Testing the hypothesis, it is found that the correct option is:
b. Not significantly greater than 55%.
At the null hypothesis, we test if the proportion is not significantly more than 55%, that is:
[tex]H_0: p \leq 0.55[/tex]
At the alternative hypothesis, we test if the proportion is significantly more than 55%, that is:
[tex]H_1: p < 0.55[/tex]
The test statistic is given by:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
In which:
[tex]\overline{p}[/tex] is the sample proportion. p is the proportion tested at the null hypothesis. n is the sample size.For this problem, the parameters are:
[tex]p = 0.55, n = 100, \overline{p} = \frac{60}{100} = 0.6[/tex]
Hence, the value of the test statistic is:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.6 - 0.55}{\sqrt{\frac{0.55(0.45)}{100}}}[/tex]
[tex]z = 1.01[/tex]
The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted by the p-value of z = 1.01.
Looking at the z-table, z = 1.01 has a p-value of 0.8438.
1 - 0.8438 = 0.1562.
The p-value of the test is 0.1562 > 0.05, which means that the proportion is not significantly greater than 55%, and option b is correct.
A similar problem is given at https://brainly.com/question/24330815
Anyone knows the meaning of these verse:-
اِنَّاۤ اَعْطَيْنٰكَ الْكَوْثَرَ فَصَلِّ لِرَبِّكَ وَا نْحَرْ اِنَّ شَا نِئَكَ هُوَ الْاَ بْتَرُ
(QS. Al-Kawthar 108: Verse1- 3)
The sum of three consecutive even integers is -78. What is the smallest integer? Show all working outs (5)
Answer:
The smallest integer is -27 and the integers are -27, -26, and -25
Step-by-step explanation:
We can represent this with:
x + x - 1 + x - 2 = -78
Simplify.
3x - 3 = -78
Add 3 to both sides.
3x = -75
Divide both sides by 3.
x = -25
So, the first integer is -25.
Subtract two to get the smallest integer.
-25 - 2 = - 27
I really need assistance with this question
Answer:
first
Step-by-step explanation:
Lumen
Managerial Accounting
Chapter 5: Cost Behavior and Cost-Volume-Profit Analysis
5.6 Break – Even Point for a single product
Finding the break-even point
A company breaks even for a given period when sales revenue and costs charged to that period are equal. Thus, the break-even point is that level of operations at which a company realizes no net income or loss.
A company may express a break-even point in dollars of sales revenue or number of units produced or sold. No matter how a company expresses its break-even point, it is still the point of zero income or loss. To illustrate the calculation of a break-even point watch the following video and then we will work with the previous company, Video Productions.
Before we can begin, we need two things from the previous page: Contribution Margin per unit and Contribution Margin RATIO. These formulas are:
Contribution Margin per unit = Sales Price – Variable Cost per Unit
Contribution Margin Ratio = Contribution margin (Sales – Variable Cost)
Sales
Break-even in units
Recall that Video Productions produces DVDs selling for $20 per unit. Fixed costs
If F(x)=4x-1 and G(x)=2x-4 what is (FoG) (x)?
The length of a side of an equilateral triangle is 10 cm. Find the height of the triangle
Answer:
h = 5√3
Step-by-step explanation:
h = (√3/2)a
h = 10
h = (√3/2)10
h = 5√3
Is 500 hrs a thing? Cause my question is: Every hour you get $10, how many hours till you get to $5,000? The answer should be 500 hrs, I don't know if that's an hour
Answer:
500 Hours
Step-by-step explanation:
Yes you are right, 500 hours is not an hour and I doubt anyone can work that much, there are only 168 hours in a single week.
If we're talking reality, it would take well over a few weeks.
If its just math then yeah you would get 500.
Either way, 500 is the right answer.
What is the length of ef in the right triangle below?
