Answer:
$5.97
Step-by-step explanation:
Multiply 1.99 and 3
Evaluate: (4 + 6 ⋅ 3) + 3
66
16
25
33
Answer:
25
Step-by-step explanation:
$$$
bxhg hdbhxhfnr bshjbduokkbev indghkdnodgcf
Answer:
25 (third option)
Step-by-step explanation:
(4 + 6 × 3) + 3
(4 + 18) + 3
22 + 3
= 25
Draw two parallel lines (D₁) and (D₂) having a distance of 6 cm. Draw the segments [AB], [CD], [EF] and [GH] each having one extremity on (D₁) and another on (D₂) and such that one of them is perpendicular to (D₁) and to (D₂).
The image required is attached below
What are parallel lines?Generally, In the field of geometry, two lines are said to be parallel if they are coplanar and if they do not cross at any point. Planes that are contained inside the same three-dimensional space but never collide are said to be parallel. Curves are said to be parallel if they do not touch or intersect with one another and maintain a constant minimum distance between themselves.
Lines on a plane that are always the same distance apart and do not ever intersect are said to be parallel to one another. In other words, they are two or more lines that are in the same plane (coplanar) but do not cross each other since they do not overlap.
If two lines are parallel, any line that is perpendicular to both of them — also known as a transversal — will cross both lines at the same angle if it is drawn between them. This is an important characteristic in geometry that may be used to verify that two lines are parallel to one another.
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Sofia works at Cowboy Corner. She receives 10% commission on all of the cowboy hats she sells in a month. If Sofia sells $545 in total sales, what is her commission? (include steps or explanation in ur answer)
Answer:
$54.50
Step-by-step explanation:
10% = 10/100
=545 × 10/100
=5450/100
=54.5
Need help ASAP. WILL MARK BRAINLIEST.
Answer:
2, 18, 56.52, It will double as well.
Step-by-step explanation:
First, multiply the radius by 9 to get the diameter, 18 inches. Then, multiply the diameter by 3.14(an approximation for pi) to get a circumference of about 56.52 inches.
If the diameter is doubled what happens to the circumference? Explain.
It will double because its like a second layer is added on, and 56.52 x 2 = 113.04, which would be the doubled circumference.
Hope this helps! :)
Please help me I'm stuck.
\(\cfrac{89.40~~ - ~~\stackrel{ \textit{minus the tax of each} }{0.50-0.50-0.50-0.50-0.50-0.50}}{6}\implies \cfrac{86.40}{6}\implies \stackrel{ each }{14.40}\)
question content area top part 1 find the general solution of the system whose augmented matrix is given below. [[2,-7,3,0],[4,-14,6,0],[8,-28,12,0]]
The general solution of the system is: x = x (free parameter), y = (7/2)x, and z = -(3/2)x. This represents the set of all solutions to the system of equations.
To find the general solution of the system represented by the augmented matrix, we can perform row operations to bring the matrix to its reduced row-echelon form (RREF). The RREF will reveal the solution of the system.
Let's work through the row operations step by step:
Row 2 = Row 2 - 2 × Row 1
Row 3 = Row 3 - 4 × Row 1
The new augmented matrix after the first row operation:
[ 2 -7 3 0 ]
[ 0 0 0 0 ]
[ 0 0 0 0 ]
Next, divide Row 1 by 2:
Row 1 = Row 1 / 2
The updated augmented matrix:
[ 1 -7/2 3/2 0 ]
[ 0 0 0 0 ]
[ 0 0 0 0 ]
Now, we can see that the second and third rows consist of all zeros. This indicates that the system has infinitely many solutions.
To express the general solution, we can assign a parameter to one of the variables (let's choose x):
x = Free parameter
Then, we can express the other variables in terms of x:
y = (7/2)x
z = - (3/2)x
Therefore, the general solution of the system is:
x = x (free parameter)
y = (7/2)x
z = -(3/2)x
This represents the set of all solutions to the system of equations. By assigning different values to the parameter x, we can obtain infinitely many solutions.
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Select the TRUE statements: a A sufficiently large sample size for the central limit theorem is greater than 30 b The variability of sampling distribution of the mean (X-bar) is less than the variability of the individual observations (X) c A sufficiently large sample size for the central limit theorem is greater than 50 d The variability of sampling distribution of the mean (X-bar) is more than the variability of the individual observations (X)
The true statements are:
b. The variability of the sampling distribution of the mean (\(\overline x\)) is less than the variability of the individual observations (x)
a. A sufficiently large sample size for the central limit theorem is greater than 30.
The central limit theorem:The CLT states that if a sample is drawn randomly from any population, the distribution of sample means will approach a normal distribution, regardless of the shape of the population distribution, as the sample size increases.
This means that for large enough sample sizes, the mean and standard deviation of the sample mean can be estimated using a normal distribution.
Let's check each option as follows
Statement c is false because a sample size of 30 or greater is often considered sufficiently large for the central limit theorem.
Statement d is false because the variability of the sampling distribution of the mean decreases as the sample size increases, which is why the central limit theorem is useful.
Therefore,
The true statements are:
b. The variability of the sampling distribution of the mean (X-bar) is less than the variability of the individual observations (X)
a. A sufficiently large sample size for the central limit theorem is greater than 30.
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What is the distance of -4,-6 and 5,-6?
Answer:
Step-by-step explanation:
mp (-4,-6) (5,-6)
mp (-4+5/2, -6+-6/2)
mp ( 1/2, -12/2)
mp (0.5, -6)
Find the total surface area of this cuboid 7.2cm. 3.1cm. 4.8cm
Answer:
Total surface area of cuboid (6 faces)
= 7.2 x 3.1 x 2 + 7.2 x 4.8 x 2 + 3.1 x 4.8 x 2 = 143.52 (cm2)
Answer:
Step-by-step explanation:
Total surface area of cuboid (6 faces)
= 7.2 x 3.1 x 2 + 7.2 x 4.8 x 2 + 3.1 x 4.8 x 2 = 143.52 (cm2)
can someone help me with this math problem pls? will give thanks!
Answer:
sin(A) = opp / hyp
=a/hyp. =9/15
cos(A) = adj/hyp
=b/hyp. =12/15
Tan(A) = sin(A) / cos(A)
= 9/15 / 12/15
=9/12. (you can further simplify it)
same for the B angle,
sin(B) = b/15
=12/15
cos(B) = a/15
=9/15
tan(B) = sin(B) / cos(B)
= 12/15 / 9/15
=12/9
a hospital director believes that 75% of the lab reports contain errors. a sample of 140 reports found 98 errors. is there sufficient evidence at the 0.10 level to refute the hospital director's claim? state the null and alternative hypotheses for the above scenario.
For the scenario, the null and alternate hypotheses are as follows:
H(0) : p = 0.75
H(a) : p ≠ 0.75
In the question, a hospital director believes that 75% of the lab reports contain errors.
A sample of 140 reports found 98 errors.
We have to explain there is sufficient evidence at the 0.10 level to refute the hospital director's claim or not and we have to state the null and alternative hypotheses for the above scenario.
In statistics, a two-tailed test is a procedure that determines if a sample is larger than or less than a particular range of values by using a two-sided critical area of a distribution. It is utilized in tests for statistical significance and null hypotheses.
So this is a two tailed test.
The null and alternative hypotheses for the above scenario is:
H(0) : p = 0.75
H(a) : p ≠ 0.75
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The truck averages 6 miles per gallon of gas. How many gallons of gas would the truck need to make the trip to Philadelphia?
Answer:
11 gallons of gas
Step-by-step explanation:
6 / 2/3 = 9 and then 95 / 9 = 11 (round it up)
if any particular experimental run involves the use of a single temperature, pressure, and catalyst, how many experimental runs are possible? runs (b) how many experimental runs are there that involve use of the lowest temperature and two lowest pressures? runs (c) suppose that four different experimental runs are to be made on the first day of experimentation. if the four are randomly selected from among all the possibilities, so that any group of four has the same probability of selection, what is the probability that a different catalyst is used on each run? (round your answer to four decimal places.)
