Answers
Answer:
14 ft
Step-by-step explanation:
After the sides are folded up, the depth of the box is 2 ft, so the area of the square bottom is ...
(200 ft^2)/(2 ft) = 100 ft^2
The edge dimension of the bottom is then ...
√(100 ft^2) = 10 ft
Each side adds 2+2=4 ft to the bottom dimension in each direction, so the original square piece of metal was 14 ft square.
Related Questions
In Don Javier's milking, milk is collected in two containers, one with a 300-liter capacity and one with 180 liters, if they are filled with 15 and 20-liter jugs. Which of the pitchers exactly fill the containers without milk being left over or missing?
Answers
Answer:
Both Pitchers
Step-by-step explanation:
First, we determine how many of each pitcher it would take to fill the 300 liter and 180 liter containers.
300÷15=20 of the 15 liter pitcher
300÷20=15 of the 20 liter pitcher
Similarly
180÷15=12 of the 15 liter pitcher.
180÷20=9 of the 20 liter pitcher.
The two pitchers gives a whole number when their volumes divide the volumes of the containers.
Therefore, the two pitchers exactly fill the containers without milk being left over.
Find the value of X in the triangle
Answers
An outside angle is equal to the sum of the two opposite inside angles.
122 = x + 24
X = 122 - 24
X = 98 degrees
Choose an appropriate metric unit for the capacity of a bottle of ink.
Answers
Rayan Company has 420, 000 shares of $ 10 par. 3 value ordinary shares outstanding. During the year Rayan declared a 5% share dividend when the market price of the shares was $ 36 per share. Three months later Rayan declared a $. 60 per share cash dividend. As a result of the dividends declared during the year, retained earnings [* decreased by
Answers
Answer:
The retained earnings decreased by $1,020,600
Step-by-step explanation:
Given that Rayan Company has 420,000 shares of $ 10 par. Rayan then declared a 5% share dividend when the market price of the shares was $36 per share.
Let's calculate the shares issued as stock dividends below:
Issued shares = stock dividends * outstanding shares
= 5% * 420,000
= 21,000
21,000 shares were issued.
Let's calculate the stock dividends.
Stock dividends = issued shares * market price per share
= 21,000 * $36
= $756,000
Stock dividends is $756,000
Let's calculate the amount of cash dividends, since the company declared a $0.60 per share cash dividend after 3 months. We have:
Cash dividend = cash dividend per share * new number of shares.
= $0.60 * (420,000 + 21,000)
= $0.60 * 441,000
= $264,600
Cash dividends paid is $264,600
The find the decrease in retained earnings, we have:
Decrease in Retained earnings = cost of stock dividend + cash dividend.
= $756,000 + $264,600
= $1,020,600
Therefore, the retained earnings decreased by $1,020,600
Pulse rates of adult females are listed in Data Set 1 "Body Data" in Appendix B. The lowest pulse rate is 36 beats per minute, the mean of the listed pulse rates is x = 74.0 beats per minute, and their standard deviation is s = 12.5 beats per minute. a. What is the difference between the pulse rate of 36 beats per minute and the mean pulse rate of the females? b. How many standard deviations is that [the difference found in part (a)]? c. Convert the pulse rate of 36 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between -2 and 2 to be neither significantly low nor significantly high, is the pulse rate of 36 beats per minute significant?
Answers
Answer:
Step-by-step explanation:
Hello!
The variable of interest is
X: pulse rate of a female adult. (beats/min)
Mean X[bar]= 74.0 beats/min
Standard deviation S= 12.5 beats/min
The lowest pulse rate is 36 beats/min
a)
The difference between the lowest pulse rate and the mean pulse for females is: 36 - 74= -38 beats/min
b)
To calculate how many standard deviations a value of the variable is from the mean, you have to subtract the mean from it and divide by the standard deviation:
(X-X[bar])/S= (36-74)/12.5= -3.04
The minimum pulse for female adults is -3.04 standard deviations away from the mean.
c)
The z score for 36 beats/min is -3.04
Considering the region of acceptance (-2; 2), the calculated value is below its lower limit, so you can conclude that the pulse rate 36 beats/min is significantly low.
I hope this helps!
Which phrase represents the algebraic expression 3d+7?
Answers
Answer:
3 multiplied by a variable d and add seven to it
Step-by-step explanation:
3 multiplied by a variable d and add seven to it.
Brainliest to best answer!
Understanding proofs can be challenging for many students. What advice would you
give to a student struggling with these concepts?
