The statement that would most likely have a negative linear correlation coefficient is amount of money spent on baby food as a child ages
What is correlation?Correlation coefficient is the value that relates two variables in question. Correlation can be positive, negative or no correlation
Note that the correlation coefficients are only values from 0 and 1. The statement that would most likely have a negative linear correlation coefficient is amount of money spent on baby food as a child ages
The amount of money spent on a baby is never a function of its age. The baby will age regardless.
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The lifespan of a car battery averages 5 years. Suppose the battery lifespan follows an exponential distribution. What is the probability that the battery lasts more than 3 years
The probability that battery lasts more than 3 years is [tex]e^{-0.6 }[/tex].
Parameter of Exponential Distribution
It is given that the average lifespan of the car battery = 5 years
⇒ μ = 5
And, we have to find the probability that the car battery lasts more than 3 years.
Now, the relation between the parameter of exponential distribution, λ and average, μ is given as,
1/ λ = μ
⇒ λ = 1/5
Calculating the Probability
The probability for the car battery to lasts more than 3 years is given by P(N>3). Here, N is the lifespan of the car battery.
P(N>3) = 1 - P(N≤3)
P(N>3) = 1-F(4)
Here, F is the exponential distribution for the lifespan of the car battery.
P(N>3) = 1-(1-e^(-λn))
P(N>3) = [tex]e^{-3/5}[/tex]
Thus, the required probability is,
P(N>3) = [tex]e^{-0.6 }[/tex]
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Island A is 160 miles from island B. A ship captain travels 170 miles
from island A and then finds that he is off course and 200 miles from
island B. What bearing should he turn to, SO he is heading straight
towards island B?
The ship captain should be turned 129.49 so it's heading straight for Island B.
Given Island A is 160 miles from Island B and the captain of a ship travels 170 miles from Island A and then discovers that he is off course and 200 miles from island B.
So we gave it
a = 200 feet
b = 170 feet
c = 160 feet
We need to find angle C which goes directly to island B.
We apply the "cosine law":
[tex]\begin{aligned}\cos C&=\frac{a^2+b^2-c^2}{2ab}\\ &=\frac{(200)^2+(170)^2-(160)^2}{2\times 200\times 170}\\ &=\frac{40000+28900-25600}{68000}\\ &=\frac{43300}{68000}\\ &=0.636\end[/tex]
Now we multiply both sides by cos⁻¹, we get
cos⁻¹(cos C)= cos⁻¹(0.636)
C = 50.51
The interior angle is 50.51°
We need to find the outer angle to find the bearing the captain needs to turn
Applying the additional angle ruler:
The outside angle = 180 - 50.51 = 129.49°
Therefore, he must turn so as to head directly for Island B, where Island A is 160 miles from Island B and the captain is sailing 170 miles.
from Island A and then discovers that it is off-road and 200 miles away
Island B is 129.49.
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Instructions: Find the measure of the indicated angle to the nearest degree.
Write and simplify, but do not evaluate, an integral with respect to x that gives the length of the following curve on the given interval y=2cos 3x on -- An integral that gives the arc length is a d x (Type exact answers.) Enter your answer in each of the answer boxes.
The arc length of [tex]y=2\cos(3x)[/tex] on the interval [tex][a,b][/tex] is
[tex]\displaystyle \int_a^b \sqrt{1 + (y')^2} \, dx = \int_a^b \sqrt{1 + (-6\sin(3x))^2} \,dx = \boxed{\int_a^b \sqrt{1+36\sin^2(3x)} \, dx}[/tex]
URGENT WHOEVER ANSWERS CORRECTLY AND FAST GETS BRAINLY
40% of the house plants were watered today. 320 house plants were watered. Which equation can be used to find how many plants there were?
40x = 320
0.40x = 320
x
=
0.40
--------
320
x = 0.40(320)
Answer:
0.40x = 320
Step-by-step explanation:
If 40% of the total houseplants watered = 320
0.40 times x (total houseplants) = 320
Answer:
[tex]\frac{x}{0.40} = 320 Plants[/tex]
Step-by-step explanation:
[tex]\frac{x}{0.40} = 320 Plants[/tex]
[tex]X = (0.40)(320)Plants[/tex]
[tex]X = 128Plants[/tex]
Hicro
children in a class are asked about the animals they own.
between them, they only have cats, dogs, rabbits and hamsters.
the pictogram shows information about the numbers of cats, dogs and rabbits
owned by members of the class.
a total of 33 animals are kept as pets. complete the pictogram.
While solving the pictogram, we get that the number of hamsters owned are 4.
Solution:
total number of pets = 33
total number of cats = 12
total number of dogs = 11
total number of rabbits = 6
then total number of hamsters = total pets - total cats, dogs, and rabbits
total number of hamsters = 33 - ( 12 + 11 + 6)
total number of hamsters = 4
also, on the pictogram one block represents 4 animal. then, total number of hamsters will be represented by one block.
view the second attachment for answer.
What is pictogram?
A pictogram, also known as a pictogramme, pictograph, or just a picto[1], is a graphic symbol that communicates its meaning by a visual likeness to an actual thing.In writing and graphic systems where the characters resemble pictures to a large extent, pictographs are frequently utilized.Geographical, recreational, and tourism-related topics can all benefit from the usage of pictograms.Know more about pictogram numerical
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I hope you are trying to ask the question below in the image
A student is overheard saying: "I don't need to learn the Primary Trig Ratios. I am just going to use the Sine
and Cosine Laws to solve problems." Show by example that the student is right. Explain the advantages and
disadvantages to this approach. Step by step. Thank you!
The sine and cosine rule is typically used to find the measure of angles in trigonometry.
How to illustrate the trigonometry?It should be noted that the sine rule is used when we are given:
two angles and one side.two sides and a non included angle.The cosine rule is used when we are given:
there sides two sides and the included angle.The advantage is that it can help us understand the connections between the sides and their angles.
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Consider dealing a hand of 8 cards from a well shuffled standard deck of playing cards. The expected value of the number of face cards in the hand is (Q
Answer:
2 face cards
Step-by-step explanation:
By definition, there are 12 face cards (Kings, queens, and jacks) and 36 numbered cards (2's through 10's) in a standard deck of 52 cards. Aces are not considered face cards (no face on the card).
The ratio of face cards in a full deck is (12/52) or slightly over 23%.
The likelihood of a face card in a hand of 8 cards is:
(8 cards)*(12 face cards/52 cards) = 1.85 cards. We need to round to the nearest whole card, so the expected number of face cards in a hand of 8 is 2 cards.
Graph the image of this triangle after a dilation with a scale factor of 2 centered at the origin. Use the polygon tool to graph the triangle.
The triangle is illustrated below.
How to explain the triangle?The first thing you should find are the new vertices:
(x, y) ---> (2x, 2y) ---> (x', y')
(0, 0) ---> (2 (0), 2 (0)) ---> (0, 0)
(-4, 4) ---> (2 (-4), 2 (4)) ---> (-8, 8)
(-4, -2) ---> (2 (-4), 2 (-2)) ---> (-8, -4)
Then, you must join the ordered pairs and graph the new triangle.
See the attached graph.
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Find the area of the polygon.
Answer:
36
Step-by-step explanation:
Hello!
Area of a Parallelogram: [tex]A = b*h[/tex]
b = baseh = heightGiven our shape:
Base = 9height = 4Don't forget, the height is the altitude to the base, which means it forms a perpendicular intersection. The height is not the slant height of the parallelogram.
