Answer:
B
Step-by-step explanation:
y=8x
y=8(2)
y=16
y=8(4)
y=32
Answer:
B
Step-by-step explanation:
cross multiply
24 • 4 =?
? ÷ 3 = 32
Helppppppp pleaseeee :(
Answer:
x ≤ 24
Step-by-step explanation:
-4x ≥ - 96
Dividing both sides by -4 (when dividing by negative values, signs change):
-4x/-4 ≤ -96/-4
x ≤ 24
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What number is 56% of 400? Show ALL of your work.
Answer: 224
Step-by-step explanation:
56% is the same as saying (56/100). When finding a percent of a number, you’re really setting up a ratio with the value x:
(56/100)=(x/400)
Then you just cross multiply:
(56 x 400)/100=x
x=224
Persephone is creating a flower garden in her back yard. If she needs 30 pounds of soil per square foot of the flower garden, how much soil will Persephone need to create her garden? Persephone is creating a flower garden in her back yard. If she needs 30 pounds of soil per square foot of the flower garden, how much soil will Persephone need to create her garden? 8 by 19
Answer:
4,560 pounds of soil
Step-by-step explanation:
Ok, based on the information given we are assuming that Persephone's garden is in the shape of a square or rectangle and the measurements 8 by 19 are in feet. That being the case we first need to calculate the square footage of the garden and we do this by multiplying the length by the width like so...
8 ft * 19 ft = 152 sq. ft.
Now that we know the square footage, we calculate how much soil is needed. Since the question states that she needs 30 pounds of soil per square foot then we multiply the square footage of the garden by 30.
152 sq. ft. * 30lb = 4,560lb
Finally, we can see that Persephone will need 4,560 pounds of soil for her garden.
how do I simplify the rational expression,2x-8÷2x^2+2x-40?
The point of concurrency of the angle bisectors of a triangle is known as_____. a) Incentre. b) Centroid. c) Orthocentre. d) None
The required final answer is option a) Incentre
What is concurrency of the angle?The point of concurrency of the angle bisectors of a triangle is known as the "Incentre".
It is the center of the circle inscribed within the triangle, which is equidistant from all three sides of the triangle.
The incentre is the point where the angle bisectors of a triangle intersect, forming the incircle, which is the largest circle that can be inscribed inside the triangle.
The incentre is always within the triangle and is equidistant from all three sides of the triangle, making
it a useful tool in construction and design applications. In summary, the incentre is the center of the incircle of a triangle, and it is the point where the angle bisectors of the triangle intersect.
Thus, required answer is "Incentre".
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Need 6 and 7 done please and thank you
Answer:
black
black
Step-by-step explanation:
A bag cohtains 4 red marbles, 5 blue marbles and 3 green marbles. If two marbles are drawn out of the bag, what is the exact probability that both marbles drawn will be blue?
Answer:
5/12
Step-by-step explanation:
total number of marble is 12 total number of blu is 5
Answer:
12.5%
Step-by-step explanation:
you have 7 reds of 14 total.
the 1st marble has 7 of 14 probability of being red
the 2nd has 6 of 13 of being red
the 3rd has 5 of 12 of being red
multiplying this out you have:
(7/14)*(6/13)*(5/12)=210/2184
THAT will condense down to 5/52 or 9.615%
this does assume not placing the balls back in between draws
if you do put them back in between draws you would have 7 of 14 chance each draw
that would give you by multiplying out
(7/14)*(7/14)*(7/14)=343/2744
that condenses to 1 of 8 or 12.5%
Independent random samples of professional football and basketball players gave the following information. Assume that the weight distributions are mound-shaped and symmetric. Weights (in lb) of pro football players: x₁; n₁ = 21 249 263 254 251 244 276 240 265 257 252 282 256 250 264 270 275 245 275 253 265 272 = (a) Use a calculator with mean and standard deviation keys to calculate x₁, S₁, X2, and s₂. (Round your answers to four decimal places.) $1 = x2 5₂ = Weights (in lb) of pro basketball players: x₂; n₂ = 19 202 200 220 210 192 215 223 216 228 207 225 208 195 191 207 196 181 193 201 = USE SALT (b) Let u, be the population mean for x₁ and let μ₂ be the population mean for X₂. Find a 99% confidence interval for μ₁-2₂. (Round your answers to one decimal place.) lower limit upper limit (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 99% level of confidence, do professional football players tend to have a higher population mean weight than professional basketball players? O Because the interval contains only negative numbers, we can say that professional football players have a lower mean weight than professional basketball players. O Because the interval contains both positive and negative numbers, we cannot say that professional football players have a higher mean weight than professional basketball players. O Because the interval contains only positive numbers, we can say that professional football players have a higher mean weight than professional basketball players. (d) Which distribution did you use? Why? O The Student's t-distribution was used because ₁ and ₂ are known. O The Student's t-distribution was used because ₁ and ₂ are unknown. O The standard normal distribution was used because ₁ and ₂ are unknown. O The standard normal distribution was used because ₁ and ₂ are known.
(a) Using a calculator with mean and standard deviation keys, we get:
x₁ = 257.19, S₁ = 12.0794, X2 = 660832.61, s₂ = 13.5992
(b) To find the 99% confidence interval for μ₁-μ₂, we can use the formula:
(x₁ - x₂) ± tα/2 * sqrt(S₁²/n₁ + S₂²/n₂)
where tα/2 is the critical value from the t-distribution with degrees of freedom equal to (n₁ - 1) + (n₂ - 1) = 38 and α/2 = 0.005 (since we want a 99% confidence interval). Using a t-table or calculator, we find tα/2 = 2.704.
Substituting the values, we get:
(257.19 - 204.26) ± 2.704 * sqrt(12.0794²/21 + 13.5992²/19)
= 52.93 ± 8.8529
So the 99% confidence interval for μ₁-μ₂ is (44.1, 61.76).
(c) The confidence interval means that we are 99% confident that the true population mean weight of pro football players is between 44.1 and 61.76 pounds more than the true population mean weight of pro basketball players. Since the interval contains only positive numbers, we can say that professional football players have a higher mean weight than professional basketball players at the 99% level of confidence.
(d) The Student's t-distribution was used because both ₁ and ₂ are unknown and the sample sizes are small (less than 30).
(a) After calculating the mean and standard deviation for both sets of data, we get the following results:
Football players (x₁):
Mean (x₁) = 258.4286
Standard Deviation (s₁) = 11.7043
Basketball players (x₂):
Mean (x₂) = 208.0526
Standard Deviation (s₂) = 12.7779
(b) To find a 99% confidence interval for μ₁ - μ₂, we can use the formula for the confidence interval of the difference between two means:
CI = (x₁ - x₂) ± t * √[(s₁²/n₁) + (s₂²/n₂)]
Using the t-distribution with the appropriate degrees of freedom (determined by the sample sizes, n₁ and n₂) and a 99% confidence level, we find the t-value, which is approximately 2.963.
CI = (258.4286 - 208.0526) ± 2.963 * √[(11.7043²/21) + (12.7779²/19)]
CI = 50.376 ± 2.963 * √[(162.0714/21) + (163.2774/19)]
CI = 50.376 ± 2.963 * 4.6571
CI = 50.376 ± 13.7903
The 99% confidence interval is:
Lower limit: 36.6
Upper limit: 64.1
(c) The confidence interval consists of only positive numbers. This means that, at the 99% level of confidence, professional football players have a higher population mean weight than professional basketball players.
(d) The Student's t-distribution was used because s₁ and s₂ are unknown.
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What's the value of a in the equation 9a - 4 = 7a ?
Answer:
a=2
Step-by-step explanation:
If a number is a natural number then it is also a whole number I need the inverse converse contra positive and biconditional and truth value
Inverse = if a number is not a natural number the it also not a whole number.
False
Converse = If a number is a whole number then it is also a natural number
False
Contrapositive = If a number is not a whole number then it is also not a natural number
True.
Bi conditional = number is a natural number if and only of it is a whole number.
False.
A line is perpendicular to y = -1/5x + 1 and intersects the point negative (-5,1) what is the equation of this perpendicular line?
Answer: y = 5x + 26
Step-by-step explanation:
To find the equation of a line that is perpendicular to the given line y = -1/5x + 1 and passes through the point (-5, 1), we need to determine the slope of the perpendicular line. The given line has a slope of -1/5. Perpendicular lines have slopes that are negative reciprocals of each other. So, the slope of the perpendicular line will be the negative reciprocal of -1/5, which is 5/1 or simply 5. Now, we have the slope (m = 5) and a point (-5, 1) that the perpendicular line passes through.
We can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Substituting the values, we get:
y - 1 = 5(x - (-5))
Simplifying further:
y - 1 = 5(x + 5)
Expanding the brackets:
y - 1 = 5x + 25
Rearranging the equation to the slope-intercept form (y = mx + b):
y = 5x + 26
Therefore, the equation of the perpendicular line that passes through the point (-5, 1) is y = 5x + 26.
What is the slope of the equation: y = -3x + 7
Step-by-step explanation:
tan‐¹ –3 I guess
Correct me if I am wrong
Answer:
-3
Step-by-step explanation:
in y=mx+b, m is the slope. There for -3 is the slope.
4(x - 2) = 2(x - 4) + 2x
Answer:
0
Step-by-step explanation:
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
The number that goes in the green box would be -3y^2
Step-by-step explanation:
There are no like term with the same variable y with an exponent of 2.
-Hope this helped
The given expression is,
→ -3y² - 3y + 4y + 100
Simplifying the given expression,
→ -3y² - 3y + 4y + 100
→ -3y² + (-3y + 4y) + 100
→ -3y² + y + 100
Hence, answer is -3y² + y + 100.
-5c + 2 < 27 on a number line.
Answer:
c < -5
Step-by-step explanation:
So, on a number line, everything to the right of -5 would be shaded.
6 would be shaded along with 7, 8, 9, 10 etc. etc
The circle above -5 would be left open (not colored in)
Hope this helped
Solve for x.
33 ÷ x = 3
Will mark brainlest
=================================
\(\\\)
\(33\div x=3\\\)
multiplying both sides by x
\(33=3x\\3x=33\)
dividing by 3 both sides
\(x=11\) {SOLUTION}===================================
#Carryonlearning
\(\textcopyright ELIZA\)
Answer:
x = 11
Step-by-step explanation:
33/x = 3
33 = 3x
x = 33/3
x = 11
Hope it helps!!!
d-c-e=17. what is c?
The value of the variable c in the given expression is; c = d - e - 17
How to find the subject of a formula?We are given the expression;
d - c - e = 17
The subject of a formula is the variable that is being worked out. It can be recognized as the letter on its own on one side of the equals sign. For example, in the formula for the area of a rectangle A = b h ( area = base × height ), the subject of the formula is A.
Now, to find c, we have to isolate it. Thus;
Add c to both sides to get;
d - e = 17 + c
Subtract 17 from both sides to get;
d - e - 17 = c
Thus, the value of the variable c in the given expression is; c = d - e - 17
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simplify the expression below using the distributive property:
4x - 2(x + 5)
Answer:
It is 2x-10
Step-by-step explanation:
It is 2x-10 because when you are doing this you want to try to get the x alone but in this case it is not dertinable
Please help!:)
Find the y-intercept for the parabola defined by
this equation:
y=-4x2 – x+3
Separate the values with a comma.
Enter the correct answer.
Answer: 3
Step-by-step explanation:
y intercept just means plug in x = 0 to the equation and solve for y.
so
y = -4*0^2-0+3
y = 3
This is for a Geometry-H class
Applying the linear angles theorem, the measures of the larger angles are: 130 degrees.
The measures of the smaller angles are 50 degrees
How to Apply the Linear Angles Theorem?Based on the linear angles theorem, we have the following equation which we will use to find the value of y:
3y + 11 + 10y = 180
Add like terms
13y + 11 = 180
Subtract 11 from both sides
13y + 11 - 11 = 180 - 11
13y = 169
13y/13 = 169/13
y = 13
Plug in the value of y
3y + 11 = 3(13) + 11 = 50 degrees
10y = 10(13) = 130 degrees.
Therefore, applying the linear angles theorem, the measures of the larger angles are: 130 degrees.
The measures of the smaller angles are 50 degrees.
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what are numerical or verbal descriptions that usually result from measurements of some sort?
The numerical or verbal descriptions that usually result from measurements are called data or observations.
When measurements are conducted, whether in scientific experiments, surveys, or other data collection processes, the outcome is typically a set of data or observations.
These measurements can be represented numerically, such as numerical values or quantities, or verbally, using descriptive terms or categories.
Numerical descriptions provide precise quantitative information, such as measurements of length, weight, temperature, time, or any other measurable attribute. These measurements are often expressed using numbers or units of measurement.
Verbal descriptions, on the other hand, use words or qualitative descriptions to convey information about the observations.
For example, when conducting a survey, respondents might provide verbal responses that describe their opinions, preferences, or experiences.
Both numerical and verbal descriptions play important roles in data analysis and interpretation.
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[PLS HELP WILL GIVE BRAINLIEST!!]
Determine the value of x.
Answer:
The value of x is 8.1
Step-by-step explanation:
We can use SOH CAH TOA to find our answer.
In this acronym, O is the opposite side, A is the adjacent side, and H is the hypotenuse. S is for the SIN function. C is for the COS function. T is for the TAN function.
We can calculate the length of the string by using the COS function.
So we can say the tangent of angle \(\beta\) is the opposite side divided by the adjacent side.
\(tan( \beta)=\frac{O}{A}\)
We are given the angle and the opposite side. We are looking for the adjacent side.
Lets solve for \(A\).
Take the reciprocal of both sides.
\(\frac{1}{tan(\beta)} =\frac{A}{O}\)
Multiply both sides by \(O\).
\(\frac{1}{tan(\beta)} *O=A\)
We are given
\(\beta=56\textdegree \\O=12\)
\(\frac{1}{tan(56)} *12=A\)
\(A=8.0941022\)
how to calculate number of tiles needed for a room
To calculate the number of tiles required for a room, you need to know the dimensions of the room and the size of the tiles.
How to calculate the number of tiles needed for a room?To calculate the number of tiles needed for a room, follow these steps:
Measure the length and width of the room in meters or feet.Determine the size of the tiles you plan to use in either square meters or square feet.Calculate the area of the room by multiplying the length by the width.Divide the total area of the room by the area of one tile to determine the number of tiles needed.Round up the result to the nearest whole number to account for any extra tiles needed due to cuts or replacements.To calculate the number of tiles required for a room, you need to know the dimensions of the room and the size of the tiles. By measuring the length and width of the room, you can calculate the total area of the floor or wall that needs to be tiled. This is done by multiplying the length by the width.
Next, you should determine the size of the tiles you plan to use. This could be in square meters or square feet depending on your measurement preference. Knowing the area of one tile will allow you to calculate how many tiles are needed to cover the entire room. You can do this by dividing the total area of the room by the area of one tile.
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A farmer increases the yield on his farm by 15%. If his previous yield was 6500 tonnes, what is his present yield
If 5.6 times 0.52= 2.912, then 0.56 times 520 =
Answer:
29120
Step-by-step explanation:
if 5.6 × 0.52 = 2912
then,
0.56 × 520 = 29120
through what radian angle measure does the minute hand pass between 9:05 A.M. and 9:47 A.M. leaves in terms of pi
The minute hand passes through an angle of 7π/30 Radians between 9:05 A.M. and 9:47 A.M.
The radian angle measure through which the minute hand passes between 9:05 A.M. and 9:47 A.M.
The minute hand completes one full revolution (360 degrees or 2π radians) every 60 minutes. Therefore, in one minute, it covers an angle of 2π/60 = π/30 radians.
Step 1: Determine the number of minutes from 9:05 A.M. to 9:47 A.M.
47 minutes - 5 minutes = 42 minutes.
Step 2: Calculate the angle covered in radians:
Angle in radians = (π/30) * (number of minutes)
Angle in radians = (π/30) * 42
Angle in radians = (7π/30).
Therefore, the minute hand passes through an angle of 7π/30 radians between 9:05 A.M. and 9:47 A.M.
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A golf pro wants to determine if Titleist Pro V1 golf balls (1) travel farther, on average, than Callaway Chrome Soft golf balls (2). A robot hits 9 of each ball, selected at random, and the distance traveled is measured. Assume the distances traveled are normally distributed. The average distance traveled by the 9 Titleist Pro V1 golf balls is 261.1 yards with standard deviation 10 yards, and the average distance traveled by the 9 Callaway Chrome Soft golf balls is 249.3 yards with standard deviation 12 yards.
Required:
Which test should the golf pro use to determine if Titleist Pro V1 golf balls travel a longer average distance than Callaway Chrome Soft golf balls?
The golf pro should use an independent samples t-test to determine if Titleist Pro V1 golf balls travel a longer average distance than Callaway Chrome Soft golf balls based on the provided information.
To determine if Titleist Pro V1 golf balls travel a longer average distance than Callaway Chrome Soft golf balls, the appropriate test to use in this scenario is the independent samples t-test.
