For this case we have that the total of objects is given by:
Large blue objects, small blue objects, large red objects and small red objects.
In total we have: [tex]17 + 3 + 8 + 12 = 4[/tex]0 objects.
If we want to find the probality of obtaining small and blue objects we have to:
[tex]p = \frac {3} {40}[/tex]
ANswer:
[tex]p = \frac {3} {40}[/tex]
Is the histogram symmetric, skewed right, or skewed left? Explain your answer .
Answer:
It’s skewed left
Step-by-step explanation:
The main mass of the graph is on the left. Follow the shape of the graph to find this
To determine if a histogram is symmetric or skewed, we assess the relative positions of the mean, median, and mode. A symmetric distribution has these three values approximately equal and the histogram's halves mirror each other. A right-skewed histogram has a tail extending right, whereas a left-skewed histogram's tail extends left.
Explanation:When analyzing whether a histogram is symmetric, skewed right, or skewed left, certain aspects of the distribution of data are considered. Symmetry in a histogram indicates that if a vertical line were drawn at some midpoint, the left and right sides would be mirror images. In a symmetric distribution, the mean, median, and mode are usually equivalent or very close to each other. To determine skewness, we look at the arrangement of these three measures: for a skew to the right, the mode is often less than the median, which is less than the mean. Conversely, a distribution skewed to the left typically has the mean less than the median, which is less than the mode.
A histogram for a right-skewed distribution will often show a tail extending to the right, indicating that larger numbers in the dataset are more spread out. On the other hand, a histogram with a left-skewed distribution will show a tail that extends to the left, which implies that the lower numbers are more spread out.
mary is solving the equation 5^x + 4 =11. her first steps are shown.
step 1. 5^x + 4 =11
step 2. 5^x =7
step3. In5^x=In7
which shows step 4?
A. In 5 = x In 7
B. x In 5 = In 7
C. ^-In 5 = In 7 * x
D. x = In 7 - In 5
Answer:
Option B. x In 5 = In 7
Step-by-step explanation:
we have
[tex]5^{x}+4=11[/tex]
step 1
[tex]5^{x}+4=11[/tex]
step 2
Subtract 4 both sides
[tex]5^{x}+4-4=11-4[/tex]
[tex]5^{x}=7[/tex]
step 3
Apply ln both sides
[tex]ln(5^{x})=ln(7)[/tex]
step 4
[tex]xln(5)=ln(7)[/tex]
step 5
Divide by ln(5) both sides
[tex]x=ln(7)/ln(5)[/tex]
PLEASE HELP ME WITH THIS MATH QUESTION
Answer:
Permutations and combinations
Step-by-step explanation:
For any three songs chosen of the 8 options would use the formula of combinations of 8 taken by 3, to find which of the 3 to play first, permutation formula
Solve for the following system of equations.
-7x+6y=9
-2x-5y+16
x=?
y=?
Answer:
x = -3 and y = -2
Step-by-step explanation:
It is given that,
-7x + 6y = 9 ----(1)
-2x - 5y = 16 -------(2)
To find the solution of given equations
eq(1) * 2 ⇒
-14x + 12y = 18 ------(3)
eq(2) * 7 ⇒
-14x - 35y = 112 ---(4)
eq (3) - eq(4) ⇒
-14x + 12y = 18 ------(3)
-14x - 35y = 112 ---(4)
0 4y = -94
y = 94/(-47) = -2
Substitute the value of y in eq (2)
-2x - 5y = 16 -------(2)
-2x - 5*-2 = 16
-2x +10 = 16
-2x = 6
x = 6/-2 = -3
Therefore x = -3 and y = -2
Answer:
[tex]x=-3\\\\y=-2[/tex]
Step-by-step explanation:
Given the system of equations [tex]\left \{ {{-7x+6y=9} \atop {-2x-5y=16}} \right.[/tex], you can use the Elimination Method to solve it.
You can multiply the first equation by -2 and the second equation by 7, then add both equations and solve for the variable "y":
[tex]\left \{ {{14x-12y=-18} \atop {-14x-35y=112}} \right.\\...........................\\-47y=94\\\\y=\frac{94}{-47}\\\\y=-2[/tex]
Substitute the value of "y" into any original equations and solve for the variable "x". Then:
[tex]-7x+6y=9\\\\-7x+6(-2)=9\\\\-7x-12=9\\\\-7x=9+12\\\\x=\frac{21}{-7}\\\\x=-3[/tex]
Parametric Equations? How do you do them? I don't even know how to graph them and its so confusing because all the equations I put in say they're not written correctly???
