Answer:
Step-by-step explanation:
1. First multiply to get the number of hours for 5 painters.
5*21= 105 minutes for 5 painters.
2. Divide by 7 for hours taken for the 7 painters!
105/7=15
3. Answer=15 hours
BD = 5, CX = 3, CD = 5
what does BC equal
Answer:
BC = 6
Step-by-step explanation:
since BD = CD then Δ BCD is isosceles.
the line a through D is a perpendicular bisector of BC, then
BX = CX = 3 , so
BC = BX + CX = 3 + 3 = 6
Recall that Benford's Law claims that numbers chosen from very large data files tend to have "1" as the first nonzero digit disproportionately often. In fact, research has shown that if you randomly draw a number from a very large data file, the probability of getting a number with "1" as the leading digit is about 0.301. Now suppose you are an auditor for a very large corporation. The revenue report involves millions of numbers in a large computer file. Let us say you took a random sample of n = 220 numerical entries from the file and r = 52 of the entries had a first nonzero digit of 1. Let p represent the population proportion of all numbers in the corporate file that have a first nonzero digit of 1.
(i) Test the claim that p is less than 0.301. Use = 0.05.
A button hyperlink to the SALT program that reads: Use SALT.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: p < 0.301; H1: p = 0.301
H0: p = 0.301; H1: p ≠ 0.301
H0: p = 0.301; H1: p > 0.301
H0: p = 0.301; H1: p < 0.301
Correct: Your answer is correct.
(b) What sampling distribution will you use?
The Student's t, since np > 5 and nq > 5.
The standard normal, since np > 5 and nq > 5.
The Student's t, since np < 5 and nq < 5.
The standard normal, since np < 5 and nq < 5.
Correct: Your answer is correct.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
The hypothesis are given as follows:
H0: p = 0.301; H1: p ≠ 0.301.
a) The level of significance is of 0.05.
b) The sampling distribution is given by: The standard normal, since np > 5 and nq > 5.
The test statistic is of: z = -2.09.
c) The p-value is of: 0.0366.
What are the hypothesis tested?At the null hypothesis, it is tested if there is not enough evidence to conclude that the proportion has changed, hence:
[tex]H_0: p = 0.301[/tex]
At the alternative hypothesis, it is tested if there is enough evidence to conclude that the proportion has changed, hence:
[tex]H_1: p \neq 0.301[/tex]
What is the test statistic?The test statistic is given by the equation presented as follows:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
The parameters of the equation are listed as follows:
[tex]\overline{p}[/tex] is the sample proportion.p is the proportion tested at the null hypothesis.n is the sample size.The values of these parameters for this test are:
[tex]\overline{p} = \frac{52}{220} = 0.2364, p = 0.301, n = 220[/tex]
Hence the value of the test statistic is of:
[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]
[tex]z = \frac{0.2364 - 0.301}{\sqrt{\frac{0.301(0.699)}{220}}}[/tex]
z = -2.09.
What is the p-value?We have a two-tailed test, as we are testing if the proportion is different of a value.
Hence, using a z-distribution calculator, with z = -2.09, the p-value is of 0.0366.
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Solve the inequality4x + 13 ≥ 27
Work Shown:
4x + 13 ≥ 27
4x + 13-13 ≥ 27-13
4x ≥ 14
4x/4 ≥ 14/4
x ≥ 7/2
The inequality sign stays the same for each step. The inequality sign only flips if we were to multiply both sides by a negative number (or divide both sides by a negative number).
Note: 7/2 = 3.5
Match each number on the left with the correct description of the number on the right.
Answer:a, c and d
Step-by-step explanation:bc i got it right on edge
I need answer help please
For given function f(x) = 7/(x² - 5),
f(a + 4) = 7/(a² + 8x + 11)
In this question we have been given a function f(x) = 7/(x² - 5)
We need to evaluate f(a + 4)
Substitute x = a + 4 in given function.
f(a + 4)
= 7/((a + 4)² - 5)
= 7/(a² + 8x + 16 - 5)
= 7/(a² + 8x + 11)
Therefore, for given function f(x) = 7/(x² - 5),
f(a + 4) = 7/(a² + 8x + 11)
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a bakery worker uses 175 cups of sugar to make 100 cinnamon rolls. at this rate, how many cups of sugar would be needed to make 1 cinnamon roll?
