Solution :
The null and alternative hypothesis is given by
[tex]$H_0: \mu = 11$[/tex]
[tex]$H_a: \mu \ne 11$[/tex]
Assume that the level of significance, α = 0.05
The t-test statistics is, t = 1.484
Degree of freedom :
df = n - 1
= 14 - 1
= 13
The P-value is given by
P-value = 2P (T>|t|)
= 2P(T>|1.484|)
= 2P(T>1.484)
= 2(=T.DIST.RT(1.484,13))
= 0.05
HELP PLZ!! WILL MAKR BRAINLIEST
Answer:
See below
Step-by-step explanation:
The y-intercept is -5.5 as per graph
Taking two random points from the graph to find the slope:
(-1, -6) and (1, -5)Use slope formula: m = (y2 - y1)/(x2 - x1)
m = (-5 - (-6))/(1 - (-1)) = 0.5The line in slope-intercept form is (y = mx + b)
y = 0.5x - 5.5or
y = 1/2x - 11/2Answer:
i don’t think I understand.
Step-by-step explanation:
Help will give crown
G and H are 5 units apart.
G is at (-3, -4), and H is at (2, -4)
-3 and 2 are 5 units apart, -3+5=2. 2-5=-3
What’s the answer I need help?
its either A or B
Step-by-step explanation:
its not C or D because it has to be an acute angle
Wykonaj mnożenie i zredukuj wyrazy podobne (x+5)(x+4)(x+3).
Answer:
.........................
Write an inequality for the graph below.
Answer:
There are 2 lines, so this is a system of inequalities.
Find the equation of both lines:
The longer line using points (0,6) and (3,3)
Equation is y = -X+6, the inequality becomes y ≥-x+6
The equation for the shorter line:
Using points (5,1) and (6,2)
Equation is y=x-4, the inequality becomes y≤x-4
The system of inequalities is:
y ≥-x+6
y≤x-4
Step-by-step explanation:
You are give 3 sticks .Make 4 out of them without breaking...how will do this?
Answer:
take the sticks and make the number 4 out of them
Step-by-step explanation:
Use the GCF and the distributive property to find the expression that is
equivalent to 32 + 56.
A. 4(8 + 14)
B. 8(4+8)
C. 8(4 + 7)
D. 2(16 + 28)
Answer: a
Step-by-step explanation:
When you multiply 4 and 8 together you get 32. When you multiply 4 and 14 ypu get 56
Which one is correct? Please hurry :)
Answer:
A
Step-by-step explanation:
Mauricio can string 8 guitars in 2 hours how many can he string in 15 ?
Answer:
He strings 52 guitars in 15 hours
Pls help! It has to be due by 5pm.
Answer:
11 and 3/4 in further.
Answer:
I think he has to jump 11 3/4 inches further
Step-by-step explanation:
pls mark me as brainliest!
Can someone please help me . WILL MARK BRAINLIEST !!!
Answer:
The range is { -10,0,4}
Step-by-step explanation:
The domain is the input and the range is the output
f(-3) = 2(-3) -4 = -6-4 = -10
f(0) = 2(0) -4 = 0-4 = 0
f(4) = 2(4) -4 = 8-4 = 4
The outputs are { -10,0,4}
The range is { -10,0,4}
Answer:H
Step-by-step explanation:
You just take the domain, add 1 to the first number and the rest stay the same.
HELPP ASAP PLEASE, WILL GIVE BRAINLIEST !!!!!
Sarah would like to hire a clown for her daughter’s birthday party. Clown A is offering his services for an initial fee of $100 in addition to $11 per hour. Clown B is offering her services for an initial $150 fee in addition to $8 per hour. When will the two clowns charge the same amount of money? Use a table to estimate the solution.
What are the functions?
Answer:
$88.00.
Step-by-step explanation:
here is how I got my answer,
first you multiply 11, 8 times then you will get a total of $88.00.
second you do the same thing, but you go like this, you multiply 8, 11 times and you will get a total of $88.00.
therefore your answer is $88.00.
some one please help, lots of points granted !!!!!
Write 12 1/ 3 as an improper fraction.
