Answer: the men’s of this set of numbers is 60
Step-by-step explanation:
Add all the numbers together and then divided but the amount of numbers in the set
Find the first , fourth , and eighth terms of the sequence A(n) = -3 •2 ^x - 1
Answer:
A(1) = -7
A(4) = -48
A(8) = -769
Step-by-step explanation:
[tex]A(n) = -3.2 ^n - 1.....(1)\\\\Plug \: n= 1\: in \: (1)\\A(1) = -3.2 ^1 - 1 =-3.2-1= -6 -1 \\\huge\red{\boxed{A(1) = -7}}\\\\Plug \: n= 4\: in \: (1)\\A(4) = -3.2 ^4 - 1 =-3.16-1= -48 -1 \\\huge\purple{\boxed{A(4) = -49}}\\\\Plug \: n= 8\: in \: (1)\\A(8) = -3.2 ^8 - 1 =-3.256-1= -768 -1 \\\huge\orange{\boxed{A(8) = -769}}[/tex]
**10 POINTS PLEASE HELP**
The perimeter of △PQR is 44 cm, and △PQR ~ △WXY. If PQ = 12 and XY + WY = 24, what is the perimeter of WXY? Complete the explanation.
Since the perimeter of △PQR = 44, QR + PR = 44 − PQ, or ____ cm. This is proportional to the sum XY + WY, because the two triangles are (similar or congruent)
so their corresponding sides are (not proportional or proportional). Their ratio is 24:__ , or 3:__ , which is the same ratio as their perimeters, 3/___ = P/44, so P = ___ cm.
Answer:
Since the perimeter of ΔPQR = 44, QR + PR = 44 - PQ, or 32 cm. This is proportional to the sum XY + WY, because the two triangles are similar so their corresponding sides are proportional. Their ratio is 24:32 or 3:4, which is the same as their perimeters, 3/4 = P/44, so P = 33 cm.
Step-by-step explanation:
The given parameters are;
ΔPQR ~ ΔWXY
Perimeter of ΔPQR = 44
PQ = 12
XY + WY = 24 based on position is proportional to QR + PR
However, the perimeter of ΔPQR = PQ + QR + PR = 44
Therefore, QR + PR = 44 - PQ = 44 - 12 = 32
Hence, XY + WY = 24 based on position is proportional to QR + PR = 32
If XY:QR = WY:PR we get (XY + WY):(QR + PR) (common factors)
∴ (XY + WY):(QR + PR) = 24:32 = 3:4
By extension, (WX + XY + WY):(PQ + QR + PR) = 3:4
Where: WX + XY + WY = P and PQ + QR + PR = 44 we have;
P:44 = 3:4 or 3/4 = P/44
From which P = 44 × 3/4 = 33 cm.
What is 3/10 out of $60
3/10 out of $60 equals $18
Use the formula d = rt. Find t for r = 49.5 m/h and d = 504.9 m. 24,993 h 10.2 h 0.1 h 455.4 h
Answer:
[tex] t = \frac{504.9m}{49.5 m/h}= 10.2[/tex]
And the best option would be:
10.2 h
Step-by-step explanation:
We have the following formula for the distance:
[tex] d = rt[/tex]
And we want to find the value of t with r = 49.5 m/h and d = 504.9 m. If we solve from t we got:
[tex] t = \frac{d}{r}[/tex]
And replacing the info given we got:
[tex] t = \frac{504.9m}{49.5 m/h}= 10.2[/tex]
And the best option would be:
10.2 h
Answer:
[tex]\bold{METHOD\ 2:}\\\\\text{Substitute the values of}\ r=49.5\ \dfrac{m}{h}\ \text{and}\ d=504.9\ m\ \text{to the formula}\ d=rt:\\\\504.9\ m=49.5\ \dfrac{m}{h}\cdot t\\\\\text{solve for}\ t:\\\\49.5\ \dfrac{m}{h}\cdot t=504.9\ m\qquad\text{divide both sides by}\ 49.5\ \dfrac{m}{h}\\\\t=504.9\ m:\left(49.5\ \dfrac{m}{h}\right)\\\\t=\dfrac{504.9}{49.5}\ m\!\!\!\!\!\diagup\cdot\dfrac{h}{m\!\!\!\!\!\diagup}\\\\t=10.2\ h[/tex]
Step-by-step explanation:
[tex]\bold{METHOD\ 2:}\\\\\text{Substitute the values of}\ r=49.5\ \dfrac{m}{h}\ \text{and}\ d=504.9\ m\ \text{to the formula}\ d=rt:\\\\504.9\ m=49.5\ \dfrac{m}{h}\cdot t\\\\\text{solve for}\ t:\\\\49.5\ \dfrac{m}{h}\cdot t=504.9\ m\qquad\text{divide both sides by}\ 49.5\ \dfrac{m}{h}\\\\t=504.9\ m:\left(49.5\ \dfrac{m}{h}\right)\\\\t=\dfrac{504.9}{49.5}\ m\!\!\!\!\!\diagup\cdot\dfrac{h}{m\!\!\!\!\!\diagup}\\\\t=10.2\ h[/tex]
The table shows the functions representing the height and the area of the base of a rectangular prism for different values of x.
The volume of the prism when x = 3 is 36. Which equation can be used to represent the volume of the prism, V(x)?
V(x) = (f ∙ g)(x)
V(x) = (g + f)(x)
V(x) = (f – g)(x)
V(x) = (g – f)(x)
Answer:
V(x) = (f ∙ g)(x)
Step-by-step explanation:
Note. There is no table attached.
However it can solved with remaining information given.
The volume of a prism is
V = bh, where b is the area of the base, and h is the heightIf we have a function for the volume V(x) it has to be equal to a product of functions for the area and the height
Therefore the function will be similar to:
V(x) = (f*g)(x) which is effectively V(x) = f(x)*g(x), where functions f and g represent the area and heightSo the correct option is the first one
help asap !! will get branliest.
Answer:
d
Step-by-step explanation:
What is the value of 2(x+y)-(x-z) ifx=2, y=1, and z=-3
Answer:
2(2+1)-[2-(-3)]
(2×3)-5
6-5=1
Linear Equations: Solve for x given "-2x + 7 = 13"
Answer:
x = -3
Step-by-step explanation:
-2x + 7 = 13
-2x = 13 - 7
-2x = 6
x = 6/-2
x = -3
Complete the recursive formula of the arithmetic sequence -15,-11,-7,-3
Answer:
c(1)=-15
c(n)=c(n-1)+4
Step-by-step explanation:
When the product of 6 and the square of a number is increased by 5 times the number, the result is 4.
Which equation represents this situation?
y2 + 5y =n
Answer:
Hope this is correct
5b + 1 is at most 51
Step-by-step explanation:
5(10)+1
50+1
51
10 could be one possible answer
Estimating π. Using random numbers can accomplish many tasks. For example, it is possible to estimate π using Monte Carlo methods. To get an estimate, you place random points in the square [0, 1] × [0, 1] and estimate π/4 as the ratio of the points that landed inside the unit circle to the total number of points (because the ratio of the area of the circle to the area of the square is π/4). Here is what a few test runs and the corresponding estimates for π might look like with the number of points equal to 100, 1000, and 10,000 respectively?
Answer:
Estimations of π/4:
100 points: 0.75
1,000 points: 0.768
10,000 points: 0.7819
Step-by-step explanation:
To get an estimate of π/4 you can place random points in the square [0, 1] × [0, 1] and estimate it as the ratio of the points that landed inside the unit circle to the total number of points (because the ratio of the area of the circle to the area of the square is π/4).
We do it for 100 xy points and we get:
Point inside the circle area = 75
Estimation of π/4 = 0.75
[tex]\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{75}{100}=0.75[/tex]
We do it for 1,000 xy points and we get:
Point inside the circle area = 768
Estimation of π/4 = 0.768
[tex]\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{768}{1000}=0.768[/tex]
If we do it fo 10,000 xy points, we get
Point inside the circle area = 768
Estimation of π/4 = 0.768
[tex]\pi/4\approx=\dfrac{\text{points inside circle area}}{\text{total points}}=\dfrac{7819}{10000}=0.7819[/tex]
The value of π/4 (4 decimals) is 0.7854.
The simulation gets more precise with the increase in the number of points.
The spreadsheet and the graphs are attached.
Solution: x=−2.5 y=0.5
Solution: x=2 y=2.
The slope is?
Answer:
1/3
Step-by-step explanation:
We have (x₁, y₁) = (-2.5, 0.5) and (x₂, y₂) = (2, 2). The formula for slope is
(y₂ - y₁) / (x₂ - x₁). When we plug these values in we get (2 - 0.5) / (2 - (-2.5)) =
1.5 / 4.5 = 1 / 3. Hope this helps!
Consider a t distribution with 24 degrees of freedom. Compute P(-1.27˂t˂1.27) . Round your answer to at least three decimal places.
Answer:
Step-by-step explanation:
Use the calculator provided to solve the following problems. Consider a t distribution with 24 degrees of freedom. Compute P(-1.27˂t˂1.27) . Round your answer to at least three decimal places. Consider a t distribution with 5 degrees of freedom. Find the value of c such that P(t≤c)=0.05 . Round your answer to at least three decimal places.A rectangle has a length of x + 2 and a width of x-2, and
has an area of 60 square units. Find the length and width
of the rectangle.
Answer:
L = 10, W = 6
Step-by-step explanation:
(x-2)(x+2) = 60
[tex]x^{2}[/tex] - [tex]2^{2}[/tex] = 60
[tex]x^{2}[/tex] = 60 + 4 = 64
x = [tex]\sqrt{64}[/tex] = 8 or -8
-8 rejected
thus length is 8 + 2 = 10, width is 8-2=6
The length is 10 units and width is 6 units.
Length = x+2
Width = x-2
Area = 60
Area = Length × Width
Therefore, (x+2)(x-2) = 60
x²-2x+2x - 4 = 60
Collect like terms
x² = 60+4.
x² = 64.
Therefore, in order to get the value of x, we'll find the square root of 64
x² = 64.
x = ✓64
x = 8
Length = = x+2 = 8+2 = 10
Width = x-2 = 8-2 = 6
In conclusion, the length is 10 units and width is 6 units.
Read related link on:
https://brainly.com/question/7153878
Anna and Lionel share $675 in the ratio 4 : 5 Lionel gives 3/5 of his share of the money to his mother. How much money does Lionel give to his mother?
Answer:
$225
Step-by-step explanation:
Total share ratio = 4+5 = 9
Lionel's ratio = 5
Lionel's share = (5/9) × 675
= $375
Lionel's mum = (3/5) x 375
= $225
Barbara buys
3 boxes of eggs costing £1.20 each
1 jar of mayonnaise costing £1.80
2 loaves of bread
She pays with a £10 note and gets £1.60 change.
Barbara works out the cost of 1 loaf of bread as £1.40
Is she correct?
You must show your working.
Answer:
Actually, a loaf of bread costs 1.5. Barbara was wrong but only by 10 pence
Step-by-step explanation:
1 box of eggs = 1.2
3 boxes of eggs =3*1.2=3.6
1 jar of mayonnaise =1.8
2 loves of bread=2x
Total price of her purchases =10-1.6=8.4
Setting up the equation:
3.6+1.8+2x=8.4
Solving for x
2x=8.4-3.6-1.8
2x=3
x=3/2=1.5
You are ready to buy a house, and you have $31,000 for a down payment and closing costs. Closing costs are estimated to be 4% of the loan value. You have an annual salary of $36,000, and the bank is willing to allow your monthly mortgage payment to be equal to 28% of your monthly income. The interest rate on the loan is 6% per year with monthly compounding (0.5% per month) for a 30-year fixed rate loan. How much money will the bank loan you?
Answer:
$ 140,104.96
Step-by-step explanation:
The amount the bank will the individual is the present value of the total mortgage payment.
monthly mortgage payment=28%*$36,000/12=$840
the payment is meant for 30 years but 360 months i.e 12*30
the amount of loan is the present value of $840 monthly for 360 months with 0.5% interest rate per month
=pv(rate,nper,-pmt,fv)
rate is 0.5%
nper is 360 months
pmt is $840 per month
fv is the total payments which is unknown
=pv(0.5%,360,-840,0)=$140,104.96
The loan amount is closest to $ 140,104.96
Please do only 9, 11, and 13 . These are on probability and it’s only 3 questions.
9: What is the probability of beef tips being the preferred new menu item?
To find the probability of a customer preferring beef tips over the other menu items, divide the quantity of customers that preferred beef tips over the total number of customers that participated in the survey:
28 / (42 + 28 + 30) = 28/100 = 28%
There is a 28% chance that beef tips is the new preferred menu item.
11: Out of a similar group of 375 customers, predict how many more customers will prefer chicken carbonara to shrimp scampi.
There are 100 customers that participated in the pre-existing survey. A grand total of 375 participants in a similar survey would mean that each food's preference would grow in a similar fashion.
100 * 3.75 = 375
You can then multiply each response group by 3.75 to find how many people prefer chicken carbonara and shrimp scampi.
42 * 3.75 = 157.5
30 * 3.75 = 112.5
Then, subtract the quantities to find out how many more people prefer chicken to shrimp.
157.5 - 112.5 = 45 people.
13: Predict the number of times that Giorgianna's name will be drawn in 32 weeks. Round to the nearest whole number.
There are five people in the group, and one is chosen as the team leader every week. 1 divided by 5 is .2, so the probability of being chosen as team leader is 20%.
You can multiply 0.2 by 32 to represent how many times the experiment will be run. The product is 6.4 times, so Giorgianna's name will likely be drawn 6 times within 32 weeks.
Answer:
9.) 7/ 25. 11). 45. 13) 6
Step-by-step explanation:
Explanation shown below;
For 13;
The probability of chosen Georgianna is 1/5
The number of times the draw would be conducted would be 32
Hence Georgianna would be chosen [ 1/5. * 32 = 6. 4 = 6[to the nearest whole]
Given the inequality 2x − 8y ≤ 24. Which best describes the half-plane that is the solution?
Hint: Rewrite inequality solving for y.
Question 3 options:
The half-plane lying below the line y = 14x − 3, not including the line y = 14x − 3.
The line y = 14x −3 and the half-plane lying above it.
The line y = 14x − 3 and the half-plane lying below it.
The half-plane lying above the line y = 14x − 3 , not including the line y = 14x − 3.
Answer:
The line y = 1/4x −3 and the half-plane lying above it.
Step-by-step explanation:
I attached the work to your problem. Please see the attachment.
The graph below is the graph of a function.
True or false
Answer:
False
Step-by-step explanation:
there is more than one y-value for some x-values
Statistics can be extremely valuable, but you must also make sure that the sample and questions are unbiased. Design a pair of questions that are related to the same healthcare issue: one that is unbiased and another that would result in a bias in one direction or the other.
Examples:
a. Do you think that the rate of type II diabetes diagnoses will increase over the next 10 years?
b. Given the large increase in childhood obesity in the United States, do you think that type II diabetes diagnoses will increase over the next 10 years?
Discuss why it is important to create a truly unbiased sample and survey questions.
Answer:
Do you think the rate of death due to pandemic will rise over the next month?
Considering the increase in death rate due to pandemic over the last 2 months, there will be an increase over the next 4 months?
Step-by-step explanation:
It is important to create a truly unbiased sample and survey questinos so that the results are authentic and can be generalized to represent a population.
Need help
Pleaseeeee
Answer:
164 m^2
Step-by-step explanation:
You can think of the shaded area in different ways. One of the ways is the entire outer colored rectangle minus the area of the small white rectangle inside.
