Answer:
C ≈ 25.1 yd
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( r is the radius ) , then
C = 2π × 4 = 8π ≈ 25.1 yd ( to the nearest tenth )
Answer:
25.1
Step-by-step explanation:
Formula of Circumference: 2πr
Radius: 4yd
Diamteter: 8yd
π = 3.14
= 2 x π x r
= 2 x 3.14 x 4
= 25.12
Rounded up:
= 25.1
Two barrels, that are each cylinders with a radius of 2 feet, are filled with juice. The smaller barrel has a height of 3 feet. The larger barrel has a height of 5 feet. The total volume of the barrels is 100.48 cubic feet
a. What is the volume of the larger barrel?
b. Explain how you can find the volume of the smaller barrel?
step by step solution please thank you
Step-by-step explanation:
a. the volume of the larger barrel =
π.r².h = 3.14 × 2² × 5
= 3.14 × 20
= 62.8 cu. ft
b. the volume of the smaller barrel =
3.14 × 2² × 3
= 3.14 × 12
= 37.68 cu. ft
or it can find the volume by using
the subsraction :
100.48 - 62.8 = 37.68 cu. ft
which could be the sides of a right triangle? a 2.5 cm, 6.5 cm, 6 cm b 2 cm, 2 cm, 5 cm c 1.5 cm, 2.5 cm, 4 cm d 2 cm, 3 cm, 5 cm
The option that could be the sides of a Right Triangle is 2.5 cm, 6.5 cm, 6 cm , the correct option is (a) .
In the question ,
it is given that ,
four options are given that have the three sides of the triangle ,
we have to select the sides that forms a right triangle .
If the sides form a right triangle , then
square of the longest side is equal to square of the other two sides .
In option (a) the sides are given as 2.5 cm, 6.5 cm, 6 cm .
So ,
(6.5)² = 6² + (2.5)²
42.25 = 42.25
Since LHS = RHS ,
So , Yes , the sides given in option (a) forms a right triangle .
Therefore , the correct option is (a) .
The given question is incomplete , the complete question is
Which could be the sides of a right triangle ?
(a) 2.5 cm, 6.5 cm, 6 cm
(b) 2 cm, 2 cm, 5 cm
(c) 1.5 cm, 2.5 cm, 4 cm
(d) 2 cm, 3 cm, 5 cm
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navy pilots the us navy requires that fighter pilots have heights between 62 inches and 78 inches. (a) find the percentage of women meeting the height requirement. (b) find the percentage of men meeting the height requirement. (c) if the height requirements are changed to exclude the tallest 10% of men and
Approximately 78.76% of women meet the height requirement. Approximately 90.14% of men meet the new height requirement.
The US Navy requires that fighter pilots have heights between 62 inches and 78 inches. Given that information, let's answer the following questions:
(a) Find the percentage of women meeting the height requirement. If there is no information on how the height of women is distributed, let's assume that their height follows a normal distribution. The mean height for women in the US is about 64 inches with a standard deviation of about 2.5 inches. We can use the z-score formula to standardize the height to the standard normal distribution:
z = (x - µ) / σ
where x is the height, µ is the mean, and σ is the standard deviation.
For the lower bound of the height requirement, we have:
z = (62 - 64) / 2.5 = -0.8
For the upper bound, we have:
z = (78 - 64) / 2.5 = 5.6
To find the percentage of women meeting the height requirement, we need to find the area under the standard normal distribution curve between z = -0.8 and z = 5.6. We can use a table or a calculator to do this. Using a calculator, we get:
P(-0.8 ≤ z ≤ 5.6) = 0.9995 - 0.2119 = 0.7876
So, approximately 78.76% of women meet the height requirement.
(b) Find the percentage of men meeting the height requirement. Using the same reasoning, we can assume that the height of men also follows a normal distribution with mean µ = 70 inches and standard deviation σ = 2.5 inches. For the lower bound of the height requirement, we have:
z = (62 - 70) / 2.5 = -3.2
For the upper bound, we have:
z = (78 - 70) / 2.5 = 3.2
To find the percentage of men meeting the height requirement, we need to find the area under the standard normal distribution curve between z = -3.2 and z = 3.2. Using a calculator, we get:
P(-3.2 ≤ z ≤ 3.2) = 0.9982 - 0.0018 = 0.9964
So, approximately 99.64% of men meet the height requirement.
