Answer:
See below :)
Step-by-step explanation:
Given ordered pairs :
( 2 , 3 ) , ( - 2 , 4 ) , ( 4 , 8 ) , ( - 2 , 5 )
Domain is the set of all x -coordinates in the set of ordered pairs.
( 2 , 3 ) , ( -2 , 4 ) , ( 4 , 8 ) , ( -2 , 5 )
List them :
Domain = { - 2 , 2 , 4 )
Range is the set of all y - coordinates in the set of ordered pairs.
( 2 , 3 ) , ( - 2 , 4 ) , ( 4 , 8 ) , ( - 2 , 5 )
List them :
Range = { 3 , 4 , 5 , 8 }
Hope I helped !
Best regards!!
Assume that the Poisson distribution applies and that the mean number of hurricanes in a certain area is 6.2 per year. a. Find the probability that, in a year, there will be 5 hurricanes. b. In a 35-year period, how many years are expected to have 5 hurricanes? c. How does the result from part (b) compare to a recent period of years in which years had hurricanes? Does the Poisson distribution work well here?
Answer: Try to use socratic
Step-by-step explanation:
Translate the figure 1 unit left and 2 units up.
Draw a vector from the origin 1 unit left and 2 units up.
I need help asap
Answer:
Hey there!
The correct answer would be a line from (0, 0) to (-1, 2)
Let me know if this helps :)
HELP PLEASE ASAP !!!!
-3h -6(5h/3 + 7/2) +9h = -53
Find the value for h.
Answer: h= 8
Step-by-step explanation:
-3h - 6(5h/3 + 7/2) + 9h = -53 Distribute on the left
-3h - 10h - 21 + 9h = -53 combine like terms on the left side
-4h -21 = -53 Now add 21 to both sides
+21 +21
-4h = -32 Divide both sides by -4
h = 8
Solve the equation 3(x + 1) − 2 = x + 5.
Answer:
X=2
Step-by-step explanation:
First, distribute the 3 to get
3x+3-2=x+5
Solve for 3-2 to get
3x+1=x+5
subtract 1 from both sides to get
3x=x+4
subtract x from both sides to get
2x=4
divide both sides by 2 to finalily get
x=2
Rhonda is building a rectangular patio. The perimeter of the patio is to be 96 feet. Determine the dimension of the patio if the length is to be 6 feet less than twice the width
Answer:
Length= 30 ft
Width= 18ft
Step-by-step explanation:
The perimeter of the rectangular patio is to be 96 feet.
the length is to be 6 feet less than twice the width
Perimeter=2(length+width)
But
Length= 2(width)-6
Substituting in perimeter equation
Perimeter=2(length+width)
Perimeter=2((2(width)-6)+width)
Perimeter= 96 feet
Let width= x
Perimeter=2((2(width)-6)+width
96=2((2(x)-6)+x)
96= 4x-12+2x
108= 6x
18= x
Width= 18ft
Length= 2(width)-6
Length= 2(18)-6
Length= 36-6
Length= 30 ft
How are I supposed to do this ?
Answer:
Step-by-step explanation:
1. binomial polynomial
2. 2 terms
3. 4 is the constant term
4. - 1/10 x^3 is the leading term
5. -1/10 is the leading coefficient.
2564.0 millimeters tall. If the boards are too long they must be trimmed, and if the boards are too short they cannot be used. A sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0. A level of significance of 0.05 will be used to determine if the boards are either too long or too short. Assume the population distribution is approximately normal. Find the value of the test statistic. Round your answer to three decimal places.
Answer:
We conclude that the board's length is equal to 2564.0 millimeters.
Step-by-step explanation:
We are given that a sample of 26 is made, and it is found that they have a mean of 2559.5 millimeters with a standard deviation of 15.0.
Let [tex]\mu[/tex] = population mean length of the board.
So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = 2564.0 millimeters {means that the board's length is equal to 2564.0 millimeters}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] 2564.0 millimeters {means that the boards are either too long or too short}
The test statistics that will be used here is One-sample t-test statistics because we don't know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{s }{\sqrt{n}} }[/tex] ~ [tex]t_n_-_1[/tex]
where, [tex]\bar X[/tex] = sample mean length of boards = 2559.5 millimeters
s = sample standard deviation = 15.0 millimeters
n = sample of boards = 26
So, the test statistics = [tex]\frac{2559.5-2564.0}{\frac{15.0 }{\sqrt{26}} }[/tex] ~ [tex]t_2_5[/tex]
= -1.529
The value of t-test statistics is -1.529.
