Answer:
We fail to reject H₀.
At the 5% significance level, the data do not provide sufficient evidence to conclude that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
Step-by-step explanation:
The hypothesis for the statistical test is defined as follows:
H₀ : μ =25 vs. Hₐ : μ > 25
The test statistic value is, z₀ = 0.22.
The p-value of the test is, p-value = 0.41.
The significance level is, α = 0.05.
The p-value is well defined as per the probability, [under the null hypothesis (H₀)], of attaining a result equivalent to or more extreme than what was truly observed.
A small p-value (typically ≤ 0.05) specifies strong evidence against the null hypothesis (H₀), so you discard H₀.
A large p-value (> 0.05) specifies fragile proof against the H₀, so you fail to discard H₀.
Here, p-value = 0.41 > α = 0.05.
The null hypothesis was failed to be rejected at 5% level of significance.
Conclusion:
There is not enough evidence to support the claim that the average distance a reader lives from the newspaper's headquarters is greater than 25 miles.
Find the missing length indicated.
Answer:
x=65
Step-by-step explanation:
h²=25*(169-25)=25*144=3600
x²=h²+25²=3600+625=4225
x=√4225
x=65
Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin.
A table titled Pumpkin Patch Sales with two columns and six rows. The first column, Weight in pounds, has the entries, 4, 8, 12, 16, 20. The second column, Price in dollars, has the entries, 6, 12, 18, 24, 30.
Which statement describes the slope of a graph of the data?
For each additional pound, the price increases $0.50.
For each additional pound, the price increases $1.50.
For every additional dollar, the pumpkin can increase by 1.5 pounds.
For every additional dollar, the pumpkin can increase by 0.5 pounds.
Answer:
For each additional pound, the price increases $1.50.
Step-by-step explanation:
Lets find the slope of the graph of othe given data.
Let x be the weight of pumpkin in pounds
Let y be the price of the pumpkin in dollars.
For 4 pound pumpkin the price is 6 dollars, so first point is (4,6)
For 8 pound pumpkin the price is 12 dollars, so first point is (8,12)
Find the slope between these points
m = y₂ - y₁ / x₂ - x₁
m = 12 - 6 / 8 -4
m = 6/4
m = 1.5
Which means that for every pound increase in weight, the price of pumpkin increases by 1.5 dollars
Answer:
B
Step-by-step explanation:
I need help I don't understand I was on a streak and now this stupid problem is just unsolvable I just want to finish this stupid work and play gtao
Answer:
the ratio is 1:3
Step-by-step explanation:
Visitors to a museum each hour during operating hours: 35. 42, 65, 59,84.62.46.
52,24
Lowest value:
Highest value:
Spread:
Center value:
Answer:
Lowest value: 24
Highest value: 84
Spread: 60
Center value: mean = 52.11
median = 53
Step-by-step explanation:
Given data
35. 42, 65, 59,84.62.46. 52,24
let arrange is from smallest to largest
24, 35, 42, 46, 52, 59, 62, 65,84
Thus,
Lowest value = 24
Highest values = 84
Spread is the range of data
range is difference of highest and lowest value
spread = 84-24 = 60
Center value is mean and/or mean of data
mean = sum of data/ no. of data
no. of data = 9
mean = 24+ 35+ 42+ 46+ 52+ 59+ 62+ 65+84/9 = 469/9 = 52.11
median is the middle term when data is arranged in ascending order.
median is (n+1)/2 th term when no. of data is odd
median is (9+1)/2th term = 5th term
5 th term is 52
thus, median is 52.
Thus, solution is
Lowest value: 24
Highest value: 84
Spread: 60
Center value: mean = 52.11
median = 53
Need help finding the missing length to the attached triangle.
Answer:
1500
Step-by-step explanation:
Let the length of the perpendicular dropped from the right angle to the hypotenuse be h units.
Now by geometric mean property:
[tex]h = \sqrt{1600 \times 900} \\ h = 40 \times 30 \\ h = 1200 \: units \\ Next \: by \: Pythagoras \: Theorem: \\ {x}^{2} = {h}^{2} + {900}^{2} \\ {x}^{2} = {1200}^{2} + {900}^{2} \\ {x}^{2} = 1440000 + 810000 \\ {x}^{2} = 2,250,000 \\ x = \sqrt{2,250,000} \\ \huge \red{ \boxed{x = 1500\: units }}[/tex]
Answer:
1500
Step-by-step explanation:
Use the right triangle altitude theorem.
x/900 = 2500/x
x^2 = 900 * 2500
x = sqrt(900 * 2500)
x = 30 * 50
x = 1500
Use two unit multipliers to convert 50 square centimeters to square meters.
Answer:
0.005 square meters
Step-by-step explanation:
To convert a square centimeter to a square meter, divide the value by 10,000.
[tex]50/10000=0.005[/tex]
50 square centimeters is 0.005 square meters.
How many terms are in the following expression 55+ 14n -2m +3p
Answer:
4 terms
Step-by-step explanation:
There are 4 terms in the given expression:
=> 55
=> 14n
=> -2m
=> 3p
p/3=5 please i need help on this one as well
Answer:
if p/5=3 then the answer is p=15
Step-by-step explanation:
the first step is to isolate the variable and this is done by multiplying both sides by 5
the result of this is p= 5 times 3 which equals 15
i need help guys, can someone pls help? i already answered it but i know its wrong so avoid the answers that were written.
Answer:
A: d= every time she walks the dog
b= every time she babysits
B: 8d+12b
Brainlyest pls
Answer:
A: d= every time she walks the dog b= every time she babysits
B: 12b+8d
Step-by-step explanation:
I just did it.
1. Write the standard form of the line that passes through the given points. (7, -3) and (4, -8)
2. Write the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2 x + y = -5.
3. Write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x + y = -5
Answer:
1. [tex]-5x+3y+44=0[/tex]
2. [tex]2x+y-2=0[/tex]
3. [tex]2x+y-4=0[/tex]
Step-by-step explanation:
Standard form of a line is [tex]Ax+By+C=0[/tex].
If a line passing through two points then the equation of line is
[tex]y-y_1=m(x-x_1)[/tex]
where, m is slope, i.e.,[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex].
1.
The line passes through the points (7,-3) and (4,-8). So, the equation of line is
[tex]y-(-3)=\dfrac{-8-(-3)}{4-7}(x-7)[/tex]
[tex]y+3=\dfrac{-5}{-3}(x-7)[/tex]
[tex]y+3=\dfrac{5}{3}(x-7)[/tex]
[tex]3(y+3)=5(x-7)[/tex]
[tex]3y+9=5x-35[/tex]
[tex]-5x+3y+9+35=0[/tex]
[tex]-5x+3y+44=0[/tex]
Therefore, the required equation is [tex]-5x+3y+44=0[/tex].
2.
We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to [tex]2 x + y =-5[/tex].
Slope of the line : [tex]m=\dfrac{-\text{Coefficient of x}}{\text{Coefficient of y}}=\dfrac{-2}{1}=-2[/tex]
Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).
Equation of line is
[tex]y-2=-2(x-0)[/tex]
[tex]y-2=-2x[/tex]
[tex]2x+y-2=0[/tex]
Therefore, the required equation is [tex]2x+y-2=0[/tex].
3.
We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to [tex]2x + y =-5[/tex].
From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).
Equation of line is
[tex]y-0=-2(x-2)[/tex]
[tex]y=-2x+4[/tex]
[tex]2x+y-4=0[/tex]
Therefore, the required equation is [tex]2x+y-4=0[/tex].
A department store wants to know what motivated customers to visit their store on that particular day. Since 80
percent of the customers are male, researchers have decided to collect a __ by ensuring that 8 out of every 10
survey participants are male.
Answer:
sample.
Step-by-step explanation:
It is given that a department store wants to know what motivated customers to visit their store on that particular day.
We need to fill the blank.
Since 80 percent of the customers are male, researchers have decided to collect a ____ by ensuring that 8 out of every 10 survey participants are male.
For survey, researchers need small part of whole data, i.e., sample.
So, the required answer is "sample".
Since 80 percent of the customers are male, researchers have decided to collect a sample by ensuring that 8 out of every 10 survey participants are male.
Since 80 percent of the customers are male, researchers have decided to collect an erroneous sample by ensuring that 8 out of every 10 survey participants are male. This is a sampling error.
What is a Sampling Error?A sampling error can arise when the said sample is not representative of the entire population as is in the case of the example above.
To eliminate the statistical error, the sample must be collected in such a way that the probability of every member of the population being included in the sample is equal to 1.
Learn more about sampling errors at:
https://brainly.com/question/5137866
A triangle has sides with lengths 5, 6, and 7. Is the triangle right, acute, or obtuse? Question 2 options: A) Obtuse B) Right C) Can't be determined D) Acute
Answer:
D: Acute triangle
Step-by-step explanation:
First check whether this could be a right triangle. Using the Pythagorean Theorem, we get:
5^2 + 6^2 = ? = 7^2 This equation is not true, and therefore the triangle is not a right triangle.
The side lengths 5, 6 and 7 are very close to one another, and so the triangle must have essentially similar interior angles, which means that all three angles are acute. Answer D is correct: This is an acute triangle.
Answer: D) Acute
Step-by-step explanation:
which point is a solution to the solution≤8x-3
Answer:
-24
Step-by-step explanation:
8×-3=-24
hope you understood
in which number does the digit 5 have a value that is 10 times as great as the digit 5 in the number 4.59?
Answer:
2775.9
Step-by-step explanation:
options are
A) 578
B) 2775.9
C) 134.591
D) 31.757
Value of digit 5 in 4.59 is 0.5 as is is at tenth place after decimal
0.5 = 5/10
ten times of this value = 5/10*10 = 5
Thus, 5 is the value, and hence the number which we require should be at unit place of the required number.
In the given question
A) 578
here 5 is at hundredth place
other way to represent is is 500+70+8
B) 2775.9
here 5 is unit place and is correct option
it can be represented as
2000+ 700+ 70+ 7 + 9/10
c)C) 134.591
here 5 is tenth place after decimal
it can be represented as
100+ 30+ 5 + 5/10+9/100 + 1/1000
d)31.757
here 5 is hundredth place after decimal
it can be represented as
30+ 1 + 7/10+5/100 + 7/1000\
Hence, 2775.9 is correct choice.
Trying to find the missing segment to the triangle in the attached image.
Answer:
44 units length
Step-by-step explanation:
The side splitter theorem states that if a line is parallel to a side of a triangle and the line intersects the other two sides, then this line divides those two sides proportionally. Therefore:
20/10 = x/22
20/10*22 = x
44 = x
what is pi rounded to the nearest 15th
Answer:
3.1415926535 8979
Step-by-step explanation:
bruh just search it in google
There are 2 Senators from each of 50 states. We wish to make a 3-Senator committee in which no two members are from the same state. How many ways can we choose a Senator from a chosen state?
Answer:
2
Step-by-step explanation:
A state has 2 senators, so once you choose the state, there are 2 ways you can choose a senator from that state.
What is the value of a?
Answer:
6sqrt(2)
Step-by-step explanation:
Use the right angle altitude theorem.
4/a = a/18
a^2 = 4 * 18
a^2 = 2 * 36
a = 6sqrt(2)
32. The expression a^x means that a is to be used as a factor x times. Therefore, if a^x is squared, the result is
A) a^x^2
B) a^2^x
C) 2a^2^x
D) 2a^x
Answer:
B. a^2x
Step-by-step explanation:
squaring a^x gives. (a^x)²
by applying the rules of indices, ^2 multiplies x therefore making it a^2x
Samantha makes a maze for her pet gerbil. At one point in the maze, the path splits
and the gerbil has an equally likely chance to choose either the left branch or the
right branch. Samantha places her gerbil in the maze 10 times in a row and records
the number of times the gerbil chooses the left branch.
Outcome/Tally
Gerbil chooses left branch = 7 Tallys
Part A
What is the experimental probability that the gerbil will choose the left branch of
the maze on the next trial?
Part B
What is the theoretical probability that the gerbil will choose the left branch of the
maze on the next trial?
Part C
Does the experimental probability equal the theoretical probability? Explain.
Answer:
Part A: 7/10
Part B: 1/2
Part C: look below*
Step-by-step explanation:
Part A:
The probablity is a 7/10 because in the previous record the gerbil went left 7 out of the 10 times
Part B:
Theoretically the gerbil has a 1/2 of going either left or right since there are two options.
Part C:
The experimental probabilty does not equal the theoretical probability because during the trial the gerbil went left 7/10 and theoretically the gerbil would go left 5/10 times.
A car travels at 60 miles per hour. If d is the distance traveled and t is the time in hours: Write a function for the distance traveled d in t hours. What is the dependent variable? What is the independent variable? Make a table with at least 5 coordinate pairs. Graph the coordinate pairs and draw the function
Answer:
Step-by-step explanation:
d= distance
t= time
The independent variable is t, time. The distance the car travels depends on the time in hours spent travelling. The dependent variable is d, distance. Here is a table with 5 coordinate pairs that can be used.
(T) (D)
1 30
2 60
3 90
4 120
5 150
These are the coordinate pairs for the function. When we use division and determine the rate of change, we can determine that the average rate of speed (MPH) is 30 MPH.
Standing on the roof of her apartment building, the top of Carla’s head is 15 yards above the ground.
She spots a curb 20 yards from the base of the building. What is the height of the flagpole?
Answer: 9 yards
Step-by-step explanation:
The proportion x/15 = 12 / 20 ||| X * 20 = 20X ||| 12 x 15 = 180 ||| 180 / 20 = 9
The degree of the polynomial function f(x) is 4. The roots of the equation f(x)=0 are −2, −1, 1 and 3.
Answer:
f(x) = x^4 - x^3 - 7x^2 + x + 6
Step-by-step explanation:
Please, always share the instructions with every question you post. I am assuming that you are to write out the factors corresponding to the given roots, thus constructing a 4th degree polynomial, and then performng the multiplication necesssary to produce that polynomial with terms in descending order by power of x. Note that there must be 5 such terms.
f(x) = (x + 2)(x + 1)(x - 1)(x - 3)
Multiplying this out, we get:
f(x) = (x + 2)(x^2 - 1)(x - 3), or
f(x) = (x^3 - x + 2x^2 - 2)(x - 3), or:
f(x) = (x^3 + 2x^2 - x - 2)(x - 3), or:
f(x) = x^4 + 2x^3 - x^2 - 2x - 3x^3 - 6x^2 + 3x + 6
Combining like terms, we get:
f(x) = x^4 - x^3 - 7x^2 + x + 6
Note that because this is a 4th degree polynomial, the end behavior resembles that of the graph of y = x^4. As x increases, y initially decreases in Quadrant II, passes through the y-intercept (0, 6), and then increases without bound in Quadrant I.
PROBABILITY. 22 chocolate bars total. 3 Mr.Good bars, 7 Krackel bars, and 12 Hershey’s bars. You are going to grab 7 bars WITHOUT replacement. Express answers in decimal form, round to at least 4 decimal places. 1: P(3 Mr.Good bars and 4 krackel bars)? 2:P( 3 Krackel bars and 4 Hershey’s bars)? 3: P(none of the 7 are Hershey bars)?
Answer:
.7
Step-by-step explanation:
In the proportionm 1/Z 4/5/8 which number is equal to Z in the proportion?
Answer:
Z = 8
Step-by-step explanation:
4 5/8 = 37/8
1/Z = 37/8
So..
Z = 8
Hope this helps! :)
Please help me out i need it ASAP
Answer: C
Step-by-step explanation:
5 squareroot 2 = 7.07 which if you look up a 45 45 90 triangle calculator it is also eqivelant :)
Solve for b. -11b+7 = 40−11b+7=40
Answer:
This equation is false
Step-by-step explanation:
Well,
-11b + 7 = 4 - 11b + 7 = 40
combine like terms
-11b + 7 = -11b + 3 = 40
Communicative property
-3 to both sides
-11b + 4 = -11b = 40
-4 to both sides
-11b = -11b = 36
+11b to both sides
0 = 36
0 is not equal to 36 meaning that this equation is false.
Thus,
the equation given is false.
Hope this helps :)
Answer:
b= -3
Step-by-step explanation:
So uh it was not -11b+7 = 40−11b+7=40
it was -11b+7 = 40 the equasion was probably just copy pasted twice.
Sorry im late i just got this question on khan acadamey
hope this helps
Zack's science class is learning about ways to find the volume of irregularly-shaped objects. For his first experiment, Zack finds that a small marble statue weighs 1.3 kilograms. Then, he uses its density to find its volume in liters. If the density of marble is approximately 2.6 grams per milliliter, what is the volume of Zack's statue?
Answer:
The volume of the small marble is 500ml or 0.5 liters
Step-by-step explanation:
Mass of the small marble = 1.3kg
Convert it into grams
Mass of the small marble = 1300 grams
Density of the small marble = 2.6 grams/ml
Volume of the small marble = ?
The formula for density is given as:
Density = Mass / Volume
Where we need to find the volume, so rearrange the equation with respect to Volume.
Volume = Mass / Density
Volume = 1300 (grams) / 2.6 (grams/ml)
Volume = 500 ml
Thus, the volume of the small marble is 500ml or 0.5 liters
if the domain of a coordinate transformation that is reflected over the y-axis is (-1,3),(2,1),(5,-1)and(-1,-2) what is the range
Answer:
Range remains the same.
Step-by-step explanation:
(1,3),(-2,1),(-5,-1) and (1,-2)
The range is { -2 ≤ y≤ 3 } .
What is Transformation?Transformation is changing the graph to a new one by Rotation, Reflection, Translation, and Dilation.
Reflection is to create a mirror image of the coordinate or the figure.
After reflection along any axis, the coordinate of the other axis changes to its additive inverse.
(x,y) ----> when reflected along y axis ----> ( -x , y)
The domain is all the values a function can have as input and the range is all the values that a function can have.
The original coordinate changes to (-1,3),(2,1),(5,-1)and(-1,-2).
When reflected along the y-axis, the coordinates of the x-axis change and there is no change in the y-axis.
So the value of the domain changes while the range remains the same.
The range is { -2 ≤y≤3}
To know more about Transformation
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You are playing a board game. All even numbers are positive, and all odd numbers are negative. A positive number indicates forward movement, and a negative indicates backward movement. During your last 10 turns, you have gone back 90 spaces. if you spun the same number each time which number did you spin?
Answer:
Step-by-step explanation:
We khow that a positive number means going forward whereas a negative one means going bachward positive ⇒even negative⇒oddwe moved 90 spaces back so we are dealing with a an odd number we played ten timesLet o be the number we spinned ten times :
90= 10 o0= 90/10 o=9We spinned 9 ten times