Answer:
(A) The mean temperature for the second week is 4.86 degrees Celsius.
(B) The mean absolute deviation for the second week is 4.86 degrees Celsius.
(C) The second week had greater variability in high temperature.
Step-by-step explanation:
We are given that the daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius.
Here is a list of the high temperatures, in degrees Celsius, for the second week;
5, 9, 7, 0, 3, 5, 5
(A) The mean temperature for the second week is given by;
Mean = [tex]\frac{\text{Sum of all data values}}{\text{Total number of values}}[/tex]
= [tex]\frac{5+9+7+0+3+5+5}{7}[/tex]
= [tex]\frac{34}{7}[/tex] = 4.86 degrees Celsius
(B) Mean absolute deviation for the second week is calculated as;
Firstly, subtracting mean from each data value;
| 5 - 4.86 | = 0.14
| 9 - 4.86 | = 4.14
| 7 - 4.86 | = 2.14
| 0 - 4.86 | = 4.86
| 3 - 4.86 | = 1.86
| 5 - 4.86 | = 0.14
| 5 - 4.86 | = 0.14
Now, we will find the mean of these deviations;
Mean absolute deviation = [tex]\frac{0.14+4.14 + 2.14+4.86+1.86+0.14+0.14}{7}[/tex]
= [tex]\frac{13.42}{7}[/tex] = 1.92 degrees Celsius
(C) The second week had greater variability in high temperature because it's mean absolute deviation is greater than that of first week. And also the mean absolute deviation tells us that on average how far the data values are from the mean.
A whippet runs 50 feet in one second. An ostrich can run at 40 mph. A giraffe runs half a mile in a minute. A domestic cat scurries 15 yards in one second. Which animal is fastest?
Answer:
Step-by-step explanation:
You need to translate these into a common rate.
feet / second is probably the best one.
Whippet: 50/1 = 50 feet / second.
Ostrich: 40 miles/ hour = 40 *[ 1 hour/3600 sec] * [5280 feet / mile] = 58.67 ft/sec
Giraffe: 1/2 mile / minute * [1 minute/60 sec]*[5280 feet/mile] = 1/2 * 5280/60 = 44 feet/second
Cat: 15 yards / sec [ 3 feet/ yard] = 45 feet / second
Looks like the Ostrich is the fastest.
ms.garcia’s seventh grade class is collecting aluminum cans yo buy new board games. They receive $0.35 for each pound of cans they collect.What is the minimum number of pounds of aluminum cans they need to collect in order to purchase a broad game that cost $27.20
Answer:
The minimum number of pounds they need to collect is 78
Step-by-step explanation:
27/0.35 = 77.7
but in this specific problem you can't have less than part of a pound, so the final answer would be 78 pounds
A horizontal line has points D, B, C. A line extends vertically from point B to point A. Given that Ray B A bisects ∠DBC, which statement must be true? m∠ABD = m∠ABC AB ≅ BC B is the midpoint of DC. m∠DBC = 90°
Answer:
The Answer Is: m∠ABD = m∠ABC
Step-by-step explanation:
I just took the test
A line is a one-dimensional shape that is straight. The statement that must be true about the given condition is A, m∠ABD=m∠ABC.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given that a horizontal line has points D, B, C. A line extends vertically from point B to point A. Also, Ray BA bisects ∠DBC. Therefore, the diagram for the given condition can be made as shown below.
Thus, the statement that must be true is m∠ABD = m∠ABC. This is because ∠DBC is a straight line, therefore, its measure will be 180°. And since Ray BA bisects ∠DBC. Therefore, the measure of m∠ABD = m∠ABC = 90°.
Hence, the statement that must be true about the given condition is A, m∠ABD = m∠ABC.
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Charlotte drove 304 miles in 8 hours. If she continued at the same rate, how long would it take to travel 190 miles?
The time to travel 190 miles will be 5 hour.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Charlotte drove 304 miles in 8 hours.
And, She continued at the same rate.
Now,
Since, Charlotte drove 304 miles in 8 hours.
