Answer:
16 and 25
Step-by-step explanation:
Given that the square root of n = 4.2, let's find an expression for this, then find the possible value of n.
Thus:
[tex] \sqrt{n} = 4.2 [/tex]
Solve for n. Square both sides.
[tex] (\sqrt{n})^2 = (4.2)^2 [/tex]
[tex] n = 17.64 [/tex]
Therefore, if the sqrae root of n was approximately equal to 4.2, then we can conclude that n is between 16 and 25.
Answer:
16 and 25
Step-by-step explanation:
Find the area of the shape shown below.
6
2.
units2
Answer:
12 [tex]units^{2}[/tex]
Step-by-step explanation:
square: 2 x 2 = 4 units sq
small triangle: 2 x 2 = 4, 4 / 2 = 2 units sq
big triangle: 2 x 6 = 12, 12 / 2 = 6 units sq
4 + 2 + 6 = 12 units sq
Answer:
12 units²
Step-by-step explanation:
we need to notice that the shape has two right triangles and a rectangle
the area of right triangles is b*h/2 and of the rectangle side*length
area of first triangle
Base=2
Height=2
[tex]A=\frac{2*2}{2} =2[/tex]
Area of the square
Side=2
Length=2
[tex]A_2=2*2=4[/tex]
Area of the second triangle
Base=2
Height=6
[tex]A_3=\frac{2*6}{2} =6[/tex]
so we need to add all three areas
[tex]A_T=A_1+A_2+A_3\\\\A_T=2+4+6=12\\\\A_T=12[/tex]
So the area is 12 units²
Solve. 3(4x - 7) =27
part 5 please assist me with this problems
Answer: 14) 44° 15) 6.5
Step-by-step explanation:
Law of Cosines: a² = b² + c² - 2bc · cos A
Note: The letters can be swapped
14) Given: a = 7, b = 6, c = 10, A = ???
7² = 6² + 10² - 2(6)(10) · cos A
49 = 36 + 100 - 120 cos A
49 = 136 - 120 cos A
-87 = - 120 cos A
0.725 = cos A
43.5° = A
15) Given: A = 21°, b = 18, c = 16
a² = 18² + 16² - 2(18)(16) · cos 21°
= 324 + 256 - 576 cos 21°
= 580 - 576 cos 21°
= 42.26
[tex]a=\sqrt{42.26}[/tex]
= 6.5
Find the value of x.
Answer:
Hey there!
3x-9=114
3x=123
x=41
Let me know if this helps :)
Student work
TRY IT #1
Write each of the following as a rational number.
b. 3
c-4
Answer:
b. 3 = 3/1
c. -4 = -4/1
Step-by-step explanation:
An integer can be written as a rational number with a denominator of 1. The denominator can be anything else, too, in which case the numerator must be multiplied by that same value.
__
b. 3 = 3/1 = 6/2 = 27/9
__
c. -4 = -4/1 = 8/-2 = -12/3
Which of these questions is most likely to result in response bias? A. "What do you think of this TV show?" B. "What is your opinion of this TV show?" C. "How do you like this great new TV show?" D. "How do you feel about this TV show?"
Answer: C. "How do you like this great new TV show?"
The term "great" put in there skews the question to make people think the show is great, when it may not be. So people may have a tendency to say they really like the show when they may not.
Or perhaps they may like the show (somewhat) but the fact that they can sense the bias built into the question makes them decide to say opposite and say they don't like the show. Maybe this sort of scenario would have them rebel in a way.
Either way, the use of "great" is likely to alter the opinion of people answering the question.
Find the area of the figure. (Sides meet at right angles.)
5 m
4 m
4 m
3 m
3 m
3 m
þ m
Answer:
53 m^2
Step-by-step explanation:
53 m^2 is the area of the figure given!
So as given in the question that the sides meet at right angles.
we take the bottom of the upper rectangle as 5m, then the upper side of the lower rectangle will be 3+5+3= 11.
Now, by using the formula of the area of a rectangle that is Area = Height x width, we areas of the two rectangles. Then add both the areas.
Finally we get the area of the given figure!
Hope it helps you!
marks as brainliest and show ur gratitude! :)
Answer:
A = 53 m²
Step-by-step explanation:
A = A1 + A2
= 4m×5m + 3m×(3m + 5m + 3m)
= 20m² + 3m×11m
= 20m² + 33m²
= 53 m²
In your bid to be elected class representative, you have your election committee survey five randomly chosen students in your class and ask them to rank you on a scale of 0-10. Your rankings are 9, 6, 1, 7, 7. (a) Find the sample mean and standard deviation. (Round your answers to two decimal places.) HINT [See Example 1.] sample mean standard deviation (b) Assuming the sample mean and standard deviation are indicative of the class as a whole, in what range does the empirical rule predict that approximately 68% of the class will rank you
Answer:
Sample mean = 6
Sample standard deviation = 3
Range = 3 to 9
Step-by-step explanation:
Given data:
Rankings (x)
9
6
1
7
7
sample size = n = 5
(a)
Sample Mean: [tex]\frac{}{x}[/tex] = ∑x/n
= 9+6+1+7+7 / 5
= 30 / 5
[tex]\frac{}{x}[/tex] = 6
Sample Standard Deviation = s = √(x- [tex]\frac{}{x}[/tex] )²/n-1
= √((9-6)² + (6-6)² + (1-6)² + (7-6)² + (7-6)²) / (5-1)
= √((3)² + (0)² + (-5)² + (1)² + (1)²) / 4
= √(9+0+25+1+1)/4
= √36 / 4
= √9
= 3
s = 3
b) In what range does the empirical rule predict that approximately 68% of the class will rank you?
As per the empirical rule, 68% of data falls within first standard deviation from the mean μ ± 1σ
[tex]\frac{}{x}[/tex] = 6
s = 3
So
6 - 3 = 3
6 + 3 = 9
Hence the range is from 3 to 9
-ثارة
=ةرة1
What is 10 to the second power times 10 to the second power?
Answer: 10,000
Step-by-step explanation: 10 to the 2nd power or 10^2 is 100 so you multiply 100x100 which is 10,000
Answer:
10,000
Step-by-step explanation:
10^2*10^2
10^4=10,000
Let (-3, 7) be a point on the terminal side of 0.
Find the exact values of sin 0, sec 0, and tan 0.
Answer:
[tex]\sin O \approx 0.919[/tex], [tex]\sec O \approx -2.539[/tex] and [tex]\tan O = -\frac{7}{3}[/tex].
Step-by-step explanation:
Given a point (x, y) with respect to origin and in rectangular coordinates, the exact value of sine, secant and tangent functions are, respectively:
[tex]\sin O = \frac{y}{\sqrt{x^{2}+y^{2}}}[/tex]
[tex]\sec O = \frac{1}{\cos O} = \frac{\sqrt{x^{2}+y^{2}}}{x}[/tex]
[tex]\tan O = \frac{\sin O}{\cos O} = \frac{y}{x}[/tex]
Given that [tex]x = -3[/tex] and [tex]y = 7[/tex], the exact values of sine, secant and tangent are:
[tex]\sin O = \frac{7}{\sqrt{(-3)^{2}+7^{2}}}[/tex]
[tex]\sin O \approx 0.919[/tex]
[tex]\sec O = \frac{\sqrt{(-3)^{2}+7^{2}}}{-3}[/tex]
[tex]\sec O \approx -2.539[/tex]
[tex]\tan O = \frac{7}{-3}[/tex]
[tex]\tan O = -\frac{7}{3}[/tex]
Write two related division statements for : -3 x 8 = -24
Answer:
8/-24=-3
-3/-24=8
I hope this is the answer
100+678+467 helpjjsjjs
Answer:
1245 is the answer of this question
Hermione went to a pet store and bought a fish tank that cost $62.00 plus 5% sales tax. She
gave the clerk $100.00. How much change should she receive?
A $43.00
B $38.00
C $34.90
D $33.00
Wyatt is going to a carnival that has games and rides. Each game costs $1.25 and each ride costs $2.75. Wyatt spent $20.25 altogether at the carnival and the number of rides he went on is twice the number of games he played. Determine the number of games Wyatt played and the number of rides Wyatt went on.
Answer:
Wyatt played 3 games and went on 6 Rides
Step-by-step explanation:
Let games be represented as x
Let ride be represented as y
Each game cost $1.25
Each ride cost $2.75
Total money spent by Wyatt= $20.25
x1.25 + y2.75 = 20.25 ..... Equation 1
the number of rides he went on is twice the number of games he played
Y= 2x ... Equation 2
Substituting the value of y into equation 1
x1.25 + y2.75 = 20.25
x1.25 + 2(x)2.75 = 20.25
x1.25 + x5.5 = 20.25
x6.75= 20.25
x= 20.25/6.75
X= 3
Y= 2x
Y= 2(3)
Y= 6
Wyatt played 3 games and went on 6 Rides
Answer:
Wyatt played 3 games and went on 6 rides.
Step-by-step explanation:
Solve 3exponent3-2=9
Answer: No solution. 27=9
Evaluate the expression when x=35 and y=6 x / 5 - y
Answer:Variable expressions are expressions that involve variables, which are symbols that represent changing quantities. The value of the expression will change as the value of the variable changes.
For example, let's say with have the equation
x
+
5
When
x
=
1
, then
x
+
5
=
6
When
x
=
2
then
x
+
5
=
7
Hope that was helpful.
A recreation park measures 560 m long by 700 m wide. A 250-m by 150-m area of the park is used for soccer and baseball fields. How much of the area remains?
Answer:
354,500 square m
Step-by-step explanation:
Remaining area = Area of park - Area used for soccer and baseball field
= 560 * 700 - 250* 150
= 392,000 - 37,500
= 354,500 square m
Find the product:
(x+9)(x-9)
a 18
b. -81
C. - 18
d. x-64
Answer:
x^2 -81
Step-by-step explanation:
(x+9)(x-9)
FOIL
first x*x = x^2
outer -9x
inner 9x
last -9*9 = -81
Add them together
x^2 -9x+9x -81
Combine like terms
x^2 -81
Answer: B
Step-by-step explanation:
Simply using (a-b)(a+b)=a^2-b^2.
Evaluate the power (9^2).
x^2 - 81
What is corrrectly plotted points for y=-x+3
Answer:
Here. I have graphed this for you. The points are at +3 and +3
Step-by-step explanation:
Write an inequality to represent the graph. a dashed line passing through points 0 comma negative 3 and 2 comma 2 with shading above it
A.y is greater than two fifths times x minus 3 B. y is less than two fifths times x minus 3 C. y is greater than five halves times x minus 3 D. y is less than five halves times x minus 3
Answer: y > (5/2)*x - 3
Step-by-step explanation:
Ok, the thins we should notice.
The line is shaded, so the values of the line are not solutions of the inequality, then we should use < or >.
The shaded part is above the line, so we have:
y > a*x + b.
A linear relationship can be written as:
f(x) = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
Now, we know that our line passes through the points (0, -3) and (2, 2)
Then the slope is:
a = (2 -(-3))/(2 - 0) = 5/2.
f(x) = (5/2)*x + b.
To find the value of b, we can replace the values of one of the points in the equation, let's use the point (0, -3)
f(0) = -3 = (5/2)*0 + b
-3 = b
Then the line is:
f(x) = (5/2)*x - 3
Then the inequality is:
y > (5/2)*x - 3
I don't know how to commit on these posts but the guy above is wrong.
Construct a frequency distribution and a frequency histogram for the data set using the indicated number of classes. Describe any patterns. Number of classes: 8 Data set: Reaction times (in milliseconds) of 30 adult females to an auditory stimulus
Answer:
Hello The data set is missing below is the missing data set
507,389,305,291,336,310,514,442,373,428,387,454,323,441,388,426,411,382,320,450,309,416,359,388,307,337,469,351,422,413
Step-by-step explanation:
Data set:
507,389,305,291,336,310,514,442,373,428,387,454,323,441,388,426,411,382,320,450,309,416,359,388,307,337,469,351,422,413
To CONSTRUCT a Frequency Distribution do the following
Identify the Number of classes ( 8 ). Find the data range ( 514-291) = 223 Find the width 223/8 = 27.9. ≈ 28 create 8 groups each of 28 width starting from (291). count the no of data set in each interval and use that to generate the frequency table as attached belowattached is the frequency table and histogram representation
The similarities and differences between correlation and regression Correlation and regression are two closely related topics in statistics. For each of the following statements, indicate whether the statement is true of correlation, true of regression, true of both correlation and regression, or true of neither correlation nor regression. Regression Correlation Both Correlation and Regression Neither Correlation nor Regression Can tell you whether one variable (such as smoking) causes another (such as cancer) Can be influenced by extreme values on one or both variables Can tell you the degree to which a linear relationship exists between two variables?
Answer:
Both variables Can tell you the degree to which a linear relationship exists between two variables.
Step-by-step explanation:
Correlation and regression are two statistical concepts that are closely related and complement each other. They are powerful tools used in modern-day machine learning and artificial intelligence.
Correlation evaluates the linear relationship between two variables, using regression as a tool to assess the degree at which a dependant variable changes ( either increasing or decreasing ) based on the value of an independent variable.
The correlation coefficient is the degree of the linear relationship between two variables, ranging from zero ( for non-linear) to one ( for highly linear).
Marginal Revenue
The demand function for a certain boat company's 34 ft Sundancer yacht is
p = 700 − 0.01x ln(x)
where x denotes the number of yachts and p is the price per yacht in hundreds of dollars.
(a) Find the revenue function R(x) and the marginal revenue function R'(x) for this model of yacht.
R(x) = 700x−0.01x2ln(x)
R'(x) = −0.01x−0.02xln(x)+700
(b) Use the result of part (a) to estimate the revenue to be realized from the sale of the 375th 34 ft Sundancer yacht. (Round your answer to the nearest dollar.)
Answer:
Step-by-step explanation:
a) Revenue function us derives by taking the product of the number of yachts and the demand function p given. Mathematically,
R(x) = xp(x)
Given p(x) = 700 − 0.01x ln(x)
R(x) = x{700 − 0.01x ln(x)}
R(x) = 700x - x(0.01x ln(x))
R(x) = 700x - 0.01x²lnx
Hence the revenue function R(x) is expressed as R(x) = 700x - 0.01x²lnx
Marginal revenue function is derived by finding the derivative of the revenue function R(x). On differentiating;
d{R(x)}/dx = 700 - 0.01{x²(1/x)+2xlnx} (note that product rule was used to differentiate the function in parenthesis).
d{R(x)}/dx = 700 - 0.01{x+2xlnx}
Open the parenthesis
d{R(x)}/dx = 700 - 0.01x-0.02xlnx
Hence the marginal revenue function R'(x) is expressed as 700 - 0.01x-0.02xlnx.
b) In order to estimate the revenue to be realized from the sale of the 375th 34 ft Sundancer yacht, we will simply substitute the variable x = 375 into the revenue function R(x)
Given R(x) = 700x - 0.01x²lnx
R(375) = 700(375) - 0.01(375)²ln(375)
R(375) = 262500-1406.25ln(375)
R(375) = 262500-8334.74
R(375) = 254,165.26
Hence the revenue realized from the sale is approximately $254,165
For the Marginal revenue Function,
R'(x) = 700−0.01x−0.02xln(x)
R'(375) = 700−0.01(375)−0.02(375)ln(375)
R'(375) = 700−3.75−0.02(375)ln(375)
R'(375) = 700-3.75-44.45
R'(375) = 651.8
The marginal revenue is approximately $652
What is the radius of a circle whose equation is (X +5 )2+(Y -3 )2=four squared
Answer: 4
Step-by-step explanation:
The standard equation of a circle is (x−h)^2 + (y−k)^2 = r^2, with (h,k) being the center and r being the radius. In the equation you provided, r = 4.
Answer:
Step-by-step explanation:
(x-h)²+(y-k)²=r²
radius=r
what is one fourth divided by two
Answer:
1/8
Step-by-step explanation:
1/4 ÷ 2
copy dot flip
1/4 * 1/2
1/8
p(n,6)=3p(n,5) what is the value of n.
Answer:
n = 10
Step-by-step explanation:
3n1!/(n-4)! = (n-1)!/( n-1-5)
3n(n-1)(n-2)(n-3)(n-4) / N-4 -------- case1 ( cancel ( n-4) from top and bottom)
= (n-1)(n-2)(n-3)(n-4)(n-5)(n-6) / n-6 --------- case 2 ( Cancel n-6 from top and
bottom and also cancel n-1,
n-2, n-3 with case 1)
3n = ( n-4)(n-5)
3n = n² - 5n - 4n + 20
3n = n² - 9n + 20
0 = n² - 9n - 3n + 20
0 = n² - 12n + 20
0 = (n-2)(n-10)
n = 2 ( not valid) n = 10
Therefore n = 10
What is the value of the expression
(
43
+
7
2
)
2
2
2
2
(43+7
2
)
?
Answer:
The question is not clear
What's the length of an arc with a central angle of 100° and a radius of 2 inches?
Answer:
the answer is 4) 10π/9 inches
Step-by-step explanation:
all answers have π on the nominator but i could not insert it for some reason
[tex]Question 7 options:\\1) \frac{40}{3}inches \\2) \frac{5}{3} inches\\3) \frac{100}{3} inches \\4) \frac{10}{9} inches[/tex]
A circle is a curve sketched out by a point moving in a plane. The length of the arc with a central angle of 100° and a radius of 2 inches is 3.49 inches.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
Given that the radius of the circle is 2 inches, while the angle made by the arc at the centre of the circle is 100°. Therefore, the length of the arc can be written as,
Length of the arc = 2 × π × R × (θ/360°)
= 2 × π × 2 inches × (100°/360°)
= 10π / 9 inches
= 3.49 inches
Hence, the length of the arc with a central angle of 100° and a radius of 2 inches is 3.49 inches.
Learn more about Circle:
https://brainly.com/question/11833983
#SPJ2
Evaluate |3 - 5 + 7|.
-5
5
-15
15
Answer:
B. 5
Step-by-step explanation:
|3 - 5 + 7|=|- 2 + 7 | =| 5 | =5Answer is: B. 5
which pairs of angles in the figure below are vertical angles? Check all that apply