Answer:
B. skewed rightStep-by-step explanation:
The distribution is skewed right because most data concentrated to the left (preschool age or younger) and have longer tail to the right.
The temperature rises 5 degrees every hour the heater is on. The temperature started at 40 degrees before the heater was on. How many hours would it take for the temperature to reach 85 degrees?
Answer:
9 hours
Step-by-step explanation:
All we need to do is subtract 40 from 85, giving us 45.
Then we divded 45 by 5 (degrees an hour) to get 9.
So 9 hours is our answer.
a) Work out the percentage population increase from 2001 to 2011.
Give your answer to 1 decimal place.
The percentage population increase from 2001 to 2011 is 50%.
To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.
The formula to calculate the percentage increase is:
Percentage Increase = ((New Value - Old Value) / Old Value) * 100
Plugging in the values:
Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%
Therefore, the percentage population increase from 2001 to 2011 is 50%.
Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.
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Find the time required for an object to cool from 280°F to 220°F by evaluating the following where t is time in minutes. (Round your answer to four decimal places.) *280 t= 10 In 2 1 dT T – 100 min
9514 1404 393
Answer:
5.8496 min
Step-by-step explanation:
\(\displaystyle t=\frac{10}{\ln{2}}\int_{220}^{280}{\frac{1}{T-100}}\,dT=\frac{10(\ln{(280-100)}-\ln{(220-100)})}{\ln{2}}=\frac{10\ln{(3/2)}}{\ln{2}}\\\\\boxed{t\approx5.8496\quad\text{min}}\)
__
Modern calculators can perform integration with high accuracy. This one gives the same result.
Find the equation of the line.
Use exact numbers.
y= __x+__
Answer:
y = -1/3x + 5
Step-by-step explanation:
y-intercept: 5
Slope: -1/3x
7.
(02.01 MC)
Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.
A line graph with Distance, in yards, on the x axis and Age of Runner on the y axis. The x axis has a scale from 0 to 80 in increments of 10. The y axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6 and 60, 6 is drawn.
Which statement best describes the domain of the function represented in the graph? (1 point)
6 ≤ x ≤ 60, or x is from 6 to 60
6 ≤ x ≤ 20, or x is from 6 to 20
0 ≤ x ≤ 20, or x is from 0 to 20
20 ≤ x ≤ 60, or x is from 20 to 60
HELP
The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.
What is a line segment?A line segment in mathematics has two different points on it that define its boundaries.
A line segment is sometimes referred to as a section of a path that joins two places.
Six-year-old students at an elementary school were given a 20-yard head start in a race. The graph shows how far the average student ran in 30 seconds.
A line graph with Distance, in yards, on the x-axis and Age of the Runner on the y-axis. The x-axis has a scale from 0 to 80 in increments of 10. The y-axis has a scale of 0 to 8 in increments of 2. A straight line connecting 20, 6, and 60, 6 is drawn.
The domain of the function represented in the graph will be 20 ≤ x ≤ 60, or x is from 20 to 60. Then the correct option is D.
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Answer:
the correct option is D
Step-by-step explanation:
HELP ASAP PLEASEEEEEEEEEE
A possible perimeter for the rectangular table that was built by Irene is 50 inches.
My thinking was gotten by getting the dimensions and then using the perimeter formula to solve it.
How to calculate the perimeter?From the information given, it should be noted that the area of the rectangle is given as 114 square inches. A dimension that can give this is 19 inches and 6 inches
The perimeter of a rectangle is calculated as:
= 2(Length + Width)
= 2(19 inches + 6 inches)
= 2(25 inches)
= 2 × 25
= 50 inches
The perimeter is 50 inches.
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A quarter has a mass of 0.006 kg, a tennis ball has a mass of 0.06 kg, and a basketball has a mass of 0.6 kg. Answer choices: 1000 times 100 times 10 times One tenth One hundredth One thousandth The mass of a quarter is ______ the mass of a tennis ball. The mass of a tennis ball is ______ the mass of a basketball. This means that the mass of a quarter is ______ the mass of a basketball.
Answer:
Don’t know
Step-by-step explanation:
Sorry
x^2 + y^2 +2x+6y=26
what is the center
what is the radius
please show calculations/steps
Answer:
centre = (- 1, - 3 ) , radius = 6
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² + 2x + 6y = 26 ( collect x and y terms )
x² + 2x + y² + 6y = 26
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 26 + 1 + 9
(x + 1)² + (y + 3)² = 36 ← in standard form
with centre = (- 1, - 3 ) and r = \(\sqrt{36}\) = 6
\((x {}^{2} + 2x + 1) - 1 = (x + 1) {}^{2} - 1\)
\((y {}^{2} + 6y + 9) - 9 = (y + 3) {}^{2} - 9\)
\((x + 1) {}^{2} - 1 + (y + 3) {}^{2} - 9 = 26\)
\((x + 1) {}^{2} + (y + 3) {}^{2} = 26 + 10\)
\((x + 1) {}^{2} + (y + 3) {}^{2} = 36\)
General form:\((x - a) {}^{2} + (y - b) {}^{2} = r {}^{2} \)
Center coordinates: I ( a , b ) I ( -1 , -3 )Radius:\(r {}^{2} = 36\)
\(r = \sqrt{36} = 6\)
If triangle ABC is reflected across the line y = x, are the pre-image and image congruent? Why, or why not?
OYes, distance and angle measure are preserved
OYes, angle measure is preserved and distance is not
O No, distance is preserved but angle measure is not
O No, neither distance nor angle measure are preserved
The correct answer is: O Yes, distance and angle measure are preserved.
When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.
This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.
Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.
Here's why:
Distance preservation:
When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.
This holds true for all corresponding points of the triangle.
Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.
Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.
Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.
It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.
If the line of reflection were different, the triangles would not be congruent.
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Can someone please help awnser these questions!
vests are on sale for about $30 using this method as well.
Both methods yield the same estimated sale price of $30 for the vest.
What is the percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
The question asks us to estimate the sale price of a vest. Two methods are given to find the estimated sale price:
Method 1: Subtract the Discount
In this method, we first round the original price of the vest, $42, to a convenient value, such as $40.
Then, we determine the amount of the discount by finding 25% of $40, which is $10.
Next, we subtract the discount from the rounded price, $40 - $10 = $30.
Therefore, vests are on sale for about $30 using this method.
Method 2: Find What's Left After the Discount
In this method, we also round the original price of the vest to $40.
Then, we determine the percent that is left after the discount by subtracting the discount percent (25%) from 100%. This gives us 75%.
We then determine the discount by dividing the original price by 4 (since 25% is equivalent to 1/4). This gives us $10 as well.
Finally, we determine the sale price by finding 75% of the rounded price, which is 0.75 x $40 = $30.
Therefore, vests are on sale for about $30 using this method as well.
Both methods yield the same estimated sale price of $30 for the vest.
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Someone please help me
{1, √2, √√3, 2, √5, ...}
need help knowing the sequence and the 3 next terms
Answer:
3, 2√2, √7
Step-by-step explanation:
compute the square roots of the next three prime numbers:
√7
√11
√13
Therefore, the next three terms of the sequence are:
{1, √2, √3, 2, √5, √7, √11, √13}
chatgpt
chat
Almanah is baking cookies. She has a bag that contains 300 cookies. If she wants to bake a batch of 40 cookies with 6 chocolate chips in each, will she have enough chocolate chips?
Answer:
Did you mean she has a bag that contains 300 chips? if so yes.
Step-by-step explanation:
If each cookie gets 6 chips and she makes 40 cookies, you can use multiplication to see.
6*40=240
She has plenty, 60, of chocolate chips left over
2 - 3 cos²(x) = 2 sin(x)
The solution of the given equation are,
\(x=\frac{\pi }{2}+2n\pi , x = -0.33983 + 2n\pi , x = \pi +0.33983+2n\pi\)
What is solution of the equation?
In order to make the equation's equality true, the unknown variables must be given values as a solution. In other terms, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transform the equation into an equality.
Consider, the given equation
\(2-3cos^2(x)=2sin(x)\)
⇒ \(2-3cos^2(x) - 2sin(x)=0\)
Since, \(cos^2(x) = 1-sin^2(x)\)
Plug this value in the above equation.
\(2-3(1-sin^2(x))-2sin(x)=0\\2-3+3sin^2(x)-2sin(x)=0\\-1+3sin^2(x)-2sin(x)=0\\3sin^2(x)-2sin(x)-1=0\\\)
Substitute \(sin(x) = u\)
⇒
\(3u^2-2u-1=0\\3u^2-3u+u-1=0\\3u(u-1)+1(u-1)=0\\(u-1)(3u+1)=0\)
⇒
\((u-1)=0, (3u+1)=0\\u=1, u=-\frac{1}{3}\)
Back substitute: u = sin(x)
⇒
\(sin(x) = 1\\sin(x) = -\frac{1}{3}\)
For,
\(sin(x)=1 , x = \frac{\pi }{2}+2n\pi \\ sin(x)=-\frac{1}{3}, x = arcsin(-\frac{1}{3} )+2n\pi , x = \pi +arcsin(\frac{1}{3})+2n\pi\)
Combine all solutions, the we get
\(x=\frac{\pi }{2}+2n\pi , x = -0.33983 + 2n\pi , x = \pi +0.33983+2n\pi\)
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Complete question:
Solve the equation for x, 2 - 3 cos²(x) = 2 sin(x)
Amala is standing on the terrace of a building 85 m high. She threw a stone into a pit which is 32 m deep. Find the distance covered by the stone
Answer:
117m
Step-by-step explanation:
you add both values because it falls from the building and then through the pit.
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
A bag is filled with an equal number of red, yellow, green, blue, and purple marbles. The theoretical probability of Jonah drawing 2 red marbles from the bag with replacement is one fifth. If the experiment is repeated 100 times, what is a reasonable prediction of the number of times he will select 2 red marbles?
one fifth
5
20
25
Answer:
20
Step-by-step explanation:
The theoretical probability of drawing 2 red marbles from the bag with replacement is one-fifth, which means that the probability of drawing 2 red marbles in any one trial is 1/5 or 0.2.
The number of times Jonah is expected to select 2 red marbles in 100 trials can be predicted using the expected value formula:
Expected value = (Number of trials) x (Probability of success in one trial)
Expected value = 100 x 0.2
Expected value = 20
Therefore, a reasonable prediction of the number of times Jonah will select 2 red marbles in 100 trials is 20. Therefore, the answer is 20.
Answer: 20 i took the test
Step-by-step explanation:
−4x−2 + 3y0 if x = 2 and y = 5
Hey there!
-4x^-2 + 3y^0
= -4(2)^-2 + 3(5)^0
= -4(1/4) + 3(5)^0
= -1 + 3(5^0)
= -1 + 3(1)
= -1 + 3
= 2
Therefore, the answer should be: 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please help to solve: 2+2*3
Answer:
Answer: 8 this is the answer
Answer:
8
Step-by-step explanation:
1) Simplify 2 × 3 to 6.
2 + 6
2) Simplify.
8
Simplify the variable expression by evaluating its numerical part, and enter
your answer below.
(48-17) - w
Answer here
SUBMIY
The simplified version of the expression would be 31-w
The numerical part of the expression given is :
48-17Simplifying using Subtraction operation:
48-17 = 31Adding the alphabetical part :
31 - wTherefore, the simplified form of the expression is 31-w.
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PLEASE HELPE ME FAST
Answer:
S would now only be 3 units from R instead of 6 units from R. Move S three units to the left.
Step-by-step explanation:
Triangle TUV is dilated by a scale factor of 2.5
The coordinates of V' include the following: V' (-5, -10).
What is a dilation?In Geometry, a dilation is a type of transformation which typically changes the side lengths of a geometric object, but not its shape.
This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would increase or decrease depending on the scale factor applied.
In this scenario an exercise, we would dilate the coordinates of V at (-2, -4) by applying a scale factor of 2.5 that is centered at the origin as follows:
V (-2, -4) → V' (-2 × 2.5, -4 × 2.5) = V' (-5, -10).
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please help me out with my geometry i need to pass my class :)
The required measure of the mAD is given as 138°.
Following the property, of the angle subtended by chords,
∠B = ∠C
11x - 9 = 8x + 15
11x - 8x = 15 + 9
4x = 24
x = 7
mAD = 2∠C
= 2(8 *7 + 15)
= 2(69)
= 138
Thus, the required measure of the mAD is given as 138°.
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Find the value of x to the nearest tenth
34
59°
х
Answer:
66.0is your answer.
cos59=34/x
x=34/cos59=66.01
video
game costs $49 before tax. The sales tax is 6.35%. What is the
total cost? *
$52.11
$55.35
$3.11
$45.89
Answer:
$52.11
Step-by-step explanation:
6.35% = 0.0635
49+0.0635 = 52.115
VI. In a class of 40 students, the marks obtained in Mathematics (out of 50) are as under: 44,50,44,49,42,47,45,42,44,48,49,48,47 49,47,41,45,48,41,48,41,42,47,49,49,48, 50.47.49.48.46.44.45.45.46.44.42.47.48.45 ow answer the following questions: a) b) c) d) e) Find the number of students getting more than 45 marks. Find the number of students getting less than 45 marks. Find the maximum number of students getting the same marks. Find the average marks obtained by the students in the class. Find the number of students getting more than average marks.
a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.
In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.
Counting these numbers, we find that there are 17 students who obtained more than 45 marks.
b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.
In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.
Counting these numbers, we find that there are 15 students who obtained less than 45 marks.
c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.
In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.
Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.
d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.
Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45
= 1912
Total number of students = 40
Average marks = Total marks / Total number of students
= 1912 / 40
= 47.8
Therefore, the average marks obtained by the students in the class is 47.8.
e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.
In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,
49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.
Counting these numbers, we find that there are 40 students who obtained more than the average marks.
Ruth has pennies and dimes in her pocket. The number of dimes is twelve less than twice the number of pennies. Let p represent the number of pennies. Write an expression for the number of dimes.
Solve for y.
4y2 +9y=-2
Which number is equivalent to 2 to the negative 5th power?
Answer:
1/32 or 0.03125
Step-by-step explanation:
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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