Answer: A
Step-by-step explanation:
Using pythagoras;
[tex]25 = \sqrt{7^{2}+ x^{2} }\\25^{2}=7^{2} +x^{2} \\625 = 49 +x^{2} \\576 = x^{2} \\x = 24[/tex]
Please give me a brainliest answer
Answer:
24Step-by-step explanation:
The Pythagoras theorem formula states that in a right triangle ABC, the square of the hypotenuse is equal to the sum of the square of the other two legs. If AB, BC, and AC are the sides of the triangle, then: BC2 = AB2 + AC2. While if a, b, and c are the sides of the triangle, then c2 = a2 + b2.
√(25²-7²) =
√(625-49)=
√576=
24
equation of the parabola in vertex form that passes through (4,-7) and has a vertex of (1,-6)
[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]
Step-by-step explanation:
The vertex form of the equation for a parabola is given by
[tex]y = a(x - h)^2 + k[/tex]
where (h, k) are the coordinates of the parabola's vertex. Since the vertex is at (1, -6), we can write the equation as
[tex]y = a(x - 1)^2 - 6[/tex]
Also, since the parabola passes through (4, -7), we can use this to find the value for a:
[tex]-7 = a(4 - 1)^2 - 6 \Rightarrow -7 = 9a - 6[/tex]
or
[tex]a = -\frac{1}{9}[/tex]
Therefore, the equation of the parabola is
[tex]y = -\frac{1}{9}(x - 1)^2 - 6[/tex]
Footlocker and Footaction are each having a sell on all of the latest name brand shoes. At Footlocker, you can get 2 pairs of Nikes for $69.98. At Footaction you can get 3 pair of shoes for $99.99
Answer:
I'm not sure what this is asking but footaction is cheaper
Step-by-step explanation:
footlocker the shoes (single pair) is 69.98/2 or 34.99
footaction is 99.99/3 or 33.33
a) What is the equation of the function
b) Compare the graph to f(x)=2(x+1)^2
If a motorist asks for ten dollars
worth of gasoline and gasoline
is selling at $1.29 per gallon,
find the number of gallons she
will receive, to the nearest tenth
of a gallon.
A stadium has 10,500 seats and 8 VIP boxes. The stadium is divided into 12 equal
sections: 2 premium sections and 10 standard sections. A seat at the premium section
costs $48 per game. A seat at the standard section costs $27 per game.
1. How many seats are there in each section?
2.
If there are 35 seats in each row, how many rows are in each section?
3.
If all the seats in the premium section are sold out for a game, how much will the
stadium get from those ticket sales?
Answer:
omg so many Q's
Step-by-step explanation:
Two more than the quotient of a number and 4 equals 7.
Answer:
20
Step-by-step explanation:
we can set up the equation like this:
n/4 + 2 = 7
subtract 2 from both sides
n/4 = 5
multiply 4 to both sides and you get...
n = 20
Blaine subtracted 340,139 from 601,800 Is Blaine's answer correct? If not, explain why and write the correct answers.
Answer:
fsuu vvv
Step-by-step explanation:
gdcytzvnvdezcghiyyk for giving biscuits vicbeddings vicbeddings vicbeddings
Mary found a pair of boots that cost $60 sales tax is 7% what is the total price Mary will pay for the boots?
Answer:
2 Hola cómo estás mi amigo
Answer:
sale price SP= cost + sales tax
SP= 60 + 7% of 60
SP= 60+4.2
SP= $64.2
Which best describes the value of 8 in 3.458?
Since 8 is in the thousandths place, the value of the digit is 0.008.
Since 8 is in the hundredths place, the value of the digit is 0.08.
O Since 8 is in the thousandths place, the value of the digit is 0.08.
Since 8 is in the hundredths place, the value of the digit is 0.008.
Answer:
Since 8 is in the thousandths place, the value of the digit is 0.008.
um I hope that's correct.
Find the inverse function.
f(x) = x + 1
f-1(x) = (x + [? ])[ ]
Answer:
the inverse function is f^-1(x) = (x-1)^3
what is the product of 1/2 and 3/5 ?
Answer:
3/10
I think??
Answer:
The answer is 0.3
don't really have a step-by-step explanation just either look it up or do it on a calculator
Write True or False for each statement.
(a) A square is a special rectangle.
true or false?
(b) The diagonals of a rhombus are equal in length.
true or false?
