Answer:
320
Step-by-step explanation:
LENGTH=40
WIDTH/BREADTH=80
AREA=LXB
=80X40=320
HOPE THIS HELPS YOU.
9514 1404 393
Answer:
244 tiles
Step-by-step explanation:
These "border" problems can be a little tricky.
The tiles are 1 ft square, so an integer number of them fit along each of the sides. The 40-ft side will take 40 tiles for its border, and the 80-ft side will take 80 tiles.
The total number of tiles along each of the four sides is ...
40 + 80 + 40 + 80 = 240 . . . tiles
However, there is also a tile in each of the corners. There are 4 of those, so the total number of tiles surrounding the pool is ...
240 +4 = 244 tiles
__
Alternate solution
For a border of width w, the outside area of the pool plus the border is ...
A = LW = (80 +2w)(40 +2w) = 80·40 +240w +4w²
The area of the pool is ...
A = LW = (80)(40) = 80·40
Subtracting the area of the pool from the total area including the border gives ...
border area = (80·40 +240w +4w²) -(80·40) = 240w +4w²
We know the width of the border is 1 foot, so w=1 and the border area is ...
border area = 240·1 +4·1² = 244 . . . . square feet
Each tile is 1 square foot, so 244 tiles are needed for the border.
_____
It can help to draw yourself a diagram. It can also help to make a small model using blocks, Scrabble tiles, Legos, jigsaw puzzle pieces, squares cut from paper, or even coins (pennies). Anything that will give you an idea of how to count the tiles required to make a border can be helpful.
Retention rates in a weight loss program. Americans spend over $30 billion annually on a variety of weight loss products and services. In a study of retention rates of those using the Rewards Program at Jenny Craig in 2005, it was found that about 18% of those who began the program dropped out in the first four weeks.10 Assume we have a random sample of 300 people beginning the program.
a) What is the mean number of people who would drop out of the Rewards Program within four weeks in a sample of this size? What is the standard deviation?
b) What is the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks?
Answer:
(a)
[tex]\mu=54[/tex]
The standard deviation is
[tex]\sigma=6.6543[/tex]
(b)
[tex]\mu=246\\\sigma=6.6543[/tex]
Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is
[tex]z=-1.73[/tex]
So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is
[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]
Step-by-step explanation:
Let X is a random variable that shows the number of people who would drop out of the Rewards Program within four weeks. Here X has binomial distribution with parameters n = 300 and p = 0.18.
(a)
The mean number of people who would drop out of the Rewards Program within four weeks in a sample of this size is
[tex]\mu=np=300\cdot 0.18=54[/tex]
The standard deviation is
[tex]\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]
(b)
Let Y is a random variable that shows the number of people in the sample who will still be in the Rewards Program after the first four weeks. Here Y has a binomial distribution with parameters n= 300 and p=0.82. So mean of Y is
[tex]\mu=np=300\cdot 0.82=246\\\sigma=\sqrt{np(1-p)}=\sqrt{300\cdot 0.18\cdot 0.82}=6.6543[/tex]
Here sample size is large and np and n(1-p) are both greater than 30. So we can use a normal approximation of binomial distribution. z-score for Y = 234.5 (using continuity correction) is
[tex]z=\frac{Y-\mu}{\sigma}=\frac{234.5-246}{6.6543}=-1.73[/tex]
So the approximate probability that at least 235 people in the sample will still be in the Rewards Program after the first four weeks is
[tex]P(Y\geq 235)=P(Y\geq 234.5)=P(z\geq -1.73)=0.9582[/tex]
Triple XXX Restaurant, a historic and popular diner in West Lafayette, has determined that the chance a customer will order a soft drink is 0.90. The probability that a customer will order a hamburger is 0.60. The probability that a customer will order French fries is 0.50. The restaurant has also determined that if a customer orders a hamburger, the probability the customer will also order fries is 0.80. Determine the probability that the order will include a hamburger and fries.
==========================================================
Explanation:
Define the events
D = person orders a drinkH = person orders a hamburgerF = person orders friesThe given probabilities are
P(D) = 0.90P(H) = 0.60P(F) = 0.50P(F given H) = 0.80The notation "P(F given H)" refers to conditional probability. If we know the person ordered a burger, then it changes the P(F) from 0.50 to 0.80; hence the events H and F are dependent.
