the answer would be 0.08333… or 1/12
(from my own work it would be ,I'm not saying its right or wrong though)
The probability that Terry randomly chooses an outfit with black pants and a yellow shirt is 1 out of 12, calculated by dividing the number of favorable outcomes (1) by the total possible outcomes (12).
The question revolves around basic probability. Terry has three pairs of pants and four shirts, meaning there are a total of 3 x 4 = 12 possible outfits. Since only one outfit consists of black pants and a yellow shirt, the probability of selecting this combination is therefore 1 out of 12.
The formula used to calculate this probability is the number of favorable outcomes divided by the total number of possible outcomes. In this case, the favorable outcome (black pants with a yellow shirt) is just one, and the total number of possible outfits is twelve.
Which graphical display is best used to organize numerical data in ascending order?
scatter plot
line graph
box-and-whisker plot
stem-and-leaf plot
Answer:
line graph
Step-by-step explanation:
Line graphs easily help the visual learner to interpret data and understand peaks and decreases in certain levels. It connects data points and allows people to see what is actually going on.
Answer:
line graph
Step-by-step explanation:
The explanations of each plot are:
Scatter plot
It is used to see the correlation between two variables. The correlation can be positive (increases), negative (decreases) or zero (no correlation at all). This plot can be used to draw a trend line to study the correlation between variables using an equation, generally a line and which prosses is call line regression.
Line graph
Is like the scatter plot but instead of leaving the data or points without connection the line graph connects the points, representing the data, with a line, so to easily show a tendency between variables, which generally tends to increase.
This plot is an easy way to show a tendency, but the scatter plot can give more statistical information about a correlation between variables.
box-and-whisker plot
Shows the median and the quartiles of the data, i.e. shows a interval in which the recollected data can be found and its frequency of repetition.
stem-and-leaf plot
Allows to simultaneously see the frequency distribution of the variable and its graphic representation and its constructed by separating, in each data, the last digit of the right (the leaf) to the remaining digits (the Stem).
So, to easily show numerical data in ascending order it can be used the line graph, but it can be used de scatter plot to give deeper statistical information too.
A gym membership cost $19 each month. If Miss Lacey joins the gym for one year, will she pay more or less than $190? Explain your answer
Answer: more then 190
Step-by-step explanation:
if you multiply $19 by 12 (12 months in a year) you get $228
Miss Lacey will have to pay more than $190 for the gym membership.
What is multiplication?A product is the result of the multiplication, an expression that identifies factors to be multiplied.
How to calculate gym membership fees?Miss Lacey is paying $19 p.m for the gym membership fees. So she will have to pay for one year =19*12 because there are 12 months in a year.
=218
which is greater than $218.
Hence Miss Lacey will have to pay more than $190 for the gym membership fees.
Learn more about multiplication at https://brainly.com/question/10873737
#SPJ2
complete the congruence statement
Angle Y equals Angle S
If f(x)= square root 4x+9+2which inequality can be used to find the domain of f(x)?
Answer:
The domain is
x ≥ -11/4
Step-by-step explanation:
Please, see attached images below
The equation is
f(x) = √(4x+9+2)
f(x) = √(4x+11)
Since the argument of the root must be positive or equal to zero
4x +11 ≥ 0
x ≥ -11/4
The domain is
x ≥ -11/4
I need to know what’s the answer to this problem
Answer:
radius = 16 inches
C = 32pi or approximately 100.48 inches
Step-by-step explanation:
We know the diameter is twice the radius
d = 2r
32 = 2r
Divide each side by 2
32/2 =2r/2
16 =r
The radius is 16 inches
The circumference is equal to
C = pi * diameter
C = pi *32
C = 32 pi inches
Letting pi be approximated by 3.14
The circumference is approximately 100.48 in
The radius is 16 inches.
This is because the radius is half the diameter and since we know that the diameter is 32 inches you just have to divide it by 2.
The circumference is 32 pi
This is because the circumference is 2 times pi times radius. This means that is is diameter times pi. This is because we know that that 2 times the radius is equal to the diameter.
I need help ASAP please
Answer:
A: addition property of equality
Step-by-step explanation:
HELP ME PLEASE WILL MARK!
Answer:
A
Step-by-step explanation:
A is correct. This absolute value is the distance (unsigned) between -2/3 and +5/3, which is 7/3. Note that This distance is | 5/3 - (-2/3) |, or 7/3.
what the mean "let bygone be bygone"
Answer:
let the past stay in the past
Step-by-step explanation:
Eliminate the parameter. X=t-3, y= 2/t+5
To get the system of equations in terms of x and y, solve for any other parameters and substitute back into the other equations.
y=2/x+8
Eliminate the parameter:
Given the parametric equations x = t-3 and y = 2/(t+5).Substitute t from the first equation into the second to eliminate the parameter t.The relation between x and y after eliminating the parameter t is x = (y-2)/2 - 3.Last week Bryan traveled 4 miles by a bus, 18 miles by a train, 11 miles by a van, 33 miles by a car, 7 miles by a bike and walked 2 miles.