Answer:
37/3
Step-by-step explanation:
we start with 12 1/3 multiply the whole number-12 with the denominator-3 that make 36 add the numerator-1 this makes 37, this is your new numerator
One of the zookeepers solved to find Bernard's speed
when he is, healthy using the equation:
x - 41.5 = 13.5.
The other Zookeeper said that to solve for Bernard's
speed when he is healthy, they must use the equation:
41.5 + 13.5 = x.
Which zookeeper is correct? Explain.
Answer:
Well both zookeepers are correct but the second zookeepers answer was more accurate.
Step-by-step explanation:
The first zookeeper gave the equation :
[tex]x - 41.5 = 13.5[/tex]
So , In order to find Benards speed which is denoted as x , we would still have to collect like terms to isolate x.
The second zookeeper gave the equation :
[tex]41.5 + 13.5 = x[/tex]
In this equation the zookeeper had already isolated x so, only simple addition was needed to find Bernard's speed.
This equation is easier to solve.
What is the equation of the line that passes through the point (4.11) and is perpendicular to the line with the following equation? OA. y = -x + 14 O B. - r - 15 OD. & 1 + 8
Answer:
[tex]y = x +7[/tex]
Step-by-step explanation:
Given
[tex]Point\ (x_1,y_1) = (4,11)[/tex]
Perpendicular to [tex]y = -x + 14[/tex]
Required
Determine the line equation
An equation has the form
[tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison with [tex]y = -x + 14[/tex]
[tex]m = -1[/tex]
Because the line is perpendicular to [tex]y = -x + 14[/tex], the following relationship exists
[tex]m_1 = \frac{-1}{m}[/tex] i.e. the condition for perpendicularity
Where m1 is the slope of the equation that passes through [tex]Point\ (x_1,y_1) = (4,11)[/tex]
So, we have:
[tex]m_1 = \frac{-1}{-1}[/tex]
[tex]m_1 = 1[/tex]
The line equation is then calculated using:
[tex]y - y_1 = m_1(x - x_1)[/tex]
Where
[tex]m_1 = 1[/tex]
[tex]Point\ (x_1,y_1) = (4,11)[/tex]
So, we have:
[tex]y - 11 = 1(x - 4)[/tex]
[tex]y - 11 = x - 4[/tex]
Add 11 to both sides
[tex]y - 11+11 = x - 4+11[/tex]
[tex]y = x - 4+11[/tex]
[tex]y = x +7[/tex]
The B, C and D parts of your question are not clear.
Apply the same steps used in (a) above and you'll get your answers
12х - 5 >3х^2 +5
I am confused how to solve this.
Answer (3 different forms):
1st Form:
[tex]2+-\frac{1}{3} \sqrt{6} <x<2+\frac{1}{3} \sqrt{6}[/tex]
2nd Form:
[tex]-\sqrt\frac{2}{3}+2<x<\sqrt\frac{2}{3}+2[/tex]
3rd Form:
[tex]\frac{6-\sqrt{6}}{3}<x< \frac{6+\sqrt{6}}{3}[/tex]
Or
[tex](\frac{6-\sqrt{6}}{3}),(\frac{6+\sqrt{6}}{3})[/tex]
Step-by-step explanation:
You can see that I put three different forms of answers, but they are all still equivalent answers. The reason why I got three different answers is because I put the inequality in three different calculators and they all got me different answers, but all three are still equivalent. The following three attachments are images of the three calculators that I used to solve.
Hope this helps and answers your question! :)
Write the equation of the line that passes through the points (7,-8) and (2, -8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
it has zero slope because it is a horizontil line
Step-by-step explanation:
The graph below shows a system of equations:
5
y = -x + 5
.
4
3
2
K
+
+0
-1
2
6
y = x - 1
-2
-3
+
-57
The x-coordinate of the solution to the system of equations is
(5 points)
Answer:
x=2
Step-by-step explanation:
y=-x+5
-1(y)=(x+1)-1 = -y=-x-1
y=-x+5
+ -y=-x-1
0=-2x-4
0=-2x-4
+4 +4
4=2x
1/2(4)=(2x)1/2
2=x
The x-coordinate of the solution to the system of equations is 3.
What is a system of equations?A system of equations is a set or collection of two or more equations with the same variables. The common solutions are the intersecting points of the equations. The number of equations and unknowns affects the existence and uniqueness of the solution. A system of equations can be classified similarly to single equations.
