Answer:
a) 40050017 = 40,050,017
Forty million fifty thousand and seventeen
b) 251400 = 251,400
Two hundred fifty one thousand and four hundred
Step-by-step explanation:
In international system commas are placed after three digits starting from the unit's place.
a) 40050017 = 40,050,017
Forty million fifty thousand and seventeen
b) 251400 = 251,400
Two hundred fifty one thousand and four hundred
It can be placed as shown below.
TM, M, HTh , TTh, Th, H, T, O
4 0 0 5 0 0 1 7
2 5 1 4 0 0
3 questions in 1
1. The set of data below represents test scores for 20 students on a final exam.
What are the outliers in the data set?
[Hint: Lower Limit = Q 1 – 1.5(IQR) ; Upper Limit = Q 3 + 1.5(IQR)]
2. The set of data below represents test scores for 20 students on a final exam. What is the value of Q 1?
3. The set of data below represents test scores for 20 students on a final exam. What is the value of Q 3?
Answer:
1. D. 20, 30, and 50
2. A. 86
3. B. 94
Step-by-step explanation:
1. To find the outliers of the data set, we need to determine the Q1, Q3, and IQR.
The Q1 is the middle data in the lower part (first 10 data values) of the data set (while the Q3 is the middle data of the upper part (the last 10 data values) the data set.
Since it is an even data set, therefore, we would look for the average of the 2 middle values in each half of the data set.
Thus:
Q1 = (85 + 87)/2 = 86
Q3 = (93 + 95)/2 = 94
IQR = Q3 - Q1 = 94 - 86
IQR = 8
Outliers in the data set are data values below the lower limit or above the upper limit.
Let's find the lower and upper limit.
Lower limit = Q1 - 1.5(IQR) = 86 - 1.5(8) = 74
The data values below the lower limit (74) are 20, 30, and 50
Let's see if we have any data value above the upper limit.
Upper limit = Q3 + 1.5(IQR) = 94 + 1.5(8) = 106
No data value is above 106.
Therefore, the only outliers of the data set are:
D. 20, 30, and 50
2. See explanation on how to we found the Q1 of the given data set as explained earlier in question 1 above.
Thus:
Q1 = (85 + 87)/2 = 86
3. Q3 = (93 + 95)/2 = 94
HELPPPPPPPPPPPPPP
A student needed to find the measure of angle b. He incorrectly said m
btw 54% angle a
Answer:
do you have any pictures?
Step-by-step explanation:
this is 3 weeks late please help me
Answer:
3
Hope that helps! :)
-Aphrodite
Step-by-step explanation:
Answer:
It's J
Step-by-step explanation:
16. Audrey bought 4 yards of red fabric
, 2 yards of white, and 1 yards of blue. What is the
total amount of yards that she purchased?
Answer:
Audrey bought 7 yards.
Step-by-step explanation:
Just add 4+2+1 because those are what colors she bought, but all together she bought 7 yards of all colors.
The angles in a triangle are in the ratio 1 : 2 : 3
Show that the triangle is a right-angled triangle
Answer:
see explanation
Step-by-step explanation:
sum the parts of the ratio, 1 + 2 + 3 = 6 parts
Divide 180° ( sum of angles in a triangle ) by 6
180° ÷ 6 = 30° ← value of 1 part of the ratio , then
2 parts = 2 × 30° = 60°
3 parts = 3 × 30° = 90°
The angles in the triangle are 30°, 60°, 90°
Then the triangle is right angled
Answer:
The angles are 30°, 60° and 90°.Step-by-step explanation:
Hint : sum of the angles in triangle = 180°.The triangle is a right-angled triangle.Answer:Let missing angles be [tex]x[/tex], [tex]2x[/tex].
As the triangle is right-angled triangle.
[tex]x + 2x + {90}^{o} = {180}^{o} [/tex]
[tex]3x = {180}^{o} - {90}^{o} [/tex]
[tex]3x = {90}^{o} [/tex]
[tex]x = \frac{90 ^{o} }{3} [/tex][tex]x = {30}^{o} [/tex]
[tex]2x = 30 \times 2 \\ = {60 }^{o} [/tex]
Check:30° + 60° + 90° = 180°.Hope it is helpful....A box without a top is to be made from a rectangular piece of cardboard, with dimensions 12 in. by 16 in., by cutting out square corners with side length x and folding up the sides.
