In a direct variation, the values of x and y are related by the next equation,
y = kx
which means that
k = y/x
In this case,
11.25/2.5 = 4.5
22.5/5 = 4.5
67.5/15 = 4.5
78.75/17.5 = 4.5
Then, the equation that relates x and y is
y = 4.5x
Twelve friends play a game that as 308 cards. Each player receives 16 cards. How many cards are left?
Your answer is :116 cards left
Have a good day
△ARE ≅ △____ by ____
Complete each congruency statement, and name the rule used.
If you cannot show the triangles are congruent from the given
information, leave the triangle's name blank and write CNBD
for "CanNot Be Determined" in place of the rule.
ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency
How to explain the congruency?When all three corresponding sides and all three corresponding angles are equal in size, triangles are said to be congruent. These triangles can be turned, flipped, rotated, and slid to create an identical appearance.
Segment TN is congruent to segment EL
Segment TA is congruent to segment EF
Segment AN is congruent to segment FL
The Side-Side-Side (SSS) rule of congruency states that triangle ANT is congruent to triangle FLE.
The Side-Side-Side (SSS) rule of congruency is one of the rules used to demonstrate that two or more triangles are congruent.
Learn more about triangles on
https://brainly.com/question/17335144
#SPJ1
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. ∆ANT ≅ ∆_____ by _____
The product of Chrissy's height and 3 is 57.
Use the variable c to represent Chrissy's height.
According to the CDC, only 20% of Americans get enough exercise each week. You conduct a survey of 200 people.
a. What is the probability that 45 or more people in your survey get enough exercise? Use a normal approximation for p hat
b. Find the exact binomial probability that 45 or more people in your survey get enough exercise.
The exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.
What is mean?The mean (also called the arithmetic mean or average) is a measure of central tendency that represents the typical or average value of a set of data. The mean is calculated by summing up all the values in the data set and dividing by the number of values.
According to question:a. To calculate the probability that 45 or more people in the survey get enough exercise using a normal approximation for p hat, we need to first find the mean and standard deviation of the sample proportion.
The mean of the sample proportion is:
μ = p = 0.20
The sample proportion's standard deviation is:
σ = √[(p(1-p))/n] = √[(0.20)(0.80)/200] = 0.034
Using the normal distribution with a continuity correction, we can find the probability of 45 or more people getting enough exercise:
z = (45 - 0.20200 + 0.5) / √(0.200.80*200) = 1.24
P(Z > 1.24) = 0.1082
Therefore, the probability that 45 or more people in the survey get enough exercise is approximately 0.1082.
b. To find the exact binomial probability that 45 or more people in the survey get enough exercise, we can use the binomial cumulative distribution function (CDF) with n = 200 and p = 0.20:
P(X ≥ 45) = 1 - P(X < 45) = 1 - binomcdf(200, 0.20, 44) = 0.0853
Therefore, the exact binomial probability that 45 or more people in the survey get enough exercise is 0.0853.
To know more about mean visit:
https://brainly.com/question/23631778
#SPJ1
Work out the area of this circle.
Give your answer in terms of and state its units.
TC
14 cm
Answer:
49pi cm^2
Step-by-step explanation:
The area of a circle is pi(r)^2
To find our radius, we need to divide the diameter by 2.
14 / 2 = 7
Lets plug that into our equation:
pi(7)^2
Simplify:
pi(49)
rearrange:
49pi
WAIT, we need units!
49pi cm^2
~~~Harsha~~~
What is the effective annual rate for an APR of 10.60 percent compounded quarterly?
Answer:
The effective annual rate is 11.03%
Step-by-step explanation:
The effective interest rate is calculated through the formula:
\(r = (1 + i/n)^n - 1\)
In this formula, r represents the effective interest rate, i represents the stated interest rate or APR, and n represents the number of compounding periods per year.
For a quarterly compounded interest, n=4. The APR i=10.60%=0.106
Given an APR r, the effective annual rate for a quarterly compound is:
\(r = (1 + 0.106/4)^4 - 1=1.0265^4-1\)
\(r=1.11029-1=0.1103\)
The effective annual rate is 11.03%
Please help me solve!
1. The probability of selecting a 3 of Diamonds is 1/52.
2. The probability of selecting a Club or Diamond is 1/2.
3. The probability of selecting a number smaller than 9 is 9/13.
1. The probability of selecting a 3 of Diamonds:
There is only one 3 of Diamonds in the deck, and the total number of cards in the deck is 52. Therefore, the probability of selecting a 3 of Diamonds is 1/52.
2. The probability of selecting a Club or Diamond:
There are 13 Clubs and 13 Diamonds in the deck, making a total of 26 cards. The probability of selecting a Club or Diamond is the ratio of the number of favorable outcomes (Club or Diamond) to the total number of possible outcomes (52 cards). Therefore, the probability is 26/52, which simplifies to 1/2.
3. The probability of selecting a number smaller than 9:
There are four suits in the deck (Clubs, Diamonds, Hearts, and Spades), and each suit has cards numbered 2 to 10. So, there are 4 suits * 9 cards per suit = 36 cards that are numbered smaller than 9.
The probability of selecting a number smaller than 9 is the ratio of the number of favorable outcomes (36 cards) to the total number of possible outcomes (52 cards). Therefore, the probability is 36/52, which simplifies to 9/13.
For more such questions on probability visit:
https://brainly.com/question/23286309
#SPJ8
Can u please help me with 3&4 I’m giving 20 point please help me
Answer:
Step-by-step explanation:
Please help me.I really need help. Point D is a point on circle C with diameter, segment AB as shown. If AC = 6.5 in, and BD= 5 in, find AD.
The calculated length AD in the circle is 13.92
Finding the length AD in the circleFrom the question, we have the following parameters that can be used in our computation:
The circle
The measure of angle in a semicircle is 90 degrees
This means that the triangle is right-angled
The length AD of the right triangle can be calculated using the following Pythagoras theorem
AD² = sum of squares of the legs
Using the above as a guide, we have the following:
AD² = (2 * 6.5)² + (5)²
Evaluate
AD² = 194
Take the square roots
AD = 13.92
Hence, the length AD is 13.92
Read more about circle at
https://brainly.com/question/32192505
#SPJ1
QUESTION 4 PATTERNS, FUNCTIONS AND ALGEBRA 1. Given 6x³-8x³+2+9x7-4x a. How many terms are there in the polynomial? State the degree of the polynomial c. Determine the value of the polynomial if x=-1 b.
Answers:
a) There are 5 termsb) Degree = 7c) The value is -1==========================================
Explanation:
a) Each term is separated by a plus or a minus.b) The degree is equal to the largest exponent. This applies to single variable polynomials only.c) Replace each x with -1. Then use the order of operations PEMDAS to simplify. You should get -1 as the answer. Use a calculator to confirm. It is a coincidence that we have the same input and output. This will not always happen with any general polynomial function.specify the number of significant figures in each of the following numbers and determine the result of the following calculation to the correct number of significant figures. 3.115 0.2281 712.5 45
The result of the calculation is 680.
The number 3.115 has four significant figures, the number 0.2281 has four significant figures, the number 712.5 has three significant figures and the number 45 has two significant figures. This means that when performing calculations with these numbers, the answer must be rounded to the least number of significant figures, which is two.
The calculation is 3.115 + 0.2281 + 712.5 - 45. Using the rules of significant figures, we can calculate this as 3.1 + 0.2 + 713 - 45.
The result of the calculation is 675.3 and this must be rounded to the least number of significant figures, which is two. Therefore, the result of the calculation is 680.
Learn more about significant figures here:
https://brainly.com/question/29153641
#SPJ4
Torah says he made to the development of Judaism.
Jewish Leader Action as Leader Contribution to Judaism
Abraham Start typing here..
Moses
David
Solomon
The development made to the Judaism is mentioned below;
Action as Leader;
Abraham;
Abraham's care for others is one of his leadership strengths. Abraham expressed his sorrow for Sodom and Gomorrah when the Lord informed him that they would be destroyed. He "stick his neck out for his people," as one who cares for others. He pleaded with God on their behalf.
