 people.
The drama club must make a minimum of $450 from ticket sales to cover the show's costs.
If x represents the number of student tickets sold and y represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
see attached
Step-by-step explanation:
The two inequalities you want to plot are ...
x + y ≤ 75 . . . . . . . . the auditorium can hold no more than 75 people
5x +7.5y ≥ 450 . . . a minimum of $450 revenue is needed to cover costs
__
These are probably most easily plotted by graphing their intercepts. The boundary line for the first inequality will have x- and y-intercepts of 75. Shading will be below the line.
The boundary line for the second inequality will have an x-intercept of 450/5 = 90, and a y-intercept of 450/7.5 = 60. Shading will be above the line.
On of the points in the potential solution area is shown in the attached graph:
(x, y) = (25, 50) . . . . fills the theater, gives $500 revenue
really confused helppppppppp
Answer:
slope=100
$100 per deposit
Step-by-step explanation:
Factor 26r3s 52r5 â€"" 39r2s4. What is the resulting expression? 13(2r3s 4r5 â€"" 3r2s4) 13r2s(2r 4r3 â€"" 3s3) 13r2(2rs 4r3 â€"" 3s4) 13r2(26r3s 52r5 â€"" 39r2s4).
The resulting expression from the factorization of 26r³s + 52r^(5) - 39r²s⁴ is; 13r²(2rs + 4r³ - 3s⁴)
We want to factor the algebraic expression;
26r³s + 52r^(5) - 39r²s⁴
Now, we need to first find the highest common factor here and factorize out.
First of all for the letters;
The highest common factor of the letters is r²
Factors of 26 = 1, 2, 13, 26
Factors of 39 = 1, 3, 13, 39
Factors of 52 = 1, 2, 4, 13, 26, 52
The highest common factor for the 3 numbers is 13.
Thus,in total, the highest common factor for the algebraic expression is 13r².
Finally, we have;
13r²(2rs + 4r³ - 3s⁴)
Read more about factorization of algebraic expression at; https://brainly.com/question/11434122
help please ,,,,,,,,,
Equation of a straight line:
y = mx + b ------(i)
Step by Step Solution:
Step 1:
m = 0.125, b = - 3
y = (1/8)x + (-3)
y = 0.125x - 3
(Graph is attached)
Answer:
Step-By-Step explanation:
Formula for any straight line is
y = mx + c
where m = slope, c = constant
Given: y = -3, m = 1/8
Substitute into formula
(y - intercept occurs when x = 0)
-3 = 1/8(0) + c
-3 = 0 + c
c = -3
y = 1/8x - 3
CARD #2:
Bobby says the
dilation can be
represented by
(x, y).
A figure on a
coordinate plane is
dilated. Point A(3,9)
is dilated to A'l, 3).
Betty says the
dilation can be
represented by
(3x, 3y).
Answer:
When a dilation in the coordinate plane has the origin as the center of dilation, you can find points on the dilated image by multiplying the x- and y-coordinates of the original figure by the scale factor. For scale factor k, the algebraic representation of the dilation is (x, y) → (kx, ky). For enlargements, k > 1.
help me on these questions pls
Answer: Beau and Kai are the similar triangles. If you add 55 and 61 degrees you come up to 116. Since their are 180 degrees in a triangle, you know that the other angle needs to be 64 degrees. On Kai's the 55 and 64 degrees come up to 119 degrees leaving 61 degrees for the unknown angle. Each has an angle with 55 degrees, 64 degrees, and 61 degrees
Step-by-step explanation:
Write the equation of the line that passes through the given points.
(0,−5) and (9,−1)
Answer:
y=4/9x-5
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-(-5))/(9-0)
m=(-1+5)/9
m=4/9
y-y1=m(x-x1)
y-(-5)=4/9(x-0)
y+5=4/9(x)
y+5=4/9x
y=4/9x-5