The ratio of the number of days that do not begin with the letter T should be Based on the probability of the week = 5:7.
The following information should be used to solve this problem :
We know that there are 7 days a week.
Monday, Tuesday, Wednesday, Thursday, Friday Saturday, Sunday
There are two days on which the beginning letter is started by T i.e. Thursday and Tuesday.
And, there are 5 days that are started with different letters.
Monday, Wednesday, Friday Saturday, Sunday
Probability :
The probability of an event can be calculated by the probability formula by simply dividing the favorable number of outcomes by the total number of possible outcomes.
P(A) = n(A)/n(S)
Where,
P(A) is the probability of an event “A”
n(A) is the number of favorable outcomes
n(S) is the total number of events in the sample space
P(A) = the number of favorable outcomes/ the total number of events in the sample space
= 5/7
Based on the above information, the ratio should be 5:7
Therefore
we can conclude that the ratio of the number of days that do not begin with the letter T should be 5:7.
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Is the sum of two binominals is always a binomial? Why or why not?
Answer:
No
Step-by-step explanation:
Algebraic Terms:
1. Monomial - an algebraic term
2. Binomial - the sum of 2 algebraic terms
3. Trinomial - an algebraic sum in 3 terms
4. Polynomial - a function in more than 1 algebraic term
The sum of 2 binomials is not always a binomial because each of the two binomials might have different algebraic terms.
If the first binomial has 2 algebraic terms and the second binomial has 2 other algebraic terms and no single term crosses out its coefficients, the sum of both binomials will not be a binomial.
On a construction site, a winch is used to wind cable onto the drum of the winch
Solution
Formula
\(P=\frac{K}{D}\)Given parameters
\(\begin{gathered} P=8400 \\ D=3 \end{gathered}\)\(3in\text{ =0.25foot}\)Now, substitute the given parameters into the formula
\(\begin{gathered} 8400=\frac{K}{3} \\ \\ K=8400\times0.25 \\ K=2100 \end{gathered}\)The final answer
2100 foot -pounds
(9) There are 18 elephants in a herd. The number of adult elephants is two times the number of young elephants in the herd. How many adult elephants are in the herd?
Answer:
6
Step-by-step explanation:
6 + (6x2) = 18
I just took random numbers from 1 -10 so no clear explanation. I am really sorry!!
ms. simonaue and Mrs. law are racing in the big race. Their distance in meters and their time is measured in seconds. Ms. Simonaue ride is described in the equation.
\(y = \frac{3}{2} x + 4\)
what is the description to match the equation. what is her rate? did she get a head start?
Answer:
She started 4 meters ahead and moves forward 1.5 meters every second.
The rate is 1 and 1/2 meters per second and she did get a head start of 4 meters
What formula can we use to find the surface area of a rectangular prism?
Answer:
○ \(\displaystyle SA = 2lw + 2lh + 2wh\)
Explanation:
A rectangle has four right angles, including two pairs of congruent edges, only containing two dimensions – height and length. Therefore, going three-dimensional, a rectangular prism has three dimensions – width, height, length. With this information, you should know what the answer is.
I am joyous to assist you at any time.
3) Sarah wants to buy a snowboard that has a total cost of $580, including tax. She has already
saved $135 for it. At the end of each week, she is paid $96 for babysitting and is going to save
three-quarters of that for the snowboard.
a) Write an inequality that can be used to determine the minimum number of weeks Sarah
needs to babysit to have enough money to purchase the snowboard.
b) Determine and state the minimum number of full weeks Sarah needs to babysit to have
enough money to purchase the snowboard.
Step-by-step explanation:
A) Let X= the number of weeks 46 times 3/4 = 72. And 135+72 x >_ 580
B) 135+72 x >_ 580. 580-135. 72/72 >_ 445/72
x >_ 6.2
She must work a minimun of 7 weeks to get $580.
The minimum number of weeks Sarah
needs to babysit to have enough money to purchase the snowboard is 135 + 72w ≥ 580
Given:
Total cost of snowboard = $580
Amount saved already = $135
Amount paid for baby sitting = $96
Amount saved from babysitting = 3/4 × 96
= 0.75 × 96
= $72
let
number of weeks = w
The inequality:
135 + (72 × w) ≥ 580
135 + 72w ≥ 580
Solve for w
135 + 72w ≥ 580
72w ≥ 580 - 135
72w ≥ 445
w = 445 / 72
w = 6.1805555555555
Approximately, 6 weeks
Therefore, the minimum number of full weeks Sarah needs to babysit to have
enough money to purchase the snowboard is 6 weeks
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HelloI need help with a problemSimplify the expressionv^3+125/v^2-25
We are given the following expression:
\(\frac{v^3+125}{v^2-25}\)To simplify the expression we will factor the numerator and denominator. To factor the numerator we will use the following:
\((a^3+b^3)=(a+b)(a^2-ab+b^2)\)Applying the formula we get:
\(\frac{v^{3}+125}{v^{2}-25}=\frac{(v+5)(v^2-5v+25)}{v^2-25}\)Now, we will factor the denominator using the following:
\((a^2-b^2)=(a+b)(a-b)\)Applying the rule we get:
\(\frac{(v+5)(v^2-5v+25)}{v^2-25}=\frac{(v+5)(v^2-5v+25)}{(v+5)(v-5)}\)Now, we can cancel out the "v + 5", and we get:
\(\frac{(v+5)(v^2-5v+25)}{(v+5)(v-5)}=\frac{v^2-5v+25}{v-5}\)and thus we get the simplified form of the expression.
Find the area of this circle.Use 3.14 to approximate 7.A = 7r220 ftA = [?] ft2
The area, A of a circle is given by the formulae below:
\(A=\pi r^2=\frac{\pi d^2}{4}\)where:
A = area
r = radius = 0.5 x diameter = 0.5 x 20 = 10ft
d= diameter = 2ce the value of the radius = 20ft
This gives A to be
\(\begin{gathered} A=\pi\times10^2 \\ A=3.14\times100=314ft^2 \end{gathered}\)Area of the circle = 314 sq ft
A rectangular piece of paper with length 34cm and width 14cm has two semicircles cut out of it. Find the area of the paper that remains. Use the value 3.14 for PIE , and do not round your answer.
Answer:
Step-by-step explanation:
322.14 cm²
Find the P-value for a test of the claim that less than 50% of the people following a particular diet will experience increased energy. Of 100 randomly selected subjects who followed the diet, 47 noticed an increase in their energy level.
Answer
the answer is 0.2743 please show work
The p-value for the given information is 0.247.
The p value refers to a number which is calculated from a statistical test and describes how likely a researcher is to have found a particular set of observations if the null hypothesis were true.
According to the provided information,
Sample size, n = 100
Sample proportion p’ = 47/100 = 0.47
The null hypothesis is: H0 - p = 0.5
The alternative hypothesis is: Ha - p > 0.5
Probability to be tested p = 0.5
Standard deviation = √p(1 – p)/n = √0.5(1 - 0.5)/100 = 0.05
z-test statistics is given by
z = (p’ – p)/σ = (0.47 – 0.5)/0.05 = - 0.6
From the table,
P value = 0.247
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PLEASE HELP!!!!!!!!!!!!!!!!!!!
What are the values of a, b and c for the following equation:
2x2 +9x = 18
When you are making a three-point turn, the first things you must do are
A: Start in the middle of the road, and sharply turn left.
B: Drive as far to the left as you can, then sharply turn right.
C: Move as far to the right as possible, check traffic, and signal a left tum.
Answer:
The correct answer is C.
Step-by-step explanation:
By moving the farthest to the right, you are giving yourself and your vehicle more space to make the safest possible turn.
The bill at a restaurant came to $136.40. The patrons decide to leave a 15% tip. What was the total bill including tip?
Answer:
156.86
Step-by-step explanation:
We start by dividing 136.40 by 100 so we can figure how much 1 percent,(1.364) once we have that we multiply by 15 (20.46), we add that to the total
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
The graph of the rational equation is solved and f ( x ) = 1/ ( x + 2 ) ( x - 5 )
Given data ,
Let the function be represented as f ( x )
Now , the value of f ( x ) is
f ( x ) = 1/ ( x + 2 ) ( x - 5 )
The function will have increasingly large values as the denominator approaches zero. When x -2, the denominator is positive and the function tends to the upside. When x -2 x 5, the function is negative. When x 5, the function becomes positive once more.
Hence , the rational function is f ( x ) = 1/ ( x + 2 ) ( x - 5 )
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The complete question is attached below :
Which of the following rational functions is graphed below?
A. F(x) =(x-2)/(x+5)
B. F(x) =1/(x-2)(x + 5)
C. F(x) =1/(2x + 5)
D. F(x)= 1/(x+2)(x-5)
What graph would best display the data shown in the frequency table?
A. line plot
B. vertex-edge graph
C. histogram
D. stem-and-leaf graph
Answer:
histogram
Step-by-step explanation:
Can someone help please?
ASAP
Answer:
Angle A = tan^-1(11/5)
Angle C = 90 - tan^-1(11/5)
AC = sqrt(146)
Step-by-step explanation:
As this is a right triangle, we can apply the Pythagorean theorem a^2 + b^2 = c^2, where c is the hypotenuse while a and b are the legs, to solve for AC.
11^2 + 5^2 = AC^2
121 + 25 = AC^2
146 = AC^2
sqrt(146) = AC^2
Next, to find angle A, we can use one of the trigonometric functions. Let’s use tangent for simplicity. Tangent of an angle is “opposite divided by adjacent”. If we set the angle to A, opposite is side BC and the adjacent is side AB. Thus, tan(A) = 11/5 and tan^-1(11/5) = A.
Since the sum of angles in a triangle is 180, we can find angle C by setting up this equation: C = 180 - 90 - tan^-1(11/5), which is 90 - tan^-1(11/5)
Match the later drop-down
1) The expression 2⁻ˣ⁺³ = 3 is matched with graph B.
2 The expression 3ˣ⁺¹=3 is matched with graph C.
3) The expression 4ˣ = 3 is matched with graph
4 ) The expression 1ˣ/4 = 3 is matched with graph
What is the explanation for the above?1) The graph of the expression 2⁻ˣ⁺³ = 3 represents an exponential function where the y-coordinate is 3 when the base 2 raised to the power of (-x+3).
2) The graph of the expression 3ˣ⁺¹=3represents an exponential function where the y-coordinate is 3 when the base 3 raised to the power of (x+1). This graph is a straight line with a slope of 1.
3) The graph of the equation 4ˣ = 3 represents an exponential function where the base 4 raised to the power of x is equal to 3. This equation has a single solution, which can be determined using logarithms.
4) The graph of the expression 1ˣ/4 = 3 represents an exponential function where the base 1 raised to the power of (x/4) is equal to 3.
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Find two positive numbers whose difference is 14 and whose product is 1976
The positive numbers that the difference is 14 and the product is 1976 are 38 and 52.
How to find the positive numbers?The difference of the positive numbers is 14 and the products of the positive numbers is 1976.
The positive numbers are the numbers that are greater than zero.
Positive numbers includes fractions, In general, positive numbers are natural counting numbers.
Therefore,
let the numbers be x and y
Hence, the difference of the positive numbers is 14.
x - y = 14
The product of the positive numbers is 1976. Therefore,
xy = 1976
Make x the subject of the formula in equation(ii)
x = 1976 / y
Substitute the value of x in equation(i)
1976 / y - y = 14
14y = 1976 - y²
solve the quadratic equation formed.
y² + 14y - 1976 = 0
Hence,
y² - 38y + 52y - 1976
y(y - 38) + 52(y - 38)
(y - 38)(y + 52)
Therefore,
y = 38 and y = -52
The number is positive .
Therefore, we can only use 38.
y = 38
Substitute the value of y in equation(i)
x - 38 = 14
x = 14 + 38
x = 52
Therefore, the positive numbers are 38 and 52.
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The difference of a and b is added to 4.solve it
Step-by-step explanation:
The difference of a and b is added to 4
(a-b)+4CoursesUse Pythagorean theorem to find right triangle side lengthsess BosseFind the value of x in the triangle shown below.file13>1 3ASC4AsMYCoiTATUSChoose 1 answer:MY= 2= 2ProPro2 = 5Tea= 15x= 17
SOLUTION
We will use the Pythagorean theorem to solve the question below.
From the Pythagorean theorem
\(\text{hypotenuse}^2=opposite^2+adjacent^2\)Hypotenuse is the longest side. And here, it represents
\(x\)So this means that
\(\begin{gathered} x^2=4^2+1^2 \\ \\ x^2=(4\times4)+(1\times1) \\ \\ x^2=16+1 \\ \\ \text{square root both sides } \\ \\ \sqrt[]{x^2}=\sqrt[]{17} \\ \\ x=\sqrt[]{17} \end{gathered}\)INDEPENDENT PRACTICE 3. Teresa makes a circular pizza with a 14-inch diameter. Which is the approximate area of her pizza? A. 43.96 in? B. 87.92 in2 C. 153.86 in2 D. 615.44 in?
A. 43.96in?
Step_by_step explanationCold weather can be especially hard on Sadie's grandfather, so Sadie is knitting him a striped scarf for his birthday. The scarf is almost finished when Sadie discovers a mistake! She has to unravel 0.75 of the scarf, and now the remaining part is only 4.75 long. Use an equation to find the length of the scarf before it's unraveled.
Length of scarf before unraveling = 4.75 + 0.75 = 5.5.
Equation: Length before unraveling = 4.75 + 0.75
Sadie is knitting a striped scarf for her grandfather for his birthday, but discovers a mistake and has to unravel 0.75 of the scarf. After unraveling, the remaining part of the scarf is 4.75 long. To calculate the length of the scarf before it was unraveled, we can use an equation. The equation we will use is Length before unraveling = 4.75 + 0.75. We can interpret this equation as the length before unraveling being equal to the length after unraveling plus the amount unraveled. Therefore, the length of the scarf before unraveling is 4.75 + 0.75, which is equal to 5.5. This equation is useful for finding the original length of the scarf, as it takes into account the amount that was unraveled. Therefore, the original length of the scarf is 5.5.
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center (-4, -7), tangent to x = 2
Answer:
(x + 4)^2 + (y + 7)^2 = 36
Step-by-step explanation:
The given information describes a circle with its center at (-4, -7) and tangent to the vertical line x = 2. To determine the radius of the circle, we need to find the distance between the center and the tangent line.
The distance between a point (x1, y1) and a line Ax + By + C = 0 is given by:
d = |Ax1 + By1 + C| / sqrt(A^2 + B^2)
In this case, the equation of the line is x = 2, which can be written as 1x + 0y - 2 = 0. Therefore, A = 1, B = 0, and C = -2. The center of the circle is (-4, -7), so x1 = -4 and y1 = -7. Substituting these values into the formula, we get:
d = |1*(-4) + 0*(-7) - 2| / sqrt(1^2 + 0^2)
d = |-6| / sqrt(1)
d = 6
Therefore, the radius of the circle is 6 units. The equation of a circle with center (h,k) and radius r is given by:
(x - h)^2 + (y - k)^2 = r^2
Substituting the values we have found, we get:
(x + 4)^2 + (y + 7)^2 = 36
This is the equation of the circle that satisfies the given conditions.
If f(x)=x^3-4x^2-25x+28f(x)=x 3 −4x 2 −25x+28 and x-7x−7 is a factor of f(x)f(x), then find all of the zeros of f(x)f(x) algebraically.
9514 1404 393
Answer:
x = {7, 1, -4}
Step-by-step explanation:
Dividing the given factor from the polynomial using synthetic division, we get ...
f(x) = (x -7)(x^2 +3x -4)
Factoring the quadratic* gives ...
f(x) = (x -7)(x -1)(x +4)
The zeros are the values of x that make these factors be zero:
x = {7, 1, -4}
_____
* The constants in the binomial factors are factors of -4 that have a sum of +3. Those are (-1)(4) = -4. -1+4 = 3.
Write a recursive formula and an explicit formula for the following arithmetic sequence.
11, 13, 15, 17, 19, ...
A recursive formula is a = INan=.
(Simplify your answers.)
An explicit formula is an =
(Simplify your answer.)
Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
11, 13, 15, 17, 19, ...
Determining the Recursive formula:
We know that a recursive formula is termed as a formula that specifies each term of the given sequence using the preceding terms.
From the given sequence it is clear that every term can be obtained by adding two to the previous term.
i.e. 13 = 11+2, 15 = 13+2, 17 = 15+2, 19 = 17+2
so
aₙ₊₁ = aₙ+2, for n ≥1
Therefore, a recursive formula is:
aₙ₊₁ = aₙ+2, for n ≥1Determining the Explicit formula:
Given the sequence
11, 13, 15, 17, 19, ...
An arithmetic sequence has a constant difference 'd' and is defined by
\(a_n=a_1+\left(n-1\right)d\)
computing the differences of all the adjacent terms
\(3-11=2,\:\quad \:15-13=2,\:\quad \:17-15=2,\:\quad \:19-17=2\)
The difference between all the adjacent terms is the same and equal to
\(d=2\)
also
\(a_1=11\)
so substituting \(d=2\), \(a_1=11\) in the nth terms
\(a_n=a_1+\left(n-1\right)d\)
\(a_n=2\left(n-1\right)+11\)
\(a_n=2n+9\)
Therefore, the Explicit formula is:
\(a_n=2n+9\)
the updated forecast for the amazon sales accounting for trend, seasonality and adjusted for the serial correlation using the ar(1) model is: billion dollars. if the answer is 75.2432 billion dollars just type 75.243 keep at least 3 decimal places for all parts of your calculation. record your answer with at least 3 decimal places.
The linear regression equation for a linear trend and seasonality is
Response Revenues = 97.651
Decimal=The decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation.
The linear regression equation for a linear trend and seasonality is
Response Revenues = 22.67+2.538 Time period -10.44 * Q(1)
he variable time period is coded in the following way: Start with t = 1 for Quarter 3 of 2013, t = 2 for Quarter 4 of 2013, The value of t will increase by 1 for each subsequent quarter. In this example we have created indicator variables for Quarters 1, 2 and 3. Quarter 4 is the base level
he Updated forecast for the Amazon Sales for Quarter 3 of 2021 accounting for Trend, Seasonality and Adjusted for the Serial Correlation using the AR(1) model is given by
Response Revenues = 22.67+2.538 Time period - 10.44 Q(1)
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The owner of a deli recorded the number of customers who ordered each of four sandwiches available if the deli has 50 customers the first hour it is open predict how many customers will order turkey sandwiches
The first hour there will be 18 costumers that will order Turkey sandwiches
Probability
First, we want to find the probability of having a costumer who choose Turkey sandwich.
In order to find it, we calculate the ratio of turkey sandwiches over the total number of orders.
Turkey sandwiches: 180
Total number of orders: 160 + 100 + 180 + 60 = 500
Ratio = turkey / total
Ratio = 180 / 500 = 0.36
Then, the probability of having a costumer who choose Turkey sanwich is
P(T) = 0.36 = 36%
Secondly, in order to find the 36% of 50, we just multiply 0.36 by 50:
Hence , the first hour there will be 18 costumers that will order Turkey sandwiches
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Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per hour. The westbound train travels at 85 miles per hour. How long will it take for the two trains to be 384 miles apart?
Do not do any rounding.
Let the time = x
Distance = Speed x time
One train is 75x, the other train 85x
Add together to equal total distance:
75x + 85x = 384
Simplify:
160x = 384
Divide both sides by 160:
x = 384 / 160
x = 2.4 hours
figure below represents a floor covered with white tiles and gray tiles. KEY = 1 square unit Which expression could be used to find the area, in square units, of the entire floor? A (12+7) x (12+7) B (12 × 7) + (12 × 7) X (10+7) x (2+7) (10 × 7) + (2 × 7)
the area of the given fig will be (12 × 7) +(12 × 7)
What is square?
Having four equal sides, a square is a quadrilateral. There are numerous square-shaped objects in our immediate environment. Each square form may be recognized by its equal sides and 90° inner angles. A square is a closed form with four equal sides and interior angles that are both 90 degrees. Numerous different qualities can be found in a square.
a floor covered with white tiles and gray tiles.
the area of the given figure will be
(12 × 7) and another (12 × 7)
So the total area will be (12 × 7) +(12 × 7)
Hence the area of the given fig will be (12 × 7) +(12 × 7)
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Help plz:)))I’ll mark u Brainliest
Answer:
x = 12
Step-by-step explanation: