The question does not clearly specify from which endpoint Q is at 2/3. I'll assume Q is 2/3 away from R.
Answer:
The point Q is (2,3)
Step-by-step explanation:
Take the aligned points R(-2,1), S(4,4), and Q(x,y) in such a way that Q is 2/3 away from R (assumed).
The required point Q must satisfy the relation:
d(RQ) = 2/3 d(RS)
Where d is the distance between two points.
The horizontal and vertical axes also satisfy the same relation:
x(RQ) = 2/3 x(RS)
\(x_R-x_Q=2/3(x_R-x_S)\)
And, similarly:
\(y_R-y_Q=2/3(y_R-y_S)\)
Working on the first condition:
\(-2-x=2/3(-2-4)=2/3(-6)\)
Removing the parentheses:
\(-2-x=-4\)
Adding 2:
\(-x = -2\)
x = 2
Similarly, working with the vertical component:
\(1-y=2/3(1-4)=2/3(-3)\)
Removing the parentheses:
\(1-y=-2\)
Subtracting 1:
\(-y = -3\)
y = 3
The point Q is (2,3)
what is the probability that a randomly chosen number is less than or equal to 90 and is a multiple of 17
Answer:
let's see...
we have total possible outcomes.. = 90 ( from 1 to 90)
Desiree outcomes..= 5 ( 17,34,51,68,85)
and therefore.. the probability is 5/90 = 1/18.
here you go.. that should be correct I hope.
what is the slope of this graph?
Answer:
1
Step-by-step explanation:
between the points you rise up 4 run 4. 4/4=1
I don't need lengthy details I just want the answer
Answer:
Sue rode 1885 miles total
Step-by-step explanation:
There are 31 days in March, 30 in April, and 30 in May.
31 * 12 + 30 * 12 + 30 * 12 = 1092
There are 30 days in June and 31 in august.
30 * 13 + 31 * 13 = 793
Now we find the total:
1092 + 793 = 1885
Subtract 4 from 1/6 of 42 5th grade
Answer:
3
Step-by-step explanation:
subtract 4 from 1/6 of 42. In middle school my traxhers always told me that of menas multiply, and in this situation it still holds. 1/6 x 42 is 42/6 or 42 divided by 6 which is 7. So now that makes this simpler, its saying subtract 4 from 7, so 7-4 =3
Write and solve the expression:
The difference of 27 and 21 times the sum of 17 and 3
Answer:
447
Step-by-step explanation:
number 15! please help!!!!
Answer:
The answer is the second one
Step-by-step explanation:
Dividing the sum of (7/8) (15/4) (1/12) by their multiplication gives _________
The Division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
To find the division of the sum of (7/8), (15/4), and (1/12) by their multiplication, we first need to calculate the sum and multiplication of the given fractions.
The sum of the fractions is:
(7/8) + (15/4) + (1/12)
To add these fractions, we need a common denominator. The least common multiple of 8, 4, and 12 is 24. Let's convert each fraction to have a denominator of 24:
(7/8) = (21/24)
(15/4) = (90/24)
(1/12) = (2/24)
Now we can add the fractions:
(21/24) + (90/24) + (2/24) = (113/24)
The multiplication of the fractions is:
(7/8) * (15/4) * (1/12)
To multiply fractions, we multiply the numerators and denominators:
(7*15*1) / (8*4*12) = (7/96)
Now we can divide the sum of the fractions by their multiplication:
(113/24) / (7/96)
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:
(113/24) * (96/7) = (2712/168)
Therefore, the division of the sum of (7/8), (15/4), and (1/12) by their multiplication is (2712/168).
For more questions on Division .
https://brainly.com/question/30340100
#SPJ8
Invent examples of data with
(a) SS(between) = 0 and SS(within) > 0
(b) SS(between) > 0 and SS(within) = 0
For each example, use three samples, each of size 5.
The sample of given data is Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10
b)Sample 1: 1, 2, 3, 4, 5 Sample 2: 6, 7, 8, 9, 10
(a) An example of data with SS(between) = 0 and SS(within) > 0 could be the following:
Sample 1: 1, 2, 3, 4, 5
Sample 2: 6, 7, 8, 9, 10
Sample 3: 11, 12, 13, 14, 15
In this example, the means of each sample are all different from each other, but the grand mean (8) is equal to the mean of each sample. Therefore, there is no variability between the means of the samples, resulting in SS(between) = 0. However, there is still variability within each sample, resulting in SS(within) > 0.
(b) An example of data with SS(between) > 0 and SS(within) = 0 could be the following:
Sample 1: 1, 2, 3, 4, 5
Sample 2: 6, 7, 8, 9, 10
Sample 3: 11, 12, 13, 14, 15
In this example, the means of each sample are all the same (8), but the values within each sample are all different from each other. Therefore, there is variability between the means of the samples, resulting in SS(between) > 0. However, there is no variability within each sample, resulting in SS(within) = 0.
To know more about sample Visit:
https://brainly.com/question/28196409
#SPJ1
What is the result of performing these steps?
1. Draw a line segment with endpoints A and B. 2. Draw point Canywhere
above AB
3. Fold the paper through C so AB lies on top of itself.
4. Fold the paper through C so that the fold line from Step 3 lies on top of
itself.
5. Draw a line segment from C to any point along the second fold.
answer choices:
A. The perpendicular bisector of AB
B. A line segment perpendicular to AB
C. A line segment parallel to AB
D. A bisected angle
Ivan is going to invest to help with a down payment on a home. How much would he have to invest to have $46,900 after 10 years, assuming an interest rate of 1.62% compounded quarterly?
Do not round any intermediate computations, and round your final answer to the nearest dollar.
Answer:
$25705.38
Step-by-step explanation:
$46,900/ ?= 46,900/1*1.62^4 *10 = 46,900/68.8747536 *100 = 68094.6175 = $68094.62 we can deduct to see how much he saves instead say compared to approx monthly rental $800 -$1000 = $68094.62 -$46,900 =$21,194.62 over 10 years because investment is cheaper than rental as $21,194.62 /10 =$2119.462 yearly =2119.462/12 monthly =£176.621833 and even if rental if say was as low as $600 it is still more than 200% cheaper to invest. however this question suggests compound of savings before purchase. It is same indifference of interest so we deduct again....$46,900 -$21,194.62 =$25705.38= 68094.6175-46,900 =21194.6175 and 46,900-21194.6175 =25705.3825
Find the value of X.
The calculated value of x in the circle is 15
How to calculate the value of xFrom the question, we have the following parameters that can be used in our computation:
The circle and the tangent lines
The sum of angles on the circumference of a circle is 360 degrees
So, the value of x can be calculated using
17x + (180 - 75) = 360
When evaluated, we have
17x = 255
Divide both sides by 17
x = 15
Hence, the value of x is 15
Read more about angles at
https://brainly.com/question/25716982
#SPJ1
What are the ordered pairs of the solutions for this system of equations? y=x^2-8 and y=2x
Answer:
4, 8) and (-2, -4)
Step-by-step explanation:
y = x² - 8 and y = 2x .
Substitute y = 2x into the first equation.
2x = x² - 8
0 = x² - 2x - 8 Add -2x to both sides.
0 = ( x - 4)(x + 2) Factor
0 = x - 4 ; 0 = x + 2
x = 4 ; x = - 2
Solve y = 2x when x = 4 solve y = 2x when x = -2
y = 2(4) y = 2(-2)
y = 8 y = -4
(4, 8) and (-2, -4)
Question
A card is drawn from a standard deck of 52 cards and then placed back into the deck. Find the probability that a red card is
drawn at least once by the third draw. Round your answer to two decimal places.
Provide your answer below:
The probability that a red card is drawn at least once by the third draw is 0.88.
What is probability?
The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.
Let, a card is drawn from a standard deck of 52 cards and then placed back into the deck.
In a standard 52 card deck the red cards are 26.
So,
P(red) = n(red cards) / n(total cards)
= 26 / 52
P(red) = 0.50
Now, X ≈ Bin (n = 3, P = 0.50)
P(X = x) = (n x) p^x (1 - p)^n-x
(n x) = \(\frac{n!}{x!(n-x)!}\)
P(X ≥ 1) = 1 - P(X < 1)
= 1 - P(X = 0)
= 1- (3 0)(0.5)^0(0.5)^3
= 1 - 0.125
= 0.875
P(X ≥ 1) = 0.88
Hence, the probability that a red card is drawn at least once by the third draw is 0.88.
To know more about the probability, click on the link
https://brainly.com/question/24756209
#SPJ1
If Earths rotation on its axis takes 24 hours in in many minutes does it take to rotate in one week? (1 hour=60 minutes)
Answer:
420
Step-by-step explanation:
im not sure i just multiply 60×7
A right circular cone is intersected by a plane that passes through the cone's
vertex and is perpendicular to its base, as in the picture below. What is
produced from this intersection?
OA. A pair of parallel lines
B. A single line
OC. A point
OD. A pair of intersecting lines
Answer:
D. A pair of intersecting lines
Step-by-step explanation:
A conic section is a fancy name for a curve that you get when you slice a double cone with a plane. Imagine you have two ice cream cones stuck together at the tips, and you cut them with a knife. Depending on how you cut them, you can get different shapes. These shapes are called conic sections, and they include circles, ellipses, parabolas and hyperbolas. If you cut them right at the tip, you get a point. If you cut them slightly above the tip, you get a line. If you cut them at an angle, you get two lines that cross each other. That's what happened in your question. The plane cut the cone at an angle, so the curve is two intersecting lines. That means the correct answer is D. A pair of intersecting lines.
I hope this helps you ace your math question.
A direct mail appeal for contributions from a university’s alumni and supporters is considered to be too costly if less than 13% of the alumni and supporters provide monetary contributions. To determine if a direct mail appeal is cost effective, the fundraising director sends the direct mail brochures to a simple random sample of 204 people on the alumni and supporters mailing lists. They receive monetary contributions from 19 people. Does this evidence demonstrate that the direct mail campaign is not cost effective? Use a 0.02 level of significance. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. H0Ha: p=0.13: p⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯0.13
The null hypothesis (H0) is that the proportion of alumni and supporters who provide monetary contributions is equal to or greater than 13%.
The alternative hypothesis (Ha) is that the proportion of alumni and supporters who provide monetary contributions is less than 13%.
What is a statistical hypothesis?A statistical hypothesis is usually formulated to test whether there is a significant difference or relationship between two or more variables.
There are two types of statistical hypotheses:
Null hypotheses, which assume that there is no significant difference or relationship between variables
Alternative hypotheses: these assume that there is a significant difference or relationship between variables.
We have,
From the situation given we can create the null and the alternative hypothesis as,
The null hypothesis (H0) is that the proportion of alumni and supporters who provide monetary contributions is equal to or greater than 13%.
i.e
(p ≥ 0.13).
The alternative hypothesis (Ha) is that the proportion of alumni and supporters who provide monetary contributions is less than 13%.
i.e
(p < 0.13)
Now,
Mathematically,
H0: p ≥ 0.13
Ha: p < 0.13
Where p represents the true proportion of alumni and supporters who provide monetary contributions.
Thus,
The null hypothesis (H0) is that the proportion of alumni and supporters who provide monetary contributions is equal to or greater than 13%.
The alternative hypothesis (Ha) is that the proportion of alumni and supporters who provide monetary contributions is less than 13%.
Learn more about statistical hypotheses here:
https://brainly.com/question/27335001
#SPJ9
A fraternity charge $2.00 admission for dudes and $1.00 admission for ladies. They made $45 and sold 35 tickets how many ladies attended the party
After solving the equations, we know that a total of 25 ladies attended the party.
What are equations?A mathematical statement that has an "equal to" symbol between two expressions with equal values is called an equation.
As in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, and others.
So, take dudes as x and ladies as y.
Now, form the required 2 equations as follows:
2x + y = 45 ...(1)
x + y = 35 ...(2)
Work on equation (2):
x + y = 35
x = 35 - y
Now, substitute x = 35 - y in equation (1):
2x + y = 45
2(35-y) + y = 45
70 - 2y + y = 45
-y = -25
y = 25
Since ladies were charged $1 for each ticket, then 25 ladies attended the party.
Therefore, after solving the equations, we know that a total of 25 ladies attended the party.
Know more about equations here:
https://brainly.com/question/28937794
#SPJ1
Plz help me well mark brainliest if correct!!
Answer:
D
Step-by-step explanation:
Just go the opposite moves.
2 north, 3 west, 4 south.
North and south are the y, or second coordinate, and west is x, the first coordinate.
you end up with (2, 4), or D
John is skiing on a mountain with an altitude of 1200 feet. The angle of depression is 21° About how far does John ski down the mountain?
freè pôints
for you you you etc.
Answer:
askfjheifljblgjsljclakjksfjkljvkldskmjfmvalkgjbjdfkblrgjlskgskjd
Step-by-step explanation:
levjnlakqdhlwjfidfkjblksmnewkfdilbkmcjjeoibjkdl
Find the probability of winning a lottery with the following rule. Select the winning numbers from 1, 2, . . . ,34 . (In any order. No repeats.)
Complete Question
Find the probability of winning a lottery with the following rule. Select the six winning numbers from 1, 2, . . . ,34 . (In any order. No repeats.)
Answer:
The probability is \(P(winning ) = 7.435 *10^{-7}\)
Step-by-step explanation:
From the question we are told that
The total winning numbers n = 34
The total number to select is r = 6
The total outcome of lottery is mathematically represented as
\(t_{outcome}) = \left n } \atop {}} \right. C_r\)
\(t_{outcome}) = \frac{n! }{(n-r )! r!}\)
substituting values
\(t_{outcome}) = \frac{ 34 ! }{(34 - 6 )! 6!}\)
\(t_{outcome}) = \frac{ 34 ! }{28 ! 6!}\)
\(t_{outcome}) =1344904\)
The number of desired outcome is
\(t_{desired} = 1\)
this is because the desired outcome is choosing the six winning number
The probability of winning a lottery is mathematically represented as
\(P(winning ) = \frac{t_{desired}}{t_{outcome}}\)
substituting values
\(P(winning ) = \frac{1}{1344904 }\)
\(P(winning ) = 7.435 *10^{-7}\)
I need help. Is this right????
Answer: (I can only see stage 1 and 2 fully) Stage 1: 2 Stage 2: 4
Step-by-step explanation:
Answer:
Step-by-step explanation:
0 = 0
1 = 2
2 = 4
3 = 6
20 = 40
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
Answer:
83 kids total
Step-by-step explanation:
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
girls = 54
boys = 54 - 25 = 29
54 + 29 = 83 kids total
kids that are on the playground are 83.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The total number of girls that are present is 54
The data given is that there are
25 fewer boys taht are4 present
The total number of boys will be
boys = 54 - 25 = 29
The number of kids that are present will be the total of boys and girls that are present.
Kids = boys + girls
54 + 29 = 83 kids total
The quantity of kids that are present in the playground is 83.
Learn more about sum, here:
https://brainly.com/question/537797
#SPJ2
what is 3/2 (7/3n +1)= 3/2
growth of a particular type of plant. He is testing the effects of four growth factors: lighting, age, temperature, and humidity. Here are the levels he's testing for each
The level of each growth factor is an illustration of a combination
There are 90 ways of combining one level from each growth factors
How to determine the number of combinations?From the complete question (see attachment), we have the number of levels in each growth factor is:
Lighting = 3
Age = 5
Temperature = 2
Humidity = 3
So, the number of combination (n) is:
n = 3 * 5 * 2 * 3
n = 90
Hence, there are 90 ways of combining one level from each growth factor.
Read more about combination at:
brainly.com/question/11732255
#SPJ1
Jason is buying wings and hot dogs for a party. One package of wings costs $7. Hot dogs cost $5 per package. He must spend no more than $40. Write and inequality to represent the cost of Jason’s food for the party. Jason knows that he will be buying at least 5 packages of hot dogs. Write an inequality to represent this situation. Graph both inequalities. Give two options for Jason when buying wings and hot dogs.
An inequality to represent the cost of Jason’s food for the party is
An inequality to represent this situation "Jason knows that he will be buying at least 5 packages of hot dogs" is
The two options for buying wings and hot dogs include the following:
One (1) package of wings and five (5) packages of hot dogs.Two (2) packages of wings and five (5) packages of hot dogs.How to write the required system of linear inequalities?In order to write a system of linear inequalities to describe this situation, we would assign variables to the number of packages of hot dogs and number of packages of wings respectively, and then translate the word problem into algebraic equation as follows:
Let the variable x represent the number of packages of wings.Let the variable y represent the number of packages of hot dogs.Since one package of wings costs $7 and Hot dogs cost $5 per package, and he must spend no more than $40, a linear inequality which represents this situation is given by;
7x + 5y ≤ 40
Additionally, since Jason knew he would buy at least 5 packages of hot dogs, a linear inequality which represents this situation is given by;
y ≥ 5
Next, we would use an online graphing calculator to plot the above system of linear inequalities as shown in the graph attached below.
Read more on inequality here: brainly.com/question/29115398
#SPJ1
Make a conjecture about the product of two odd numbers.
The conjectures can be the product of two odd numbers is always an odd number and product of two odd numbers is always greater than either of them.
It is given that a number is product of two odd numbers.
We have to make a conjecture about it.
What do you mean by a conjecture ?
A conjecture is a conclusion which is believed to be true but hasn't been proved or disproved yet.
As per the question ;
We need to make a conjecture about product of two odd numbers.
The two conjectures can be ;
(1) The product of two odd numbers is always an odd number.
i.e.,
Let's assume the numbers are 21 and 27.
The product of these two numbers will be ;
= 21 × 27
= 567
So , 567 is an odd number.
2) The product of two odd numbers is always greater than either of them.
i.e.,
Let's assume numbers are 13 and 15.
The product will be ;
= 13 × 15
= 195
is greater than both of 13 and 15.
Thus , the conjectures can be the product of two odd numbers is always an odd number and product of two odd numbers is always greater than either of them.
To learn more about conjectures click here ;
https://brainly.com/question/28237702
#SPJ2
B. What is each piece measurement if the angle is cut into 9 equal
lengths? Kerf width is 0.125.
Each piece Measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
When a particular angle is cut into nine equal parts, the measure of each piece needs to be calculated.
Therefore, it is essential to first calculate the total angle measure and then divide it by the number of parts into which it is being cut.
What is an Angle?
An angle is a geometrical shape that consists of two rays sharing a common endpoint. The common endpoint is known as the vertex, and the two rays are known as the arms of the angle. An angle can be measured in degrees, radians, or gradians. Degrees are the most commonly used unit of measuring angles.How to Calculate Each Piece Measurement of an Angle if Cut into 9 Equal Lengths
To determine each piece measurement of an angle if cut into nine equal lengths, we will need to carry out the following steps:
Step 1: Calculate the total angle measure Suppose the angle being cut into nine equal lengths is an obtuse angle measuring 120 degrees. In that case, the total angle measure will be 120 degrees.
Step 2: Divide the total angle measure by the number of parts into which it is being cut.120 degrees ÷ 9 = 13.3333 degrees
Step 3: Add the kerf width to the piece measurements.0.125 x 9 = 1.125 degrees13.3333 + 1.125 = 14.4583 degrees
Therefore, each piece measurement of an angle of 120 degrees cut into nine equal lengths with a kerf width of 0.125 would be 14.4583 degrees.
For more questions on Measurement .
https://brainly.com/question/27233632
#SPJ8
In the following equation y = 2x + 3, what value represents the growth?
Group of answer choices
Answer:
isn't it 2x?
Step-by-step explanation:
Complete the area model to describe how to divide 370 by 5.
Enter your answers in the boxes.
Answer: The first box in the model is 60. The box above it is 300. The box above 20 is 70. The answer is 74.
Step-by-step explanation: Self-explanatory.