Answer:
A rectangular equation, or an equation in rectangular form is an equation composed of variables like x and y which can be graphed on a regular Cartesian plane.
Parametric equations are a set of equations that express a set of quantities as explicit functions of a number of independent variables, known as "parameters." For example, while the equation of a circle in Cartesian coordinates can be given by r^2=x^2+y^2, one set of parametric equations for the circle are given by
x=r cost
y=r sin
Note that parametric representations are generally nonunique, so the same quantities may be expressed by a number of different parameterizations. A single parameter is usually represented with the parameter t, while the symbols u and v are commonly used for parametric equations in two parameters.Parametric equations provide a convenient way to represent curves and surfaces, as implemented, for example, in the Wolfram Language commands ParametricPlot[{x, y}, {t, t1, t2}] and ParametricPlot3D[{x, y, z}, {u, u1, u2}, {v, v1, v2}]. Unsurprisingly, curves and surfaces obtained by way of parametric equation representations are known as parametric curves and parametric surfaces, respectively.
Also if you dont know how to graph them you can Use DESMOS graphing calculator
An action movie production team needs glass spheres to hold a green liquid that looks like an explosive. If all of the available 3,392.92 cubic inches of the liquid is to be poured into 30 glass spheres, what should the diameter of each sphere be? Assume that each sphere is filled to the top.3 inches4 inches6 inches8 inches9 inches
Answer:
6 inches
Step-by-step explanation:
3392.92 cubic inches of liquid distributed in 30 spheres would give each sphere's volume to be:
[tex]\frac{3392.92}{30}=113.1[/tex]
Now we equate 113.1 to the formula for volume of a sphere and solve for r:
[tex]\frac{4}{3}\pi r^3=113.1\\r^3=\frac{113.1}{\frac{4\pi}{3}}\\r^3=27\\r=\sqrt[3]{27} =3[/tex]
The radius of each of those spheres is 3
We know diameter is twice the radius , so diameter would be 3 * 2 = 6 inches
Answer:
6 inches
Step-by-step explanation:
I just took a test on Plato/Edmentum with this question and this was the right answer
~Please mark me as brainliest :)
Danny draws a transversal, t, on two parallel lines AB and CD, as shown below:
He makes the following table to prove that the alternate interior angles are equal:
Which is the missing justification? (6 points)
Corresponding angles formed by a transversal on parallel lines are supplementary.
Corresponding angles formed by a transversal on parallel lines are congruent.
Co-interior angles formed by a transversal on parallel lines are congruent.
Co-exterior angles formed by a transversal on parallel lines are congruent.
Answer: second option.
Step-by-step explanation:
When two parallel lines are intersected by a third line (which is called "Transversal"), the angles that are of the same side of the transversal (but one located in interior and the other one located in the exterior), are known as "Corresponding angles".
Corresponding angles are congruent.
You can observe that the angle 2 and the angle 6 are Corresponding angles. Therefore, the missing justification is: "Corresponding angles formed by a transversal on parallel lines are congruent."
Answer:
Corresponding angles formed by a transversal on parallel lines are congruent.
Wich of following is(are) the solution(s) to |x+3| = 12
Answer: x=9
the answer to this is
x=9,-15
Answer:
x={9,-15}
Step-by-step explanation:
|x+3|=12 means
x+3 could be 12 or -12 since |12|=12 and |-12|=12 are true
x+3=12 x+3=-12
x=12-3 x=-12-3
x=9 x=-15
What is the measure of RCD in the figure below?
Answer:
35 degrees.
Step-by-step explanation:
Triangles PDC and RDC are congruent ( By HL - The hypotenuse and one leg are equal).
Therefore m < RCD = 35 degrees.
The measure of of RCD in the figure is 35 degrees.
What is congruence?
Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.
In PDC and RDC,
angle DPC= angle DRC
CD=CD
PD=DR
By SAS congruence criteria,
ΔPDC ≈ ΔRDC
PCD= RCR= 35. (CPCT)
Learn more about congruence here:
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Use long division or synthetic division to find the quotient of
Answer:
2x^2-x+1
Step-by-step explanation:
Answer:
2x² - x + 1
Step-by-step explanation:
[tex]\frac{(2x^{2}-x+1)(x+1)}{(x+1)} = 2x^{2}-x+1[/tex]
Kendra's water bottle contains 2 quarts of water. She wants to add drink mix to it, but the directions for the drink mix give the amount of water in fluid ounces. How many fluid ounces are in her bottle?
Answer: 64 fluid ounces
Step-by-step explanation:
See paper attached. (:
Find the distance between these points. R(-1, 0), S(8, 6) √(26) √(85) 3√(13)
Answer:
[tex]|RS|=3\sqrt{13}[/tex] units.