Now, at a 0.05 level of significance, the t table gives a critical value of -2.06 and 2.06 at 25 degrees of freedom for the two-tailed test.
Since the value of our test statistics lies within the range of critical values of t, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.
Therefore, we conclude that the board's length is equal to 2564.0 millimeters.
A magnitude 6.7 earthquake struck the SanFernando valley region of Los Angeles in 1994, causing widespread damage. Suppose another region with more active earthquakes and the number of earthquakes in this region is a random variable (binomial) distribution. Use a normal distribution approximation to find standard deviation if the probability is 0.87 that there will be at least 15 earthquakes with mean=17.6.
Answer: 2.308 .
Step-by-step explanation:
Let X denotes the number of earthquakes in SanFernando valley region of Los Angeles in 1994.
Given: [tex]\mu=17.6[/tex]
Probability is 0.87 that there will be at least 15 earthquakes .
i.e. [tex]P(X\geq15)=0.87[/tex]
[tex]\Rightarrow\ P(\dfrac{X-\mu}{\sigma}\geq\dfrac{15-17.6}{\sigma})=0.87\\\\ \Rightarrow\ P(Z\geq\dfrac{-2.6}{\sigma})=0.87\ \ \ [Z=\dfrac{X-\mu}{\sigma}][/tex]
Z-value corresponding to p-value 0.87 is -1.1263 .
So, [tex]\dfrac{-2.6}{\sigma}=-1.1263[/tex]
[tex]\sigma= \dfrac{-2.6}{-1.1263}\approx2.308[/tex]
Hence, the required standard deviation = 2.308 .
x^2 -9 divided by x+3
Answer:
x-3
Step-by-step explanation:
x²-9÷x+3=x-3
Will GIVE 75 POINTS PLZ HELP!!!
Joey owns a small bakery and today Phoebe has ordered 100 cookies. If Joey boxes the cookies by the dozen, which of the following equations describes how many boxes of cookies Phoebe will have? Let b represent the number of boxes. (HINT: All of the cookie boxes are not necessarily full.)
A. 100 = b/12
B. 12b + 4 = 100
C. 12b = 100 – 4
D. 100/b = 12
E. (100-4)/12=b-1
F. 12 + b = 100
Answer:
A
Step-by-step explanation:
Enter the number in two other forms. six million, ninety thousand, thirty-six
Standard form and expanded form
Answer:
Standard form:
Simplify the words.
6,090,036
Expanded form:
Take the standard number and expand it.
6000000 + 90000 + 30 + 6
I'm sorry if I misunderstood.
Good luck though! :)
Please add Brainliest if you'd like, not that it matters.
PLease help i dont know how to do this please explain too!!
Answer:
6.25
Step-by-step explanation:
The perimeter is the sum of the lengths of the sides.
For a rectangle, it's the two widths plus the two heights.
P = 2W + 2H
Plugging in values:
52 = 2(3x − 1) + 2(x + 2)
52 = 6x − 2 + 2x + 4
52 = 8x + 2
50 = 8x
x = 6.25
Find the value of x.
Formula used:-Perimeter of rectangle = 2 ( l + b )
Solution:-We know that,
Perimeter of rectangle = 52 [ Given ]
⇒ 2 ( l + b ) = 52
⇒ 2 ( 3x - 1 + x + 2 ) = 52
⇒ 2 ( 4x + 1 ) = 52
⇒ 8x + 2 = 52
⇒8x = 52 - 2
⇒ 8x = 50
⇒ x = 50/8
⇒ x = 6.25 inches
In an election between two candidates,a candidate secured 47% of the votes polled and the lost the election by 8700 votes . Find the total number of votes polled and the votes secured by winning candidate
Answer:
Total number of votes- 145,000
Votes secured by winning candidate- 76,850
Step-by-step explanation:
Candidate A- 47%
Candidate B- 53%
6% difference or 8700 votes so
6%=8700
1%=1450
100%=145,000
53%= 76,850
I WILL GIVE BRAINLIEIST!!
Answer:
y= -7
Step-by-step explanation:
This line is a horizontal line.
Horizontal lines all have the same form of y=k (where k is the y-intercept of the horizontal line).
The y-intercept is the point where the line meets the y-axis (the vertical axis). For this line, the y-intercept is in between -6 and -8, making it: (0,-7) or just -7.
Let's return to the form for horizontal lines.
y= k
The y-intercept is -7. Substitute -7 in for k.
y= -7
The equation of the line is y= -7
my last question please help
Step-by-step explanation:
(2) (x+2)^2 + (-15x -3)
I hope this will be helpful for you.
Answer:
[tex]2(x + 2)^{2} + (-15x - 3)[/tex]
The guy above is correct
Proof :
[tex]2(x + 2)^{2} - 15x - 3 \\ 2((x + 2)(x + 2) - 15x - 3 \\ 2( {x}^{2} + 4x + 4) - 15x - 3[/tex]
[tex]2 {x}^{2} + 8x - 15x + 8 - 3 \\ 2 {x}^{2} - 7x + 5[/tex]
My workings are in the picture
My asnwer was 5/2 and -1
The measures of the angles of a triangle are in the ratio 2 : 3 : 4. The simplified ratio of the measures of the exterior angles of the triangle is a : b : c. Find a + b + c.
Answer:
Step-by-step explanation:
2x+3x+4x=180 degrees
9x=180 fdegrees
x=180/9
x=20
2x=40
3x=60
4x=80
Answer:
18
Step-by-step explanation:
The measures of the angles of a triangle are in the ratio 2:3:4 means we have one interior angle measuring 2x, another measuring 3x, and the last one measuring 4x. We know the sum of the measures of the interior angles of a triangle is 180 degrees.
We need to solve the following equation to find first x, and then find the measurement of each interior angle of the triangle.
2x+3x+4x=180
(2+3+4)x=180
(9)x=180
x=180/9
x=20
So one interior angle measures 2x=2(20)=40.
Another measures 3x=3(20)=60.
The last measuring 4x=4(20)=80.
The exterior angles of this triangle therefore measure the following:
180-40=140
180-60=120
180-80=100
So the un-simplified ratio of the measures of the exterior angles is as follows:
140:120:100.
Let's simplify that.
It is easy to see each number is divisible by 10.
Let's reduce it by dividing each by 10:
14:12:10
Let's simplify more (as we want the most simplified ratio).
Each number is divisible by 2 since they are all even.
Let's reduce again but not by dividing by 2:
7:6:5
So the simplified ratio of the measures of the exterior angles of the triangle is a:b:c=7:6:5 and so a+b+c=7+6+5=18.
Answer is 18.
Lori is picking up lunch for herself and her coworkers. Some of her coworkers ordered the salad which costs $7.50, and some of her coworkers ordered the soup which costs $6.25. When Lori gets to the restaurant, she had lost the paper where she had written down who ordered which. She recalls that twice as many people ordered the salad than the soup, and she has a total of $63.75 to pay for the orders. How many people must have ordered the soup?
Answer: 3 people ordered soup.
Step-by-step explanation:
Let x be the number of people ordered salad and y be the number of people ordered soup.
As per given,
x=2y (i)
7.50x+6.25y= 63.75 (ii)
Substitute value of c =2y in (ii) , we get
7.50(2y)+6.25y= 63.75
⇒ 15y+6.25y = 63.75
⇒21.25y = 63.75
⇒ y= 3 [divide both sides by 21.25]
Then, x= 2(3) =6
So 6 people ordered salad and 3 people ordered soup.
A highway sign in Canada gives the speed limit as 100 kilometers per hour. If you are driving 62 miles per hour are you driving under the speed limit? (1mi=1.6km)
As we know that 1 mile=1.6km
then,
62 miles=62*1.6km
=99.2km/hour
so, yes we are driving under the speed limit.
Answer:
Yes
Step-by-step explanation:
Convert 62 mph to kph by multiplying it by 1.6
62(1.6)
= 99.2
Yes, you are driving under the speed limit
Complete the following table using the equation:
y = 2x^2
Plot the points on a graph and determine which graph best represents the equation.
Graph A
Answer:8,2,0,2,8; Graph A
Step-by-step explanation:
The graph of the given equation best represents a parabola.
What is the graph of an equation?A graph represents the nature of the equation graphically by plotting the points of it.
Given, y = 2x²
For x = - 2, y = 2(- 2)² = 8
For x = - 1, y = 2(- 1)² = 2
For x = 0, y = 2(0)² = 0
For x = 1, y = 2(1)² = 2
For x = 2, y = 2(2)² = 8
Therefore, the given table will be:
x - 2 - 1 0 1 2
y 8 2 0 2 8
By plotting the graph, it is clear that, the graph best represents a parabola.