Hence, The speed is,
Speed = Distance / time
= 304 / 8
= 38 miles / h
So, For travel 190 miles at same rate;
Time = Distance / Speed
= 190 / 38
= 5 hour
Thus, The time to travel 190 miles will be 5 hour.
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Which pair of undefined terms is used to define the term parallel lines?
Answer:
The undefined terms needed to define parallel lines are 'lines' and 'points. ' In geometry, there are three undefined terms: points, lines
Step-by-step explanation:
busco novia lesbiana mi inta es Arianaprince1
Answer:
Step-by-step explanation:
Ok que bueno sigue tu sueño amiga
0.05 is 1/10 of a decimal as
Answer:
1/10 =0.1 in decimal
Step-by-step explanation:
Write an expression for the sequence of operations described below. triple u, then multiply t by the result
Answer:
t(3u)
Step-by-step explanation:
First we have to triple (x3) u, which is what gets us 3u. Then we multiply that result by t.
This gives us: t(3u)
Remember, this problem is asking for you to write an expression, not and equation. That is why there is not an equal sign included in the answer.
GEOMETRY: need some help on these equations, i'm giving a lot of points for this.
Answer:
1) ML=93
2) GE=58
Step-by-step explanation:
1)
We want to find ML.
So, we need to find x first.
Note that the entire segment, NK, is the addition of the segments NM, ML, and LK. So:
[tex]NM+ML+LK=NK[/tex]
And we know their equations. So, substitute 110+4x for NM, x+103 for ML, 70 for LK, and x+243 for NK. Thus:
[tex](110+4x)+(x+103)+(70)=x+243[/tex]
On the left, combine like terms:
[tex](4x+x)+(110+103+70)=x+243[/tex]
Add:
[tex]5x+283=x+243[/tex]
Subtract 283 from both sides:
[tex]5x=x-40[/tex]
Subtract x from both sides:
[tex]4x=-40[/tex]
Divide both sides by 4:
[tex]x=-10[/tex]
So, the value of x is -10.
Substitute this into ML to find it. So:
[tex]ML=(-10)+103[/tex]
Add:
[tex]ML=93[/tex]
And we're done!
2)
Here, we want to find GE. This means solving for x again.
Note that HF plus FE equates to the entire segment.
HG plus GE also equates to the entire segment.
Thus:
[tex]HF+FE=HG+GE[/tex]
Substitute 3x-129 for HF and 4 for FE.
Substitute 13x-993 for HG and 3x-185 for GE. Thus:
[tex](3x-129)+(4)=(13x-993)+(3x-185)[/tex]
Combine like terms on both sides:
[tex](3x)+(-129+4)=(13x+3x)+(-993-185)[/tex]
Add or subtract:
[tex]3x-125=16x-1178[/tex]
Add 1178 to both sides:
[tex]3x+1053=16x[/tex]
Subtract 3x from both sides:
[tex]1053=13x[/tex]
Divide both sides by 13:
[tex]x=81[/tex]
So, the value of x is 81.
To find out GE, GE is the 3x-185. So:
[tex]GE=3(81)-185[/tex]
Multiply:
[tex]GE=243-185[/tex]
Subtract:
[tex]GE=58[/tex]
And we're finished!
What is the parent function for y = |x - 41+7?
Question 3 of 10
Is ACOW- APIG? If so, identify the similarity postulate or theorem that
applies
Explanation:
Choice A isn't the answer because we don't know anything about the angles, so we can't use the AA (angle angle) Similarity theorem.
Choice B isn't the answer because we don't have info about all three pairs of sides (we only have two pairs of sides).
Choice C isn't the answer in a similar way choice A isn't either. We don't know anything about the angles, so we can't use the "A" in "SAS".
Choice D is the only thing left. It turns out we don't have enough info to be able to determine if the triangles are similar or not.
WILL MARK FIRST ANSWER AS BRAINLIEST
Write an equation for the following (put the EQUATION in the answer box):
Jamie spends the same amount of money each morning. On Sunday, he bought a newspaper for $1.25 and bought 2 donuts. On Monday, he spent $0.50 on a newspaper and also bought 5 donuts. How much does each donut cost?
