Answer:
27 studentsStep-by-step explanation:
Number of students = 226Number of buses = 8Students traveled in buses:
226 - 10 = 216Number of students in each bus:
216/8 = 27Students travelled in bus:-
\(\\ \rm\longmapsto 226-10=216\)
No of buses=8Students in each bus
\(\\ \rm\longmapsto \dfrac{216}{8}\)
\(\\ \rm\longmapsto 27\)
Help please, solve for x and y
Answer:
x = 8
y = 20
Step-by-step explanation:
To find x, you can divide the total perimeter (128) by 4 to get one side length of the square:
128 ÷ 4 = 32
Next, to get x, you solve the equation:
4x = 32
Divide by 4 on both sides:
x = 8
Then, to find y, you can use the properties of a square to know that all diagonals are equal. Therefore, since AC = 40 BD = 40 as well. You can divide 40 by 2 to get the length of BE, which is half as long as BD:
40 ÷ 2 = 20
y = 20
Therefore, x = 8 and y = 20.
I hope this helps!
1.Let x, y be any two numbers that satisfies the conditions x ≠0, y ≠0, and x 0
C.y/x>1
D.x/y<1
2.A pickup truck that can hold up to 3000 pounds is carrying a big machine that is 300 pounds and a few smaller ones that each weigh 60 pounds.
At least how many small machines can you fit so that it will not exceed the weight limit of the truck?
A.no more than 50
B.no less than 50
C.no less than 45
D.no more than 45
3.It usually takes Claude 40 minutes driving at 48 miles per hour to go from home to work. But due to road maintenance today, Claude has to take a detour, which makes the trip 8 miles longer than usual. What is the minimum speed Claude should travel so that he can reach the destination in less than 48 minutes?
A.30 miles per hour
B.56 miles per hour
C.50 miles per hour
D.64 miles per hour
*please make sure you answer all the questions please and thank you.
Answer:
x and y can be any two numbers greater than zero such that y is also greater than x
D.no more than 45
C.50 miles per hour
Step-by-step explanation:
Let the two numbers be such that x< y because we have been given y/x>1 and x/y< 1 .
Suppose we take y= 9 and x= 3 then
9/3 > 1
3>1
Also
3/9 < 1
1/3 < 1
x and y can be any two numbers greater than zero such that y is also greater than x
2. Total weight that can be carried is 3000 pounds.
The big machine is 300 pounds. The weight that the truck can carry beside the big machine is 3000-300= 2700 pounds.
The smaller machines weigh 60 pounds
The number of smaller machines that can be carried is 2700 ÷ 60= 45 other than the big machine.
3. Total distance = Speed * time
= 48 * (40/60) = 32 miles
New distance = 32+ 8= 40 miles
New time = 48 minutes
Speed = distance / time = 40/ 48/60= 50 miles per hour
2) Use the elimination method to solve for x and y.
equation 1: -x/3 - y/6 = -4
equation 2: -x/6 + y/2 = -9
solve for y _____
solve for x _____
Answer:
1: 2x + y = 24
2: x - 3y = 54
Step-by-step explanation:
Answer:
\( y = - 3. \\ x = - 13.5\)
Step-by-step explanation:
\(equation 1: -x/3 - y/6 = -4 \: \: = - \frac{x}{3} - \frac{y}{6} = - 4 \\ \\
equation 2: -x/6 + y/2 = -9 \: \: = - \frac{x}{6} + \frac{y}{2} = - 9 \\ \\ - \frac{x}{3} - \frac{y}{6} = - 4 \\ - 6x - 3y = - 72 ...(eq3.) \\ \\ - \frac{x}{6} + \frac{y}{2} = - 9 \\ - 2x + 6y = - 9...(eq4.) \\ \\ \\ 2 \times - 6x - 3y = - 72 ...(eq3.) = > - 6y = -1 44 \\6 \times - 2x + 6y = - 9...(eq4.)= > - 36y = -54 \\ - 6y - ( - 36y) = - 144 - ( - 54) \\ 30y = - 90 \\ y = - \frac{90}{30} \\ y = - 3. \\ x = - 13.5
\)
What is the radius of a sphere with a volume of 7961 cm", to the nearest tenth of a
centimeter?
Answer:
12.4 cm
Step-by-step explanation:
Use the sphere volume formula, V = \(\frac{4}{3}\)\(\pi\)r³
Plug in the volume and solve for r, the radius:
V = \(\frac{4}{3}\)\(\pi\)r³
7961 = \(\frac{4}{3}\)\(\pi\)r³
1900.55 = r³
12.39 = r
So, the radius of the sphere is approximately 12.4 cm
7
A (0, 2) and B (6,5) are points on the straight line ABCD.
Y
Not drawn
accurately
B (6,5)
(A (0, 2)
0
x
AB = BC = CD
Work out the coordinates of D.
Answer:
(12,8)
Julio is selecting a random sample of people to survey for a newspaper article. Which elements are important for Julio to consider when choosing a random sample
When selecting a random sample of people to survey, Julio should consider a few important elements. Firstly, he should ensure that his sample is representative of the population he is trying to study. This means that he should try to include a diverse range of people from different ages, genders, socioeconomic backgrounds, and so on.
Additionally, he should consider the size of his sample, as larger samples generally provide more accurate results. Finally, he should strive for a random sample, where each person in the population has an equal chance of being selected, to avoid bias and ensure that his results are generalizable to the larger population. In summary, when selecting a random sample for his survey, Julio should consider factors such as representativeness, sample size, and randomness to ensure accurate and reliable results.
1. Representativeness: Ensure the sample accurately represents the population he's studying, covering various demographics such as age, gender, and socioeconomic status.
2. Sample Size: Choose an appropriate sample size (e.g., 100 people) to ensure the survey results are statistically significant and minimize sampling error.
3. Randomization: Use a random selection method, like a random number generator or drawing names from a hat, to ensure each individual has an equal chance of being chosen.
4. Avoid Bias: Make sure the selection process is free from personal or external influence, so the sample remains truly random and unbiased.
By considering these elements, Julio can ensure his random sample provides accurate and reliable data for his newspaper article.
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find the missing value
well, the volume of that triangular prism will just be the area of the triangle times the length.
now, what's the area of that triangular face? well, let's say it has a base of "b" and a height of 3, whilst the prism has a length of 6, Check the picture below.
\(\stackrel{\textit{triangle's area}}{\cfrac{1}{2}(b)(3)}\stackrel{\textit{prism's length}}{(6)}~~ = ~~4\frac{1}{2}\implies 9b=\cfrac{9}{2}\implies b=\cfrac{9}{18}\implies b=\cfrac{1}{2}\)
Point P partitions the directed segment from A to B into 1:3 ratio. Q partitions the directed segment from B to A into a 1:3 ratio. Are P and Q the same point? Why or why not?
Answer:
Point Q is further from A than point P, therefore, they are not the same point
Step-by-step explanation:
The given information are;
Point P partitions the directed segment from A → B into the ratio of 1:3
Point Q partitions the directed segment from B → A into the ratio of 1:3
We note that the properties of a directed segment are that it has a length and direction with a defined starting or initial point.
Hence the two segments when arranged in the same direction are;
A B and B A
Hence point P is at a the point 1/(1 + 3) or 1/4 of AB or 1/4 times the length of AB from A
Point Q is at a the point 1/4 of B/A or 1/4 times the length of AB from B which is 3/4 times the length of AB from A
Therefore, point Q is further from A than point P which means they are not the same point.
Answer:
No, P is One-fourth the distance from A to B, and Q is One-fourth the distance from B to A.
Step-by-step explanation:
A scientist observes and counts 155 bacteria in a culture. Later, the scientist counts again and finds the number has increased by 40%.
Answer:217
Step-by-step explanation:
in a study of an anti-aging skin cream, 33 middled-aged women used it for 22 weeks. at the end of the experiment the skin of the subjects was examined an adjudged to show improvement (i) or no improvement (n). the results are in the table below. a. do the data provide enough evidence to conclude that the cream improved the skin of more than 60% of the women?
A significance level of 0.05, the critical value for the right-tailed test is z = 1.645.
To test if the data provides enough evidence to conclude that the cream improved the skin of more than 60% of the women, we can conduct a hypothesis test.
Let p be the true proportion of middle-aged women who show skin improvement after using the anti-aging skin cream.
The null hypothesis is: H0: p ≤ 0.6
The alternative hypothesis is: Ha: p > 0.6
We can use a one-tailed z-test for proportions to test this hypothesis, where the test statistic is given by:
z = (P - p0) / sqrt(p0 * (1 - p0) / n)
where P is the sample proportion, p0 = 0.6 is the null hypothesis value, and n = 33 is the sample size.
From the table, we see that 26 out of 33 women showed skin improvement after using the cream. Therefore, the sample proportion is:
P = 26 / 33 = 0.7879
Substituting the values, we get:
z = (0.7879 - 0.6) / sqrt(0.6 * 0.4 / 33) = 2.162
Using a significance level of 0.05, the critical value for the right-tailed test is z = 1.645.
Since the calculated test statistic (z = 2.162) is greater than the critical value (z = 1.645), we reject the null hypothesis and conclude that there is enough evidence to suggest that the cream improved the skin of more than 60% of the women.
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Which type of transformation could cause a change in the period of a tangent or cotangent function?.
There is one specific type of transformation that can cause a change in the period of a tangent or cotangent function, and that is a dilation.
A dilation is a transformation that stretches or compresses a function horizontally or vertically. When a tangent or cotangent function is dilated horizontally, the period of the function changes. The period of a tangent function is π, while the period of a cotangent function is also π.
If the function is dilated by a factor of k, then the new period will be π/k. This means that the function will oscillate faster if it is compressed horizontally (k > 1) and slower if it is stretched horizontally (k < 1). Therefore, it is important to consider the effects of dilations when analyzing the period of a tangent or cotangent function.
The type of transformation that could cause a change in the period of a tangent or cotangent function is called a "horizontal stretch" or "horizontal compression." These transformations affect the frequency of the function by scaling it horizontally, which in turn alters the period of the tangent or cotangent function.
In mathematical terms, the general form of a tangent function is y = A * tan(B(x - C)) + D, and for a cotangent function, it's y = A * cot(B(x - C)) + D. In these expressions, A represents the amplitude, B determines the horizontal stretch or compression, C is the phase shift, and D is the vertical shift.
The factor B directly affects the period of the function. For a tangent or cotangent function, the standard period is π. To find the new period after a horizontal transformation, you can use the formula: new period = (standard period) / |B|. Thus, by changing the value of B, the period of the tangent or cotangent function will be affected accordingly.
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_________ term is used to represent the percentage of time a specific result is expected to occur when the same basic procedure is repeated over and over again, where each repetition is independent.
Chance is a term used to represent the percentage of time a specific result is expected to occur when the same basic procedure is repeated over and over again, where each repetition is independent.
What is chance?Chance is a term that is used to describe the probability that a certain outcome will occur given a set of fundamental instructions repeated again with each repetition being independent.
Ultimately, this means the number of times a result of an event occurs when repeated over a number of times is chance.
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Find the solution to the system of the equations shown below:
y = - 4x + 11
y = 1/2x+ 2
a. (4,1)
b. (11, 2)
C. (2,3)
d. (3, 2)
Neil will pay 1/3 of a restaurant bill that is $72 including tax he decides to tip 20% on the amount he pays for the bill what is the total amount Neil will pay.Show your work
Answer:
Neil pays 1/3 of the total bill, which is 1/3 * 72 or 24. He then tips 20% of that which is 24 * 0.2 or 4.80. So in all he paid
24+4.80 or 28.80
whats the dimensions of a rectangle with area 33cm and perimeter 23cm
Answer:
5.5 by 6cm
Step-by-step explanation:
P=2x + 2y = 23
x+y= 11.5
y= 11.5 - x
x (11.5-x) =33
11.5x - x^2 = 33
( multiply by 2 to get rid of the decimal?)
23x -2x^2=66
23x-2x^2+66=0
(x-6)(2x - 11) = 0
sub. 6 into y=11.5-x=11.5-6=5.5
sub. 5.5, 5.5=11.5-x, x=11.5 - 5.5= 6
Therefore the dimensions of the rectangle are 6cm by 5.5cm.
hope u get an understanding from this!
Shashwat lent a sum of 44,000 to his friend Rahul at 10% p. a. After 25 year his friend paid him Rs. 40,000 with a cow, what was the cost of the cow?
The cost of the cow is Rs. 1,14,000.
To solve this problem
The loan's interest is determined as follows:
Interest is calculated as follows: Principal x Interest Rate x Time
where
Principal = 44,000 RupeesRate = 10% annuallyDuration: 25 yearsTherefore, the loan's interest is calculated as follows: Interest = 44,000 x 0.10 x 25 = Rs. 1,10,000
Shashwat received Rs. 40,000 from Rahul in addition to the price of the cow. This sum should equal the loan's principal + interest:
Principal + Interest = Rs. 44,000 + Rs. 1,10,000 = Rs. 1,54,000.
Thus, the price of the cow can be calculated by deducting Rs. 40,000 from the total:
The cow's price is = Rs. 1,54,00 - Rs. 40,000, = Rs. 1,14,000.
Therefore, the cost of the cow is Rs. 1,14,000.
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Who play's Little big snake "https://littlebigsnake.com/"
Answer:
I have never heard of it sorry
Answer:
i have
Step-by-step explanation:
Can someone please help me with this.
Miranda has $50 to buy 6 swim caps for the members of a swim team.
Which expression shows the amount of money she will have left if each swim cap costs c dollars?
Answer:
50÷6=8 R2
Step-by-step explanation:
8
6 ⟌50 R2
- 0
-------------
50
-48
--------------
2
So, Miranda will have $8 left to buy.
Subtract: 3.8 - 2.923. Explain in your own words how you would solve this, in detail, from start to finish.
Answer:
Step-by-step explanation:
3.8-2.923
Change to 3.800 to match the number of digits in the second number. Work from right to left. 3 minus 0 is 7. work our way over until the end. You should get 0.877 for an answer.
There is a leaky faucet in a bathroom, and Joey places a bucket underneath the faucet. After 23 of an hour, 18cup of water has been collected in the bucket. At what rate, in cups per hour, is water leaking from the faucet?
Answer:3/16
Step-by-step explanation:
You have to divide the fractions and make the answer a reciprocal.
Hope this helps!
A bag contains 10 red marbles, 15 yellow marbles, 5 green marbles, and 20 blue marbles. Five marbles are drawn
from the bag.
What is the approximate probability that exactly two of the five are blue?
O 1%
04%
O 36%
40%
Answer: The approximate probability that exactly two of the five are blue is 0.3641
Step-by-step explanation:
how many solutions are there to square root x =9
Answer:
There are 2 solutions to square root x = 9
They are 3, and -3
Step-by-step explanation:
The square root of x=9 has 2 solutions,
The square root means, for a given number, (in our case 9) what number times itself equals the given number,
Or, squaring (i.e multiplying with itself) what number would give the given number,
so, we have to find the solutions to \(\sqrt{9}\)
since we know that,
\((3)(3) = 9\\and,\\(-3)(-3) = 9\)
hence if we square either 3 or -3, we get 9
Hence the solutions are 3, and -3
Latoya builds a border for her strawberry plot, which is shaped like a square. All the sides measure 5 feet. How many feet of border does she need to buy?
The amount of feet of border that she needs to purchase is given as follows:
20 feet.
How to obtain the perimeter of a square?The perimeter of a square of side length s is given by the multiplication of four and the side length s, as follows:
P = 4s.
All the sides measure 5 feet, hence the parameter s is given as follows:
s = 5.
Then the perimeter of the square plot is given as follows:
P = 4 x 5
P = 20 feet.
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"A study conducted several years ago reported that 21% of public accountants changed companies within 3 years. The American Institute of CPAs would like to update the study. They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.
(Round up your answers to the next whole number.) Required: a. To update this study, how many public accountants should be contacted?"
Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.
Given Information :A study conducted several years ago reported that 21% of public accountants changed companies within 3 years.
The American Institute of CPAs would like to update the study.
They would like to estimate the population proportion of public accountants who changed companies within 3 years with a margin of error of 3% and a 95% level of confidence.
Required:a. To update this study, how many public accountants should be contacted? Solution: Given that: the percentage of public accountants changed companies within 3 years is 21%.The level of confidence is 95%.
The margin of error is 3%.We have to find out the sample size.To find the sample size we use the formula :n = [Z² x p x q ] / E²
Where, Z = Standard normal deviation corresponding to a 95% confidence level is 1.96.p = proportion = 21/100 = 0.21q = 1-p = 1-0.21 = 0.79E = margin of error = 3/100 = 0.03
Putting all the given values in the formula, we get:n = [1.96² x 0.21 x 0.79] / 0.03²On solving, we get,n = 2734.84 ≈ 2735Therefore, 2735 public accountants should be contacted to update the study with a margin of error of 3% and a 95% level of confidence. Answer: 2735.
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On a coordinate plane, a curved line with a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3) crosses the x-axis at (negative 4, 0) and crosses the y-axis at (0, negative 3).
Which statement is true about the graphed function?
F(x) < 0 over the interval (–∞, –4)
F(x) < 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –3)
F(x) > 0 over the interval (–∞, –4)
The statement that is true about the function is -
D: F(x) > 0 over the interval (-∞, -4)
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
Since the curved line has a minimum value of (negative 2.5, negative 12) and a maximum value of (0, negative 3), we know that the function must be decreasing from left to right over the interval from negative infinity to negative 2.5, then increasing from negative 2.5 to 0.
Since the graph crosses the y-axis at (0, negative 3), we know that the function takes the value of negative 3 when x equals 0.
Also, since the graph crosses the x-axis at (negative 4, 0), we know that the function takes the value of 0 when x equals negative 4.
Since the function is decreasing from negative infinity to negative 2.5, and the y-value of the curve is always negative, we know that F(x) < 0 over the interval (-∞, -2.5).
Since the function is increasing from negative 2.5 to 0, and the y-value of the curve is always negative, we know that F(x) < 0 over the interval (-2.5, 0).
Since the function takes the value of negative 3 when x equals 0, we know that F(0) = negative 3, which means that F(x) < 0 over the interval (-∞, 0).
Since the function takes the value of 0 when x equals negative 4, we know that F(-4) = 0, which means that F(x) > 0 over the interval (-∞,-4).
Therefore, F(x) > 0 over the interval (-∞, -4) is true.
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convert the following fractions so that the denominator is 100 11/25
Answer:
44/100
Step-by-step explanation:
To convert the denominator to 100, we multiply the fraction by 4/4:
11/25(4/4) = 44/100
Answer:
The answer is 44/100
Step-by-step explanation:
Multiply 25x4=100 so we know to multiply the numerator by 4 getting the answer 44
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what is a simpler form of the radical expression 4 sqrt 1296 x^16y^12
So, the simpler form of the radical expression 4 sqrt 1296 x^16y^12 is 144x^14y^14 sqrt (x) sqrt (y).
To simplify the radical expression 4 sqrt 1296 x^16y^12, we need to first factor the number inside the radical. 1296 can be factored into 36 x 36, which simplifies to 6^4. So, the expression becomes 4 sqrt (6^4 x^16y^12).
Next, we can simplify the expression further by using the property of exponents that says a^m x a^n = a^(m+n). This means that we can combine the exponents of x and y, which gives us 4 sqrt (6^4 x^(16+12) y^(12+16)). Simplifying this, we get 4 sqrt (6^4 x^28 y^28).
Now, we can simplify the radical expression even further by using the property that says sqrt (a x b) = sqrt (a) x sqrt (b). Applying this to our expression, we get 4 x 6^2 x sqrt (x^28) x sqrt (y^28). Simplifying this further, we get 144x^14y^14 sqrt (x) sqrt (y).
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Consider the statement, "If a number is triangular or square, then it is not prime" (a) Make a truth table for the statement (T V S) -P. (b) If you believed the statement was false, what properties would a counterexample need to possess? Explain by referencing your truth table. (c) If the statement were true, what could you conclude about the number 5657, which is definitely prime? Again, explain using the truth table.
Referring to the truth table, -P is false, and the only case with -P false is when both T and S are false.
This means that 5657 is not a triangular or square number.
(a) To create a truth table for the statement "If a number is triangular or square (T ∨ S), then it is not prime (-P)," we will have columns for T, S, T ∨ S, and -P.
Then we will consider all possible combinations of T and S (true and false) and fill out the remaining columns.
| T | S | T ∨ S | -P |
|-----|-----|-------|-----|
| T | T | T | T |
| T | F | T | T |
| F | T | T | T |
| F | F | F | F |
(b) If the statement were false, a counterexample would need to have T ∨ S true, but -P false.
In other words, a number that is either triangular or square, and also prime. However, no such counterexample exists in the table, indicating that the statement is true.
(c) Since the statement is true, knowing that 5657 is prime (P) allows us to conclude that it is neither triangular (T) nor square (S).
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Help help help help
Answer:
17 - 2= 15
so if you do
15 ÷ 3 = 5
so x= 5