Moses;
Early on, Moses realized he didn't have to handle everything by himself. He eventually succeeded as a leader by using delegation.
David;
As a man of God, David had learned to wait on the Lord, but he also had to learn how to be patient with those around him.
Solomon;
His name in Hebrew means peace and he used his wisdom to bring about peace in the world through deeds rather than conquest.
Contribution to Judaism
Abraham;
Before Abraham, people believed in multiple gods; Abraham was the first to preach that there is only one God. Ironically, Terach, Abraham's father, had made a fortune by selling idols of several deities.
Moses;
The Jews were delivered from slavery in Egypt by Moses, who also guided them to the Holy Land that God had promised.
David;
Many of the Old Testament Psalms are attributed to him; they were probably penned on his renowned lyre, upon which he was reputed to be a master.
Solomon;
As the Israelite monarch who constructed the first Temple in Jerusalem, Solomon is well-known. He was also the second and final king of a united Israel, which was at the height of its power during his rule (after his father, David).
Learn more about development of Judaism here;
https://brainly.com/question/13960265
#SPJ4
An international company has 26,700 employees in one country. If this represents 34.2% of the company's employees, how many employees does it have in total? Round your answer to the nearest whole number.
Answer:
the answer
Step-by-step explanation:
none lol :))))))
A rancher has 200 feet of fencing to enclose two adjacent rectangular corrals. What dimensions should
be used so that the enclosed area will be a maximum?
Length is 33.33 feet and width is 25 feet are dimensions should
be used so that the enclosed area will be a maximum.
What is Area of Rectangle?The area of Rectangle is length times of width
Given that, a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions.
Here, the dimensions of the rectangles are the same.
The width of the two rectangles is W=2W+2W=4W
The length of the two rectangles is L=L+L+L=3L
Because the adjacent side has a common length.
3L+4W=200
3L=200-4W
Divide both sides by 3
L=(200-4W)/3
Let us form an equation using the area of rectangle formula:
A=2LW
=2(200-4W)/3.W
A=400-8W²/3
Let us differentiate to get the area to be maximized dA/dW=0
1/3×(400-8W²)=0
1/3(400-16W)=0
400-16W=0
400=16W
Divide both sides by 16
W=25
The width is 25 feet.
Substitute W value in equation to get L value:
L=200-4×25/3
=200-100/3
=100/3
=33.33
The length is 33.33 feet.
Now let us find the maximum area
A=2LW
=2×33.33×25
=1666.66
Hence, length is 33.33 feet and width is 25 feet are dimensions should
be used so that the enclosed area will be a maximum.
To learn more on Rectangle click:
https://brainly.com/question/20693059
#SPJ1
work out the area of the circle
take pi to be 3.142 give your answer to 1 decimal place
radius 8
The area of the circle with the given radius is 201.088 square units.
What is area of a circle?The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
Given that, the radius of a circle is 8 units.
Here, area of a circle
= 3.142×8²
= 3.142×64
= 201.088 square units
Therefore, the area of the circle is 201.088 square units.
Learn more about the area of a circle here:
brainly.com/question/28642423.
#SPJ9
Josh and Adelina are staff members for a political candidate. They are considering hiring callers who will call voters and ask for donations. (picture below)
a) only adelina's
b) only josh's
c) both statements are correct
d) neither statements are correct
Answer:
Adelina
Step-by-step explanation:
Are the ray AB and BA the same? if yes why and if no why
Answer:
No,the ray AB and BA are not same because the ray AB denotes the ray(light) is coming from the direction through A while the ray BA denotes the ray is coming from the direction through B.
Answer the photo please and do my other ones
Answer:
C
Step-by-step explanation:
If you were to put the number of turkey out in order from least to greatest, the median is 12. Doing the same thing to the ham, the median is 9.
Subtracting Turkey (12) from Ham (9) your answer is C, or 3.