The probability of using a different catalyst in each of the four experimental runs is C(n3, 4) / C(n1 * n2 * n3, 4) (rounded to 4 decimal places).
a) The number of experimental runs possible depends on the number of temperatures, pressures, and catalysts available for use.
b) The number of experimental runs involving the lowest temperature and two lowest pressures depends on the specific values of these factors and the number of options available for each.
c) The probability of using a different catalyst on each of the four experimental runs can be calculated as follows:
Let's assume that there are n different catalysts available for use.
The number of ways to select the first catalyst is n options.
The number of ways to select the second catalyst is (n-1) options since one of the options have already been used.
The number of ways to select the third catalyst is (n-2) options, and
The number of ways to select the fourth catalyst is (n-3) options.
The total number of ways to select 4 catalysts out of n is n! / (n-4)!
The probability of selecting a different catalyst for each run can be calculated as:
(n options * (n-1) options * (n-2) options * (n-3) options) / (n! / (n-4)!) = (n * (n-1) * (n-2) * (n-3)) / n!
Rounding the answer to 4 decimal places, the probability is (n * (n-1) * (n-2) * (n-3)) / n!.
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anyone know the answer??
The measure of the indicated angle to the nearest degree can be found to be A. 51 degrees .
How to find the angle ?The cosine function is defined as the ratio of the adjacent side to the hypotenuse in a right triangle .
In this case , the adjacent side is 17 and the hypotenuse is 27 . This means that the angle can be found to be :
Cos ( angle ) = Adjacent / Hypotenuse
Cos ( angle ) = 17 / 27
Angle = Cos ⁻ ¹ ( 17 / 27 )
Angle = 50. 98 degrees
Angle = 51 degrees
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A company's stock began the day at $39.17 per share. That price drops by $1.38 each hour.
What is the price per share after 4 hours?
Hi :)
The price per share after 4 hours is $33.65.
Answer:
$33.65
Step-by-step explanation:
can someone help me with this please.
Roberta sometimes has to fly for business. From past experience, she estimates the probability th will be delayed to be 15%. In the upcoming year, she plans to fly 80 times. Assume that the 80 A plans to take represent an SRS of all possible flights on this airline and that each flight is indepe represent the number of fights that are delayed. a. Calculate the mean and standard deviation of the sampling distribution of X, the number of t Roberta's flight will be delayed in the upcoming year. b. Justify that the sampling distribution of X is approximately normal. C. Calculate the probability that at most 10 of the upcoming flights Roberta takes are delayed.
The sampling distribution of the number of delayed flights in a year for Roberta, given a probability of 15%, has a mean of 12 and standard deviation of 2.41. The sampling distribution can be approximated to a normal distribution, and the probability of at most 10 delayed flights is 0.085.
a. To calculate the mean and standard deviation of the sampling distribution of X, we need to use the following formulas:
Mean: μx = np = 80 x 0.15 = 12
Standard deviation: σx = sqrt(np(1-p)) = sqrt(80 x 0.15 x 0.85) ≈ 2.67
Therefore, the mean number of delayed flights is 12 and the standard deviation is 2.67.
b. The sampling distribution of X is approximately normal because we are assuming that the sample is an SRS of all possible flights and each flight is independent of each other. Additionally, the sample size (80) is large enough to satisfy the central limit theorem.
c. To calculate the probability that at most 10 of the upcoming flights Roberta takes are delayed, we need to use the normal distribution. First, we need to standardize the value of 10 using the mean and standard deviation calculated above:
z = (10 - 12) / 2.67 ≈ -0.75
Using a standard normal distribution table or calculator, we can find the probability that Z is less than or equal to -0.75, which is approximately 0.2266.
Therefore, the probability that at most 10 of the upcoming flights Roberta takes are delayed is 0.2266 or about 22.66%.