Answers
Answer:
take your time and always ask for help when needed
Step-by-step explanation:
also, for other types of proving qn like prove d = 1/2 in an a.p, u can always go back to your basics, which is U1 + d = U2.
but, i would say that as long as u practice a lot of questions u should be able to recognise how to prove the questions
Plot the image of point A under a reflection across the
y-axis.
Answers
Answer:
(-2,5)
Step-by-step explanation:
A reflection across the y axis (x,y)→(−x,y)
Point A is at (2,5) so it becomes (-2,5)
Answer:
(-2,5)
a reflection across the y axis causes for it to basically be reversed along the y axis. meaning if it is at (2,5) then it will be (-2,5)
Line m has no y intercept, and it’s x intercept is(3,0). Line n has no x intercept, and it’s y intercept is (0,-4) the equation of line m is____ , and the equation of line n is ______
Answers
Answer:
x = 3y = -4Step-by-step explanation:
In order for a line to have no y-intercept, it must be parallel to the y-axis. Its equation will be of the form ...
x = constant.
If the x-intercept is (3, 0), then we must have constant = 3.
__
In order for a line to have no x-intercept, it must be parallel to the x-axis. Its equation will be of the form ...
y = constant.
If the y-intercept is (0, -4), then we must have constant = -4.
__
The equation of line m is x = 3.
The equation of line n is y = -4.
Two cyclists, 112 miles apart, start riding toward each other at the same time. One cycles 3 times as fast as the other, and they meet after 4 hours of riding.
a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist.
b. What are the speeds of the two cyclists? Put both values in the answerbox, separated with a comma, and select the appropriate units.
Answers
Answer:
Speed of a= 21 miles/hr
r = Speed of b= 7 miles/hr
Speed of a = 3r
Step-by-step explanation:
The cyclist are 112 miles apart
Time traveled by two = 4 hours
Speed of a = 3 * speed of b
If a cylcles 3 times More than b, then a will cover 3*distance of b
But speed = distance/time
Time = 4hours
Total distance=112
a = 3b
3b + b = 112
4b = 112
b = 112/4
b = 28 miles
a = 3b
a = 3*28
a = 84 Miles
They bought traveled 4 hours
Speed of a = 84miles/4 hours
Speed of a= 21 miles/hr
Speed of b = 28miles/4 hours
Speed of b = 7 miles/hr
7x-3y=4 2x-y=1 the solution to the system of equations is
Answers
Answer:
x = 1 and y = 1
Step-by-step explanation:
7(1) minus 3(1) = 4
and 2(1) minus 1 = 1
just try and guess a number and try to solve the problem with that number, if it isn't the answer then repeat.
Answer: Use the app: photomath
Step-by-step explanation:
I've been stuck on this for a little while now. Could anybody help?
Answers
Answer:
7
Step-by-step explanation:
The arrows on the diagonal lines mean those lines are parallel. That means the triangles are similar, so corresponding sides have the same ratio.
There are many ways we can write the proportion expressing that fact. It is convenient to do so with the variable in the numerator:
(3x -6)/12 = 10/8
Multiplying by 4, we have ...
x -2 = 5
x = 7 . . . . . . add 2
Find the product or type
"impossible".
3 -5 4 2
Answers
Answer:
The product of [tex]\begin{pmatrix}3&-5\\ \:1&7\end{pmatrix}\begin{pmatrix}4&2\\ \:-4&2\end{pmatrix}[/tex] is [tex]\begin{pmatrix}32&-4\\ -24&16\end{pmatrix}[/tex].
Step-by-step explanation:
A matrix is a rectangular arrangement of numbers into rows and columns.
Matrix multiplication refers to the product of two matrices.
The main condition of matrix multiplication is that the number of columns of the 1st matrix must equal to the number of rows of the 2nd one.