What is the range in miles for the different ways that Bryan traveled?
FOUND ANSWER: 31
Answer:
[tex]\boxed{\text{[2, 33]}}[/tex]
Step-by-step explanation:
The range is the spread of the y-values (minimum to maximum distance travelled).
The minimum is 2 mi, and the maximum is 33 mi, so the range is from 2 to 33.
In interval notation, the range is [tex]\boxed{\textbf{[2, 33]}}[/tex]
Answer:
31
Step-by-step explanation:
31
The range is the difference between the largest and smallest number.
range = biggest − smallest = 33 − 2 = 31
Help me asap!!!!! Very important!!
Answer:
strong negative linear correlation-0.986Step-by-step explanation:
You need to notice that when altitude goes up, temperature goes down. That means the correlation is negative.
The table shows the temperature decrease to be monotonic (nowhere does it go up when altitude increases), so the correlation is strong.
The strong negative correlation number available to you is -0.986.
___
If you want confirmation, you can put the numbers into your favorite graphing calculator and tell it to compute the correlation for you.
|5x-4|>16 solutions
Answer:
x >4 or x < -12/5
Step-by-step explanation:
An absolute value has 2 solutions, a positive and a negative. Remember to flip the inequality for the negative solution
|5x-4|>16
5x-4 > 16 5x-4 < -16
Add 4 to each side
5x-4 +4> 16+4 or 5x-4+4 < -16+4
5x > 20 or 5x < -12
Divide each side by 5
5x/5 > 20/5 or 5x/5 < -12/5
x >4 or x < -12/5
The weights of nine different cats in pounds were used to create the box plot above. Which of the following is the interquartile range of the set of weights?
A. 11
B. 3
C. 1.5
D. 7
Answer:
the answer is B: 3
Step-by-step explanation:
you look at the verticle line on the left side of the box which represents the lower quartile then to the right of the verticle line represents the upper quartile
To find the interquartile range, subtract the lower quartile, 9.5, from the upper quartile, 12.5
12.5 - 9.5 = 3
By visual inspection, determine the best-fitting regression model for the data plot below.
A) Exponential
B) No pattern
C) Linear decreasing
D) Linear increasing
Answer:
A) exponential
Step-by-step explanation:
It is in a curving pattern which indicates exponential. Linear is a straight line.
The best-fitting regression model for the considered data plot is given by: Option A: Exponential.
What is fitting of curve for a data plot?When the data shows some trend, either linear (making a line), or non-linear (a predictable curve), we fit a mathematical curve on that data set, as a representative of the pattern in that data set, to predict the output based on the inputs.
The considered plot is not forming a straight line(so no linear fitting), but we can see that a smooth curve can be fitted in the considered data. Since the exponential functions' graph approximately goes the same way (for positive exponent, and increasing value of output).
Thus, the best-fitting regression model for the considered data plot is given by: Option A: Exponential.
Learn more about exponential functions here:
https://brainly.com/question/15680851
Teresa's bread recipe uses 18 cups of flour and 6 cups of sugar to make some bread. What is the ratio of sugar to flour in lowest terms?
HALPPPPP QUICKLY PLZ, IF U CAN! :) PLLLLLLLLEEEEEEEAAASSSSEEEEE
Answer:
The ratio of sugar to flour in it's lowest terms is 1:3.
4(x+1.5)=38 solve for x
Answer:
x = 8
Step-by-step explanation:
4(x+1.5)=38
Distribute the 4
4x +6 = 38
Subtract 6 from each side
4x+6-6 = 38-6
4x = 32
Divide each side by 4
4x/4 = 32/4
x = 8
How do you evaluate -10 to the second power?
Answer:
100.
Step-by-step explanation:
( -10 )^ 2 = ( -10 )( -10 ).( -10 )( -10 ) = 100.These are all of the steps to completely and correctly solve this question.
Hope this helps!!!
Kyle.
Which determinants can be used to solve for x and y in the system of linear equations below?
Answer:
The right answer is the first answer
Step-by-step explanation:
Look to the attached file
Answer:
The correct answer option is A. [tex]|A|=\begin{vmatrix}-3 &2 \\ 4&-15 \end{vmatrix}\\\\\\|A_{x}|=\begin{vmatrix}-9 &2 \\ -25 &-15 \end{vmatrix}\\\\\\|A_{y}|=\begin{vmatrix}-3 &-9 \\ 4 &-25\end{vmatrix}[/tex].
Step-by-step explanation:
We are given the following system of linear equations:
[tex]-3x+2y=-9[/tex]
[tex]4x-15y=-25[/tex]
We can create a matrix AX = b where A is a 2×2 matrix created by the coefficients of x and y and b is a 2×1 matrix formed by the term after equality.
So the correct answer option is:
[tex]|A|=\begin{vmatrix}-3 &2 \\ 4&-15 \end{vmatrix}\\\\\\|A_{x}|=\begin{vmatrix}-9 &2 \\ -25 &-15 \end{vmatrix}\\\\\\|A_{y}|=\begin{vmatrix}-3 &-9 \\ 4 &-25\end{vmatrix}[/tex]
Given:f=(5,- -1/5) and g=(-1,3/10) find 3f+5g
Given:
OH
⊥
BC
, OB=10,
OH=6, EF=9, AB=2
Find: AE.
Answer:
AE=3
Step-by-step explanation:
1. Consider right triangle BOh. In this triangle, OB=10 (hypotenuse), OH=6 (leg), then by the Pythagorean theorem,
[tex]BH^2=BO^2-OH^2\\ \\BH^2=10^2-6^2\\ \\BH^2=100-36\\ \\BH^2=64\\ \\BH=8.[/tex]
2. Since OH⊥BC, then BC=2BH=16.
3. Use the secants property: If two secant segments are drawn to a circle from the same external point, the product of the length of one secant segment and its external part is equal to the product of the length of the other secant segment and its external part.
Thus,
[tex]AE\cdot FA=AB\cdot AC.[/tex]
So,
[tex]AE\cdot (AE+9)=2\cdot (2+16)\\ \\AE(AE+9)=36\\ \\AE^2+9AE-36=0\\ \\D=9^2-4\cdot (-36)=81+144=225\\ \\AE_{1,2}=\dfrac{-9\pm\sqrt{225}}{2}=-12,\ 3.[/tex]
The segment cannot be of negative length, therefore, AE=3.
Intersecting Secant Theorem helps to establish the relation between two secants of a circle. The length of the side AE will be equal to 3 units.
What is Intersecting Secant Theorem?When two line secants of a circle intersect each other outside the circle, the circle divides the secants into two segments such that the product of the outside segment and the length of the secant are equal to the product of the outside segment and the other secant's length.
a(a+b)=c(c+d)
If we look into the triangle BOH, then the length of the side BH using the Pythagoras theorem can be written as,
[tex]OB^2=OH^2+BH^2\\\\10^2 = 6^2 + BH^2\\\\BH= 8\rm\ units[/tex]
Now, the length of BC will be twice the length of BH, therefore, the length of the line BC can be written as,
[tex]\text{Length of BC} = 2 \times (\text{Length of BH})\\\\\text{Length of BC} = 2 \times 8 = 16\rm\ units[/tex]
Now, using the Intersecting secant theorem the length of AE can be written as,
[tex](AB \times AC) = (AE \times FA)\\\\2(2+16) = AE(AE+9)\\\\36=AE^2+9AE\\\\AE^2+9AE-36 = 0\\\\AE^2+12 AE - 3AE -36=0\\\\AE(AE+12)-3(AE+12)=0\\\\(AE-3)(AE+12)=0\\\\AE = 3, -12[/tex]
Since the length can not be negative, therefore, the length of the side AE will be equal to 3 units.
Learn more about Secant:
https://brainly.com/question/10128640
(07.02 LC)
Ash recycles 7 plastic bottles every week. Which expression shows the total number of plastic bottles he recycles in w weeks? (1 point)
7 + w
7 + 7w
7w
w over 7
Answer: 7w
Step-by-step explanation:
In one week, Ash recycles 7 * 1 = 7 bottles
In two weeks, Ash recycles 7 * 2 = 14 bottles
So, in w weeks, he recycles 7 * w = 7w bottles!
Hope this helps!
Answer:
7w is the correct answer
Step-by-step explanation:
If P (x,y) is the point on the unit circle defined by real number 0, then csc0=_.
Answer:
cscθ = [tex]\frac{1}{y}[/tex]
Step-by-step explanation:
cscθ = [tex]\frac{Hypotenuse}{opposite}[/tex]
For a unit circle, radius = 1
hence, hypotenuse = 1
opposite = y
cscθ = [tex]\frac{1}{y}[/tex]
Which expression could be used to find the distance between point A and point B?
(A) |-4-1|
(B) |-4-(-1)|
(C) |-1+4|
(D) |-1-(-4)|
Answer:
D
Step-by-step explanation:
because it seem to be correct
D is the answer.....!!!!!
4th grade math and idk how to do it!!!
The answer would be 4/10.
3/10 + 4/10 = 7/10
Answer:
[tex]\frac{4}{10}[/tex] or when it's simplified [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
[tex]\frac{7}{10} - \frac{3}{10}=\frac{4}{10}=\frac{2}{5}[/tex]
What's the correct answer?
I think it's C but don't quote me on that I don't know
What’s the square root of 678
Answer:
sqrt(678)=
26.0384331
Step-by-step explanation:
For this case we must find the value of the following expression:
[tex]\sqrt {678}[/tex]
This expression can not be simplified. Its excata form is the same. On the other hand, if we introduce this expression in a calculator, we find that the decimal form of the expression is: 26.0384
Answer:
26.0384
Enrollment in French class at a high school is 0.72 of enrollment in Spanish class. What is enrollment in French class compared to Spanish class as a fraction and as a percent?
Final answer:
The enrollment in the French class compared to the Spanish class is 18/25 as a fraction and 72% as a percent.
Explanation:
To find the enrollment in the French class compared to the Spanish class as a fraction, we need to use the information given that enrollment in French class is 0.72 of enrollment in Spanish class. This means that for every 1 student in the Spanish class, there are 0.72 students in the French class.
To represent this as a fraction, we can write it as 0.72/1 or simply 72/100. Simplifying this fraction gives us 18/25.
To find the enrollment in the French class compared to the Spanish class as a percent, we can convert the fraction 18/25 to a percent. To do this, we divide 18 by 25 and multiply by 100. This gives us 72%.
look at picture and plzz help me
Answer: A
Step-by-step explanation:
factor out the greatest perfect foot factorthe root of a product is equal to the product of the roots of eachotherreduce the index of the radical and exponet with 5For this case we must simplify the following expression:
[tex]\sqrt [5] {224x ^ {11} * y ^ 8}[/tex]
We follow the steps below:
We rewrite 224 as the product of: 32 * 7
[tex]\sqrt [5] {32 * 7 * x ^ {11} * y ^ 8} =[/tex]
We rewrite [tex]32\ as\ 2 ^ 5, x^{11}\ as\ x * x^{10}:[/tex]
[tex]\sqrt [5] {2 ^ 5 * 7 * x ^ {10} * x * y ^ 8} =[/tex]
We rewrite [tex]x^{10}[/tex] as [tex](x ^ 2) ^ 5,[/tex] we also rewrite [tex]y ^ 8[/tex] as [tex]y ^ 5 * y ^ 3:[/tex]
[tex]\sqrt [5] {2 ^ 5 * 7 * (x ^ 2) ^ 5 * x * y ^ 5 * y ^ 3} =[/tex]
We reorder:
[tex]\sqrt [5] {2 ^ 5 * (x ^ 2) ^ 5 * y ^ 5 * 7 * x * y ^ 3} =\\\sqrt [5] {(2 * x ^ 2 * y) ^ 5 * (7 * x * y ^ 3)} =[/tex]
We take the terms of the radical considering that: [tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]
[tex]2 x ^ 2y \sqrt [5] {7 x y ^ 3}[/tex]
Answer:
Option A
Use a substitution to differentiate the expression with respect to x:
[tex] \frac{1}{x + 1} + x[/tex]
[tex]\bf y=\cfrac{1}{x+1}+x\qquad \qquad \begin{cases} u=x+1\\ \frac{du}{dx}=1\\[-0.5em] \hrulefill\\ u-1=x \end{cases}\qquad \qquad y=\cfrac{1}{u}+(u-1) \\\\\\ y=u^{-1}+u-1\implies \cfrac{dy}{du}=\stackrel{\textit{chain-rule}}{-u^{-2}\cdot \cfrac{du}{dx}}+\stackrel{\textit{chain-rule}}{1\cdot \cfrac{du}{dx}}+0 \\\\\\ \cfrac{dy}{dx}=-\cfrac{1}{u^2}\cdot 1+1\cdot 1\implies \cfrac{dy}{dx}=-\cfrac{1}{u^2}+1\implies \cfrac{dy}{dx}=-\cfrac{1}{(x+1)^2}+1[/tex]
Please help please help
Answer:
D
Step-by-step explanation:
The tenth column value is the first after the decimal point, that is 3
To round the required value of 3
• If the value following 3 ≥ 5, round 3 up to 4
• If the value following 3 < 5 , then leave as 3
Here the value following 3 is 5 so round 3 up to 4
All other digits remain unchanged.
Thus
3, 295.351 ≈ 3, 295.4 → D