Answer:
The natural numbers and the whole numbers are both subsets of integers. In other words, a rational number is a number that can be written as one integer over another.
Suppose there is a bag of 20 marbles. Of these marbles, 12 are green, 5 are blue, 2
are red, and 1 is black. What is the probability of drawing three marbles and having all
three be blue, without replacement?
Answer:
3/20 or (i think %15)
Step-by-step explanation
This is mostly a guess since I haven't done probability in a while. Good luck though.
21.
How many sets of 0.3 are there in the number 360?
There are 1200 sets of 0.3 in the number 360
What is the BODMAS rule?According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.
Given here, 360 is to divided by 0.3 thus,
360/0.3 = 3600/3
= 1200
Hence, There are 1200 sets of 0.3 in the number 360
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What is the value of m in the figure below? If necessary , round your answer to the nearest tenth of a unit
Using the concept of similar triangles, the value of m to the nearest tenth of a unit in the given figure is 6.71.
What are similar triangles?Triangles with the same geometry but different sizes are said to be similar triangles. Examples of related objects are all equilateral triangles and squares with any side length. In other words, two triangles that are similar have corresponding sides that are proportionate equal and corresponding angles that are similar.
From the concept of the similar triangle,
3/BD = BD/12
BD² = 12 × 3
BD² = 36
As triangle BDC is a right-angled triangle, use Pythagoras' theorem
m² = BD² + 3²
m² = 36 + 9
m² = 45
m = √45
m = 6.708
m ≈ 6.71
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Find the coordinates of the circumcenter of the triangle with the given vertices.
L(3,−6), M(5,−3), N(8,−6)
P(1.6,-2.9) are the coordinates of circumcentre of the triangle
How to find the coordinates of the circumcenter of a triangle?The circumcenter of a triangle is the point where the perpendicular bisectors of the sides of that particular triangle intersect.
Let L(3,−6), M(5,−3), N(8,−6) be the vertices of the given △LMN.
Let P(x,y) be the circumcentre of △LMN. Then,
PL = PM = PN
Also, PL² = PM² = PN²
PL² = PM²
(x-3)² + (y-(-6))² = (x-5)² + (y-(-3))²
(x-3)² + (y+6)² = (x-5)² + (y+3)²
x²-6x+9 + y²+12y+36 = x²-10x+25 + y²+6y+9
4x + 6y = -11 ---- (1)
Also, PM² = PN²
(x-5)² + (y-(-3))² = (x-8)² + (y-(-6))²
(x-5)² + (y+3)² = (x-8)² + (y+6)²
x²-10x+25 + y²+6y+9 = x²-16x+64 + y²+12y+36
6x - 6y = 27 ---- (2)
Solve (1) and (2) simultaneously by elimination:
6 × (4x + 6x = -11)
4 × (6x - 6y = 27)
24x + 36y = -66
24x - 24y = 108
subtract:
60y = -174
y = -174/60
y = -2.9
Put y = -2.9 into (1):
4x + 6x = -11
4x + 6(-2.9) = -11
4x - 17.4 = -11
4x = 6.4
x = 1.6
Thus, the coordinates of the circumcentre of △LMN are P(1.6, -2.9)
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a room to be carpeted is 20 ft length and 20 ft width and cost $2.25 a square foot. how much do it cost to carpet the room?
12. A bowl with 60 red candies and 24 green
candies was used to decorate cookies. The
same ratio of red to green candies in the
bowl was used to decorate each cookie. If
a cookie had 15 red candies, how many
green candies did it have?
Answer:
45 green candies did the cookie have.
What is the surface area of the cylinder with height 2 ft and radius 4 ft? Round your answer to the nearest thousandth.
Answer:
Lateral surface area:
A = 2πrh = 2*3.14*4*2 = 50.24 ft²Total surface area:
S = 2πrh + 2πr² = 50.24 + 2*3.14*4² = 150.72 ft²Answer:
Surface Area = 150.796 ft² (nearest thousandth)
Step-by-step explanation:
Surface area of a cylinder
[tex]\sf SA=2 \pi r^2+2 \pi rh[/tex]
where:
r is the radiush is the heightGiven:
radius (r) = 4 ftheight (h) = 2 ftSubstitute the given values into the formula and solve for SA:
[tex]\begin{aligned}\sf SA & = \sf 2 \pi r^2 + 2 \pi rh\\\implies \sf SA & = \sf 2 \pi (4)^2 + 2 p\i (4)(2)\\& = \sf 2 \pi (16) + 2 \pi (8)\\& = \sf 32 \pi + 16 \pi \\& = \sf 48 \pi \\& = \sf 150.7964474... \\& = \sf 150.796 \:ft^2\: (nearest\:thousandth)\end{aligned}[/tex]
Therefore, the surface area of the cylinder with height 2 ft and radius 4ft is 150.796 ft² (nearest thousandth).