----------------------
We want to find the value of P(H and F), which is the same as P(F and H)
We can use the conditional probability formula
P(F given H) = P(F and H)/P(H)
P(H)*P(F given H) = P(F and H)
P(F and H) = P(H)*P(F given H)
P(F and H) = 0.60*0.80
P(F and H) = 0.48
There's a 48% chance someone orders a burger and fries.
dana has already taken 3 pages of notes on her own, and she will take 2 pages durning each hour of class. write an equation that shows the relationship between the time in class h amd the number of pages p.
write your answer as an equation with p first, followed by an equals sign
Answer:
p = 2×h + 3
Step-by-step explanation:
for every hour in class she writes 2 pages.
so, the total number of pages written is 2 times the number of hours in class.
and she had already a starting "offset", a head start if you will, of 3 pages.
so, even if she spends 0 hours in class, she has these 3 pages no matter what.
hence the "+ 3" part.
5 + 3 = 28
9 + 1 = 810
8 + 6 = 214
5 + 4 = 19
then, 7 + 3 = ???
Answer:
410 is the answer
Step-by-step explanation:
subtract the two digits to get the left most digit of the solution. then add the two digits to get remainder of solution.
ex as we know 5-3=2 and 5+3=8 in the given question
5 + 3 = 28
The answer is 410.
How?
A+B =CD
C=(A-B) , D(A+B)
5 + 3 = (5-3)(5+3) = 28
9 + 1 = (9-1)(9+1) = 810
8 + 6 = (8-6)(8+6) = 214
similarly
7 + 3 = (7-3)(7+3) = 410
Help me find the missing number # 9,10 & 12 please thank you
You roll four six-sided die. Find the probability that exactly three of the
dice are odd.
Answer:
3/8
Step-by-step explanation:
There is a 1/2 probability one die will be odd because 1, 3, and 5 are the only possible odd numbers.
Since you want 3/4 of the dice to be odd, you multiply 1/2 by 3/4 to get 3/8.
I believe it is 3/8.
Answer:
9/24 or 3/8
Step-by-step explanation:
3/6 (3 out of the 6 sides are odd)
3/4 (3 out of 4 die)
Multiply together
3/6 * 3/4= 9/24
so 9/24 is the answer... you can simplify it to 3/8.
ur welcome :)
What is the least common denominator out of 1/9 and 2/3
Answer:
9
Step-by-step explanation:
9 is a multiple of 3, so it is the least common denominator
9 factors : 9,18,27,36,45,54, ...
3 factors : 3 , 6, 9, 12, 15, 18, ..
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
how to solve 11/8 ÷ 4/9
[tex]3.09375[/tex] ✅
Step-by-step explanation:
[tex] \frac{11}{8} \div \frac{4}{9} \\ = \frac{11}{8} \times \frac{9}{4} \\ = \frac{11 \times 9}{8 \times 4} \\ = \frac{99}{32} \\ = 3.09375[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Find the value of x
Answer:
x = 25 degree
Step-by-step explanation:
5x + 4 = 8x - 71 (being vertically opposite angle)
5x - 8x = -71 - 4
-3x = -75
x = -75/-3
x = 25
a round cake pan has a diameter of 6 inches which is closest to the area of the bottom of the Pan
A. 20 square inches B. 30 square inches
C. 40 square inches. D. 100 square inches
Answer:
The correct answer is B.
Step-by-step explanation:
The area of the closest answer is 30 since the actual area is 28 square inches.
If JK AND LM which statement is true
Answer:
Perpendicular lines meet at 90 degrees, so JK and LM meeting at 90 degrees is the correct answer.
Step-by-step explanation:
(I know they mean If JK is perpendicular to LM because I saw this question before on brainly.)
Can anyone help pls? Thanks much appreciated
Answer:
x ≈ 5.7
Step-by-step explanation:
Recall, SOH CAH TOA.
