Answer:
D. -4
Step-by-step explanation:
the slope formula is
m=(y2-y1)/(x2-x1)
(x2,y2) = (4,7)
(x1, y1) = (5,3)
So (7-3)/(4-5) = 4/-1 = -4
Answer:
-4
Step-by-step explanation:
I say so
If p = 1.7 % and n = 200, is the Poisson distribution a reasonable approximation of the binomial
distribution?
er
yes
no
What is the mean of this binomial distribution (and the mean of the Poisson distribution used to
approximate it)?
mean -
(Round to 1 decimal place)
What is the actual mean of this binomial distribution?
standard deviation (actual) =
(Round to 2 decimal places)
What is the standard deviation for the Poisson distribution?
standard deviation (approximate) -
(Round to 2 decimal places)
Are these values in reasonable agreement?
yes
no
Answer:
yes
Step-by-step explanation:
bc i know
Answer:
Trong lý thuyết xác suất và thống kê, Phân phối Poisson (phân phối Poa-dông) là một phân phối xác suất rời rạc. Nó khác với các phân phối xác suất rời rạc khác ở chỗ thông tin cho biết không phải là xác suất để một sự kiện (event) xảy ra (thành công) trong một lần thử như trong phân phối Bernoulli, hay là số lần mà sự kiện đó xảy ra trong n lần thử như trong phân phối nhị thức, mà chính là trung bình số lần xảy ra thành công của một sự kiện trong một khoảng thời gian nhất định. Giá trị trung bình này được gọi là lamda, ký hiệu là {\displaystyle \lambda }\lambda .
Phân phối Poisson còn được dùng cho khoảng mà đơn vị khác thời gian như: khoảng cách, diện tích hay thể tích. Một ví dụ cổ điển là sự phân rã hạt nhân của các nguyên tử.
Phân phối này được tìm ra bởi nhà toán học Siméon-Denis Poisson (1781–1840) và đã được xuất bản cùng với lý thuyết xác suất của ông, vào năm 1838 với tựa đề Recherches sur la probabilité des jugements en matières criminelles et matière civile ("Research on the Probability of Judgments in Criminal and Civil Matters"). Theo đó, nếu xem xét một biến ngẫu nhiên N nào đó, và đếm số lần xuất hiện (rời rạc) của nó trong một khoảng thời gian cho trước. Nếu giá trị kì vọng (hay số lần trung bình mà biến ngẫu nhiên đó xảy ra trong khoảng thời gian đó là λ, thì xác suất để cũng chính sự kiện đó xảy ra k lần (k là số nguyên không âm, k = 0, 1, 2,...) sẽ được tính theo công thức
{\displaystyle f(k;\lambda )={\frac {\lambda ^{k}e^{-\lambda }}{k!}},\,\!}{\displaystyle f(k;\lambda )={\frac {\lambda ^{k}e^{-\lambda }}{k!}},\,\!}
Step-by-step explanation:
Find the interval in which f(x) = 3x2 - 2x is decreasing.
Answer:
Option (3)
Step-by-step explanation:
Given function is,
f(x) = 3x² - 2x
= [tex]3(x^{2} -\frac{2}{3}x)[/tex]
= [tex]3(x^{2} -\frac{2}{3}x+\frac{1}{9}-\frac{1}{9})[/tex]
= [tex]3(x^{2}-\frac{2}{3}x+\frac{1}{9})-\frac{1}{3}[/tex]
= [tex]3(x-\frac{1}{3})^2-\frac{1}{3}[/tex]
Vertex of the parabola → [tex](\frac{1}{3},-\frac{1}{3})[/tex]
Here, leading coefficient is positive (+3),
Therefore, parabola will open upwards.
In a parabola opening upwards function decreases from negative infinity to the x value of the vertex.
Function will decrease in the interval (-∞, [tex]\frac{1}{3}[/tex]).
Option (3) will be the answer.
Match each set of vertices with the type of triangle they form.
A(2, 0), B(3, 2), C(5, 1)
obtuse scalene triangle
A(4, 2), B(6, 2), C(5, 3.73)
isosceles right triangle
A(-5, 2), B(-4, 4), C(-2, 2)
right triangle
A(-3, 1), B(-3, 4), C(-1, 1)
acute scalene triangle
A(-4, 2), B(-2, 4), C(-1, 4)
9514 1404 393
Answer:
rightacuteobtuserightobtuseStep-by-step explanation:
When the same problem is repeated, I like to solve it using a spreadsheet. That way, the formulas only need to be entered once, and the arithmetic is (almost) guaranteed to be done correctly.
A "form factor" computed from side lengths can be used to determine the type of triangle. Where 'c' is the long side, that factor can be computed as ...
f = a² +b² -c²
and interpreted as follows:
f = 0, right trianglef > 0, acute trianglef < 0, obtuse triangle(The sign of f matches the sign of the cosine of the largest angle computed using the law of cosines.)
Of course, a right triangle can also be identified by looking at the slopes of the sides of the triangle. If any pair of slopes has a product that is -1, or if any pair is 0 and "undefined", then the triangle will be a right triangle.
__
The attached spreadsheet is designed to accommodate a number of different problem requirements. It shows both side lengths and slopes, and it shows the "form factor" as described above. The final classification is shown at far right.
A town recently dismissed 8 employees in order to meet their new budget reductions. The town had 9 employees over 50 years of age and 16 under 50. If the dismissed employees were selected at random, what is the probability that at least 7 employees were over 50? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answer:
The probability that at least 7 employees were over 50 is 0.0073%.
Step-by-step explanation:
Given that a town recently dismissed 8 employees in order to meet their new budget reductions, and the town had 9 employees over 50 years of age and 16 under 50, if the dismissed employees were selected at random, to determine what is the probability that at least 7 employees were over 50, the following calculation must be performed:
9/25 x 8/24 x 7/23 x 6/22 x 5/21 x 4/20 x 3/19 = X
0.36 x 0.33 x 0.304 x 0.272 x 0.238 x 0.2 x 0.157 = X
0.000073 = X
100X = 0.0073
Therefore, the probability that at least 7 employees were over 50 is 0.0073%.
Find the distance between the points: (-1, 5) and (3, -3). In your final answer, include the formula and calculations that you used to find the distance.
Answer:
[tex]4\sqrt{5}[/tex] units
Step-by-step explanation:
The distance between any two points on the x y plane (a,b) and (c,d) has one of two formulas. [tex]\sqrt{(a-c)^2+(b-d)^2}[/tex] or [tex]\sqrt{(c-a)^2+(d-b)^2}[/tex] if you use c-a you have to also use d-b, and the other way around for a-c and b-d. You can rearrange which order you add though. So with (-1,5) and (3,3) here is the math
[tex]\sqrt{(3-(-1))^2+((-3)-5)^2} \\\sqrt{4^2+(-8)^2} \\\sqrt{16+64}\\\sqrt{80}[/tex]
You could simplify this to [tex]4\sqrt{5}[/tex]
Let me know if there was anything you didn't understand.
Bobby wants to bring popsicles to a summer barbecue. He decides to try a new recipe for pineapple-orange popsicles, so he makes a small batch with 1 cup of pineapple juice and 3 cups of orange juice to taste. He likes the combination, so he uses 3 cups of pineapple juice and 7 cups of orange juice to make a larger batch for the barbecue. Which batch of popsicles tastes more like oranges?
Answer:The first would taste more like oranges
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
x^2+8x+16
This is because the given expression factors to (x+4)(x+4), which condenses to (x+4)^2.
To factor, think of two numbers that A) multiply to 16, and B) add to 8. Those values would be 4 and 4
4+4 = 8
4*4 = 16
So that's how we end up with (x+4)(x+4). You can use the FOIL rule to expand that out and get x^2+8x+16 again to help verify you have the correct factorization.
