First, classify each line segments of triangle that are the same in both triangles.
RS = XU
RT = XW
ST = WU
Second, divide to find the scale ratio.
7.5/3 = 2.5
16/6.4 = 2.5
15/6 = 2.5
Since the scale ratios are identical, the triangles are similar.
Therefore, the answer is [ Yes, the sides are in the ratio 2:5 ]
Best of Luck!
Miriam has 3 packages of pencils. Each
package has 6 pencils. She needs an
eraser for each pencil. How many erasers
will she need to buy?
Tell which OPERATIONS you will use. Then
solve the problem. (Very important).
Answer:
18
Step-by-step explanation:
you will use multiplication
3(packages of pencils)×6(pencils)=18pencils
so she will need 18 erasers for each pencil
If $22,000 is invested in an account earning 4.5% interest compounded continuously,
determine how long it will take the money to quadruple. Round to the nearest year.
Use the model A = Pet where A represents the future value of P dollars invested at
an interest rate r compounded continuously for t years.
OA) 31 years
B) 36 years
C) 3 years
D) 308 years
Answer:
approx 32years so pick answer A
Step-by-step explanation:
22000x4=88000
22000x1.045^t
22000x1.045^31=84,104
22000x1.045^32=89,979
Question 14 (Essay Worth 12 points)
(Comparing Data HC)
The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.
Sky View School
9, 7, 2,0
8, 7, 6, 5, 5, 5, 4, 3, 1, 0
0
1
South Lake School
5,8
0, 1, 2, 6, 6, 8
2
0 3
Key: 2|1|0 means 12 for Sky View and 10 for South Lake
5, 5, 6, 7, 8
0,6
Part A: Calculate the measures of center. Show all work. (5 points)
Part B: Calculate the measures of variability. Show all work. (5 points)
Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (2 points)
7
write the missing digits to make this addition correct
_2_+_2=200
Answer:
128 + 72 = 200
Step-by-step explanation:
Start from the ones. And go next to tens and last find the hundreds.
see image.
PLEASE HELP PICTURE ATTACHED
Answer:
x=\(\frac{13}{30}+i\frac{\sqrt{251}}{30}\)
Step-by-step explanation:
Answer:
I do not fully understand this question so I will try to answer it the best I can.
25x^2-10x^2-13x=-7
15x^2-13x=-7
That is the question simplified. The part that you need to do from here is to figure out what x is. A way you can do that is by plugging in different solutions of what x could be until you find a solution that fits into the equation. I can't help that much but I hope that my solution helps.
Helppp plzzz I have to submit it today. Look at the figure.
D
480
E
73)
w
G
F
How can you determine the measures of ZDGE and GF.
Answer:
angle DGE= 24 Degree
arc GF= 146degree
Step-by-step explanation:
angle DGE is inscribed in arc DE and arc DE is 48 degree , as we know inscribed angle is half of the arc subyending it , so half of 48 is 24 degree
arc GF subtended the angle GEF which is equal to 73 degree , and this angle is inscribed , if we say inscribed angle is half of the arc subtending it , this means the arc is twice of inscribed angle , so twice of 73 is 146 degree so
angle DGE =24 degree &
ARC GF=146 degree
A shoe manufacturer claims that among the general adult population in the United States that the length of the left foot is longer than the length of the right foot. To compare the average length of the left foot with that of the right foot, we will take a random sample of adults and measure the length of the left foot and then the length of the right foot. Based on our sample, does the data indicate that the length of the left foot is greater than the length of the right foot? Is the hypothesis one-tailed or two-tailed?
We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.
How to test the data indicate that the length of the left foot is greater than the length of the right foot?A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.
This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.
A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).
Learn more about null hypothesis at https://brainly.com/question/25263462
#SPJ1
Need help solving this problem try to exclude steps if can
The transformed vertices are;
A'' => (-7, -1)
B'' => (-7, 4)
C''=> (-9,4)
D''=> (-9, -1)
Here, we have,
given that,
we have to translate by (x,y) => (x-5, y+4)
so, the rectangle will be transformed as;
the transformed vertices are;
A' => ( 4-5, 3+4) => (-1, 7)
B' => (9-5, 3+4) => (4,7)
C'=>(9 -5, 5 +4 ) => (4, 9)
D'=> (4 -5, 5+4 ) => (-1, 9)
now, For clockwise rotation of a triangle by 90 degree, then x coordinate is similar to the y coordinate of original point and y coordinate is negative times of x coordinate of original point.
So (x,y) changes to (-y,x).
the transformed vertices are;
A'' => ( 4-5, 3+4) => (-1, 7) => (-7, -1)
B'' => (9-5, 3+4) => (4,7) => (-7, 4)
C''=>(9 -5, 5 +4 ) => (4, 9) => (-9,4)
D''=> (4 -5, 5+4 ) => (-1, 9)=> (-9, -1)
To learn more on transformation click:
brainly.com/question/29791450
#SPJ1
If a bulk order of 1,900 blouses costs $55,100, how much (in dollars) would 2,000 blouses cost?
Answer:
$58,000
Step-by-step explanation:
To solve this problem we first find cost of 1 blouse
then find cost of 2000 blouses.
cost of 1900 blouses = $55,100
to find cost of 1 blouse , divide both LHS and RHS by 1900
cost of 1900/1900 blouses = $55,100/1900 = $29
cost of 1 blouse = $29
to find cost of 2000 blouses, multiply both side by 2000
cost of 1*2000 blouse = $29*2000 = $58,000
Thus, cost of 2000 blouses will be $58,000.
2x+3y
help me please
Answer:
2 x + 3 y
Step-by-step explanation:
Will give brainliest if correct
explain reason
Therefore , the solution of the given problem of parallel lines comes out to be parallel lines stay parallel option C is correct.
What applications do parallel lines have?A parallelogram in Euclidean geometry is essentially a straightforward hexagon with two different groups & equal distances. When both sets of sides evenly share a horizontal path, a particular type of quadrilateral known as a parallelogram is created. There are four distinct types of parallelograms, three of them being incompatible. The four distinct forms are slightly parallelograms, rectangular shapes, squares, and parallelograms.
Here,
C. It is untrue that a line may be translated into two parallel lines.
A line can be translated into another line that runs parallel to the first line, but not into two parallel lines.
Every point on the line is rigidly transformed by a translation, which moves all of the points along the line uniformly and in one direction.
After a translation, parallel lines stay parallel.
To know more about parallel lines visit:
https://brainly.com/question/16701300
#SPJ1
For what value of A is the function, (x), continuous at x=0?
(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = 3
(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = -1
(iii) h(0) = 1/7
The value of λ must be 7, for h(x) to be continuous at x = 0.
The given function is,
h(x) = 1/7, when x = 0
= 1 - 2 cos 2x, when x < π/2
= 1 + 2 cos 2x, when x > π/2
= x cos x/sin λx, when x < 0
Now,
(i) \(\lim_{x \to \frac{\pi^-}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^-}{2}}\) (1 - 2 cos 2x) = 1 - 2 cos π = 1 + 2 = 3
(ii) \(\lim_{x \to \frac{\pi^+}{2}}\) h(x) = \(\lim_{x \to \frac{\pi^+}{2}}\) (1 + 2 cos 2x) = 1 + 2 cos π = 1 - 2 = -1
(iii) h(0) = 1/7
Since the function is continuous at x = 0, so
\(\lim_{x \to 0}\) h(x) = h(0)
\(\lim_{x \to 0}\) x cos x/sin λx = 1/7
\(\lim_{x \to 0}\) cos x.\(\lim_{x \to 0}\) 1/λ(sinλx/λx) = 1/7
1/λ = 1/7
λ = 7
Hence the value of λ must be 7.
To know more about continuous here
https://brainly.com/question/30089268
#SPJ1
I need help with this one.
9514 1404 393
Answer:
1,563.5 in³904.8 yd³2,144.7 mm³1,288.2 cm³434.9 in³Step-by-step explanation:
The formula for the volume of a sphere is ...
V = (4/3)πr³
When you have several of these calculations to do, it is convenient to let a graphing calculator or spreadsheet do them. A spreadsheet can do the rounding for you, too. The results are attached. The units are the cube of the units of the radius.
Example calculation:
(4) Radius = diameter/2 = 13.5 cm/2 = 6.75 cm
V = (4/3)π(6.75 cm)³ = 4.18879 × 307.547 cm³ = 1288.2 cm³
Note that the constant (4/3)π ≈ 4.18879 remains the same for each calculation. All you need to do is multiply that by the cube of the radius.
Side XY is of length 11b .
Side XZ is of length 2a+3b.
Side YZ is of length a The triangle is isosceles, with XY=XZ
The perimeter of the triangle is 91. Use algebra to find the values of a and b.
Answer:
a = 14, b = 3.5
Step-by-step explanation:
XZ = XY , then
2a + 3b = 11b ( subtract 3b from both sides )
2a = 8b ( divide both sides by 2 )
a = 4b
The perimeter is 91 , so
11b +2a + 3b + a = 91
14b + 3a = 91 ← substitute a = 4b
14b + 3(4b) = 91
14b + 12b = 91
26b = 91 ( divide both sides by 26 )
b = 3.5
and a = 4b = 4 × 3.5 = 14
help me fast rapidly is of khan academy:
Answer:
0 hundreds
0 tens
7 ones
.
4 tenths
0 hundredths
8 thousandths
Standard form=7.408
Step-by-step explanation:
Lets first solve (7x1)+(4x1/10)+(8x1/1000)
7+0.4+0.008
Simplify:
7.408
PLEASE MARK AS BRAINLIEST300(1-0.25)^t
WHAT IS THE DECAY???
On solving the provided question we can say that Thus, the given exponential expression represents exponential decay with a decay factor of 0.25 or a decay constant of 1.386.
What is exponential growth?The word "exponential growth" refers to the process of increasing quantity through time. When the instantaneous rate of change of a quantity with respect to time is proportional to the quantity, this is said to be proportional to the quantity. Exponential growth is a statistical pattern in which bigger gains are seen with time. Compound interest delivers exponential rewards in the world of finance. Savings accounts with compound interest can occasionally experience exponential growth. characterised by a rapid increase in the exponential growth rate (in size or extent). exponentially.
exponential decay with a decay factor of 0.25.
\(A_0 = A_0 e^{(-kt)}\\A_0 = 300\\\\A = 300(1-0.25)^t\\k = ln(1/0.25) = 1.386\)
Thus, the given expression represents exponential decay with a decay factor of 0.25 or a decay constant of 1.386.
To know more about exponential growth visit:
https://brainly.com/question/12490064
#SPJ1
A cone has a diameter of 16 cm and a height of 35 cm. What is its volume?
Answer: if with 3.14 v= 37512.5333
if with pi v= 37531.56
Step-by-step explanation:
the formula is 1/3hπr^2
r= 2d so radius is 32
plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)
2) Ayanda wants to invest R200 000. The bank offers him 2 options for his
6 year investment.
Option 1: 12% Simple interest p.a.
Option 2: 9,5% Compound interest p.a.
4.2.1) Calculate the return on Ayanda's investment using Option 1.
●
●
4.2.2) Calculate the return on Ayanda's investment using Option 2.
4.2.3) Which option will render the most money?
Answer:
4.2.1) R140 000
4.2.2) R144 758.28
4.2.3) Option 2
Step-by-step explanation:
To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.
\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)
Given values:
P = R200 000r = 12% = 0.12t = 6 yearsSubstitute the given values into the formula and solve for I:
\(I=200000 \cdot 0.12 \cdot 6\)
\(I=24000 \cdot 6\)
\(I=144000\)
Therefore, the return on Ayanda's investment using Option 1 is R144000.
\(\hrulefill\)
To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.
\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)
Given values:
P = R200 000r = 9.5% = 0.095t = 6 yearsSubstitute the given values into the formula and solve for I:
\(I=200000(1+0.095)^6-200000\)
\(I=200000(1.095)^6-200000\)
\(I=200000(1.72379142...)-200000\)
\(I=344758.28426...-200000\)
\(I=144758.28426...\)
\(I=144758.28\)
Therefore, the return on Ayanda's investment using Option 2 is R144758.28.
\(\hrulefill\)
Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.
Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
Read more on domain here: brainly.com/question/9765637
#SPJ1
Maria, Kevin, and Dan have a total of 96$ in their wallets. Dan has 6$ less than Maria. Kevin has 3 times what Dan has. How much do they have in their wallets?
Answer:
Hi Keke,
Let Amy have x dollars. Then Jose has x - 8 dollars and Milan has 4(x - 8) dollars.
x + (x-8) + 4(x-8) = 152
6x - 40 = 152
6x = 192
x = 32
Amy has $32
Jose has 32 - 8 = $24
Milan has 4*24 = $96
Find the measure of each angle indicated
Answer:
68°
Step-by-step explanation:
Alternate exterior angles have the same measurement.
Please solve the image is below
Answer:
Step-by-step explanation:
The following set of points represents a function (-1,-1) (2,-5) (-3,8) (4,13) (2,-16)True or false
As per given by the question,
There are given that the point,
(-1, -1), (2, -5), (-3, 8), (4, 13) and (2, -16).
Now,
If we draw the all point on the graph paper, then
For the point first, (-1, -1)
For point first, from the x axis, there is only one image in y-axis.
For point second(2, -5), from the x-axis, there is only one image in y-axis.
For point third(-3, 8), from the x-axis there is also only one image in y-axis.
For point (4, 13), from the x-axis there is also only one image in y axis.
And,
for point fifth(2, -16), from the x-axis there is two image in y-axis, because one image already exists in point (2, -5)
So,
According to the function concept,
Each x coordinate have must be only one image in y coordinate.
Now,
In given point, there are two images in y coordinate for x coordinate.
So,
The given set of point is does not represent the function.
Hence, the given statement is False.
)
How do you write three hundred and sixty seven thousand, seven hundred and fifty two?
Answer:
367,752 would be the answer
Answer:
367 750
Step-by-step explanation:
u start and end up with the last number after the another
A CBS News/New York Times poll of 1,000 adults in the United States asked the question, "Do you think global warming will have an impact on you during your lifetime?" (CBS News website). Consider the responses by age groups shown below.
Given the information, the probability that a response is between the ages of 18 and 29 and 30 or older is, respectively, 0.536 and 0.654. There is a 0.265 percent chance that they will say yes—that global warming will affect them over their lifetime. Concern over global warming also seems to vary across people aged 18 to 29 and those over 30.
Define probability?Probability is the ratio of favourable events to all other potential outcomes in a circumstance. The symbol x can be used to denote how many successful outcomes there were in an experiment with 'n' outcomes. The formula below can be used to determine a given event's probability.
Positive Results/Total Results = x/n = Probability (Event)
The likelihood that a respondent between the ages of 18 and 29 believes that there will be no significant threat from global warming in his or her lifetime is:
P (18-29 and no) = 293/(134 + 293 + 117) = 0.536
The likelihood that a respondent who is 30 years of age or older believes that there will be no significant threat from global warming in his or her lifetime is:
P (30+ and no) = 432/(131 + 432 + 178) = 0.654
The likelihood that a randomly chosen respondent will select "yes"—that is, that they will experience the effects of global warming throughout their lifetimes—is:
P(Yes) = (134 + 131)/(134 + 131 + 293 + 432 + 117 + 178) = 0.265
Yeah, it does seem that younger people (18–29) are less concerned about global warming than older people (30+). In comparison to respondents aged 18 to 29, the likelihood that a respondent aged 30 or older believes that global warming will not constitute a severe hazard during their lifetime is higher (0.654). (0.536). According to this, respondents who are older are less concerned about global warming than respondents who are younger. To confirm this difference, a formal statistical test would be required.
