The length of the shadow is changing rate at 2.69 [tex]\frac{ft}{sec}[/tex].
What do you mean by length?
The measurement or size of something from end to end is referred to as its length. To put it another way, it is the greater of the higher two or three dimensions of a geometric shape or object. For instance, the length and width of a rectangle define its dimensions.
According to data in the given question,
We have the given information:
The height of the person is 7 ft.
The person is walking away from the post at a rate of 5ft/sec.
The height of the lamppost is 20ft.
Let the person's distance from the bottom of the light post be x ft.
And his shadow's length is y ft.
Form the similar triangles,
[tex]\frac{x+y}{20}=\frac{y}{7}\\[/tex]
7(x+y) = 20y
7x+7y = 20y
20y-7y = 7x
13y = 7x
y = [tex]\frac{7}{13}x[/tex]
Now, we will differentiating wrt t,
[tex]\frac{dy}{dt}=\frac{7}{13}\frac{dx}{dt}................(1)[/tex]
We know that,
[tex]\frac{dx}{dt}=5\frac{ft}{sec}[/tex]
Putting the value of [tex]\frac{dx}{dt}[/tex] in equation (1),
[tex]\frac{dy}{dt}=\frac{7}{13}.5=\frac{35}{13}=2.69\frac{ft}{sec}[/tex]
Therefore, the length of the shadow is changing rate at 2.69 [tex]\frac{ft}{sec}[/tex].
To learn more about length, visit:
https://brainly.com/question/28537063?referrer=searchResults
#SPJ4
(1 point) find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have distinct digits :
The number of positive integers with exactly four decimal digits that is positive integers between 1000 and 9999 is 4536.
The positive integers between 1000 and 9999 inclusive have 4 digits.
The first digit cannot be zero because otherwise, it will become a digit integer.
So, the first digit can be filled in 9 ways.
The second digit can be filled by 9 different ways.
Because the second digit cannot be the same as that of the first digit but zero can be the second digit.
The third digit can be filled by 8 different ways.
The fourth digit can be filled in 7 different ways.
Number of four decimals digits = 9 * 9 * 8 * 7
= 81 * 8 * 7
= 81 * 56
= 4536 digits.
Learn more about the positive integers here:
https://brainly.com/question/13733829
#SPJ4
how would the test statistic change for the wilcoxon rank sum test for the crickets data if the largest value in the fed group had actually been 100 hrs?
The assumptions of the two-sample t-test for comparing two population means:
1. The two samples are independent of one another.
2. The two populations have equal variance or spread.
3. The two populations are normally distributed.
The Wilcoxon test is based upon ranking the nA +nB observations of the combined sample. Each observation has a rank: the smallest has rank 1, the 2nd smallest rank 2, and so on. The wilcoxon rank-sum test statistic is the sum of the ranks for observations from one of the samples.
The Wilcoxon signed rank test is a non-paracontinuouse-level test, in contrast to the dependent samples t-test.
Wilcoxon tests have about 95% of the power of a t-test if the data really are normal, and are often far more powerful if the data is not, so just use a Wilcoxon.
The Wilcoxon test may produce misleading results if many measurements are the same value. When many values are the same, their relative ranks are the same, and this has the effect of diluting the test.
To know more about test here
https://brainly.com/question/14301858
#SPJ4
5. Find the value of x.
48
8x
Answer:
Step-by-step explanation:
try 6
Answer: 6
Step-by-step explanation: 6 x 8 = 48
b. suppose that the population mean waist size is 85 cm and that the population standard deviation is 15 cm. how likely is it that a random sample of 277 individuals will result in a sample mean waist size of at least 86.3 cm?
The average waist size of the population is 85 cm, and the standard deviation is 15 cm. then A sample mean waist size of at least 86.3 cm has a 0.931 probability of occurring.
We can use the Z-score formula to find the probability.
Z = (86.3 - 85) / (15 / sqrt(277))
Z = 0.2 / 0.106
Z = 1.89
The probability of a sample mean waist size of at least 86.3 cm is 0.931.