Step-by-step explanation:
The distance between the two given points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by:
[tex]d=\sqrt{(x_2-x-1)^2+(y_2-y_1)^2}[/tex]
We want to find the distance between R(-1, 0) and S(8, 6).
We plug in these points into the distance formula to get:
[tex]|RS|=\sqrt{(8--1)^2+(6-0)^2}[/tex]
[tex]|RS|=\sqrt{(9)^2+(6)^2}[/tex]
[tex]|RS|=\sqrt{81+36}[/tex]
[tex]|RS|=\sqrt{117}[/tex]
[tex]|RS|=3\sqrt{13}[/tex] units.
Which graph correctly solves the system of equations below? y = − x2 + 1 y = x2 − 4
A) quadratic graph opening up and quadratic graph opening down. They do not intersect.
B) quadratic graph opening up and quadratic graph facing down. They intersect at negative 2, negative 3 and 2, negative 3.
C) Two intercepting parabolas are shown, one facing downward and one facing upward. The downward facing parabola has a maximum at (0,1) and intercepts the x axis at 1 and negative 1. The upward facing parabola has a minimum at (0,-4) and intercepts the x axis at 2 and negative 2
D) two quadratic graphs opening up. They intersect at 0, negative 4.
Answer:
C) Two intercepting parabolas are shown, one facing downward and one facing upward. The downward facing parabola has a maximum at (0,1) and intercepts the x axis at 1 and negative 1. The upward facing parabola has a minimum at (0,-4) and intercepts the x axis at 2 and negative 2
Step-by-step explanation:
As shown in the attached, the graph of y = -x² +1 has its vertex at (0, 1) and opens downward. It crosses the x-axis at ±1. The graph of y = x² -4 has its vertex at (0, -4), opens upward, and crosses the x-axis at ±2. The description of this graph matches choice C.
PLEASE HELP! I'm on a time limit!! Identify the translation of the figure with the vertices L(1,−1), M(4,−3), and N(3,−5), along the vector ⟨2,5⟩.
L ′(3, 4), M ′(2, 6), N ′(5, 0)
L ′(3, 4), M ′(6, 2), N ′(5, 0)
L ′(1, 3), M ′(6, 2), N ′(0, 5)
N ′(3, 4), M ′(6, 2), N ′(5, −1)
Answer:
It's the second option.
Step-by-step explanation:
You add 2 to the x coordinate and 5 to the y coordinate.
So L' = (1 + 2, -1+5)
= (3, 4).
Answer:
L ′(3, 4), M ′(6, 2), N ′(5, 0)
A recipe for a batch of 3 dozen chocolate chips cookies calls for 3 cups of flour, 1 cup of sugar, and 2 cups of chocolate chips. How much of each ingredient should be used to make 2 dozen cookies?
bearing in mind that a whole is simply same/same or just 1.
3 dozen, there are 3 dozens in 3 dozen, obviously
dozen dozen dozen.
in 2 dozens, there are 2 of course
dozen dozen.
if 3 dozens is three thirds namely 3/3 = 1 = whole, then 2 dozens is just two of those dozens, namely two thirds, 2/3.
so if we use that many ingredients to make a whole three thirds, how much will it be to make only two thirds of it? well, is simply their product, so we'll simply multiply each ingredient amount by 2/3.
[tex]\bf \stackrel{flour}{3\cdot \frac{2}{3}}\qquad \stackrel{sugar}{1\cdot \frac{2}{3}}\qquad \stackrel{chips}{2\cdot \frac{2}{3}}\qquad \implies \qquad \stackrel{flour}{2}\qquad \stackrel{sugar}{\frac{2}{3}}\qquad \stackrel{chips}{\frac{4}{3}}[/tex]
The product is k2 – k + .
Come on, now. Incomplete question.
Answer:
is it late now
Step-by-step explanation:
What are the sine, cosine, and tangent of 11pi over 6? 11π/6
Answer:
sin(11π/6) = -1/2cos(11π/6) = (√3)/2tan(11π/6) = -1/√3 = -(√3)/3Step-by-step explanation:
The reference angle is π/6, and the angle is in the 4th quadrant. So, sine and tangent will be negative while cosine is positive. You have memorized the values of trig functions for π/6, so you know ...
sin(π/6) = 1/2cos(π/6) = (√3)/2tan(π/6) = 1/√3Adjusting the signs to match those required for a 4-th quadrant angle, you have ...
sin(11π/6) = -1/2cos(11π/6) = (√3)/2tan(11π/6) = -1/√3The probability that an event will occur is 7/8 which of these best describes the likehood of the even occurring
Very Likely
think of it this way
you have a 7/8 chance of getting electrocuted by sticking your hand in the toaster
you have a 1/8 chance of this event not occurring when you stick said hand in the toaster
so its VERY LIKELY that you will be electrocuted if you stick your hand in a toaster
hope that helps!
