Answer:
g
Step-by-step explanation:
In a family there is 1 mother and 1 father also 4 daughters who have one brother . How many family members are there
Answer:
There are 7 total family members.
Step-by-step explanation:
The mother and father make 2, the 4 daughters make 6, and they have one brother among them, making 7.
Find the point on the line 6x + y = 8 that is closest to the point
(−5, 2).
(x, y) =
9514 1404 393
Answer:
(x, y) = (31/37, 2 36/37) ≈ (0.8378, 2.9730)
Step-by-step explanation:
There are several ways we can go at this.
Method 1
Find the point of intersection with the perpendicular line through (-5, 2).
The perpendicular line will have the x- and y-coefficients swapped, one of them negated, and a new constant consistent with the given point.
x -6y = (-5) -6(2) = -17
So, we're looking for the solution of the system of equations ...
6x +y = 8x -6y = -17Using Cramer's Rule, we can find the solution to be ...
x = ((1)(-17) -(-6)(8))/((1)(1) -(-6)(6)) = 31/37 ≈ 0.837_837*
y = ((8)(1)-(-17)(6))/37 = 110/37 ≈ 2.972_972
The closest point is (x, y) = (31/37, 2 36/37).
__
Method 2
We can write the given line in parametric form, then find the point on it such that the direction along the line is perpendicular to the direction to the given point.
Solving the given equation for y, we have ...
y = 8 -6x
So, the parametric form of the given line can be written as ...
(x, y) = (0, 8) +t(1, -6) . . . . for some parameter t
The direction to the given point from (x, y) is then ...
(-5, 2) -(x, y) = (-5, 2) -((0, 8) +t(1, -6)) = (-5-0-t, 2-8+6t) = (-t-5, 6t-6)
The dot-product of this direction vector with the direction vector of the original line will be zero for the value of the parameter at the closest point.
(1, -6) · (-t-5, 6t-6) = 0 = (1)(-t -5) +(-6)(6t -6)
0 = -t -5 -36t +36 = -37t +31
31/37 = t
So, filling this value into the parametric equation gives the closest point as ...
(0, 8) +(31/37)(1, -6) = (31/37, 2 36/37) = (x, y)
__
Method 3
Find the point of tangency of the given line with a circle centered at (-5, 2).
The equation of a circle centered at (-5, 2) is ...
(x +5)^2 +(y -2)^2 = r^2
The given line will meet the circle at a point that satisfies this equation and the equation of the circle. Writing an expression for y using the given line, we can substitute into the circle equation to get ...
(x +5)^ +((8 -6x) -2)^2 = r^2
x^2 +10x +25 +36 -72x +36x^2 = r^2
37x^2 -62x + (some constant) = 0
This will have one solution when the constant is chosen to make the left-side expression a perfect square. That perfect square will be ...
37(x -31/37)^2 = 0
which is to say the tangent point of the line and the circle will have x-coordinate x = 31/37. The y-coordinate is 8 -6(31/37) = 2 36/37.
The closest point is (x, y) = (31/37, 2 36/37).
_____
* repeated decimal fractions are signified in typeset text with an overbar over the repeating digits. In plain text, we sometimes use a preceding underscore to identify the repeating digits.
It takes 2 workers 6 hours to paint a school hall.
How long would it take 4 workers to paint the same hall
Answer:
it will take 3 hour to paint the wall
Answer:
3 hours
Step-by-step explanation:
because we know that 2 x 3 = 6 and 4 x 3 = 12 basically your finding the median. if the number of values is an even number, the median will be the average of the two middle numbers
Sentence: It will take 3 hours for 4 workers to paint the same wall.
Given that NO ML and ML JK, which postulate or theorem can be used to show that all 3 center triangles in the
Antigua and Barbuda flag are similar?
A. ASA similarity theorem
B. SSS similarity theorem
C. SAS similarity theorem
D. AA similarity postulate
Answer:
A
Step-by-step explanation:
Source:
Trust me bro
The theorem used to prove the three triangles are similar is the ASA similarity theorem. The correct option is A.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and the side included between the angles of the second triangle.
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in 1980 Kim was 16 and Anna was 8. When was Kim age four times Anna's age?
Answer:
48 and prob in 1984
Step-by-step explanation:
Which equation best represents the relationship
between x and y in the graph?
FOR BRAINLSIT!!
Answer:
I've never had to deal with this before but I would say C
Answer:
The best option is C ( y=(1/4) x +3)
Write the equation of a circle that has a center of (-2, 1)
and a radius 3.
Answer:
Step-by-step explanation:
(x + 2)^2 + (y -1 )^2 = 3^2
(x + 2)^2 + (y -1)^2 = 9
I have used Desmos to draw this for you. Notice that the center is not (2, -1) but is at -2,1 just as the question requested. The signs are always reversed when the center of a circle must be obtained by squaring the numbers in parenthesis.
Further two points are shown. The one you should pay attention to is (-2,4) which is 3 units away from the center. The other point is also 3 units away, but you have to use the distance formula which you may not be familiar with. If you measure it with a ruler, you will find it is the same distance away from the center as (-2,4) is Since they are equal, they both must represent the length of the radius.
In order to move in to a rental house, Sky and Max must pay a deposit of $1,500. At the end of one year, Sky and Max have spent a total of $11,280 on their rental costs. How much did they pay for their monthly rent payment? a. $750 b. $815 c. $940 d. $1,065 Please select the best answer from the choices provided A B C D
Answer:
It would be B. 815.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
On edge
Based on your knowledge of how to find the volume of prisms, how would you find the volume of a cylinder?
Please help this is due today.
Answer:
[tex]b = 90[/tex]
[tex]c=80[/tex]
[tex]d =100[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find b, c and d
First, we solve for b using:
[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram
Collect like terms
[tex]b + b =180+10-10[/tex]
[tex]2b = 180[/tex]
Solve for b
[tex]b = 180/2[/tex]
[tex]b = 90[/tex]
Then, we have:
[tex]d =b + 10[/tex]
[tex]c = b - 10[/tex] --- opposite angles
So, we have:
[tex]d =90 + 10[/tex]
[tex]d =100[/tex]
[tex]c = 90 - 10[/tex]
[tex]c=80[/tex]
What is a number c decreased by 15?
(Only people who are going to answer the question truly are only allowed to comment)
Answer:
C - 15
Step-by-step explanation:
"Decreased by" means subtraction. We are subtracting 15 from C so the answer is C - 15. Hope this helpssss
Assume that it is equally likely for a child to be born a boy or a girl, and that the Lin family is planning on having three children. List the elements of the event that the Lins have at least one girl. (Use B to represent boy, and G to represent girl. For example, if there are three girls born, it would be represented as GGG).
Answer:
[tex]List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}[/tex]
Step-by-step explanation:
Given
[tex]Children = 3[/tex]
Required
List all cases of having at least 1 girl
We have:
[tex]B = Boy[/tex]
[tex]G = Girl[/tex]
For 1 girl, we have:
GBB; BGB; BBG
For 2 girls, we have:
GGB; BGG; GBG
For 3 girls, we have:
GGG
Hence, the list is:
[tex]List = \{GBB; BGB; BBG; GGB; BGG; GBG; GGG\}[/tex]
Grafting, the uniting of the stem of one plant with the stem or root of another, is widely used commercially to grow the stem of one variety that produces fine fruit on the root system of another variety with a hardy root system. For example, most sweet oranges grow on trees grafted to the root of a sour orange variety. Suppose each graft fails independently withprobability 0.3. Five grafts are scheduled to be performed nextweek. Let X deonte the number of graftes that will fail nextweek.
a. The random variable x is (choose one): binomial, hypergeometric, negative binomial, poisson.
b. Give the sample space and pmf of x.
c. give the expected value and variance of x.
d. Suppose that the cost of each failed graft is $9.00. Find:
i. The probability that the cost from failed grafts will exceed $20.00.
ii. The expected and the variance of the cost from failed grafts.
