Answer:
A Variable is a symbol for a number we don't know yet
Its called a constant
Can someone answer this please
Answer:
<COB = 50°
Step-by-step explanation:
We can say that m<AOC + m<COD + m<DOB = 180° because the three mentioned angles form a straight line. We can substitute to get:
3x + 94 + x + 18 + 2x - 4 = 180
Then, we can combine like terms:
6x + 108 = 180
6x = 72
x = 12
We can see that m<COB is the sum of m<COD and m<DOB. We can wrote an equation to model the situation:
m<COB = m<COD + m<DOB
m<COB = x + 18 + 2x - 4
m<COB = 3x + 14
We have the value of x, so we can substitute that in:
<COB = 3(12) + 14
<COB = 36 + 14
<COB = 50°
Consider that x = −5 and y = −4. Which statement is true about x + y?
Question 17 options:
The sum of x and y is a rational number.
The sum of x and y is an imaginary number.
The sum of x and y is an irrational number.
The sum of x and y is neither rational nor irrational.
Answer:
The sum of x and y is a rational number.
Step-by-step explanation:
-5 + -4 = -9
-9 is a rational number
brainley i give if answer fast
Answer:
The answer is 9/7 because you know 1 is 7/7, so it's like 7/7 and 2/7. This means it is 7/7 plus 2/7, which makes it 9/7. So the answer is 9/7 hope it helped!
Step-by-step explanation:
Consider a sample with data values of 27, 25, 20, 15, 30, 34, 28, and 25. Compute the range, interquartile range, variance, and standard deviation (to a maximum of 2 decimals, if decimals are necessary).
Range:
Interquartile range:
Variance:
Standard deviation:
Range: 19
Interquartile range: 6.5
Variance: 44.86
Standard deviation: 6.70
Step-by-step explanation:
Given set:
27, 25, 20, 15, 30, 34, 28, 25.
(i) Range is the difference between the largest value and smallest value in a given data.
In the data above, the;
largest value = 34
smallest value = 15
Range = largest - smallest
Range = 34 - 15
Range = 19
(ii) Interquartile range is the difference between the median (Q₁) of the lower half of the given data, and the median (Q₃) of the upper half of the given data. i.e Q₃ - Q₁.
This should be done after ordering the given data in ascending order.
Ordering the above data gives:
15, 20, 25, 25, 27, 28, 30, 34
In the data above;
lower half = 15, 20, 25, 25
upper half = 27, 28, 30, 34
Find median (Q₁) of the lower half
Since there are even number of data, the median is the average of two middle numbers (20 and 25) i.e.
Q₁ = [tex]\frac{20+25}{2}[/tex] = [tex]\frac{45}{2}[/tex] = 22.5
Find median (Q₃) of the upper half
Since there are even number of data, the median is the average of two middle numbers (28 and 30) i.e.
Q₃ = [tex]\frac{28+30}{2}[/tex] = [tex]\frac{58}{2}[/tex] = 29
Interquartile range = Q₃ - Q₁
Interquartile range = 29 - 22.5
Interquartile range = 6.5
(iii) Variance is the measure of variability of a given set of data. It is calculated by following these steps:
=> First find the mean of the data by summing the numbers and dividing by the number of numbers. i.e
mean(x) = [15 + 20 + 25 + 25 + 27 + 28 + 30 + 34] / 8
mean(x) = [204] / 8
mean(x) = 25.5
=> Next, get the mean deviation by subtracting the mean from each individual value in the given set of data. i.e
15 - 22.5 = -7.5
20 - 22.5 = -2.5
25 - 22.5 = 2.5
25 - 22.5 = 2.5
27 - 22.5 = 4.5
28 - 22.5 = 5.5
30 - 22.5 = 7.5
34 - 22.5 = 11.5
=> Next, find the square of each of the results obtained above. i.e
(-7.5)² = 56.25
(-2.5)² = 6.25
(2.5)² = 6.25
(2.5)² = 6.25
(4.5)² = 20.25
(5.5)² = 30.25
(7.5)² = 56.25
(11.5)² = 132.25
=> Next, add all the results above together as follows;
56.25 + 6.25 + 6.25 + 6.25 + 20.25 + 30.25 + 56.25 + 132.25 = 314
=> Now, obtain the variance by dividing the result above one less than the number of numbers.
The number of numbers is 8. One less than this gives 7.
Therefore,
Variance = 314 / 7
Variance = 44.86
(iv) Standard deviation is the measure of how the numbers in the given data are spread out. It is calculated as the square root of variance.
Therefore,
Standard deviation = √variance.
Variance has been calculated above.
Standard deviation = √44.86
Standard deviation = 6.70
What is the sum of 5.3 x 10 5 and 3.8 x 104 in scientific notation?
5.3×10^5=53×10^4
53×10^4+3.8×10^4
=56.8×10^4
=5.68×10^5. Hope it help!
Answer:
5.68 x 10^5
Step-by-step explanation:
5.3 x 10^5 + 3.8 x 10^4 = 5.68 x 10^5
After the tour, Tyler’s mom bought a pretzel and a bottle of water for each family member. The bottles of water cost $1.50 each. If she paid a total of $30, how much did each pretzel cost? There were 5 family members
Answer:
4.50
Step-by-step explanation:
water + pretzels =total
5(1.50)+ 5x =30
7.50+5x=30
5x=22.50
x=4.50
Alana is 2 years younger than Tommy and the
sum of their ages is 16. How old is Alana?
Answer:
7
Step-by-step explanation:
9 - 2 = 7
7 + 9 = 16
Mark as Brainliest
-2(x+3)=-2x-6 solve for x
Answer:
-2x-6=-2x-6
-6=-6
infinity many solutions
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
All Real Numbers
Step-by-step explanation:
A total of 800 copies of a CD were sold. 60% were sold at 50% discount, 20% were sold at 30% discount and the remainder were sold at the full price of N8.95. What was the approximate total revenue in Naira? *
Answer:
N4009.60
Step-by-step explanation:
800x.6x.5x8.95=2,148
800x.2x.3x8.95=429.6
800x.2x8.95=1,432
2148+429.6+1432=4009.6
helppppppppppppppppp plssssssssssss
Answer:
(-10,-7)
Step-by-step explanation:
On the x-line, it is on -10. Therefore, we know that the x-value is -10. On the y-line, the y- value is -7. Therefore, the y-value is -7. Therefore, it is on the point (-10,-7)
If this helps please mark as brainliest
Match each value on the left with the number on the right that includes that value.
this is ez
2 thousands = 72.000
6 hundreds = 1.549.606
4 millions = 4.630.114
9 ten thousands = 298.278
1 hundred thousand = 177.009
The spinner is divided into eight equal sections.
Red
Red
Blue
Red
Blue
Green
Green
Blue
What is the probability that the spinner will land on a green sectie
1/8
b
1/4
C С
1/3
d
1/2
find the 46th term 261 256 251
Answer:
36
Step-by-step explanation:
The numbers given represent an arithmetic series with a common difference of -5. The formula to find the nth term of an arithmetic sequence is:
a + (n - 1)d
where a is the first term and d is the common difference. We can substitute our values in:
261 + (46 - 1)(-5)
261 + (45)(-5)
261 + (-225)
36
Answer:
36
Step-by-step explanation:
Have a good day :)
at the end of a party there was one half pizza left over seven friends decided to divide the pizza equally. what fraction of the whole pizza did each friend have?
Answer:
Each friend only got 1/14 of the pizza.
Step-by-step explanation:
Each friend gets one slice of pizza, and there are 7, so you'd think just do 1/7 and that is the answer. However, it is talking about after the party where only have of the pizza is left. So you have to do 1/7*1/2 which equals 1/14.
Kayla swam 375 yards in 5
minutes. What is the average number
of yards she swam per minute
Answer:
75 yards
Step-by-step explanation:
375/5=75
Please solve these two questions!
Zach's parents put $1,500 in her bank account for college tuition. At an interest rate of
8.25% compounded weekly, what will be the balance after 18 years? (Make sure you
answer is in dollars and rounded to 2 decimal places)
Answer:
After 18 years, Zach's account balance will be $ 6,614.66.
Step-by-step explanation:
Given that Zach's parents put $ 1,500 in her bank account for college tuition at an interest rate of 8.25% compounded weekly, to determine what will be the balance after 18 years the following calculation must be performed:
1,500 x (1 + 0.0825 / 52) ^ 18x52 = X
1,500 x 1.00158653 ^ 936 = X
6,614.66 = X
Therefore, after 18 years, Zach's account balance will be $ 6,614.66.
gave her a 4.50$ tip. The tip was 9% of the cost of the . Write an equation to find b, the cost?
Answer:
$50
Step-by-step explanation:
Here's a good formula I use for finding percentages.
4.50÷9x100=50
I had a calculator confirm this. The answer is $50.
And also, thanks so much for 50 points, that's really generous.
How much paint will you need to paint all sides of the box shown below? show work and use volume or surface area formula.
Answer: 100
Explanation: triangle area is l x h ÷ 2 rectangle area is l x h. 4 x 3 =12÷2 +12÷2 =12 11x4x2= 88 88+ 12=100.
Courtney used 14 sq ft of wrapping paper to wrap 2 same-size packages. What is the greatest number of same-sized packages. Courtney can wrap using 56 sq ft of wrapping paper?
plzzz help
A bag of marbles has 10 red marbles, 4 green marbles, and 6 blue marbles. A marble is randomly drawn from the bag before another marble is drawn, without replacement. What is the probability that a green marble and then a red marble are selected? Enter your answer as a fraction in simplest form in the box
Answer:
Step-by-step explanation:
A bag contains 8 red marbles, 3 blue marbles and 7 green marbles.
Total = 18 marbles.
Probability of drawing three red marbles = probability of drawing one red without replacement + probab of drawing another without reeplacement + probab of drawing a third without replacement.
Probability of drawing three red marbles = 8/18 + 7/17 + 6/16 = 0.4444 + 0.4118 + 0.3750 = 1.2312.
8
14
А
34°
11
b
A
b = 578.36
B
b = 7.85
С
b = 61.66
D
b = 24.05
9514 1404 393
Answer:
B. 7.85
Step-by-step explanation:
Your knowledge of the triangle inequality tells you 'b' cannot be greater than 11+14 = 25, eliminating choices A and C. If 'b' were 24.05, as suggested by choice D, the angle at B would be nearly a straight angle.
So, the only viable choice is b = 7.85.
__
Your knowledge of "special" triangles tells you that if B were 30°, then b would be 14/2 = 7.0. The angle is slightly larger than that, so the side opposite is slightly larger than 7.0.
__
In this geometry, the Law of Cosines would be used to find b. That relationship tells you ...
b = √(a^2 +c^2 -2ac·cos(B))
b = √(121 +196 -308·cos(34°)) ≈ √61.66 ≈ 7.85
_____
About special triangles
There are two "special" right triangles whose trig functions are not difficult to remember. They appear quite often in algebra, geometry, and trig problems, so remembering their properties can be useful.
A 30°-60°-90° right triangle has side lengths in the ratios 1 : √3 : 2. The shortest side is exactly half the length of the hypotenuse. This fact is what we referred to above.
A 45°-45°-90° isosceles right triangle has side lengths in the ratios 1 : 1 : √2. This is the triangle you get by drawing a diagonal in a square. These ratios tell you the diagonal of a square is always √2 times the side length.
Help please :))))))))
Answer:
10m The answer is D
Step-by-step explanation:
Four times Audrey's age plus 7 is Parag's age. Parag is 51. What is Audrey's age?
Answer:
Audrey is 5 years and 9 months old
Step-by-step explanation:
51 divided by 4 = 12.75
12.75 - 7 = 5.75
75% of 12 is 9
Audrey is 5 years and 9 months old
In a survey of 48 hospital patients. 20 said they were satisfied with the nursing care, 23 said they were satisfied with the medical treatment, and 6 said they were satisfied with both. How many patients were satisfied with neither? How many were satisfied with only the medical treatment?
Answer:
11 patients were satisfied with neither and 23 patients were satisfied with only the medical treat
Step-by-step explanation:
trust me i'm Asian
the sum of 2 numbers is 18 while the product is -63. find the numbers.
Answer:
Step-by-step explanation:
let the numbers be x and y,then
x+y=18
x=18-y
also xy=-63
(18-y)y=-63
18y-y²=-63
y²-18y-63=0
y²-21y+3y-63=0
y(y-21)+3(y-21)=0
(y-21)(y+3)=0
y=21,-3
when y=21
x=18-21=-3
when y=-3
x=18-(-3)=18+3=21
so numbers are -3 and 21.
There are 3 apples, 4 oranges and 1 pear in a bag. Find each probability
1) Select an orange and then a pear(without replacement)
2)You select an orange then an apple then a pear without replacement
3)You select an Apple, then an orange, then another apple without replacement
Help please
Answer:
8 fruit total
1) orange probability: 4/8 = 1/2
pear probability after one fruit is taken out: 1/7
probability of getting one then the other without replacement: 1/2 x 1/7 = 1/14
2) orange: 1/2
apple: 3/7
pear: 1/6
probability of getting them in order without replacement: 1/2 x 3/7 x 1/6 = 1/28
3) apple: 3/8
orange: 4/7
apple: 2/6 = 1/3
probability of getting them in order without replacement: 3/8 x 4/7 x 1/3 = 1/14
Answer:2/6 or 33% chance of getting an apple, 3/24 or 13% of getting a pear and 13/24 or 54% chance of getting an orange hope that helps.
Step-by-step explanation:
please help me before the bots do thank you!!!
Answer:
517.5 mi^2
Step-by-step explanation:
Divide shapes into 3 shapes ( 1 triangle and 2 rectangles
b = 17
h = 25
Area of triangle = [tex]\frac{1}{2}[/tex] Bh
A = [tex]\frac{1}{2}[/tex] (17)(25)
A = 212.5 mi^2
Area of 1st rectangle = lw = 17(9) = 153 mi^2
Area of 2nd rectangle = lw = 19(8) = 152 mi^2
Area of figure = 212.5 +153 + 152 = 517.5 mi^2
consider this quadratic equation x2+2x+7=21 the nuber of positive solutions to this equation are blank. the approximate value of the greatest solution to the equation, rounded to the nearest hundredth, is blank.
Answer:
x²+2x+7-21=0
x²+2x-14. =0
x²+2x. =14
x²+2x+1. =14+1
(X+1)². =15
X+1. =+/-√15
X=-1+/-√15
X=-1+3.872983346207
=2.872983346207(greatest solution) round it as possible
X=-1-3.872983346207
=-4.872983346207
What is the probability of the spinner landing on 2?
Answer:
1/4
I hope this helps!
Please mark brainliest.
1/4 or c.)
Hope this helped :T