Answer: 10 lego sets
Step-by-step explanation: The equation is 10X, 10 dollars times the amount of legos he is buying,
Solve for x. Type your answer as a number in the blank without "x=".
Applying the side-splitter theorem, the value of x in the image given is calculated as: x = 5.
How to Apply the Side-Splitter Theorem?The Side-Splitter Theorem states that if a line is drawn parallel to one side of a triangle and intersects the other two sides, the ratio of the length of the two segments of the divided sides is equal to the ratio of the lengths of the sides that form the two smaller triangles.
Using this theorem, we van apply it to solve for x in the image given:
24x/(24x - 50) = 84/49
Solve for x:
24x(49) = 84(24x - 50)
1,176x = 2,016x - 4,200
1176x - 2016x = -4200
-840x = -4,200
x = -4200/-840
x = 5
Learn more about the side-splitter theorem on:
https://brainly.com/question/10612748
#SPJ1
A number line going from negative 2 to positive 1. What is the correct order of the fractions from least to greatest? Point A: −11 3 Point B: −2 3 Point C: 1 3 Point D: −12 3 The correct order for the fractions is .
Answer:
D, A, B, C
Step-by-step explanation:
-12/3, or -4, is lowest
-11/3, or -3.6, is 0.3 more, therefore closer to 0.
-2/3, or -0.6, is much closer to 0, precisely 3 units closer.
1/3, or 0.3, is the only positive number, so it is the most amount.
Central Limit Theorem forms the foundation for the ___ branch of statistics
Central Limit Theorem forms the foundation for the inferential statistics branch of statistics
The Central Limit Theorem is a statistical concept that describes the behavior of the mean of a sufficiently large sample size drawn from any population with a finite mean and variance.
The Central Limit Theorem is a fundamental concept in statistics that states that, under certain conditions, the distribution of sample means approaches a normal distribution regardless of the shape of the population distribution. This theorem provides a basis for inferential statistics, which involves making inferences about a population based on a sample.
It allows us to use sample statistics to estimate population parameters with a certain level of confidence. This theorem has practical applications in many areas of research, such as in quality control, social sciences, and healthcare.
Learn more about Central Limit Theorem here
brainly.com/question/18403552
#SPJ4
( 24 – 59 ) – ( 48:2 -60)
Answer:
1
Step-by-step explanation:
Use PEMDAS rules to answer this.
Parentheses first:
[tex](24-59)=-35[/tex]
Division next:
[tex]48:2=24[/tex]
Subtraction:
[tex]24-60=-36[/tex]
Currently we have:
[tex](-35)-(-36)[/tex]
This becomes:
[tex]-35+36 = 1[/tex]
HELP IS VERY MUCH APPRECIATED
1.75 in or 1 3/4 in (which ever form you need it in)
youre given the diameter and so to find radius, you simply divide the diameter by 2.
Find the surface area of the rectangular prism.
The surface area of the rectangle prism is 96cm²
What is surface area of prism?A prism is a solid shape that is bound on all its sides by plane faces. The surface area of a prism is expressed as;
SA = 2B +pH
where B is the base area and p is the perimeter of the base and h is the height of the prism.
Base area = 4× 2 = 8cm²
perimeter of the base = 2(4+2) = 2× 8 = 16cm²
height = 5cm
therefore the surface area of the prism
= 2×8 + 5×16
= 16+80
= 96cm²
therefore the surface area of the prism is 96cm²
learn more about surface area of prism from
https://brainly.com/question/2468794
#SPJ1
You toss a coin 50 times and observe 35 heads. You can conclude that:Question 4 options:a) this coin is not fair, but is weighted to land heads-up.b) the true probability of getting a head on any random flip of this coin could be far from 0.70.c) the probability of getting a head on any random flip of this coin is 0.70.d) you are not very good at coin-flipping since you should get 25 heads if you're doing it correctly.
Answer: its b
Step-by-step explanation: all coins have a heads and tails so that takes out c.
d is just for jokes
a. a coin in a school problem is not gonna be wieghted.
The letters r and θ represent polar coordinates. Write the equation using rectangular coordinates (x, y).
r sin θ = 10
y = 10
x = 10
y = 10x
x = 10y
The equation r · sin θ = 10 in rectangular coordinates is equal to y = 10.
How to find the equation in rectangular coordinates
Herein we find the representation of a equation in polar coordinates, whose form in rectangular coordinates. This can be done by using the following definitions:
cos θ = x / r
sin θ = y / r
Where:
θ - Angle, in degrees. x, y - Legs of the right triangle.r - Hypotenuse of the right triangle.Then, the equation in polar coordinates is:
r · sin θ = 10
y = 10
To learn more on rectangular coordinates: https://brainly.com/question/29285264
#SPJ1
5 grams is how many ounces?
Hint: 1g≈0.035oz
Round your answer to the nearest tenth.
If [tex]5[/tex] grammes are rounded to the closest tenth, that would be [tex]0.175[/tex] ounces.
What are the ounces?The conversion factor that states [tex]1[/tex] gramme is about equivalent to [tex]0.035[/tex]ounces can be used to convert grammes to ounces.
we may multiply [tex]5[/tex] by [tex]0.035[/tex] to convert [tex]5[/tex] grammes to ounces:
[tex]5 grams \times 0.035 \ oz/gram = 0.175[/tex] ounces
It's vital to remember that the ratio of 1 gramme to [tex]0.035[/tex] ounces is merely an estimate; the precise ratio is 1 gramme to [tex]0.03527396195[/tex] ounces.
However, utilizing the streamlined conversion factor of [tex]1[/tex] gramme to [tex]0.035[/tex] ounces is accurate enough for the majority of routine uses.
Therefore,If [tex]5[/tex] grammes are rounded to the closest tenth, that would be [tex]0.175[/tex] ounces.
Learn more about ounces here:
https://brainly.com/question/29374025
#SPJ1
If 5c + 3c = 8c, why can you not write 5c + 3d as 8c or 8d or 8cd?
we cannot simply write equation 5c + 3d as 8c, 8d, or 8cd.
Explain variableA variable in mathematics is a symbol or letter that is used to indicate a quantity in a mathematical statement or equation that can have many values. It is a symbol that may be used to represent an arbitrary or undefined integer in algebraic expressions and equations.
In the equation 5c + 3c = 8c, we can combine the two terms on the left side because they have the same variable (c) and the same exponent (1).
However, in the expression 5c + 3d, the two terms have different variables (c and d) and cannot be combined in the same way. Therefore, we cannot simply write 5c + 3d as 8c, 8d, or 8cd.
If we want to simplify the expression 5c + 3d, we can only write it in its simplest form or factor it further if possible.
To know more about exponent, visit:
https://brainly.com/question/5497425
#SPJ1
Nicole the trainer has two solo workout plans that she offers her clients: Plan A and Plan B. Each client does either one or the other (not both. On Friday there were 6 clients who did Plan A and 2 who did Plan B. On Saturday there were 3 clients who did Plan A and 5 who did Plan B. Nicole trained her Friday clients for a total of 10 hours and her Saturday clients for a total of 10 hours. How long does each of the workout plans last?
The solution to the given problem of the unitary method comes out to be Plan A and Plan B thus lasting for a total of 1.25 hours each.
What is a unitary method?Finish the project using the tried-and-true basic methodology, the actual variables, and any pertinent knowledge you gain from the broad and specific questions. In response, customers might be given another opportunity to sample the expression the products. We'll miss out on important breakthroughs in programming comprehension if these changes don't take place.
Here,
Let's say that Plan A's duration is "a" hours and Plan B's duration is "b" hours.
=> Equation 1: 6a + 2b = 10.
=> Equation 2: 3a + 5b = 10.
To get rid of "a," multiply Equation 1 by 3 and Equation 2 by 6 and you get:
=> Equation 3: 18a + 6b = 30
=> Equation 4: 18a + 30b = 60
Equation 3 minus Equation 4 results in:
=> 24b = 30
When we multiply both sides by 24, we get:
=> b=30/24=5/4=1.25 hours.
The value of "b" can now be reinserted into Equation 3 to find "a":
=> 18a + 6(1.25) = 30
=> 18a + 7.5 = 30
=> 18a = 30 - 7.5
=> 18a = 22.5
When we multiply both sides by 18, we get:
=> if a = 22.5/18 then 1.25 hours.
Plan A and Plan B thus last for a total of 1.25 hours each.
To know more about the unitary method, visit:
https://brainly.com/question/28967228
#SPJ1
The actual dimensions of a rectangle are 10ft by8ft. David measures the sides to be 10.46 ft by 7.53 ft. In calculating the area, what is the relative error, to the nearest hundredth.
The relative error in calculating the area of the rectangle is 0.0155.
What is the relative error?The relative error means ratio of the absolute error of the measurement to the actual measurement.
The actual area of the rectangle is:
= 10 ft x 8 ft
= 80 sq ft
The measured area is:
= 10.46 ft x 7.53 ft
= 78.7638 sq ft
The relative error derive by the following formula:
= (Real - Measured)/Real
= (80 - 78.7638)/80
= 0.0154525
= 0.0155.
Read more about relative error
brainly.com/question/30403282
#SPJ1
a. This dot plot shows the ages of students in a swimming class. How many students
are in the class?
Based on the dot plot, do you agree with each of the following statements? Explain
your reasoning.
b. The class is an adult swimming class.
C. Half of the students are between 2 and 3 years old.
a). There are a total of 10 students in the class, according to the dot plot.
b). The students' ages, which vary from 1 to 5, indicate that this is not an adult swimming lesson.
c). Thus, just 20% (2/10) of the students are toddlers or preschoolers.
What is number?Numbers are mathematical units of measurement and labelling. It is an ethereal idea that can stand in for many different material quantities, including time, money, and distance. Real numbers, complex numbers, and even irrational numbers can all be considered numbers in mathematics.
Numbers are frequently employed in mathematical equations to express relationships and to represent data. They are also employed in the development of models, patterns, and data analysis.
a). There are a total of 10 students in the class, according to the dot plot.
b). The programme is a swimming lesson for adults.
No, it doesn't seem to be an adult swimming lesson based on the dot plot. The students' ages, which vary from 1 to 5, indicate that this is not an adult swimming lesson.
c). The majority of the students are between the ages of 2 and 3.
No, it doesn't seem like half of the students are between the ages of 2 and 3, according to the dot plot. There are two students who are two years old, one who is three, two who are four, and five who are five. Thus, just 20% (2/10) of the students are toddlers or preschoolers.
To know more about number click-
brainly.com/question/24644930
#SPJ1
IF 168=18 ⋅ x + 12 ⋅ 2x
what does x equal?
need help asap!!!!!!
Please and thank you!
Answer:i thing the anwser is 56
Step-by-step explanation:
Find the probability
The probability that point X is on segment DE is given as follows:
1/9.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The length of segment AE is given as follows:
28 - (-8) = 36 units.
The length of segment DE is given as follows:
28 - 24 = 4 units.
Hence the probability is given as follows:
p = 4/36
p = 1/9.
More can be learned about probability at https://brainly.com/question/24756209
#SPJ1
Question 85
The distance between the end of the water supply pipe and the sink should be how many times the diameter of the supply pipe?
a. 1-1/2
b. 2 c. 3
d. 4
The distance between the end of the water supply pipe and the sink should be 2 times the diameter of the supply pipe. Option B is the correct answer.
The distance between the end of the water supply pipe and the sink is determined by plumbing codes and standards to ensure safe and efficient water delivery.
The National Standard Plumbing Code requires a minimum distance of 2 times the diameter of the supply pipe between the end of the pipe and the nearest point of use, such as a faucet or sink.
This helps prevent any potential contamination from the supply pipe and ensures adequate flow and pressure for efficient operation.
Learn more about the diameter at
https://brainly.com/question/16938080
#SPJ4
part one complete the table then plot the ordered pairs on the coordinate plane make sure to label each point with its corresponding letter
The table of ordered pairs is completed below
Completing the table of ordered pairsHere is the completed table and plotted points:
Point x y (x,y)
A 4 9 (4,9)
B 6 3 (6,3)
C 1 3 (1,3)
D 8 7 (8,7)
E 8 9 (8,9)
To plot these ordered pairs on a coordinate plane, we need to draw the x and y axes, and label the units on each axis.
Then we can plot each point by starting at the origin (0,0) and moving horizontally (to the right if x is positive, or to the left if x is negative) and vertically (up if y is positive, or down if y is negative) to the corresponding point.
The points plotted on the coordinate plane are attached
Read more about coordinates at
https://brainly.com/question/30587266
#SPJ1
Complete questionComplete the table. Then, plot the ordered pairs on the coordinate plane. Make sure to label each point with its corresponding letter.
x y (x, y)
A 4 9
B 6 3
C 1 3
D 8 7
E 8 9
The perimeter of a rectangle is 24.
Write the function that describes its area in terms of one of the sides.
Answer:
2l + 2w = 24, so l + w = 12
A(l) = l(12 - l)
Which statement about this data set is true? {33, 34, 37, 37, 40, 42, 46, 49, 93} Question 1 options: There are no outliers. Therefore, any measure of center will represent the data best. The outlier is 93 is an outlier. Since an outlier exists, median and IQR are the best measures of center and variation to represent this data set. The outlier is 33 is an outlier. Since an outlier exists, mean and range are the best measures of center and variation to represent this data set. There are no outliers. Therefore, median and IQR are the best measures of center and variation to represent this data set.
Answer: The outlier is 93 is an outlier. Since an outlier exists, median and IQR are the best measures of center and variation to represent this data set
If a pattern repeats 5 times which is pentogon pentogon and so on what is the 18th term
To find the 18th term of a pattern that repeats 5 times (which is a pentagon), we need to divide 18 by 5, which gives us a quotient of 3 and a remainder of 3.
This means that the pattern repeats 3 times, and we need to find the 3rd term of the pattern after the third pentagon.
The third term of the pattern after the third pentagon would be the fourth pentagon in the sequence, since each pentagon consists of 5 terms. Therefore, the 18th term would be the third term of the fourth pentagon in the sequence, which is the 13th term overall.
So the 18th term in the sequence would be the 13th term of the pattern, which is another pentagon.
Learn more about pattern repeats: https://brainly.com/question/17386984
#SPJ11
annie sold her camers for $250 making a loss of 12% what price was the camera when annie bought it? round your answer to the nearest cent
Let's assume that the original price of the camera is x.
Since Annie sold the camera at a loss of 12%, the selling price is 88% of the original price.
So we can set up the equation:
0.88x = $250
To solve for x, we can divide both sides by 0.88:
x = $250 ÷ 0.88
x = $284.09
Therefore, the original price of the camera was $284.09.
A sailor can send messages by displaying flags of
different colors. He has a flag staff that has room for 3
flags. He has 4 flags that he can use for the top position,
3. flags that can be used for the middle position, and 2
flags that can be used for the bottom position. How many´
combinations of flag messages can be used?
Using combinations we know that 24 combinations of the flags can be used.
What are combinations?Combinations are mathematical procedures that count how many different ways a collection of items could be arranged when the order in which they are chosen is immaterial.
Combos' components can be chosen in any hierarchy.
Combinations and permutations can coexist.
The expression "Selection of things" refers to a circumstance in which the chronology of occurrences is unimportant.
So, we know that we have 3 types of flags which are:
4 flags for the top position.
3 flags for the middle position.
2 flags for the bottom position.
Now, different combinations would be:
4 * 3 * 2 = 24
Therefore, using combinations we know that 24 combinations of the flags can be used.
Know more about combinations here:
https://brainly.com/question/28065038
#SPJ1
Brad rolled a cube number cube 30 times and recorded the results in the tally chart below which what is the experimental probability of rolling a five
which method would be best to compare the spread of the frequency distributions for the two groups? explain your reasoning. calculate and compare spread using this method.
Standard deviation is the best method for comparing the spread of frequency distributions for two groups, as it provides an accurate and sensitive measure of variability.
To compare the spread of the frequency distributions for two groups, we can use the measure of variability called the standard deviation. The standard deviation provides a measure of how much the data points are spread out around the mean.
A smaller standard deviation indicates that the data points are clustered closely around the mean, whereas a larger standard deviation indicates that the data points are more spread out from the mean.
The reason why standard deviation is a good measure of spread is that it is sensitive to the distance between data points and the mean. Therefore, it provides an accurate measure of how much the data is spread out, regardless of the shape of the distribution.
To calculate the standard deviation, we first need to calculate the mean of each group, and then the difference between each data point and the mean, squared.
We then take the average of these squared differences and take the square root to get the standard deviation.
For example, suppose we have two groups of test scores:
Group A: 75, 80, 85, 90, 95
Group B: 60, 70, 80, 90, 100
To calculate the standard deviation for Group A, we first calculate the mean:
(75 + 80 + 85 + 90 + 95) / 5 = 85
Then we calculate the difference between each data point and the mean, squared:
(75 - 85)² = 100
(80 - 85)² = 25
(85 - 85)² = 0
(90 - 85)² = 25
(95 - 85)² = 100
Next, we take the average of these squared differences:
(100 + 25 + 0 + 25 + 100) / 5 = 50
Finally, we take the square root of this average:
√(50) = 7.07
Therefore, the standard deviation for Group A is 7.07. We can repeat these steps for Group B and compare the two standard deviations to determine which group has a larger spread.
Learn more about the frequency distributions at
https://brainly.com/question/14926605
#SPJ4
Fine the horizontal asymptote of the graph of y = -4x^6+6x +3/8x^2=9x+3
Answer:
There are different methods to find the horizontal asymptote of a function, but one common approach is to take the limit of the function as x approaches positive or negative infinity. If the limit exists and is a finite number, then that is the horizontal asymptote.
To apply this method to the given function:
y = (-4x^6+6x +3)/(8x^2+9x+3)
As x becomes very large (either positive or negative), the highest power of x in the numerator and denominator dominates the other terms. This is because exponential functions grow or shrink much faster than polynomials as x goes to infinity or negative infinity.
Therefore, we can simplify the function by dividing both numerator and denominator by x^6:
y = (-4 + 6/x^5 + 3/x^6)/(8/x^4 + 9/x^5 + 3/x^6)
As x approaches infinity, all the terms with negative powers of x go to zero, leaving:
y ≈ (-4 + 0 + 0)/(0 + 0 + 0)
This is an indeterminate form of 0/0, which suggests that we need to do more algebraic simplification. One way to do this is to factor out the highest power of x in both numerator and denominator:
y ≈ (-4/x^6 + 6/x^11)/(8/x^4 + 9/x^5 + 3/x^6)
y ≈ (-4/x^6)(1 - 6x^5)/(8/x^4)(1 + 9x/x^4 + 3/x^2)
Now, as x approaches infinity, the fraction becomes dominated by the leading terms:
y ≈ (-4/x^6)(-6x^5)/(8/x^4)(9x/x^4)
y ≈ (24/72)(1/x)
As x goes to infinity, 1/x goes to zero, so:
y ≈ 1/3x
Therefore, the horizontal asymptote of the graph of y = (-4x^6+6x +3)/(8x^2+9x+3) is y = 1/3x.
Diners choose one salad and one main from the options given in the table.
Vegan dishes are indicated with a (V).
Salad
Main
Fish and chips
Mozzarella salad (V) Cheese pizza (V)
Chicken salad Lamb chops
Tuna salad
Aubergine curry (V)
a) Work out the fraction of all the meal combinations which have at least
one vegan option.
b) Diners also choose one of 7 desserts options.
How many different three-course meal combinations are available?
O
[3]
[2]
a) The fraction of all the meal combinations which have at least one vegan option is 1/8.
b) There are 168 different three-course meal combinations available.
What is a fraction?A fraction is a way of representing a part or a ratio of a whole, using a numerator and a denominator separated by a slash ("/") or a horizontal line. The numerator represents the number of parts being considered, and the denominator represents the total number of equal parts that make up the whole.
According to the given information:
a) To work out the fraction of all the meal combinations which have at least one vegan option, we need to count the total number of meal combinations with at least one vegan option, and then divide it by the total number of meal combinations.
The vegan options in the table are:
Mozzarella salad (V)
Cheese pizza (V)
Aubergine curry (V)
There are a total of 4 salads (including the vegan salads) and 6 mains (including the vegan mains). So the total number of meal combinations without any restriction is 4 x 6 = 24.
Now, we can calculate the total number of meal combinations without any vegan option, which is 24 - 3 = 21 (since 3 options are vegan).
So, the fraction of all the meal combinations which have at least one vegan option is (total meal combinations - meal combinations without any vegan option) divided by total meal combinations:
= (24 - 21) / 24
= 3 / 24
= 1 / 8
Therefore, the fraction of all the meal combinations which have at least one vegan option is 1/8.
b) If diners also choose one of 7 dessert options, we can simply multiply the total number of meal combinations (24) by the number of dessert options (7) to get the total number of three-course meal combinations available:
24 x 7 = 168
So, there are 168 different three-course meal combinations available.
To know more about fraction visit: https://brainly.com/question/10354322
#SPJ1
The measure of an angle is 17.9°. What is the measure of its supplementary angle?
Answer:162.1
Step-by-step explanation:We know that the sum of supplementary angles is 180°Let the unknown angle be xThus,100° + x = 180°X = 180° – 100°X = 80°Hence, the unknown angle is 80 …I did it my own way ok…
4. Construct a circle with center V. Construct an equilateral triangle RST inscribed within the circle.
A circle with center V and an inscribed equilateral triangle RST.
What is circle?
A circle is a closed two-dimensional shape consisting of all the points that are equidistant from a given point, called the center.
To construct a circle with center V and an inscribed equilateral triangle RST, follow these steps:
Draw point V as the center of the circle.
From point V, draw a radius that will serve as one side of the equilateral triangle RST. Label the endpoint of this radius as point S.
Using a compass, draw a circle with center V and radius VS. This circle will intersect the radius VS at two points, label these points as R and T.
Draw segments RT and RS to complete the equilateral triangle RST.
Your construction should show a circle with center V and an inscribed equilateral triangle RST.
To learn more about circle visit:
https://brainly.com/question/24375372
#SPJ1
what determines the decision of whether to use a one-tailed test or a two-tailed test when testing hypotheses? group of answer choices the nature of the situation and what the researcher is trying to demonstrate the sample size relative to the population size the sample size and the estimated standard error the level of significance of the test
If the researcher is interested in testing if a particular value is either greater or smaller than the hypothesized value, then a one-tailed test is appropriate
The decision of whether to use a one-tailed test or a two-tailed test when testing hypotheses depends on the nature of the situation and what the researcher is trying to demonstrate. . If the researcher is interested in testing if a particular value is simply different from the hypothesized value, then a two-tailed test is appropriate. The level of significance of the test is also an important consideration, but it is not the primary determinant of whether to use a one-tailed or two-tailed test.
what is demonstrate?
To demonstrate means to show or prove something convincingly with evidence or argument. It is a way of providing support for a claim or idea.
To learn more about demonstrate visit:
brainly.com/question/29360620
#SPJ11