Using the same pictorial sequence from Growing Dots 1 and Growing Dots 2, but a different beginning point, describe the pattern you see. Assuming the sequence continues in the same way, how many dots are there at 100minutes? Create a table and graph. Write an equation for the number of
dots at tminutes.
In total there will be 397 dots after 100 minutes.
What do you mean by airthmetic sequences?
Arithmetic sequences are sequences of the form:
a, a+d, a+2d, a+3d, a+4d, …
a is the first term and d is the common difference
series. The n terms of the arithmetic progression are given by
[tex]a_{n}[/tex] = a + (n - 1)d
The number d is called the common difference
Arithmetic progressions differ by d and any terms [tex]a_{n}[/tex] and [tex]a_{n-1}[/tex]
d = [tex]a_{n}-a_{n-1}[/tex] -
According to the given pattern, in the first figure, number of dots is 1 , in the second figure, number of dots become 5 , similarly in the next the count is 9 and 14
So, the sequence become
1,5,9,14......
here first term , a = 1
common difference , d = 5-1 = 4
We need to find the number of dots after 100 minutes
So, here n = 100
We need to find [tex]a_{100}[/tex]
[tex]a_{100}[/tex] = a + (100 - 1) d = 1 + 99(4) = 1 + 396 = 397
Therefore, in total there will be 397 dots after 100 minutes.
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On one campus, 620 undergraduate students work 50 or more weeks. If this student body is average in terms of work habits, about
how many undergrads would you expect there to be on the entire campus?
Answer:
Step-by-step explanation:
Solve-ns16 Which of the following must be true about the inequality and the resulting graph? Select three
options.
ns<-24
n>-24
The circle is open.
The circle is closed.
The arrow points right.
By using the concept of inequality, the correct options are
2nd, 4th and 5th option
What is linear inequation?
Inequation shows the comparision between two algebraic expressions by connecting the two algebraic expressions by [tex]> , < . \geq, \leq[/tex]
A one degree inequation is known as linear inequation.
Here,
The given inequation is
[tex]\frac{-2}{3}n \leq 16[/tex]
Now,
[tex]\frac{-2}{3}n \leq 16\\n \geq -16 \times \frac{3}{2}\\n \geq -24\\[/tex]
Since n is greater than or equal to 24, the arrow will point towards right
The circle will be closed as there is an equality
So the correct options are 2nd, 4th and 5th option
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Complete Question
The complete question has been attached here
Graph the function rule. Tell whether the graph is continuous or discrete. The height h, in inches, of the juice in a 20-oz bottle depends on the amount of juice j, in ounces, that you drink. This situation is represented by the function rule h=8−0.4j.
Upon graphing of the function rule h = 8 - 0.4j, we see that the graph is continuous.
We are given the function as; h = 8 - 0.4j
Let h represent the height in inches on the y-axis and let j represent the amount of juice in ounces on the x-axis.
We are told that the height of the juice in a 20-oz bottle depends on the amount of juice. This means that j is an independent variable and h is dependent variable.
The function represents the height of juice after drinking j ounces of juice. Therefore as the juice is being drank, the height of the juice in bottle will change continuously. Therefore, the graph of our given function will be continuous because we can drink fractions of an ounce juice.
The equation of a line in slope-intercept form is given as;
y = mx + b
where;
m is Slope of line
b is y-intercept
If we rewrite our function slope-intercept form of equation, we will get;
h = -0.4j + 8
Thus;
Slope = -0.3
y-intercept = 8.
The graph is as plotted in the attached file
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Plot a point that is in the solution region of this inequality.
y>x-3+8
The point (-6,6) is in the solution region of the inequality and is plotted in given below graph.