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Se reparten 76 balones en 3 grupos, el segundo recibe 3 veces el número de balones que el primero y el tercero recibe 4 balones menos que el primero. ¿Cuantos balones recibe cada grupo? 2. -Se tienen 88 objetos que se reparten entre dos personas, la segunda persona recibe 26 menos que la primera. ¿Cuántos recibe cada una?
We have:x + (x - 26) = 88Simplify:2x - 26 = 88Solve for x:2x = 114x = 57Therefore, the first person receives 57 objects, and the second person receives x - 26 = 31 objects.
1. Let x be the number of balls in the first group. Then the second group has 3x balls, and the third group has x − 4 balls. We know that the sum of the balls in the three groups is 76. Hence we have:x + 3x + (x - 4) = 76Simplify:x + 3x + x - 4 = 76Solve for x:5x = 80x = 16Therefore, the first group has 16 balls, the second group has 3x = 48 balls, and the third group has x - 4 = 12 balls.2. Let x be the number of objects received by the first person. Then the second person receives x - 26 objects. We know that the sum of the objects received by the two people is 88. Hence we have:x + (x - 26) = 88Simplify:2x - 26 = 88Solve for x:2x = 114x = 57Therefore, the first person receives 57 objects, and the second person receives x - 26 = 31 objects.
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What is 24/240 as a decimal
Answer:
0.1
Step-by-step explanation:
Just take 24/24 which is 1 and move the decimal one place to the left because there is an extra 0 on the denominator
Need help with this math problem
Answer:
(-1, 4)
Step-by-step explanation:
The formula (-x, y) can be used when reflecting a coordinate across the x-axis.
20 POINTS! TRUE OR FALSE! Available on Chegg.
In the statement ~(M ⊃ X)~) governs the simple statement M
Tilde (~)=negation
Horseshoe (⊃)=conditional
The statement "In the statement ~(M ⊃ X)~) governs the simple statement M" is false
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
In the statement ~(M ⊃ X)~) governs the simple statement M.
In logic and binary, the negation of an implication (M ⊃ X) is written as ~(M ⊃ X), which is read as "not (M implies X)".
This statement does not govern or control the simple statement M. The simple statement M can be true or false independently of the negation of the implication.
In other words, the truth value of ~(M ⊃ X)is dependent on the truth values of both M and X, not just M.
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2. pvalue
3.critical value
4.test value
5.make a desision
Noise Levels in Hospitals In a hospital study, it was found that the standard deviation of the sound levels from 30 areas designated as "casualty doors" was 6.4 dBA and the standard deviation of 28 areas designated as operating theaters was 4.1 dBA. At a 0.10, can you substantiate the claim that there is a difference in the standard deviations? Use a, for the standard deviation of the sound levels from areas designated as "casualty doors." Part 1 of 5 (a) State the hypotheses and identify the claim. H_0: sigma_1^ = sigma_2^ _____
H_1: sigma_1^ ≠ sigma_2^ _____
This hypothesis test is a___test.
The hypotheses for the test are H₀: σ₁² = σ₂² and H₁: σ₁² ≠ σ₂². This is a two-tailed test to assess if there is a difference in the standard deviations of sound levels between the areas designated as "casualty doors" and operating theaters. The claim being investigated is whether or not there is a difference in the standard deviations.
The hypotheses for the test are:
H₀: σ₁² = σ₂² (There is no difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
H₁: σ₁² ≠ σ₂² (There is a difference in the standard deviations of the sound levels between the areas designated as "casualty doors" and operating theaters.)
This hypothesis test is a two-tailed test because the alternative hypothesis is not specifying a direction of difference.
To substantiate the claim that there is a difference in the standard deviations, we will conduct a two-sample F-test at a significance level of 0.10, comparing the variances of the two groups.
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Help and brainliest? :(
A hummingbird has a 85% probability of surviving the 450 mile migration trip to its favorite breeding ground. Compute the mean of the random variable, number of birds that survive migration, if 280 birds were randomly selected.