We are given:
Reference angle = 35°
Opposite side length to reference angle = 4
Adjacent side = x
To find x, apply the trigonometric equation, TOA, which is:
Tan 35° = Opp/Adj
Substitute
Tan 35° = 4/x
x*Tan 35° = 4
x = 4/Tan 35°
x ≈ 5.7
What is the value of the expression below if y = 5?
35 = (y + 2) + 4
Answer:
11
Step-by-step explanation:
Using GEMDAS
G-Group
E-Exponent
M-Multiplication
D-Division
A-Addition
S-Subtraction
Step 1: Substitute the value y=5 in the equation
35÷(5+2)+4
Step 2: Evaluate the equation by computing first the parenthesis
35÷(7)+4
Step 3: Next divide 35 by 7
(5)+4
Step 4: Add
=9
The answer is 9.
Suppose that you collect a random sample of 250 salaries for the salespersons employed by a large PC manufacturer. Furthermore, assume that you find that two of these salaries are considerably higher than the others in the sample. Before analyzing this data set, should you delete the unusual observations
Answer:
It depends and analysis maybe with the values kept and with the values deleted depending on what we intend to find with the data.
Step-by-step explanation:
When conducting data analysis, a large chunk of time is usually spent trying to ensure that the data is prepared to be used for the require analysis. To ensure this, we tidy up the data by doing the following :
Changing the data format for variables whose units do not conform and so on.
The method of dealing with missing data is essential during data analysis. Missing data may be replaced with the mean value of the observation or completely removed. Based on the scenario, the sample size is 250 ; number of values with unusually high salary values are just 2, hence, removing this values shouldn't pose much of a threat to our data and shouldn't have much effect on the outcome. Hence, removing the Outliers.
Similarly, this unusually high values may signify certain purpose or give certain critical information about the salary and hence may not be deleted
Depending on what we hope to discover from the data, an analysis may be performed
What is a random sample?A simple random sample is a subset of persons picked at random, all with the same probability, from a larger set of individuals. It is a method of choosing a sample at random.
When performing data analysis, a significant amount of work is typically dedicated to making sure the data is ready to be used for the required analysis. We clean up the data in the following ways to make sure of this
changing the data format for variables with non-conforming unit measurements.
During data analysis, the way missing data are handled is crucial. Missing data can either be fully eliminated or replaced with the observation's mean value. According to the scenario, the sample size is 250 there are only 2 values with abnormally high salary values, therefore deleting these values shouldn't constitute significant harm to our data or have a significant impact on the results. thus eliminating the Outliers
learn more about random samples here :
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Solve for m.
13 =2m+513=2m+5
Answer:
m=13
Step-by-step explanation:
Write the equation of the line that has a slope of 2 and passes through the point (-5, 1).
y = 2x - 5
y = 2x + 11
y = 2x + 1
y = 2x + 9
Step-by-step explanation:
= 2x +b
Use the given point (2, 5)
5 = 2(2) +b
b = 5 -4 = 1
The equation of the line is
y = 2x +1
Note general form of the slope-intercept form of a line is y = mx +b, where m is the slope and b is the y-axis intercept
Factorizie completely 2ap+aq-bq-2bp
Answer:
2ap + aq - bq -2bp = (a - b)(2p + q)
Step-by-step explanation:
(2ap + aq) - (bq -2bp)
a(2p +q) -b(q + 2p) [ taking a common from the first, and b from the second]
(2p + q) [a - b] [takin (2p + q)]
(2p + q)(a - b)
The completely factored form of the expression 2ap + aq - bq - 2bp is
(a - b)(2p + q).
In order to completely factorize the given expression, we need to look for common factors and apply factorization techniques.
Given expression: 2ap + aq - bq - 2bp
Step 1: Look for common factors.
Notice that 'a' is common in the first two terms, and '-b' is common in the last two terms.
Step 2: Factor out the common terms.
We can factor 'a' from the first two terms: a(2p + q)
And factor '-b' from the last two terms: -b(q + 2p)
Step 3: Rearrange the expression.
Now we have: a(2p + q) - b(q + 2p)
Step 4: Factor by grouping.