The independent samples t-test is a statistical test used to compare the means of two independent groups and assess whether there is a significant difference between them.
In this case, we have two independent groups: the distances traveled by the Titleist Pro V1 golf balls and the distances traveled by the Callaway Chrome Soft golf balls. The golf balls within each group were randomly selected, and the distances are assumed to be normally distributed.
The independent samples t-test is suitable when the data meet the assumptions of normality and independence. The assumption of normality is satisfied since it is stated that the distances traveled by the golf balls are normally distributed.
The assumption of independence is met as well since the distances traveled by the Titleist Pro V1 golf balls and the Callaway Chrome Soft golf balls are measured independently from each other.
To perform the independent samples t-test, the following information is needed:
a) Sample mean (261.1 yards for Titleist Pro V1 and 249.3 yards for Callaway Chrome Soft)
b) Sample standard deviation (10 yards for Titleist Pro V1 and 12 yards for Callaway Chrome Soft)
c) Sample size (9 for both groups)
With this information, the golf pro can conduct the independent samples t-test to determine if there is a significant difference in the average distances traveled by the two types of golf balls.
The test will provide a p-value that indicates the probability of observing the difference in means (or a more extreme difference) under the assumption that there is no true difference in the populations.
If the p-value is below a predetermined significance level (commonly set at 0.05), the golf pro can conclude that there is evidence to suggest that Titleist Pro V1 golf balls travel a longer average distance than Callaway Chrome Soft golf balls.
Conversely, if the p-value is greater than the significance level, the golf pro would fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the average distances differ significantly.
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Identify the expression equivalent to 2x 8 by substituting x = 7 and x = 5. a. 2x 10 10 b. 2(x 2) c. (x 4) (x 4) d. (x 4) e. 2(2x 4)
the expression equivalent to 2x + 8 is (x+4) + (x+4)
using the commutative property we can say that
2x +8 = x + x + 8
also 2x + 8 = x + 4 + x + 4
hence 2x + 8 = (x+4) + (x+4)
What is an expression?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both.Addition, subtraction, multiplication, and division are all possible mathematical operations.There are two sorts of expressions in mathematics: numerical expressions, which only contain numbers, and algebraic expressions, which also include variables.In a mathematical expression, the following terms are used:An absolute numerical number is referred to as a constant.Variable: A symbol without a set value is referred to as a variable.Term: A term can be made up of a single constant, a single variable, or a mix of variables and constants multiplied or divided.a number that is multiplied by a variable is referred to as a coefficient.To know more about variable with the given
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18−4n=2n+60
what is n?
Answer:
18-4n=2n+60
18-60=2n+4n
-42=6n
-42/6=n
-7=n
In which quadrants do solutions for the inequality y is less than or equal to two thirds times x minus 4 exist?.
I, III, and IV quadrants.
What do the four graph quadrants represent?
The x and y and y-coordinates are both positive in quadrant I. X and Y coordinates in quadrant II are opposite one other. X and Y coordinates are both positive in quadrant III. In quadrant IV, the x-coordinate and y-coordinate are both positive.
Why are the first and third quadrants used?
Typically, we assume that after a projection is made on the horizontal plane, it spins clockwise. We employ first angle and third angle projection for this purpose. Because only within these two quadrants will we receive both viewpoints following the horizontal plane's clockwise rotation.
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Solutions for the inequality y is less than or equal to two-thirds times x minus 4 will exist in the I, III, and IV quadrants.
What do the four graph quadrants represent?
In quadrant I, the x and y coordinates are both positive. In quadrant II, the X and Y coordinates are orthogonal. In quadrant III, both the X and Y coordinates are positive. The x- and y-coordinates are both positive in quadrant IV.
What is the inequality's y-intercept?
Inequality y image result
Any straight-line's equation, known as a linear equation, can be written as y = mx + b,
Where m is the slope of the line and b is the y-intercept.
This line's y-intercept is the value of y at the point where the line intersects the y-axis.
Why are the first and third quadrants used?We usually assume that after a horizontal plane projection, it spins clockwise. For this, we use first and third-angle projections. Because only within these two quadrants will we receive both viewpoints after the horizontal plane rotates clockwise.
Solutions for the inequality y is less than or equal to two-thirds times x minus 4 will exist in the I, III, and IV quadrants.
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