Answer:
50
Step-by-step explanation:
All angles around a circle is 360°
/_ 2 = 130°
/_ 1 = 130° (Vertically opposite angles)
= 130° + 130° = 260°
all angles = 360°
= 360° - 260° = 100°
= 100° ÷ 2
= 50°
= /_ 3 and /_ 4 = 50°
Verification = 130° + 130° + 50° + 50° = 360°
Find the mean absolute deviation for this data set.
2, 3, 1, 5, 4
The mean absolute deviation of the given data set is 1.2.
How to calculate the mean absolute deviation of a data set?Mean absolute deviation (MAD) is a measure of the average absolute distance between each data value and the mean of a data set. The formula for MAD is:
MAD =∑|x-m| / n
∑ is known as Sigma and means to sum up
| | are vertical bars that mean absolute value
x is each value
m is the mean
n is the total number of data points in your data set
Given: 2, 3, 1, 5, 4
n = 5
m = 2 + 3 + 1 + 5 + 4 = 15/5 = 3
∑|x-m| = |2-3| + |3-3| + |1-3| + |5-3| + |4-3| = 6
MAD =∑|x-m|/n = 6/5 = 1.2
Therefore, the mean absolute deviation of the set data is 1.2
Learn more about mean absolute deviation on:
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Mr. Lucas baked 24 cookies. 3 fourths of the cookies were oatmeal. How many oatmeal cookies did Mr. Lucas bake?
Answer: 18 oatmeal cookies.
Step-by-step explanation:
Simplify divide 24 by 3/4 to find how many oatmeal cookies Lucas made.
24 x 3 = 72/4 = 18
The expression 10a+6c gives the cost (in dollars) for a adults and c children to eat at a buffet restaurant.
a. The cost for 1 adult is $ ?
. The cost for 1 child is $ ?
b. The total cost for 1 adult and 3 children is $ ?
Question 2
c. Is $30 enough for a family of 2 adults and 2 children to eat at the buffet?..
Answer:
Answer: The total cost is assuming the cost for 1 adult is and the cost for 1 child is
Step-by-step explanation:
In an office,2/3 of the telephone bill is paid by Tom,1/5 paid by Azuma and the remaining by Tina. What fraction is paid by Tina?
Answer:
4/15
Step-by-step explanation:
1 - 2/3 = 1/3
1/5 x 1/3 = 1/15 of the bill
1/15 of bill is paid by azuma
10/15 is by tom
so 1 - 10/15 - 1/15 = 4/15 by tina
A rectangular swimming pool measures 50 meters in length and 25 meters in width. A scale drawing of the swimming pool will be made where 1 centimeter represents 5 meters.
Answer:
the pool would be 10 cm by 5 cm
Answer:
The scale drawing would be 10 centimeters by 5 centimeters
Step-by-step explanation:
It's 1:5
If you multiply each side by 10, you get 10:50, that shows it'd be 10cm for the length and then you do the same for the width, 5:25, to get 5cm.
Jesse makes a 6% commission on every sale he makes, if he sold $875 worth of items this week, how much will he make in commission?
how do you write 7 a mixed number in the simplest form
What does this even mean?
i need help quickly guys
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Pythagorean Formula:
a² + b² = c²
Given:
a = 3
b = 4
Work:
a² + b² = c²
3² + 4² = c²
9 + 16 = c²
c² = 25
[tex]\sqrt{c^2} =\sqrt{25}[/tex]
c = 5
When does the equation of a line in slope-intercept form look just like its
equation in point-slope form?
Answer:
-y ,y = m (-x, x)
Step-by-step explanation:
Type the correct answer in the box.
log +log -10823= log
Answer:
log 7
Step-by-step explanation:
Using the rules of logarithms
log x + log y ⇔ log (xy )
log x - log y ⇔ log ([tex]\frac{x}{y}[/tex] )
Given
log[tex]\frac{14}{3}[/tex] + log[tex]\frac{11}{5}[/tex] - log[tex]\frac{22}{15}[/tex]
= log ([tex]\frac{14}{3}[/tex] × [tex]\frac{11}{5}[/tex] ) - log[tex]\frac{22}{15}[/tex]
= log ([tex]\frac{154}{15}[/tex] ) - log[tex]\frac{22}{15}[/tex]
= log ( [tex]\frac{154}{15}[/tex] ÷ [tex]\frac{22}{15}[/tex] )
= log ([tex]\frac{154}{15}[/tex] × [tex]\frac{15}{22}[/tex] )
= log[tex]\frac{154}{22}[/tex]
= log 7
help please!!!!!!!!!!!!
