There are 20 sixth grader and 25 seventh grader in the junior scholar club. For their first community service project, the Scholar Club president wants to organize the club members into equal-size groups. Each Group will have only sixth graders or only seventh graders.
A) How many students will be in each group if each group has the greatest possible number of members?
B) If each group has the greatest possible number of club members, how many groups of sixth graders and how many groups of seventh graders will there be? Please show the work and answers.
Answer: a) Each group has 5 members as its greatest possible.
b) There are 4 groups of sixth graders and 5 groups of seventh graders.
Step-by-step explanation:
Since we have given that
Number of sixth grader = 20
Number of seventh grader = 25
We need to find the greatest possible number of members in each group will contain:
For greatest possible number we will find "Highest common factor (H. C.F) of 20 and 25 = 5
a) Each group has 5 members as its greatest possible.
b) Number of groups of sixth graders would be
[tex]\dfrac{20}{5}=4[/tex]
Number of groups of seventh graders would be
[tex]\dfrac{25}{5}=5[/tex]
Hence, there are 4 groups of sixth graders and 5 groups of seventh graders.
the leukemia and lymphoma society sponsors a 5k race to raise money it receives 55 per race and 10,000 in donations but it must spend 15 per race entry to cover the cost of the race write and solve an inequality
Find the point p where the line x = 1 + t, y = 2t, z = -3t intersects the plane x + y - z = 3.
How many boxes of carrots are left? 75 boxes − 68 boxes = 7 boxes
The question pertains to a basic subtraction operation where the student is left with 7 boxes of carrots after subtracting 68 boxes from an initial count of 75 boxes.
The subject of the question is mathematics, specifically involving subtraction and the concept of determining the number of items remaining after a reduction. The mathematical operation presented in the question is 75 boxes - 68 boxes = 7 boxes, which indicates that when you start with 75 boxes of carrots and remove 68 boxes, you are left with 7 boxes of carrots.
This type of problem is common in elementary mathematics and does not involve complex concepts such as permutations, probability, or statistical distributions.
If Sandy has 288 tiles and wants one-half of the tiles divided evenly into three different colors (green, yellow, burgundy). How many green tiles does she need?
The required number of green tiles is 48
Given that,
Sandy has 288 tiles and wants one-half of the tiles divided evenly into three different colors (green, yellow, burgundy), How many green tiles she need is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
total number of tiles = 288
half of the tiles = 288 / 2 = 144
Now this half number of tiles is divided into 3 equal parts, in (green, yellow, burgundy)
= 144 / 3
= 48
So, she needs 48 green tiles.
Thus the required number of green tiles is 48.
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can you do it on paper please? that would be helpful.
you could type it in though.
that's ok too.
A different species of cockroach has weights that follow a normal distribution with a mean of 50 grams. after measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams. based on this report,what is the approximate standard deviation of the weights for this species of cockroaches?
To find the standard deviation of the weights of a species of cockroach when it is known that 14% weigh more than 55 grams, you can use the Empirical Rule of a normal distribution and solve using the given mean and the equivalent standard deviation for the 14% threshold. The estimated standard deviation in this case is around 4.63 grams.
Explanation:Your question is about using statistical information about a normally distributed population - in this case, the weights of a certain species of cockroach - to estimate the standard deviation of that population.
One thing we know about normally distributed data is that approximately 68% of all measurements fall within one standard deviation (either above or below) of the mean, about 95% fall within two standard deviations, and about 99.7% fall within three standard deviations. This is often referred to as the Empirical Rule or 68-95-99.7 rule.
According to the information provided, 14% of the cockroaches in the studied population weigh more than 55 grams. On a standard normal distribution, 14% represents approximately 1.08 standard deviations above the mean (you can find this value on a standard normal distribution table). Since we know that the mean weight is 50 grams, we can set up the following equation to solve for the standard deviation:
50 (mean weight) + 1.08 (standard deviation equivalents for 14%) * σ (standard deviation) = 55
Solving for σ we find that the standard deviation σ for the population of these cockroaches is approximately 4.63 grams.
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List all integers between −100 and 100 that are congruent to −1 modulo 25.
"-1 modulo 25" is "1 less than a precise
multiple of 25".
So what are the exact or precise multiples of 25 in the appropriate
interval?
It is -75, -50, -25, 0, 25, 50, 75, and 100.
Now just subtract 1 from each of them.
So the answers are -76, -51, -26, -1, 24, 49, 74, and 99.
A line has a slope of -1/2 and a y-intercept of –2.
what is the x-intercept of the line?
y = (slope)x + (y-intercept)
y = -1/2x - 2
x-intercepts occur when y = 0
0 = -1/2x - 2
2 = -1/2x
x = -4
Thus, the x-intercept is at (-4,0)
HELP PLEASE URGENT NEED TO PASS THIS CLASS
given b(x)=|x+4| what is b(-10)
Answer:
Given that b(x)=|x+4| value of b(-10) is:
6
Step-by-step explanation:
|We are given that:
b(x)=|x+4|
We have to find the value of b(-10)
Putting x= -10 in above equation, we get
b(-10)=|-10+4|
=|-6|
=6
Hence, given that b(x)=|x+4| value of b(-10) is:
6
Which of the following numbers is the smallest?
4/9
0.44
3/7
400%
a rectangular flower garden has area of 32 square feet. if the width of the garden is 4 feet less than the length, what is the perimeter, in feet, of the garden?
To find the perimeter of the rectangular flower garden, we first need to find its dimensions. Once we have the length and width, we can calculate the perimeter by using the formula: P = 2(length + width). Therefore, the perimeter of the garden is 4x - 8 feet.
Explanation:To find the perimeter of the rectangular flower garden, we first need to find its dimensions. Let's use x to represent the length of the garden.
According to the problem, the width of the garden is 4 feet less than the length, so the width would be x - 4.
The area of the garden is 32 square feet, so we can set up the equation: x * (x - 4) = 32.
We can solve this equation by factoring or by using the quadratic formula to find the length.
Once we have the length and width, we can calculate the perimeter by using the formula: P = 2(length + width).
Substituting the values, we get P = 2(x + x - 4), which simplifies to P = 4x - 8.
Therefore, the perimeter of the garden is 4x - 8 feet.
find the quotient for 4 over 5389
Sixteen more than a number is 48 which equation models this sentence
A 16n = r8
B n - 16 = 48
C n + 16 = 48
D n ➗ 16 =48
how many times more respondents chose silver than red round to the nearest tenth if necessary silver 0.2 red 0.09
Answer: 2.2
Step-by-step explanation:
Given : Proportion of choosing silver = 0.2 =0.20.
Proportion of choosing red= 0.09
Clearly, 0.20> 0.09
Now, the number of times more respondents chose silver than red will be :-
[tex] n=\dfrac{0.20}{0.09}\\\\=\dfrac{20}{9}\\\\=2.22222\approx2.2\ \text{ Rounded to the nearest tenth}[/tex]
Hence, 2.2 times the respondents chose silver than red.
Output all of the numbers and their squares between 1 and 10 using a do while loop
What is the property tax of 1.6% on property assessed at $85,000?
1,360
5,312
13,600
53,125
Answer:
$1,360.
Step-by-step explanation:
We are asked to find the amount of property tax at a rate of 1.6% assessed at $85,000.
Let us find 1.6% of 85,000 to find the amount of property tax.
[tex]\text{Amount of property tax}=\frac{1.6}{100}\times 85,000[/tex]
[tex]\text{Amount of property tax}=0.016\times 85,000[/tex]
[tex]\text{Amount of property tax}=1,360[/tex]
Therefore, the property tax will be $1,360 and 1st option is the correct choice.
WILL GIVE BRAINEST
Identify one characteristic of exponential decay.
Answer: A
Step-by-step explanation:
The expression 62.4d - 210 gives the number of Indian rupees you receive when you exchange $d at the local currency exchange.
How many Indian rupees do you receive when you exchange $13?
I need help with this problem
Divide mixed numbers
Write the mixed number(s) as_(blank)_fractions
Write the_(blank)_ of the divisor
Multiply as with _(blank)_.Simplify
how can 32 ounces: 8 pints be simplified
A building has 4 offices. There are 4 people in each of the offices. Each person has 4 chairs. How many chairs are in the building? Enter your answer in the box.
A pineapple is 7 times as heavy as an orange. The pineapple also weighs 870 grams more than the orange. What is the total weight in grams for the pineapple and the orange?
0.6 is 10 times as much as what
0.6 is 10 times as much as 0.06.
What is multiplication?Multiplication is the general procedure in mathematics in which we multiply two or more numbers to each other to find a new multiplied number.
Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than one.
Let's say 0.6 is 10 times as much as x
Then,
0.6 = 10x
x = 0.6/10 = 0.06
Hence "0.6 is 10 times as much as 0.06".
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There are about 4200 college presidents in the United States, and they have annual incomes with a distribution that is skewed instead of being normal. Many different samples of 40 college presidents are randomly selected, and the mean annual income is computed for each sample. What is the approximate shape of the sample means?
Final answer:
The distribution of sample means for college presidents' incomes, based on many different samples of size 40, will approximate a normal distribution due to the Central Limit Theorem.
Explanation:
The question regarding the distribution of sample means for college presidents' incomes pertains to a concept in statistics known as the Central Limit Theorem. When dealing with a population whose distribution is skewed, the distribution of sample means tends to become approximately normal if the sample size is large enough, which is usually considered to be over 30. As multiple samples of size 40 are taken in this case, the distribution of the sample means for the college presidents' annual incomes should approximate a normal distribution.
Find the critical numbers of the function.
g(y) = y − 3 / y2 − 3y + 9
To find the critical numbers of the function g(y) = (y - 3) / (y^2 - 3y + 9), we need to find the values of y for which the derivative of g(y) is equal to zero or does not exist. By following the steps above, we find that the function has no critical numbers.
Explanation:To find the critical numbers of the function g(y) = (y - 3) / (y^2 - 3y + 9), we need to find the values of y for which the derivative of g(y) is equal to zero or does not exist.
First, find the derivative of g(y) using the quotient rule: g'(y) = (1*(y^2 - 3y + 9) - (y - 3)*(2y - 3)) / (y^2 - 3y + 9)^2. Simplify g'(y) by expanding and collecting like terms to get g'(y) = 6y^2 - 24y + 24 / (y^2 - 3y + 9)^2. To find the critical numbers, set g'(y) equal to zero and solve for y. In this case, there are no real solutions. Next, check for values of y where g'(y) does not exist. In this case, there are no such values.
Therefore, the function g(y) = (y - 3) / (y^2 - 3y + 9) has no critical numbers.
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A student must take one physics, one chemistry, and one mathematics course during their junior year of high school. There are three courses to choose from for physics (P1, P2, P3), two courses to choose from for chemistry (C1, C2), and two courses to choose from for mathematics (M1, M2). How many possible combinations are there for the three physics, chemistry, and mathematics courses a student could select?
Ralph sold brownies for $0.66 a piece in order to earn money to buy baseball cards. If the cards cost $0.90 per pack, and if Ralph had no money left over after buying them, what is the least number of brownies he must have sold?
It takes 40 min for a bus to travel the 36 miles from Framingham to Worcester. A car traveling from Worcester to Framingham moves 1.5 times as fast as the bus. If the car and the bus start moving towards each other simultaneously, after how many minutes will they meet?
The velocity of the bus is:
velocity (bus) = 36 miles / 40 min
velocity (bus) = 0.9 miles / min
Since the car is 1.5 times faster, so the velocity of the car is:
velocity (car) = 1.5 * 0.9 miles / min
velocity (car) = 1.35 miles / min
At the meeting point, the sum of the distance is equal to 36 miles. Therefore:
1.35 t + 0.9 t = 36
2.25 t = 36
t = 16 min
So they will meet after 16 minutes.