Learn more about probability here
https://brainly.com/question/12226830
#SPJ4
ANSWER PLSSSSSS
This scatter plot shows the number of magazines checked out and the number of books checked out.
Choose the statement that is best supported by the data in the scatter plot.
The data shows a negative linear association between the number of magazines checked out and the number of books checked out.
The data shows a negative linear association between the number of magazines checked out and the number of books checked out.
1The data shows a positive linear association between the number of magazines checked out and the number of books checked out.
2The data shows a positive linear association between the number of magazines checked out and the number of books checked out.
3The data shows a non-linear association between the number of magazines checked out and the number of books checked out.
4The data shows no apparent association between the number of magazines checked out and the number of books checked out.
The correct statement regarding the scatter plot is given as follows:
The data shows a negative linear association between the number of magazines checked out and the number of books checked out.
What is the scatter plot?The scatter plot, as shown by the image given at the end of the answer, is a series of points of the data-set in the following format:
(Number of books checked out, Number of magazines checked out).
From the graph, the points are given as follows:
(2,4), (3,6), (4,0), (4,2), (5,7), (6,5), (7,2), (9,1).
Inserting these points into a linear regression calculator, the line of best fit is given as follows:
y = -0.36x + 5.18
Which has a negative slope, meaning that it is a negative linear relationship and the first option is correct.
Missing InformationThe scatter plot is given by the image shown at the end of the answer.
More can be learned about linear relationships at https://brainly.com/question/29613968
#SPJ1
-3(x-4)=-9(x-1) solving linear equations
-3(x-4)=-9(x-1)
-3x+12=-9x+9
-3x+9x=9-12
6x=-3
x= -3/6
x=-1/2
1/2(x-8)+1=2(1/8x-1)
Answer:4
Step-by-step explanation:
distribute 1/2 into x-8 and distribute 2 into 1/8x-1 on other side
1/2x-4+1=1/4x-2
combine like terms
1/4x=1
multiply both sides by 4 to solve x
x=4
directions in attachment!
The answers are 285 and 7392.
Y= -4 cos 5x -10 please answer this someone
The trigonometric function, Y = -4·cos 5·x - 10 is undefined at Y = 0, but the function arranged as Y = -4·cos(5·x - 10) has an x-intercept at x = π/10 + 2
What is a trigonometric function?A trigonometric function indicates the relationship between angles and the lengths of sides of angles.
The specified function can be presented as follows;
Y = -4·co(5·x) - 10
There are two unknown variables
The number of equations is one
The number of equations is less than the number of unknowns, the equation is said therefore, to be undetermined.The function, at Y = 0, can be evaluated as follows;
Y = 0 = -4·co(5·x) - 10
cos(5·x) = 10/(-4) = -2.5
5·x = arccos(-2.5) = Undefined
However, when the function is; Y = -4·cos((5·x) - 10), we get;
At Y = 0
0 = -4·cos((5·x) - 10)
cos((5·x) - 10) = 0/(-4) = 0
5·x - 10 = arccos(0) = π/2
Therefore;
x = (π/2 + 10)/5 = π/10 + 2
(-π/2 + 10)/5
An x-intercept is at x = π/10 + 2
Learn more about trigonometric functions in mathematics here:
https://brainly.com/question/14421002
#SPJ1
Sketch the curve with the given vector equation by finding the following points. (Select Update Graph to see your response plotted on the screen. Select the Submit button to grade your response.)
r(t) = 2 cos(t)i + 2 sin(t)j + k r(0 (x, y, z) = (x, y, z) = -() -C (39) (x, y, z) = (x, y, z) = (Tt) (x, y, z) = (1) (X, Y, 2) = (33) (1) (x, y, z) = (x, y, z) = r(27) (x, y, z) =
(a) residents of a city have monthly incomes (in dollars) that are distributed around an unknown mean, with a standard deviation of 500 dollars. the incomes are recorded for a random sample of 36 residents. an average value of 1500 dollars is obtained. what is the 90%-confidence interval for the population mean estimate?