To know more about Probability, visit:
brainly.com/question/16722133
#SPJ1
The complete question is:
Do you think global warming will have an impact on you during your lifetime? A CBS News/New York Times poll of 1000 adults in the United States asked this ques- tion (CBS News website, December, 2014). Consider the responses by age groups shown below Response Age 18-29 30+Yes 134 131No 293 432Unsure a. What is the probability that a respondent 18-29 years of age thinks that global warming will not pose a serious threat during his/her lifetime?b. What is the probability that a respondent 30+ years of age thinks that global warming will not pose a serious threat during his/her lifetime? c. For a randomly selected respondent, what is the probability that a respondent answers yes? d. Based on the survey results, does there appear to be a difference between ages 18-29 and 30+ regarding concern over global warming?
The vertices of triangle ABC are given: A (0;-1) B(12; -10) C(10;4)
Find:
a) the equation of the median and bisector drawn from vertex A;
b) the equation of the altitude from vertex B;
c) the point of intersection of the median and height;
d) the coordinates of the center of mass (the point of intersection of the medians).
Simple Random Sample of Size 25:
Chances are, since you are studying AP Statistics, you plan to earn at least a bachelor's degree from college. According to the U.S. Census Bureau, 29% of Americans age 25 years or older have already earned a bachelor's or more advanced degree. You decide to randomly select 58 adults over the age of 25 to ask if they have earned at least a bachelor's degree. Describe the sampling distribution of the proportion of respondents who have earned at least a bachelor's degree.
Answer:
By the Central Limit Theorem, it is approximately normal with mean 0.29 and standard deviation 0.0596
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \(\mu = p\) and standard deviation \(s = \sqrt{\frac{p(1-p)}{n}}\)
According to the U.S. Census Bureau, 29% of Americans age 25 years or older have already earned a bachelor's or more advanced degree.
This means that \(p = 0.29\)
You decide to randomly select 58 adults over the age of 25 to ask if they have earned at least a bachelor's degree.
This means that \(n = 58\)
Describe the sampling distribution of the proportion of respondents who have earned at least a bachelor's degree.
By the Central Limit Theorem, it is approximately normal with mean \(\mu = p = 0.29\) and the standard deviation is \(s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.29*0.71}{58}} = 0.0596\)
The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
I neef way more help! Only a few more questions then you will have helped me pass my class!
Answer:
\(\boxed{\sf{705.3cm^3}}\)Step-by-step explanation:
To solve this problem, you need to determine the volume of the prism.
Volume of the prism formula:
\(\Longrightarrow: \sf{V=L*W*H}\)
L (length): 8 cmW (width): 15.2 cmH (height): 5.8 cmMultiply them all together.
\(\sf{8*15.2*5.8=\boxed{\sf{705.3}}\)
Therefore, the volume of the prism is "D. 705.3 cm³", which is our answer.I hope this helps. Let me know if you have any questions.
Answer:
Option D, \(705.3\ cm^3\)
Step-by-step explanation:
Step 1: Determine the volume of a rectangular prism
\(V = l * w * h\)
\(V = (15.2\ cm) * (8\ cm) * (5.8\ cm)\)
\(V = 705.28\ cm^3\)
Answer: Option D, \(705.3\ cm^3\)
Find the value of x. 3) 2x (x + 21)
To find the x-intercept, substitute in
0
for
y
and solve for
x
. To find the y-intercept, substitute in
0
for
x
and solve for
y
.
x-intercept(s):
(
0
,
0
)
,
(
−
21
,
0
)
y-intercept(s):
(
0
,
0
)