The mean of the random variable, number of birds that survive migration, if 280 birds were randomly selected, is 238.
To compute the mean of the random variable, we need to multiply the probability of survival (85% or 0.85) by the total number of birds (280). By doing this, we can determine the expected number of birds that will survive the migration trip.
The probability of survival for each bird is independent of the others, so we can treat each bird's survival as a separate Bernoulli trial. In this case, the probability of success (survival) is 0.85, and the probability of failure (not surviving) is 0.15.
We can use the formula for the mean of a binomial distribution to calculate the expected number of successes. The formula is:
mean = \(n * p\)
Where:
- mean is the expected number of successes,
- n is the total number of trials (birds in this case), and
- p is the probability of success (probability of surviving the migration trip).
Plugging in the values, we have:
mean =\(280 * 0.85\) = 238
Therefore, the mean of the random variable, number of birds that survive migration, if 280 birds were randomly selected, is 238.
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True or False:
A change of one standard deviation in x corresponds to a change of r standard deviations in y.
A change of one standard deviation in x corresponds to a change of r standard deviations in y.False
The correlation coefficient (r) measures the strength and direction of a linear relationship between two variables, but it does not necessarily indicate that a change of one standard deviation in x corresponds to a change of r standard deviations in y. The magnitude of this correspondence depends on the slope of the regression line, which is determined by both the correlation coefficient and the standard deviations of the variables.
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-2+3y=9 ; y=2x+7 i need help
Answer:
Here is your 2 answers.
Step-by-step explanation:
First question: -2+3y=9
step 1 simplify first so now it's 3y-2
step 2 add both sides by 2 now its 3y=11
step 3 divide both sides by 3 so on the left both sides should cross out leaving only y=11/3 so this is your first answer
Second question:
I attach the link this question acquires a graph to plot I believe so here is the answer for the second one hope I help please mark brainliest if I did! <3
A plastic rod has been bent into a circle of radius R=8.20 cm. It has a charge Q1
=+4.20 pC uniformly distributed along one-quarter of its circumference and a charge Q2
=−6Q 1
uniformly distributed along the rest of the circumference (in the above figure). With V=0 at infinity, what is the electric potential at
(a) the center C of the circle and (b) point P, on the central axis of the circle at distance D=6.71 cm from the center?
a) The electrical potential V (center) at the center C of the circle due to the charges Q1 and Q2 is -2.30 V.
b) The total electrical potential at the point P due to charge Q1 and Q2 , located at a distance of 6.71 cm is -1.78V.
Given that:
Radius of the circle, r = 8.20cm
Charge distributed along one-quarter of the circumference of the circle,
Q1 = +4.20pC
Charge distributed along 3/4th of the circumference of the circle,
Q2 = 25.20pC
Distance of the point from the center, d = 6.71cm
The electric potential at infinity is. V = 0
Using the concept of potential at a point on a thin rod, we can obtain the individual potential due to each charge. The sum of these values can now be used to obtain the desired potential value at the center and at the point, taking into account the distance to the point.
Formula:
The potential due to a point charge at a distance r from the point charge is determined by the equation V = \(\frac{1}{4\pi E_0} * \frac{q}{r}\) ---------------- (1)
The potential due to the collection of point charges is determined by formula:
V = ∑\(\frac{1}{4\pi E_0} * \frac{q}{r}\) -------------------- (2)
(a) The potential VQ1 at the center C of the circle due to the charge Q1 is determined using equation (i) as:
\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_1}{R}\) --------------------- (3)
Here, R is the radius of circle
The potential VQ1 at the center C of the circle due to the charge Q1 is determined using equation (i) as:
\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_2}{R}\) ----------------------- (4)
Now the potential V(center) at the center C of the circle due to charges Q1 and Q2 is the sum of the potential due to charge Q1 and the potential due to charge Q2. This is given using equations (a) and (b) in equation (ii) as:
\(V_Center = \frac{1}{4\pi E_0} * \frac{Q_1}{R} + \frac{1}{4\pi E_0} * \frac{Q_2}{R}\)
⇒ \(V_Center = \frac{1}{4\pi E_0} *( \frac{Q_1}{R} + \frac{Q_2}{R})\)
⇒ 9.0 × 10⁹Nm²/C₂ (\(\frac{4.20*10^-12 C}{0.082m} +\frac{-25.2*10^-12C}{0.082m}\))
⇒ -2.30V
The electrical potential V (center) at the center C of the circle due to the charges Q1 and Q2 is -2.30 V.
