The probability of the combined event that the next six days are all sunny is 1/4096
How to determine the probability all days being sunny?From the question, we have the following parameters that can be used in our computation:
Probability that it is sunny = 1/4
Probability that it is cloudy = 3/4
Number of days = 6
The probability for all six days, it is sunny is represented as
Probability = Probability that it is sunny^Number of days
Substitute the known values in the above equation, so, we have the following representation
Probability = (1/4)⁶
Express as decimal
Probability = (0.25)⁶
Evaluate the exponent
Probability = 1/4096
Hence, the probability is 1/4096
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nswer the question.
The table shows the amount of fabric needed to make each item of doll clothes. Tamara is making 5 of
Fabric for Doll Clothes
Item Amount of Fabric Needed (feet)
Blouse2/12
Jacket 7/12
Skirt 7/12
How many feet of fabric are needed to make 5 of each item? Move numbers to the boxes to show the answer. If there is no whole number
put a 0 in the first box.
Equation:
5 x (2/12 + 7/12 + 7/12) = f f = amount of fabric needed
Solve:
10/12 + 35/12 + 35/12 = f
80/12 = f
Simplify:
6 8/12
Answer:
Tamara needs 6 ft and 8 inches of fabric to make five of each item.
Will give brainliest
Answer:
The first one is B
The second one is The y intercept is 8
Step-by-step explanation:
Isaiah is trying to buy dry-erase markers for his teachers during teacher appreciation week. He
is able to collect 12 markers a day and started off with 15. How many days will it take him to get
to 135 markers? Make an equation to solve the problem using m for markers and d for days.
Answer:
It will take him 10 days to get to 135 markers.
[tex]d=12m+15[/tex]
Step-by-step explanation:
(attached)
(3.76x 10-8 )-(2.94 x 10-8)
Write your answer in scientific notation
Solve for m.
m+15<−123
Responses
m>−11315
m is greater than negative 1 and 13 over 15
m>−1715
m is greater than negative 1 and 7 over 15
m<−1715
m is less than negative 1 and 7 over 15
m<−11315
and show work
The solution to the inequality is m < −1 13/15 . m is less than negative 1 and 7 over 15
How to solve for the inequalityIn this question we have to solve for the inequality that is given as m + 1/5 < -1 2/3
We would have to rewrite the equation using the math tool
[tex]m +\frac{1}{5}\leq 1\frac{2}{3}[/tex]
The mixed fraction can be properly rewritten as improper fraction
[tex]m +\frac{1}{5}\leq \frac{5}{3}[/tex]
subtract 1/5 from 5/3
[tex]m\leq -\frac{5}{3} -\frac{1}{5}[/tex]
we have to carry out the subtraction of the fraction
[tex]m < \frac{-25-3}{15}[/tex]
[tex]m < \frac{-28}{15}[/tex]
This can be written in mixed fraction as
[tex]m < -1\frac{13}{15}[/tex]
Hence the solution of m is D. m < −1 13/15
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Complete question
m + 1/5 < -1 2/3
Responses
A. m > −1 13/15
m is greater than negative 1 and 13 over 15
B. m > −1 7/15
m is greater than negative 1 and 7 over 15
C. m < −1 7/15
m is less than negative 1 and 7 over 15
D. m < −1 13/15
m is less than negative 1 and 7 over 15
The ratio of brownies to cookies is 3:5. If there are 75 cookies, how many brownies are there?
Group of answer choices
45
15
60
32
Answer:
15:25 or 15 brownies
Step-by-step explanation:
25 / 5 = 5 (scale factor)
3 * 5 = 15
What is the value of Negative 3 squared + (negative 4 + 7) (2)?
–28
–3
3
15
I am on a unit test hurry please
-3^2+(-4+7)(2)
answer = 15
Answer:
15
Step-by-step explanation:
a negative number squared is positive, so its 9 + (-4 + 7)*2. 7-4 is 3, which we then multiply by 2 to get 6. Now add that to 9 to get 15.
Hope this helps!
can you help me with this
The result of the definite double integral over the interval is given as follows:
[tex]\int\int_D f(x,y)dxdy = -120[/tex]
How to solve the double integral?The double integral is solved in two steps, first the inner integral is solved, and then the result of the inner integral is used to calculate the outer integral.
Considering the function and the region, the complete integral in this problem is given as follows:
[tex]\int_{-4}^{2}\int_{-4}^{2} (3x + y)dxdy[/tex]
Then the inner integral in this problem is given as follows:
[tex]I = \int_{-4}^{2} (3x + y)dx[/tex]
We are integrating the variable x, then the variable y is a constant, as thus the result is given as follows:
I = 1.5x² + xy, from x = -4 to x = 2.
Then, applying the Fundamental Theorem of Calculus, the result is given as follows:
I = 1.5(2)² + 2y - 1.5(-4)² + 4y = 6y - 18.
Then the outer integral is calculated as follows:
[tex]O = \int_{-4}^{2} 6y - 18[/tex]
Then the result is given as follows:
O = y² - 18y, from y = -4 to y = 2.
O = (2)² - 18(2) - (-4)² + 18(-4)
O = -120.
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Can someone help me with this?
18=6h+2h pls help me with this answer im not understandin it
Answer:2.25 or 9/4
first we need to add 6h and 2h together, and we get 8h, and we divide 8 both side will get the fraction 18/8 and we can simplify will get 9/4 if you want more simple and will become 2.25
Write a linear function for the graph, and state and interpret the slope and y-intercept for the given scenario:
Water pressure can be measured in atmospheres (atm). Use the infomation in the graph to write an equation that models the pressure (y) at depth (x).
The linear function for the given graph is y = x + 0.1
What is a linear function?
The graph of a linear function is a straight line. The following is the form of a linear function. y = mx + b. One independent variable and one dependent variable make up a linear function. x and y are the independent and dependent variables, respectively.
The coordinates of the given graph are (0,1) and (10,2)
Then, slope (m) = (2-1)/(10-0) = 1/10 = 0.1
y-intercept (b) = 1
Then, y = 1x + 0.1
Hence, the linear function for the given graph is y = x + 0.1
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The perimeter of a rectangle is 54 inches and the length of one of its sides 6 inches. What is the combined length of the other three sides, in feet?
Answer:
4 ft
Step-by-step explanation
the combined length of the other three sides can be found with 54-6 is 48 inches
48 inches can be turned into feet by dividing by 12.
48in / 12=4ft
5. -4h + 3 + Th ≥ 9h - 21
You decide to buy a refurbished computer for $550.00 plus 6% sales tax. BB Electronics allow you to take out a no-interest loan for 12 months, and after that the interest rate is a 13.25% APR. You must make payments of $25/month, and if you miss one payment you are assessed a late fee of $29.00 plus 13.25% APR interest beginning from the date of purchase.
You missed the second payment. What is the amount of interest of the bill you will receive?
The interest on the bill will be calculated as follows:
Amount of Loan = $550
Sales Tax = 6% of $550 = $33
Total Loan = $550 + $33 = $583
Interest = 13.25% APR x $583 = $77.13
Late fee = $29
Total Interest = $77.13 + $29 = $106.13
At as sale, suits were sold for $72 each. This price was 45% of a suits original price. How much did a suit originally cost?
Answer: 1680. The answer is 1680 because 56% of 3000 is 1680 people.
Answer:
The suit orginally costed $160 dollars.
Step-by-step explanation:
Add a term to the expression so that it becomes a perfect square trinomial.
x2-22x +
Answer:
Step-by-step explanation:
is times 43
Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral.
John brings $15 to the candy store. He buys a bag of jelly beans for $4 and plans to buy some chocolate that costs $5 per pound. Write an inequality to solve for all the possible values of x, the number of pounds of chocolate John could buy.
Use the on-screen keyboard to type the inequality that represents this situation in the box below.
Answer:
Step-by-step explanation:
he could buy 2 pounds of chocolates and save $1.
Suppose you go to work for a company that pays one penny on the first day, 2 cents on the second day, 4 cents on the third day and so on.
Hint: use an= a1 (r)^n-1 and Sn= a1 (1-r^n) / 1 - r
A. If the daily wage keeps doubling, what would your income be on day 31? Give your answer in dollars NOT pennies.
Income on day 31 = $ __________
B. If the daily wage keeps doubling, what will your total income be for working 31 days? Give your answer in dollars NOT pennies.
Total Income for working 31 days = $ _________
a. Your income on the 31st day is given as follows: $10,737,418.24
b. Your total income for working 31 days is of: $21,474,836.47
What is a geometric sequence?The definition of a geometric sequence is given as follows:
[tex]a_n = a_1(r)^{n - 1}[/tex]
In which the terms are given as follows:
[tex]a_1[/tex] is the first term.r is the common ratio of the sequence.In a geometric sequence, each term is the multiplication of the previous term by the common ratio.
The sequence in this problem is given as follows:
(0.01, 0.02, 0.04, ...).
Hence the first term and the common ratio of the sequence are given as follows:
[tex]a_1 = 0.01, q = 2[/tex]
Thus the definition is of:
[tex]a_n = 0.01(2)^{n - 1}[/tex]
The income on the 31st day is of:
[tex]a_{31} = 0.01(2)^{30} = 10,737,418.24[/tex]
The sum of the first n terms of a geometric sequence is given as follows:
[tex]S_n = a_1\frac{1 - r^n}{1 - r}[/tex]
Then the sum of the first 31 terms is of:
[tex]S_{31} = 0.01\frac{1 - (2)^{31}}{1 - 2} = 21,474,836.47[/tex]
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Mia is traveling from her house to her sister’s home. She took the bus to the car rental lot and is now driving the rest of the way at a constant rate of speed. What does the -intercept represent in this problem?
the distance (mi) that Mia traveled on the bus to the car rental before she started driving the car
the distance (mi) that Mia traveled from the car rental lot to her sister's home
the amount of time (hr) elapsed for every mile the car travels from the car rental lot
the distance (mi) the car travels from the car rental lot for every 1 hour elapsed
Answer:
The distance (mi) the car travels from the car rental lot for every 1 hour elapsed.
Step-by-step explanation:
Convert 8 weeks into days.
*Note: you must use these exact conversion factors to get this question right.
Answer:56 days
Step-by-step explanation:8 weeks*7 days= 56 days total
Stephen was thinking of a number. Stephen doubles it, then adds 11 to get an answer of 47.7. What was the original number?
The original number in the statement is 18.5
How to determine the original number?The statements in the question are given as:
A number. Doubles the numberAdds 11 to the numberResult = 47.7Let the number be x
So, we have the following equation
2x + 11 = 47.7
Subtract 11 from both sides
2x = 36.7
Divide by 2
x = 18.35
Hence, the number is 18.35
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On Saturday, the Milleman Family had dinner at a restaurant. They ordered 3 pizzas and 2 cheeseburgers for $41.50. The following weekend, the Anderson Family had dinner at the same restaurant where they ordered 2 pizzas and 5 cheeseburgers for $43.25. Which system of equations can be used to determine the cost of one pizza (p) and one cheeseburger (c)?
Answer: $8.64 and $7.79 respectively.
Step-by-step explanation: To determine the cost of one pizza and one cheeseburger, we can set up the following system of equations:
3p + 2c = 41.50
2p + 5c = 43.25
The first equation represents the total cost of the Milleman Family's meal, where 3p represents the cost of 3 pizzas, 2c represents the cost of 2 cheeseburgers, and 41.50 represents the total cost of the meal. The second equation represents the total cost of the Anderson Family's meal, where 2p represents the cost of 2 pizzas, 5c represents the cost of 5 cheeseburgers, and 43.25 represents the total cost of the meal.
By solving this system of equations, we can determine the cost of one pizza and one cheeseburger. For example, we can use the elimination method to solve the system of equations as follows:
First, we can multiply the first equation by 5 and the second equation by 3 to get the following equations:
15p + 10c = 207.50
6p + 15c = 129.75
Next, we can subtract the second equation from the first equation to eliminate the c terms and find the value of p as follows:
15p + 10c = 207.50
6p + 15c = 129.75
9p = 207.50 - 129.75
9p = 77.75
p = 77.75 / 9
p = 8.64
Finally, we can substitute the value of p that we found into one of the original equations to find the value of c as follows:
3p + 2c = 41.50
3(8.64) + 2c = 41.50
25.92 + 2c = 41.50
2c = 41.50 - 25.92
2c = 15.58
c = 15.58 / 2
c = 7.79
Therefore, the cost of one pizza is $8.64 and the cost of one cheeseburger is $7.79.
Find the quadratic equation whose parabola has vertex (3, –2) and y-intercept (0, 16). Give your answer in vertex form, and show your work.
Please Help!!
Answer:
y = 2(x-3)^2-2
Step-by-step explanation:
We can find the quadratic equation by using the vertex form. The vertex form of a quadratic equation is:
[tex]y=a(x-h)^2+k[/tex], where x and y are any point on the parabola, a is the constant (indicating whether the parabola opens up or down), and h and k are the coordinates of the vertex.
Since we already have the y-int (an x and y coordinate lying on the parabola) and the vertex, we can plug in both to find a:
[tex]16=a(0-3)^2-2\\16=a(-3)^2-2\\16=9a-2\\18=9a\\2=a[/tex]
Thus, the equation is:
[tex]y=2(x-3)^2-2[/tex]
A professor had students keep track of their social interactions
for a week. The number of social interactions over the week is
shown in the grouped frequency distribution. Identify the lower
limit of the fifth class.
The lower limit of the fifth class is
(Type a whole number.)
The lower limit of the fifth class for the track of social interactions
for a week is 50.
Explain the term lower limit of the class?The frequency distribution has an upper class limit and a lower class limit for each class.The smallest data point that really can correspond to a class is known as the lower class limit. The largest data object that can be a member of a class, or upper class limit.Allow the class intervals to be 30 - 34, 35 - 39, 40 - 44, 45 - 49, 50 - 54, etc. for some aggregated data.
In this case, the distribution is continuous, and all of the class intervals overlap.
Fifth class ; 50 - 54,
The class boundaries of the range from 50 - 54, 50 is the lower limit while 54 is the upper limit.
Thus, the lower limit of the fifth class for the track of social interactions
for a week is 50.
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You withdraw $375 from your bank account. You receive a stack of 24 bills consisting of $5, $10, and $20 bills. The number of $5 bills is one-half the number of $10 bills. How many of each type of bill do you receive?
The number of $ 5 bills = 3
The number of $ 10 bills = 6
The number of $ 20 bills = 15
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the total amount be = $ 375
Let the total number of bills = 24
Let the number of $ 5 bills be = x
Let the number of $ 10 bills be = y
Let the number of $ 20 bills be = z
The total number of $ 5 bills x = ( 1/2 ) x number of $ 10 bills
So , x = y/2
Now , the equation will be
The total number of bills = x + y + z
So , x + y + z = 24 be equation (1)
And ,
The total amount = 5x + 10y + 20z
So , 5x + 10y + 20z = 375
Divide by 5 on both sides , we get
x + 2y + 4z = 75 be equation (2)
On simplifying equation (1) and equation (2) , we get
x + y + z = 24
Substituting the value of y , we get
x + 2x + z = 24
3x + z = 24 be equation (3)
And ,
x + 2y + 4z = 75
x + 4x + 4z = 75
5x + 4z = 75 be equation (4)
Multiply equation (3) with 4 , we get
12x + 4z = 96 be equation (5)
Subtract equation (4) from equation (5) , we get
7x = 21
Divide by 7 on both sides , we get
x = 3
Therefore , the number of $ 5 bills is 3
Substitute the value of x , we get
y = 2x
y = 6
Therefore , the number of $ 10 bills is 6
Substitute the value for x and y in equation (1) , we get
x + y + z = 24
3 + 6 + z = 24
z + 9 = 24
Subtract 9 on both sides , we get
z = 15
Therefore , the number of $ 20 bills is 15
Hence ,
The number of $ 5 bills = 3
The number of $ 10 bills = 6
The number of $ 20 bills = 15
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describe the sampling of p hat. Assume that the size of the population is 25000 n= 300 p=0.7
The mean of the given sample data is 210, and the standard deviation is 7.937.
Given size 'n' = 300
The population proportion 'p' = 0.7
Let 'x' be the random variable of the binomial distribution
a) mean of the binomial distribution = n p = 300 × 0.7
μ = 210
b) variance of the binomial distribution
⇒ n p q
⇒ 300 × 0.7 ×0.3
⇒ σ² = 63
The standard deviation of the binomial distribution:
⇒ √n p q = √63 = 7.937
Thus, the mean of the given sample data is 210, and the standard deviation is 7.937.
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The question seems to be incomplete the correct question would be:
describe the sampling of p hat. Assume that the size of the population is 25000 n= 300 p=0.7 a) Determine the mean of the sampling distributionb) Dtermine the standard deviation of the sampling distribution
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Answer:
-5
Step-by-step explanation:
y (4) need to times 2.5 to be 10
so, x (-2) needs to times 2.5 to be the answer
-2 * 2.5 = -5
Which expression is equivalent to 27 + 63 ? 3(9 + 18) 9(3 + 7) 21(7 + 3) 7(21 + 9)
Which expression is equivalent to 27 + 63 ?
3(9 + 18)
9(3 + 7)
21(7 + 3)
7(21 + 9)
PLEASE SHOW ALL STEPS AND EXPLAIN
The greatest common factor will be 8.
What is common factor? What is a mathematical equation? What is Probability?A common factor is a whole number which is a factor of two or more numbers. The highest common factor (HCF) is the greatest factor that will divide into two or more numbers. The lowest common multiple (LCM) is the smallest multiple that is common to two or more numbers.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.We have three numbers 24, 56 and 72.
The factors of 24 are : 1, 2, 3, 4, 6, 8, 12, 24
The factors of 56 are : 1, 2, 4, 7, 8, 14, 28, 56
The factors of 72 are : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Therefore, the greatest common factor will be 8.
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