Data:
• Red (R): 35
,• Yellow (Y): 39
,• He gives away (G): 18
,• Total final counters (T): unknown
Procedure:
\(\begin{gathered} T=R+Y-G \\ T=35+39-18 \\ T=74-18 \\ T=56 \end{gathered}\)Answer: Robb has left 56 total counters.
66 2/3% of what number is 36?
Answer:
54
Step-by-step explanation:
66 2/3 % is 2/3 of 100, so (36/2)*3=54
Use the two-way table to answer the question.
A student surveys classmates to find out if they prefer muffins or cookies with or without nuts. The table summarizes the responses of the survey.
Part B
If a student prefers nuts, what is the approximate probability the student also prefers muffins?
O 11%
O 18%
O 31%
O 46%
Answer:
A.) 11%
Step-by-step explanation:
Step 1) There are 9 favorable outcomes but only 1 outcome is possible, so that leaves us with a fraction of: \(\frac{1}{9}\)
Step 2) Then we need to turn this into a decimal to find the percentage:
1 ÷ 9 = 0.111111111...
Step 3) We now need to turn this into a percent:
0.11 x 100% = 11%
The expression √5x is equivalent to the expression x√5.
O A. True
OB. False
Answer: False
Step-by-step explanation:
\(\sqrt{5x}=\sqrt{x} \sqrt{5} \neq x\sqrt{5}\)
if two points are in a plane, then the line that contains them is
Answer:
...then the line containing them lies in the plane. If two planes intersect, then their intersection is a line.
Step-by-step explanation:
How do you solve for incenter?
The approach for solving for incenter.
Incenter:
The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle.
It can also be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.
Formula for solving incenter:
Let (x1,y1) , (x2,y2) and (x3,y3) are three points of triangle.
and a,b,c are lengths of sides.
I = ((ax1+bx2+x3 / a+b+c , ay1+by2+cy3 / a+b+c))
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A mail carrier can deliver mail to 1,400 different homes in one day. In the city of Utopia, there are 52,800 residents. How many mail carriers must be hired to deliver mail to all of the residents of Utopia each day?
Answer: 38 Mail Carriers
Step-by-step explanation:
Divide residents by mail carriers.
52,800 / 1400 = 37.71
Tina pet sits to earn extra money. She charges a flat service fee of $20, plus $15 per day. If one of her customers spent less than $125, which of the following inequalities could be used to solve for x, the number of days the customer paid for pet sitting?
Therefore, **x < 7** is the inequality that may be utilized to find x
What is inequality?A mathematical statement known as an inequality compares two expressions using an inequality sign, such as (less than), > (greater than), or (less than or equal to).
For instance, the inequality x + 2 5 signifies that "x + 2 is less than 5".
Let x represent how many days the client paid for pet sitting.
$15 per day plus a $20 fixed service fee equals the total cost of pet sitting.
We are aware that the customer's purchase was under $125. Consequently, we can write:
20 + 15x < 125
Putting this disparity simply:
15x < 105
x < 7
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Add a term to the expression so tha it becomes a perfect square trinomial. Y^2-13y+
The term that should be added to the expression to make the expression perfect square trinomial is 169/4. The expression then becomes : (y - 13/2)²
What is meant by a perfect square trinomial?
By multiplying a binomial by another binomial, perfect square trinomials—algebraic equations with three terms—are created. A number can be multiplied by itself to produce a perfect square. Algebraic expressions known as binomials are made up of simply two words, each of which is separated by either a positive (+) or a negative (-) sign. Similar to polynomials, trinomials are three-term algebraic expressions.
A perfect square trinomial expression can be created by taking the binomial equation's square. If and only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is said to be a perfect square.
Given expression y² - 13y + ?
Comparing with the general equation
a = 1
b = -13
For perfect square trinomial
b² = 4ac
(-13)² = 4 * 1 * c
169 = 4c
c = 169/4
So the expression becomes,
y² - 13y + 169/4 = (y - 13/2)²
Therefore the term that should be added to the expression to make the expression perfect square trinomial is 169/4.
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By which rule are these triangles congruent?
A)
AAS
ASA
SAS
D
SSS
Answer:
SAS
there is only 2 marks on the sides so it has to be SAS
Step-by-step explanation:
$40,000,000 is what percent of $100,000,000?