To find the product of [tex]\begin{pmatrix}3&-5\\ \:1&7\end{pmatrix}\begin{pmatrix}4&2\\ \:-4&2\end{pmatrix}[/tex]
[tex]\mathrm{Multiply\:the\:rows\:of\:the\:first\:matrix\:by\:the\:columns\:of\:the\:second\:matrix}\\\\\begin{pmatrix}3&-5\end{pmatrix}\begin{pmatrix}4\\ -4\end{pmatrix}=3\cdot \:4+\left(-5\right)\left(-4\right)\\\\\begin{pmatrix}3&-5\end{pmatrix}\begin{pmatrix}2\\ 2\end{pmatrix}=3\cdot \:2+\left(-5\right)\cdot \:2\\\\\begin{pmatrix}1&7\end{pmatrix}\begin{pmatrix}4\\ -4\end{pmatrix}=1\cdot \:4+7\left(-4\right)\\\\\begin{pmatrix}1&7\end{pmatrix}\begin{pmatrix}2\\ 2\end{pmatrix}=1\cdot \:2+7\cdot \:2[/tex]
[tex]\begin{pmatrix}3&-5\\ 1&7\end{pmatrix}\begin{pmatrix}4&2\\ -4&2\end{pmatrix}=\begin{pmatrix}3\cdot \:4+\left(-5\right)\left(-4\right)&3\cdot \:2+\left(-5\right)\cdot \:2\\ 1\cdot \:4+7\left(-4\right)&1\cdot \:2+7\cdot \:2\end{pmatrix}[/tex]
[tex]\mathrm{Simplify\:each\:element}\\\\\begin{pmatrix}3&-5\\ 1&7\end{pmatrix}\begin{pmatrix}4&2\\ -4&2\end{pmatrix}=\begin{pmatrix}32&-4\\ -24&16\end{pmatrix}[/tex]
The function g(x) is a transformation of f(x). If g(x) has a y-intercept of -2, which of the following functions could represent g(x)?
A. g(x) = f(x - 5)
B. g(x) = f(x) - 2
C. g(x) = f(x + 2)
D. g(x) = f(x) - 5
Answers
Answer:
D. g(x) = f(x) - 5
Step-by-step explanation:
To move the intercept to -2, one needs to translate the function down by 5 or left by 5. The first translation (down 5) would result in ...
g(x) = f(x) - 5 . . . . . . matches choice D
The second translation (left 5) would result in ...
g(x) = f(x+5) . . . . doesn't match any available choice
Answer: g(x) = f(x) - 5
Step-by-step explanation:
just took this
Bilal's favorite colors are red and green.
He has 1 red shirt, 1 green shirt, 1 red hat, 1 green scarf, 1 red pair of pants, and
1 green pair of pants.
Bilal selects one of these garments at random. Let A be the event that he selects a green garment and let
B be the event that he chooses a scarf.
Answers
Answer:
P(A∪B) = 1/3
Step-by-step explanation:
Red Garments = 1 red shirt + 1 red hat + 1 red pairs of pants
Total Red Garments = 3
Green Garments = 1 green shirt + 1 green scarf + 1 green pairs of pants
Total Green Garments = 3
The total number of garments = Total Red Garments + Total Green Garments:
3 + 3 = 6
Let A be the event that he selects a green garment
P(A) = Number of required outcomes/Total number of possible outcomes
P(A) = 3/6
Let B be the event that he chooses a scarf
P(B) = 1/6
The objective here is to determine P(A or B) = P(A∪B)
Using the probability set notation theory:
P(A∪B) = P(A) + P(B) - P(A∩B)
P(A∩B) = Probability that a green pair of pant is chosen = P(A) - P(B)
= 3/6-1/6
= 2/6
P(A∪B) = 1/2 + 1/6 - 2/6
P(A∪B) = 2/6
P(A∪B) = 1/3
Answer:
in the khan academy answer is both A and B are dependent on each other.
Find sin(α) and cos(β), tan(α) and cot(β), and sec(α) and csc(β). The hypotenuse is 7 and side is 4.
Answers
The triangle is missing, so i have attached it.
Answer:
1)sin(α) = 4/7
2)cos(β) = 4/7
3)tan(α) = 4/√33
4)cot(β) = 4/√33
5)sec(α) = 7/√33
6)csc(β) = 7/√33
Step-by-step explanation:
(1) sin(α)
From trigonometric ratios, we know that sine of an angle in a right angle triangle = opposite/hypotenuse.
Now, in this question, the opposite side to α is 4 and the hypotenuse is 7. Thus, sin(α) = 4/7
2) cos(β)
Cosine of an angle = adjacent side/hypotenuse.
In the question, the adjacent side to the angle β is 4 and the hypotenuse is 7. Thus, cos(β) = 4/7
3)tan(α)
tan of an angle = opposite/adjacent side. The opposite side to α is 4, but the adjacent side is unknown.
Using the pythagoras theorem,
Adjacent side = √(7² - 4²)
Adjacent side = √(49 - 16)
Adjacent side = √33.
Thus, tan(α) = 4/√33
4) cot(β)
cot of an angle is the reciprocal of tangent of same angle.
The adjacent side to β is 4 while the opposite is √33.
So, tan(β) = (√33)/4
cot(β) = 1/tan(β)
cot(β) = 1/[(√33)/4]
cot(β) = 4/√33
5)sec(α)
sec of an angle is equal to one divided by cosine of that same angle, so it equals hypotenuse divided by the adjacent. The hypotenuse is 7 and the adjacent side to α is √33.
