The coordinates of point C are (-9, 1)
How to determine the coordinates of point C?The points are given as:
A = (-21, -7)
B = (-6, 3)
m : n = 4 : 1
The coordinates of point C is calculated as:
[tex]C = \frac{1}{m+n} *(mx_2 + nx_1, my_2+ ny_1)[/tex]
So, we have:
[tex]C = \frac{1}{4+1} *(4 * -6 + 1 * -21, 4 * 3+ 1 * -7)[/tex]
This gives
[tex]C = \frac{1}{5} *(-45, 5)[/tex]
This gives
C = (-9, 1)
Hence, the coordinates of point C are (-9, 1)
Read more about line segment ratio at:
https://brainly.com/question/15895161
#SPJ1
Are there any supplementary, vertical, or complimentary angles? If so wich ones
Supplementary: N and M
Supplementary angles: A pair of angles whose sum is equal to 180°.
Vertical: N and R
Vertical angles: A pair of angles that are made by two intersecting lines.
Complimentary: P and Q
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
Mother plans to buy 1/2 kilogram of chicken and 2/5 kilogram of beef How many kilograms of meat does she plan to buy?
Answer:
Step-by-step explanation:
find y and round to the nearest tenth. thank you
Answer and Step-by-step explanation:
31 degrees on the top would be equal to the angle in between x and 600ft, by the interior angles theorem.
That means we can solve for y using the trigonometric function of tangent.
[tex]tan(31) = \frac{y}{600}[/tex]
Multiply by 600 to both sides, then use a calculator to solve.
600(tan(31)) = x
x = 360.5163714
x ≈ 360.5 is the answer.
The area of a rectangle is 2x*2-13x+12 and another area is 6x^2-13x+21, what is the combined area of both rectangles?
Answer:
8x^2 - 26x + 33
Step-by-step explanation:
Add the expressions.
2x^2 - 13x + 12 + 6x^2 - 13x + 21 =
= 2x^2 + 6x^2 - 13x - 13x + 12 + 21
= 8x^2 - 26x + 33
The probability of a head is 0.27. The coin is thrown 200 times. Write an
estimate for the amount of tails
Answer:
The estimate for the amount of tails is 146.
Step-by-step explanation:
For each throw, there are only two possible outcomes. Either it is a head, or it is tails. Throws are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
The probability of a head is 0.27.
This means that the probability of tails is [tex]p = 1 - 0.27 = 0.73[/tex]
The coin is thrown 200 times.
This means that [tex]n = 200[/tex]
Write an estimate for the amount of tails
This is the expected value, so:
[tex]E(X) = np = 200*0.73 = 146[/tex]
The estimate for the amount of tails is 146.
one boy has 63k and another 59k .if they share it equally,how much does each of them get
Answer:
61k
Step-by-step explanation:
63+59=122
122/2=61
Answer:
61000
Step-by-step explanation:
First add 63K + 59K. You'll get 122K. Then divide that number by two. You'll get 61 K, which is 61000.
Select the expression that is equivalent to 2b+ 5 + 6b − 2b − 1.
Step-by-step explanation:
no entiendo.....aaaaa
Answer:
6b+4
Step-by-step explanation:
Suppose a researcher compiled a data set consisting of the following variables for a sample of 100 retired men. For each variable, select whether it is discrete or continuous. Variable Discrete Continuous The number of meals eaten out in the last week The number of pets currently living in the household Pant size Height in inches Pounds of chocolate consumed in the past year
Step-by-step explanation:
A discrete variable can be defined as a definite variable that we can get it's possible values just by counting. With this in mind.
1. The number of countries ever visited is a discrete variable
2. Shoe size is definite, it is a discrete variable.
3. Number of pets living in a household is a discrete variable.
A continuous variable is one that we can get the value through measurements.
1. Pounds of chocolate consumed in the past is continuous
2. Height in inches is continuous
If a scientific team uses special equipment to measures the pressure under water and finds it to be 282 pounds per square foot, at what depth is the team making their measurements?
p=282 pounds per square foot =1 376.8 kg/m2
d- density of water
d≈997 kg/m³
p=d*h
h=p/d
h=1 376.8/997
h=1.38 m (about 4530 feet 105⁄64 inches)
Prove: An even plus an even is
an even
2n + 2m = [? ](n + m)
= even
Answer:
2(n + m)
Step-by-step explanation:
Plz solve the calculus :')
Answer:
[tex] \frac{2}{3} \bigg[ x\sqrt{ {x}} + (x - 1)\sqrt{ {(x - 1)}} \bigg] + c[/tex]
Step-by-step explanation:
[tex] \int \frac{1}{ \sqrt{x} - \sqrt{x - 1} } dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ (\sqrt{x} - \sqrt{x - 1} )( \sqrt{x} + \sqrt{x - 1} )} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ (\sqrt{x})^{2} - (\sqrt{x - 1} )^{2}} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ x - (x - 1 )} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ x - x + 1} dx \\ \\ = \int \frac{ \sqrt{x} + \sqrt{x - 1}}{ 1} dx \\ \\ = \int (\sqrt{x} + \sqrt{x - 1}) dx \\ \\ = \int \sqrt{x} \: dx+ \int\sqrt{x - 1} \: dx \\ \\ = \int {x}^{ \frac{1}{2} } \: dx+ \int {(x - 1)}^{ \frac{1}{2} } \: dx \\ \\ = \frac{ {x}^{ \frac{3}{2} } }{ \frac{3}{2} } + \frac{ {(x - 1)}^{ \frac{3}{2} } }{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} {x}^{ \frac{3}{2} } + \frac{2}{3} {(x - 1)}^{ \frac{3}{2} } + c \\ \\ = \frac{2}{3} \bigg[ \sqrt{ {x}^{3} } + \sqrt{ {(x - 1)}^{3} } \bigg] + c \\ \\ = \bold{\purple {\frac{2}{3} \bigg[ x\sqrt{ {x}} + (x - 1)\sqrt{ {(x - 1)}} \bigg] + c}} [/tex]
Need help getting a equation that you distribute that will equal x=6
Answer:
x+6=10-4+6
x=6+6-6
x=6
A contractor is required by a county planning department to submit one, two, three, four, five, six, or seven forms (depending on the nature of the project) in applying for a building permit. Let Y = the number of forms required of the next applicant. The probability that y forms are required is known to be proportional to y—that is, p(y) = ky for y = 1, , 7.
A) What is the value of c?
B) What is the probability that at most three forms are required?
C) What is the probability that between two and four forms (inclusive) are required?
D) Could pX(x) = x^2/50 for x = 1, . . . , 5 be a probability distribution of X? Explain.
Answer:
Step-by-step explanation:
Given that:
P(Y) = ky
where;
y =1,2,...7
To find the value of c or k (constant)
[tex]\sum P(Y) = 1[/tex]
[tex]\sum \limits_{y \to 1}^7 k*y = 1[/tex]
= k(1+2+3+4+5+6+7) = 1
28k = 1
[tex]k = \dfrac{1}{28}[/tex]
b) The required probability is P ( X ≤ 3)
[tex]P(X \le 3) = \sum \limits^3_{y=1 } P(y)[/tex]
[tex]P(X \le 3) = \sum \limits^3_{y=1 } \dfrac{1}{28}(y)[/tex]
[tex]P(X \le 3) = \dfrac{1}{28} (1 +2+3)[/tex]
[tex]P(X \le 3) = \dfrac{6}{28}[/tex]
P ( X ≤ 3) = 0.2143
c) The required probability P(2 ≤ Y ≤ 4)
[tex]P(2 \le Y \le 4) = \sum \limits ^4_{y=2} P(Y)[/tex]
[tex]P(2 \le Y \le 4) = \sum \limits ^4_{y=2} \dfrac{1}{28}(Y)[/tex]
[tex]P(2 \le Y \le 4) = \dfrac{1}{28}(2+3+4)[/tex]
[tex]P(2 \le Y \le 4) = 0.3214[/tex]
d) The required probability:
[tex]P(X) = \dfrac{x^2}{50} ; \ \ \ \ where; \ x= 1,2,...5[/tex]
[tex]\sum \limits ^5_{y =1} P(Y)= \sum \limits ^5_{y =1} \dfrac{1}{50}(x)^2[/tex]
[tex]\sum \limits ^5_{y =1} P(Y)= \sum \limits ^5_{y =1} \dfrac{1}{50}(1+4+9+16+25)[/tex]
[tex]\sum \limits ^5_{y =1} P(Y)=1.1[/tex]
A figure is reflected across the x-axis, then reflected across the y-axis.