Step-by-step explanation:
a. The random variable is a binomial distribution.
b. the sample space, X = {0, 1, 2, 3, 4, 5}
the pmf
we solve for this using
nCx * P^x * (1-p)^n-x
n = 5
p = 0.3
for x = 0
5C0 * 0.3⁰(1-0.3)^5-0
= 1 * 1* 0.7⁵
= 0.16807
for x = 1
5C1*0.3¹(1-0.3)^5-1
= 5*0.3(0.7)⁴
= 5x0.3x0.2401
= 0.36015
for x = 2
5C2 * 0.3² * (1-0.3) ^5-2
= 0.30870
for x = 3
5C3 * 0.3³ * (1-0.3) ^ 5-3
= 10 * 0.027 * 0.7²
= 0.1323
for x = 4
5C4 * 0.3⁴ (1-0.3) ^ 5-4
= 5 * 0.0081 * 0.7
= 0.02835
for x = 5
5C5 *0.3⁵ (1- 0.3) ^5-5
= 1*0.00243*0,7⁰
= 0.00243
c. E[X] = N*p = 5*0.3 = 1.5
var[X] = np(1-p) = 5*0.3*0.7 = 1.05
d. 20/9 = 2.222
so we have that if x is greater than or equal to 3, cost will exceed 20
p(x=3) + p(x=4) + p(x=5)
= 0.1323 + 0.02835 + 0.00243
probability = 0.16308
E[C] = 1.5 * 9 = 13.5
VAR[C] = 1.05 * 9 = 9.45
A cylindrical storage tank has a depth of 5 ft and a radius measuring 3 ft. The tank needs to be painted. If 1 pint of paint covers 50 ft2 and you can only purchase full pints of paint, how many pints must be purchased to paint the exterior of the storage tank? (Use your calculator value of . Round your answer up to the nearest whole number.)
Answer:
4 pints
Step-by-step explanation:
Well to figure this one out we need the surface area of the cylinder
The formula is : SA=2πrh+2πr^2
Don't worry about memorizing most of these formula's except the basic ones for Surface area and Volume in a test the formula's will be given but I do recommend practicing them
Any way lets keep going
Depth of 5ft basically means 5ft in height (to let you know)
2*pi*3*5+2*pi*3^2
SA=150.796447372 ft^2 rounded is basically 151
any way we know one pint paints 50 ft^2
so 151/50 is 3 remainder 1 so you will need 4 pints except you will barley use 1 pint
the following data points represent the number of spots on each giraffe that lives in the Curran plains find the median 174,226,236,231,203,185,194,221,197 find the median
The required median number of spots on giraffes in the Curran plains is 203.
What is Median?A data set's median value is the place where 50% of the data points have values that are lower or equal to it, and 50% of the data points have values that are higher or equal to it. To organize the data points in increasing order for a small data set, count the number of data points (n).
According to question:To find the median, we need to first sort the data points in ascending order:
174, 185, 194, 197, 203, 221, 226, 231, 236
Since there are an odd number of data points, the median is the middle value, which in this case is 203.
Therefore, the median number of spots on giraffes in the Curran plains is 203
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How many 3/4 cup servings are in 1/2 cup of yougurt? Simplest fraction form
Answer:
2/3 serving
Step-by-step explanation:
(1/2)/(3/4) = 1/2 x 4/3 = 4/6 = 2/3 serving
look at pic 10 pts will mark brainilest
Answer:
can we go with D. 54 ?
the height and length is 9 and 6
9x6= 54
Answer:
B . 27 square units
Step-by-step explanation:
Area of triangle is 1/2 ×b×h
base is MN = 6 units
hight is 9 unis
so 1/2 ×6×9 = 3×9 =27 square Units
A line passes through the point (12,–4) and is perpendicular to the line with the equation y = 6x + 3. What's the equation of the line?
I'm just gonna so you how I got it
Step-by-step explanation:
6x - 3y - 5 = 0 has slope 6/3 = 2. A perpendicular line will have slope -1/2 (since slopes of two perpendicular lines must have a product of -1), so its general form will be 3x + 6y - a = 0.
Now to find a. We know a point on the line, (4,10), and so we plug those coordinates in:
3*4 + 6*10 - a = 0
12 + 60 - a = 0
72 = a
3x + 6y - 72 = 0.
We can simplify this by dividing all numbers by 3, getting:
x + 2y - 24 = 0
Which is 4 logx- 2 log(x-3) written as a single logarithm?