Answer:22.5
Step-by-step explanation:
I really need help with these, if you know any it would help so much
1 - 53 is 45% of what number?
2 - if you got scored 20 out of 24 what percentage would that be?
3 - 80 is 55% of what number?
Answer:
1: 23.85
2: 83%
3: 44
Step-by-step explanation:
1 - do 53x0.45 (23.85)
2 - Divide 20 by 24, which you get 0.833333333 and move the decimal 2x to the right. You get 83.3333333, but round. So 83%
3 - do 80x0.55 (44)
Employees at Standard Storage are in the ratio of 2 women to 7 men. If there are 490 men employed,
how many women are employed there?
Proportion women /men = 2/7 = x/490 7x= 2· 490 :7
X = 2·70 = 140
The radius of a quarter circle is 3 millimeters. What is the quarter circle's area?
r=3 mm
Answer:
28.3mm
Step-by-step explanation:
3(3)=9(pi)= 28.274...
Answer: 9[tex]\pi[/tex], or more specifically, 28.26, or even more specifically, 28.2643.
Explanation:
To find the area of a circle, you need to do r squared x pi. Since pi repeats randomly infinitely, we are going to simplify it to 3.14. 3 squared or 3 x 3 equals 9. 9 x 3.14 = 28.26. Therefore, the area of the quarter is 28.26. If you want to find the answer without simplifying pi, it is approximately 28.2643. You can also write it as 9[tex]\pi[/tex].
Hope this helps! If it did, please give brainliest! It would help a lot! Thanks! :D
can someone help with this question please? (no links!!)
Answer:
Step-by-step explanation:
radius is half of it so 7 times 2= 14 and then multiply by 3.14.
So 43.96
Find the equation of the curve that passes through the point (x, y) = (0, 0) and has an arc length on the interval x is between 0 and pi over 4 inclusive given by the integral the integral from 0 to pi over 4 of the square root of the quantity 1 plus the cosine squared x, dx . (5 points)
Answer:
[tex]\displaystyle y=\sin(x),\text{ where } 0\leq x\leq\pi/4[/tex]
Step-by-step explanation:
The curve passes through the point (x, y) = (0, 0) and has an arc length on the interval [0, π/4] given by the integral:
[tex]\displaystyle \int_{0}^{\pi/4}\sqrt{1+\cos^2(x)}\, dx[/tex]
And we want to find the equation of the curve.
Recall that arc length is given by:
[tex]\displaystyle L=\int_a^b\sqrt{1+\Big(\frac{dy}{dx}\Big)^2}\, dx[/tex]
Rewrite our original integral:
[tex]\displaystyle \int_{0}^{\pi/4}\sqrt{1+(\cos(x))^2}\, dx[/tex]
So:
[tex]\displaystyle \frac{dy}{dx}=\cos(x)[/tex]
It follows that:
[tex]\displaystyle y=\sin(x)+C[/tex]
Using the initial condition:
[tex]0=\sin(0)+C\Rightarrow 0=0+C\Rightarrow C=0[/tex]
The equation for our curve is:
[tex]\displaystyle y=\sin(x),\text{ where } 0\leq x\leq\pi/4[/tex]
PLEASE HELP!! will be marked brainliest!!
————————
Volume Real World Scenarios:
1. the area of the base of a cylinder is 150 square inches. if the volume of the cylinder is 1,050 in.3, what is the height of the cylinder?
2. the volume of a cylinder is 942 cubic feet. if the height of the cylinder is 12 feet, what is the radius of the cylinder?
3. drew and beau both have cylindrical water bottles. drew’s water bottle has a diameter of 6 inches and a height of 7 inches. beau’s water bottle has a diameter of 4 inches and a height of 9 inches. who’s water bottle holds more water, and how much more water does it hold?
4. isabella constructed a cylindrical vase that has a volume of 63 cubic centimeters. jason constructed a cone that has the same height and the same radius as isabella’s cylinder. what is the volume of jason’s cone?
5. a cone has a volume of 942 cubic inches and a height of 9 inches. what is the radius of the cone?
6. tess gets a snow cone shaped container. the container has a diameter of 3 inches and a height of 5 inches. if the snow cone costs $0.20 per cubic inch, how much would her snow cone cost if the container is filled to the top?
7. a sphere has a volume of 288 π π in3. find the radius of the sphere.
8. jasmine is decorating her christmas tree with ornaments shaped like spheres. each ornament has a radius of 3 inches. if the ornaments are filled with glitter, how many total cubic inches of glitter are contained in the ornament?
Using the area formula, the height of the cylinder is found to be approximately 7.87 inches.
What is area?
An object's area is how much space it takes up in two dimensions. It is the measurement of the quantity of unit squares that completely cover the surface of a closed figure.
Use the formula for the volume of a cylinder to relate the radius, height, and volume of the cylinder -
V = πr²h
Where V is the volume, r is the radius, and h is the height of the cylinder.
It is given that the area of the base of the cylinder is 150 square inches.
Since the base of a cylinder is a circle, the area of the base is given by -
A = πr²
Where A is the area of the base and r is the radius.
Solving for r -
r² = A/π = 150/π
Use the given volume and radius to solve for the height -
V = πr²h
1050 = π(150/π)²h
h ≈ 7.87 inches
Therefore, the height is 7.87 inches.
To learn more about area from the given link
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Write and Solve an equation to find the value of x and a missing angle in the triangle below.
Question 2 of 5
A right cone has a slant height of 17 feet, and the diameter of the base is 16
feet. What is the height, h, of the cone?
h
17 ft
16 ft
Answer:
15 ft
Step-by-step explanation:
A right triangle is formed by h, the radius and the slant height
Given diameter = 16, then radius = 16 ÷ 2 = 8
Using Pythagoras' identity in the right triangle with legs h and 8 and hypotenuse the slant height, then
h² + 8² = 17²
h² + 64 = 289 ( subtract 64 from both sides )
h² = 225 ( take the square root of both sides )
h = [tex]\sqrt{225}[/tex] = 15
Answer:
Step-by-step explanation:
$4.00 + $2.00=
answer
Identify pair of adjacent angles and vertically opposite angles from the
following figures.
Answer:
adjacent angle pair is ∠AOD and ∠DOB (could be any two that are next to each other)
vertically opposite angles are ∠AOD and ∠COB (also could be ∠AOC and ∠DOB
Step-by-step explanation:
Mrs. Torres is mailing a package that weighs 4.5 pounds. The post office charges by the ounce to mail a package. How much does the package weigh in ounces?
Multiply. Reduce if possible, if you can simplify, what is the GCF you used ? what is 3/7 x 2/4
Answer:
3/14
Step-by-step explanation:
Question 5
6 pts
The lengths of the sides of a triangle are given. Determine if the side lengths create a right
triangle.
a) 3, 8, 10
b) 9, 40, 41
c) 12, 20, 16
Answer:
C is correct
Step-by-step explanation: c is correct great job
To conduct an experiment, researches randomly select six students from a class of 20. How many different groups of six students are possible?
Answer:
3.33
Step-by-step explanation:
20 divided by 6 equals 3.33333333333
Round that you get 3.33
HELP WILL GIVE BRAINLIEST
The two lines represent the amount of water, over time, in two tanks that are the same size. Which container is filling more quickly?
Answer:
Tank A is filling faster
Step-by-step explanation:
On the graph, You can see that the line of tank A is rising far faster than tank B.
Answer:
Tank A is filling faster because it's a longer line.
PLEASE HELP ASAP 25 POINTS GOOD ANSWERS ONLY!
bob has 8 pieces of square index cards that each measures 8 inches per side. Using a pair of
scissors, he cuts each piece in half (so the resulting size is 8” x 4”) and then places all the
resulting card pieces in a new stack. If he repeats this procedure 4 more times, how many
pieces of card stock will he have and what will be the measure of each piece? (Note: All
cuts will be made along the longer edge of the piece if the piece of index card is not square.)
Answer:
128
Step-by-step explanation:
PLZ HELP ILL MARK U BRAINLIEST!!!
Answer:
x=18
Step-by-step explanation:
7x-1=125
+1 +1
7x=126
7 7
X=18
With instructions too please
Answer on pic above
Hope this helps
please helpppp! i’ll mark brainliest
Answer:
from what i see i see thats its D
if not im sorry but i hope i got it right
Step-by-step explanation: