Answer:
9
Step-by-step explanation:
18÷2=9
So, Ann could have 9 rows of posters with 2 posters in each row.
Use the upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width). (Round your answers to three decimal places.) y = 1 − x2.
Answer:
The answer to this question can be defined as follows:
The Lower sum ="0.659"
The Upper sum ="0.859"
Step-by-step explanation:
In the given equation there is some mistype error, so the correct equation and its solution can be defined as follows:
Equation:
[tex]y= \sqrt{1-x^2}[/tex]
calculating the Δx:
[tex]=\frac{(1 - 0)}{5}\\\\=\frac{1}{5}[/tex]
calculating the Upper sum value:
[tex]=\bigtriangleup x \times (f(0) + f(\frac{1}{5}) + f(\frac{2}{5}) + f(\frac{3}{5}) + f(\frac{4}{5})) \\\\= \frac{1}{5} \times (1 + \sqrt{(\frac{24}{25})} + \sqrt{\frac{21}{25}} + \frac{4}{5} + \frac{3}{5})\\\\= 0.859[/tex]
calculating the Lower sum value:
Answer:
The upper sum value is 0.8592
The lower sum value is 0.6592.
Step-by-step explanation:
Given information:
The equation [tex]y=\sqrt{1-x^2}[/tex]
And [tex]n=5[/tex]
now, first find derivative of the above equation:
As, [tex]\Delta x=(1/5)\\\Delta x=0.2[/tex]
Now calculate the upper sum value as :
[tex]U=0.2[\sqrt{1-0}+\sqrt{1-0.2^2}+\sqrt{1-0.4^2}+\sqrt{1-0.6^2}]+ \sqrt{1-0.8^2}\\U=0.2\times 4.296\\U=0.8592\\[/tex]
Hence, the upper sum value is 0.8592
Now ,calculate the lower sum value as:
[tex]L=0.2[\sqrt{1-0.2^2}+\sqrt{1-0.4^2}+\sqrt{1-0.6^2}+\sqrt{1-0.8^2}+\sqrt{1-1^2}]\\L= 0.2\times 3.296\\L=0.6592\\[/tex]
Hence, the lower sum value is 0.6592.
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The data below are the temperatures on randomly chosen days during the summer and the number of employee absences at a local company on those days. Construct a 95% prediction interval for y, the number of days absent,
given x = 95 degrees and y= 0.449x - 30.27
Temperature, x 72 85 91 90 88 98 75 100 80
Number of absences, y 3 7 10 10 8 15 4 15 5
Answer:
The critical region is t ≥ t(0.025, 7) = 2.365
Since the calculated value of t= 18.50249 falls in the critical region we reject the null hypothesis and conclude that there is sufficient reason to support the claim of a linear relationship between the two variables.
Step-by-step explanation:
We set up our hypotheses as
H0: β= 0 the two variable X and Y are not related
Ha: β ≠ 0. the two variables X and Y are related.
The significance level is set at α =0.05
The test statistic if, H0 is true, is t= b/s_b
Where Sb =S_yx/√(∑(X-X`)^2 )
Syx = √((∑(Y-Y`)^2 )/(n-2))
In the given question we have the estimated regression line as y= 0.449x - 30.27
X Y X2 Y2 XY
72 3 5184 9 216
85 7 7225 49 595
91 10 8281 100 910
90 10 8100 100 900
88 8 7744 64 704
98 15 9604 225 1470
75 4 5625 16 300
100 15 10000 225 1500
80 5 6400 25 400
∑779 77 68163 813 6995
Now finding the variances
∑(Y-Y`)^2 = ∑〖Y^2- a〗 ∑Y- b∑XY
= 813 – (- 30.27)77 - 0.449(6995)
= 813+2330.79 – 3140.755
= 3.035
∑(X-X`)^2 = ∑X^2 – (∑〖X)〗^2 /n
= 68163 – (779)2/9
= 736.22
Syx = √((∑(Y-Y`)^2 )/(n-2)) = √(3.035/7) = 0.65846 and
Sb =S_yx/√(∑(X-X`)^2 ) = (0.65846 )/27.13337 = 0.024267
t= b/s_b = 0.449/ 0.024267 = 18.50249
The critical region is t ≥ t(0.025, 7) = 2.365
Since the calculated value of t= 18.50249 falls in the critical region we reject the null hypothesis and conclude that there is sufficient reason to support the claim of a linear relationship between the two variables.
Can someone Help plzzzzz??????