You throw two four-sided dice. Let the random variable X represent the maximum value of the two dice. Compute E(X). Round your answer to three decimal places.
Answer:
E(X)=3.125
Step-by-step explanation:
We are given that two four sided dice.
Then , the sample space
{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)}
Total number of outcomes=16
Let the random variable X represent the maximum value of the two dice
Outcomes X P(X)
(1,1) 1 1/16
(1,2),(2,1),(2,2) 2 3/16
(1,3),(2,3),(3,1),(3,2),(3,3) 3 5/16
(1,4),(3,4) ,(2,4),(4,1),(4,2),(4,3),(4,4) 4 7/16
Using the probability formula
[tex]P(E)=\frac{Favorable\;outcomes}{Total\;number\;of\;outcomes}[/tex]
Now,
[tex]E(X)=\sum_{i=1}^{n}x_iP(x_i)[/tex]
[tex]E(x)=1(1/16)+2(3/16)+3(5/16)+4(7/16)[/tex]
[tex]E(x)=\frac{1+6+15+28}{16}[/tex]
[tex]E(x)=\frac{50}{16}=3.125[/tex]
Mr Gardner is making 6 treat bags. He has 185 chocolate-covered raisins to share evenly among the treat bags.
Answer:
✎There will be 30 Chocolate-Covered raisins in each bag.
✎ And 5 Remaining.
Step-by-step explanation:
Take 185 and divide it by 6 and you should get 30 per bag with a remainder of 5 :)
what is the radius of a circle in it in if the area is 36m²?
A.0.339 m
B.3.39 m
C.78.5 m²
D.339 m
Answer:
B. 3.39 m
Step-by-step explanation:
r² = A/π
= 36/3.14
= 11.465
r = √11.465 = 3.39
Which of the statements is true for the two division problems below? A: (x^2-3x-18)/(x-6) B. (x^3-x^2-5x-3)/(x^2+2x+1)
Answer:
B is the right statement
Answer:
add the answer choices
Step-by-step explanation:
Find the volume of this square based pyramid 8cm 6cm 6cm
Answer:
96cm3
Step-by-step explanation:
formula is
v=1/3×area of the base×height
area of base which is a square=l×l
which is equal to 6×6=36
therefore
v=1/3×(6×6)×8
=96cm3
I hope it helps
Bus X and bus y traveled the same 80-mile route. If bus X took 2 hours and bus y traveled at an average speed that was 50 percent faster than the average speed of bus X, how many hours did bus y take to travel the route?
Answer:
1 hr , 18 mins
Step-by-step explanation:
that is the procedure above
A map has a scale in which 1.25 inches represents 250 miles.
How many miles does 1 inch represent?
Answer: 200 miles
Work Shown:
(1.25 inches)/(250 miles) = (1 inch)/(x miles)
(1.25)/(250) = 1/x
1.25x = 250*1 ..... cross multiplication
1.25x = 250
x = 250/(1.25)
x = 200 miles
An automobile assembly line operation has a scheduled mean completion time, , of minutes. The standard deviation of completion times is minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of completion times under new management was taken. The sample had a mean of minutes. Can we support, at the level of significance, the claim that the mean completion time has decreased under new management
The question is incomplete. The complete question is :
An automobile assembly line operation has a scheduled mean completion time, μ, of 15.5 minutes. The standard deviation of completion times is 1.7 minutes. It is claimed that, under new management, the mean completion time has decreased. To test this claim, a random sample of 90 completion times under new management was taken. The sample had a mean of 15.4 minutes. Can we support, at the 0.1 level of significance, the claim that the mean completion time has decreased under new management?
Solution :
The given data :
n = 90
μ = 15.5
σ = 1.7
[tex]$\overline x$[/tex] = 15.4
So, the null hypothesis is : [tex]$H_0: \mu = 15.5$[/tex] is been tested against
Alternate hypothesis : [tex]$H_1 : \mu < 15.5 $[/tex] (one-tailed test)
Since, the sample size is sufficiently large and the sample deviation is known, we use the Z-test.
Under this test, the test statistic is given as :
[tex]$Z=\frac{\overline x - \mu}{\sigma/\sqrt{n}} \sim N(0,1)$[/tex]
Under [tex]H_0[/tex], we have
[tex]$Z_0=\frac{\overline x - \mu}{\sigma/\sqrt{n}} $[/tex]
[tex]$Z_0=\frac{15.4-15.5}{1.7/\sqrt{90}} $[/tex]
[tex]$Z_0=-0.56$[/tex]
The critical value for the test is [tex]$Z_{\alpha} = Z_{0.1} = -1.28$[/tex]
We observe that (-0.56 > -1.28), and so we fail to reject the null hypothesis.
No, there is no evidence to support the claim that the mean completion time has decreased.
Thus, we conclude that the mean completion time is 15.5 minutes.
While planning a hiking trip, you examine a map of the trail you are going on hike. The scale on the map shows that 2 inches represents 5 miles.
If the trail measures 12 inches on the map, how long is the trail?
Answer:
30 miles
Step-by-step explanation:
Given that :
Scale = 2 inches represents 5 miles
This means that 2 inches in the map equals to 5 miles on ground ;
Hence, if the trail measures 12 inches on the map, the length on ground will be ; x
2 inches = 5 miles
12 inches = x miles
Cross multiply :
2x = (12 * 5)
2x = 60
x = 60 / 2
x = 30 miles
Find the solution(s) of the system of equations. y = x2 + 4x y + x2 = –4x Question 7 options: A) (–4, 0) and (0, 0) B) (0, 0) C) (–4, 0) and (4, 0) D) (0, 0) and (4, 0)
Answer:
Hello,
Answer A (-4,0) and (0,0)
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}y&=&x^2+4x\\y+x^2&=&-4x\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&x^2+4x\\y&=&-x^2-4x\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}y&=&x^2+4x\\x^2+4x&=&-x^2-4x\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}2*x^2+8*x&=&0\\y&=&x^2+4x\\\end{array} \right.\\\\\\\left\{\begin{array}{ccc}x(x+4)&=&0\\y&=&x^2+4x\\\end{array} \right.\\\\\\[/tex]
[tex]\left\{\begin{array}{ccc}x&=&0 \\y&=&0\\\end{array} \right. \ or\ \left\{\begin{array}{ccc}x&=&-4 \\y&=&0\\\end{array} \right.[/tex]
(2/3)^x-1=27/8, find x. Please add a step-by-step explanation.
[tex]( \frac{2}{3} ) {x - 1 = \frac{27}{8} }^{?} [/tex]
so basically after doing all the algebra, you will have to use the log function to solve. rearranging things and you will get the log expression that I obtained, then solve it using the change of base formula.
Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→[infinity] ln(5x) 5x Step 1 As x → [infinity], ln(5x) → and 5x → .
Answer:
[tex]\lim_{x \to \infty} \frac{ln(5x)}{5x} = \lim_{x \to \infty} \frac{1/x}{5} = \lim_{x \to \infty} \frac{1}{5x} = 0[/tex]
Step-by-step explanation:
L'Hopital's rule says that, if both numerator and denominator diverge, then we can look at the limit of the derivates.
Here we have:
[tex]\lim_{x \to \infty} \frac{ln(5x)}{5x}[/tex]
The numerator is ln(5x) and when x tends to infinity, this goes to infinity
the denominator is 5x, and when x tends to infinity, this goes to inifinity
So both numerator and denominator diverge to infinity when x tends to infinity.
Then we can use L'Hopithal's rule.
The numerator is:
f(x) = Ln(5x)
then:
f'(x) = df(x)/dx = 1/x
and the denominator is:
g(x) = 5*x
then:
g'(x) = 5
So, if we use L'Hopithal's rule we get:
[tex]\lim_{x \to \infty} \frac{ln(5x)}{5x} = \lim_{x \to \infty} \frac{1/x}{5} = \lim_{x \to \infty} \frac{1}{5x} = 0[/tex]
Our soccer team lost 9 games this season. That was 3/8 of all they played. How many games did they play this season?
Answer:
15
Step-by-step explanation:
3/8 = 9
9÷3= 3
the remainder of 3/8 is 5/8 so
5x3=15
PLEASE HELP ANSWER THISS!!! I NEED THIS PLEASE!!! AND NO LINKS EITHER PLSS!!
It doesn't change because to add fractions, you need a common denominator. To find it, they multiplied 1/3 by 2 to make 2/6, to add to the 3/6.
one month is what percentage of a year given that there are 7 days in a week, and 12 months in a year
Answer:
it should be 8.333333%
Step-by-step explanation:
(5,4) (3,7) find the equation for A+b=C
Answer:
Step-by-step explanation:
Slope of line through (5,4) and (3,7) = (7-4)/(3-5) = -1.5
Point-slope equation of line:
y-4 = -1.5(x-5)
Convert equation to standard form:
y-4 = -1.5x + 7.5
1.5x + y = 11.5
3x +2y = 23
In the figure, triangles ABC and DEF are congruent.
Find the measure of DF.
a. 13m
b. 12m
c. 7m
d. 13.928m
Choose the correct solution for the given equation x^2-6x=40
Answer:
10,-4
Step-by-step explanation:
not sure where the options are but if you were to solve this equation first bring everything to one side.
x^2 - 6x - 40 = 0
factor it
(x-10)(x+4) = 0
set each part to 0
x-10 = 0 and x+4 = 0
solutions are 10 and -4
rectangle a is dilated to form rectangle b. what is the scale factor used .
Answer:
5
Step-by-step explanation:
The scale factor is 5. Answered by Gauthmath
The length and the width of rectangle a are expanded 5 times respectively.
What is a scale factor?The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.
According to the question
Rectangle a is dilated to form rectangle b.
By division operation, the ratio
[tex]\frac{20}{4} =\frac{30}{6} =5[/tex]
The length and the width of rectangle a are expanded 5 times respectively.
Find out more information about scale factor here
brainly.com/question/2839518
#SPJ2
By which number should (2/5)^-3 be multiplied to get (1/2)^4 as a product ?
Answer:
[tex]\frac{2}{5}^{-3}[/tex]×[tex]x=\frac{1}{2}^{4}[/tex]
[tex]x=\frac{2}{5} ^{3} \\[/tex]×[tex]\frac{1}{2}^{4}[/tex]
(negative in the exponent means reciprocal of the fraction)
x= [tex]\frac{1}{250}[/tex]
Brainliest please
Find the missing pieces of the triangle round to the nearest tenth
Answer:
8√3
Step-by-step explanation:
Missing side,
√(19²-13³)
= 8√3
Answered by GAUTHMATH
If p = 1/2 and q = 4; evaluate 3p2q+pq2
Answer:
11
Step-by-step explanation:
3p²q+pq²=3×1/4×4+1/2×16=3+8=11
please help me please help i will give up vote and 5 star please and follow
Answer:
C. y = 4x, table B, graph A
Step-by-step explanation:
Charges = $4 per hour (this is the slope, m,)
m = 4
The equation can be represented in the form of y = mx
Where,
m = slope = 4
Substitute m = 4 into y = mx
Thus:
y = 4x
✔️The table that represents the equation y = 4x showing that for 1 hour, the charges is $4 is table B (x = 1, y = 4).
Table B represents the parking cost.
✔️The equation with a slope of 4 is the equation that represents the parking cost. Thus, in graph A, when x = 1 (hour), y = 4 (cost).
Therefore, graph A is the answer.
