The number of 1 inch cubes fit inside the right triangle rectangular prism with given dimensions is equal to 9.
Side length of cube = 1inch
Length of rectangular prism 'l' = 2 inches
Width of the rectangular prism 'w'= 1.5 inches
Height of the rectangular prism 'h' = 3 inches
The volume 'V' of the rectangular prism is given by the formula,
V = l × w × h
Substituting the given values, we get,
V = (2 in) x (1.5 in) x (3 in)
= 9 cubic inches
The volume of a 1-inch cube is,
Volume of the cube
= 1 in x 1 in x 1 in
= 1 cubic inch
Number of cubes fit inside right triangle rectangular prism
= Volume of the rectangular prism / volume of a 1-inch cube.
Substituting the values, we get,
= 9 cubic inches ÷ 1 cubic inch
= 9 cubes
Therefore, 9 1-inch cubes can fit inside the right triangle rectangular prism.
learn more about rectangular prism here
brainly.com/question/29165277
#SPJ4
Solve for x to make A||B. B 5x A x = [?] 55
The value of x will be equal to 11 unit.
We are given that A||B
There are two angles 5x and 55
Since corresponding means pair wise angles. Like the right corner angles of two triangles etc.
For two similar figures, the pair by pair similar angles of those two similar figures are called corresponding angles which are of same measurement.
Therefore, we know that by the corresponding angles
5x = 55
Solving for x we get;
x = 55/5
x = 11
Hence, the measure of x is 11.
Learn more about angles here:
https://brainly.com/question/2882938
#SPJ1
Max spent $41.95 on 7 items at the
drugstore. If Max only purchased lip gloss
for $5.32 per tube and nail polish for $6.89
per bottle, how many of each type of beauty
item did Max purchase?
Max purchased 4 lip gloss tubes and 3 nail polish bottles.
Let x be the number of lip gloss tubes purchased by Max and y be the number of nail polish bottles purchased by Max. Then we have:
[tex]x + y = 7[/tex](Max bought a total of 7 items)
[tex]5.32x + 6.89y = 41.95[/tex] (Max spent $41.95 in total)
To solve for x and y, we can use the first equation to express one variable in terms of the other and substitute that expression into the second equation. For example, we can solve for y in terms of x as follows:
[tex]y = 7 - x[/tex]
Substituting this into the second equation, we get:
[tex]5.32x + 6.89(7 - x) = 41.95[/tex]
Simplifying and solving for x, we have:
[tex]5.32x + 48.23 - 6.89x = 41.95\\-1.57x = -6.28\\x = 4[/tex]
So Max purchased 4 lip gloss tubes. Substituting this back into the first equation, we get:
[tex]4 + y = 7\\y = 3[/tex]
Therefore, Max purchased 4 lip gloss tubes and 3 nail polish bottles.
Learn more about proportionalities here:
https://brainly.com/question/3254974
#SPJ1
A large bucket contains 1 2/3 pounds of dough. How many loaves of bread can be made if you need 4/5 a pound of dough omf or each loaf?
We can make 3 loaves of bread with 1 2/3 pounds of dough.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
To find out how many loaves of bread can be made, we need to divide the total amount of dough by the amount of dough needed for each loaf.
The bucket contains 1 2/3 pounds of dough, which we can rewrite as an improper fraction:
1 2/3 = (3 x 1 + 2)/3 = 5/3
So, the bucket contains 5/3 pounds of dough.
Each loaf requires 4/5 of a pound of dough.
To find the number of loaves that can be made, we need to divide the total amount of dough by the amount of dough per loaf:
Number of loaves = Total amount of dough / Amount of dough per loaf
Number of loaves = (5/3) / (4/5)
To divide by a fraction, we can multiply by its reciprocal:
Number of loaves = (5/3) x (5/4)
Number of loaves = 25/12
Since we cannot make a fraction of a loaf, we need to round the result up to the nearest whole number.
Therefore,
We can make 3 loaves of bread with 1 2/3 pounds of dough.
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ1
Kaylee is 1.45 meters tall. At 3 p.m., she measures the length of a tree's shadow to be 39.55 meters. She stands 34.2 meters away from the tree, so that the tip of her shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
Answer:
Step-by-step explanation:
We can use the ratios of similar triangles to solve this problem. Let's call the height of the tree "h". Then, we have two similar right triangles:
Kaylee's triangle: the height is 1.45 meters, the length of the shadow is 34.2 meters, and the angle between the height and the shadow is theta.
Tree's triangle: the height is h meters, the length of the shadow is 39.55 meters, and the angle between the height and the shadow is also theta.
Using these two triangles, we can set up the following proportion:
h / 39.55 = 1.45 / 34.2
Cross-multiplying, we get:
h * 34.2 = 39.55 * 1.45
Simplifying:
h = (39.55 * 1.45) / 34.2
h = 1.68176
So the height of the tree is approximately 1.68 meters (to the nearest hundredth of a meter).
Which is most likely to weigh 2 pounds?
A. A mouse
B. A pencil
C. A dictionary
D. A school desk
Answer:
A) A pencil.
This means it would be best measured in grams. The answer is the pencil and it would be best measured in grams.
5) 388 what the answer
Answer:
842.87 (rounded to 2 dp)
Step-by-step explanation:
Dunno just blag it
If the mean height is 180cm and the standard deviation is 4. What percentage of the population would lie between 176cm and 180cm?
A.50%
B.68%
C.95%
D.34%
We can start by using the standard normal distribution to find the z-scores for the two heights:
z1 = (176 - 180) / 4 = -1
z2 = (180 - 180) / 4 = 0
Then, we can use a standard normal distribution table or a calculator to find the area under the curve between these two z-scores. From a table, we find that the area to the left of -1 is 0.1587 and the area to the left of 0 is 0.5. Therefore, the area between -1 and 0 is:
0.5 - 0.1587 = 0.3413
To find the percentage of the population, we can convert this decimal to a percentage by multiplying by 100:
0.3413 x 100 = 34.13%
Therefore, approximately 34.13% of the population would lie between 176cm and 180cm in height.
A sprinkler watering a lawn rotates through 120°. The distance from the sprinkler to the farthest point reached by the water is 9 meters. Approximately how many square meters of the field are being watered? Round to the nearest tenth.
A sprinkler rotates across 120 degrees while watering a landscape. The sprinkler is 9 meters away from the farthest point reached by the water. The area of field watered is 84.848 m².
We need to locate the region of the grass that has been watered by the sprinkler.
We have a 9-meter distance and a 120-degree angle.
To begin, use the following formula to convert a given angle from degrees to radians:
radians = degree × π/180
= 120 × π/180
= π × 2/3
= 2π / 3
= 2.095 approx.
As a result, the formula for the area of the grass formed by water is:
A= 1/2 × r² × 2.095
and because the radius is r=9 meters, the area equals:
A= 1/2 × 9² × 2.095
= 1/2 × 81 × 2.095
= 84.848 approx.
= 84.848 m².
To know more about area of field watered:
https://brainly.com/question/31078201
#SPJ1
based on past experiences, miss olenik knows that 15 of the mistakes on the essays she grades are grammar mistakes, 18 of the mistakes are spelling mistakes, and 112 of the mistakes are both grammar and spelling mistakes. if an essay is selected at random, what is the probability that the essay contains a grammar mistake or a spelling mistake? responses
The probability that the essay contains a grammar mistake or a spelling mistake is 11/32
To find the probability that an essay contains a grammar mistake or a spelling mistake, we need to add the probabilities of the essay containing only a grammar mistake, only a spelling mistake, and both a grammar and spelling mistake.
Let's first find the probability of an essay containing only a grammar mistake. From the given information, we know that 1/5 of the mistakes on the essays are grammar mistakes. So, the probability of an essay containing only a grammar mistake is
1/5 - 1/12 = 7/60
The subtraction of 1/12 is necessary because we don't want to count the mistakes that are both grammar and spelling mistakes twice.
Similarly, the probability of an essay containing only a spelling mistake is:
1/8 - 1/12 = 5/96
Again, we subtract 1/12 because we don't want to count the mistakes that are both grammar and spelling mistakes twice.
Finally, the probability of an essay containing both a grammar and spelling mistake is
1/12
Now, we can add these probabilities to find the probability that an essay contains a grammar mistake or a spelling mistake
7/60 + 5/96 + 1/12 = 11/32
Learn more about probability here
brainly.com/question/11234923
#SPJ4
The given question is incomplete, the complete question is:
Based on past experiences, Miss Olenik knows that 1/5 of the mistakes on the essays she grades are grammar mistakes, 1/8 of the mistakes are spelling mistakes, and 1/12 of the mistakes are both grammar and spelling mistakes. If an essay is selected at random, what is the probability that the essay contains a grammar mistake or a spelling mistake?
PROBLEM SOLVING Write the function represented by the graph in intercept form.
A function with turning points is graphed on a coordinate plane. The curve of the function emerge from the point at ordered pair negative 5.8 comma negative 160 and passes through the points negative 5 comma 0 and the first turning point at ordered pair negative 3.8 comma 95. The curve passes through the point at ordered pair negative 2 comma 0, and the second turning point at ordered pair negative 1.4 comma 35. The curve passes through the point at ordered pair 0 comma negative 32, ordered pair 1 comma 0 and the third turning point at ordered pair 2.5 comma 40. The curve passes through the point at ordered pair 4 comma 0 and the fourth turning point at ordered pair 6.5 comma 200. The curve passes through the point at ordered pair 8 comma 0 and the continues upward.
$f\left(x\right)=$
The function represented by the graph in intercept form is:
f(x) = -0.00038(x + 5.8)(x + 5)(x + 2)(x - 1)(x - 4)
We have,
To write the function represented by the graph in intercept form, we need to find the x and y intercepts and write the function as a product of linear factors.
From the graph and the given points, we can see that the function has
4 x-intercepts at -5, -2, 1, and 4.
We can also see that the function has 3 turning points at (-3.8, 95), (-1.4, 35), and (2.5, 40).
To find the y-intercept, we can use the point (-5.8, -160), which the curve emerges from.
This means that the function can be written in the form:
f(x) = a(x + 5.8)(x + 5)(x + 2)(x - 1)(x - 4)
where a is a constant to be determined.
To find the value of a, we can use any of the given points that lie on the curve. Let's use the point (-3.8, 95):
95 = a(-3.8 + 5.8)(-3.8 + 5)(-3.8 + 2)(-3.8 - 1)(-3.8 - 4)
Simplifying and solving for a, we get:
a = -95/((5.8)(3)(0.8)(4.8)(7.8)) ≈ -0.00038
Therefore,
The function represented by the graph in intercept form is:
f(x) = -0.00038(x + 5.8)(x + 5)(x + 2)(x - 1)(x - 4)
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ1
Lila plays skee ball with her friends after school on Mondays and Wednesdays. Each time she rolls a ball, she can earn 10, 20, 30, 40, 50, or 100 points. Lila collected a random sample of ten rolls from each day that she played skee ball this week. The data is shown in the table. Monday Wednesday +/- 10 20 30 40 50 100 2 3 3 1 1 0 3 1 4 1 0 1 What is the difference in the mean number of points that Lila scored on Monday and Wednesday?
Answer:
Step-by-step explanation:
what is the equation for determining the probability of two independent events occurring at the same time?the probability that at least one of the two independent events occurs
The equation for determining the probability of two independent events occurring at the same time is, P(A and B) = P(A) * P(B). The probability that at least one of the two independent events occurs is, P(A or B) = 1 - (P(not A) * P(not B)).
The equation for determining the probability of two independent events occurring at the same time is the product of their individual probabilities. For independent events A and B, the equation is:
P(A and B) = P(A) * P(B)
To find the probability that at least one of the two independent events occurs, you can use the complement rule. First, calculate the probability that neither event occurs (i.e., both events don't occur), and then subtract that from 1:
P(A or B) = 1 - P(not A and not B)
Since A and B are independent, the equation for the probability of neither event occurring is:
P(not A and not B) = P(not A) * P(not B)
So the final equation for the probability that at least one of the two independent events occurs is:
P(A or B) = 1 - (P(not A) * P(not B))
Know more about probability here:
https://brainly.com/question/13604758
#SPJ11
Find an angle in each quadrant with a common reference angle with 162°, from
0°≤0<360°
The angles with a common reference angle of 18° in each quadrant will be 18° in the first quadrant, 162° in the second quadrant, 198° in the third quadrant, and 342° in the fourth quadrant.
Given that:
Interval of angle, 0° ≤ θ < 360°
Now we can use the reference angle to find an angle in each quadrant:
For the first quadrant, the angle θ is calculated as,
θ = 162° - 180° = 18°
For the second quadrant, the angle θ is calculated as,
θ = 180° - 18° = 162°
For the third quadrant, the angle θ is calculated as,
θ = 180° + 18° = 198°
For the fourth quadrant, the angle θ is calculated as,
θ = 360° - 18° = 342°
Therefore, the angles with a common reference angle of 18° in each quadrant are:
18° in the first quadrant162° in the second quadrant198° in the third quadrant342° in the fourth quadrantMore about the angled link is given below.
https://brainly.com/question/15767203
#SPJ1
7(3x + 2) - 11x > 54
Answer:
x>4
Step-by-step explanation:
3-
Nehal Kafle
7(3x + 2) - 11x > 54
To solve the inequality 7(3x + 2) - 11x > 54, we need to simplify and isolate the variable on one side of the inequality sign.
First, we distribute the 7 on the left side:
21x + 14 - 11x > 54
Next, we combine like terms:
10x + 14 > 54
Then, we subtract 14 from both sides:
10x > 40
Finally, we divide both sides by 10:
x > 4
Therefore, the solution to the inequality 7(3x + 2) - 11x > 54 is x > 4.
At Jefferson High school there are 250 students who drive to school and 375 students who ride the bus to school. The number of students who drive to school is blank% of the number of students who ride the bus to school.
Answer:66.67%
Step-by-step explanation: At Jefferson High School, there are 250 students who drive to school and 375 students who ride the bus to school. To find the percentage of students who drive to school compared to the number of students who ride the bus to school, we can divide the number of students who drive to school by the number of students who ride the bus to school and multiply by 100%:
(250 / 375) * 100% = (2/3) * 100% = 66.67%
So the number of students who drive to school is 66.67% of the number of students who ride the bus to school. Is there anything else you would like to know?
Received message. At Jefferson High School, there are 250 students who drive to school and 375 students who ride the bus to school. To find the percentage of students who drive to school compared to the number of students who ride the bus to school, we can divide the number of students who drive to school by the number of students who ride the bus to school and multiply by 100%: `(250 / 375) * 100% = (2/3) * 100% = 66.67%` So the number of students who drive to school is **66.67%** of the number of students who ride the bus to school. Is
HELP ASAP! DUE TODAY.
The correct answer is option (B) [tex]\frac{5}{8}x - 6\frac{1}{2}[/tex] when [tex]\frac{5}{8}x +1\frac{1}{3}[/tex] is subtracted from [tex]1\frac{1}{4} x -5\frac{1}{6}[/tex] . Both values are in mixed fraction.
Define mixed fraction ?
A mixed fraction is a mathematical expression that represents a whole number and a fraction together. It is also called a mixed number. In a mixed fraction, the whole number is written first, followed by a space and then the fraction. The fraction represents a part of the whole number, with the numerator (top number) indicating the number of parts and the denominator (bottom number) indicating the total number of parts.
To subtract [tex]\frac{5}{8}x +1\frac{1}{3}[/tex] from [tex]1\frac{1}{4} x -5\frac{1}{6}[/tex] , we can simplify both terms to have a common denominator. The common denominator is 24. Then we have
[tex]1\frac{1}{4}x - 5\frac{1}{6} - \left(\frac{5}{8}x + 1\frac{1}{3}\right)[/tex]
[tex]= \frac{5}{4}\cdot\frac{6}{6}x - \frac{31}{6}\cdot\frac{4}{4} - \frac{15}{24}x - \frac{32}{24}[/tex]
[tex]= \frac{30}{24}x - \frac{124}{24} - \frac{15}{24}x - \frac{32}{24}[/tex]
[tex]= \frac{15}{24}x - \frac{156}{24}[/tex]
[tex]= \frac{5}{8}x - \frac{13}{2}[/tex]
[tex]= \frac{5}{8}x - 6\frac{1}{2}[/tex]
Therefore, the correct answer is option B [tex]\frac{5}{8}x - 6\frac{1}{2}[/tex] .
To learn more about denominator visit the link :
https://brainly.com/question/7067665
#SPJ1
A polynomial function of degree n has at most _____ real zeros and at most _____ turning points.
A polynomial function of degree n has at most n real zeros and at most n - 1 turning points.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
A polynomial function
Now,
Because of the Fundamental Theorem of Algebra states that a polynomial function of degree n has exactly n complex roots (or zeros), some of which may be repeated or non-real. The number of real roots is equal to or less than the number of complex roots.
A turning point is a point where the graph of the polynomial function changes direction from increasing to decreasing or vice versa. The number of turning points is equal to or less than one less than the degree of the polynomial function. This is because each turning point corresponds to a change in the sign of the first derivative of the function, and the first derivative is a polynomial function of degree n - 1.
Therefore, by the function the answer will be n - 1.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ1
The coordinate grid shows the plot of four equations: A coordinate grid is shown from negative 12 to positive 12 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 3, 4 and 9, negative 2. Line B passes through the ordered pairs 2, 8 and 8, negative 8. Line C passes through the ordered pairs negative 3, negative 4 and 4, 6. Line D passes through the points 2, negative 2 and 5 and 6. Which set of equations has (4, 3) as its solution? (1 point) a A and D b B and D c A and C d B and C
The coordinates (4, 3) is not a solution of any equation of straight lines.
We know that the two points equation of the line passing through points (a, b) and (c, d) is:
(y - b)/(x - a) = (b - d)/(a - c)
For Line A:
Line A passes through (-3, 4) and (9, -2) so the equation of the line is,
(y - 4)/(x - (-3)) = (4 - (-2))/(-3 - 9)
(y - 4)/(x + 3) = 6/(-12)
(y - 4)/(x + 3) = -1/2
2y - 8 = -x - 3
x + 2y = 8 - 3
x + 2y = 5 ............... (i)
For Line B:
Line B passes through (2, 8) and (8, -8) so the equation of the line is,
(y - 8)/(x - 2) = (8 - (-8))/(2 - 8)
(y - 8)/(x - 2) = 16/(-6)
(y - 8)/(x - 2) = -8/3
3y - 24 = 16 - 8x
8x + 3y = 24 + 16
8x +3y = 40 ............................ (ii)
For Line C:
Line C passes through (-3, -4) and (4, 6) so the equation of the line is,
(y - (-4))/(x - (-3)) = (-4 - 6)/(-3 - 4)
(y + 4)/(x + 3) = (-10)/(-7)
(y + 4)/(x +3) = 10/7
7y + 28 = 10x + 30
7y - 10x = 30 - 28
7y - 2x = 2 ................. (iii)
For Line D:
Line D passes through (2, -2) and (5, 6) so the equation of the line is,
(y - (-2))/(x - 2) = (-2 - 6)/(2 - 5)
(y + 2)/(x - 2) = (-8)/(-3)
(y + 2)/(x - 2) = 8/3
3y + 6 = 8x - 16
8x - 3y = 16 - 6
8x - 3y = 10
The given point is (4, 3):
For equation (i): 4 + 2*3 = 4 + 6 = 10 ≠ 5
For equation (ii): 8*4 + 3*3 = 24 + 9 = 33 ≠ 40
For equation (iii): 7*3 - 2*4 = 21 - 8 = 13 ≠ 2
For equation (iv): 8*4 - 3*3 = 32 - 9 = 24 ≠ 10
Hence it does not satisfy either equations or lines.
To know more about straight lines here
https://brainly.com/question/29223887
#SPJ1
please help solve if ur good at graphs
Given the following graph determine: (6 marks) a. y – intercept b. roots c. vertex d. direction of opening e. axis of symmetry f. state if there is a max. or min. and give the value
The key features of the given function include the following:
y-intercept = (0, 0).roots: x = -4 and x = 0.Vertex = (-2, 4)Direction of opening: downward.Axis of symmetry: x = -2.There is a maximum (max) at 4.What is the vertex form of a quadratic equation?In Mathematics and Geometry, the vertex form of a quadratic equation is modeled by this formula:
f(x) = a(x - h)² + k
Where:
h and k represents the vertex of the graph.a represents the leading coefficient.Based on the information provided about the graph of this quadratic equation, we can reasonably infer and logically deduce that its vertex can be determined as follows:
0 = a(0 + 2)² + 4
0 = 4a + 4
a = -1
f(x) = -(x + 2)² + 4
Vertex, (h, k) = (-2, 4)
Axis of symmetry, Xmax = -2.
Read more on vertex here: brainly.com/question/14946018
#SPJ1
the magnitude of earthquakes recorded in a region of north america can be modeled as having an exponential distribution with mean 2.4, as measured on the richter scale. find the probability that an earthquake striking this region will exceed 5.0 on the richter scale.
The probability that an earthquake striking this region will exceed 5.0 on the richter scale is approximately 0.121 or 12.1%.
To find the probability that an earthquake striking this region will exceed 5.0 on the richter scale, we need to use the cumulative distribution function (CDF) of the exponential distribution.
The CDF of the exponential distribution is given by:
[tex]F(x) = 1 - e^{(-\lambda x)}[/tex]
where λ is the rate parameter, which is equal to 1/mean for the exponential distribution.
So in this case, λ = 1/2.4 = 0.4167.
To find the probability that an earthquake will exceed 5.0 on the richter scale, we need to calculate:
P(X > 5) = 1 - P(X ≤ 5)
= 1 - F(5)
= [tex]1 - (1 - e^{(-0.4167*5))[/tex]
=[tex]e^{(-2.0835)[/tex]
= 0.121
Therefore, the probability that an earthquake striking this region will exceed 5.0 on the richter scale is approximately 0.121 or 12.1%.
Learn More about probability
https://brainly.com/question/24756209
#SPJ4
Consider the equation 8 + x = n. What must be true about any value of x if n is a negative number?
What is the perimeter , in inches, of a rentangle with an area of 108 inches if it’s width 3 times it’s length ?
Answer:
Step-by-step explanation:
A=wl
P=2(l+w)
Width,3
if a machine working at a constant rate makes 3313 aluminum cans each second, how many hours will it take for the machine to make 612,000 cans?
The required answer of the word problem is the machine requires 0.051 hours to make 612000 aluminum cans.
The given question is a word problem which can be calculated as,
A machine working at a constant rate makes 3313 aluminium cans in one second.
Therefore, one aluminum can be produced in = 1/ 3313 seconds.
The machine makes 612000 aluminum cans.
Thus, 612000 aluminum cans can be produced in = (612000)*(1/3313) seconds = 184.7268336855 seconds
= 184. 72 seconds (approximately up to two decimal places)
We can convert the value in seconds to hours of the given problem as,
There are 3600 seconds in one hour.
That is, one second = 1/3600 hours.
Thus, the machine makes 612000 cans in = (184.72)*(1/3600) hours
= 0.0513111111 hours
= 0.051 hours ( approximately up to three decimal places)
To know more about word problem here
https://brainly.com/question/13818690
#SPJ4
I cant seem to figure this out!
Need help ASAP!!!
Answer:
Step-by-step explanation:
First calculate total surface area:
l = 6 h = 4 w = 2
2(lw + lh + wh)
2(6·2 + 6 · 4 + 2 · 4)
2 ( 12 + 24 + 8)
2 (44)
88 ft²
Divide the total area by the square feet the spray paint can covers.
88 ft² ÷ 22 ft² = 4 cans of spray paint
The Mean, Median and only Mode of 5 numbers, 15, 12, 14, 19 and x, are all equal. Find the value of x.
If the Mean, Median and only Mode of 5 numbers, 15, 12, 14, 19, and x, are all equal, the value of x must be 15.
What is the mean, median, and mode?The mean of a data set refers to the average value, which is obtained as the quotient of the total value divided by the number of items in the data set.
The median is the central (middle) value when the values of the data set are arranged in ascending or descending order.
The mode is the value that occurs most in the data set.
15, 12, 14, 19, and x
The total value = 75 (15 + 12 + 14 + 19 + x), where x = 15
Mean = 15 (75 ÷ 5)
Median = 15 (12, 14, 15, 15, 19)
Mode = 15 (15, 15, occurring more than the other numbers).
Learn more about the mean, median, and mode at https://brainly.com/question/14532771.
#SPJ1
Hannah and her classmates tracked down the number of books they read last month to the nearest 1/2 book.They organized the data using a tally chart. Use the tally chart to create a line plot. Then solve the problems that follow.
From the tally chart and line plot, it can be concluded that the most common number of books read by Hannah and her classmates last month was 2, and the median number of books read was 1.5.
What is number?Number is a mathematical object used to count, measure and label. It is a symbol or set of symbols used to represent a numerical quantity. It can also be used to represent a quantity in an equation or other mathematical expression. Numbers can be written using different number systems, such as the decimal system, the binary system and the hexadecimal system. They are also related to arithmetic operations such as addition, subtraction, multiplication, division and exponentiation.
Tally Chart:
Books Read: 0 | |
Books Read: 1 | | | |
Books Read: 2 | | | | | |
Books Read: 3 | | | | | | | |
Books Read: 4 | | | | | | |
Line Plot:
0 | |
1 | | | |
2 | | | | | |
3 | | | | | | | |
4 | | | | | | |
The line plot shows that the most common number of books read by Hannah and her classmates was 2. The least common number of books read was 0, with only 1 student reading 0 books. The next least common number of books read was 1, with 4 students reading 1 book. The third most common number of books read was 3, with 5 students reading 3 books. The fourth most common number of books read was 4, with 4 students reading 4 books.
To calculate the median number of books read, the data points from the line plot must be arranged in numerical order. This would be 0, 1, 2, 3, 4. Since there are an even number of points, the median is the average of the two middle numbers, which is 1.5.
From the tally chart and line plot, it can be concluded that the most common number of books read by Hannah and her classmates last month was 2, and the median number of books read was 1.5. This data suggests that many students were reading 2 books last month, but some students were reading fewer than 2 books.
To know more about number click-
http://brainly.com/question/24644930
#SPJ1
A farmer fertilizes 50 plants with an organic fertilizer and 50 with a traditional fertilizer. Each week he measures the growth of the plants. What are the treatments? a The treatments are the organic fertilizer and plant type. b The treatments are the organic and traditional fertilizer. c The treatments are growth and plant type. The characteristic of interest is the fertilizer. d The treatments are the traditional fertilizer and plant type. The characteristic of interest is growth.
The correct option is the: b The treatments are the organic and traditional fertilizer
How to identify the treatments in statistics?Treatments are defined as what we want to compare in the experiment. It can consist of the levels of a single factor, a combination of levels of more than one factor, or of different quantities of an explanatory variable.
Treatments are usually administered to experimental units by 'level', where level implies amount or magnitude. For example, if the experimental units were given 5mg, 10mg, 15mg of a medication, those amounts would be three levels of the treatment.
Therefore, we can conclude that in this question, the treatments are the organic and traditional fertilizer.
Read more about statistics treatments at: https://brainly.com/question/28386316
#SPJ1
Help me with this math please!!!
Answer:
y=mx+c but
Step-by-step explanation:
(,y1-y2÷x1-x2)=y1-y÷ x1-x
Determine how many significant figures are in the following measurement: 0.0301 meters.
The number of significant figures in the measurement 0.0301 meters is given as follows:
Three.
How to obtain the number of significant digits?The rules for significant digits are given as follows:
Non-zero digits are always significant.Any zeros between two significant digits are significant.A final zero or trailing zeros in the decimal portion are significant.The number for this problem is given as follows:
0.0301.
Hence the first two digits are not significant, as the zeros are not between significant digits, while the final three digits are significant.
More can be learned about significant digits at https://brainly.com/question/24491627
#SPJ1
Part of the framing for the roof of a house has a vertical brace that forms two similar triangles. What is the height of the brace?
The calculated height of the brace, h will be 5 ft
What will be the height of the braceFrom the question, we have the following parameters that can be used in our computation:
Similar triangles
This means that
Ratio = Division or ratio of corresponding sides
So, we have
h : 9 = 10 : 18
So, we have the following representation
h/9 = 10/18
This gives
h = 9 * 10/18
By calculation, we have
height = 5 ft
Read more about scale factor at
https://brainly.com/question/17031580
#SPJ1