Final answer:
After descending 7 feet, ascending 22 feet, and descending 9 feet, the individual is 6 feet above the ground level.
Explanation:
The question involves a sequence of movements by an individual on a ladder at a construction site. To solve this, let's track each movement relative to the initial position at ground level.
The individual climbs down 7 feet to the basement, so they are now 7 feet below ground.Then they climb up 22 feet which brings them 15 feet above ground level (since they were originally 7 feet below).Finally, climbing down 9 feet from the second floor, they are now 6 feet above the ground level.Therefore, the individual is 6 feet above the ground after these movements.
A fresh fruit distributor claims that only 4% of his Macintosh apples are bruised. A buyer for a grocery store chain suspects that the true proportion p is higher than that. She takes a random sample of 30 apples to test the null hypothesis H0: p = 0.04 against the alternative hypothesis Ha: p > 0.04. Which of the following statements about conditions for performing a one-sample z test for the population is correct?
a
We can’t determine if the conditions have been met until we have the sample proportion, p hat .
b
The test cannot be performed because the Random condition has not been met.
c
All conditions for performing the test have been met.
d
The test cannot be performed because the Large Counts condition has not been met.
Final answer:
The correct statement about the conditions for performing a one-sample z test for the population is that we can't determine if the conditions have been met until we have the sample proportion, p hat.
Explanation:
The correct statement about the conditions for performing a one-sample z test for the population is:
a. We can’t determine if the conditions have been met until we have the sample proportion, p hat.
When performing a hypothesis test of a single population proportion, the conditions for a binomial distribution need to be met. These conditions include a certain number of independent trials, success or failure outcomes, and each trial having the same probability of success. In addition, the shape of the binomial distribution should be similar to the shape of a normal distribution, which is ensured when np and nq are both greater than five. Therefore, the conditions cannot be definitively determined until the sample proportion, p hat, is known.
The Large Counts condition is met (np >= 10, n(1-p) >= 10), allowing the z-test. Other conditions are satisfied, validating the test.
Therefore, the correct answer is: **d. The test cannot be performed because the Large Counts condition has not been met.**
To perform a one-sample z-test for the population proportion, we need to check certain conditions:
1. **Random Sample**: The sample should be chosen randomly from the population to ensure that it is representative.
2. **Normality of Population**: There are two criteria for this condition:
- If the population distribution is approximately normal, we can proceed.
- If the population distribution is not normal, the sample size should be large enough (n x p >= 10 and n x (1-p) >= 10) to ensure that the sampling distribution of the sample proportion is approximately normal by the Central Limit Theorem.
3. **Independence**: Each observation in the sample should be independent of the others.
Given:
- Sample size (n) = 30
- Population proportion (p) = 0.04
We need to check if these conditions are met.
a. **We can’t determine if the conditions have been met until we have the sample proportion, p hat.**
- This statement is incorrect because we can still check the conditions without knowing the sample proportion.
b. **The test cannot be performed because the Random condition has not been met.**
- This statement is incorrect because the problem states that the buyer took a random sample of 30 apples, so the Random condition has been met.
c. **All conditions for performing the test have been met.**
- This statement is incorrect because we haven't checked the Large Counts condition yet.
d. **The test cannot be performed because the Large Counts condition has not been met.**
- To check the Large Counts condition, we need to verify whether the sample size is large enough to ensure that the sampling distribution of the sample proportion is approximately normal.
- The Large Counts condition is met if both np >= 10 and n(1-p) >= 10.
- Here, n = 30 and p = 0.04
- np = 30 x 0.04 = 1.2
- n(1-p) = 30 x (1 - 0.04) = 28.8
- Both np and n(1-p) are greater than or equal to 10.
- So, the Large Counts condition is met.
Therefore, the correct answer is: **d. The test cannot be performed because the Large Counts condition has not been met.**
*** PLEASE HELP ASAP
what is the length of the hypotenuse of the triangle?
1. 22 ft
2. 33 ft
3. 57 ft
4. 65 ft
Answer is square root of 65
Explanation:
Use the pathagreom theoream: a’2+ b’2= c’2 (C= hypotenus and a + b is legs)
Substitute:
7^2 + 4^2 = c^2
65= c^2
Square root both sides and you get … c= square root of 65
The hypotenuse of the triangle is AB = √65 feet
What is a Triangle?A triangle is a plane figure or polygon with three sides and three angles.
A Triangle has three vertices and the sum of the interior angles add up to 180°
Let the Triangle be ΔABC , such that
∠A + ∠B + ∠C = 180°
The area of the triangle = ( 1/2 ) x Length x Base
For a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
if a² + b² = c² , it is a right triangle
if a² + b² < c² , it is an obtuse triangle
if a² + b² > c² , it is an acute triangle
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of sides of the triangle are
The measure of AC = 7 feet
The measure of side BC = 4 feet
Now , for a right angle triangle
From the Pythagoras Theorem , The hypotenuse² = base² + height²
AB² = AC² + BC²
On simplifying , we get
AB² = 7² + 4²
AB² = 49 + 16
Taking square roots on both sides , we get
AB = √65 feet
Hence , the hypotenuse of the triangle is AB = √65 feet
To learn more about triangles click :
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which ratios form a proportion?
2/3 and 8/12, because when you divide both 8 and 12 by 4 you get 2/3, which makes it proportional to 2/3
Answer:
2/3 and 8/12
Step-by-step explanation:
Solve for x: 0.25x+0.1x=9.8
Answer:
x=28
Step-by-step explanation:
Answer:
x=28
Step-by-step explanation:
Simplifying
0.25x + 0.1x = 9.8
Combine like terms: 0.25x + 0.1x = 0.35x
0.35x = 9.8
Solving
0.35x = 9.8
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '0.35'.
x = 28
Simplifying
x = 28
EASY MATH!
ASAP!
What are the color of the shoes worn by students in my school?
What are the heart rates of students in a sixth-grade class?
For each question write a sentence explaining if it is a statistical question or not.
Answer:
I think both
Step-by-step explanation:
Statistical question are questions that can be collected by data that varies. Here, both statements ask for a variety of data from multiple students, so I believe both are statistical. I hope this helps!
Answer:
both :) welcome hope it helps
please help explain good luck
Answer:
27
Step-by-step explanation:
Remember to follow PEMDAS. Note that, when multiplying or dividing:
1) one positive and one negative = negative number
2) two positive = positive number
3) two negative = positive number
(-7)(-5) = -7 * -5 = 35
+(-8) = +1 * -8 = -8
Subtract:
35 - 8 = 27
27 is your answer.
~
first do -7 times -5 because Parentheses means multiplication. After, you would add your answer to -8. Your answer would be 27.
Plot the points p(-4,2), Q(0,4),?and R(2,5) on a coordinate plane
hence it forms a straight line
Answer: you line is a straight line, is a positive line.
Step-by-step explanation: you rise/run which mean that you have to use (x,y) in the coordinate plane you plug in p)-4 down & 2 up, then you plug in Q) which is 0 is in your original in you go up 4 in you y-axis & then you plug in R) you run 2 & go up 5
I need the value of Z.... please look at the attachment.
Answer:
Value of Z is 16.39
Step-by-step explanation:
each line is 0.08 away.
the value of z is 16.39
hope this helped! have a nice day!
Identify the geometric mean of 1/3 and 1/27.
Answer:
1/9
Step-by-step explanation:
To find the geometric mean of two numbers, multiply them together, then take the square root
G.M = sqrt( 1/3 * 1/27)
= sqrt(1/81)
= 1/9
The width of a poster is 20 inches less than its length, x. Express the number of inches in the width of the poster in terms of its length, x
X-20 because x is the width and the length is x-20
Omar makes a total of $51.75 selling brownies and muffins at a bake sale. If he sells 16 brownies for $2.25 each how many muffins does he sell at $1.75 each?
Omar sells 9 muffins. I hope this helps!
What’s the perimeter of Patrick’s Figure?
Answer:
to find a perimeter of a square all you need to do is count how many units on one side. Then you multipluy it by four since there are four sides in a square
Step-by-step explanation:
Regis has a bag with 8 tiles numbered 1 through 8. He randomly draws one bag without looking. Which of the following describes a likely outcome?
He has a likely outcome of 1/8
What is the value of the expression 4x − y when x = 3 and y = 1?
1
6
11
12
Answer:
11
Step-by-step explanation:
4x -y
substitute numbers for variables
4(3) - 1 -- multiply first
12-1 subtract
11
Option C is correct. The values of the expression 4x − y when x = 3 and y = 1 will be 11.
What exactly is a polynomial?They are mathematical formulas containing variables raised by non-negative integers, coefficient, and constants involving only addition, subtraction, multiplication, and non-negative exponentiation of variables.
The given expression is;
4x − y
Put, x = 3 and y = 1
⇒4x − y
⇒4(3)− 1
⇒11
The values of the expression 4x − y when x = 3 and y = 1 will be 11.
Hence, option C is correct.
To learn more about polynomials, refer:
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Which of the following statistical measures is least appropriate for describing the data set shown below?
1, 5, 5, 5, 6, 6.5, 7, 30
a mode
b mean
c median
mean is the answer nnnnnnnnn
Answer: choice a, the mean
Step-by-step explanation:
208+8.3x−10.8+2.4x PLEASE HELP ME AND FAST
Answer:
197.2+10.5x
Step-by-step explanation:
Combine regular numbers and combine x
208-10.8+8.3x+2.4x
197.2 + 10.5x
How do I solve
[tex] \sin( a ) = .8325[/tex]
It says "Round to the nearest tenth."
Answer:
[tex]a=56.4\degree[/tex]
Step-by-step explanation:
Let [tex]a[/tex] be an acute angle.
To solve: [tex]\sin(a)=0.8325[/tex], we take the sine inverse of both sides to obtain:
[tex]\sin^{-1}(\sin(a))=\sin^{-1}(0.8325)[/tex]
Recall composition property of a function and its inverse function.
[tex]f^{-1}(f(x))=x[/tex]
We apply this property to the left hand side to obtain;
[tex]a=\sin^{-1}(0.8325)[/tex]
We now use our scientific calculator to obtain;
[tex]a=56.3564115\degree[/tex]
We round to the nearest tenth to obtain;
[tex]a=56.4\degree[/tex]
How is 75,054 written in words
seventy-five thousand and fifty-four.
Answer:
seventy five thousand and fifty four
Step-by-step explanation:
2. Shakia has five days to read a 200-page book. If she wants to
read the same number of pages each day, how many pages
should she read each day?
Estimate Jira ordered a book for $6.99, a dictionary for $8.99, a
set of maps for $5.99. Estimate the price for all three items. Then f
the actual price.
Patrick practiced the harmonica for 7 weeks before his recital. How
many days are equal to 7 weeks?
One third of the books were placed on the first shelf. What fraction
the books were not placed on the first shelf ?
Represent To what decimal number is the arrow pointing? Wha
mixed number is this?
Answer:
Shakia will read 40 pages each day.
Step-by-step explanation:
To find out how many pages Shakia should read each day, you have to divided 200 by 5, and you will get an answer of 40 pages.
------------------------------------------------------------------------------------
Answer:
The estimate price for all three items is $22.00.
The actual price would be $21.97.
Step-by-step explanation:
To find the estimate price, just round each price to the nearest whole number, so $6.99 → $7.00, $8.99 → $9.00, and $5.99 → $6.00. Add them all together and you'll get $22.00.
To find the actual price without estimating, simply add $6.99 + $8.99 + $5.99, and the answer is $21.97.
------------------------------------------------------------------------------------
Answer:
49 days are equal to 7 weeks.
Step-by-step explanation:
Since there are 7 days in 1 week, and you want to find out how many days are in 7 weeks, you just multiply 7 x 7 and get 49 days.
------------------------------------------------------------------------------------
Answer:
2/3 of the books were not placed on the first shelf.
Step-by-step explanation:
All you have to do to answer this problem is subtract 3/3 - 1/3 and you'll find out how many books are not placed on the first shelf.
------------------------------------------------------------------------------------
In order to solve the last problem, I need more information.
A female gorilla has a mass of 85,000 grams a male gorilla has amass of 220 kilograms what is the difference between these two masses in grams please show work
Answer: 220000 grams for male
Step-by-step explanation:
The difference between 85,000 grams and 220 kilograms is that the Male gorilla weighs about 135,000 grams more than the female gorilla.
You can do the math by converting the kilograms to grams and then subtracting how much the Male gorilla weighs by how much the female gorilla weighs.
HELPPPPPPPPPPPPPP PLZZZZZZZZZZZ clock arithmetic Will mark brainiest .
clock arithmetic
calculate = a) 8 - 11 (12 clock ) (a) 9 + 10 (18-clock)
B) 4 Divide 9 ( 12 clock ) (B) 2 Divide 5 (13-clock)
C) 7 - 6 ( 12 clock ) (C) 1 - 5 ( 37 - clock )
D) 8 Divide 5 ( 12 clock ) ( D ) 3 * 9 ( 18 clock )
I know this is too much but plz helpppppp
PLZ GIVE ANSWER LIKE THIS = 4 + 9 = 13, 13 - 12 = 1 .... THANKKKSSSSSSS
Answer:
see below
Step-by-step explanation:
In clock arithmetics, your answer has to be in the range 0-N where N is the number of hours in your given clock.
If the initial answer < 0, you add N until you get >=0
If the initial answer >= N, subtract N until you get < N.
a) 8 - 11 (12 clock ) = -3, then -3 + 12 = 9
(a) 9 + 10 (18-clock) = 19, then 19 - 18 = 1
B) 4 Divide 9 ( 12 clock ) , 4/9
(B) 2 Divide 5 (13-clock) , 2/5
C) 7 - 6 ( 12 clock ) = 1, fine.
(C) 1 - 5 ( 37 - clock ) = -4, then -4 + 37 = 33
D) 8 Divide 5 ( 12 clock ) = 8/5, fine
( D ) 3 * 9 ( 18 clock ) =27, then 27 - 18 = 9
Brad sold candy bars and cookies for a fundraiser at school. Candy bars sold for $3, and cookies sold for $5. He sold a total of 20 items and made $76. How many candy bars did Brad sell? 12 14 16 18]
Answer: First option
12 candy bars were sold
Step-by-step explanation:
Call x the amount of candy sold and call z the amount of cookies sold. Then we know that
[tex]x + z = 20[/tex]
We also know that candy bars sell for $ 3 and cookies sell for $ 5. The profit was $ 76
So:
[tex]3x + 5z = 76[/tex]
To find the quantity of candy bars sold we must solve the system of equations:
[tex]x + z = 20\\\\3x + 5z = 76[/tex]
Multiply the first equation by -5 and add it to the second equation
[tex]-5x -5z = -100[/tex]
+
[tex]3x + 5z = 76[/tex]
--------------------------------
[tex]-2x = -24\\\\x = 12[/tex]
Brad sold 12 candy bars.
To find this answer, you could do the following steps.
1. Use the formula $3b + $5c = $76 where "b" is the number of bars and "c" is the number of cookies.
2. Fill in each of the given answers (12, 14, 16, 18) into "b".
3. Subtract the given answers from 20 to get the number of cookies (8, 6, 4, 2).
4. Solve to see if it comes out even.
Below are all the solutions in which you use these steps.
A. $3 * 12 + $5 * 8 = $76
$36 + $40 = $76
$76 = $76
True
B. $3 * 14 + $5 * 6 = $76
$42 + $30 = $76
$72 = $76
False
C. $3 * 16 + $5 * 4 = $76
$48 + $20 = $76
$68 = $76
False
D. $3 * 18 + $5 * 2 = $76
$54 + $10 = $76
$64 = $76
False
Thus making 12 the answer. I hope this helps!
the game of chance has a spinner with five equal sized sections the results of 625 spins are shown below color orange 118 ,purple 137, Brown 122 ,yellow 106, green 142. for which color is experimental probability closest to the theoretical probability explained
Answer:
Brown.
Step-by-step explanation:
Theoretical probability for each:
625
5
= 125
122 is closest to 125. Therefore Brown has the closest experimental probability to it's theoretical probability.
For brown, the experimental probability is closest to the theoretical probability.
What is the theoretical probability?
We assume that in the ideal case, all the 5 colors have the same probability of being the outcome. Then the probability for each color will be:
P = 1/5 = 0.20
We need to see for which color the experimental probability is closest to 0.20.
The experimental probability will be given by the quotient between the number of times that each color appears and the total number of spins, so we have:
Orange: P = 118/625 = 0.1888Purple: P = 137/625 = 0.2192Brown: P = 122/625 = 0.1952Yellow: P = 106/625 = 1.696Green: P = 142/625 = 0.2272As you can see, the closest one to 0.2 is Brown, so for Brown, the experimental probability is closest to the theoretical probability.
If you want to learn more about probability, you can read:
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the graph of y= 6cos (x-2) - 3 is obtained by shifting the graph of y=6 cos x-3 horizontally 3 units to the right. true or false?
Answer:
false.
Step-by-step explanation:
Given the function g(x) = f(x − k), can be sketched f(x) shifted k units horizontally. if k is negative, the function is shifted k units to the left.
Given the function g(x) = f(x) + k, we can say that the function is translated vertically upwards k times. If k is negative, the function is translated vertically downwards k times.
In this case, the function is translated two units to the right and 3 units down because the number "-3" is negative.
So it's false. The graph is translated three units downwards and 2 units to the right.
The given statement is a false statement.
Step-by-step explanation:We know that the transformation of the type:
f(x) to f(x+k)
is a horizontal shift of the graph.
The graph is shifted k units to the right if k is negative and if k is positive then the graph is shifted k units to the left.
Here we have the graph as:
[tex]y=6\cos (x)-3[/tex]
and the translated graph is given by:
[tex]y=6\cos (x-2)-3[/tex]
This means that:
f(x) → f(x-2)
i.e. the graph is shifted horizontally 2 units to the right ( since k=2 is positive )
What’s is value of X
Answer:
13 by using pythagorean theorem
Step-by-step explanation:
Can someone help like quickly I have to submit this in ten minutes.
Answer:
c:188.1 gal
Step-by-step explanation:
Baisically, you have to start by finding the volume of the pool. You multiply length*width*height(deepness).
3.8*5.5*1.2=25.08 ft^3
To convert from ft to gallons, we have to multiply by 7.5
25.08*7.5=188.1 gal
Please Answer..... Thanks :)
Use the distributive property to remove the parentheses.
5(9 - v)
Answer:
45 - 5 v
Hope this helps :)
Have a great day !
5INGH
Step-by-step explanation:
5 × 9 = 45
5 × - v = - 5 v
45 - 5 v
Answer:
This is what you would do!
One, you start off by multiplying 5 into the parentheses (9 and v)
Next, it will look like this,
5(9)-5(v)
Then multiply your equation
5x9=45
5xv=5v
And this is what it would look like
45-5v
(Sometimes this would just stay like this, put if your teacher wants the unknown number to be by itself, this is what you would do next)
Divide 5 to both problems
45/5 5v/5
9=v
(That last part is if you need it but hopes it helps :))
Step-by-step explanation:
The probability of buying fiction versus nonfiction is the same regardless of
whether or not the person buys a hardcover or paperback in the tree diagram.
Which of the following is true then?
A. The events are dependent on each other.
B. The events are not mutually exclusive
C. The events are independent of one another
D. The events are conditional events
Answer:
C. The events are independent of one another
Step-by-step explanation:
If the probability remains the same whether or not hardcover or paperback is bought, then the probability is not reliant on this variable, and is independent.
The events are independent of one another since the probability of choosing fiction or nonfiction is unaffected by the book format (hardcover or paperback).
The question deals with the concept of probability in the context of buying books, i.e., whether purchasing a fiction or nonfiction book is affected by the format of the book (hardcover or paperback). It is given that the probability of buying fiction versus nonfiction is the same whether or not the person buys a hardcover or paperback.
This implies that the events (buying fiction or nonfiction) are independent of the format. According to the principles of probability, independent events have no impact on each other's occurrence.
The formula for independent events states that P(A AND B) = P(A)P(B), and P(B|A) = P(B).
Milan drove 792 miles in 11 hours. At the same rate, how many miles would he drive in 9 hours? Please Answer, Thanks. :)
Answer:
648
Step-by-step explanation: You have to do 792 divided by 11 wich = 72 then do 72 x 9 and it = 648.
7 eights into decimal and fraction
Answer:
Decimal Form: 0.875 Fraction Form: 7/8
Step-by-step explanation:
7 divided by 8 is 0.875 and another way to write seven eighths is 7/8
I hope this helps