We can see that (2p + q) is common in both terms, so we can factor it out: (2p + q)(a - b)
Step 5: Final result.
Thus, the completely factored form of the given expression is
(a - b)(2p + q).
To know more about Factorize here
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Helppppp ASAPPPPPP TST FULL CREDIT
Answer:
24.
[tex] log_{2}(9) \\ = log_{2}(3) {}^{2} \\ = 3 log_{2}(3) \\ = \frac{3 log(3) }{ log(2) } \\ = 4.75[/tex]
25.
[tex]5. {9}^{x} = 12.48 \\ {9}^{x} = 2.496 \\ x log(9) = log(2.496) \\ x = \frac{ log(2.496) }{ log(9) } \\ x = 0.42[/tex]
26.
[tex]4 + 9. ln(x) = 15.8 \\ ln(x) = \frac{15.8 - 4}{9} \\ ln(x) = 1.311 \\ x = e {}^{1.311} \\ x = 3.71[/tex]
Water runs from a faucet into a bucket at a steady rate. After 4 seconds, there are 32 ounces of water in the bucket. Write an equation that shows the relationship between time and ounces of water. Use t for time in seconds and w for ounces of water.
9514 1404 393
Answer:
w = 8t
Step-by-step explanation:
If we assume that the ounces of water are proportional to the time, then the equation will look like ...
w = kt
for some constant k.
Solving for k, we find ...
k = w/t
Using the given values, we find k to be ...
k = (32 ounces)/(4 seconds) = 8 ounces/second
The units are stated in the definitions of the variables, so we can write the equation as ...
w = 8t
Which of the following is a point-slope equation of a line that passes through the points (-1, 4) and (8,-2)?
A. y-4= -3/2(x+1)
B. y-4= -2/3(x+1)
C. y-4= 2/3(x+1)
D. y-4= -2/3(x-1)
Answer:
B
Step-by-step explanation:
We want to find the point-slope equation of a line that passes through the points (-1, 4) and (8, -2).
Point-slope form is given by:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
So, let's find the slope of the line first. We can use the slope formula:
[tex]\displaystyle m=\frac{\Delta y}{\Delta x}=\frac{-2-4}{8-(-1)}=\frac{-6}{9}=-\frac{2}{3}[/tex]
We can choose (-1, 4) as our point. So, (x₁, y₁) = (-1, 4).
Substitute:
[tex]\displaystyle y-(4)=-\frac{2}{3}(x-(-1))[/tex]
Simplify:
[tex]\displaystyle y-4=-\frac{2}{3}(x+1)[/tex]
Therefore, our answer is B.
What is the completely factored form of this polynomial? 4x^4+12x^2+9
Answer:
(2x^2+3)^2
Step-by-step explanation:
See image below:)
SOLVE ASAP! PLS HELP ME!!!
9514 1404 393
Answer:
A. 2.1
Step-by-step explanation:
Put the numbers in the equation and do the arithmetic.
1/R = 1/(3 1/2) +1/(5 1/4)
1/R = 1/(7/2) +1/(21/4) = 2/7 +4/21 = (6 +4)/21
R = 1/(10/21) = 21/10
R = 2.1
Arrange the steps to solve this system of linear equations in the correct sequence x+y=-2 2x-3y=-9
there you go the correct ans
For the following right triangle, find the side length x . Round your answer to the nearest hundredth.
[tex]\huge\bold{Given:}[/tex]
Length of the base = 9
Length of the hypotenuse = 16 [tex]\huge\bold{To\:find:}[/tex]
✎ The length of the perpendicular ''[tex]x[/tex]".
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
The length of the perpendicular [tex]x[/tex] is[tex]\boxed{±13.229}[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
Using Pythagoras theorem, we have
[tex]({perpendicular})^{2} + ({base})^{2} = ({hypotenuse})^{2} \\ ⇢ {x}^{2} + {(9})^{2} = ({16})^{2} \\ ⇢ {x}^{2} + 81 = 256 \\ ⇢ {x}^{2} = 256 - 81 \\ ⇢x = \sqrt{175} \\ ⇢x = ±13.229[/tex]
[tex]\sf\blue{Therefore,\:the\:length\:of\:the\:perpendicular \:"x"\:is\:±13.229.}[/tex]
[tex]\huge\bold{To\:verify :}[/tex]
[tex]( {13.229})^{2} + ({9})^{2} = ({16})^{2} \\ ⇢ 175 + 81 = 256 \\ ⇢ 256 = 256 \\⇢ L.H.S.=R. H. S[/tex]
Hence verified. ✔
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
A book that is 13 inches tall is leaning against the edge of a wall. If the bottom of the book is 5 inches from the wall, how far up the wall is the top of the book?
[tex]\huge\bold{Given:}[/tex]
Length of the book (hypotenuse) = 13 inches
Distance of the book from the foot of the wall (base) = 5 inches
[tex]\huge\bold{To\:find:}[/tex]
Length of the book on the wall (perpendicular ''[tex]x[/tex]").
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\purple{x\:=\:12\:inches}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
By Pythagoras theorem, we have
(Perpendicular)² + (Base)² = (Hypotenuse)²
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] + (5 in) ² = (13 in)²
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] + 25 in² = 169 in²
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] = 169 in² - 25 in²
[tex]\longrightarrow{\blue{}}[/tex] [tex]{x}^{2}[/tex] = 144 in²
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = [tex] \sqrt{144 \: {in}^{2} } [/tex]
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = [tex] \sqrt{12 \times 12 \: {in}^{2} } [/tex]
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = [tex] \sqrt{ ({12 \: in})^{2} } [/tex]
[tex]\longrightarrow{\blue{}}[/tex] [tex]x[/tex] = 12 in
Therefore, the height of the book on the wall [tex]x[/tex] is 12 inches.
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{☂}}}}}[/tex]
PLEASE HELP ME!! Kevin earns a base salary of $350.00 every week with an additional 12%
commission on everything he sells. If Kevin sold $4950.00 worth of items
last week, what was his total pay?
============================================================
Explanation:
He sold $4950 worth of items. Take 12% of this amount to get
12% of 4950 = 0.12*4950 = 594
So he earns $594 in commission on top of the $350 base salary paid every week. In total, he earns 594+350 = 944 dollars for that week
This isn't the per week pay because he would need to sell exactly $4950 worth of goods each week to keep this same weekly pay.
PLEASE HELP QUICK
Factor out the GCF of 14x4 + 21x2 + 28x
Answer:
14×4+21×2+28=126
Step-by-step explanation:
correct me if I'm wrong
What is the midpoint of the segment shown below?
(-2,4) (6,-4)
A. (3, 0)
B. (1, 0)
C. (4, 0)
D. (2, 0)
a p e x :(
Answer:
answer is option D
Step-by-step explanation:
(-2 , 4) = (x1 , y1)
(6 , -4) = (x2 , y2)
midpoint = (x1 + x2/2 , y1 + y2/2)
=(-2 +6/2 , 4+(-4)/2)
=(4/2 , 0/2)
=(2 , 0)
Pat used unit cubes to build a right rectangular prism with a volume of 32 cubic units. The height of the prism is 4 units. What figure could be the bottom layer of the prism?
Answer:
It must be a rectangle with dimension of either 1 by 8 or 2 by 4
Step-by-step explanation:
V = l*w*h
32 = l*w*4
32/4 = l*w*4/4
8 = l*w
We could have 1*8
We could have 2*4
It must be a rectangle
It must be a rectangle with dimension of either 1 by 8 or 2 by 4
Faisal tries to solve
(x + 2)(x - 7) = 0
Here is his working.
(x + 2) = 0
or
(x - 7) = 0
Answer
x = 2
or
x=7
Give a reason why his answer is wrong.
Answer:
He should have subtracted 2 from each side to find the solution for x+2 =0
Step-by-step explanation:
(x + 2)(x - 7) = 0
Using the zero product property
x+2 = 0 x-7=0
x+2-2=0-2 x-7+7=0+7
x = -2 x=7
He should have subtracted 2 from each side to find the solution for x+2 =0
Step-by-step explanation:
the steps he took are correct but the answer of x is somehow wrong because
(x+2)=0
x = -2
and not x = 2