Answer: 40 percent
Step-by-step explanation:
divide both equations by 1000000
40000000/1000000 =40
100000000/1000000=100
40 out of 100
Answer:40%
Step-by-step explanation: divide 40000000 by 100000000
Solve the inequality and graph the solution on the line provided. 6x-6<-30
The solution to the inequality 6x - 6 < -30 is x < -4, and it is graphically represented as a closed circle at -4 and shading to the left of -4 on the number line.
To solve the inequality 6x - 6 < -30, we can follow these steps:
Step 1: Add 6 to both sides of the inequality to isolate the variable:
6x - 6 + 6 < -30 + 6
6x < -24
Step 2: Divide both sides of the inequality by 6 to solve for x:
(6x)/6 < (-24)/6
x < -4
The solution to the inequality is x < -4. This means that any value of x less than -4 will satisfy the inequality.
To graph the solution on the number line, we represent -4 as a closed circle (since it is not included in the solution) and shade the region to the left of -4 to indicate all values less than -4.
On the number line, mark a point at -4 with a closed circle:
<--------●-----------------
Then, shade the region to the left of -4:
<--------●================
The shaded region represents the solution to the inequality x < -4.
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this is precents
60% of 90
please leave a sloution
To calculate the 60% of 90, we need to understand what means 60% in terms of fractions. Converting a percentage into a fraction has a simple method: Dividing the percentage by 100. So 60% in fraction form is just
\(\frac{60}{100}=\frac{3}{5}\)Now, to solve the problem, we only need to multiply our number 90 by this fraction; it gives us
\(90\cdot\frac{3}{5}=\frac{270}{5}=54\)Thus the 60% of 90 is 54.
write 100 min in hour and min
is 1.2 greater or less than 1.35
Answer:
Less than
Step-by-step explanation:
It is less than because it its 0.15 less than 1.35
I like to see iy as 120 and 135 to make it easier but there are other ways
hope this helps
Simplify (w3)4•(w5)2
Answer:
\(w^{22}\)
Step-by-step explanation:
\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)
Refer to the table summarizing service times (seconds) of dinners at a fast food restaurant. How many individuals are included in the summary? Is it possible to identify the exact values of all of the original service times?
Time (sec) Frequency
60 to 119 7
120 to 179 24
180 to 239 14
240 to 299 1
300 to 359 4
Answer:
Based on the provided information, the table summarizes service times (in seconds) of dinners at a fast food restaurant. To determine the number of individuals included in the summary, we can sum up the frequencies listed in the table:
7 + 24 + 14 + 1 + 4 = 50
Therefore, there are 50 individuals included in the summary.
Regarding the exact values of all the original service times, it is not possible to determine them precisely based on the given information. The table only provides ranges of service times and their corresponding frequencies. We can determine the range within which each individual's service time falls, but we cannot determine the exact value within that range.
Write the formula for the volume of a square prism, V = s-h, in terms of h. Then find the height h of a square prism with volume V = 60 cm and side length s = 6 cm. Height: Cm
Answer:
\( h = \frac{3V}{s^2} \)
height (h) = 5 cm
Step-by-step explanation:
Volume of prism in terms of h (height):
\( V = \frac{1}{3}s^2h \)
\( V = \frac{s^2h}{3} \)
Multiply both sides by 3
\( V*3 = \frac{s^2h}{3}*3 \)
\( 3V = s^2h \)
Divide both sides by s^2
\( \frac{3V}{s^2} = \frac{s^2h}{s^2} \)
\( \frac{3V}{s^2} = h \)
\( h = \frac{3V}{s^2} \)
Find height (h) given V = 60 cm³ and side length (s) = 6 cm. Plug the values into the formula above:
\( h = \frac{3(60)}{6^2} \)
\( h = \frac{180}{36} \)
\( h = 5 \)
Height = 5 cm
what is the value of m
The measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°
What is angle subtended by an arcThe angle subtended by an arc of a circle at it's center is twice the angle it substends anywhere on the circles circumference. Also the arc measure and the angle it subtends at the center of the circle are directly proportional.
arc RS = 2(m∠RQS)
Also arc AD = 140°
2(m∠RQS) = 140°
m∠RQS = 140°/2 {divide through by 2}
m∠RQS = 70°
Therefore, the measure of the angle m∠RQS subtended by the arc RS at the circumference is equal to 70°
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Solve the following systems of linear equations using the method of your choosing.
y - x = 5
3y = 3x + 15
Select one:
a.