A nine-month old baby drank an average of 7 1/4 oz during each of four feedings. If the baby drank 7 1/2oz, 7 3/8oz, & 6 3/8oz in the first three feedings, how many ounces were taken during the fourth feeding?
A) 7 3/8
B) 6 3/8
C) 6 3/4
D) 7 3/4
Show work please
Answer: D) 7 3/4
Step-by-step explanation:
With averages, we add all the values and divide by the number of values. Here, we know three out of the four days, let's label the day we don't know x. There are four days, so we can divide by four. 7 1/4 is the average, so we can set the equation equal to 7 1/4.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x) / 4
Let's multiply both sides by 4 to get rid of the fraction. Let's also add what is in the parentheses
29 = 21 1/4 + x
Now we can isolate x by subtracting 29-21 1/4
so
x = 7 3/4 thus the answer is D
Answer:
D) 7 3/4
Step-by-step explanation:
Let x = amount of last feeding.
7 1/4 = (7 1/2 + 7 3/8 + 6 3/8 + x)/4
4 × 7 1/4 = 7 1/2 + 7 3/8 + 6 3/8 + x
28 + 1 = 7 4/8 + 7 3/8 + 6 3/8 + x
29 = 20 10/8 + x
(20 10/8 is the same as 20 + 10/8 = 20 + 8/8 + 2/8 = 20 + 1 + 1/4 = 21 + 1/4 = 21 1/4)
29 = 21 2/8 + x
29 = 21 1/4 + x
x = 29 - 21 1/4
x = 28 4/4 - 21 1/4
x = 7 3/4
Answer: 7 3/4
Of the 50 students Bryson surveyed, 15 are twelve years old, 20 are thirteen years old, and 15 are fourteen years old. If there are approximately 600 students at King Middle School, what is the best estimate of the proportion of students who are twelve, thirteen, and fourteen years old?
Answer:
Step-by-step explanation:
If 15 out of 50 students are twelve years old, we can estimate the proportion of twelve-year-olds in the whole school as follows:
Proportion of twelve-year-olds = 15/50
Simplifying this fraction by dividing both numerator and denominator by 5, we get:
Proportion of twelve-year-olds = 3/10
Similarly, if 20 out of 50 students are thirteen years old, we can estimate the proportion of thirteen-year-olds in the whole school as:
Proportion of thirteen-year-olds = 20/50
Simplifying this fraction by dividing both numerator and denominator by 10, we get:
Proportion of thirteen-year-olds = 2/5
Finally, if 15 out of 50 students are fourteen years old, we can estimate the proportion of fourteen-year-olds in the whole school as:
Proportion of fourteen-year-olds = 15/50
Simplifying this fraction by dividing both numerator and denominator by 5, we get:
Proportion of fourteen-year-olds = 3/10
Therefore, the best estimate of the proportion of students who are twelve, thirteen, and fourteen years old in the school, respectively, is:
3/10 are twelve years old
2/5 are thirteen years old
3/10 are fourteen years old
how do i know which one?
The inequality value that would be able to show/x/ ≤ 5 is option A
What is inequality?
In mathematics, inequality refers to a mathematical statement that expresses a relationship between two quantities, indicating that one quantity is greater than, less than, or not equal to the other.
The symbol that we have is telling us that the value of the x would be less than or it would be seen to be equal to five.
We can see that /x/ ≤ 5 would exclude the negative values and this can be seen in the option that is marked option A
Learn more about inequality:https://brainly.com/question/20383699
#SPJ1
When does a negative exponent not move the base to the denominator
Answer:
If the base and the negative exponent is in the denominator already
Step-by-step explanation:
Normally, a base with a negative exponent moves to the denominator.
Example: (2^-3 = 1 / (2)^3 = 1/8)
However, if the base and the negative exponent is already in the denominator, the base would move to the numerator and the exponent would become positive.
Example: 2 / (3)^-3 = 2 * 3^3 = 2 * 27 = 54
Write 762.238 correct to 2 decimal places
Answer:
762.24
Step-by-step explanation:
Rounded to the hundredth place
on Monday, 490 students went on a trip to the zoo. all 9 bosses were filled and 4 students had to travel in cars. How many students were in each bus?