Find the distance between the points E(1,7) and F(-3,2).
Answer:
d = √(x²~x¹)² + (y²-y1)²
Step-by-step explanation:
√(1--3)² + (7-2)²
the square root covers everything
then put this answer on the calculator
Answer:
[tex]\sqrt{41}[/tex]
Step-by-step explanation:
First of all this is too easy, if you are having problems with this then I highly recommend you to ask your teacher for help
Formula -> [tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Identify which is x and which is y
-> E (1,7) F(-3,2)
|[tex]x_1[/tex]|[tex]y_1[/tex]| |[tex]x_2[/tex]|[tex]y_2[/tex]|
-> [tex]D=\sqrt{(-3-1)^2+(2-7)^2}[/tex]
-> [tex]D=\sqrt{(-4)^2+(-5)^2}[/tex]
-> [tex]D=\sqrt{16+25}[/tex]
-> [tex]D=\sqrt{41}[/tex]
The derivative of the function f is given by f′(x)=x^2−2−3xcosx. On which of the following intervals in [−4,3] is f decreasing?
The function f'(x) = x² - 2 - 3xcosx is decreasing on (- 4, - 3) and (- 1, 1).
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function f'(x) = x² - 2 - 3xcosx.
We know a function f(x) is decreasing if f'(x) is < 0.
Therefore,
x² - 2 - 3xcosx < 0.
x² - 3xcosx < 2.
x(x - 3cosx) < 2.
Now, 3cosx can be [- 3, 3].
x(x - 3) < 2 and x(x + 3) < 2.
x < 2 Or x - 3 < 2 and x < 2 or x + 3 < 2.
x < 2 Or x < 5 and x < 2 or x < - 1.
But x should be in [- 4, 1], Therefore it is decreasing at (- 4, - 3) and (- 1, 1).
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Question 5 of 10
Mackenzie took out a payday loan for $1100 that charged a $95 fee. If the
loan matures in 2 weeks, what is the approximate effective interest rate of the
loan?
OA. 862%
OB. 86%
OC. 76%
OD. 762%
Four student government officers want to go to the state convention. It will cost them $100 for registration, $375 for transportation and food, and $41 per person for the hotel. There is $425 budgeted for the convention in the student government savings account. They can earn the rest of the money they need by having a car wash. If they charge $5 per car, how many cars must they wash in order to have enough money to pay for the trip?
cars___?
Answer:
$100 + $375 + $41(4) = $516
$516 - $425 = $91
$91 / $5 = 18.2 cars
Therefore, the four student government officers must wash 18 cars in order to have enough money to pay for the trip.
Photo attached. Someone please help
Thanks
By using the graph, a solution the given system of equations include the following:
x = 0, y = 3
x = 3, y = 6
What are quadratic functions?In Mathematics, the graph of every quadratic functions (equations) is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic function (equation) would always form a parabolic curve.
In this scenario, we would use an online graphing calculator to plot the graph of the given system of equations and then determine the point of intersection.
y = x + 3
y = x² - 2x + 3
By critically observing the graph of the given system of equations, the solutions are as follows;
x = 0, y = 3.
x = 3, y = 6.
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Find the surface area of a right square pyramid with base edge length
2 feet and height 5 feet.
Answer:
24.4 sq. ft.
Step-by-step explanation:
Area of a right square pyramid is:
A = a^2 + 2(a)*square root of ((a^2/4) + b^2)
A = 4 + 4 (square root of ((4/4) + 25) = 4 + 4* square root of 26
A = 4 + 4*5.099
A = 4 + 20.396
A = 24.396 sq ft.
y is equal to 5 less than the product of x and -2. If the output is -27, what is the input?
Answer: 27 over 2,5
Step-by-step explanation:
Carl coaches a youth basketball team. Pat is one of the players on the
team. The number of points Pat has made each game this season and
last season are shown in the table below.
This season 6, 12, 5, 4, 6, 8, 7
Last season 0, 3, 4, 6, 4, 9, 2, 1, 3, 4, 5
Carl decides which players to put on the court based on the third quartile
of the number of points they have made. How much higher is Pat's third
quartile this season than last season?
the q3 is just above the median so
Step-by-step explanation:
its higher by 5
PLEASE HELP
i will mark brainliest!