Learn more about the graph of an equation here: https://brainly.com/question/4047677
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If 7x + 4 = -19 + 5x, then 2x – 14 equals
A-23
B 23
C-37
D-14
Answer:
C
Step-by-step explanation:
Here we have the question,
7x+4 = -19 + 5x
Now we add 19 to both sides,
7x + 4 + 19 = -19 + 19 + 5x
7x + 23 = 5x
Now we subtract 7x from both sides,
23 = -2x
We divide -2 from both sides,
x = -23/2
Now we plug this in into 2x - 14,
2(-23/2) - 14 = -23-14 = -37
Our answer is C
Please Help. Will give brainlleast.
Answer:
(-1, 0), (-1, -5)
Step-by-step explanation:
The initial translation transformation was ...
(x, y) ⇒ (x +4, y)
Then the reflection across the line y=x added the transformation ...
(x, y) ⇒ (y, x)
So, the result of the composition of transformations was ...
(x, y) ⇒ (y, x+4)
Then the reverse transformation, the one that gets from the image back to the pre-image, will be ...
(y, x+4) ⇒ (x, y)
(x, y) ⇒ (y-4, x)
The points A", B", C", D" will be transformed back to pre-image points ...
A"(-4, 5) ⇒ A(1, -4)
B"(-1, 5) ⇒ B(1, -1)
C"(0, 3) ⇒ C(-1, 0) . . . . . . matches an answer choice
D"(-5, 3) ⇒ D(-1, -5) . . . . . matches an answer choice
2-(3x2)➗6 solve this asap pls (I just need the number) ty <3
Answer:
1
Step-by-step explanation:
A student measures the mass of an 8 cm 3 block of brown sugar to be 12.9 g. What is the density of the brown sugar?
Answer:
[tex]\huge\boxed{\rho=1.6125\dfrac{g}{cm^3}}[/tex]
Step-by-step explanation:
The formula of a density:
[tex]\text{density}=\dfrac{mass}{volume}\Rightarrow\rho=\dfrac{m}{V}[/tex]
We have
[tex]\text{mass}\ m=12.9g\\\\\text{volume}\ V=8cm^3[/tex]
Substitute:
[tex]\rho=\dfrac{12.9g}{8cm^3}=\dfrac{12.9\cdot10}{8\cdot10}\dfrac{g}{cm^3}=\dfrac{129}{80}\dfrac{g}{cm^3}=1.6125\dfrac{g}{cm^3}[/tex]
The the density of the brown sugar is equal to [tex]1.6125 \;g/cm^3[/tex]
Given the following data:
Volume = 8 [tex]cm^3[/tex]Mass = 12.9 gramsTo find the density of the brown sugar;
Density can be defined as mass all over the volume of an object.
Simply stated, density is mass per unit volume of an object.
Mathematically, the density of a substance is given by the formula;
[tex]Density = \frac{Mass}{Volume}[/tex]
Substituting the values into the formula, we have;
[tex]Density = \frac{12.9}{8}[/tex]
Density = [tex]1.6125 \;g/cm^3[/tex]
Therefore, the the density of the brown sugar is equal to [tex]1.6125 \;g/cm^3[/tex]
Find more information: brainly.com/question/5995838
can some one plzz answer this fastttttt plzzz
Answer:
Please see attached picture
hope it helped you:)
3.87 m to kilometers
Answer:
0.00387
To convert from meters to kilometers, you must divide the number pf meters by 1000.
3.87 ÷ 1000 = 0.00387.
So, that is the answer. Hope it helps!
Solve 5g = 20
Please and thank u
Answer:
g = 4
Step-by-step explanation:
5g = 20
Divide each side by 5
5g/5 = 20/5
g = 4
Answer:
g= 4
Step-by-step explanation:
5g = 20
5g /5 = 20 /5
g =4
pls help im stuck on this
The -2/5 means we go to the left 2/5 of a full unit. So we take 2 small little steps (going over 2 little tickmarks), then we move 4 small steps to the right due to the +4/5 portion. Ultimately, we end up at 2/5 as the answer
So -2/5 + 4/5 = 2/5
This can be thought of as -2+4 = 2, then you just stick 5 in the denominator for each term.
Please help ASAP. Worth 50 points
Answer:
the anser is 9.5+1.5n and the second ansr is 48x+16
Answer:
a
Step-by-step explanation:
Classify the number 0 by listing all the sets of numbers to which it belongs
Answer:
0 belongs to the set of whole number,set of rational numbers,set of real numbers and integers
Step-by-step explanation:
Evaluate the expression. 202 + 6(9 + 3)
Answer:
= 274
Step-by-step explanation:
202 + 6(9 + 3)
= 202 + 9 * 12
= 202 + 72
= 274
Answer:
Its is actually 472
Step-by-step explanation: