Here we want to create algebraic expressions for different quantities.
i) Nazaneen has 3*m marbles.
ii) Karly has m + 4 marbles.
a) The given data is:
Shireen has m marbles.
Nazaneen has three times as many marbles as Shireen.
Knowing that Shireen has m marbles, we can conclude that Nazaneen has:
3*m marbles.
Karly has 4 more marbles than Shireen, then Karly has m + 4 marbles.
Then the equations for the number of marbles that each one has are:
Shireen = m
i) Nazaneen has 3*m marbles.
ii) Karly has m + 4 marbles.
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For each graph below, state whether it represents a function.
Answer:
graphs 1, 2, 3, and 4, can represent a function
graphs 5 and 6 can not represent a function.
Step-by-step explanation:
If for a given graph of a relationship you can draw a vertical line that intersects the graph in more than one point, then we can conclude that the graph does not represent a function.
Now, if we look at the first four graphs, we can see that no vertical line intersects more than one point, so the first four can represent functions.
The special case here is graph number 2, where we can see a white dot right below a colored dot, and if we draw a vertical line there, the line will touch both points. But, a white dot means that the exact point does not belong to the graph, so if the line passes through there, it will not intersect the graph.
For the last two, this is not the case, in graph 5 and graph 6 we could draw vertical lines that intersect the graphs twice
(any line like x = n, with n < 0, intersects two points in graph 5, while the line x = 0 intersects twice the graph number 6)
So graph 5 and graph 6 can't represent functions.
In a certain country people own a total of about 352 million fish, cats, and dogs as pets. The number of fish owned is 14 million more than the total number of cats
and dogs owned, and 11 million more cats are owned than dogs. How many of each type of pet do people in this country own?
Answer:
dogs = 79
dats = 90
fish = 183
Step-by-step explanation:
let the total number of dogs owned be x
no. of cats owned = x+11
no. of fish owned = x+11+x+14= 2x+25
hence,
2x+25+x+11+x=352
4x=316
x=316/4= 79mil
no. of cats owned = 79 + 11 = 90
no. of fish owned = 2(79)+25=183
find the value of trigonometric ratio
Step-by-step explanation:
tan Z=p/b
=48/14
=24/7
Keep smiling and hope u are satisfied with my answer.Have a good day :)
on a recent algebra test the highest grade was 36 points more then the lowest grade. the sum of the two grades was 132. find the lowest grade.
Suppose you believe that the true average daily trade volume for General Electric stock is 49,829,719 shares and a standard deviation of 21,059,637 shares. Considering a 95% confidence level: What is the minimum required sample size if you would like your sampling error to be limited to 1,000,000 shares
Answer:
The minimum sample size is 1,704.
Step-by-step explanation:
We have to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a p-value of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Standard deviation of 21,059,637 shares
This means that [tex]\sigma = 21059637[/tex]
What is the minimum required sample size if you would like your sampling error to be limited to 1,000,000 shares?
This is n for which [tex]M = 1000000[/tex], so:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]1000000 = 1.96\frac{21059637}{\sqrt{n}}[/tex]
[tex]1000000\sqrt{n} = 1.96*21059637[/tex]
[tex]\sqrt{n} = \frac{1.96*21059637}{1000000}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*21059637}{1000000})^2[/tex]
[tex]n = 1703.8[/tex]
Rounding up:
The minimum sample size is 1,704.
One year, Alex bought an antique car for his birthday. During the first year he owned it, the
value of the car gained 10%. During the second year, the value of the car gained another
15% from the previous year. If the value of the car is now $37,950.00, how much did Alex
originally pay for his car?
Answer:
28462.5
Step-by-step explanation:
During the first year it gained 10% and during his second year he gained 15% so you first add those and you get 25%.
Then you multiply 25% with 37,950.
25/100 * 37950 = 948,750/100
= 9487.5
To get the original amount you subtract 9487.5 from 37,950
37,950 - 9487.5 = 28462.5
So the original amount was 28462.5
i need y’alls help !!
Answer for this prob
4. Jack started packing the box shown with 1-centimeter cubes.
- cubic centimeter
Select all the true statements below.
A. Jack needs to add 2 more layers to fill the box.
B. Jack packed 16 cubes into the bottom of the box.
The box is 8 centimeters long.
The box is 3 centimeters high.
E.) The volume of the box is 32 cubic centimeters.
F. The volume of the box is 16 centimeters.
Answer:
if I am not mistakedn the answe id e
write the expression as a trinomial (5c+2)(2c-1)
Answer:
10c^2-c-2
Step-by-step explanation:
FOIL method
or just multiply all of the numbers by each other, if you get 4 numbers you did it right then simplify;
(5c+2)(2c-1) 5c*2c; 2*-1; -1*5c; 2*2c = 10c^2, -2, -5c, 4c, simplify, 10c^2 -c -2. Hope this helps :)
Answer:
10c² - c - 2
Step-by-step explanation:
(5c+2)(2c-1)
10c² - 5c + 4c - 2
10c² - c - 2
Look at images below. : ]
Answer:
1) A
B) 5.818 stops
Step-by-step explanation:
Number One is less than or equal to 21 because the person only has 21 dollars, so she can't spend more than 21.
B can be solved through the equation by first subtracting $5, and then dividing 2.75 by 16.
Evaluate the expression for x = 3 and y= 4.
[tex]\\ \large\sf\longmapsto -\dfrac{4x^3}{3y^2}[/tex]
[tex]\\ \large\sf\longmapsto -\dfrac{4(3)^3}{3(4)^2}[/tex]
[tex]\\ \large\sf\longmapsto -\dfrac{4(27)}{3(16)}[/tex]
[tex]\\ \large\sf\longmapsto -\dfrac{108}{48}[/tex]
[tex]\\ \large\sf\longmapsto -\dfrac{9}{4}[/tex]
Solve for x
Answer options:
A) 6
B) 3
C) 5
D) 4
Answer:
it should be 3
Step-by-step explanation:
I hope this help
A cylindrical vase has a diameter of 4 inches. At the bottom of the vase, there are 6 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 8 inches. Which of the following could be used to calculate the volume of water in the vase?
π(2in)^2(8in) − 6(four over threeπ(1.5in)^3)
π(8in)^2(2in) − 6(four over threeπ(1.5in)^3)
π(2in)^2(8in) − 1.5(four over threeπ(6in)^3)
π(8in)^2(2in) − 1.5(four over threeπ(6in)^3)
The volume of the water is: [tex]\pi (2)^2(8) - 6 (\frac{4}{3} \pi (1.5)^3)[/tex]
The volume of a cylinder is;
[tex]V = \pi r^2h[/tex]
For the cylinder, we have:
[tex]d = 4[/tex] -- diameter
[tex]h = 8[/tex] --- height of the water in the cylinder
The radius of the cylinder is:
[tex]r =d/2 = 4/2 = 2[/tex]
So, the volume is:
[tex]V = \pi * 2^2 * 8[/tex]
[tex]V = \pi * (2)^2 (8)[/tex]
For the 6 marbles, we have:
[tex]d = 3[/tex] --- the diameter of each
The shape of the marble is a sphere. So, the volume of 1 marble is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
The radius of 1 marble is:
[tex]r = d/2 = 3/2 = 1.5[/tex]
So, the volume of 1 marble is:
[tex]V_1 = \frac{4}{3} * \pi * (1.5)^3[/tex]
Multiply both sides by 6 to get the volume of the 6 marbles
[tex]6 * V_1 = 6 * \frac{4}{3} * \pi * (1.5)^3[/tex]
[tex]6V_1 = 6 * \frac{4}{3} * \pi * (1.5)^3[/tex]
[tex]6V_1 = 6 (\frac{4}{3} \pi (1.5)^3)[/tex]
Recall that the volume of the cylinder is:
[tex]V = \pi * (2)^2 (8)[/tex]
The volume of the water in the marble is the difference between the volume of the cylinder and the volume of the 6 marbles
So, we have:
[tex]Volume = \pi (2)^2(8) - 6 (\frac{4}{3} \pi (1.5)^3)[/tex]
The expression [tex]V = \pi \cdot (2\,in)^{2}\cdot (8\,in) -6\cdot \left[\frac{4\pi}{3}\cdot (1.5\,in)^{3} \right][/tex] can be used to calculate the volume of water in the vase.
As vase is of cylindrical form and the six marbles are spherical, we shall derived an expression from volume formulas respective to Cylinder and Spheres. Firstly, we know that volume of water in the vase is equal to the Volume of the vase minus the volume occupied by the six marbles, that is to say:
[tex]V = V_{v}-6\cdot V_{m}[/tex] (1)
Where:
[tex]V_{v}[/tex] - Volume of the vase, in cubic inches.
[tex]V_{m}[/tex] - Volume of the marble, in cubic inches.
[tex]V[/tex] - Volume of water in the vase, in cubic inches.
Then, we expand (1) by volume formulas for the cylinder and sphere:
[tex]V = \pi\cdot R^{2}\cdot H - 6\cdot \left(\frac{4\pi}{3} \cdot r^{3} \right)[/tex] (2)
Where:
[tex]R[/tex] - Radius of the vase, in inches.
[tex]H[/tex] - Height of the vase, in inches.
[tex]r[/tex] - Radius of the marble, in inches.
If we know that [tex]R = 2\,in[/tex], [tex]H = 8\,in[/tex], [tex]r = 1.5\,in[/tex], then the following expression can be used to calculate the volume of water in the base:
[tex]V = \pi \cdot (2\,in)^{2}\cdot (8\,in) -6\cdot \left[\frac{4\pi}{3}\cdot (1.5\,in)^{3} \right][/tex]
In a nutshell, the expression [tex]V = \pi \cdot (2\,in)^{2}\cdot (8\,in) -6\cdot \left[\frac{4\pi}{3}\cdot (1.5\,in)^{3} \right][/tex] can be used to calculate the volume of water in the vase.
Suppose A is the sum of the first 50 consecutive multiples of 3, and B is the sum of the first 50 consecutive multiples of 6. What percent of A is B ?
E. 50%
F. 75%
G. 100%
H. 200%
The correct answer is H. B is the 200% of A.
Since A is the sum of the first 50 multiples of 3, while B is the sum of the first 50 multiples of 6, to determine what percentage of A is B, the base numbers of both calculations must be considered, that is, 3 and 6. Thus, since 6 is 200% of 3 (6/3 = 2), B is 200% of A.
Learn more about percentages in https://brainly.com/question/18925632.
find the derivative of y=(x³-5)⁴(x⁴+3)⁵
Answer:
[tex]12x^{2} (x^{3}-5)^{3} (x^{4}+3)^{5} +20x^{3} (x^{3}-5)^{4} (x^{4}+3)^{4}[/tex]
Step-by-step explanation:
A deli sandwich shop is offering either a ham or turkey sandwich, either tomato or vegetable soup, and either coffee or milk for their lunch special. Which tree diagram below shows all of the combinations for a sandwich, soup, and beverage?
Answer:
A.
Step-by-step explanation:
A. is the answer because they list all of the sandwiches, soups, and beverages with every possible combination.
Naval intelligence reports that 99 enemy vessels in a fleet of 1818 are carrying nuclear weapons. If 99 vessels are randomly targeted and destroyed, what is the probability that no more than 11 vessel transporting nuclear weapons was destroyed
Answer:
0.001687 = 0.1687% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
Step-by-step explanation:
The vessels are destroyed and then not replaced, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
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.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
Fleet of 18 means that [tex]N = 18[/tex]
9 are carrying nuclear weapons, which means that [tex]k = 9[/tex]
9 are destroyed, which means that [tex]n = 9[/tex]
What is the probability that no more than 1 vessel transporting nuclear weapons was destroyed?
This is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
In which
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 0) = h(0,18,9,9) = \frac{C_{9,0}*C_{9,9}}{C_{18,9}} = 0.000021[/tex]
[tex]P(X = 1) = h(1,18,9,9) = \frac{C_{9,1}*C_{9,8}}{C_{18,9}} = 0.001666[/tex]
Then
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.000021 + 0.001666 = 0.001687[/tex]
0.001687 = 0.1687% probability that no more than 1 vessel transporting nuclear weapons was destroyed.
Please look below (Please Explain and NO LINKS)
Answer:
Mean = Sum of all numbers divided by the amount of numbers
[tex]Mean/Average=\frac{3+1+1.5+1.25+2.25+4+1+2}{8} =\frac{16}{8} =2[/tex]
Median = the middle number when the ordered from least to greatest.
From least to greatest: [tex]1, 1, 1.25, 1.5, 2, 2.25, 3, 4[/tex]The two middle numbers are 1.5 and 2.If there are two middle numbers, find the mean/average of those numbers:
[tex]\frac{1.5+2}{2} =\frac{3.5}{2} =1.75[/tex]
Therefore, the answer would be:
Mean = 2Median = 1.75The population model given dP/dt â P or dP dt = kP (1)
fails to take death into consideration; the growth rate equals the birth rate. In another model of a changing population of a community it is assumed that the rate at which the population changes is a net rate that is, the difference between the rate of births and the rate of deaths in the community. Determine a model for the population P(t) if both the birth rate and the death rate are proportional to the population present at time t > 0.
Answer:
.
Step-by-step explanation:
A city has a population of 220,000 people suppose that each year the population grows by 8.75% what will the population be after 12 years
find two ordered pairs for x-4y=2
Answer:
x-4y=2 can be written as y=(x-2)/4
(2,0) when x=2, y=0 and (6,1) when x=6, y=1
Can I get some help with this question?
Answer:
18
Step-by-step explanation:
Because angle A and C are equal, it is an isoceles traingle.
This means that side BA is equal to side BC.
Thus, you can set 6x equal to 3x + 9.
Solving that gives you x = 3.
6(3) = 18 3(3) +9 = 18
Answer:
B. 18
Step-by-step explanation:
Since angles A and C are congruent, then sides BA and BC are congruent.
6x = 3x + 9
3x = 9
x = 3
AB = 6x = 6(3) = 18
Answer: B. 18
I need help please thank you
Answer:
A
Step-by-step explanation:
in the question given, the goal is to rationalize the denominator, or in other words get rid of any square roots.
recall this formula :
(a-b)(a+b) = a^2 - b^2
in this case, to rationalize the denominator of 3 - [tex]\sqrt{6x}[/tex] , we will multiply it and the numerator by its conjugate. the conjugate of 3 -
after multiplying the denominator by its conjugate, we get:
(3 - [tex]\sqrt{6x}[/tex]) (3 +
at this point there is no need to solve the numerator as there is only one answer with this denominator.
hope this helps :)
Answer:
Step-by-step explanation:
HELLO PLEASE HELP??
which equation represents the circle described? 1. the radius is 2 units 2. the center of the circle is at (5,-6) (x+5)^2+ (y- 6)^2 =4
(x - 5)^2 + ( y + 6)^2 = 4
(x + 5)^2 + (y - 6)^2 =2
(x - 5)^2 + (y + 6)^2 =2
Answer:
(x-5)^2 + (y+6)^2 = 4
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x-5)^2 + (y- -6)^2 = 2^2
(x-5)^2 + (y+6)^2 = 4
A spinner contains the numbers 1 through 50. What is the probability that the spinner will land on a number that is not a multiple of 8?
Answer:
22/25
Step-by-step explanation:
Multiples of 8 are 8,16,24,32,40,48
That means there are 6 multiples of 8
50 -6 = 44
There are 44 non multiples of 8
P( non multiples of 8) = non multiples of 8 / total
= 44/50
=22/25
Help me please and thank you
Answer:
D) 0.89
Step-by-step explanation:
round 0.885 to 0.89
Thank you for all the help guys
Answer:
a is the right answer thanksA manufacturer knows that their items have a normally distributed lifespan, with a mean of 5.8 years, and
standard deviation of 1.7 years.
The 10% of items with the shortest lifespan will last less than how many years?
Round your answer to one decimal place.
Answer:
Less than 3.6 years.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean of 5.8 years, and standard deviation of 1.7 years.
This means that [tex]\mu = 5.8, \sigma = 1.7[/tex]
The 10% of items with the shortest lifespan will last less than how many years?
Less than the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 5.8}{1.7}[/tex]
[tex]X - 5.8 = -1.28*1.7[/tex]
[tex]X = 3.6[/tex]
Less than 3.6 years.
HELP!!!!
Please help me!!
I need help!!
HELP!!!!
Answer:
Pretty sure it's A
Step-by-step explanation:
The x outside the parenthesis means that there's an x intercept at (0,0) and (x-3) means there's another one at (3,0)
Hi I need help with part c please and thank you so much if you can do so
For the hole in one pythagores theorem would work because a right angled triangle eill be formed and hole in one would be the hypotenuse which can be found using the theorem.
b²+p² = h²
Answered by Gauthmath must click thanks and mark brainliest