Given that, the graph given shows a system of equations,
We know that, the solution of the system of equations, is given by the point where the lines intersect,
So, here the lines intersect, at (3, 2)
Therefore, the x-coordinate is 3
Hence, the x-coordinate of the solution to the system of equations is 3.
Learn more about system of equations click;
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A book publisher counted the words on each page of a series of books. They found that the number of words per page followed a normal distribution with a mean of 265 words and a standard deviation of 25 words.
What percentage of the pages contain fewer than 215 words?
Answer:
The answer is 2.5%
Step-by-step explanation:
Took test on edmentum and made 100%.
2.2% percentage of the pages contain fewer than 215 words.
The normal distribution is defined as a probability distribution that is symmetric about the mean, indicating that data close to the mean are more systematic in occurrence than data distant from the mean. In pictorial form.
The number of words per page in the book is normally distributed, Normal distribution is given as,
[tex]z = \frac{x-\mu}{\sigma}[/tex]
Where, x = number of words per page., µ = mean, σ = standard deviation
From given, µ = 265 words , σ = 25 words
Probability for the number of pages in the book is less than 265 words,
P( x < 215)
For, x = 25,
z = (215-265)/25 = -2
From the normal distribution table, the probability of the z score is 0.022
The percent of pages in the book that are less than 215 words in length is 0.022 × 100 = 2.2%.
Thus, 2.2% percentage of the pages contain fewer than 215 words.
Learn more about Normal distribution here:
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Simplify each expression.
2y+ (4 + 5y). 2d(3). Simplify those two please please answer i will give brainliest!
Answer:
7y + 4
Step-by-step explanation:
2y + 5y+4
add 2y and 5y
7y+ 4
Answer:
7y +4
Step-by-step explanation:
Open up the brackets ans collect your like terms and simplify the expression.
a man is twice as old as his son.Five years ago the ratio of their ages was 9:4.Find the sum of their ages
Let's assume the sons age as x.
Age of the man is 2x
Five years ago,
The man's age=9x
The sons age=4x
Then find the equation.
hope it was helpful.
I am not solving all cuz that u understand how to frame a equation.
Find the distance between the points A(2,-1) and B(-4, 2). (simplify your answer)
Answer:
[tex]d = 3\sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: [tex]d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point A (2, -1)
Point B (-4, 2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d.
Substitute [DF]: [tex]d = \sqrt{(-4-2)^2+(2+1)^2}[/tex]Subtract/Add: [tex]d = \sqrt{(-6)^2+(3)^2}[/tex]Exponents: [tex]d = \sqrt{36+9}[/tex]Add: [tex]d = \sqrt{45}[/tex]Simplify: [tex]d = 3\sqrt{5}[/tex]Write 6.25 in expanded notation.
Answer:
6.00+0.20+0.05
Step-by-step explanation:
Answer:
6.25 in expanded notation should be written as: (6 x 1) + (2/10) + (5/100).
Step-by-step explanation:
Hope I can really help:).
(8x+9)(7x^2+3x+3)
Multiply
Answer:
56x³+87x²+51x+27
Step-by-step explanation:
You have to do box method. Draw a box that 3 by 2 cubes long. On the side that is 3 cubes long. Write 7x² on top of the first cube, 3x on top of the second cube, and 3 on top of the third cube. On the side that is two cubes long, write 8x next to the first cube and 9 next to the second cube.
A town has a population of 3000 and grows at 4% every year. To the nearest tenth of a year, how long will it be until the population will reach 4700?
Answer:
14.2 years
Step-by-step explanation:
The town grows 4% (0.04) every year.
3000 x 0.04 = 120, so the town gains 120 people every year.
The town needs 1700 more people to get to 4700.
So, 4700/120= 14.1666666667
That rounds up to 14.2 years.
Hope this helped :)
Can u guys plz give me ALL the following answers to graph 1.
!!!!!! ’ ... like Ik there is smart ppl around the world who knows these
Answer:
into a pyramid i think...
Solve each equation mentally for x.
x • 7/3 = 1
Your answer must be in the form of a fraction.
Solve there Systems of equations. 2x + y = 15
3x - y = 5
Answer:
your answer would be (4, 7)
Step-by-step explanation: