Answer:
is there a line over any of the numbers?
Step-by-step explanation:
a certain basketball player makes a foul shot with probability 0.45. what is the probability that (a) his first basket occurs on the sixth shot; (b) his first and second baskets occur on his fourth and eighth shots, respectively?
The probability of making a basket on the sixth shot is 0.075. The probability that the first and second baskets occur on the fourth and eighth shots is 0.031.
For the first shot to be on the sixth trial, five earlier shots must have failed.
The probability of a missed basket is 1 - 0.45 = 0.55.
The probability of five missed baskets in a row is (0.55)5 = 0.166.
The probability of making a basket on the sixth shot is 0.45.
Hence, the probability of making a basket on the sixth shot is 0.45 * 0.166 = 0.075.
There are a few possible ways to get the first and second baskets to happen on the fourth and eighth shots, respectively.
In the end, either of the following two paths will work:
4 failures, then 2 successes, then 2 failures
3 failures, then 1 success, then 1 failure, then 1 success, then 2 failures
Using the multiplication rule, we get the following probabilities for each course:
P(4 failures, 2 successes, 2 failures) = (0.55)4 * (0.45)2 * (0.55)2
= 0.018
P(3 failures, 1 success, 1 failure, 1 success, 2 failures) = (0.55)3 * (0.45) * (0.55) * (0.45) * (0.55)2
= 0.013
The probabilities of the two possible routes must be summed up to arrive at the answer.
Hence, the probability that the first and second baskets occur on the fourth and eighth shots, respectively, is 0.018 + 0.013 = 0.031.
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The following graph shows a proportional relationship.
What is the constant of proportionality between y and in the graph?
y
6-
Col
5+
MY
4+
3+
Pro
21
Pro
1+
Tea
2
1
2
3
4
5
6
Answer:
Since (2, 4) belongs to the line the constant of proportionality is 4 / 2 = 2.
Given: 9x>-36.
Choose the solution set.
O [xlx>-4)
O'{x1x<-4}
O [xlx>4)
O [xlx<4)
1. What is the circumference of a circle with a radius of 5 inches? Leave your
answer in terms of pi.
A = xr2
C = 21
Answer:
Option 1 = 10pi
Step-by-step explanation:
Formula-2•radius•pi
2•5•pi
10 pi
1. Find the angle between vectors u = (3,-2) and = 27 + 5j to the nearest tenth of a degree.
To find the angle between two vectors, u and v, we can use the dot product formula: cos(theta) = (u · v) / (||u|| ||v||), where theta is the angle between the vectors. In this case, u = (3, -2) and v = (27, 5j).
The dot product of u and v is given by (3 * 27) + (-2 * 5)j = 81 - 10j.
The magnitude of u is ||u|| = sqrt(3^2 + (-2)^2) = sqrt(13).
The magnitude of v is ||v|| = sqrt(27^2 + 5^2) = sqrt(754).
Substituting these values into the formula, we have cos(theta) = (81 - 10j) / (sqrt(13) * sqrt(754)).
Taking the inverse cosine of both sides, we get theta = cos^(-1)((81 - 10j) / (sqrt(13) * sqrt(754))).
Evaluating this expression, we find the angle between the vectors u and v to the nearest tenth of a degree.
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uh?????????????????????????
Answer:
I'm sure it's 1.2506407mm
Step-by-step explanation:
Patty’s gymnastics class is 5/6 of an hour long. Patty practices five different skills and spends the same amount of time on each skill. How can you find how much time she spent on each skill? Explain how to use an area model to solve the problem.
Answer:
10 minutes
Step-by-step explanation:
5/6 of an hours is 50 min. Assume x is the time she spends on each skill.
5x=50
x=10
She spent 1/6 of an hour i.e. 10 minutes on each skill.
What is area model?In area model for multiplication a rectangle is used to represent multiplication between two quantities. Width and Length of the rectangle are assigned the numerical value of the two quantities being multiplied.
Solution
Let the number of skills be represented by the length of the rectangle in the figure.
Let the time spent(in hours), which is same for all skills, on each skill be represented by the width of the rectangle in the figure.
The area of the rectangle = length × width = 5 × t = 5t hours.
This area represents total time spent on five skills, which is 5/6 hours.
The smaller rectangles into which the whole rectangle is divided have area 1 × t = t hours. This represents time spent on one skill.
From the figure, such five smaller and equal rectangles constitutes the whole rectangle.
So, area of one smaller rectangle = Area of big rectangle / number of small rectangles = (5/6)/5 = 1/6 hours.
Since, this represents time spent on one skill. So, the required time is 1/6 hours.
She practice each skill for 1/6 of an hour.
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Simplify the expression by combining like
terms:
4a + 1 + a +3
Enter the number that goes in the box.
[?] a + [?]
Answer:
[5] a + [4]
Step-by-step explanation:
Simplify the expression by combining like
terms: 4a + 1 + a +3 Enter the number that goes in the box. [?] a + [?]
Combine like terms: like terms are a and the numbers
4a + 1 + a +3
5 a + 4
Answer:
\( \sf \: 5a + 4 \)
Step-by-step explanation:
Given expression,
→ 4a + 1 + a + 3
Let's simplify the expression,
→ 4a + 1 + a + 3
→ (4a + a) + (1 + 3)
→ (5a) + (4)
→ 5a + 4
Hence, the answer is 5a + 4.
Plzz plzzz explain this!!!!
Answer:
hope it helps...
Step-by-step explanation:
please comment me if it is really helpful ..
Solve the inequality, with working out
\(3 - \frac{1}{2}x > x \\ \)
Add sides ½ x
\(3 - \frac{1}{2}x + \frac{1}{2} x > x + \frac{1}{2}x \\ \)
\(3 > \frac{2}{2}x + \frac{1}{2}x \\ \)
\(3 > \frac{3}{2}x \\ \)
Multiply sides by 2
\(3 \times 2 > 2 \times \frac{3}{2}x \\ \)
\(6 > 3x\)
Divided sides by 3
\( \frac{6}{3} > \frac{3}{3}x \\ \)
\(2 > x\)
\(x < 2\)
_________________________________
Done♥️♥️♥️♥️♥️
Answer:
hmmmmmmmmmmmmmmmmmmmm
please help ASAP... here is a question WRITE 894 290 000 IN SCIENTIFIC NOTATION
Answer:
hey there, the answer is 8.9429 × 10^8
Answer:
8.9429 × 10^8
Step-by-step explanation:
ya the answer is 8.9429 × 10^8
A property was purchased for $8725.00 down and payments of $1465.00 at the end of every three months for 10 years. Interest is 5% per annum compounded annually. What was the purchase price of the property? How much is the cost of financing? The purchase price of the property was $ (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.) The cost of financing is (Round the final answer to the nearest cent as needed. Round all intermediate values to six decimal places as needed.)
To calculate the purchase price of the property and the cost of financing, we need to determine the present value of the down payment and the series of payments. Using the interest rate of 5% per annum compounded annually and the given payment schedule, we can find the purchase price and the cost of financing.
The purchase price of the property can be calculated by finding the present value of the down payment and the series of payments. The down payment is $8725.00, which is the initial cash outflow. The payments of $1465.00 are made at the end of every three months for 10 years, totaling 40 payments.
To find the present value, we need to discount each payment using the interest rate of 5% per annum compounded annually. The formula to calculate the present value of a series of payments is:
Present Value = Payment \(\times \left(\frac{1 - (1 + r)^{-n}}{r}\right)\)
where Payment is the periodic payment, r is the interest rate, and n is the total number of payments.
By substituting the values into the formula, we find that the purchase price of the property is approximately $95,895.14.
The cost of financing can be calculated by subtracting the sum of the down payment and the total payments from the purchase price. In this case, the cost of financing is approximately $87,170.14.
Therefore, the purchase price of the property is $95,895.14, and the cost of financing is $87,170.14.
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The surface of a table to be built will be in the shape shown below. The distance from the center of the shape to the center of each side is 10.4 inches and the length of each side is 12 inches.
The are of the triangle is mathematically given as
a=62.4in^2. This is further explained below.
What is the area of the triangle?Generally, the equation for the area is mathematically given as
a= 0.5(base X height)
Therefore
a= 0.5 (10.4 x 12)
a=62.4in^2
In conclusion, The area of the triangle is
a=62.4in^2
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What is the volume of the tank, in terms of PI?
Answer:
48\(\pi\) cubic feet
Step-by-step explanation:
Have a good day :)
Determine the slope of the line that contains the point T(6,2) & V(8,5)
Answer:
3/2
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 5-2)/(8-2)
= 3/2
Mr. and Mrs. Rainer took out a $240,000 loan to purchase their home. If the interest rate on the loan is 1.2% compounded bimonthly, how much interest will they have paid after 30 years?
Determine whether the polygons are similar. If they are, write a similarity statement
Answer:
Yes, the polygons are similar because they both have the same angles and they are both isosceles triangles.
4/5 + 3/5 add following numbers and simplify
Answer:
1 2/5 is your answer in decimal form it is 1.4
4+3/5
7/5~Simplify this fraction~
1 2/5~Is your answer after you simplify~
Answer:
7/5, or 1 2/5 if you're looking for a mixed fraction.
Step-by-step explanation:
Since the denominators are the same, just add the numerators and keep the denominator the same. 7/5
Can you help me please thank you
Maddy reads three-fifth of 75 pages of his lesson. How many more pages does he need to complete the lesson?
Answer:
30 more pages
Step-by-step explanation:
1-3/5 =2/5
We do this because we are finding the amount left, which is the remaining fraction left, or 2/5
Multiply 75 by 2/5
150/5 = 30
consider the quadratic function y equals short dash x squared plus 6 x minus 5. what do we know about the graph of this quadratic equation, based on its formula?
Based on the formula of the quadratic function y=-x^2+6x-5, we know that its graph is a downward-facing parabola that opens wide, with a vertex at (3,-14), and an axis of symmetry at x=3.
Based on the formula of the quadratic function y=-x^2+6x-5, we can determine several properties of its graph, including its shape, vertex, and axis of symmetry.
First, the negative coefficient of the x-squared term (-1) tells us that the graph will be a downward-facing parabola. The leading coefficient also tells us whether the parabola is narrow or wide. Since the coefficient is -1, the parabola will be wide.
Next, we can find the vertex using the formula:
Vertex = (-b/2a, f(-b/2a))
where a is the coefficient of the x-squared term, b is the coefficient of the x term, and f(x) is the quadratic function. Plugging in the values for our function, we get:
Vertex = (-b/2a, f(-b/2a))
= (-6/(2*-1), f(6/(2*-1)))
= (3, -14)
So the vertex of the parabola is at the point (3,-14).
Finally, we know that the axis of symmetry is a vertical line passing through the vertex. In this case, it is the line x=3.
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1) Determine a. b if || a |= 6,|| b ||= 4 and the angle between the vectors 0 = π/3 ?
A) 24
B)-12
C) 12
D) None of the above
The dot product of vectors a and b || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.
The dot product of two vectors, we can use the formula:
a · b = ||a|| ||b|| cos(theta)
where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.
In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.
Substituting these values into the formula, we have:
a · b = 6 × 4 × cos(π/3)
To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:
a · b = 6 × 4 × 1/2
= 12
Therefore, the dot product of vectors a and b is 12.
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Multi step equation: -8(2-3x)=104
(\(10(x-11)=40\)
Answer:
x = 15
Step-by-step explanation:
First divide both sides by 10
x-11 = 4
Add 11 to both sides
x = 15
Check your answer
10(x - 11) = 40
10(15 - 11) = 40
10 *4 = 40
40 = 40
Over 3 days Molly earns $2,568 for a local charity.She earns twice as much money on the first day then the second day. She earns 3 times as much money than the second day on the 3rd day.How much money did Molly earn on the first day?
Answer:
Molly earned $856 on the first day.
Step-by-step explanation:
From the information given, you know that over 3 days Molly earned $2,568 which is:
x+y+z=2568, where:
x is the amount earned on the first day
y is the amount earned on the second day
z is the amount earned on the third day
Also, you know that she earns twice as much money on the first day then the second day, which is: x=2y and that she earns 3 times as much money than the second day on the 3rd day, which is: z=3y.
Now you can replace x and y in the first equation and solve for y:
2y+y+3y=2568
6y=2568
y=2568/6
y=428
No, you can replace the value of y to find x and z:
x=2(428)
x=856
z=3(428)
z=1284
According to this, the answer is that Molly earned $856 on the first day.
A rectangle has length (3x+5) cm and width (2x - 1) cm. What is the area of the
rectangle?
Question 1-6
In PQR, PQ=QR. If m/P = (2x - 26) and m/R= (x+17), classify PQR. Select all that apply.
The triangle PQR is an equilateral triangle
How to classify the triangleFrom the question, we have the following parameters that can be used in our computation:
PQ=QR.
m/P = (2x - 26) and m/R= (x+17)
When two sides of a triangle are congruent, then the triangle is an isosceles triangle
Using the above as a guide, we have the following:
2x - 26 = x + 17 --- base angles of an isosceles triangle
So, we have
x = 43
This gives
m/P = 2 * 43 - 26 = 60
m/R= 43 + 17 = 60
If two angles of a triangle measure 60 degrees, then the third angle is 60 degrees
This implies that the triangle is an equilateral triangle
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The measure of the angle Q is 46.4°
How to find the angle?Recall that the sum of the angles of a triangle is equal to 180 degrees
We are told that
PQ = QR
Q = 100°
As PQ and QR are equal so,
By theorem angle opposite to equal sides are equal so,
We can say that angle P = angle R = X
Therefore by angle sum property of the triangle,
angle P + angle Q + angle R = 180°
X +(2x - 26)+ (2x - 26) = 180°
This implies that 5x-52=180
Collecting like terms
5x=180+52
5X = 232°
X =46.4°
Therefore the measure of R = 40°
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the historical returns of american airlines (tic: aal) follow a normal distribution with mean of 4.28% and a variance of 9.63%. michael is currently investing $364,888. what is the value at risk (in dollars) at the 2.5% level? note: should be a negative number. to compute the returns, round to the nearest integer.
At the 2.5% level, the maximum value at risk that Michael could experience is approximately $28,187.
The value at risk (VaR) at the 2.5% level can be calculated as follows:
\(VaR = - (364,888 * 0.025 * 0.0428 - \sqrt{(364,888 * 0.025 * 0.0963)}) = - $28,187\)
Where:
The 2.5% level corresponds to the left-tail of the normal distribution with a standard deviation of 1.96.The mean return of American Airlines is 4.28% and the variance is 9.63%, so the standard deviation is the square root of the variance (i.e., sqrt(9.63%) = 31.01%).The investment amount is $364,888.We use the negative sign to indicate that the VaR is a potential loss.Therefore, at the 2.5% level, the maximum potential loss that Michael could experience is approximately $28,187.
In simpler terms, the VaR is a statistical measure that estimates the maximum potential loss of an investment with a certain level of confidence over a given time period. In this case, we use the historical returns of American Airlines to estimate the risk of Michael's investment. The VaR tells us that there is a 2.5% chance that Michael could lose at least $28,187 from his investment in American Airlines, assuming that the future returns follow a normal distribution with the same mean and variance as the historical returns.
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NO LINKS I WILL REPORT!! but help plsss What is the value of y?
2yº
y + 10°
50°
Answer:
y=40
I hope it's helps you
During the winter season, the number of visitors to a theme park decreased by 700 to 2,100. What was the theme park's population at the beginning of the winter season?
Answer: 2800
Step-by-step explanation:
From the question, we are informed that during the winter season, the number of visitors that came to a theme park decreased by 700 to 2,100.
Therefore, the theme park's population at the beginning of the winter season will be gotten by adding 700 and 2100. This will be:
= 700 + 2100
= 2800