10 points
according to a recent article about individuals who have credit cards, the mean number of cards per person with credit cards is 4. To test this results a random survey of 60 individuals who have credit cards were conducted. The survey only includes the number of credit cards per participant
Answer:
The variable of interest is NUMBER OF CREDIT CARDS. it is a QUANTITATIVE variable.
u=4
u<4
use a t1-84 go to stat, edit, input the table set into L1, back to stat, tests, t-test, data, u=4, list:L1, u<, calculate, enter that will give you a t0=-.62
p-value is in the range P-value>0.10
The P-value is GREATER than level of significance. DO NOT REJECT the null hypothesis. there IS NOT sufficient evidence to claim that the mean number of credit cards is LESS THAN 4.
Step-by-step explanation:
a. The first question in the study asked for the variable of interest. The variable is number of credit per participants. This variable is quantitative.
What is the hypothesis?The null hypothesis has H0: u = 4
Alternative hypothesis = H1: u < 4
To solve the for the p value and the test statistic, more data would be needed for this question.
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SAVINGS Natalie has $250 in her savings account, into which she deposits $10 of her allowance each week. The balance of her savings account can be modeled by the function f(w)=250+10w, where w represents the number of weeks. Which function g(w) represents the balance of Natalie’s savings account if she withdraws $40 to purchase a new pair of shoes? Describe the translation of f(w) that results in g(w).
Answer:
Answer:Step-by-step explanation:GivenRequiredDetermine g(w)First, we'll write an expression for g(w)From the question, we understand that she withdrew $40 from her account balance in w weeks.This implies that:Where f(w) is the account balance in w weeks and $40 is the withdrawn amountSubstitute 250 + 10w for f(w)Collect Like TermsRecall that:This means that function f(w) when shifter by 40 units downward, gives g(w)
Step-by-step explanation:
What is the volume of the figure below?
A.30ft3
B.60ft3
C.90ft3
D.120ft3
Answer:
120 I think is the answer not sure tho sorry if u get it wrong
Step-by-step explanation:
Use technology to convert the polar coordinates (5,6.1) to rectangular coordinates. (0.98, – 0.18) (0.98, 0.18) (4.92, – 0.91) (4.92, 0.91)
Answer: (4.92, -0,91)
Step-by-step explanation:
This should be C on edge 2021
Answer:
C: (4.92, –0.91)
Step-by-step explanation:
Took the quiz
how to work XYZ company's cost function for the next four months is c=500,000+5Q .. If, because of strike, the most the company can produce is br. 100,000 units, should it shutdown? Why or why not?
Answer:
(A) So since BE means cost = revenue, you just need to solve
6Q = 500,000 + 5Q
(B) they told you at the top what the 4-month cost is. That is still true, even if Q=0
(C) find revenue for 100,000. If less than cost, shut down.
What is the slope of the line that passes through the points (-2,12) and (0,3)
Answer:
-9/2
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(3-12)/(0-(-2))
m=-9/(0+2)
m=-9/2
Please help me!!! I will try to give brainliest!!!
If you bike for 2 hours at a constant speed of 12 mph, you’ll travel __ miles
NO LINKS, PLZ JUST TELL ME
Answer:
24 miles....you travel 24 miles per hour
Step-by-step explanation:
you multiply your mph by the amount of hours to get the answer
6) What is the value of digit 7 in 0.057 *.///what is the answer _____________________
7/10
0.07
7/1000
Answer: 7/1000 (choice C)
This is because the 7 is in the thousandths decimal place. We put the 7 over 1000 to form the fraction 7/1000.
Miss Harris writes three checks for exactly $3000 what was the change in her bank account??
Here are two number machines that always give the same number for any input. Use the machines expressions to explain why both machines will produce the same outputs for any input.
The area of the floor of a cubical room is 49square meter. Find the area of 4 walls of room.
Answer:
If the walls are the standard 8 feet tall and the room is square, then:
the wall length and width is both 7 feet.
The area of the walls would be 4x7x8 = 224 ft² (also providing there are no doors or windows)
help me please this question is about shapes and tree diagrams
Answer:
quadrilateral is most specific
Help me out smartie pants hahahahaahahaha
Answer:
5/8
I had it
Answer: 40
Step-by-step explanation:
HI!
1) first you would get any algebra calculator
2) punch in the numbers
3) get the answer
-YOUR WELCOME