Answer:
864
Step-by-step explanation:
let's take side of the cube as C. then volume of the cube will be C^3. we know that C^3 is 1728 inches. so C = 12. total surface area of a cube is 6*C*^2. so that is equal to 6×12×12 = 864
A 36 foot long rope is cut into two pieces, and one of the pieces is twice as large as the other. a. What does the variable 'x' mean in this problem? b. Set up an equation from the problem's description and your variable. c. Find the length of the two pieces of rope.
a.
x - the length of the shorter piece
b.
twice as large means:
2x - the length of the loger piece
so:
x + 2x - the sum of length of pieces {total of rope}
the equation: x + 2x = 36
c.
x + 2x = 36
3x = 36
÷3 ÷3
x = 12 ft
2x = 2×12 = 24 ft
The length of the shorter piece is 12 ft
The length of the loger piece is 24 ft
The type of light waves that living things give off naturally is called O gamma radiation. infrared light. O visible light. O radio waves.
Answer:
Infrared light
Step-by-step explanation:
Infrared cameras capture heat signals from living or warm objects. Body heat is given off as infrared energy; our natural eyes can't see it.
Answer:
Infra-red Light
Step-by-step explanation:
Order the following values from least to greatest |-2| |4.5| -7 3
Answer:
-7, |-2|, 3, |4.5|
Step-by-step explanation:
-7 is the lowest number, since it is a negative. The absolute value of -2, or |-2|, is 2 making it the second lowest. 3 comes next. The absolute value of 4.5 is 4.5, being the greatest number.
Answer:
-7, |-2|, 3, |4.5|
Step-by-step explanation:
First, let's find -2 and |4.5| .
Absolute value of a number is its distance from 0. Remember, absolute value is always zero or positive.
Now, let's use a number line to order the numbers. Numbers to the left are less than numbers to the right.
The values in order from least to greatest is as follows: -7, |-2|, 3, |4.5|.
A local church has a congregation consisting of 480 adult members. The church's administrators would like to estimate the average weekly donation per member per week. A random sample of 65 members was found to have an average donation of $50.40 and a standard deviation of $12.30. The 95% confidence interval to estimate the average weekly donation is ________.
Answer:
The confidence interval = ($47.41, $53.39)
Step-by-step explanation:
Confidence Interval formula
= Mean ± z × Standard deviation/√n
Mean = $50.40
Standard deviation = $12.30
z score for a 95% confidence interval = 1.96
n = 65
Confidence Interval = $50.40 ± 1.96 × $12.30/√65
= $50.40 ± 2.9902293815
Confidence Interval =
$50.40 - 2.9902293815 =
47.409770618
≈$47.41
$50.40 + 2.9902293815 = 53.390229381
≈$53.39
Therefore, the confidence interval = ($47.41, $53.39)
Solve for x. 5x - 4 = -3x + 12
Step-by-step explanation:
5x+3x=12+4
8x=16
x=16÷8
x=2
Answer:
[tex] \boxed{ \bold{ \huge{\boxed{ \sf{x = 2}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{5x - 4 = - 3x + 12}[/tex]
Move 3x to left hand side and change it's sign
⇒[tex] \sf{5x + 3x - 4 = 12}[/tex]
Move 4 to right hand side and change it's sign
⇒[tex] \sf{5x + 3x = 12 + 4}[/tex]
Collect like terms
⇒[tex] \sf{8x = 12 + 4}[/tex]
Add the numbers
⇒[tex] \sf{8x = 16}[/tex]
Divide both sides of the equation by 8
⇒[tex] \sf{ \frac{8x}{8} = \frac{16}{8} }[/tex]
Calculate
⇒[tex] \sf{x = 2}[/tex]
Hope I helped!
Best regards!!
Does this seem as the correct answer?
please help// geometry question
a. Since a line doesn't have endpoint, it doesn't matter which
two points we use to name a line so we could call this line DC.
b. A ray is a figure that starts at and endpoint and continues
forever in one single direction. So a ray here would be ray AB.
c. Opposite rays are two rays that share a common endpoint,
have no other points of intersection, and all points are collinear.
So ray EC and ray ED would be opposite rays.
A) Line names are made using two letters, since line CD passes through E, line CD could be renamed CE
B) a Ray has one end point and goes in one direction. If A is the endpoint, the line goes through point B
The Ray would be AB with an arrow pointing to the right above the letters.
C) Opposite rays create a straight line and have the same point.
Ray ED is opposite EC
can you please help me with this
Answer: A
Step-by-step explanation:
For this problem, we would distribute the outer exponent to each exponent inside. Once we distribute, we multiply the exponents together.
[tex]2^\frac{12}{5} *9^\frac{4}{5}[/tex]
Answer:
When we have exponents (being multiplied) in a parenthesis which also has an exponent, the exponent of the parenthesis gets multiplied by each one of the others. We have to distribute the outer exponent to each exponent inside, like:
[tex](a^n*b^m)^p = a^{n*p}*b^{m*p}[/tex]
If there are numbers but no exponents (inside), it also happens the same, but as the exponent of the parenthesis gets multiplied by 1, we can just put the exponent, like:
[tex](a*b)^p=a^p+b^p[/tex]
So, in our case we have what we have explained: two numbers, one of them with an exponent and the other without it in a parenthesis which also has an exponent, so we multiply that exponent by the ones of the numbers inside the parenthesis.
[tex](2^3*9)^\frac{4}{5}[/tex] = [tex]2^{3*\frac{4}{5}}*9^\frac{4}{5}[/tex] = [tex]2^\frac{12}{5}*9^\frac{4}{5}[/tex]
So the answer is [tex]2^\frac{12}{5}*9^\frac{4}{5}[/tex]
The fastest pizza box folder can assemble 2 pizza boxes in 5 seconds. At this rate, how long would it take to assemble 20 pizza boxes?
Answer:
50 seconds
Step-by-step explanation:
2 boxes in 5 seconds
20÷2=10
10×5=50
50 seconds = 20 pizza boxes
Answer:
50
Step-by-step explanation:
2=5secs
20=?
to make 20 from 2 you do =2×10
so,
5×10=50seconds is the time he would take to assemble 20pizza boxes
Is this the correct answer for a statistical question?
Answer:
yes it think
Step-by-step explanation:
You are correct. A statistical question is one where you apply things like random sampling and averages to answer questions such as choice B. With that many people, there's variability in the height so there isn't one set height. So instead we have an average height.
The other questions are simple straightforward answers that don't require statistics. There isn't any variability in the dataset for these types of questions.
The value of X is:
A)27
B)7
C)5
D)√21
E)√27
Answer:
E.
Step-by-step explanation:
6^2=x^2+3^2
X^2=36-9
X=
[tex] \sqrt{27} [/tex]
Which statement is false?
Some integers are irrational.
Some integers are whole numbers.
Some rational numbers are integers.
Some real numbers are irrational.
Some integers are irrational is false
Answer:
A.) Some integers are irrational
Step-by-step explanation:
Integers are natural numbers, their opposites, and zero. (-2,-1,0,1,2)
Natural numbers, whole numbers, and integers are all rational numbers.
Irrational numbers cannot be written as quotients of integers, and they have decimal representations that do not repeat or terminate ([tex]\sqrt{2},\pi[/tex]).
The other statements are true
What is the cost of x students paying tuition of $2800 each?
Answer:
Total cost of x students tuition = $2,800x
Step-by-step explanation:
Total cost of x students tuition
= Amount of tuition × number of students
Amount of tuition= $2,800
Number of students = x
Total cost of x students tuition
= Amount of tuition × number of students
= $2,800 * x
= $2,800x
Total cost of x students tuition = $2,800x
For example, if there are 2 students in total
Total cost of x students tuition = $2,800x
When x= 2
= $2,800 × 2
= $5,600
Total Cost of students paying tuition of $2,800 each is $5,600
the sum of a number and five is seventeen what is the number?
Which expression is equivalent to the one below?
Answer:
B. [tex]5*\frac{1}{7}[/tex]
Step-by-step explanation:
5÷7 is also [tex]\frac{5}{7}[/tex]--that divided sign is what the fractional bar represents in a fraction.
now multiply [tex]5*\frac{1}{7}=\frac{5}{1}*\frac{1}{7}=\frac{5*1}{1*7}=\frac{5}{7}[/tex]
both are the same result, so your answer is Choice B.
give a counterexample for the statement All square roots are irrational numbers.
Answer:
The square root of 4 is 2(not irrational)
The square root of 100 is 10(not irrational
Step-by-step explanation:
Which sequence of transformations means the image would be congruent to the original figure instead of similar to it?
dilation and rotation
translation and rotation
translation and dilation
reflection and dilation
Answer:
B.) translation and rotation
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the range of the following data set.
A. 1
B. 1 1/8
C. 1 1/4
PLEASE HELP ME I AM IN DIRE NEED OF ASSISTANCE EXTRA POINTS INCLUDED BRAINLIEST GUARANTEED. Explain how to solve 5x − 2 = 8 using the change of base formula log base b of y equals log y over log b. Include the solution for x in your answer. Round your answer to the nearest thousandth.
Answer:
5x - 2 = 8
5x = 8 + 2
5x = 10
x = 10/5
x = 2
Solve the inequality. Enter any fractions as reduced improper fractions. 4x ≤ -2/5(6x + 6) The solution is _____
Answer:
x≤ -3/8
Step-by-step explanation:
[tex]4x\le \:-\frac{2}{5}\left(6x+6\right)\\[/tex]
Expand ;
[tex]\mathrm{Expand\:}-\frac{2}{5}\left(6x+6\right):\quad -\frac{12}{5}x-\frac{12}{5}[/tex]
[tex]4x\le \:-\frac{12}{5}x-\frac{12}{5}\\\\\mathrm{Add\:}\frac{12}{5}x\mathrm{\:to\:both\:sides}\\\\4x+\frac{12}{5}x\le \:-\frac{12}{5}x-\frac{12}{5}+\frac{12}{5}x[/tex]
Simplify
[tex]\frac{32}{5}x\le \:-\frac{12}{5}\\\\Multiply \:both\:sides\:by\:5\\5\times\frac{32}{5}x\le \:5\left(-\frac{12}{5}\right)\\\\Simplify\\32x\le \:-12\\\\Divide \:both\:sides\:by\:32\\\frac{32x}{32}\le \frac{-12}{32}\\\\Simplify\\x\le \:-\frac{3}{8}[/tex]
You are selling cakes at a bake sale for $6.75 each. You spend $86 to buy ingredients and supplies.