(b) From the above figure the r between each charged particle and the point P is given as:
\(r = \sqrt{R^{2}+D^{2} }\)
In the figure above, r between each charged particle and point P is defined as: ="1662703245948 "
\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_1}{\sqrt{R^{2} + D^{2} } }\) ------------------ (5)
Again, the electric potential at point P due to charge Q2 is given using equation (i) as follows:
\(V_Q_1 = \frac{1}{4\pi E_0} * \frac{Q_2}{\sqrt{R^{2} + D^{2} } }\) -------------------- (6)
A The potential at point P due to charge Q2 is determined using equation (i): The potential of charge Q1 and the potential of charge Q2. This is given using equations (c) and (d) in equation (ii) as:
\(V_P = 9.0 * 10^9Nm^2/C^2 (\frac{4.20*10^-12C-6(4.20*10^-12C)}{\sqrt{(0.082m)^{2} + (0.082m)^{2} } })\)
= -1.78V
The total electrical potential at the point P due to charge Q1 and Q2 , located at a distance of 6.71 cm is -1.78V.
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Find the area of this figure. Round your
answer to the nearest hundredth. Use
3. 14 to approximate.
12. 2 ft.
10 ft.
6 ft.
14 ft.
A = [ ? ] ft. 2
Notice that only half of the circle is included in the figure!
Enter
Answer:
The area of the figure can be calculated by finding the area of the included semicircle and the rectangle.
Step-by-step explanation:
The included semicircle has a radius of 6 ft, which means the radius of the full circle is 12 ft. The area of a semicircle is half the area of a full circle, so we can calculate the area of the semicircle as (1/2) * π * r^2, where π is approximately 3.14 and r is the radius.
Area of semicircle = (1/2) * 3.14 * (12 ft)^2
The rectangle has dimensions of 10 ft by 14 ft, so its area is length times width.
Area of rectangle = 10 ft * 14 ft
To find the total area of the figure, we add the area of the semicircle and the area of the rectangle:
Total area = Area of semicircle + Area of rectangle
Calculate the value using the given dimensions and round the answer to the nearest hundredth.
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Pls help with number 3 im struggling
Let's start by making a ratio comprised of the pieces of cheese to number of guests.
Ratio = 8 pieces of cheese : 10 guests
Now, the problem asks us to complete a ratio. We know the number of guests but not how many pieces of cheese are needed.
Incomplete Ratio = ? pieces of cheese : 30 guests
For every 10 guests, there are 8 pieces of cheese. 30 guests = 3 sets of 10 guests (10 x 3 = 30). So, 8 x 3 = 24.
Answer: 24 pieces of cheese
Hope this helps!
What is the diameter of a hemisphere with a volume of 31368\text{ cm}^3,31368 cm
3
, to the nearest tenth of a centimeter?
The diameter of the hemisphere, to the nearest tenth of a centimeter, is 42.0 cm.
To find the diameter of a hemisphere with a given volume, we can use the formula for the volume of a hemisphere:
V = (2/3) × π × r³
where V is the volume and r is the radius of the hemisphere.
Given that the volume is 31368 cm³, we can rearrange the formula to solve for the radius:
r³ = (3/2) × V / π
\(r = ((3/2) \times V /\pi)^{1/3}\)
Substituting the given volume, we have:
\(r = ((3/2) \times 31368 /3.14)^{1/3}\)
r=21.01 cm
Now let us calculate the diameter by multiplying the radius by 2:
d = 2 × r
d = 2 × 21.01
d = 42.02 cm
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