What is true of the function g(x) = –2x2 + 5? G(x) is the multiplication of g and x. –2x2 +5 is the input of the function. The variable x represents the independent variable. The variable g represents the input of the function
Answer:
See below.
Step-by-step explanation:
The variable x represents the independent variable. The dependent variable is the function g(x) . The value of g(x) depends on the value of x.
Answer:
The variable x represents the independent variable ( C )
Step-by-step explanation
How long will it take to earn $1800 in interest if $6000 is invested at a 6% annual interest rate? how many years
Answer:
Total interest will $1800 after 5 years.
Step-by-step explanation:
It is given that the principle amount is $6000.
Rate of interest rate is 6% per annum.
Total interest is $1800.
Formula for simple interest is
[tex]I=\frac{P\times r\times t}{100}[/tex]
Where, P is principle, r is rate of interest in percent and t is time in years.
Substitute P=6000, r=6 and I=1800 in the above formula.
[tex]1800=\frac{6000\times 6\times t}{100}[/tex]
[tex]1800=\frac{36000t}{100}[/tex]
[tex]1800=360t[/tex]
Divide both sides by 360.
[tex]\frac{1800}{360}=t[/tex]
[tex]5=t[/tex]
Therefore the total interest will $1800 after 5 years.
Answer:
b. 5 years
Step-by-step explanation:
If h represents the number of hours the Sun was up today, which quantity is represented by the function ?
the number of minutes the Sun was up today
the number of hours the Sun was down today
the number of minutes the Sun was down today
the fraction of the time the Sun was up today
Let h = number of hours the Sun was up today.
There are 24 hours in one day.
So, we are looking at the fraction h/24.
Answer: The fraction of the time the Sun was up today.
The function that multiplies the number of hours the Sun was up (h) by 60 represents the number of minutes the Sun was up today.
Explanation:If h represents the number of hours the Sun was up today, to calculate the number of minutes the Sun was up, we would multiply h by 60, since there are 60 minutes in an hour. Therefore, the function that multiplies h by 60 will give us the number of minutes the Sun was up today. On the contrary, to find the number of hours the Sun was down today, we would typically take the total number of hours in a day, which is 24, and subtract h from it. To represent the fraction of the time the Sun was up today, we would use the ratio of h to 24, since there are 24 hours in a whole day. Thus, the correct quantity represented by the function when h is multiplied by 60 is the number of minutes the Sun was up today.
PLZ HELP MARKIN BRAINIEST!!!
Answer:
d. (x - 5)(x - 5)
Step-by-step explanation:
x² - 10x + 25
we look for a two number when added gives you the sum -10 and when multiplied gives you the product 25
sum = - 10
product = 25
the two numbers are
-5,-5
x² - 5x - 5x + 25
(x² - 5x) (- 5x + 25)
x(x-5)-5(x-5)
(x-5)(x-5)
Hope this helps and if it does mark as brainliest.thx
Answer:
[tex]\large\boxed{x^2-10x+25=(x-5)(x-5)}[/tex]
Step-by-step explanation:
[tex]x^2-10x+25=x^2-2(x)(5)+5^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\=(x-5)^2=(x-5)(x-5)[/tex]
The result in a probability experiment is called an
Answer:
Step-by-step explanation:
outcome
If the volume of the rectangular prism is represented by 6x2 – 2x + 8 and the base area is 2x – 4, which expression represents the height?
The expression that represents the height of the rectangular prism is 3x + (10 / (2x - 4)) found by dividing the given volume expression by the base area expression.
To find the expression that represents the height of the rectangular prism, we need to rearrange the formula for the volume of a prism, which is Volume = Base Area x Height. Given the volume of the rectangular prism as 6x^2
- 2x + 8 and the base area as 2x - 4, we divide the volume by the base area to find the height:
Height = Volume / Base Area
Height = (6x^2 - 2x + 8) / (2x - 4)
This simplifies to:
Height = 3x + (10 / (2x - 4))
Therefore, the expression that represents the height is 3x + (10 / (2x - 4)).
Alicia needs to purchase carpet to cover a triangular space. The space has a base length of 10 ft. and a height of 6.4 ft.How many square feet of carpet does Alicia need to cover the space?
Answer:
32
Step-by-step explanation:
Alicia needs 32 square feet of carpet to cover the space.
What is area of triangular space?Area of triangular space is 1/2 * length * height.
Given, space has base length of 10 ft. and a height of 6.4 ft.
Using the formula,
Area of triangular space is 1/2 * length * height = 1/2 * 10 * 6.4
= 32 square feet
Hence , Alicia needs 32 square feet of carpet to cover the space.
To learn more about the triangular spaces ;
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2 square root of 4 equals
[tex]2\sqrt4=2\cdot2=4[/tex]
Answer:
4
Step-by-step explanation:
2√4 = 2√(2^2) = 2·2 = 4
__
Or, any calculator can help you with this. The Google search box serves as input to that calculator.
Why does the PCI require banks to protect customers’ card data?
A.
to protect banks from hackers and malware
B.
to help improve the cyber community
C.
to establish good practices in the banking community
D.
to protect consumers from online fraud and theft
Answer:
D. to protect consumers from online fraud and theft
Step-by-step explanation:
The point of protection of personal identifying and financial data is to prevent fraud and theft.
___
The reason why hackers and malware attack banks is to get to data that would enable fraud and theft. "Good practices" prevent such data compromise, so protecting customers from fraud and theft.
Answer:
Why does the PCI require banks to protect customers’ card data?
A.
to protect banks from hackers and malware
B.
to help improve the cyber community
C.
to establish good practices in the banking community
D.
to protect consumers from online fraud and theft
Step-by-step explanation:
#platofam
Graph the following system of linear inequalities. Identify at least two points in the solution: y < 5 - 2x | x + 5y > -7
Answer:
(1,2) and (2,-1)
Step-by-step explanation:
we have
[tex]y< 5-2x[/tex] ----> inequality A
The solution of the inequality A is the shaded area below the dashed line [tex]y=5-2x[/tex]
[tex]x+5y>-7[/tex] ---->inequality B
The solution of the inequality B is the shaded area above the dashed line [tex]x+5y=-7[/tex]
The solution of the system of inequalities is the triangular shaded area between the two dashed lines
If a ordered pair is a solution of the system of inequalities, then the ordered pair must lie on the shaded area
Two points in the solution are(1,2) and (2,-1)see the attached figure
if WXYZ is a square, which statements must be true? plz help <3
Answer with step-by-step explanation:
A. WX is perpendicular to XY - TRUE:
(since X is adjacent to X and Y and all angles are 90 degrees in a square, therefore WX is perpendicular to XY)
B. ∠W is congruent to ∠X - TRUE:
(all angles in a square are equal to each other)
C. ∠W is supplementary to ∠X - TRUE:
(∠W and ∠X both are right angles which add up to 180 degrees so they are supplementary angles)
D. WXYZ is a rhombus - TRUE:
(a rhombus has all sides equal in length and so has a square so it is a rhombus)
E. WXYZ is a trapezoid - FALSE:
(a trapezoid has only one pair of parallel sides while a square has two pairs of parallel sides)
F. WX is parallel to YZ - TRUE:
(WX and YZ are parallel to each other)
The value of a collector’s item is expected to increase exponentially each year. the item is purchased for $500. after 2 years, the item is worth $551.25. which equation represents y, the value of the item after x years? y = 500(0.05)x y = 500(1.05)x y = 500(0.1025)x y = 500(1.1025)x
Answer:
[tex]y=500(1.05)^x[/tex]
Step-by-step explanation:
The standard form for an exponential equation is
[tex]y=a(b)^x[/tex]
We have 2 unknowns, a and b, but that's all good because we have 2 (x, y) coordinates we can utilize in order to find a and b. In our coordinate pair, x is the number of years gone by and y is the value after that number of years. The problem tells us that an item was purchased for $500. That translates to "before any time has gone by, the initial value of the item is $500". In other words, with x being time, no time has gone by, so x = 0. When x = 0, y = 500. (0, 500). Do the same for the next set of numbers. When x = 2 years gone by, the value is $551.25, so the coordinate is (2, 551.25). Now we use them to find a. Use the first coordinate:
[tex]500=a(b)^0[/tex]
Anything raised to the 0 power = 1, therefore:
[tex]500 = a(1)[/tex] and a = 500.
Now onto the next coordinate point using the a value we just found:
[tex]551.25 = 500(b)^2[/tex]
Divide both sides by 500 to get
[tex]1.1025=b^2[/tex]
so b = 1.05.
Now we have the values for a and b, so we fill in:
[tex]y = 500(1.05)^x[/tex]