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.
can you plz help me with this question 2p=74
Answer:
p = 37
Step-by-step explanation:
divide 2 on both sides:
p = 37
Hope this helps!
Answer:
p=37
Step-by-step explanation:
74 ÷ 2 = 37
2×37 = 74
74 = 74
make me brainliest pls
if UW=6x-35,find what UW is
Answer:
Well, based on what is provided, I can't be sure that this will be right. If that's all that's given on your worksheet, then the answer should be 5.83
Step-by-step explanation:
Reason why I don't think this is correct is because there's usually two sets to deal with. Which with this, there's only one? I guess if that's the case, then flip the 35 to the other side of the equal sign and divide 35 by 6. that's what gets us 5.83. Please check your paper again to make sure you didn't miss the other side of the equation, because I don't want you to get this wrong over a little mistake.
-15=2t-11 does any one know it please
Add 11 to both sides:
-4=-2t
divide 2 by both sides
2=t
Hope it helps! Comment if you have any questions!
Answer:
t = -2
Step-by-step explanation:
Move all terms that don't contain t to the right side and solve
I need help ASAP.
3+2-(6-(1+1)
Answer:
1
Step-by-step explanation:
3+2-(6-(1+1)
3+2-(6-2)
3+2-4
1
Answer:
1.
Step-by-step explanation:
i got confused me explaining it but I can verify the answer is 1.
Drag the tiles to the right places
PLEASE HELPPP FASSTTTTTTTT
I WILL MARK YOU AS THE BRAINLYEST IF I GET IT RIGHT JUST HELPPPPP
Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2 1/4 , k). What value of k makes these segments perpendicular?
Answer: [tex]k=18\dfrac{8}{11}[/tex].
Step-by-step explanation:
If a line passing through two points, then
[tex]Slope=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Endpoints of segment MN have coordinates (0, 0) and (5, 1).
Slope of MN [tex]=\dfrac{1-0}{5-0}=\dfrac{1}{5}[/tex]
The endpoints of segment AB have coordinates [tex]\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)[/tex] and [tex]\left(-2\dfrac{1}{4} , k\right)[/tex].
[tex]A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)[/tex]
[tex]B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right)[/tex].
Slope of AB [tex]=\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}[/tex]
[tex]=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}[/tex]
[tex]=\dfrac{4k-9}{4}\times \dfrac{44}{-145}[/tex]
[tex]=4k-9\times \dfrac{11}{-145}[/tex]
[tex]=\dfrac{44k-99}{-145}[/tex]
Product of slopes of two perpendicular segments is -1.
Slope of MN × Slope of AB = -1
[tex]\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1[/tex]
[tex]\dfrac{44k-99}{-725}=-1[/tex]
[tex]44k-99=725[/tex]
[tex]44k=725+99[/tex]
[tex]k=\dfrac{824}{44}[/tex]
[tex]k=\dfrac{206}{11}[/tex]
[tex]k=18\dfrac{8}{11}[/tex]
Therefore, the value of k is [tex]k=18\dfrac{8}{11}[/tex].
Answer:
k=21
Step-by-step explanation:
Find the slope of MN which is 1/5, (use the slope formula.)
Use the slope formula for AB using k as y_2
Substitute and you get k=21
21-2.25/-2.25-1.5=-5
The lines are perpendicular because the slopes are the negative reciprocal of one another.
Witch statment describes a unit rate 1 sara ate 1 cookie 2 sara is driving 16 miles 3 sara is driving 30miles per hour 4 sara ate three crackers and 1 apple
Answer:
3; Sara is driving 30 miles per hour
Step-by-step explanation:
Here in this question, we want to select which of the options represent what a unit rate is.
When we talk of rate, we are referring to how a particular measured entity is changing in relation to another measured entity. Hence, we are simply looking at how there is a change between two measurable quantities.
Option 1 is not rate, it only tells us Sara ate 1 cookie. How Sara did this, we do not know, whether fast or slow
Option 2 is just measuring distance. We only know that Sara traveled a particular distance. We do not know how fast, or slow this has occurred
Option 3 is our answer. It clearly tells us how the distance Sara is traveling is measured against time
Option 4 is not correct, we only know the number of crackers and apples are, the rate at which this is done, we do not know
A surveyor is surveying a street. The surveyor is standing at point P looking down the street at a No Parking sign at point C and a Stop sign at point R. Given PC = 6x-5 meters, PR = 29 meters, CR = 7 meters, and point C is between P and R, what is xin meters?
Answer:
4.5 metresStep-by-step explanation:
If point C is between P and R, then PC+CR = PR.
Given PC = 6x-5
CR = 7 and PR = 29
Required
Find the value of x in metres
Substitute the given values into the formula;
6x-5+7 = 29
6x+2 = 29
subtract 2 from both sides
6x-2+2 = 29-2
6x = 27
Divide both sides by 6
6x/6 = 27/6
x = 27/6
x = 9/2
x = 4.5 metres
Hence the value of x in metres is 4.5metres
There are 9 boys and 6 girls in a hall, each holding coins in their hand. The mean number of coins for the children is 18 The mean number of coins for the boys is 14 Work out the mean number of coins for the girls.
Answer:
24
Step-by-step explanation:
Average = total number of coins / number of students
If the mean number of coins with boys is 14, the total number of coins held by boys = 14 x 9 = 126
The total number of coins held by the students = total number of children x average number of coins held by the children
15 x 18 = 270
The total number of coins held by girls = 270 - 126 =144
The mean number of coins for the girls = 144 / 6 = 24
Can you please help me with 2,3,4 and 5. Will mark brainliest.
You have three consecutive odd integers. Four times the smallest decreased by 5 is the same as the largest increased by 12. What is the smallest of the integers?
Answer:
The smallest of the integers is 7
Step-by-step explanation:
Let the integers be x, y and z
From the question, the integers are consecutive odd integers.
Hence,
If the smallest of the integers is x and the largest is z, then we can write that,
x + 2 = y and
y + 2 = z
Then, x + 2 + 2 = z
∴ x + 4 = z ....... (1)
From the question, four times the smallest decreased by 5 is the same as the largest increased by 12, that is
4x -5 = z + 12 ....... (2)
Put the value of z = x + 4 in equation (1) into equation (2),
We then get
4x - 5 = x + 4 + 12
4x - x = 4 + 12 + 5
3x = 21
x = 7
Hence, the smallest of the integers is 7
The other integers are 9 and 11 ( y= 9 and z = 11)
A fruit dessert contains rasberries and strawberries in the ratio 1:2. There are 400 g of strawberries in the dessert. a) How many grams of rasberries are there in the dessert? b) How much fruit is there altogether in the dessert?
Answer:
a) 200 g
b) 600 g
Step-by-step explanation:
Given
Raspberry : Strawberry Ratio = 1 : 2 Strawberry = 400 ga) Raspberry = half of strawberry as per ratio
400 g / 2 = 200 gb) Total of fruit
400 g + 200 g = 600 gwhich number line shows the inequalaty n>-3
Answer:
the number line shows inequality
What is the value of 3 minus (negative 2)? A number line going from negative 5 to positive 5. –5 –1 1 5What is the product? (6) (negative 12) –82 –72 72 82
Answer: 5, 72
Step-by-step explanation:
Given the following questions :.
The value of 3 minus (negative 2)
3 - (-2) = 3 + 2 = 5
A number line going from Negative 5 to positive 5, what is the product of 6(negative 12)
6 × (-12) = - 72
The product of 6 and negative 12 is -72.
Here, we have,
The value of 3 minus (negative 2) can be calculated as follows:
3 - (-2) = 3 + 2 = 5.
Therefore, the value of 3 minus (negative 2) is 5.
Regarding the number line going from -5 to 5:
-5 -1 1 5
The product of 6 and negative 12 can be calculated as follows:
6 * (-12) = -72.
Therefore, the product of 6 and negative 12 is -72.
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How can you rewrite square root 2
Answer:
2/6
Step-by-step explanation:
What is the value of the expression below when y
7 and z = 5?
y + 10z
Answer:
57
steps:
10 x 5= 50
7 + 50 =57
Explain their mistake. Will give brainliest
Answer:
a²+b² =c²
10²+z²=13²
z² = 13²-10²
z =square root of (169-100)
this is a right triangle and 13 side is the hypotenuse (the longest side)
simplify the following expressions ( combine like-terms )
Answer:
x + 2y
Step-by-step explanation:
Step 1: Write expression
-3x + 2y + 5x - x
Step 2: Combine like terms (x)
2x + 2y - x
x + 2y
Which solution set satisfies the inequality y+19>_13
Step-by-step explanation:
y+19>_13
y=-13-19
=-32
Which number is greater than square root of one hundred fifty five?
Answer:
try 3
Step-by-step explanation:
An investment company pays 7% compounded semiannually. You want to have $24000 in the future. How much should you deposit now to have that amount 5 years from now?
Answer: You should deposit about $17014 or little more
Step-by-step explanation:
use the compound interest formula.
A= p( 1 + r/n)^nt
Where A is the amount you will save over some years .
p is the principal or start up amount mostly known as the initial fee.
r is the interest rate represent by a decimal so 7% will be 0.07.
n is the number of times the interest is being applied annually. Semiannually means twice. So n will be 2.
T is the time the money will elapsed. So in 5 years the money will elapse. Now input the values into the formula and solve for p the principal.
24,000 = p( 1 + 0.07/2)^2*5
24,000= p( 1 + 0.035)^10
24000 = p( 1.035)^10
24000 = p( 1.41059876062) Divide both sides by 1.41059876062
p = 17104
Which means you should deposit about $17014 or little more
Algebra 2
Please help me solve this.
If a numser has an even exponent can it ever be negative when it is simplified?
Explain.
Answer: No, it can never be negative.
==================================================
Explanation:
Consider the expression x^2
If x were some negative number, say x = -3, then
x^2 = (-3)^2 = 9 which is a positive result.
Picking any negative number for x will make x^2 positive.
We can think of it like this
(-3)^2 = (-3)*(-3) = 9
The two negatives multiply to a positive.
This also happens with exponents 4,6,8, etc. Any even exponent will have an even number of negative signs, all of which cancel out.
Does someone know how to do this?
p(x)= -12x -36; -3
Answer:
p(- 3) = 0
Step-by-step explanation:
Substitute x = - 3 into p(x) , that is
p(- 3) = - 12(- 3) - 36 = 36 - 36 = 0
someone PLEASE PLEASE HELP!! I need this in one hour!! (20 POINTS)
PLEASE SOMEONE HELP
Answer:
X=22 (Should make the rest of the problem easy to solve)
Step-by-step explanation:
22x2 + 1 = 45
22 + 5 = 27
45 + 27 = 72 (The perimiter)
[tex]\large\text{Hello there! :)}[/tex]
[tex]\text{Formula for the perimeter: P = 6x + 12}\\\\\text{Dimensions: l = 21, w = 15}\\\\\text{Verification below.}[/tex]
[tex]-=-=-==-=-=-=-=-=-=-=-[/tex]
[tex]\text{Begin by writing an equation for the perimeter of the rectangle.}\\\\\text{Formula: P = 2l + 2w}\\\\P = 2(2x + 1) + 2(x + 5)\\\\P = 4x + 2 + 2x + 10\\\\\text{Combine like terms:}\\\\\boxed{P = 6x + 12}\\\\\text{Solve for the dimensions:}\\\\72 = 6x + 12\\\\\text{Subtract 12 from both sides:}\\\\60 = 6x\\\\\text{Divide both sides by 6:}\\\\x = 10\\\\\text{Substitute in 10 for x in the equations for each side length:}\\\\l = 2x + 1\\\\l = 2(10) + 1\\\\\boxed{l = 20 + 1 = 21units}[/tex]
[tex]w = (10) + 5\\\\\boxed{w = 15 units}[/tex]
[tex]\text{Use the formula for the area of a rectangle to verify. A = l * w:}\\\\\boxed{A = 15 * 21 = 315 units^{2} }[/tex]
6x10-4 in standard notation
Answer:
The Answer is 2(3x^10-2) Hope this helps :)
-by-step explanation:
PLEASE ANSWER: find the slope of the line through each pair of points. (1,6) and (8,-1)
Answer: -1
Step-by-step explanation:
To find the slope fo the line with the given points, you use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{-1-6}{8-1}=\frac{-7}{7} =-1[/tex]
Now, we know that the slope is -1.
Give two real-world situations that could be represented by the value 30
Answer:
There are lot of real world situations that could be represented by the value of 30.
Step-by-step explanation:
1- I went to a office for interview they said to me they will give 30$ as a salary per day.
2- I went to a shop and bought a cofee box. shopkeeper demanded me 30$ for it.
These are the best examples of real-world situations that could be represented by the value 30
Answer:
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Step-by-step explanation:
Find the center-radius form of the equation of the circle described and graph it.
center (0, -1), radius 4
Type the center-radius form of the equation of the circle.
(Type an equation. Simplify your answer.)
Answer:
x^2 + (y+1)^2 = 16
Step-by-step explanation:
The equation of a circle is given by the equation (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center point of the circle.
Therefore, since the center point of the circle and the radius is given, we can just plug the numbers into the formula:
(x-0)^2 + (y+1)^2 = 4^2
x^2 + (y+1)^2 = 16
The required center-radius form of the equation of the circle is x² + (y + 1)² = 16.
What is a circle?The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k).
Here
The equation of the circle is given by
(x - h)² + (y - k)² = r² - - - - (1)
where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.
Substitute center and radius in equation 1,
(x - 0)² + (y + 1)² = 4²
(x )² + (y + 1)² = 16²
Thus, the required center-radius form of the equation of the circle is x² + (y + 1)² = 16.
Learn more about circle here:
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Solve for x: −10x+5= -6x-35
Step-by-step explanation:
-10x+5= -6x-35
-10x+6x=-35-5
-4x=-40
x=10
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