(c) A kite has both pairs of opposite angles equal.
true or false?
Answer:
A) true
B) true
C) true
hope that helps :)
"The sum of a number and 7 divided by -3, is 2."
Can someone please help me with this problem
Answer:
A is the right one
Step-by-step explanation:
if not I'm sorry I'm here to help
Need help with math problem
Answer:
1/7
Step-by-step explanation:
Sana nakatutulong
#Carry on learning
Answer:
I Don't know if this is correct!
Step-by-step explanation:
1/7 of boys are not bringing their lunch as you can see.
I think it is 2/7
Evaluate 2x2y3 when x=2\3 and y=1\2
Answer:
The answer is 4
Step-by-step explanation:
2(2/3)2(1/2)3
5) How many gal. of a 65% saline solution
must be mixed with 8 gal. of pure water to
make a 25% solution?
2=8−6/4x help please yall whats the x
Answer:
x= 4
Step-by-step explanation:
How to solve your problem
Topics: Algebra
2=8−1⋅64⋅
2=8-1 \cdot \frac{6}{4} \cdot x
2=8−1⋅46⋅x
Solve
Divide the numbers
2=8−1⋅64⋅
2=8-1 \cdot {\color{#c92786}{\frac{6}{4}}} \cdot x
2=8−1⋅46⋅x
2=8−1⋅32
2=8-1 \cdot {\color{#c92786}{\frac{3}{2}}}x
2=8−1⋅23x
Multiply the numbers
2=8−1⋅32
2=8{\color{#c92786}{-1}} \cdot {\color{#c92786}{\frac{3}{2}}}x
2=8−1⋅23x
2=8−32
2=8{\color{#c92786}{-\frac{3}{2}}}x
2=8−23x
Combine multiplied terms into a single fraction
2=8−32
2=8-\frac{3}{2}x
2=8−23x
2=8+−3 2
2=8+\frac{-3x}{2}
2=8+2−3x
Find common denominator
2=8+−3 2
2=8+\frac{-3x}{2}
2=8+2−3x 2 =2⋅82+−3 2
2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}
2=22⋅8+2−3x
Combine fractions with common denominator
2=2⋅82+−3 2
2=\frac{2 \cdot 8}{2}+\frac{-3x}{2}
2=22⋅8+2−3x
2=2⋅8−3 2
2=\frac{2 \cdot 8-3x}{2}
2=22⋅8−3x
Multiply the numbers
2=2⋅8-3 2
2=\frac{{\color{#c92786}{2}} \cdot {\color{#c92786}{8}}-3x}{2}
2=22⋅8−3x 2=16−3 2
2=\frac{{\color{#c92786}{16}}-3x}{2}
2=216−3x
Rearrange terms
2=16−3 2
2=\frac{{\color{#c92786}{16-3x}}}{2}
2=2 16−3x 2=−3+16 2
2=\frac{{\color{#c92786}{-3x+16}}}{2}
2=2−3x+16
Multiply all terms by the same value to eliminate fraction denominators
2=−3+16 2 2=\frac{-3x+16}{2}
2=2−3x+16
2⋅2=2(−3+16 2)
2 \cdot 2=2(\frac{-3x+16}{2})
2⋅2=2(2−3x+16)
Cancel multiplied terms that are in the denominator
2⋅2=2(−3+16 2)
2 \cdot 2=2(\frac{-3x+16}{2})
2⋅2=2(2−3x+16)
2⋅2=−3+16
2 \cdot 2=-3x+16
2⋅2=−3x+16
Multiply the numbers
2⋅2=−3+16
{\color{#c92786}{2}} \cdot {\color{#c92786}{2}}=-3x+16
2⋅2=−3x+16
4=−3+16
{\color{#c92786}{4}}=-3x+16
4=−3x+16
Subtract
16
from both sides of the equation
4=−3x+16
4−16=−3+16−16
4{\color{#c92786}{-16}}=-3x+16{\color{#c92786}{-16}}
4−16=−3x+16−16
Simplify
Subtract the numbers
−12=−3
Divide both sides of the equation by the same term
−12=−3
\frac{-12}{{\color{#c92786}{-3}}}=\frac{-3x}{{\color{#c92786}{-3}}}
−3−12=−3−3x
Simplify
Divide the numbers
Cancel terms that are in both the numerator and denominator
Move the variable to the left
= 4
Which of the following fractions is equivalent to 4/20? 1/10
3/15
3/19
2/12
Answer:
your answer is 3/15
Step-by-step explanation:
if im wrong pls let me know
/////////////////////////////////////////////////
Answer:
341Step-by-step explanation:
We observe the pattern:
1, 5, 13, 25, ..It can be put as:
0 + 1, 1 + 4, 4 + 9, 9 + 16, ..or
0² + 1², 1² + 2², 2² + 3², 3² + 4², ..The nth term is going to be:
(n - 1)² + n²The sum of the 31 terms will be:
N = 0² + 1² + 1² + 2² + 2² + 3² + 3² + ... + 30² + 30² + 31²or
N = 2(1² + 2² + 3² + ... + 30²) + 31²Use the formula for sum of the first n squares:
1² + 2² + 3² + ... + n² = n(n + 1)(2n + 1)/6The sum N equals:
N = 2(30*31*61)/6 + 31² = 10*31*61 + 31²And the value of N/31 is:
10*31 + 31 = 341Which equation matches the graph?
Answer:
Option C): f(x) = 3x - 4.
Step-by-step Explanation:
What is a Linear Function in Slope-intercept Form?A linear function in slope-intercept form is given by f(x) = mx + b where:
"m" represents the slope, which is the measure of steepness and orientation of a nonvertical line. "b" represents the y-coordinate of the y-intercept, (0, b). The y-intercept is the point on the graph where the line intersects the y-axis. It is also the point where the x-coordinate equals to zero.How to solve for the slope?We can solve for the slope by using the following formula:
[tex]\displaystyle\mathsf{Slope\:(m)\:=\:\frac{Rise}{Run}\:=\Bigg(\frac{y_2-y_1}{x_2 - x_1}\Bigg)}[/tex]
Choose two points from the graph and substitute their values into the slope formula.
(x₁, y₁) = (2, 2)(x₂, y₂) = (0,-4)[tex]\displaystyle\mathsf{Slope\:(m)\:=\Bigg(\frac{y_2-y_1}{x_2 - x_1}\Bigg)\:=\:\Bigg(\frac{2-(-4)}{2-0}\Bigg)\:=\:\Bigg(\frac{2+4}{2}\Bigg)\:=\:\frac{6}{2}\:\:=\:3}[/tex]
Therefore, the slope of the line is 3.
How to find the y-intercept (b)?As defined in the previous section of this post, the y-intercept (0, b) is the point on the graph where it crosses the y-axis. We can see that the line intersects the y-axis at point (0, -4). This means that the value of our y-intercept, b, is -4.
Finding the y-intercept algebraically.Alternatively, we can solve for the y-intercept (b) by choosing a point on the graph and substitute its values into the slope-intercept form.
We will use and substitute the values of (x₁, y₁) and the slope into the function to solve for b.
(x₁, y₁) = (2, 2)Slope (m ) = 3f(x) = mx + b
⇒ 2 = 3(2) + b
⇒ 2 = 6 + b
⇒ 2 - 6 = 6 - 6 + b
⇒ -4 = 0 + b
⇒ - 4 = b
Hence, the value of the y-intercept is: b = 4.
Final Answer:Based from our calculations, we can infer that the linear function that matches the graph is Option C: f(x) = 3x - 4.
__________________________Keywords:Linear functions
Linear equations
Slope-intercept form
_______________________________
Learn more about Linear Functions here: https://brainly.com/question/26351470
Learn more about Point-slope form here: https://brainly.com/question/26681302
Answer:
f(x)=3x-4
Step-by-step explanation:
No one answered the palm tree question so I will put this question up for 15 points. Please answer now it’s due!
Answer:
15 feet
Step-by-step explanation:
Answer:
15 feet is the answer ok
What’s the answer to this H(-3)=3/4(8x+2)-4.5