There is no charge to have a table at the sale. Write an expression that shows your profit from
selling n cakes. Then find the profit if you sell 25 cakes.
Answer:
Profit from selling n cakes = $6.75n - $86
Profit from selling 25 cakes = $82.75
Step-by-step explanation:
You are selling cakes at a bake sale for $6.75 each.
You spend $86 to buy ingredients and supplies.
Profit from selling n cakes is;
Profit = Selling price - cost price
Profit = $6.75n - $86
Profit for selling 25 cakes is;
Profit = $6.75(25) - $86 = $82.75
16) A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by E'(x) = 10x + 11, where x is the number of days since the start of the job. Find the expenditure if the job takes 5 days. A) $61 B) $6100 C) $180 D) $18,000
Answer:
D) $18,000
Step-by-step explanation:
A company has found that its expenditure rate per day (in hundreds of dollars) on a certain type of job is given by
E'(x) = 10x + 11,
where x is the number of days since the start of the job.
Find the expenditure if the job takes 5 days.
Step 1
We Integrate
E(x) =∫E'(x) dx
=∫[10(x) + 11] in hundreds of dollars
(5x² + 11x + c) in hundreds of dollars
Step 2
(5x² + 11x + c) in hundreds of dollars
x is the number of days since the start of the job.
x = 5
5x² + 11x
[5(5)² + 11(5)] in hundred of dollars
= [5 × 25 + 55] in hundreds of dollars
=[ 125 + 55] in hundreds of dollars
=[180] in hundreds of dollars
Hence the expenditure is 180 in hundreds of dollars
This means, 180 × $100
= $18000
Therefore, the expenditure costs $18,000
Use the given graph to determine the limit, if it exists. (4 points) A coordinate graph is shown with an upward sloped line crossing the y axis at the origin that ends at the open point 3, 1, a closed point at 3, 7, and a horizontal line starting at the open point 3, 3. Find limit as x approaches three from the right of f of x.
Answer:
65x and 32 that your answer
65x and 32 is your answer to the question.
pls help!!!!!!!!! ASAP!!!
i hop ....
i hope
ihope
solution
A jeweler is heating a gold bar. It takes 7 joules of heat to raise the temperature of the bar 1º C. The initial temperature of the bar is 25ºC. Use this information to select the equation that corresponds to the information. y=7x+175y is equal to 7 x plus 175 y=7x−175y is equal to 7 x minus 175 y=25x−7y is equal to 25 x minus 7 y=7x−25
Answer:
[tex]y = 7x - 175[/tex]
Step-by-step explanation:
Given
Initial temperature= 25ºC
Rise = 1ºC
Rate = 7 joules
Required
Determine the equation of the system
Let the final temperature be represented with x and the heat required be represented with y
This question will be solved using the following heat formula
[tex]Heat\ Required = Rate * Change\ in\ Temperature[/tex]
[tex]Heat\ Required = Rate * (Final\ Temperature - Initial\ Temperature)[/tex]
Substitute y for Heat Required; 7 for Rate; x for Final Temperature and 25 for Initial Temperature
[tex]y = 7(x - 25)[/tex]
Open the bracket
[tex]y = 7x - 7 * 25[/tex]
[tex]y = 7x - 175[/tex]
Hence, the equation of the system is
[tex]y = 7x - 175[/tex]
In the number 3,335 how many times greater is the value of the 3 on the left than the 3 on the right
Answer:
(If they were talking about 3,335, then) 100 times greater
(If they were talking about 3,335 then) 10 times greater
Step-by-step explanation:
When you visualize it, ignore the other numbers and think of only the threes.
Count how many spaces/places they are from each other, and that's how many 0s you should put after a 1 as your answer.
Same as decimal moving and multiplying by 10's.
Find the area of the triangle whose base is 12 cm and height is 4 cm.
Answer:
24 square cm
Step-by-step explanation:
[tex]area \: of \: \triangle = \frac{1}{2} \times base \times height \\ = \frac{1}{2} \times 12 \times 4 \\ = 6 \times 4 \\ = 24 \: {cm}^{2} \\ [/tex]