1.25+2x=.50+5x
Find the cost of a donut in #17
Answer:
$0.25 per donut.
Step-by-step explanation:
So, we know that Jamie spends the same amount of money each morning.
On Sunday, he spent $1.25 on a newspaper and bought 2 donuts.
On Monday, he spent $0.50 on a newspaper and bought 5 donuts.
Since he spend the same amount of money each morning, we can say that:
[tex]1.25+2x=0.5+5x[/tex]
Where x represents the cost per donut.
So, to find the cost of a donut, we need to solve for x.
So, let's try to isolate the x. Subtract 2x from both sides:
[tex](1.25+2x)-2x=(0.5+5x)-2x[/tex]
The left side cancels. Subtract on the right:
[tex]1.25=0.5+3x[/tex]
Now, let's subtract 0.5 from both sides:
[tex]0.75=3x[/tex]
To find x, divide both sides by 3:
[tex]x=0.75/3[/tex]
Divide:
[tex]x=0.25[/tex]
Therefore, each donut cost $0.25.
And we're done!
6x+2y=12 how do I show my work
Use the distributive property to multiply -3(-2 3/10). A. (-3)(-2) + (-3) (-3/10) B. (-3)(-2) + (-3/10) C. (3)(3/10) + (-3/10) D. (3 + 3/10)(-3 + (-2))
Answer:
[tex]A.\ (-3)(-2) + (-3)(3/10)[/tex]
Step-by-step explanation:
Given
[tex]-3(-2 - 3/10)[/tex]
Required
Simplify
[tex]-3(-2 - 3/10)[/tex]
Apply Distributive Property;
This simply means that; we expand the bracket;
So, we have;
[tex]= (-3)(-2) + (-3)(3/10)[/tex]
From the list of given options, option A answers the question
Answer:
A
Step-by-step explanation:
I took the quiz
mason makes homemade pizza sauce. the recipe calls for 5 ounces of tomato sauce for every 1/4 teaspoon of garlic. what is the rate in ounces of tomato sauce per teaspoon of garlic that mason uses?
Answer:
Sauce requires milk, cheese, red potatoes
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
simplify ^3√p^4 q^6 r^5
Answer:
3p^2q^3r^2√r
Step-by-step explanation:
Please include an explanation, i am confused. Thank you
Explanation:
Let's say,
(x1,y) (x2,y2)
are two points in a
xy
plane. We can find the shortest distance between two point by applying the distance formula stated as:
Distance
=√(x2−x1) 2+(y2−y1) 2
So by putting our given points
(x1,y1)=(6,−5) and (x2,y2)=(−1,−4)
in the distance formula, we have:
¯¯¯¯¯¯CD=√(−1−6)2+(−4−(5)2
Simplify to get:
5√2
Evaluate the function f(x) = 3 - 6x, when x=0.
a -3
b 0
c 3
d -57
Answer:
C
Step-by-step explanation:
f(0)= 3 - 6 (0)
f(0)= 3 - 0
f(0)= 3
If tan 0=3/4 find csc0
Answer:
tanθ = 3/4 p/b
using Pythagoras theorem
H² = P² + b²
H² = 3²+ 4²
H² = 25
H = 5
cosθ = B/H = 4/5
Point B has 3 lines extending from it. One line extends to point A, another to C, and another to D. Angle A B D is a right angle. Which information do you know is true from the diagram? Check all that apply. ∠ABD is a right angle. Ray B C bisects angle ∠ABD. m∠ABC = 45° m∠CBD = 45° m∠ABD = 90°
Answer:
A) ∠ABD is a right angle.
E) m∠ABD = 90°
Step-by-step explanation:
just took the test
∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles.
What is an angle?An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
The angle is the measurement of the angular distance for example for linear motion we have a meter inch but for angular rotation, we don't have the measurement so the angle is useful to measure the angular rotation.
Given that,
Angle A B D is a right angle.
The right angle is a 90-degree angle.
So,
m∠ABD = 90°
Hence "∠ABD is a right angle and ∠ABD = 90° will be correct for the given angles".
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Which fraction has a decimal equivalent that is a repeating decimal?
a
141/47
b
19/3
c
13/65
d
11/19
Answer:
b.......19/3...I. guess
Help me plz!!!!!!!!!!!!!!!!!!!!!!!
1/2 is the constant of proportionality because no matter what y or x is equal to, 1/2 will not change.
Is 0.3529 irrational or rational
Answer:
It is Rational
Step-by-step explanation:
A rational number is any integer, fraction, terminating decimal, or repeating decimal.
Question: Write an expression for each statement to represent the quantity in terms of its context. 1. A car rents for $35 per day plus 15 cents per mile driven. 2. The sum of three consecutive even integers. 3. One-fifth of the sum of r and 7 minus the product of 9 and s 4. On a farm, the number of cows is 70 more than half the number of goats and sheep.
Answer:
Say you have to find two consecutive integers whose sum is 89. How do you go about this problem? You first take a variable, say x, the value of which is unknown to you. Next, you are supposed to take another number. Since the problem requires you to use two consecutive integers, the integer next to x will be (x + 1). Now as per the problem, the sum of x and (x+1) is 89. We represent this in the form of an equation: x + (x + 1) = 89. Solving this equation we get x as 44 and the next integer (x + 1) as 45, the sum of which is 89.
Step-by-step explanation:
Find the equation for the vertical line that goes through point M(−2, 6).
The equation for the vertical line that goes through point M(−2, 6) is x = -2.
The equation of a straight line is:
y = mx + b;
y, x are variables, m is the slope of the line and b is the y intercept.
The slope of a vertical is undefined. Since the line passes through the point M(−2, 6), hence the equation of the vertical line is:
x = -2
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What essential characteristic does a good experiment have?
Answer:
It should have many essential characteristics such as a Control group, a hypothesis, research to back up and defend your hypothesis/claim and it should be replicable by others with similar results to prove your experiments claim.
Hope this helps. :)
F is between C and B. If CF = 7x+4, FB = 10x -69, and CB = 12x -25. Find x and CF
Answer:
x = 8CF = 60Step-by-step explanation:
CF + FB = CB
(7x+4) +(10x-69) = (12x-25)
5x = 40 . . . . . . . . add 65-12x
x = 8 . . . . . . . . . . divide by 5
CF = 7x +4 = 7(8) +4 . . . . use the x value in the expression for CF
CF = 60
Find the value of x that will make L || M
Answer:
The value of x = 7 to make lines L and M parallel.
Given the points (10, 0) and (0, 9), find - the slope of the line between these two point, and - the distance between the two points.
Answer: m=-9/10; d=13.45
Step-by-step explanation:
To find the slope, you would use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. We plug in the given points and solve.
[tex]m=\frac{9-0}{0-10} =\frac{9}{-10} =-\frac{9}{10}[/tex]
Now, we know that slope is -9/10.
To find the distance between the points, we use the distance formula.
Distance formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]d=\sqrt{(0-10)^2+(9-0)^2}[/tex] [parenthesis]
[tex]d=\sqrt{(-10)^2+(9)^2}[/tex] [exponent]
[tex]d=\sqrt{100+81}[/tex] [add]
[tex]d=\sqrt{181}[/tex]
[tex]d=13.45[/tex]
Now, we know the distance is approximately 13.45.
your order 4 fish tacos and a hamburger. The cost of the hamburger is $2.50. Your total bill before tax is $14.30. Write and solve an equation to find the cost a fish sandwich
Answer:
$2.95
Step-by-step explanation:
Step 1:
( $14.30 - $2.50 ) ÷ 4
Step 2:
$11.80 ÷ 4
Answer:
$2.95
Hope This Helps :)
fish tacos?
Step-by-step explanation:
4x-2.50=14.30
14.30-2.50=11.80
11.80/4= $2.95
each taco is 2.95
check your answer
$2.95*4= $11.80
11.80+2.50= 14.30