No solution
b.
Infinite solutions
c.
(-2, 4)
Answer:
b. Infinite solutions
Step-by-step explanation:
3y = 3x + 15----->y = x + 5
x + 5 - x = 5, so we have infinite solutions.
Mariam went to the store to buy some apples. The price per pound of the apples is $6 per pound and she has a coupon for $2.25 off the final amount. With the coupon, how much would Mariam have to pay to buy 3 pounds of apples? Also, write an expression for the cost to buy p pounds of apples, assuming at least one pound is purchased.
Answer:
tell mariam to ask the shop keeper
Step-by-step explanation:
Select all expressions that are equivalent to x-5
Answer:
C. \(-5+x\)
E. \(x+(-5)\)
F. \(-5-(-12)\)
Step-by-step explanation: Let's say we chose a random number to represent x I chose 12
Find the area of the Composite Shape:
Please Help!
Answer:
151.27 cm^2
Step-by-step explanation:
We can tell that the radius of the semicircle is 5 cm. This is because the diameter is 10 cm (16 cm - 6 cm).
Area of Circle:
A(c) = π\(r^{2}\)/2 = π(5 cm)^2/2 = 25π cm^2/2 = 78.54 cm^2/2 = 39.27 cm^2
Area of Rectangle:
A(r) = 16 cm * 7 cm = 112 cm^2
A = A(c) + A(r) = 39.27 cm^2 + 112 cm^2 = 151.27 cm^2
A set of 10 cards consists of five red cards and five black cards. The cards are shuffled thoroughly, and I choose one at random, observe its color, and replace it in the set. The cards are thoroughly reshuffled, and I again choose a card at random, observe its color, and replace it in the set. This is done a total of four times. Let X be the number of red cards observed in these four trials. The mean of X is:
Answer:
The mean of X is 2
Step-by-step explanation:
Given the data in the question;
set of 10 cards consist of 5 red card and 5 blacks
cards are chosen, replaced and shuffled four times;
number of independent trials n = 4
now, since its is replaced, the probability of getting a red card in each trial will be;
p = 5/10 = 0.5
let X rep the number of red cards observed in the four trials.
the random variable follows binomial distribution where
n = 4 and p = 0.5
so
E(X) = ∑xP( X = x )
E(X) = np
we substitute
E(X) = 4 × 0.5
E(X) = 2
Therefore, The mean of X is 2
CAN SOMEONE HELP WITH THIS QUESTION?✨
The rate at which the water level is rising in the pyramid is 5 cm/s when the water level is 3 cm.
What is a pyramid?A pyramid is a three-dimensional object with triangle faces that meet at a shared vertex and a base that is a polygon. The perpendicular distance between a pyramid's base and apex determines the structure's height. The base form of a pyramid can be used to categorise them. A square pyramid, for instance, has a square base, a triangle-shaped pyramid, a triangle-shaped base, and so on. From the ancient Egyptian pyramids to the contemporary pyramids found in cities all over the world, pyramids have been employed in architecture and art for thousands of years.
Given that, sides of length 3 cm and the height is 5cm.
The volume of a pyramid is given by:
V = (1/3) * A * h
where A is the area of the base.
The base of the pyramid is a square thus,
Area = (3)(3) = 9 sq. cm.
Substitute the value of A and h in volume:
V = (1/3) * 9 * 5 = 15
Now, water is being filled at a constant rate of 45 cubic cm per second.
The rising level can thus be calculated as:
r - 45/9 = 5 cm/s
Hence, the rate at which the water level is rising is 5 cm/s when the water level is 3 cm.
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during a single day at radio station WMZH,the probability that a particular song is played in 3/8.what is the probability that this thing will be played on exactly 2 days out of 3 days ?round to your nearest thousandth
The probability that the song will be played on exactly 2 days out of 5 days is approximately 0.164.
To find the probability that a particular song is played exactly 2 days out of 5 days at radio station WMZH, we can use the binomial probability formula.
The binomial probability formula is given by P(x) = C(n, x) * p^x * (1-p)^(n-x), where P(x) is the probability of x successful outcomes, n is the number of trials, p is the probability of a successful outcome on a single trial, and C(n, x) represents the binomial coefficient, which is the number of ways to choose x items from a set of n items.
In this case, we want to find the probability of the song being played exactly 2 days out of 5 days, so x = 2, n = 5, and p = 3/8.
Using the formula, we have:
P(2) = \(C(5, 2) * (3/8)^2 * (1 - 3/8)^(^5^-^2^)\)
C(5, 2) = 5! / (2! * (5-2)!) = 10
P(2) = 10 * (3/8)^2 * (5/8)^3
P(2) ≈ 0.164 (rounded to three decimal places)
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graph h(x)=(x-1)^2-9
The graph of h(x) = (x-1)^2 - 9 is a U-shaped parabola that opens upwards, with the vertex at (1, -9), and it extends indefinitely in both directions.
The function h(x) = (x-1)^2 - 9 represents a quadratic equation. Let's analyze the different components of the equation to understand the behavior of the graph.
The term (x-1)^2 represents a quadratic term. It indicates that the graph will have a parabolic shape. The coefficient in front of the quadratic term (1) implies that the parabola opens upwards.
The constant term -9 shifts the graph downward by 9 units. This means the vertex of the parabola will be at the point (1, -9).
Based on this information, we can draw the following conclusions:
The graph will be a U-shaped curve with the vertex at (1, -9).
The vertex represents the minimum point of the parabola since it opens upward.
The parabola will be symmetric with respect to the vertical line x = 1 since the coefficient of the quadratic term is positive.
The graph will extend indefinitely in both directions.
To accurately plot the graph, you can choose several x-values, substitute them into the equation to find the corresponding y-values, and then plot the points on the graph. Alternatively, you can use graphing software or calculators that can plot the graph of the equation for you.
Remember to label the axes and indicate the vertex at (1, -9) to provide a complete representation of the graph of h(x) = (x-1)^2 - 9.
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Determine the value c so that each of the following functions can serve as a probability distribution of the discrete random variable X:(a) f(x) = c(x2 + 4), for x = 0, 1, 2, 3;(b) f(x) = c (2x) (33-x) , for x = 0, 1, 2. 2.^^(2 is supposed to be directly above x, but not in fraction form, same for 3 and 3-x)
The value of c is 1/17.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2
We have to find the value of c
Since f(x) represents the probability distribution x = 0, 1 ,2
So we have f(0)+f(1)+f(2)=1
c(0²+4)+c(1²+4)+c(2²+4)=1
4c+5c+8c=1
17c=1
Divide both sides by 17
c=1/17
Hence, the value of c is 1/17.
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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?
a.
1/3
b.
1/17
c.
1/2
d.
1/13
Write an equation that relates the number of peppers, n, and the
cost, C.
Complete Question:
The local Farm Market sells peppers at five for $2.25. Write an equation that relates the number of peppers, n, and the cost, C.
Answer:
\(C = 0.45n\)
Step-by-step explanation:
Given
\(5\ peppers = \$2.25\)
Required
Determine the relationship between C and n
\(5\ peppers = \$2.25\)
Divide both sides by 5, to get the cost of 1 pepper
\(\frac{5\ peppers}{5} = \frac{\$2.25}{5}\)
\(1\ pepper = \frac{\$2.25}{5}\)
\(1\ pepper = \$0.45\)
Multiply both sides by n to get the cost of n pepper
\(n*1\ pepper = \$0.45*n\)
\(n\ pepper = \$0.45n\)
So, we have:
\(C = 0.45n\)
Heyyyyy how life???? I’m good
Answer:
life amazing hbu
Step-by-step explanation:
yes
Answer:
Im good
Step-by-step explanation:
:)
Find the value of x
Answer: The value of x is 49.
Step-by-step explanation:
To find the value of x, you will first need to cross multiply the fractional variables together.
5x - 80 = 3x + 18
Then, move the numerical term 80 to the right side of this equation and add it to 18.
5x - 80 = 3x + 98
Move 3x to the left side of the equation and subtract it this time to the variable 5x.
2x = 98
Finally, you divide both of the equation's sides by 2 and you will get 49.
x = 49
When you actually add x to this problem, you would get 33/55.
49 - 16/49 +6 = 33/55
You can then simplify 33/55 and get the same answer 3/5.
3/5
Therefore, the value of x for this variable equation with the fractions would be equal to x = 49. Hope this helps!
-From 5th Grader Honors Student