There are 325 students in ping pong club. There are 5 girls for every 7 boys in the club. Which is the correct proportion that can be used to determine the number of girls in the club?
Answers
Answer: D
Hope this helps :)
Please give brainliest
To find the number of girls in the club, you can set up a proportion using the given information. Cross-multiply the proportion and solve for the number of girls. The approximate number of girls in the club is 232.
Explanation:To determine the number of girls in the club, we can set up a proportion using the given information. Since there are 5 girls for every 7 boys in the club, the proportion can be written as:
Girls/Boys = 5/7
To find the number of girls, we can solve the proportion by cross-multiplying:
Girls = (5/7) * Total Number of Students
Substituting the given total number of students as 325, we can calculate the number of girls in the club as:
Girls = (5/7) * 325
Girls = 232.14
Therefore, there are approximately 232 girls in the ping pong club.Learn more about Determining the number of girls in a club here:https://brainly.com/question/21322206
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Related Questions
Melissa is making clothes for her dolls she has 7/8 yard of fabric each doll shirts require 2/7 of a yard of fabric. how many shirts can she make for each dolls.
Answers
7/8 / 2/7 =
7/8 * 7/2 = 49/16 = 3 1/16
she can make 3 shirts
What is the monthly payment for $280000 mortgage with an interest of 6% compounded monthly for 20 years?
Answers
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value 280000
PMT monthly payment?
R interest rate 0.06
K compounded monthly 12
N time 20 years
Solve the formula for PMT
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]
PMT=280,000÷((1−(1+0.06÷12)^(
−12×20))÷(0.06÷12))
=2,006.01
Write the event as set of outcomes. We flip three coins and obtain more tails than heads.
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H H T
H T H
T H H
T T T 1
T T H 2
T H T 3
H T T 4
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$15 represents 20% of the spending money Arie is saving for camp this summer. What is the total amount of money she hopes to take to camp?
Answers
0.20x = 15
x = 15 / 0.20
x = 75 <==
Answer: $75
Step-by-step explanation: i got it right on my quiz
The survey of study habits and attitudes (ssha) is a psychological test that measures the motivation, attitude, and study habits of college students. scores range from 0 to 200 and follow (approximately) a normal distribution with mean 115 and standard deviation 25. you suspect that incoming freshmen at your school have a mean μ which is different from 115 because they are often excited yet anxious about entering college. to test your suspicion, you decide to test the hypotheses h0: μ = 115 versus ha: μ ≠ 115. you give the ssha to 25 incoming freshmen and find their mean score to be 116.2. what is the value of the test statistic?
Answers
Final answer:
The value of the test statistic in this scenario is 0.24, calculated using the z-score formula based on the provided sample mean, population mean, standard deviation, and sample size.
Explanation:
The value of the test statistic for a hypothesis testing can be calculated using the formula for the z-score, which is (sample mean - population mean) / (standard deviation / √sample size). In this case, given that the sample mean is 116.2, the population mean is 115, the standard deviation is 25, and the sample size is 25 students, the test statistic can be calculated as follows:
(116.2 - 115) / (25 / √25)
This computation yields a z-score of:
(1.2) / (25 / 5)
(1.2) / 5 = 0.24.
Therefore, the value of the test statistic is 0.24.
if g (x)= x^2-5, where does the graph g (x) cross the x-axis?
Answers
x^2 - 5 = 0
x^2 = 5
x = sqrt5 or -sqrt5
so grapg corosses the x axis at (-sqrt5,0) and (sqrt5, 0)
The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with a mean of 6.7 minutes and a standard deviation of 2.2 minutes. for a door selected at random, what is the probability the assembly time will be:
a.5 minutes or less?
b.10 minutes or more?
c.between 5 and 10 minutes?
Answers
Question a)
We have
X = 5 minutes
The mean, μ = 6.7 minutes
Standard deviation, σ = 2.2 minutes
z-score = (X - μ) / σ = (5 - 6.7) / 2.2 = -0.77
We want to find the probability of z < -0.77 so we read the z-table for the value of z on the left of -0.77 we have the probability P(z< -0.77) = 0.2206
The table is attached in picture 1 below
The probability of assembly time less than 5 minutes is 0.2206 = 22.06%
Question b)
z-score = (10-5) / 2.2 = 2.27
Reading the z-table for P(z<2.27) = 0.9884
The table reading is shown in the second picture below
The probability the assembly time will be less than 10 minutes is 0.9884
We can use this information to find the probability of the assembly time will be more than 10 minutes = 1 - 0.9884 = 0.0116 = 1.16%
Question c)
The value of z between 5 minutes and 10 minutes is
P(-0.77<z<2.27) = P(z<2.27) - P(z< -0.77)
P(-0.77<z<2.27) = 0.9884 - 0.2206 = 0.7678 = 76.78%
Use the remainder theorem to determine the remainder when d4 + 2d2 + 5d − 10 is divided by d + 4. A. 42 B. 258 C. 126 D. 106
Answers
Answer: The correct option is (B) 258.
Step-by-step explanation: We are give to use the remainder theorem to determine the remainder when
[tex]d^4+2d^2+5d-10[/tex] is divided by [tex]d+4.[/tex]
Remainder Theorem : If p(x) is a polynomial in x and a is any real number, then the remainder when p(x) is divided by (x - a) is p(a).
For the given division, we have
[tex]p(d)=d^4+2d^2+5d-10\\\\d-a=d+4~~~~~\Rightarrow a=-4.[/tex]
Therefore, the remainder when p(d) is divided by (d + 4) is given by
[tex]p(-4)\\\\=(-4)^4+2\times (-4)^2+5\times(-4)-10\\\\=256+32-20-10\\\\=288-30\\\\=258.[/tex]
Thus, the required remainder is 258.
Option (B) is CORRECT.
Someone please help, I'm stuck!
From the table below, determine whether the data shows an exponential function. Explain why or why not.
x: 3, 1, -1, -3
y: 1, 2, 3, 4
(A) No; the domain values are at regular intervals and the range values have a common sum 1.
(B) No; the domain values are not at regular intervals.
(C) Yes; the domain values are at regular intervals and the range values have a common factor 2.
(D) Yes; the domain values are at regular intervals and the range values have a common sum 1.
Answers
In terms of the context of your answer choices, the final answer is choice A. The domain values are at regular intervals (in this case 2) while the range values increment by the same value as well (1 in this case).
If two tangent segments to a circle share a common endpoint outside a circle, then the two segments are
Answers
If two tangent segments to a circle share a common endpoint outside a circle, then the two segments are congruent. This is according to the intersection of two tangent theorem. The theorem states that given a circle, if X is any point within outside the circle and if Y and Z are points such that XY and XZ are tangents to the circle, then XY is equal to XZ.
Final answer:
Two tangent segments to a circle that share a common endpoint outside the circle are congruent, meaning they have the same length. This is a fundamental concept in circle geometry, illustrating the unique properties of tangents and their interactions with circles.
Explanation:
If two tangent segments to a circle share a common endpoint outside a circle, then the two segments are congruent. This means the lengths of the two tangent segments from the common external point to their respective points of tangency on the circle are equal. This concept is important in the study of circle geometry, as it helps in understanding relationships between tangents and circles.
A tangent to a circle is a line that touches the circle at exactly one point, ensuring it does not cross the circle at that touchpoint. This property of tangents being congruent when they share an external point is proven using the properties of right triangles and the fact that tangents from a point outside the circle to the circle are perpendicular to the radius at the point of tangency.
An example of this concept in action is if you draw two tangents from a single point outside of the circle to any two points on the circle's boundary, the segments of these tangents from the external point to the points of tangency will have the same length.
Are the two functions parallel, perpendicular, the same equation, or none of these choices? -x-3y= -18 9x-3y= -27
Answers
-x-3y=-18 => -3y = -18+x => y= 6 - 1/3 x
9x-3y=-27 -> -3y = -27-9x => y= 9 + 3 x
Just comparing the slopes, you see they are -1/3 and 3, which are each other's negative reciprokes. Negative reciprocal slopes are perpendicular.
Complete the equation of variation where y varies inversely as x and y = 0.125 when x = 8.
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when x=8
I don't know how to do this
Answers
x = 9, y = 5(9) -3 = 42 -> Yes
x = -2, y = 5(-2) - 3 = -13 -> Yes
x = -8, y = 5(-8) - 3 = -43 -> No
x = 2, y = 5(2) - 3 = 7 -> No Hope it helped!
According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?
(9x + 7)(4x + 1)(3x + 4) = 0
Answers
The polynomial function f(x)=(9x + 7)(4x + 1)(3x + 4) is a third degree polynomial, expressed in factored form.
f has 3 linear (first degree) factors, so 3 roots, which are -7/9, -1/4 and -4/3.
Answer: 3 roots
Answer:
3
Step-by-step explanation:
Which method of reasoning reaches a general conclusion on the basis of a number of observations that form a pattern?
deductive reasoning
inductive reasoning
complementary reasoning
supplementary reasoning
Answers
Answer:
Deductive reasoningStep-by-step explanation:
Deductive reasoning can be defined as the process of reasoning based on premises to reach a specific conclusion.
So, in this case, the statement indicate a method of reasoning based on a number of observations that can lead to a conclusion. That's just deductive reasoning, because those number of observations form the system of premises, from which a deductive logic is developed to get to the conclusion.
Therefore, the right answer is the first choicem, deductive reasoning.
please simplify 9/3-2i.
Answers
Multiply by 3+2i/3+2i
combine: 9(3+2i)/(3−2i)(3+2i)
foil: 9(3+2i)/3⋅3+3(2i)−2i⋅3−2i(2i)
simplify: 9(3+2i)/9−4i^2
9(3+2i)/9+4
9(3+2i)/13
27+18i/13
Divide each term in the numerator by the denominator.
27/13+18i/13 = answer
How many different sums can be made with a penny nickel dime quarter?
Answers
2 coins is 4*3 ways
3 coins is 4*3*2 ways
4 coins is 4*3*2*1 ways
so total is 4+12+24+24=64 sums
The perimeter of a rectangular slab of concrete is 24 meters. If the length of the
rectangular slab is 2 meters longer than its width, what is the width of the slab?
Answers:
A) 5 meters
B) 6 meters
C) 7 meters
D) 8 meters
The answer is 5 meters but i don't know how to get that. HELP
Answers
also as length = width + 2 we can write the equation L = W+2
now replace the L in the first equation by W+2, we get:-
2(W+2) + 2W = 24
solve for W:-
2W + 4 + 2W = 24
4W = 24-4 = 20
W = 20/4 = 5
width = 5 meters.
The width of the slab is 5 meters which is correct option(A).
What is perimeter of rectangle?Perimeter of rectangle is defined as addition the lengths of the rectangle's four sides.
Let length of slab is L, width is W,
The perimeter of a rectangular slab = 24
2(length) + 2(width) = 2L + 2W = 24
If the length of the rectangular slab is 2 meters longer than its width
= width + 2
So, the equation L = W+2
Now substitute, L= W+2 in equatioin of perimeter,
2(W+2) + 2W = 24
2W + 4 + 2W = 24
4W = 24-4 = 20
W = 20/4 = 5
W = 5
Hence, the width of the slab is 5 meters.
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Which of the following show the factored equivalent of f(x) = (2x2 +7x + 3)(x - 3) and its zeros?
f(x) = (x + 5)(x + 7)(x - 3); -5, -7, 3
f(x) = (x + 3)(2x + 1)(x - 3); -3, -0.5, 3
f(x) = (x + 5)(x + 7)(x - 3); 5, 7, -3
f(x) = (x + 3)(2x + 1)(x - 3); 3, 0.5, -3
Answers
Final answer:
The factored equivalent of [tex]f(x) = (2x^2 +7x + 3)(x - 3)[/tex] is f(x) = (x + 3)(2x + 1)(x - 3), and its zeros are -3, -0.5, and 3.
Explanation:
The factored equivalent of the polynomial f(x) = (2x2 +7x + 3)(x - 3) and its zeros can be determined by factoring [tex]2x^2 + 7x + 3[/tex]. We notice that this quadratic can be factored into (2x + 1)(x + 3). Therefore, when we include the (x - 3) term, we get the fully factored form,
f(x) = (2x + 1)(x + 3)(x - 3). To find the zeros, we set each factor equal to zero:
2x + 1 = 0 gives a zero of -0.5;
x + 3 = 0 gives a zero of -3; and,
x - 3 = 0 gives a zero of 3. Thus, the correct answer is
f(x) = (x + 3)(2x + 1)(x - 3); -3, -0.5, 3.
What is the differnce between union and intersection in math
Answers
Final answer:
Union and intersection are two operations used in set theory to combine sets or find common elements.
Explanation:
Union and intersection are two operations used in set theory. In mathematics, a set is a collection of distinct objects. The union of two sets A and B, denoted by A ∪ B, is the set that contains all the elements that are in either A or B or in both. The intersection of two sets A and B, denoted by A ∩ B, is the set that contains all the elements that are common to both A and B.
For example, let's consider two sets: A = {1, 2, 3} and B = {2, 3, 4}. The union of A and B is {1, 2, 3, 4}, as it contains all the elements from both sets. The intersection of A and B is {2, 3}, as those are the elements that are common to both sets.
A person is standing exactly 36 ft from a telephone pole. There is a 30 degree angle of elevation from the ground to the top of the pole. What is the height of the pole?
Answers
[tex]tanA = \frac{BC}{AB} \ \ \to \ \\BC = AB * tanA = 36 * \frac{ \sqrt{3} }{3} =12 \sqrt{3} \approx 20.78 \ ft. [/tex]
By using the tangent function in trigonometry, we find that the height of the telephone pole is approximately 20.78 feet. This was calculated using the given angle of elevation and the distance from the pole.
To find the height of the telephone pole, we can use trigonometry, specifically the tangent function. The tangent of an angle in a right triangle is the ratio of the opposite side to the adjacent side.
Given:
Distance from the person to the base of the pole (adjacent side) = 36 ftAngle of elevation from the ground to the top of the pole = 30 degreesWe know that:
tan(30°) = opposite / adjacent
So,
tan(30°) = height / 36 ft
From a trigonometric table or calculator, tan(30°) ≈ 0.5774.
We can set up the equation as:
0.5774 = height / 36 ft
Solving for the height of the pole:
height = 0.5774 * 36 ftheight ≈ 20.78 ftTherefore, the height of the pole is approximately 20.78 feet.
Tiana takes 3 hours to drive to the coast without stopping. How many minutes will it take her to reach the coast if she stops to ready for 20 minutes
Answers
60 minutes in an hour
3 x 60 = 180 minutes
180 +20 = 200 minutes total
In rectangle JKLM, angle JML is 3x - 15. Find the value of x.
Answers
Right angles measure up to 90 degrees.
JML is also a right angle which means 3x - 15 is equal to 90
3x - 15 = 90
3x = 105
x = 35
the sum of two numbers is 15 one number is twice as large as the second number what are the tw numbers which let statement would you use
Answers
x +2x =15
3x=15
x=15/3
x=5
2x=2*5=10
10+5=15
the two numbers are 5 & 10
(05.01 LC)
The graph shows the number of sprays an automatic air freshener dispenses, y, in x minutes
Which expression can be used to calculate the rate per minute at which the air freshener dispenses sprays?
fraction 30 over 2
fraction 2 over 30
fraction 30 over 8
fraction 8 over 30
Answers
the first dot is on 2 for number of sprays and 30 for time
so the expression would be number of sprays over time so 2 over 30
2/30 that would reduce to 1/15 meaning each spray happens every 15 minutes
In this exercise we have to interpret the reported graph of an increasing linear function, we find that:
Letter B
Recalling the concepts of an increasing linear function as:
Linear functions happen those whose diagram is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function bear individual independent changing and individual dependent changeable. The independent changeable is x and the helpless changing happen y.With this explanation we have:
Expression would be number of sprays over time so 2 over 30, will be equal to:
[tex]30/2=15[/tex]
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Branliest and alot of points who answers first
The chart on a cereal box shows that one serving contains 32% of the rda for dietary fiber the rda for dietary fiber is 25 grams write in the box on the chart the number of grams of dietary fiber in one serving
Answers
Find the area of a regular hexagon with a perimeter of 42 feet. Round to the nearest tenth if necessary. Select one: a. 128.1 units2 b. 256.2 units2 c. 42.7 units2 d. 21.35 units2
Answers
Each triangle has base 42/6 = 7 feet
Height of each triangle 7 * sqrt3/2 = 3.5 sqrt3
Area of 1 triangle = 3.5^2 sqrt3
area of hexagon = 6 * 3.5^2 sqrt3 = 73.5 sqrt3 or 127.3 sq feet to nearest tenth
What is the sum of the integers between the square root of 12 and 40?
Answers
the closest perfect squares of 12 are 9 and 16,
that is 9<12<16
so
[tex] \sqrt{9}\ \textless \ \sqrt{12}\ \textless \ \sqrt{16} [/tex]
[tex]3\ \textless \ \sqrt{12}\ \textless 4[/tex]
this means, [tex]\sqrt{12}[/tex] is 3 point something...
2.
similarly
36<40<49
so
[tex] \sqrt{36}\ \textless \ \sqrt{40}\ \textless \ \sqrt{49} [/tex]
[tex]6\ \textless \ \sqrt{40}\ \textless \ 7[/tex]
which means [tex] \sqrt{40}[/tex] is 6 point something...
3.
the sum of the integers between the square root of 12 and 40 is the sum of 4, 5 and 6, since 4 is the smallest integer after root 12, and 6 the greatest integer to before root of 40.
Answer: 15
Sally has 5 red flags, 3 green flags, and 4 white flags. how many 12-flag signals can she run up a flag pole
Answers
To solve for the total number of 12 – flag signals Sally can make, we need to make use of the formula:
total flags = d! / (a! b! c!)
Where,
d = is the number of flags to create a signal = 12
a = number of red flags = 5
b = number of green flags = 3
c = number of white flags = 4
We can observe from the equation that the individual number of flags is factored out (or divided from) that is because all the 5 red flags are similar, all the 3 flags are similar and all 4 flags are similar.
Going back into the equation, by substituting and calculating:
total flags = 12! / (5! 3! 4!)
total flags = 27,720
Therefore there are about 27,720 different 12-flags signals.
Choose the correct simplification of (5x3 − 5x − 8) + (2x3 + 4x + 2).
Answers
7x^3-x-6
Answer:
7x^3+x+6
Step-by-step explanation:
Its answer choice A on a test.