The large colored rectangle is 12 m by 15 m.
The inner rectangle is 8 m tall. The width is 12 m - 5 m - 5 m = 2 m
A = 12 m * 15 m - 2 m * 8 m
A = 180 m^2 - 16 m^2
A = 164 m^2
1,-4,-9,-14,-19 what’s the 5th term
Answer:
-24
Step-by-step explanation:
goes by -5
Answer:
-24
Step-by-step explanation:
We are subtracting 5 each time
1-5 = -4
-4-5 = -9
-9-5=-14
-14-5=-19
-19-5 =-24
The fifth term is -24
Find the mean and median of these data: 3, 4, 10, 12, 18, 20.
Answer:
the median is 10 and 12
the mean is 11.17
Step-by-step explanation:
Mean=11.16
Median=11
look at the attached picture
Hope it will help you...
Good luck on your assignment..
~pragya
6 plus 6 plus 6 time 2 equals?
Answer:
48
Step-by-step explanation:
6+6+6=24 (6*3)
24*2=48
Answer:
36
Step-by-step explanation:
6 + 6 + 6 = 18
18 x 2 =36
:3
Line m passes through the points (3, 7) and (6, 12) while line n passes through the points (-5, 1) and (-2, 6). Which statement accurately describes the relationship between the two lines? A. Lines m and n have the same slope so they are parallel. B. Lines m and n have the same slope so they are perpendicular. C. Lines m and n have opposite reciprocal slopes so they are perpendicular. D. Lines m and n have opposite reciprocal slopes so they are parallel.
Hey there! I'm happy to help!
First, let's find the slope of the two lines. To find the slope, you divide the difference in the y-values by the difference in the x-values.
LINE M
7-12/3-6=-5/-3= 5/3
LINE N
1-6/-5+2=-5/-3=5/3
If lines have the same slopes, they are parallel because they are always moving at the same incline and therefore will never meet. This matches what answer A says.
Therefore, the correct answer is A) Lines m and n have the same slope so they are parallel.
I hope that this helps! Have a wonderful day!
Suzanne owns a small business that employs 555 other people. Suzanne makes \$100{,}000$100,000dollar sign, 100, comma, 000 per year, and the other 555 employees make between \$40{,}000$40,000dollar sign, 40, comma, 000 and \$50{,}000$50,000dollar sign, 50, comma, 000 per year.
A dot plot has a horizontal axis labeled, Salary, in thousands of dollars, marked from 40 to 100, in increments of 2. 1 dot is plotted above each of the following values: 40, 42, 44, 46, 48, 100. The dot above 100 is shaded purple.
Suzanne decides to leave the company and keep the other 555 salaries the same.
A dot plot has a horizontal axis labeled, Salary, in thousands of dollars, marked from 40 to 100, in increments of 2. 1 dot is plotted above each of the following values: 40, 42, 44, 46, 48.
How will removing Suzanne's salary from the data set affect the mean and median?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The mean will decrease and the median will increase.
(Choice B)
B
The median will decrease and the mean will increase.
(Choice C)
C
Both the mean and median will decrease, but the median will decrease more than the mean.
(Choice D)
D
Both the mean and median will decrease, but the mean will decrease more than the median.
Answer:
d
Step-by-step explanation:
ASAP! GIVING BRAINLIEST! Please read the question THEN answer correctly! No guessing.
Answer:
p ≥ -14
Step-by-step explanation:
Subtract 4 from both sides:
p + 4 ≥ -10
- 4 - 4
________
p ≥ -14
4. Marcus uses software to graph f(x) = 3x + 2. Then he changes the function to
f(x) = 3x - 2 and uses the software to graph the new function. Which of the
following attributes of the function changes?
F. domain
G. y-intercept
J. asymptote
H. range
Answer:
G. y-intercept
Step-by-step explanation:
Both of Marcus's functions are lines in slope-intercept form:
y = mx +b
where b is the y-intercept.
In his first function, b=2; in his second, b=-2. The value of the y-intercept is what changed.