A) Write an equation for the volume V of the box in terms of x.
B) Use technology to estimate the value of x, to the nearest tenth, that gives the greatest volume.
Please explain how you go your answer
Answer:
Step-by-step explanation:
Length (a) = 12-2x
Width (b) = 16-2x
Height (h) = x
Volume = a*b*h = x(12-2x)(16-2x) = 192x-56x^2+4x^3
Use derivative to find max.
dV/dx = 192-112x+12x^2 = 0
x = 7.07, 2.26
You can use second derivative or take two closest points and find gradient of them to find max x.
Max(x) = 2.26
Solve for x (5x +40) A. AB. BC, AC B. BC. AC. AB C. AC. AB. BC (7x+8) (10x) с A D. BC. AB. AC Which of the following lists the sides in order from shortest to longest?
Answer:
D
Step-by-step explanation:
The shortest side is the side opposite the smallest angle, the longest side is opposite the largest angle.
First find the measure of the angles in the triangle.
The sum of the 3 angles = 180° then
5x + 40 + 10x + 7x + 8 = 180
22x + 48 = 180 ( subtract 48 from both sides )
22x = 132 ( divide both sides by 22 )
x = 6
Then
∠ A = 7x + 8 = 7(6) + 8 = 42 + 8 = 50°
∠ B = 5x + 40 = 5(6) + 40 = 30 + 40 = 70°
∠ C = 10x = 10(6) = 60°
The shortest side is opposite ∠ A , that is BC
The longest side is opposite ∠ B , that is AC
The sides in order from shortest to longest are
BC, AB, AC → D
Zaire is making granola bars. For one batch of bars, the recipe requires 1 2/3 cups of rolled oats, and 1/2 cups of raisins. What is the combined amount, in cups, of rolled oats and raisins that is used in one batch of granola bars?
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
The Chess Club has 24 members, 14 girls and 10 boys. What is the ratio of
girls to boys in the Chess Club?
A. 3:4
O B. 7:5
O C. 5:7
Answer: I think it would be 7:5 because half of 14=7 and half of 10=5. by the way, are you good at algebra II by any chance? if so can you help me out in return for me helping you out please?
PLEASE HELP 26 POINTS AND BRAINLIEST GOES OUT TO CORRECT DON ANSWER IF YOU DO NOT KNOW OR DO NOT GUESS PLEASE SHOW WORK ALSO!!!!!!!!!!
Answer:
Mean - 89
Median - 90.5
Mode - 89 or 92
Q1 - 84.5
Q3 - 96.5
IQR - 12
Step-by-step explanation:
A mean is an average. Just add all numbers then divide by how many numbers there are.
A median is a middle. Just arrange the numbers from smallest to largest and locate the middle value.
A mode is the number that appears most often. Count how many of each number there is.
Q1 is the middle of the lower half of the data.
Q3 is the middle of the upper half of the data.
IQR is the difference between Q3 and Q1. (subtract)
If a number is selected at random from the first 50 natural numbers,what will be the probability that the selected number is a multiple of 3 and 47.
Add working steps :)
Solve using quadratic equation by factoring.
x^2+8x=65
Answer:
-13, 5
Step-by-step explanation:
See image below:)
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 35pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
given;
inscribed angle =35°
central angle=35×2=70°
radius [r]=10in
area of shaded region=70°/360×πr²
=70°/360×π×10²=159π/9 in²
Laura used 12 1/2 square feet of cloth to make 3 dresses. How many square feet of cloth are required to make 12 similar dresses?
Answer: 50
Step-by-step explanation: 12 1/2 times 4 is 50
Find the value of the indicated angle.
Answer:
leg = 1
hypotenuse = √2 or 1.41
Step-by-step explanation:
Heather drove at a constant rate. She traveled 162162 miles in 33 hours. How far did Heather travel in 11 hour?
Answer:
she travels H/3 miles in 1 hour.
Step-by-step explanation:
Heather drove at a constant rate she traveled 162 miles in 3 hours how far did Heather travel in 1 hour
suppose that Heather drove H miles in 3 hours. Then her constant rate (speed) was H/3. That's H/3 mph. So, she travels H/3 miles in 1 hour.
HELP PLEASEE IM FAILING
Answer:
failure is a step towards success!!
don't get urself drowned,,,,just get over it❤️
Answer:
C
Step-by-step explanation:
∠ SVW = ∠ TWX = 84° ( corresponding angles are congruent )
∠ UVY = ∠ SVW = 84° ( vertical angles are congruent )
The are of the square is 98m^2. How long is the diagonal?
Answer:
please mark me
length of the diagonal is 14 feet good luck
Step-by-step explanation:
write five rational number which are smaller than 2
Answer:
The numbers can be -4, -3, -2, -1, and 1
HELPPPPPPPPPP SOONNN
Answer:
Hope this helped :)
Step-by-step explanation:
For the first question, the answer is B.
For the second question, the answer is D.
The first question was tricky for me, so sorry if I got it wrong.
Please helppp!! Worth 20 points. I’ll mark brainliest if someone actually helps >.
Answer: $25
Step-by-step explanation: 25 times 3(because there are three people) =75 - 45(the amount they spent)=30 the amount they are left with all together.
it took me awhile to answer so sorry for the wait but i hope this helps.
Plz help me the question is what is the volume of the prism in cubic centimeters
Answer:
120 cubic cm
Step-by-step explanation:
The Volume of a Triangular Prism = [tex]1/2Bh[/tex], where B = height x length of triangle, divided by 2 (because that's how we find the area of a triangle).
So the height of the triangle is 4 cm, and the length is 6 cm; 6 x 4 = 24, divided by 2 is = 12 cm.
Then the other H, the height of the triangular prism, is = 10 cm, and 12 x 10 is equal to 120 cm ^3.
How to work out surface area of cubes
Answer:
The surface area of a cube = 6a2 where a is the length of the side of each edge of the cube. Put another way, since all sides of a cube are equal, a is just the lenght of one side of a cube. We have 96 = 6a2 → a2 = 16, so that's the area of one face of the cube.
Hope this helps!!!!!!!!
select the expression that represent the following statement: add 24 to the quotient of 16 and 8.
16 × 8 + 24
(16 ÷ 8) + 24
24 - 8 + 16
(16 - 8) + 24
Answer:
[tex](16\div8)+24[/tex]
Step-by-step explanation:
The quotient of 16 and 8 is [tex]16\div8[/tex]. Adding 24 to this value results in [tex](16\div8)+24[/tex].
Faith purchases a car for $27,500. The
value of the car will depreciate each
year at a rate of 12.4%. What is the
approximate equivalent monthly
depreciation rate, to the nearest tenth
of a percent?
Help please tell the explanation I’ll give brainleist
Answer:
To the nearest tenth of a percent, the approximate equivalent monthly depreciation rate is 1.0%
Step-by-step explanation:
From the question, we have a per annum decrease of 12.4%
what this mean is that, yearly, we expect a decrease of 12.4%
To get the monthly decrease value, we have to divide this given value by the number of months in a year which is 12
Thus, we have it that;
12.4%/12
= 1.0%
To the nearest tenth, the monthly decrease percentage is 1.0%
Frank runs each lap in 4 minutes. He will run at most 24 minutes today. What are the possible numbers of laps he will run today?
Answer:
At most he can run 6 laps
Step-by-step explanation:
24/4=6
Answer:
6 laps
Step-by-step explanation:
24 / 4 = 6 laps
Determine the area of the trapezoid
a. 16
b. 32
c. 24
d.8
3 x 2 ?? mark brainlyyyyyy
Answer:
6
Step-by-step explanation:
Hope it helps kkkkkjjj9
Answer:
easy 3x2=6
Step-by-step explanation:
it is basically 2 groups of 3 or 3+3 which is 6
I need this answered
I WILL GUVE BRAINIEST I NEED ASAP.
A car has 4 cylinders that each have a radius of 4cm and a height of
10. Use 3.14 for pi. Find the volume of a cylinder, solve for the total
volume of the engine in cubic centimeters, then round to the nearest
cubic centimeter.
Answer:
What I got for my answer for one of the cylinders is 502.65
I hope I helped :3 Let me know if your confused on it or need something done plz I will gladly help ^w^