Answer:it’s C
Step-by-step explanation:
That’s the answer on edge
HE 5 2. Jimmie bought 7/8 pound of candy. He ate 3/8 pound. How much of the candy is left?
Answer:
4/8
Step-by-step explanation:
7/8 - 3/8 = 4/8
At the candy store, Sophie filled a bag with 2 2/3 kilograms of candy. 1/4 of the weight of the candy was from chocolate covered pretzels. How much did the chocolate covered pretzels in Sophie's bag weigh?
Answer:
The chocolate covered pretzels in Sophie's bag weighed [tex]\frac{2}{3} = 0.6667[/tex] kilograms.
Step-by-step explanation:
Sophie filled a bag with 2 2/3 kilograms of candy.
This means that the total weight is of:
[tex]2\frac{2}{3} = 2 + \frac{2}{3} = \frac{6}{3} + \frac{2}{3} = \frac{8}{3}[/tex]
The total weight is of 8/3 kilograms.
1/4 of the weight of the candy was from chocolate covered pretzels. How much did the chocolate covered pretzels in Sophie's bag weigh?
1/4 of 8/3. So
[tex]\frac{1}{4} \times \frac{8}{3} = \frac{1*8}{4*3} = \frac{2}{3} = 0.6667[/tex]
The chocolate covered pretzels in Sophie's bag weighed [tex]\frac{2}{3} = 0.6667[/tex] kilograms.
Hurry plz don't be bots The scale on a map shows that 10 kilometers is represented by 4 centimeters. Which proportion can be used to find
the actual distance, x, represented by 20 centimeters on the map?
10 x
0
4 20
10 20
x
리 8 8
Answer:
10/4=20
Step-by-step explanation:
x=50
Step-by-step explanation:
10/4=x/20
this will give you x=50
Pls help this is timing me!!!!!
Answer:
D
Step-by-step explanation:
In 60 words or fewer, write what you think the term economy means.
Answer:
the structure or conditions of economic life in a country, area, or period also : an economic system.
Step-by-step explanation:
What’s the slope??? Pleas help!!!
Answer:
-1/3
Step-by-step explanation:
Use this equation : slope= y2-y1/x2-x1
T
100. The number of ash trees on a tree farm is 5
times the number of pine trees. Choose one
expression from each column to creae an
equation that compares the number of ash trees
(a) and pine trees (p),
Answer :-
a = 5p
Option 3 from 1st column and option 2 from 2nd column
Find the area of this circle. Use 3 for .
A = ar2
8 in
[?] in?
please help
Answer:
Step-by-step explanation:
The Letter pi (π) = 3.14
The radius (r) = the diameter / 2
The diameter = 8
the radius (r)= d/2 = 8/2 = 4
The Area = 3.14 * 4*4
But they tell you to use 3 and not 3.14.
So the area = 3 * 4 * 4
The area = 48
By the way, if you are interested, the Bible uses 3 for π and not 3.14
Solve the equation. 3 -x+3-2x +2x+5
Answer:
hi
Step-by-step explanation:
hiiii
Antwon gathered data on the ages of 15 randomly-chosen parents of students in his sche
He recorded the data in the table below.
36
32
51
31
30
42
56
32
43
54
26
43
38
43
28
Which is the best prediction that Antwon can make about the ages of the parents of all of the
students at his school?
A
There are not any parents older than 54.
B
Most parents are about 43 years old.
с
The mean age is about 39.
D
At least half the parents are more than 45 years old.
Answer:
You can easily rule out A and D, and the mean is 39 which essentially makes B irrelevant. The answer is C.
Grandma baked 96 cookies and gave them to her grandchildren. One of the grandchildren, Cindy, received
c fewer cookies than she would have received had all of the cookies been evenly divided among the 8
grandchildren.
ining
How many cookies did Cindy receive?
Write your answer as an expression.
Answer:
12-c
Step-by-step explanation:
This is quite simple
We know grandma has made 96 cookies and IF all children 8 receive equal cookies
They would have 12 cookies each
Cindy got c less cookies
so we can say
12-c is what Cindy got
I guess grandma got hungry
Answer:
Step-by-step explanation:
98 = 8 = 12
cindy cookies = 12-c