Answer:
54 students n each bus
Step-by-step explanation:
I hope Im right
In a sample of 1100 U.S. adults, 203 think that most celebrities are good role models. U.S. adults are selected from this sample without replacement. Complete parts (a) through (c). (a) Find the probability that both adults think most celebrities are good role models. The probability that both adults think most celebrities are good role models is nothing. (Round to three decimal places as needed.) (b) Find the probability that neither adult thinks most celebrities are good role models. The probability that neither adult thinks most celebrities are good role models is nothing. (Round to three decimal places as needed.) (c) Find the probability that at least one of the two adults thinks most celebrities are good role models. The probability that at least one of the two adults thinks most celebrities are good role models is nothing. (Round to three decimal places as needed.)
Using the hypergeometric distribution, the probabilities are given as follows:
a) 0.034 = 3.4%.
b) 0.665 = 66.5%.
c) 0.3352 = 33.5%.
What is the hypergeometric distribution formula?The formula is:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(C_{n,x} = \frac{n!}{x!(n-x)!}\)
The parameters are:
x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.For this problem, the parameters are given as follows:
N = 1100, k = 203, n = 2.
In item a, the probability is P(X = 2), hence:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 2) = h(2,1100,2,203) = \frac{C_{203,2}C_{897,0}}{C_{1100,2}} = 0.034\)
For item b, the probability is P(X = 0), hence:
\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)
\(P(X = 0) = h(0,1100,2,203) = \frac{C_{203,0}C_{897,2}}{C_{1100,2}} = 0.665\)
For item c, the probability is:
P(X >= 0) = 1 - P(X = 0) = 1 - 0.665 = 0.335.
More can be learned about the hypergeometric distribution at https://brainly.com/question/24826394
#SPJ1
find X and Y X - 3 y + 3 15 12
To solve this problem we have to remember that diagonals of a parallelogram bisect each other. This means that they intersect in the midle point of each other. From this we can conclude that
\(\begin{gathered} x-3=15 \\ \text{and} \\ y+3=12 \end{gathered}\)Once we have our equations we can solve them. Let's find x
\(\begin{gathered} x-3=15 \\ x=15+3 \\ x=18 \end{gathered}\)Now, let's find y
\(\begin{gathered} y+3=12 \\ y=12-3 \\ y=9 \end{gathered}\)Then x=18 and y=9,
WILLL GIVE ALL MY POINT PLUS MARK BRAILIEST PLS HELP ASAP TY <3
Answer:
The unknown integer that solves the equation is 6.
Step-by-step explanation:
In order to find the missing number, we can set up an equation as if we are solving for x.
x + (-8) = -2
Add 8 on both sides of the equation.
x = 6
So, the unknown integer is 6.
Answer:
6
Step-by-step explanation:
6 plus -8 is -2
Which values of a, b, and c represent the answer in simplest form?
7/9 * 4/9 = a b/c
Answer:
Option 2: A=1, B=3, C=4
Step-by-step explanation:
7/9÷4/9 = 7/9*9/4cancel 9 on each side=7/4= 1 3/4Which of the following describes the transformation from Figure 1 to Figure 2?
Answer:
Reflection over the Y axis
Step-by-step explanation:
I got it right on imagine math.
The transformation rule is given as the reflection over y-axis.The correct option is (C).
How to transform a graph of the function?The graph of a function can be transformed by either shifting it in the right, left, up or down.
When the transformation is rightwards, the function becomes as f(x - a).
For left shifting it is f(x + a).
Take any coordinate to describe the transformation.
For point E and E' the coordinates are given as (-5, 3) and (5, 3).
Since, y coordinate is the same while the sign of x coordinate has changed.
Point E' is the reflection of E across y-axis.
Hence, the required transformation for the given graph is reflection over y-axis.
To know more about transformation of graph click on,
https://brainly.com/question/10059147
#SPJ2
Find the constant rate of change for each linear function and interpret its meaning
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}\)