Which of the transformations will not always produce the same result?
A. Reflection of each point on the figure across the origin
B. Rotation of 180°
C. Reflection across the y-axis, then across the x-axis
D. Reflection across the line y=x
6/30 in its simplest form
Answer:
[tex]\frac{1}{5}[/tex]
Step-by-step explanation:
Answer:
1/5
Step-by-step explanation:
6/30 can be simplified by finding the LCD (least common denominator), which is 6
divide both the top & bottom by 6
6/6 = 1
30/6 = 5
thus, your answer is 1/5
I need help on this :)
Answer:
<
Step-by-step explanation:
Need points :(
Answer:
Step-by-step explanation:
x+23+x=90
2x=67
x=33.5
n is an integer.
Write the values of n such that -15 < 3n <6
I need know please
Answer:
-5<n≤2
Step-by-step explanation:
Divide 3 by -15 nad 6 since we need to find the "n" we need to divide on all sides, so -15 divided by 3 is -5 so replace -15 with -5 and 6 divided by 3 is 2 so replace 6 with 2
Help me pls and pls show work
Answer:
if you need it as improper then 25/12
Step-by-step explanation:
Two different age groups were surveyed about the amount of time they spent on social media.
For b you had to add 25 and 35 together to make 60.
Divide 60 by 2 to get 30. 30 is the average between the two numbers. You then find the frequency of 30 using the graph. For the 12 year olds it is 40 and for the 18 year olds it is 60. Find the difference between these 2. So 60-40= 20
Which pair of functions are inverses?
A.f(x) = 2x + 1, g(x) = 2x - 1
B. f(x)=3x+2. g(x)= 1/3x-2/3
C. f(x) = 4x, g(x) = -4x
D. f(x)= x+1/5, g(x)= x+5
Answer:
3
Step-by-step explanation:
2 plus 1 is 3
Please help Firts I need to write with a function
Second what is the answer
Answer:
Step-by-step explanation:
The answer is 48 hotdogs because 120 divided by $2.50 is 48
Sarah is a news anchor. She works 55 hours a week, but she is only on-air about 17% of those hours. Approximately how many hours is Sarah on-air each week?
Write a response to the following using Claim, Evidence, Reasoning.
Refer to the kite ABCD with diagonal AC shown above.
Use careful reasoning to explain why 21 22 and 23 24.
Answer:
The answer is A 21
Step-by-step explanation:
Round off to the nearest
3,142
(1,−1)and(6,9) Write the slope-intercept form of the equation of the line through the given points.
Answer:
2
Step-by-step explanation:
So first you would do y2-y1/x2-x1
9-(-1)/6-1
10/5=
2
Whoever answers first gets brainliest
Step-by-step explanation:
nasaan po ang tanong, where is the question
HURRY IM TIMED!!!
Select all the expressions that are equivalent to 21.
A.210 ÷ 10
B.741 ÷ 39
C.630 ÷ 30
D.756 ÷ 36
E.200 ÷ 10
Answer:
A, C, and D
Step-by-step explanation:
Answer: A - C - D
Step-by-step explanation:
A= 21
B= 19
C= 21
D= 21
E= 20
What is the temperature shown?
Answer:
-3
....................
Answer:
-3
Step-by-step explanation:
Please help me!!!!
Eight students share 12 mini oatmeal muffins equally and 6 students share 27 mini apple muffins equally.
Carmine is in both groups of students.
What is the total number of mini muffins Carmine gets?
Carmine gets
muffins.
Step-by-step explanation:
oatmeal 12/8 = 1.5 per student
apple 27/6 = 4.5 per student
carmine gets 1.5 + 4.5 = 6 muffins
Answer:
Step-by-step explanation:
(12 oatmeal)/(8 students) = (1.5 oatmeal)/student
Each student gets 1.5 oatmeal muffins.
(27 apple)/(6 students) = (4.5 apple)/student
Each student gets 4.5 apple muffins.
Carmine gets 1.5 oatmeal plus 4.5 apple = 6 muffins
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
y= 9 x= -42
Step-by-step explanation: