Answer:
45 ways
Step-by-step explanation:
The number of ways the committee of 2 can be selected from a group of 10 may be found using the combination theory.
10 C 2
Recall that n C r = n!/(n-r)!r!
Hence
10 C 2 = 10!/(10 -2)!2!
= 10!/8!*2!
= 10 *9 *8!/8!* 2!
= 10 *9/2 * 1
= 90/2
= 45
Answer:
45
Step-by-step explanation:
got it right on test
Diana uses a wheelbarrow to haul wood from her backyard to the back of her
neighbor's house, located 30 024 feet away. She can push the wheelbarrow
3336 feet before she has to take a break.
How far would she be after 7 breaks?
GIVING BRAINLIEST!!!! Please help :(
Select the statement that describes this expression: (10 − 3) x 4 + 5.
A) 10 subtract 3 times 4 minus 5
B) 5 more than the difference of 10 and 3
C) Multiply 4 by the difference of 10 and 3, then add 5
D) 4 times the difference of 5 more than 10 and 3
I need help ASAP , State whether set of ordered pairs represent a function
{(-13,4) , (7,-15), (-13,9) (6,-12) (-18,0)
Answer:
No, the given set of pairs does not represent a function
Step-by-step explanation:
For a set of values to be a function, each input must have one and only one output value
Now, for the given set, we can note that:
The input -13 has two output values; 4 and 9
Therefore, this set is not a function
Hope this helps :)
If janice plays a game once and the probability of getting yellow is 0.24. How many times will the color shown be yellow if she plays 50 times?
Answer: 12
Step-by-step explanation:
Given
The probability of getting yellow color is 0.24
If the no of trials is 50
[tex]\text{No. of times yellow color shown(N) is}=p\times \text{no of trails}\\\Rightarrow N=0.24\times 50=12\ \text{times}[/tex]
Yellow color appears 12 times
Find the volume of a right circular cone that has a height of 7.5 m and a base with a
radius of 14.7 m. Round your answer to the nearest tenth of a cubic meter.
r = radius h = height s = slant height V = volume L = lateral surface area B = base surface area A = total surface area π = pi = 3.14159 √ = square root
Answer:
1697.2 <3
i got it right
2. The mean of 5 numbers is 10. The median is 13. What might the numbers be?
Find 2 different answers.
Mean is the average.
10 x 5 = 50
All 5 numbers need to add up to 50.
Median is the middle value, so there are 2 numbers below 13 and 2 numbers above 13.
Since the middle number is 13, the other 4 numbers must add up to equal 37 (50-13 = 37)
4 +3 = 7
14+16 = 30
1 set could be 3, 4 ,13, 14, 16
A 2nd set could be:
1 +2 = 3
16 + 18 = 34
1,2,13,16,18
Each patron can borrow the books for 2 weeks and a renew the loan twice. What is the maximum number of days can a patron keep the books he borrowed from the library?
the model below, the anchor of a guy-wire is 16 feet away from the telephone pole. John puts a 5 foot pole under the guy-wire parallel to the telephone pole (see image below).
John knows the distance he put his pole from the anchor, which is labeled X. John says he can use similar triangles to calculate the height of where the guy-wire meets the telephon
ble.
o you agree with John's statement that he can prove similarity if we know side x? Provide mathematical justification.
h
5 ft
16 ft
В І у
Answer:
Yes, because the two triangles share common segments.
You earn $62.50 shoveling snow off of 5 driveways. You charge the same amount for each driveway. How much did you earn for each driveway?
Answer:
the answer is 62.5/5=12.5
Answer:
12.5
Step-by-step explanation:
62.50 ÷ 5 = 12.5
Hope this helps!
Q1
A container has length 9750mm, width 6200mm and height 5500mm -
{a) Calculate its floor area in m2
(b) Calculate its volume in m3
Answer:
(a) 60.45 m2.
(b) 332.475 m^3.
Step-by-step explanation:
(a) area = length * width
= 9750 * 6200
= 60450000 mm^2
There are 1000*1000 = 1,000,000 mm^2 in 1 m^2 so the area in m^2
= 60.45 m^2.
(b) The height in meters is 5500 / 1000 = 5.5 m
Volume = area of floor * height
= 60.45 * 5.5
= 332.475 m^3.
hi please help i’ll give brainliest please
Answer:
6^3=6×6×6=216. So, the answer is 6x6x6 and 216.
Answer:
6x6x6, 3x3x3x3x3x3, 216
Step-by-step explanation:
6 to the third power is 6 times 6 times 6, also it's equal to 3 to the sixth power, also it's equal to 216.
Find the length of midsegment JN in the trapezoid.
Answer:
JN = 18.6
Step-by-step explanation:
Theorem: The length of the midsegment of a trapezoid is the average of the bases.
[tex]JN = \frac{15.4 + 21.8}{2}[/tex]
[tex]= \frac{37.2}{2}[/tex]
= 18.6
See how easy that is when you know the theorem.
HELP I NEED THIS ITS DUE IN AN HOUR!!!!
In ARST, the measure of ZT=90°, the measure of ZR=25°, and ST = 7.3 feet. Find the length of TR to the nearest tenth of a foot.
Step-by-step explanation:
ctg (25) = x / 7.3
2.1445 = x/ 7.3
x = 2.1445*7.3
x = 15.654
62x+4=33x×2x+8 please solve it
evaluate the function
Answer:
f=(x^2/2)+(9x/2)
Step-by-step explanation:
In the diagram, QR=ST=480, CU=5x, and CV=9x-56. Find the radius of circle C
Answer:
your answer will be option C. 250
Step-by-step explanation:
hope it helps you
have a great day
Identify the values of a, b, and c in the following quadratic equation. 6x 2 + x - 6 = 0
Answer:
[tex] a = 6 \\ b = 1 \\ c = - 6[/tex]
Step-by-step explanation:
[tex]6x^{2} + x - 6 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 6 \\ b = 1 \\ c = - 6[/tex]
Rewrite the equation in Ax+By=C form.
Use integers for A, B, and C.
y+2=3 (x-6)
Answer:
Step-by-step explanation:
It x=2
find the value of x in a triangle. x-20, x+10, x-20
The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)
Sum of all the interior angles of a triangle is 180°.
So a equation can be made by the given data,
(x-40°) + (x-20°) + (½ x-10°) = 180°
x-40°+x-20°+½x-10° = 180°
2x+½x -60°-10° = 180°
5/2 x - 70° = 180°
5/2 x = 180° + 70°
5/2 x = 250°
x = 250° × 2/5
x = 50° × 2
x = 100°
So the angles are
x-40° = 100°-40° = 60°
x-20° = 100°–20° = 80°
½x-10° = ½(100)° - 10° = 50° -10° = 40°
The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.
60° + 80° + 40° = 100° + 80° = 180°
5x+8 = 18
Please answer fast
Answer:
5x + 8 = 18
5x = 18 - 8
5x = 10 (divide both sides by 5 to get x)
5x/5 = 10/5
x = 2
Step-by-step explanation:
also can i get brainliest
You deposited $10,000 into a savings account that compounds quarterly. The account has an interest rate of 3%. What would be the value after 30 years?
Answer:
$24272.62
Step-by-step explanation:
Given data
Principal= $10,000
Rate= 3%
Time = 30 years
The expression for the compound interest is given as
A= P(1+r)^t
Substitute
A=10000(1+0.03)^30
A=10000(1.03)^30
A=10000*2.4272
A= 24272.62
Hence the final Amount A=$24272.62
How do I solve this problem? Thank you.
which one of the following is a factor of a²+bc+ab+ac?
What number is 50 % of 6/5
Answer:
3/5.
Since the numerator is an even number, you can simply remove half of it.
Line l has equation y=-3. Find the distance between l and the point E(-7,0).
Round to the nearest tenth.
Answer:
The given line has slope m=1
the perpendicular line MUST have slope -1
Since it MUST eat (-3,2), the intercept formula says
B = y - mx = 2 - (-1)(-3) = 2 - 3 = -1
so the equation of the perpendicular line that eats point W is
y = -x -1
The lines y=x+3 and it's perpendicular y = -x-1 intersect at
y = x+3 = -x-1
2x+3 = -1
2x = -4
x = -2
THe intersection point is
(-2,1)
Finally by distance formula,
The distance between (-3,2) and (-2,1) is
sqrt ( (-3 - -2)^2 + ( 2-1)^2)
= sqrt( (-3 + 2)^2 + (2-1)^2)
= sqrt( (-1)^2 + 1^2)
= sqrt ( 1+1)
= sqrt(2)
Step-by-step explanation:
The distance between line l and the point E (-7, 0) will be;
D = 3.
What is distance between point and line?
The distance between a line ax + by + c = 0 and point (p, q) will be;
D = |ap + bq + c|/√a² + b²
Given that;
Equation of line;
y = -3
And, Point = E (- 7, 0)
Hence, The distance between a line and point is calculated as;
Equation of line;
y = -3
y + 3 = 0
Compare with ax + by + c = 0, we get;
a = 0, b = 1 and c = 3
And, Point = (p, q) = (-7, 0)
Thus, The distance between a line and point is;
D = |0 + 0 + 3|/√0+1
D = 3
So, The distance between line l and the point E (-7, 0) will be;
D = 3.
Learn more about the equation of line visit:
https://brainly.com/question/24656140
#SPJ2
State if the triangles in each pair are similar. If so, complete the similarity statement.
Answer:
B
Step-by-step explanation:
Set up a proportion and see if it is true:
[tex]\frac{12}{8} =\frac{27}{18} \\\frac{3}{2} =\frac{3}{2}[/tex]
True, so they are similar.
The similarity statement would be QRS ~ QED
So B is the answer
Given Brainly to who ever help
Xavier needs to bike a minimum of 80 miles this week for his training if he is already biked 14 miles this week and how many miles should he bike on each of the six remaining days this week?
Answer:
if he wants to bike the same amount of miles each day he should bike 11 miles each day .
Step-by-step explanation:
subtract 14 - 80 = 66. 66 in 6 days is 11 each day
The projected population of Tennessee in 2030 is
about 5x5.9^8. Predict the average number of people
per square mile in Tennessee in 2030. Land area: about 5.9^6
Answer:
Population
Population estimates, July 1, 2019, (V2019) 6,829,174
Population estimates base, April 1, 2010, (V2019) 6,346,276
Population, percent change - April 1, 2010 (estimates base) to July 1, 2019, (V2019) 7.6%
Population, Census, April 1, 2010 6,346,105
Age and Sex
Persons under 5 years, percent 6.0%
Persons under 18 years, percent 22.1%
Persons 65 years and over, percent 16.7%
Female persons, percent 51.2%
Race and Hispanic Origin
White alone, percent 78.4%
Black or African American alone, percent(a) 17.1%
American Indian and Alaska Native alone, percent(a) 0.5%
Asian alone, percent(a) 2.0%
Native Hawaiian and Other Pacific Islander alone, percent(a) 0.1%
Two or More Races, percent 2.0%
Hispanic or Latino, percent(b) 5.7%
White alone, not Hispanic or Latino, percent 73.5%
Population Characteristics
Veterans, 2015-2019 431,274
Foreign born persons, percent, 2015-2019 5.1%
Housing
Housing units, July 1, 2019, (V2019) 3,028,213
Owner-occupied housing unit rate, 2015-2019 66.3%
Median value of owner-occupied housing units, 2015-2019 $167,200
Median selected monthly owner costs -with a mortgage, 2015-2019 $1,244
Median selected monthly owner costs -without a mortgage, 2015-2019 $388
Median gross rent, 2015-2019 $869
Building permits, 2019 41,361
Families & Living Arrangements
Households, 2015-2019 2,597,292
Persons per household, 2015-2019 2.52
Living in same house 1 year ago, percent of persons age 1 year+, 2015-2019 85.5%
Language other than English spoken at home, percent of persons age 5 years+, 2015-2019 7.2%
Computer and Internet Use
Households with a computer, percent, 2015-2019 87.1%
Households with a broadband Internet subscription, percent, 2015-2019 78.4%
Education
High school graduate or higher, percent of persons age 25 years+, 2015-2019 87.5%
Bachelor's degree or higher, percent of persons age 25 years+, 2015-2019 27.3%
Health
With a disability, under age 65 years, percent, 2015-2019 11.0%
Persons without health insurance, under age 65 years, percent 12.1%
Economy
In civilian labor force, total, percent of population age 16 years+, 2015-2019 61.0%
In civilian labor force, female, percent of population age 16 years+, 2015-2019 56.6%
Total accommodation and food services sales, 2012 ($1,000)(c) 12,499,013
Total health care and social assistance receipts/revenue, 2012 ($1,000)(c) 42,383,683
Total manufacturers shipments, 2012 ($1,000)(c) 139,960,482
Total merchant wholesaler sales, 2012 ($1,000)(c) 111,718,421
Total retail sales, 2012 ($1,000)(c) 91,641,605
Total retail sales per capita, 2012(c) $14,194
Transportation
Mean travel time to work (minutes), workers age 16 years+, 2015-2019 25.2
Income & Poverty
Median household income (in 2019 dollars), 2015-2019 $53,320
Per capita income in past 12 months (in 2019 dollars), 2015-2019 $29,859
Persons in poverty, percent 13.9%
BUSINESSES
Businesses
Total employer establishments, 2018 138,269
Total employment, 2018 2,683,214
Total annual payroll, 2018 ($1,000) 125,736,019
Total employment, percent change, 2017-2018 1.3%
Total nonemployer establishments, 2018 539,987
All firms, 2012 550,453
Men-owned firms, 2012 302,249
Women-owned firms, 2012 195,694
Minority-owned firms, 2012 105,234
Nonminority-owned firms, 2012 434,025
Veteran-owned firms, 2012 59,379
Nonveteran-owned firms, 2012 469,392
GEOGRAPHY
Geography
Population per square mile, 2010 153.9
Land area in square miles, 2010 41,234.90
FIPS Code
Step-by-step explanation:
You mix 4/5 quart of blue paint for every 1/3 quart of red paint to make 3 2/5 quarts of purple paint. How much blue paint and how much red paint do you use?
Answer:
1 quarts of red paint
2.4 quarts of blue paint
Step-by-step explanation:
Let :
a = quarts of blue paint
b = quarts of red paint
a + b = 3 2/5
a + b = 3.4 - - - (1)
Ratio of a and b :
a/b = 4/5 ÷ 1/3 = 4/5 * 3/1 = 2.4
a/b = 2.4
a = 2.4b - - (2)
From (1)
2.4b + b = 3.4
3.4b = 3.4
b = 1
a + b = 3.4
a + 1 = 3.4
a = 3.4 - 1
a = 2.4