Answer:
[tex]P(X<29.1)=P(\frac{X-\mu}{\sigma}<\frac{29.1-\mu}{\sigma})=P(Z<\frac{29.1-29}{0.1})=P(z<1)[/tex]
And we can find this probability using the normal standard distribution, excel or a calculator and we got:
[tex] P(z<1) =0.8413[/tex]
And if we convert this into percent we got 84.13% rounded to the nearest percent would be:
84%
Step-by-step explanation:
Let X the random variable that represent the circumferences of a population, and for this case we know the distribution for X is given by:
[tex]X \sim N(29,0.1)[/tex]
Where [tex]\mu=29[/tex] and [tex]\sigma=0.1[/tex]
We are interested on this probability
[tex]P(X<29.1)[/tex]
And the best way to solve this problem is using the normal standard distribution and the z score given by:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
If we apply this formula to our probability we got this:
[tex]P(X<29.1)=P(\frac{X-\mu}{\sigma}<\frac{29.1-\mu}{\sigma})=P(Z<\frac{29.1-29}{0.1})=P(z<1)[/tex]
And we can find this probability using the normal standard distribution, excel or a calculator and we got:
[tex] P(z<1) =0.8413[/tex]
And if we convert this into percent we got 84.13% rounded to the nearest percent would be:
84%
David played a slot machine. W(t) models his winnings (in dollars, where a negative number means David is losing) as a function of time t (in hours).
When did David's winnings decrease faster?
A. Between 1 and 4.5 hours since he started playing
B. Between 4.5 and 6 hours since he started playing
C. The winnings decreased at the same rate over both intervals
David's winnings decrease faster Between 4.5 and 6 hours since he started playing. so option B is correct.
What is the average rate of change?The average Rate of Change of the function f(x) can be calculated as;
[tex]f(x) = \dfrac{f(b) - f(a)}{b-a}[/tex]
David played a slot machine.
W(t) models his winnings (in dollars, where a negative number means David is losing) as a function of time t (in hours).
Lets calculate the average rate of change of W(t).
ARC ( 1, 4.5)
[tex]W(t) = \dfrac{W(4.5)- W(1)}{4.5-1}\\\\W(t) = \dfrac{-70}{3.5}\\\\W(t) = -20\\[/tex]
ARC( 4.5, 6)
[tex]W(t) = \dfrac{W(6)- W(4.5)}{6-4.5}\\\\W(t) = \dfrac{-51}{1.5}\\\\W(t) = -34\\[/tex]
Thus, the average rate of change over the interval ( 4.5, 6) is greater than the average rate of change over the interval ( 1, 4.5).
Hence, David's winnings decrease faster Between 4.5 and 6 hours since he started playing.
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16 divided by x= 2 I need to solve for x
Answer:
x = 8
Step-by-step explanation:
16/x = 2
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. First, multiply x to both sides:
(16/x)x = (2)x
2x = 16
Next, isolate the variable, x. Divide 2 from both sides:
(2x)/2 = (16)/2
x = 16/2
x = 8
x = 8 is your answer.
~
park ranger spent $208 to buy 12 trees.Redwood trees cost $24 each and spruce trees cost $16 each. How many of each tree did the park ranger buy? Answer: The park ranger bought 2redwood trees and ______ spruce trees
Answer:
The park ranger bought 2 redwood trees and 10 spruce trees.
Step-by-step explanation:
24 * 2 = 48
208 - 48 = 160
160 / 16 = 10
7p select which that apply
Answer:
7 times p
7 multiplied by p
The product of 7 and p
Step-by-step explanation:
The question is 7p. Usually, when a number and a variable is placed side by side, it means you are multiplying:
7 times p
7 multiplied by p
The product of 7 and p
are all your answer choices, for they all deal with multiplying 7 with p.
~
The graph shows the locations of point C and point D. Point E is graphed at (n. 2).
The distance from point D to point E is equal to the distance from point D to point C.
What is the distance from point D to point E? What is the value of n? Enter your answers in the boxes.
D(n,-2)
units
units
The value of n is 0 and the coordinate of D is at (0, -2)
Find the coordinate of the plane attached.
Given the following coordinates:
C = (0, -2)
D = (n, -2)
E = (n, 2)
Get the distance from point D to point E using the distance formula:
[tex]DE=\sqrt{(2+2)^2+(n-n)} \\DE=\sqrt{(4)^2} \\DE=4 units[/tex]
Get the distance from point D to point C using the distance formula:
[tex]DC=\sqrt{(2+2)^2+(n-n)} \\DC=\sqrt{(4)^2+n^2} \\DC=\sqrt{16+n^2}[/tex]
If the distance from point D to point E is equal to the distance from point D to point C, hence;
[tex]\sqrt{16+n^2}=4\\16+n^2=4^2\\n^2=16-16\\n=0[/tex]
Get the coordinate of point D(n, -2)
D = (0, -2)
Hence the value of n is 0 and the coordinate of D is at (0, -2)
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The distance from point D to point E is 4 units. The value of n is indeterminable from the information given in the question.
Explanation:In this question, we know the distance from point D to point E is equal to the distance from D to point C. Given this information, we can infer that coordinates of point E are (n, 2), while coordinates of point D are(n, -2). The distance formula on a cartesian plane is given by Distance = √[(x2-x1)² + (y2-y1)²].
Here, since D and E both have the same x-value (n), the distance between them depends only on the difference in their y-values. Therefore, the distance between D and E (and hence also D and C) is 4 units.
The value of n is irrelevant to the distance calculation, as it doesn't impact the distance between D and E or D and C. As such, it isn't possible to determine n's value given the information from the question.
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What is the standard form of this function?
f(x) = (x - 2)2 + 6
A. f(x) = x² – 8x+10
B. f(x) = x2 - 8x + 10
C. f(x) = -x² - 6x + 10
D. f(x) = x2 - 4x + 10
Answer:
D
Step-by-step explanation:
(x-2)(x-2)+6
FOIL
What is the value of y?
O A. Cannot be determined
O B. 60
O C. 36
O D. 120
HELP!
Answer: 60
Step-by-step explanation:
The three interior (inside) angles in a triangle will always add up to 180°.
60 + 60 + y = 180
120 + y = 180
-120
y = 60
60 * 3 = 180
Answer:
B. 60
Step-by-step explanation:
It is an equilateral triangle, meaning all sides and angles are equal. This also means that if the angle of point B is 60°, then the angle of points C and A are also 60°.
The regular polygon with 6 sides has a perimeter of 164. Find the length of the side of
this regular polygon.
Answer:
27 1/3
Step-by-step explanation:
The polygon has a perimeter of 164 and 6 sides.
Divide 164 by 6 sides to get the side lengths for each side.
164/6 = 27 1/3
Final answer:
To find the length of a side of a regular hexagon with a perimeter of 164 meters, you divide the perimeter by the number of sides, which results in approximately 27.33 meters per side.
Explanation:
The regular polygon in question is a hexagon since it has 6 sides. To find the length of one side of the polygon, we divide the perimeter of the polygon by the number of sides it has. The formula for the perimeter (P) of a regular polygon is P = number of sides × length of one side.
Given the perimeter (P) is 164 meters, we find the length of one side (s) by dividing the perimeter by the number of sides (6).
Length of one side (s) = P / number of sides = 164 / 6 = 27.333... meters
Therefore, the length of one side of the hexagon is approximately 27.33 meters.
What kind of triangle is this?
A.obtuse
B.supplementary
C.acute
D.right
Answer:
option D
Step-by-step explanation:
Since one of the three angles is 90° , it is a right triangle
Combine the like terms to create an equivalent expression:
- 2k - (-5) +1
Answer:
=−2k+6
Step-by-step explanation:
(happy to help)
Final answer:
Combining like terms in the expression -2k - (-5) + 1 results in -2k + 6.
Explanation:
Combine the like terms to create an equivalent expression:
Given expression: -2k - (-5) + 1
To combine like terms, simplify each part of the expression:
-2k stays as is.
-(-5) becomes +5.
1 stays as is.
Combining these simplified parts: -2k + 5 + 1 = -2k + 6
Rafael is wrapping presents for his sister's birthday party, but he is unsure how many feet of wrapping paper is left on the roll. It takes 1.3 feet of wrapping paper to wrap each gift.
If Rafael has a total of P feet of wrapping paper on the roll, which of the following expressions represents the number of presents he can wrap?
ANSWERS
A.
1.3 ÷ P
B.
1.3 × P
C.
P - 1.3
D.
P ÷ 1.3
Graph the function f(x) = (x + 1)(x - 5). Use the drop-
down menus to complete the steps needed to graph the
function
Graph: f(x) = (x + 1)(x - 5)
y
6
-4
-2
1. Identify the x-intercepts: (-1,0) and (5,0)
2. Find the midpoint between the intercepts: (2,0)
3. Find the vertex:
4. Find the y-intercept:
5. Plot another point, then draw the graph.
Draw
Click or tap the graph to plot a point.
Answer:
Vertex is (2,-9)
Y- intercept is (0,-5)
Step-by-step explanation:
The vertex of the parabola are (2, -9).
The x-intercepts: (–1, 0) and (5, 0).
The midpoints between the intercept are (2, 0).
The y-intercept is (0, -5).
What is equation of the vertex of a parabola?The equation of the vertex of the parabola;
y = a (x - h)² + k
Where h and k are the vertexes of the parabola.
Given that;
Graph the function f(x) = (x + 1)(x – 5).
Now, Comparing this to the general form, the vertex is (2, -9).
And, The x-intercept is the point where the graph intersects the x-axis or the point where y or f(x) is 0.
f (x) = 0
(x + 1) (x - 5)= 0
x = - 1
x = 5
Thus, The x-intercepts: (–1, 0) and (5, 0).
The midpoints between the intercept are;
(- 1 + 5) / 2, (0 + 0)/2
(2, 0)
Hence, The midpoints between the intercept are (2, 0).
The y-intercept is the point where the graph intersects the y axis or the point where x is 0.
f(0) = (0+1). (-5) = 1(-5) = -5
The y intercept is (0, -5).
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Write an expression to represent:
Eight less than the product of two and a number xxx.
Answer:
its 2x−82, x, minus, 8.
Step-by-step explanation:
Need help figuring this out!
Answer:
1. 10 + 10 + 10 = 30
2. 5 + 5 + 10 = 20
3. 4 + 4 + 5 = 13
4. 5 + 9 x 2 = 23
Step-by-step explanation:
I hope this helps! Stay safe and have a wonderful day! :3
Answer:
5 + 4 + 10 = 19
Step-by-step explanation:
the boy is wearing a pair of shoes and holding two popcorns.
If f(x) = -2x + 8 and g(x) = x + 7, what is
F•g)(2)?
An online pet store offers the hamster house shown in the figure below.
Choose all of the expressions that could be used to find the volume of the hamster house,
6 ft
4 ft
2 ft
3 ft
1 ft
A. (1 x 3 x 4) + (2 x 5 x 3)
B. (1 x 3) + (4 X 2) + (5 x 3)
C. (1 x 3 x 2) + (6 x 3 x 2)
D. 3 x (1 + 4) + 2 x (5+3)
E (3 x 4) +1(2 x 5) + 3
Answer:
D
Step-by-step explanation:
Answer: A And C ez
Step-by-step explanation:
Answer will get the brainliest
Simplify the expression where possible. (x 3y 2) 4
Answer:
4x 12y 8
Step-by-step explanation:
hopefully this helps you
The value of the solution of the expression (x³ y²)⁴ is, x¹² y⁸.
Used the rule of the exponent to solve the equation that states,
[tex](x^{m} )^n = x^{m \times n}[/tex]
[tex](xy)^{m} = x^m \times y^m[/tex]
Given that,
The expression is,
(x³ y²)⁴
Now apply the rule of the exponent to solve the equation as
[tex](x^3 y^2)^4[/tex]
It can be written as,
[tex](x^3 )^4 \times (y^2)^4[/tex]
Multiply the powers,
[tex](x^{3\times4} y^{2\times 4} )[/tex]
[tex]x^{12} y^{8}[/tex]
Therefore, the solution of the expression (x³ y²)⁴ is, x¹² y⁸.
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.) 3x –9y=-18
What is the answer to this
Solving steps:
3x - 9y = -18
divide both sides by 3
3x - 18 + 9y
therefore, x = 6+3y
We cannot solve this further, therefore x = 6 + 3y
A map is drawn with a scale of 1/2 inch equal to 5 actual miles. If the map distance between two cities is 8 inches, what is the real distance between these cities in miles?
A. 40 miles
B. 16 miles
C. 4 miles
D. 100 miles
E. 80 miles
Answer:
E.
Step-by-step explanation:
1 / 2 : 5
8 : 80
They are directly proportional, and 1 / 2 -> 8 = 16
5 * 16 = 80
80 Miles.
The real distance between these cities is in miles if a map is drawn with a scale of 1/2 inch is equal to 5 actual miles. If the map distance between two cities is 8 inches is 80 miles.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication. Multiply in mathematics refers to the continual addition of sets of identical sizes.
Given:
The distance between two cities = 8 inches,
The scale 1 / 2 inches or 0.5 = 5 miles
So for 1 inch, the actual distance will be 2 × 5 = 10 miles,
Hence, for 8 inches the distance will be = 8 × 10 = 80 miles,
Therefore, the real distance between these cities is in miles if a map is drawn with a scale of 1/2 inch is equal to 5 actual miles. If the map distance between two cities is 8 inches is 80 miles.
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PLEASE ANSWER (20 points) :)
Answer:
1. (x + 4)(9x + 6)
2. (3x + 6)(3x + 4)
3. (9x + 4)(x + 6)
Step-by-step explanation:
9x² + 42x + 24
9x² + 36x + 6x + 24
9x(x + 4) + 6(x + 4)
(x + 4)(9x + 6)
9x² + 30x + 24
9x² + 12x + 18x + 24
3x(3x + 4) + 6(3x + 4)
(3x + 4)(3x + 6)
9x² + 58x + 24
9x² + 54x + 4x + 24
9x(x + 6) + 4(x + 6)
(9x + 4)(x + 6)
If the class creates a histogram of the data in the table, how many students are in the range 12 cm to 13.9 cm?
00
There are 8 students in the range 12 cm to 13.9 cm
How many students are in the range
From the question, we have the following parameters that can be used in our computation:
The data values
Also, we have
Range = 12 cm to 13.9 cm
Looking through the data values, we have:
12.1, 13.5, 12.4, 13.7, 12.0, 13.8, 12.5, and 13.1
Counting these values, we have
Count = 8
Hence, there are 8 students in this range
4.)
5x+4y=-30
3x –9y=-18
What is the solution to this problem
[tex]5x + 4y = - 30 | \times ( - 3) \\ 3x - 9y = - 18 | \times 5 \\ \\ - 15x - 12y = 90 \\ 15x - 45y = - 90[/tex]
Now add 2 equations
[tex] - 57y = 0 \\ y = 0[/tex]
Now we need to put y into any equation
[tex] - 15x - 12 \times 0 = 90 \\ - 15x = 90 \\ x = - 6[/tex]
Answer: (-6;0)
Explain how to find the volume of any composite figure
Answer: you can find the composite figure's volume by finding the volumes of those combined rectangular prisms and adding them up.
Step-by-step explanation:
Answer:
Sample response: Look at the figure and take note of the types of three-dimensional figures that make it up. Find the volume of each figure. Add the volumes to find the total volume.
Step-by-step explanation:
Find the equation of the line. Use exact numbers. Please hurry
Answer:
y = -3x +7
Step-by-step explanation:
The y intercept is 7. It is where the line crosses the y axis
We also need to find the slope
We need two points (0,7) and (3,-2)
m = (y2-y1)/(x2-x1)
= (7 - -2)/(0-3)
(7+2)/(0-3)
9/-3
-3
The equation of a line is
y = mx+b where m is the slope and b is the y intercept
y = -3x +7
which are examples of varibles
Answer: usually letters are one of the variables in math (x,y) such as 7+x=10, x+4=10
Step-by-step explanation:
an element, feature, or factor that is liable to vary or change
what is the value of the expression
Answer:
Step-by-step explanation:
Multiplying bases with exponents means you have to multiply the base and add the exponent. So:
(10⁴)(5²) = 50⁶
(10³)(5³) = 50⁶
Now the equation is (50⁶/50⁶)³
Anything divided by itself will be one, so the number inside the parentheses is 1.
Now the equation is 1³, and 1x1x1 is 1.
Which correlation coefficient represents a moderate negative correlation? r = –0.04 r = –0.24 r = –0.64 r = –0.94
The correlation coefficient is a number that indicates the direction
and closeness of points of a line of best of fit.
So it tells us two things.
It tells us the direction of the line of best fit
and it tells us the closeness of the points.
Usually, anything between -0.9 and -0.6 has a moderate negative correlation. If you look at this on a graph, you will notice that the points definitely resemble a line so we say it's moderate.
It will be a negative correlation because the slope is negative.
Answer:
c. r = –0.64
Step-by-step explanation:
edgu 2020
Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.
Choose True or False for each statement about the equation.
It is equivalent to 15x – 3)(2x + 1) = 0. A
It is equivalent to (5x – 3)(2x + 1) = 0.
A
True
True
B
False
False
A solution of the equation is x =
A
True
True
B
False
A zero of the equation is 2.
A
True ®
True
B
False
False
please hurry
Answer:
It is equivalent to 15x – 3)(2x + 1) = 0. False
It is equivalent to (5x – 3)(2x + 1) = 0 True
Either x=-1/2 or 5/3
Step-by-step explanation:
Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.
It is equivalent to 15x – 3)(2x + 1) = 0. False
It is equivalent to (5x – 3)(2x + 1) = 0 True
When you take pull-out (2x+1), you will be left with (5x-3)
5x (2x + 1) - 3(2x + 1) = 0.
(2x+1)(5x-3)=0
Either 2x + 1 = 0
2x = -1
Divide both-side of the equation by 2
2x/2 = -1/2
x= -1/2
OR
5x-3 =0
5x = 3
Divide both-side of the equation by 5
5x/5 = 3/5
x = 5/3
Either x=-1/2 or 5/3
can someone help me find the surface area?
Your answer would be 56m².
To find the surface area, you need to add up the total number of squares that can be seen on the outside of the solid.
First you have the front end which is made up of 4 squares, and there would be another one on the same side, so this comes to 8m².
The surface on top contains 12 squares, and this would also be the same on the bottom of the solid, so you get 24m².
The surface on the right-hand side also contains 12 squares and would be doubled on the other side, so this also comes to 24m².
Therefore your final answer is 8 + 24 + 24 = 56m².
I hope this helps!