(c) If the height requirements are changed to exclude the tallest 10% of men. If the height requirements are changed to exclude the tallest 10% of men, we need to find the new cutoff height. We can use the inverse normal distribution function (also called the z-score function) to find the z-score corresponding to the 90th percentile of the standard normal distribution. Using a table or a calculator, we get: z = 1.28
This means that the height cutoff for men will be at a z-score of 1.28 above the mean. We can use the z-score formula to find this height:
x = zσ + µ = 1.28 × 2.5 + 70 = 73.2 inches
So, the new height requirement for men will be between 62 and 73.2 inches. To find the percentage of men meeting this requirement, we can repeat the steps we used in part (b), using 73.2 as the upper bound instead of 78. We get:
P(-3.2 ≤ z ≤ 1.28) = 0.9032 - 0.0018 = 0.9014
So, approximately 90.14% of men meet the new height requirement.
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Prof Plum's class has a mean of 75.6 and a standard deviation of 25.75.
Prof Scarlett's class has a mean of 77.5 and a standard deviation of 11.83.
Prof Plum's class:
What percentile would be a raw score of 69 be?
P=39.74%
What percentile would a raw score of 100 be?
P=82.89%
What percentage of students received a score 70 or above?
P=58.71%
What percentage of students received a score 80 or above?
P=43.25%
What are the raw scores that bound the middle 95% of distribution?
21.13 and 126.07
What percentage of scores are below 100?
P=82.89
What raw score has 99% below it?
135.6
What percentage of scores are between 90 and 110?
P=19.76%
What percentage of scores are between 60 and 80?
P= 29.66%
Prof Scarlett's class:
What percentile would be a raw score of 69 be?
P=23.58%
What percentile would a raw score of 100 be?
P=97.13%
What percentage of students received a score 70 or above?
P=73.57%
What percentage of students received a score 80 or above?
P=41.68%
What are the raw scores that bound the middle 95% of distribution?
54.31 and 100.69
What percentage of scores are below 100?
P=97.13%
What raw score has 99% below it?
105.06
What percentage of scores are between 90 and 110?
P=14.16%
What percentage of scores are between 60 and 80?
P=51.38%
B. Please answer the below problems by computing the Z scores and indicating who did better?
1. Two friends are taking statistics courses this semester and wanted to compare who was doing best. Gabriel was taking statistics with Prof. Scarlett, whereas Michael was taking statistics with Prof. Plum. Gabriel got 85 on the first exam whereas Michael got a 88. Who got a better grade? Indicate their relative percentiles.
2. Aviva and Catherine both got a 93 on the first statistics exam. Aviva is in Prof. Plumes class, whereas Catherine is in Prof. Scarlett's class. Who received the better grade? Indicate their relative percentiles.
3. Leslie and Sam both got a 71 on the first statistics exam. Sam is in Prof. Plumes class, whereas Leslie is in Prof. Scarlett's class. Who received the better grade? Indicate their relative percentiles.
1. Michael is a better grader.
2. Catherine received the better grader.
3. Sam received the better grader.
THE GRADE RANK CALCULATIONGabriel got a 85, which corresponds to a Z-score of -0.36 in Prof. Scarlett's class. Michael got a 88, which corresponds to a Z-score of 0.32 in Prof. Plum's class. Gabriel's grade corresponds to the 73.57th percentile, and Michael's grade corresponds to the 74.29th percentile. Michael got a slightly better grade, as he scored higher on the exam and his Z-score is higher.Aviva got a 93, which corresponds to a Z-score of 1.26 in Prof. Plum's class. Catherine got a 93, which corresponds to a Z-score of 1.96 in Prof. Scarlett's class. Aviva's grade corresponds to the 84.29th percentile and Catherine's grade corresponds to the 97.13th percentile. Catherine received a better grade as her Z-score and percentile is higher.Leslie got a 71, which corresponds to a Z-score of -0.99 in Prof. Scarlett's class. Sam got a 71, which corresponds to a Z-score of -0.58 in Prof. Plum's class. Leslie's grade corresponds to the 23.58th percentile, and Sam's grade corresponds to the 41.29th percentile. Sam received a better grade as his Z-score and percentile is higher.Learn more about Grade Rank here:
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HELP! I'LL GIVE BRAINLIEST!!!!! Which of the following functions best describes this graph?
Find 30% more than Rs.300.
Answer:
Rs. 390
Step-by-step explanation:
Question : 30% more than Rs.300.
Answer with explanation
30% of 300 is :
300 × 30 % = Rs. 90
According to the question, they are asking for 30 % more than 300.
For that you have to add 90 ( 30% of 300 ) to 300.
Let us solve now.
Rs. 300 + Rs. 90 0= Rs.390
Therefore , 30% more than Rs.300 is Rs. 390
Hope this helps you :-)
Let me know if you have any other questions :-)
please give me 5 stars
Consider a set of data in which the sample mean is 33.7 and the sample standard deviation is 7.2. Calculate the z-score given that x = 30.2. Round your answer to two decimal places
The z-score for x = 30.2 is approximately -0.49.
What is z-score measures?
The z-score, also known as the standard score, is a measure used in statistics to quantify the number of standard deviations that a given data point is from the mean of a dataset.
To calculate the z-score for x = 30.2, we use the formula:
z = (x - μ) / σ
where x is the observed value, μ is the population mean, and σ is the population standard deviation. In this case, we are given the sample mean and sample standard deviation, so we will use them as estimates for the population parameters.
Substituting the given values, we have:
z = (30.2 - 33.7) / 7.2
Simplifying, we get:
z = -0.49
Rounding to two decimal places, we have:
z ≈ -0.49
Therefore, the z-score for x = 30.2 is approximately -0.49.
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Identify whether the relationship between a and b in the image below is complementary, or linear pair/supplementary.
I’m thinking it’s complementary?
Answer:
Complementary angles.
Step-by-step explanation:
Complimentary angles means sum of angles = 90°
Supplementary angles of linear pair means sum of pair of angles = 180°
As shown in the picture attached, sum of both the angles 'a' and 'b' is equal to 90°,
a + b = 90°
Angles 'a' and 'b' will be complementary angles.
If you move from 0 to 15 on the number line, you are representing all of the following except _____. the opposite of 15 the absolute value of 15 the distance between zero and 15 the opposite of −15
You are representing all except (a) the opposite of 15
How to determine the odd option in the listFrom the question, we have the following parameters that can be used in our computation:
Moving from 0 to 15 on a number line
From the above, we have
Distance = 15 - 0
So, we have
Distance = 15
Analysing the list of options, we have
the opposite of 15 is - 15the absolute value of 15 is 15the distance between zero and 15 is 15the opposite of −15 is 15Hence, the odd option in the list is (a) the opposite of 15
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Which equation represents the hanger below. x represents the triangles while y represents the square
Answer:
Which equation represents the hanger below. x represents the triangles while y represents the square
Answer:
Step-by-step explanation:
so first divide
multiply and subtract
and think a little
there its easy :D
What is equidistant from the angles of a triangle?
The circumcenter of a triangle is the point in the plane equidistant from the three vertices of the triangle.
In geometry, the circumscribed circle or circumcircle of a polygon is a circle that passes through all the vertices of the polygon. The center of this circle is called the circumcenter and its radius is called the circumradius.
Not every polygon has a circumscribed circle. A polygon that does have one is called a cyclic polygon, or sometimes a concyclic polygon because its vertices are concyclic. All triangles, all regular simple polygons, all rectangles, all isosceles trapezoids, and all right kites are cyclic.
A related notion is the one of a minimum bounding circle, which is the smallest circle that completely contains the polygon within it, if the circle's center is within the polygon. Every polygon has a unique minimum bounding circle, which may be constructed by a linear time algorithm.
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I have no idea i tried looking it up but i can not find the answer or help
Answer:
The answer is B-15:18 based on a 24hr clock
2x - 4 = 10
Step by step (and explanation)
Right answer
Answer:
\(2x - 4 = 10 \\ 2x = 10 + 4 \\ 2x = 14 \\ x = \frac{14}{2} \\ x =7\)
Step-by-step explanation:
please mark me brainliest please
2x - 4 = 10
Add 4 to both sides:
2x - 4 + 4 = 10 + 4
Combine like terms:
2x = 14
Divide both sides by 2:
2x/2 = 14/2
Simplify:
X = 7
Answer: x = 7
HELP ME PLEASE IM BEING TIMED
Answer:
Van: 16, Bus: 36
Step-by-step explanation:
13v + 7b = 460
6v + 14b = 600
-26v - 14b = -920
6v + 14b = 600
-20v = -320
v = 16
6v + 14b = 600
96 + 14b = 600
14b = 504
b = 36
Answer: Van: 16, Bus: 36
f(-5) if f(x) = -x - 4
Answer:
1
Step-by-step explanation:
36. Factorize x-12x + 20
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Even if Tom walks
of a mile more than
of the distance he walks to
school every day, the result is still less than
of a mile. How far does
10
Tom walk to school every day?
Answer:
Ok
Explanation:
help fast please due soon
Find two other pairs of polar coordinates of the given polar coordinate, one with
r > 0
and one with
r < 0.
Then plot the point.
(a)
(3, π/4)
(b)
(2, −2π/3)
(c)
(−2, π/6)
Step-by-step explanation:(a) To find two other pairs of polar coordinates of (3, π/4):
One with r > 0: (3, 9π/4)
One with r < 0: (-3, 5π/4)
To plot the point (3, π/4), we start at the origin and move 3 units along the line that makes an angle of π/4 radians with the positive x-axis.
(b) To find two other pairs of polar coordinates of (2, -2π/3):
One with r > 0: (2, 4π/3)
One with r < 0: (-2, π/3)
To plot the point (2, -2π/3), we start at the origin and move 2 units along the line that makes an angle of -2π/3 radians (which is the same as 4π/3 radians) with the positive x-axis.
(c) To find two other pairs of polar coordinates of (-2, π/6):
One with r > 0: (2, 7π/6)
One with r < 0: (-2, 19π/6)
To plot the point (-2, π/6), we start at the origin and move 2 units in the direction that makes an angle of π/6 radians with the positive x-axis, but since r is negative, we move in the opposite direction. So we end up at a point on the line that makes an angle of 7π/6 radians with the positive x-axis.
Brittany has a black skirt, a violet skirt, a white skirt, and a red skirt. She has a yellow top, a pink top, and a green top. She wants to wear a skirt and a top. What are all the possible outcomes? How many possible outcomes are in the sample space?
7 possible outcomes: BB, VV, WW, RR, YY, PP, GG
12 possible outcomes: BY, BP, BG, VY, VP, VG, WY, WP, WG, RY, RP, RG
7 possible outcomes: B, V, W, R, Y, P, G
12 possible outcomes: BY, BP, BG, BV, BW, BR, VY, VP, VG, VB, VW, VR
Answer:
B
Step-by-step explanation:
12:
BY, BP, BG, VY, VP, VG, WY, WP, WG, RY, RP, RG
Solve -3 < 2x + 3 < 5
The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).
Inequality:
When the symbols ">", "<", "≤", or "≥" are used to connect two real numbers or algebraic expressions, that relationship is known as an Inequality.
Here the given Inequality is -3<2x+3≤5
⇒ -3<2x+3≤5
⇒-3-3 < 2x+3-3 ≤ 5-3 { add -3 on both the sides }
⇒-6 < 2x ≤ 2
⇒-3 < x ≤ 1
⇒-3 < x and x ≤ 1
⇒ x > -3 and x ≤1
Therefore,The solution of the given Inequality i.e. -3<2x+3≤5 is x > -3 and x ≤1 (option B).
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Use a quadratic equation to find two real numbers with a sum of -15 and a product of -54
The two real numbers with a sum of -15 and a product of -54 are -18 and 3.
What is defined as the quadratic equation?A quadratic equation, or simply quadratics, is a polynomial equation with the highest degree of two. It is written as follows:ax² + bx + c = 0in which x is the unknown element and the constant terms are a, b, and cVariable x's power always is non-negative integers. As a result, this same equation is a polynomial with the highest power as 2Let α and β be the two roots of the quadratic equation.
Then,
sum of roots; α + β = -15
Product of roots: α β = -54
The quadratic equation in the form of roots are -
x² - (α + β)x + αβ = 0
x² - (-15)x - 54 = 0
x² + 15x - 54 = 0
Factorize the above quadratic equation.
x² + 18- 3x - 54 = 0
(x + 18)(x - 3) = 0
x = -18 and x = 3
Thus, the two real numbers with a sum of -15 and a product of -54 are -18 and 3.
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what is the image of the point (-1,9) after a rotation of 180 counterclockwise about the origin?
Answer:
(1,-9)
Step-by-step explanation:
What is the domain of the function on the graph?
all real numbers all real numbers greater than or equal to 0.
all real numbers greater than or equal to -2.
all real numbers greater than or equal to-3
may be equal to 3 I think
Answer:
D: all real numbers greater than or equal to –3
Step-by-step explanation:
edg2021
Gavin was thinking of a number. Gavin adds 9 to it, then doubles it and gets an answer of 83.2. What was the original number?
Answer: it is 32.6
Step-by-step explanation:
The orginal number that Gavin was thinking of is 32.60.
What is the original number?
Let the orginal number be represented with y
Gavin adds 9 to the original number: 9 + y
The answer is doubled: 2(9 + y)
The answer is 83.2: 2(9+y) = 83.2
In order to determine the value of y, take the following steps:
Divide both sides of the equation by 2
9 + y = 41.60
Subtract 9 from both sides of the equation
y = 41.60 - 9
y = 32.60
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Angle 3 and 4 are supplementary angles if m 4=100^0 and m 3=(11x)^0 find the value of x
Answer:
x = 7.272727...
x ~= 7.27 (nearest hundredth)
x ~= 7.3 (nearest tenth)
Step-by-step explanation:
"Supplementary" means the angles add up to 180°.
100 + 11x = 180
11x = 80
x = 7.272727...
Vineisha earned 22 out of 20 points on her science quiz over the phases of the moon due to an extra credit question. What percent did she earn on the quiz?
Vineisha earned 110 percent on the science quiz which was about the phases of the moon.
How to calculate the percent earned ?Vineisha earned 22 out of 20 points on her science quiz over the phases of the moon
The percent earned can be calculated by dividing 20 by 22 and then multiplying the result by 100
22/20 × 100
= 1.1 × 100= 110
Hence the percent she earned on the quiz is 110%
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IN NEED OF HELPP!!! I WILL GIVE 100 points
Answer:
Below
Step-by-step explanation:
The diagonal will be ( remember Pythagorean theorem?) ....this is like the Pyhtag theorem in 3-D
d^2 = 6^2 + 8^2 + 11^2
d^2 = 221
d = 14.9 cm
Which expression is equivalent to 73⋅ 7−5?
Answer:
1 over 7 to the 2nd power
Step-by-step explanation:
Answer:
By the order of operations, this expression evaluates to:
73 * 7 - 5 = 511 - 5 = 506
Step-by-step explanation:
You need an expression that is equivalent to this result once the expression is evaluated.
Find the midpoint of (-8,-10) and (8,0)
Answer:
(0,-5)
Step-by-step explanation:
You just have to find the middle of each one
From -8 to 8 there are 16 numbers so you divide 16 by 2 which would be 8 and add that to -8 giving you 0
From -10 to 0 there are 10 numbers divided by 2 is 5 so you add 5 to -10 giving you -5
This makes your midpoint (0,-5)