The 90% confidence interval for the population mean estimate is (1362.9167,1637.0833).
Given that,
n=36 residents
Standard deviation = 500 dollars
Mean u = 1500 dollars
X = 1500 dollars
(1-α)% = 90%
(1-α)= 0.9
α = 0.10
α/2 = 0.05
Z α/2 = Z 0.05
Z α/2 = 1.645
90%-confidence interval for the population mean estimate is
=X ± Z α/2 (σ/√n)
= 1500 ± (1.645)(500/√36)
=(1362.9167,1637.0833)
Therefore, the 90%-confidence interval for the population mean estimate is (1362.9167,1637.0833).
Click here for more information on standard deviation :
brainly.com/question/16555520
#SPJ4
the number 120 is increased by 50%, and the result is then decreased by 30% to give the number x. what is the value of x?
Answer:
x = 126
Step-by-step explanation:
1. 120 + 120(.50) = 180
2. 180 - 180(.30) = 126
compare continuous functions f, g, and h, and match the statements with the function they best describe. drag each description to the correct location on the table. this function has the highest y-intercept.this function is increasing over the longest interval.this function is decreasing over the longest interval.this function has the lowest y-intercept.
From the given properties of the functions,
Function 'f' is decreasing in the longest interval [-0.8, 0.6]Lowest y-intercept → y = -1 (function g)Highest y-intercept → y = 3 (function h)Function 'h' in increasing in the longest interval → (-∞, ∞)Functions given in the picture are 'f', 'g' and 'h'.
From the graph given for function 'f',
y - intercept = 1
Increasing in the interval → (-∞, -0.8] and (0.6, ∞)
Decreasing in the interval → [-0.8, 0.6]
From the table given for the function 'g',
Decreasing in the interval → [-2, 2]
y-intercept = -1
For function 'h',
h(x) = 4x³ + 3
Table of the input-output values for function will be,
x h(x)
-2 -29
-1 -1
0 3
1 7
2 35
Therefore, function 'h' will increase in the interval → (-∞, ∞)
y-intercept → y = 3
Therefore, from these properties of the functions we conclude,
Function 'f' is decreasing in the longest interval [-0.8, 0.6]Lowest y-intercept → y = -1 (function g)Highest y-intercept → y = 3 (function h)Function 'h' in increasing in the longest interval → (-∞, ∞)To know more about Function check the below link:
https://brainly.com/question/13508893
#SPJ4
pretty please can someone answer this for me????? ty
The value of the function f(1)-f(-7) = -11
What is a function?A function from a set X to a set Y assigns to each element of X exactly one element of Y.
Given are a function,
For x = 1, take -x²-3x
f(1) = -1²-3 = -4
For x = -7, take |x+5|-9
f(-7) = |-7+5|-9 = -7
f(1)-f(-7) = -7-4 = -11
Hence, The value of the function f(1)-f(-7) = -11
For more references on function, click;
https://brainly.com/question/21145944
#SPJ1
What is the measure of angle A in this triangle?
Enter your answer in the box.
m∠A=
The measure of angle A in this triangle is 50°.
How to calculate the angle?It is important to note that a triangle has three sides and the total angle is 180°.
Therefore A = 2x - 10
B = 70
C = x + 30
The angles will be illustrated thus:
2x - 10 + 70 + x + 30 = 180
3x + 90 = 180
3x = 180 - 90
3x = 90
Divide
x = 90/3
x = 30
Therefore A will be:
= 2x - 10
= 2(30) - 10
= 60 - 10
= 50°
Learn more about triangles on:
brainly.com/question/17335144
#SPJ1
On 2 May 2000, a man borrowed a sum of money from a bank at 6.5% p.a. simple interest and on 2 September 2000, the interest amounted to $137.50. Calculate the amount of money he borrowed.
The amount of money borrowed by the man from the bank on on 2 May 2000 is $6346.15.
Explain the term simple interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.The formula for calculating simple interest;
SI = P R T/100,
where
P stands for principal, R for rate of interest, and T for time period. Here, the rate (r%) is expressed as r/100, where r% is the percentage rate.In the case of simple interest, the principal is the amount of money that does not change over the course of a year.
Time = 4/12 year
For the given values-
137.50 = P × 6.5 × 4 /1200
P = 137.50 × 1200 / 6.5 × 4
P = $6346.15
Thus, the amount of money borrowed by the man from the bank on on 2 May 2000 is $6346.15.
To know more about the simple interest, here
https://brainly.com/question/25793394
#SPJ1
A daycare center has a weekly revenue of $15,000. The daycare director has created a monthly budget using the following percentages for expenses:
Percent
Employee Wages 40%
Building Rent 5%
Supplies 15%
Equipment 5%
Educational Licensing 2%
Food 13%
Utilities 10%
Maintenance 5%
Emergency/Repair 5%
Which balance sheet correctly represents the daycare's income, expenses, and balance?
A: Income
Amount
Weekly Income $15,000.00
Total Monthly Income $65,000.00
Expenses
Percent Amount
Employee Wages 40% $26,000.00
Building Rent 5% $3,250.00
Supplies 15% $9,750.00
Equipment 5% $326.29
Educational Licensing 2% $1,300.00
Food 13% $8,450.00
Utilities 10% $6,500.00
Maintenance 5% $3,250.00
Emergency/Repair 5% $3,250.00
$65,000.00
Balance
Income $65,000.00
Expenses $65,000.00
Balance $0
B; Income
Amount
Weekly Income $15,000.00
Total Monthly Income $30,000.00
Expenses
Percent Amount
Employee Wages 40% $12,000.00
Building Rent 5% $1,500.00
Supplies 15% $4,500.00
Equipment 5% $1,500.00
Educational Licensing 2% $600.00
Food 13% $3,900.00
Utilities 10% $3,000.00
Maintenance 5% $1,500.00
Emergency/Repair 5% $1,500.00
$30,000.00
Balance
Income $30,000.00
Expenses $30,000.00
Balance $0
C; Income
Amount
Weekly Income $15,000.00
Total Monthly Income $60,000.00
Expenses
Percent Amount
Employee Wages 40% $24,000.00
Building Rent 5% $3,000.00
Supplies 15% $9,000.00
Equipment 5% $3,000.00
Educational Licensing 2% $1,200.00
Food 13% $7,800.00
Utilities 10% $3,000.00
Maintenance 5% $3,000.00
Emergency/Repair 5% $1,500.00
$60,000.00
Balance
Income $60,000.00
Expenses $60,000.00
Balance $0
D; Income
Amount
Weekly Income $15,000.00
Total Monthly Income $67,500.00
Expenses
Percent Amount
Employee Wages 40% $27,000.00
Building Rent 5% $3,375.00
Supplies 15% $10,125.00
Equipment 5% $3,375.00
Educational Licensing 2% $1,350.00
Food 13% $8,775.00
Utilities 10% $6,750.00
Maintenance 5% $3,375.00
Emergency/Repair 5% $3,375.00
$67,500.00
Balance
Income $67,500.00
Expenses $67,500.00
Balance $0
The balance sheet that correctly represents the daycare's income, expenses, and balance is given as follows:
C; Income
Amount
Weekly Income $15,000.00
Total Monthly Income $60,000.00
Expenses
Percent Amount
Employee Wages 40% $24,000.00
Building Rent 5% $3,000.00
Supplies 15% $9,000.00
Equipment 5% $3,000.00
Educational Licensing 2% $1,200.00
Food 13% $7,800.00
Utilities 10% $3,000.00
Maintenance 5% $3,000.00
Emergency/Repair 5% $1,500.00
$60,000.00
Balance
Income $60,000.00
Expenses $60,000.00
Balance $0
How to obtain the balance sheet?The first step in obtaining the balance sheet is obtaining the total monthly income.
The weekly income is of $15,000, while a month is composed by four weeks, hence the monthly income is of:
4 x $15,000 = $60,000.
Then the percentages of each expenses are applied to find the values, for example, 40% of that is for employee wages, hence:
0.4 x 60,000 = $24,000.
From the percentages stated in the problem, 100% of the income is turned into expenses, hence the balance will be of zero and option C is correct.
More can be learned about income and expenses at https://brainly.com/question/29508517
#SPJ1
Before doing laundry, an unlucky student must recover from illness. The number of days the student is ill is determined as follows. We toss a fair coin and we roll a fair 6-sided die. If the coin is heads, the student is ill for n days, where n is the outcome of the die roll. If the coin is tails, the student is ill for 2n days, where n is the outcome of the die roll. What is Ex(u)? Example: If the die roll is 5, the student delays for U = 5 days if the coin toss is heads and U = 10 days if the coin toss is tails.
The student will be out of class for 2n days if the coin comes up tails, where n is the result of the die roll, which the probability will be 25.
An unfortunate student must recover from illness before washing laundry. The following formula is used to calculate the student's illness duration. We roll a fair 6-sided die and toss a fair coin. The student is absent from class for n days if the coin comes up heads, where n is the result of the die roll.
Ex(u) = (1/2)(1/6)*5+(1/2)(1/6)10+(1/2)(1/6)15+(1/2)(1/6)20 + (1/2)(1/6)25+(1/2)(1/6)*30
Probability = 25
Learn more about probability here
https://brainly.com/question/12226830
#SPJ4
If the cos 0 = 5/13 and tan 0 = 12/5, what is sin 0?
Answer:
sin(x) = 12/13
Step-by-step explanation:
cos^(-1)(5/13) = 0.176
tan^(-1)(12/5) = 0.176
sin(0.176 radians) = 12/13
Brainliest, please!a rectangular block of mass m has dimensions as shown. in terms of m, a, b and c, find the rotational inertia of the block about an axis of rotation through one of the corners of the block which is perpendicular to the large faces. b. let m
The answer of the given question is A rectangular block of mass m has an inertia moment of Bh3/3.
What is moment of inertia?When a body resists having the direction of its rotation along an axis changed by the application of a torque, this resistance is referred to as having moment of inertia. There are four types of axes: internal, external, fixed, and moving. It is possible to calculate the moment of inertia (I), which is always expressed in terms of that axis, by adding the results of multiplying each particle's mass by the square of its distance from the axis within the particular body. Moment of inertia is the same as mass in linear momentum when calculating the angular momentum of a rigid body.
To know more about moment of inertia visit:
https://brainly.com/question/15246709
#SPJ4
The American Community Survey (ACS), part of the United States Census Bureau, conducts a yearly census similar to the one taken every ten years, but with a smaller percentage of participants. The most recent survey estimates with confidence that the mean household income in the U.S. falls between . Find the point estimate for mean U.S. household income and the error bound for mean U.S. household income.
the error bound for the mean U.S. household income is +/- $234, while the point estimate is $63179.
A yearly census identical to the one performed every ten years is conducted by the American Community Survey (ACS), a division of the United States Census Bureau, but with a lower participation rate. Since the most recent poll has high confidence that the mean household income in the United States is between, the point estimate for that income is $63179, and the error bound is +/- $234.
Learn more about mean here
https://brainly.com/question/15323584
#SPJ4
Using the factor theorem, which of the polynomial functions has the zeros 2, radical 3 , and negative radical 3 ?.
The polynomial (A) f(x)=x³-2x²-3x+6 has the zeros 2, radical 3, and negative radical 3 thanks to the factor theorem.
What is Factor Theorem?A factor theorem is a tool used in mathematics to thoroughly factor polynomials.
It is a theorem that connects the polynomial's zeros and factors.
The factor theorem states that (x-a) is a factor of f(x) if f(a)=0 and f(x) is a polynomial of degree n 1 and 'a' is any real number.
So, the Factor Theorem states that P(k) must equal zero if (x - k) is a factor of polynomial P(x).
A polynomial function with the zeros 2, 3, and -3 is provided to us. As a result, we can set k = 2, 3, -3.
The Factor Theorem states that P(2), P(3,) and P(-3) must all equal 0.
Tests of each option reveal that only option A is accurate:
f(x) = x³ – 2x² – 3x + 6
Testing each of the three results in:
[tex]\begin{aligned}f(2) & =(2)^3-2(2)^2-3(2)+6 \\& =(8)-(8)-(6)+(6) \\& =0 \stackrel{\checkmark}{=} 0 \\f(\sqrt{3}) & =(\sqrt{3})^3-2(\sqrt{3})^2-3(\sqrt{3})+6 \\& =(3 \sqrt{3})-(6)-(3 \sqrt{3})+6 \\& =0=0 \\f(-\sqrt{3}) & =(-\sqrt{3})^3-2(-\sqrt{3})^2-3(-\sqrt{3})+6 \\& =(-3 \sqrt{3})-(6)+(3 \sqrt{3})+6 \\& =0=0\end{aligned}[/tex]
Therefore, with the help of the factor theorem, polynomial (A) f(x)=x³-2x²-3x+6 has the zeros 2, radical 3, and negative radical 3.
Know more about Factor Theorem here:
https://brainly.com/question/24380382
#SPJ4
Complete question:
Using the Factor Theorem, which of the polynomial functions has the zeros 2, radical 3, and negative radical 3?
a. f(x) = x3 – 2x2 – 3x + 6
b. f(x)= x3 – 2x2 + 3x + 6
c. f(x) = x3 + 2x2 – 3x + 6
d. f(x) = x3 + 2x2 – 3x – 6
Assume that a procedure yields a binomial distribution with a trial repeated n=5n=5 times. Use either the binomial probability formula (or a technology like Excel or StatDisk) to find the probability of k=1k=1 successes given the probability p=p=9/10 of success on a single trial.
(Report answer accurate to 4 decimal places.)
P(X=k)=
By using Binomial Distribution, it can be calculated that -
P(X = 1) = 0.0005
What is Binomial Distribution?
Binomial distribution is a discrete type probability distribution whose probability density function is given by
P(X = x) = [tex]{n \choose x} p^xq^{n - x}[/tex]
Where p is the probability of success and q is the probability of failure
Here, Binomial Distribution of probability is used
k = 1
p = 0.9
q = 1 - 0.9 = 0.1
n = 5
P(X = 1) = [tex]{5 \choose 1} (0.9)^1(0.1)^{5 - 1}[/tex]
= 0.00045
= 0.0005
To learn more about Binomial Distribution , refer to the link-
https://brainly.com/question/9325204
#SPJ4
PLEASE HELP!!!!
Suppose you are developing an Excel spreadsheet that finds the unit
price of any object. You plan to put the number of units in cell E2, and
the price of the object in cell D2.
What formula should you write in cell C2 to find the unit price?
The formula for D2 to be placed in order to find the unit price is D2 = B2/C2.
What is the unit price?
The average price of a product is calculated by dividing the total sales revenue by the total units sold. Managers must define "comparable" units when a single product is sold in variants, such as bottle sizes.
To find the unit price of an object, You divide the price by the Object. We need to find how much an object cost per unit.
Let, us consider an Example we have 50lbs of Kulfi (Object) that cost 8.00 dollars(price).
To find the Unit cost, We take the 8.00 and divide it by 50, which results in 0.16 cents per pound. We can check this by multiplying 0.16 by 50=8.00
So, Object= Number of units in cell = C2
Price of Object = B2
Unit Price Formula = D2
Therefore, by considering the above example.,
Object = C2 = 50
Price = B2 = 8.00
D2 Formula= Price of Object/ Number of Units
Therefore, The formula for D2 to be placed in order to find the unit price is D2 = B2/C2.
To learn more about unit prices, visit:
https://brainly.com/question/14286952
#SPJ4
Zoe goes to a restaurant and the subtotal on the bill was xx dollars. A tax of 5% is applied to the bill. Zoe decides to leave a tip of 15% on the entire bill (including the tax). Write an expression in terms of xx that represents the total amount that Zoe paid.
The expression in terms of x that represents the total amount that Zoe paid is 1.2075x
What is an expression that represents the total amount that Zoe paid?Expression are simply used to illustrate the datathat are given. It should be noted that it's usually represented by the variables given.
From the information, Zoe goes to a restaurant and the subtotal on the bill was x dollars. A tax of 5% is applied to the bill and Zoe decides to leave a tip of 15% on the entire bill.
The expression will be:
= x + (5% × x) + (15% × 1.05x)
= x + 0.05x + 0.1575x
= 1.2075x
Therefore, the expression based on the above will be 1.2075x.
Learn more about expressions on:
brainly.com/question/723406
#SPJ1
approximately what does the box portion of a boxplot display? group of answer choices the upper quarter of the data the middle half of the data the lower quarter of the data the middle quarter of the data
The box portion of a boxplot display the middle half of the data.
We know that a box and whisker plot which is also known as a box plot.
It represents the five-number summary of dataset.
This five-number summary is nothing but the minimum, first quartile, median, third quartile, and maximum.
In box and whisker plot, we draw a box from the first quartile to the third quartile.
In bosplot, the left and right sides of the box are the lower and upper quartiles.
The box covers the 50% of the data is found. It covers the interquartile range.
Therefore, the box portion displays the middle half of the data.
Learn more about the boxplot here:
https://brainly.com/question/11859288
#SPJ4
To lose weight, Kelly reduced her caloric intake from 2000 per day to 1360 per day. What is the percent of decrease in calories
Step-by-step explanation:
2000-1360=640
%change=640/2000×100
=32%
What is the value of x?
1/4 (6x - 2) = x - 2
Answer:
Step-by-step explanation:
0
Answer:
x = 3
Step-by-step explanation:
1/4 (6x - 2) = x - 2
1.5x - 0.5 = x - 2
1.5x = x - 1.5
0.5x = 1.5
x = 3
Could you please give me brainliest for this? Thank you!
how many ways are there to deal hands from a standard playing deck to four players if: (a) each player gets exactly 13 cards. (b) each player gets seven cards and the rest of the cards remain in the deck?
Th number of possible ways for
a) each player gets exactly 13 cards = 52! / (13! 13! 13! 13!)
b) each player gets seven cards and the rest of the cards remain in the deck = 52! / (7! 7! 7! 7! 24!)
In this question, we have been given that there are four players. the select cards from the standard deck of 52 cards.
We need to find the number of possible ways for given situations.
(a) each player gets exactly 13 cards.
Using combination, we get an expression,
^{52}C_13 * ^{39}C_13 * ^{26}C_13 * ^{13}C_13
= 52! / (13! 13! 13! 13!)
= 53644737765488792839237440000
(b) each player gets seven cards and the rest of the cards remain in the deck
Using combination, we get an expression,
^{52}C_7 * ^{45}C_7 * ^{38}C_7 * ^{31}C_7 * ^{24}C_24
= 52! / (7! 7! 7! 7! 24!)
Therefore, a) each player gets exactly 13 cards = 52! / (13! 13! 13! 13!)
b) each player gets seven cards and the rest of the cards remain in the deck = 52! / (7! 7! 7! 7! 24!)
Learn more about combination here:
https://brainly.com/question/28720645
#SPJ4
how to write the expression 12 and
Answer: What is the last part of the question?
Step-by-step explanation:
I can't answer the question because it is incomplete. Sorry :(