Thus, sec(α) = 1/cosα = 7/√33.
6) csc(β)
Csc of an angle is equal to one divided by sine of same angle, so it equals hypotenuses divided by the opposite. The hypotenuse is 7 and the opposite side to β is √33.
Thus, csc(β) = 1/sin(β) = 7/√33
A middle school band is selling candy bars and nuts to raise money for a field trip. Each candy bar, b, costs $1.50 and each box of nuts, n, costs $4.00. If they raised $418, what expression shows the portion that came from candy bar sales?
Answers
Answer:
1.5b = 418 - 4n (all in dollars)
Step-by-step explanation:
Let b represent the number of candy bars sold and n the number of box of nuts sold.
Given that each;
Candy bar costs $1.50
box of nut $4.00
Amount raised from candy bars = $1.50 × b
Amount raised from box of nut = $4.00 × n
Total amount raised = $418
The equation for the total amount raised is;
1.50 × b + 4.00 × n = 418
1.5b + 4n = 418
The portion that came from candy bars is;
Making 1.5b the subject of formula;
1.5b = 418 - 4n
6. The cost price of a watch is Rs
4000. Find the marked price so
that there would be a profit of 10%
after allowing a discount of 20%.
Answers
Answer:I believe it's C
Step-by-step explanation:
Find the slope of the line that contains the points named.
R(O, 4), S(5,0)
-4/5
4/5
-5/4
Answers
Answer:
[tex] - \frac{4}{5} [/tex]
Step-by-step explanation:
Line is passing through the points R (0, 4), S (5, 0)
[tex]Slope \: of \: RS \\ = \frac{4 - 0}{0 - 5} \\ \\ = \frac{4}{ - 5} \\ \\ = - \frac{4}{5} [/tex]
All else being equal, a study with which of the following error ranges would be
the most reliable?
A. +12 percentage points
B. 117 percentage points
C. +2 percentage points
D. 17 percentage points
Answers
A right triangle has sides of integer lengths a, 40, and 41. Find a.
b) 9
c) 141-140
d) -9
a) 1
e) none of these.
Answers
Answer:
b) 9
Step-by-step explanation:
9 squared + 40 squared = 41 squared, which follows Pythagorean theorem.
Any help would be greatly appreciated
Answers
Answer:
the answer is letter B for ur question
Answer:
A. 44,130
B. 44,100
C. 44,000
Step-by-step explanation:
1-4 round down to 0 do not change the desired place value| 5-9 round the desired place value up by one.
Tens (10) Hundreds (100) Thousands (1000)
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions.
Answers
Answer: B
Step-by-step explanation:
To find the answer, you add the two equations together
Answer:
A. x - 3
Step-by-step explanation:
Set it up like this:
(3x - 2) - (2x + 1)
Combine like terms:
3x - 2 - 2x - 1
3x - 2x = x
-2 - 1 = -3
Put it together:
x - 3
A team averaging 110 points is likely to do very well during the regular season. The coach of your team has hypothesized that your team scored at an average of less than 110 points in the years 2013-2015. Test this claim at a 1% level of significance. For this test, assume that the population standard deviation for relative skill level is unknown.
1. Calculate and print the mean points scored by your team during the years you picked.
2. Identify the mean score under the null hypothesis. You only have to identify this value and do not have to print it.
3. Assuming that the population standard deviation is unknown, use Python methods to carry out the hypothesis test.
4. Calculate and print the test statistic rounded to two decimal places.
5. Calculate and print the P-value rounded to four decimal places.
Answers
Answer:
1. M=108
2. μ=110
3. In the explanation.
4. Test statistic t = -1.05
5. P-value = 0.1597
Step-by-step explanation:
The question is incomplete: to solve this problem, we need the sample information: size, mean and standard deviation.
We will assume a sample size of 10 matches, a sample mean of 108 points and a sample standard deviation of 6 points.
1. The mean points is the sample points and has a value of 108 points.
2. The null hypothesis is H0: μ=110, meaning that the mean score is not significantly less from 110 points.
3. This is a hypothesis test for the population mean.
The claim is that the mean score is significantly less than 110.
Then, the null and alternative hypothesis are:
[tex]H_0: \mu=110\\\\H_a:\mu< 110[/tex]
The significance level is 0.05.
The sample has a size n=10.
The sample mean is M=108.
As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=6.
The estimated standard error of the mean is computed using the formula:
[tex]s_M=\dfrac{s}{\sqrt{n}}=\dfrac{6}{\sqrt{10}}=1.9[/tex]
4. Then, we can calculate the t-statistic as:
[tex]t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{108-110}{1.9}=\dfrac{-2}{1.9}=-1.05[/tex]
The degrees of freedom for this sample size are:
[tex]df=n-1=10-1=9[/tex]
5. This test is a left-tailed test, with 9 degrees of freedom and t=-1.05, so the P-value for this test is calculated as (using a t-table):
[tex]\text{P-value}=P(t<-1.05)=0.1597[/tex]
As the P-value (0.1597) is bigger than the significance level (0.05), the effect is not significant.
The null hypothesis failed to be rejected.
There is not enough evidence to support the claim that the mean score is significantly less than 110.
I need help with this question
Answers
Answer:
A 120 deg
Step-by-step explanation:
The sum of the measures of all angles of a circle is 360 deg.
m<HML + m<LMK + m<KMJ + m<JMH = 360 deg
m<HML = 80 deg
m<LMK = 125 deg
m<KMJ = 35 deg since it's the same measure as the measure of arc KJ.
m<HML + m<LMK + m<KMJ + m<JMH = 360 deg
Now we substitute the values we know.
m<80 deg + m<125 deg + 35 deg + m<JMH = 360 deg
240 deg + m<JMH = 360 deg
m<JMH = 120
Explanation:ok correct answer
Please answer this correctly I want helping hand people to answer this correctly
Answers
Answer:
w = 36
Step-by-step explanation:
You can make a ratio 98 : 84 = 42 : w
[tex]\frac{49}{42}=\frac{42}{w}[/tex]
49w = 1764
w = 36
Express the ratio 16:9 as a ratio to 1.
Answers
Answer:
(16/9):1
Step-by-step explanation:
11. Little Sally Walker has a choice between going to an in-state college where she would pay
$3,500 per year for tuition or an out of state college where she would pay $6,000 per year. The
cost of living at the in-state college is $700 per month in rent. The out of state college is $400
per month in rent. Assuming all the other factors are equal,
a. what is the yearly expense of the in-state college?
b. what is the yearly expense of the out-of-state college?
Answers
Answer:
Step-by-step explanation:
Lets calculate first for in state college
yearly tuition fees = $3,500
monthly living expense = $700
one year has 12 months so yearly living expense =$700 * 12 = $8,400
Yearly expense of the in state college = yearly tuition fees ($3,500 )+ yearly living expense($8,400) = $3,500 + $8,400 = $11,900
____________________________________________________
Lets calculate first for out of state college
yearly tuition fees = $6,000
monthly living expense = $400
one year has 12 months so yearly living expense =$400 * 12 = $4,800
Yearly expense of the out of state college = yearly tuition fees ($3,500 )+ yearly living expense($8,400) = $6,000 + $4,800 = $10,800
____________________________________________________
A recent study reported that 28% of shoppers only review one page when searching online for product information. A random sample of 100 shoppers was randomly selected. What is the probability that between 20 and 30 of these shoppers only review one page when searching online?
Answers
Answer:
68.29% probability that between 20 and 30 of these shoppers only review one page when searching online
Step-by-step explanation:
I am going to use the normal approximation to the binomial to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed samples can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
In this problem, we have that:
[tex]n = 100, p = 0.28[/tex]
So
[tex]\mu = E(X) = np = 100*0.28 = 28[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{100*0.28*0.72} = 4.49[/tex]
What is the probability that between 20 and 30 of these shoppers only review one page when searching online?
Using continuity correction, this is [tex]P(20 - 0.5 \leq X \leq 30 + 0.5) = P(19.5 \leq X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5 subtracted by the pvalue of Z when X = 19.5.
X = 30.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 28}{4.49}[/tex]
[tex]Z = 0.56[/tex]
[tex]Z = 0.56[/tex] has a pvalue of 0.7123.
X = 19.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{19.5 - 28}{4.49}[/tex]
[tex]Z = -1.89[/tex]
[tex]Z = -1.89[/tex] has a pvalue of 0.0294
0.7123 - 0.0294 = 0.6829
68.29% probability that between 20 and 30 of these shoppers only review one page when searching online
4. In an electrical circuit it is known that the voltage V varies as the current I
(ie. that V is directly proportional to 1). It is also known that V = 36
when I = 8.
a Find a formula for V in terms of I.
b Find V when I = 14.
с Find / when V = 27.
Answers
Step-by-step explanation:
V∝I
V=kI
36=k*8
k=36/8
k=4.5
a. V=4.5I
b. V=4.5*14
V= 63
c. 27=4.5I
I=27/4.5
I= 6