Given,
Equation -> y > x - 3 +8
y > x + 5
Lets take a point A(-6,6)
Putting the value in equation,
6 > -6 + 5
6 > -1
which is true.
Hence, A(-6,6) lies in the region of the inequality.
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A test is worth 100 points. Each problem is worth either 2 points or 5 points. The number of 5-point problems is 22 fewer than the number of 2-point problems. How many problems of each type are on the test?
The number of 2 points and 5 points are 30 and 8 respectively.
How to calculate the value?Let the number of 5 points = x
Let the number of 2 points = x + 22
It was also stated that the test is worth 100 points and that each problem is worth either 2 points or 5 points.
This will be:
5x + 2(x + 22) = 100
5x + 2x + 44 = 100
7x + 44 =
Collect like terms
7x = 100 - 44
7x = 56
Divide
x 56 / 7
x = 8
Number of 5 points = 8
Number of 2 points = x + 22 = 8 + 22 = 30
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Jotes
Check
A dime is 1.35 x 10-3 meter thick. What would be the height, in
meters, of a stack of 1 million dimes?
A1.35 x 10^2meters
B 1.35 x 10^3meters
1.35 x 10^4 meters
1.35 x 10^9meters
Go Online You can complete an Extra Example online.
Show
your work
here
Answer:
Step-by-step explanation:
What is the answer for -3 > -2x + 7
?
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
−2x+7<−3Subtract 7 from both sides.
−2x<−3−7Subtract -7 from −3 to get −10.
−2x<−10Divide both sides by −2. Since −2 is negative, the inequality direction is changed.
[tex]x > \frac{ - 10}{ - 2} [/tex]Divide −10 by −2 to get 5.
x>5guys please answer all my questions are being ignored
Line x is the perpendicular bisector of segment ZY
what does x =
Answer:
x=7
Step-by-step explanation:
these 2 triangle sides are equal to each other so just set them equal to find x
X+3=3x-11
-x. -x
3=2x-11
+11. +11
14=2x
=2. =2
7=x
Hopes this helps please mark brainliest
How do I solve this ?
See attachment, this took me a while so please say thanks and rate <3
How would I solve this?
Answer:
y=2x-22
Step-by-step explanation:
lets make the equation into slope intercept form
-2x+y=-8 let's move the -2x to the other side we get
y=2x-8
now let's create our equation with the points given
to create the equation you want to make it point slope form with the point given
y-0=2(x-11) distribute the 2 and we can remove the 0
y=2x-22
Describe the slope of the line
Find the slope
m=??
Answer: 2.333333...
Step-by-step explanation:
If we apply rise over run, we see that it rises 3.5 spaces, and runs 1.5, which means that [tex]m = \frac{rise}{run} = \frac{3.5}{1.5} = 2.33333...[/tex]
2a × ( 3 + b ) = 6a + 2ab is an example of the property
Answer:
It's an example of the distributive property
12u–9u–5u+13= -5
find u
I WILL GIVE BRAINLIEST!
Shamar belongs to a movie club that deducts $14 every month from his bank account. What is the change in Shamar's bank account after 7 months of paying for the movie club?
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The change in Shamar's bank account after 7 months is
x - 98.
Where x is the amount in the account initially.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Amount in the account = x
Amount deducted every month = $14
The change in the account after 7 months.
= x - 7 x 14
= x - 98
Thus,
The change in Shamar's bank account after 7 months is
x - 98.
Where x is the amount in the account initially.
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5 red beads,3 blue,4 green probability of a blue bead
Answer:
3/12 or 40%
not 10000% sure on this tho
2/5 divided by 8/15 please
The value of 2/5 divided by 8/15 is 3/4
What is a fraction?A fraction can be defined as the he or portion of a whole set or element
There are different types of fractions, which includes;
Proper fractionsImproper fractionsMixed fractionsComplex fractionsSimple fractionsSome examples include;
Simple fractions; 1/ 2, 1/3
Proper fractions; 1/ 4, 2/ 3
Improper fractions; 3/ 2, 5/3
Mixed fractions; 2 1/ 6
We have that;
2/ 5 ÷ 8/15
Take inverse of divisor and multiply
2/ 5 × 15/ 8
Divide through
3/4
Hence, the value is 3/4
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Which inequality is represented by the graph?
