The expression that has a value less than 1 is 3/4 x 4/4, the correct answer is option C. To decide which expression contains esteem less than 1, we got to rearrange each expression and compare it to 1.
A. 3/4 x 4/3
Increasing these divisions, we get:
(3/4) x (4/3) = 12/12 = 1
This expression rearranges to 1, which isn't less than 1.
B. 3/4 x 6/3
Duplicating these divisions, we get:
(3/4) x (6/3) = 18/12 = 3/2
This expression disentangles to 3/2, which is more prominent than 1.
C. 3/4 x 4/4
Duplicating these divisions, we get:
(3/4) x (4/4) = 12/16 = 3/4
This expression streamlines to 3/4, which is less than 1.
D. 3/4 x 8/4
Increasing these divisions, we get:
(3/4) x (8/4) = 24/16 = 3/2
This expression rearranges to 3/2, which is more prominent than 1.
thus, the expression that incorporates esteem less than 1 is alternative C, 3/4 x 4/4.
To learn about expressions visit:
https://brainly.com/question/14083225
#SPJ4
Help me please , will mark
is figure pqrstu a translation, reflection, or rotation? Explain your reasoning
PLEASE HELP ME
Answer: I'd say reflection
Answer:
It is a reflection
Step-by-step explanation:
In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.
What is the standard form of the equation of the circle in the graph?
(x - 3)2 + (y + 1)2 = 2
(x + 3)2 + (y - 1)2 = 1
(x - 3)2 + (y + 1)2 = 1
(x + 3)2 + (y - 1)2 = 2
Standard form equation of given circle.
How to find standard form?The standard form of the equation of a circle is (x - h)² + (y - k)²= r², where (h,k) is the center of the circle and r is the radius. To find the standard form of the equation of the circle in the graph, we need to first determine its center and radius.
We can see that the center of the circle is (-3,1) and its radius is the square root of 2. Using this information, we can plug these values into the standard form equation and simplify to get (x + 3)² + (y - 1)² = 2 as the standard form of the equation of the circle.
This means that any point (x,y) that satisfies this equation will lie on the circle with center (-3,1) and radius square root of 2.
Learn more about standard form
brainly.com/question/29000730
#SPJ11
1. (06. 01 LC)
Brenda throws a dart at this square-shaped target:
----
11
Part A: Is the probability of hitting the black circle inside the target closer to 0 or 1? Explain your answer and show your work. (5 points)
Part B: Is the probability of hitting the white portion of the target closer to 0 or 1? Explain your answer and show your work. (5 points)
B
1
U Font Family
-A
The probability of hitting the white portion of the target is closer to 1.
Given target shape:
```
----
| |
| o |
| |
----
```
Part A:
The probability of hitting the black circle inside the target is closer to 0.
Area of the black circle = πr² = π(5)² = 25π square units.
Area of the square target = s² = 11² = 121 square units.
Area of the white part of the target = 121 - 25π.
The probability of hitting the black circle = (area of the black circle) / (area of the square target) = (25π) / 121.
Now, (25π) / 121 ≈ 0.65.
Therefore, the probability of hitting the black circle is closer to 0.
Part B:
The probability of hitting the white portion of the target is closer to 1.
The area of the white portion of the target = 121 - 25π.
The probability of hitting the white portion of the target = (area of the white portion) / (area of the square target) = (121 - 25π) / 121.
Now, (121 - 25π) / 121 ≈ 0.20.
the probability of hitting the white portion of the target is closer to 1.
To know more about probability, visit:
https://brainly.com/question/3182891
#SPJ11
Find the midpoint of the segment with the following endpoints.
(10,7) and (5,4)
Answer: (7.5, 4.5)
Step-by-step explanation:
To find the midpoint, we can just find the average of the x values and the y values.
x=(10+5)/2=15/2=7.5
y=(5+4)/2=9/2=4.5
is a fraction a term? If it's not a term, why is it that we can apply the distributive property to it? the distributive property only works for either terms, or addition and subtraction. a fraction is technically division, so why does it work? Please help!!!!!
No, a fraction is not a term. The distributive property can be applied to fractions because it is a general mathematical principle.
A fraction is not considered a term in the traditional sense. It is a mathematical expression that represents division. However, the distributive property can still be applied to fractions because the property itself is a fundamental rule of arithmetic that extends beyond specific types of expressions.
The distributive property states that for any real numbers a, b, and c:
a × (b + c) = (a × b) + (a × c).
When working with fractions, we can apply the distributive property as follows:
Let's consider the expression: a × (b/c).
We can rewrite this as: (a × b)/c.
Now, let's distribute the 'a' to 'b' and 'c':
(a × b)/c = (a/c) × b.
In this step, we applied the distributive property to the fraction (a/c) by treating it as a whole.
Although fractions represent division, we can still use the distributive property because it is a general mathematical principle that allows for manipulating expressions involving addition, subtraction, multiplication, and division.
For more such question on fraction
https://brainly.com/question/17220365
#SPJ8
The continuous random variable V has a probability density function given by: 6 f(v) = for 3 ≤ ≤7,0 otherwise. 24 What is the expected value of V? Number
The expected value of the continuous random variable V is 5. The expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
To calculate the expected value of a continuous random variable V with a given probability density function (PDF), we integrate the product of V and the PDF over its entire range.
The PDF of V is defined as:
f(v) = 6/24 = 0.25 for 3 ≤ v ≤ 7, and 0 otherwise.
The expected value of V, denoted as E(V), can be calculated as:
E(V) = ∫v * f(v) dv
To find the expected value, we integrate v * f(v) over the range where the PDF is non-zero, which is 3 to 7.
E(V) = ∫v * (0.25) dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * ∫v dv, with the limits of integration from 3 to 7.
E(V) = (0.25) * [(v^2) / 2] evaluated from 3 to 7.
E(V) = (0.25) * [(7^2 / 2) - (3^2 / 2)].
E(V) = (0.25) * [(49 / 2) - (9 / 2)].
E(V) = (0.25) * (40 / 2).
E(V) = (0.25) * 20.
E(V) = 5.
Therefore, the expected value of the continuous random variable V is 5.
The expected value represents the average value or mean of the random variable V. It is the weighted average of all possible values of V, with each value weighted by its corresponding probability. In this case, the expected value of V is 5, indicating that, on average, we expect the value of V to be around 5.
Learn more about random variable here
https://brainly.com/question/17217746
#SPJ11
a lamp manufacturer has developed five lamp bases and four lampshades that could be used together. how many different arrangements of base and shade can be offered? a. 5 b. 10 c. 15 d. 20
Different lampshades that could be used together are A) 5.
How to determine the value of any factorial value?
The factorial function (symbol:!) instructs us to multiply all whole numbers starting at the number we have chosen down to one.
Examples:
4! = 4 × 3 × 2 × 1 = 24
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
according to the question, five lamp bases and four lampshades that could be used together. so the calculation will be 5C4
using factorial,
Hence, 5 different arrangements of base and shade can be offered together. (using factorial)
to learn more about factorial from the given link,
https://brainly.com/question/25997932
#SPJ4
Use the remainder theorem to find P (3) for P(x) = -x^4+3x^3-2x+3.
Specifically, give the quotient and the remainder for the associated division and the value of P (3).
The most appropriate choice for remainder theorem will be given by-
Quotient = \(-x^3-2\)
Remainder = -3
What is remainder theorem?
When f(x) is divided by (x-a), the remainder will be f(a).
If the remainder is zero, (x-a) will become a factor of f(x)
Expression to be divided is called dividend, expression by which dividend is divided is called divisor, expression obtained on division is called Quotient and the other part is the remainder.
There is also a well known formula
Divisor x Quotient + Remainder = Dividend
Here,
P(x) = \(-x^4 +3x^3 -2x+3\)
P(3) = \(-(3)^4+3(3)^3-2(3)+3\)
= \(\\-81+81-6+3\)
= -3
So by Remainder theorem, remainder is P(3)
So, Remainder = -3
Let the quotient be q(x)
divisor = \(x - 3\)
We know,
Divisor x Quotient + Remainder = Dividend
\((x-3) \times q(x) +(-3) = -x^4 +3x^3 -2x+3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+3 +3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+6\\q(x) = \frac{-x^4 +3x^3 -2x+6}{x -3}\\q(x) =\frac{ -x^3(x-3)-2(x-3)}{x-3}\\q(x) = \frac{(x-3)(-x^3-2)}{x-3}\\q(x) = -x^3-2\)
So, Quotient = \(-x^3-2\)
Remainder = -3
To learn more about remainder theorem, refer to the link:
https://brainly.com/question/13328536
#SPJ9
What is the missing information for Statement 4 and 5?
The missing information for parts 4 and 5 will be the definition of midpoint and AH ≅ AH respectively.
What is the similarity law for triangles?It is defined as the law to prove that two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
It is given that, ΔMAT is isosceles and point H is the midpoint of the MT.
The statement with their valid reasons is explained below,
As we know that in an isosceles triangle two sides are the same.As a result,
MA = TA
As H is the midpoint of the MT.
MH=TH
From the reflex property of congruence, AH≅AH
Thus, the missing information for parts 4 and 5 will be the definition of midpoint and AH ≅ AH respectively.
Learn more about the similarity of triangles here:
brainly.com/question/8045819
#SPJ1
25/75 = x/15 what is x
Answer:
x=5
Step-by-step explanation:
What is the area of the circle?
Answer:
Step-by-step explanation
radius=diameter/2
=16/2
=8 ft
area of circle=πr^2
=π*8^2
=π64 ft^2
Answer:
The area of the circle is 64π^2
Explanation:
the diameter is 16, so you divided it by 2 to get the radius, which is 8. The equation that is used to solve for area of circle is A = πr^2. So the equation that I used was A = π8^2.
Given the number of rows and the number of columns, write nested loops to print a rectangle.
Answer:
You need to use a nested for loop. Use the range() builtin to produce an iterable sequence. The outer for loop should iterate over the number of rows.
Step-by-step explanation:
Use the range() builtin to produce an iterable sequence. The outer for loop should iterate over the number of rows overtime.
Meg initially has 3 hours of pop music and 2 hours of classical music in her collection. Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change. Which function shows the total hours of music she will have in her collection after x months
Answer:
The answer is "\(f(x) = 3(1.05)x + 2\)".
Step-by-step explanation:
She starts off with 3 hours with pop music.
Next month, she will have 3 hours she has had and + 3*0.05.
3hrs + 3*0.05hrs = 3*1.05 hrs
We add 2 hours of classical music to the 3 * 1.05 hours to achieve 3 * (1.05) hours + 2 hours of classical music.
Answer: f(x):2(0.05)^x+3
HELP ASAP!! 30 POINTS!!!
Tamara finds the sum of two number cubes rolled at the same time. The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes. How many times should Tamara expect the sum of the two cubes be equal to 8 if she rolls the two number cubes 180 times?
Out of 180, the number of times, Tamara expects the sum of the two cubes to be equal to 8 if she rolls the two number cubes 180 times is 25.
What is the probability?
Probability in mathematics is the possibility of an event in time. In simple words how many times does that incident is happening in any given time interval?
Given:
Tamara finds the sum of two number cubes rolled at the same time.
The chart below shows all possible sums from the 36 possible combinations when rolling two number cubes.
The sum of 8 can be written as 5 possible combinations.
So, The number of times, Tamara expects the sum of the two cubes to be equal to 8 if she rolls the two number cubes 180 times is,
= 6/36 x 180
= 25
Therefore, 25 is the required value.
To learn more about the probability;
brainly.com/question/11234923
#SPJ1
solve the equation 3(x- 4) = 5
Answer:
Step-by-step explanation:
3(x-4)=5 use distributive property
3x-12=5 add 12 to both sides
3x=17 isolate x by dividing both sides by 3
x=5.66 repeating or 5 2/3
\(\huge\text{Hey there!}\)
\(\mathsf{3(x- 4) = 5}\)
\(\large\textsf{DISTRIBUTE 3 within your parentheses}\)
\(\mathsf{3(x) + 3(-4) = 5}\)
\(\mathsf{3(x) = \bf 3x}\)
\(\mathsf{3(-4)=\bf -12}\)
\(\large\text{NEW EQUATION: \textsf{3x - 12 = 5}}\)
\(\mathsf{3x - 12 = 5}\)
\(\large\textsf{ADD 12 to BOTH SIDES}\)
\(\mathsf{3x - 12 + 12 = 5+12}\)
\(\large\text{CANCEL out: \textsf{-12 + 12} because that gives you \textsf{0}}\)
\(\large\text{KEEP: \textsf{5 + 12} because it helps solve for the \textsf{x value}}\)
\(\mathsf{5+12=\bf 17}\)
\(\large\text{NEW EQUATION: \textsf{3x = 17}}\)
\(\mathsf{3x = 17}\)
\(\large\textsf{DIVIDE 3 to BOTH SIDES}\)
\(\mathsf{\dfrac{3x}{3}=\dfrac{17}{3}}\)
\(\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you the value of \textsf{1}}\)
\(\large\text{KEEP: }\mathsf{\dfrac{17}{3}}\large\text{ because it gives you the \textsf{x value}}\)
\(\boxed{\boxed{\large\textsf{Answer: }\mathsf{x = \bf \dfrac{17}{3}}}}\huge\checkmark\)
\(\text{Good luck on your assignment and enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
How to find the length of the segment indicated?
Answer:
Step-by-step explanation:
it is 2x
I need to know how to do these and if I got the one right
23. The value for x in triangle is 11.14
24. The value for x in the triangle is 18.3
25. The value for x = 30.4
27 The value for x = 63.413 degrees
Sine, Cosine and Tangent23
Cos θ= adj/ hyp
cos 42= x/15
x = 15 cos 42
x = 11.14
24
tan θ= opp/ adj
tan 31= 11/ x
x(tan 31)= 11
x = 11/tan 31
x = 18.3
25
cos θ= adj/ hyp
cos 18= 29/x
x(cos 18) = 29
x = 29/ cos 18
x = 30.4
27
sin x = opp/ hyp
sin x = 17/19
sin x = 0.8947
x = 63.413 degrees
Learn more on trigonometry here https://brainly.com/question/29766029
SPJ1
Please help !!!
The seventh-graders at the middle school are going on a field trip to Hurricane Harbor. They will spend 6 1/2 hours at the water park. The students will need to ride 5 different water slides while they are there. If the time is evenly distributed, how many minutes will the students spend at each water slide?
Answer:
exabit for about 51 min
Step-by-step explanation:
COMMET IF I BE WRONG
Answer:
6 1/2×60=390 390÷5=78
Step-by-step explanation:
They will have an hour and 18 minutes per each water ride.
Solve. Check for extraneous solutions. (x-2)¹/₂ -(28-2 x)¹/₄=0
-4 is an extraneous solution.
The equation is
\((x - 2)^{1/2}\) - \((28-2x^{1/4}\) = 0
To know whether the given equation has an extraneous solution or not we need to find the value of x.
\((x-2^{1/2}\)= \((28-2x)^{1/4}\)
Multiply both sides with the power of 4, and we get
\((x- 2)^{2}\) = 28-2x
\(x^{2}\) - 4x + 4 = 28-2x
\(x^{2}\) - 2x - 24= 0
\(x^{2}\)- 6x + 4x -24=0
x(x-6) +4(x-6)=0
(x-6)(x+4) = 0
x = 6 , -4
Now put both the value of x in the equation
x=6
\((6-2)^{1/2}\)-\((28- 2* 6)^{1/4}\)= 0
\(4^{1/2}\)- \(16^{1/4}\)= 0
2-2=0
0=0
Now
x = -4
\((-4-2)^{1/2}\)-\((28-2*-4)^{1/4}\)=0
\((-6)^{1/2}\) -\(36^{1/4}\)=0
\((-6)^{2}\) - \(6^{1/2}\)=0
Which is not possible and a negative integer is not present in the square root.
Therefore we get the extraneous solution of the equation which is x= -4, and x = 6 is the solution of the equation.
To know more about the extraneous solution refer to the link given below:
https://brainly.com/question/12361474
"If three angles and two sides of two triangles are congruent, are the triangles congruent? Why or why not?"
Answer:
yes
Step-by-step explanation:
because the corresponding angles are congruent, the triangles are congruent through CPCTC. If two sides are congruent and an included angle, then the triangles are congruent through the SAS postulate. And if two sides and a non-included angle are congruent then the triangles are congruent through the AAS postulate. Any way of looking at this proves congruency through various postulates, therefore the trianlges are congruent.
15p+16 = – 13p–12
I need an answer
Answer:
P=-1
Step-by-step explanation:
In a computer catalog, a computer monitor is listed as being 25 inches. If the height of the screen is 15 inches, what is the area of the screen to the nearest inch?
Answer: 20inch
Step-by-step explanation:
Using the Pythagoras theorem:-
25^2 = 15^2 + x^2 where x = the width of the screen.
625 = 225 + x^2
x = √(625 - 225) = √400
= = 20 ins
There are 12 students with brown hair and 45 students with black hair in a math class. What is the ratio of students with brown hair to students with black hair?
Answer:
57 Students........................
Clothing sizes are not standardized across brands. Suppose that a large study of women's size 12 jeans revealed that the mean hip measurment was 40.9 in with a standard deviation of 1.2 in. As part of a project for a fashion merchandizing class, Mallorie selects a simple random sample of 15 pairs of women's size 14 jeans and records the following hip measurements, in inches.
42.5,41.8,42.5,424,40.8,42.1, 41.2,41.3,42.1,41.6,42.3, 41.4, 44.2, 43.1,42.8
Mallorie plans to use this data to construct a 90% confidence interval for u, the mean hip measurement of women's size 14 jeans. She assumes that the hip measurements are normally distributed and that the population standard deviation is 1.2 in.
The sample mean, x, is the point estimate for a confidence interval to estimate a population mean. What is the mean hip measurement for the random sample of 15 pairs of women's size 14 jeans? Give your answer precise to two decimal places.
in
What is the margin of error for Mallorie's confidence interval? Give your answer precise to two decimal places.
in
Choose the correct interpretation of Mallorie's confidence interval.
There is a 90% chance that the mean hip measurement of size 14 jeans falls between 41.74 in and 42.54 in.
Mallorie is 90% sure that the mean hip measurement of size 14 jeans is between 41.63 in and 42.65 in.
In 90% of all samples, the sample mean will fall between 41.63 in and 42.65 in.
There is a 90% chance that the mean hip measurement of size 14 jeans falls between 41.63 in and 42.65 in.
Mallorie is 90% sure that the mean hip measurement of size 14 jeans is between 41.74 in and 42.54 in
The mean hip measurement for the random sample of 15 pairs of women's size 14 jeans is 42.07 in. The margin of error for Mallorie's confidence interval is 0.43 in. The correct interpretation of Mallorie's confidence interval is "There is a 90% chance that the mean hip measurement of size 14 jeans falls between 41.63 in and 42.65 in".
Given that a large study of women's size 12 jeans revealed that the mean hip measurment was 40.9 in with a standard deviation of 1.2 in.
Mallorie selects a simple random sample of 15 pairs of women's size 14 jeans and records the hip measurements.
Mean of hip measurement for a random sample of 15 pairs of women's size 14 jeans = 42.07 in
Margin of error for Mallorie's confidence interval = 1.645 x (1.2 / sqrt(15)) = 0.43 in
Confidence interval = (42.07 - 0.43, 42.07 + 0.43) = (41.64, 42.50)
The correct interpretation of Mallorie's confidence interval is "There is a 90% chance that the mean hip measurement of size 14 jeans falls between 41.63 in and 42.65 in".
To learn more about random sample
https://brainly.com/question/30759604
#SPJ11
Dave buys a coat for £20, a hat for £15 and a pair of gloves for £5.
Later, he sells the coat at 50% profit. He sells the hat for £18 but has to sell the gloves at a 20% loss.
What is his overall percentage profit?
Answer:
30%
Step-by-step explanation:
Purchases:
Coat £20
Hat £15
Gloves for £5
Total amount of purchases: £20 + £15 + £5 = £40
Sales:
Coat at 50% profit: 150% × £20 = 1.5 × £20 = £30
Hat: £18
Gloves at a 20% loss: 80% of £5 = £4
Total amount of sales: £30 + £18 + £4 = £52
Amount of profit: £52 - £40 = £12
Percent of profit: £12 / £40 × 100% = 30%
An equation for the line is
The linear equation of the given line on the graph is y = -1/2 + 5
What is a linear equation?A linear equation is an algebraic equation of the form y=mx+b.
where m is the slope and b is the y-intercept.
We have a graph.
We can see that the graph has two points:
(0, 5) = (a, b) and (4, 3) = (c, d)
The slope m is given by:
m = (d - b) / (c - a)
m = -2 / 4
m = -1/2 ,b = y-intercept
The y-intercept is at y = 5
b = 5
The linear equation is: y = mx + b
y = (-1/2) + 5
y = -1.2 + 5
Thus the linear equation of the given line on the graph is
y = -1/2 + 5
To learn more about linear equation refer
https://brainly.com/question/2030026
#SPJ1
Which relation defined by a mapping diagram is not a function?
Answer:
C
Step-by-step explanation:
I'll Give Brainly thing
pls answer 3 and 4
Answer:
4 and -6 hope it helped
Step-by-step explanation:
Answer:
C. Is the answer
Step-by-step explanation:
Suppose you physically simulate the random process of rolling a single die. (a) After 1010 rolls of the die, you observe a "one" 44 times. What proportion of the rolls resulted in a "one"? (b) After 2020 rolls of the die, you observe a "one" 22 times. What proportion of the rolls resulted in a "one"?
Answer:
(a) 0.4 or 40%
(b) 0.1 or 10%
Step-by-step explanation:
(a) If you get 4 "ones" after 10 rolls of the die, the proportion of the rolls that resulted in "ones" is:
\(p=\frac{4}{10}\\ p=0.4\)
(b) If you get 2 "ones" after 20 rolls of the die, the proportion of the rolls that resulted in "ones" is:
\(p=\frac{2}{20}\\ p=0.1\)