5 - 3 -2 -1 0 1 2 3
-3
(1) x>-1
(3) *<-1
(2) x≤-1
D
(4) x ≥-1
4
gering
5
Answer:
answer,(2)x≥-1
Step-by-step explanation:
it was right
Can somebody please help me find a answer key for these
Answer:
Step-by-step explanation:
Write an equation of the line that passes through (-3,1) and is perpendicular to y= 1/2x +3
Answer: y=-2x-5
Check this in desmos
5. Given the following measurements in
parallelogram ABCD, find the PERIMETER of
CED.
AC 34 in. AB = 26 in. BD = 28 in.
P=
The Perimeter of triangle CED is 57 in.
What is a parallelogram?
A parallelogram is the name given to a quadrilateral in geometry. In a parallelogram, the opposing sides are parallel and of equal length. The rhombus, rectangle, and square are just a few shapes that are parallelograms.
Having two sets of parallel sides makes a quadrilateral a parallelogram. A parallelogram has opposite sides that are the same length and angles that are the same size. Additionally, the internal angles on the same transverse side are supplementary. 360 degrees are equal to the total of all internal angles.
Two parallel pairs of sides make up a parallelogram, a quadrilateral. Four right angles form a parallelogram called a rectangle.
Rhombus: An equal-length parallelogram with four sides.
The diagonals of a parallelogram bisect each other AC = 2 CE
Substitute AC= 34 into AC = 2CE =34 = 2CE
Calculate 34 = 2 CE=> CE = 17
The diagonals of a parallelogram bisect each other BD = 2DE
Substitute BD= 28 into BD = 2DE => 28 = 2DE
Calculate 28 = 2DE => DE = 14
Opposite sides of parallelogram are congruent AB = CD
Substitute AB = 26 into AB = CD => CD = 26
Perimeter of a triangle PΔCDE = CE + CD + DE
Substitute CE = 17, DE = 14, CD = 26.
PΔCDE = CE + CD + DE
PΔCDE = 17+ 26 + 14
PΔCDE = 57 in
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Two people are jogging around a circular track in the same direction one person can go to completely around the track in 21 minutes the second person takes 18th if they both start running in the same direction at the same time how long will it take them to be together at this place if they continue to run
Answer:
n * 21 = m * 18 one runs n laps and one runs m laps to again be together at the same place
7 n = 6 m divide by 3
one runs 7 * 18 = 126 min
the other runs 6 * 21 = 126 min
After 126 min they will be together at the start
9. The sum of two numbers is 130 and their difference is 34. Let x be the first number and y be the second
number. Set up a system of equations and use the elimination method to find the numbers. You must
show your work.
Using the system of equations and use the elimination method the two numbers are 82 and 48.
What is the elimination method?
To create an equation in one variable using the elimination approach, you can either add or subtract the equations. To eliminate a variable, add the equations when the coefficients of one variable are in opposition, and subtract the equations when the coefficients of one variable are equal.
Here, we
let the first number = x
let the second number = y
according to the given conditions:
x + y = 130 ........(1)
x - y = 34 .........(2)
Using the elimination method we add both equations (1) and (2) and we get
2x = 164
x = 164/2 = 82
Now, we substitute the value of x in eq (1) and we get
82 + y = 130
y = 130-82
y = 48
Hence, using the system of equations and use the elimination method the two numbers are 82 and 48.
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Pedro walks 3/8 of a mile in a 1/4 of an hour. How many miles does he walk in an hour
Answer:
S=3/8 miles
T=1/4 hour
V=S/T = 3/8 ÷ 1/4 = (3×4)÷8 = 3/2 miles in an hour