Find the Area[tex]A = b*h[/tex][tex]A = 9*4[/tex][tex]A = 36[/tex]The area is 36 un².
find the exact value of sin (x-y) if sinx=4/9 and siny=1/4
Answer:
sin(x - y) = 0.21
Step-by-step explanation:
we have the sin values which we need to get cos values
sin (A-B) = sin A cos B - sin B cos A
sin² A + cos² A = 1
sin x = 4/9
cos² x = 1 - sin² x = 1 - 16/81 = 65/81
cos² x = 65/81
cos x = √65/9
sin y = 1/4
cos² y = 1 - sin² y = 1 - 1/16 = 15/16
cos² y = 15/16
cos y = √15/4
sin(x − y) = sin x cos y - sin y cos x
sin(x - y) = 4/9 √15/4 - 1/4 √65/9
sin(x - y) = (4√15-√65)/36
sin(x - y) = 0.21
socratic Narad T
Answer: C
Step-by-step explanation:
on edg
PLEASE HELP 50 POINTS
Step-by-step explanation:
The initial velocity of a particle moving along x−axis is u (at t=0 and x=0) and its acceleration a is given by a=kx.Meredith is 160 cm tall. Jane’s height is 90% of Meredith’s height. How tall is jane?
Pls help me
Here is a sequence of numbers
Answer:
a) Perfect square.
b) 9
Step-by-step explanation:
The given numbers are perfect squares.
64 = 8*8
49 = 7*7
36 = 6*6
25 = 5*5
16 = 4*4
So, the next number will be 3 *3 = 9
What is the area of this triangle?
Answer:
12 units^2
Step-by-step explanation:
Area of a triangle = 1/2 * base * height
base goes from -4 to +4 = 8 units
Height goes from 1 to 4 = 3 units
area = 1/2 * 8 * 3 = 12 units^2
4. (06.02 MC)
Write an equation of a line that passes through the point (7,3) and is parallel to the line y =
y=-3x+3.0
x + 3. (5 points)
Answer:
Step-by-step explanation:
Givens
Line: y = 3x + 3
Point: (7,3)
Discussion
The easiest variation on line problems is one like this one. The reason is that all you need do is read the slope of the given line.
m = 3 of the given line. Also the slope of the new line.
What you have so far is
y = 3x + b
The point is used to find b -- the y intercept.
x = 7
y = 3
You are not given this, but what you want to think is that when x = 7, y = 3
Substitute into the new equation
3 = 3*7 + b
3 = 21 + b Subtract 21 from both sides.
3 - 21 = 21-21 + b
- 18 = b
Answer
y = 3x - 18
Answer:
-2/3x+23/3
Step-by-step explanation:
y= mx+c
where
m is the slope c is the y-intercept.
1-getting the slope:
we are given that the line we are looking for is parallel to the line
y=-2/3x+3
this means that the slope of the two lines are equal . comparing the general formula with the given line , we would find that the slope of the given lines -2/3.this means that the slope of the lines we are looking for is also -2/3
The equation of the line now becomes:y=-2/3x+c
2-getting the value of c
to get the value of c, we will use a point that belongs to the line (7,3),substitute in the equation and solve for c as follows:
y=-2/3x+c
3=(-2/3)(7)+c
3=-14/3+c
c=3+14/3
c=23/3
Based on the above, the equation of the line we are looking for is:
y=-2/3x+23/3
Two friends are planning for a gathering. The food budget is modeled by 1/2(x-120)=10,where x is the amount spent on food. What are the least and greatest amounts that the two friends could spend on food
The least and greatest amounts that the two friends could spend on food are 100 and 140 respectively
Functions and values
Functions are expressions written in terms of letters known as variables. Given the equation that represents the food budget of two friends as shown;
1/2(x-120)=10
where x is the amount spent on food.
In order to determine the least and greatest amounts that the two friends could spend on food,
For the least amount
-(x-120) = 20
-x+120 = 20
x = 100
For the greatest amount
(x-120) = 20
x = 140
Hence the least and greatest amounts that the two friends could spend on food are 100 and 140 respectively
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WILL GIVE BRAINLIEST
The number of lattes sold daily by two coffee shops is shown in the table.
Shop A Shop B
55 36
52 40
50 34
47 39
51 44
48 41
53 40
53 38
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
Mean for both coffee shops because the data distribution is symmetric
Median for both coffee shops because the data distribution is not symmetric
Mean for shop B because the data distribution is symmetric; median for shop A because the data distribution is not symmetric
Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric
Answer:
It will be a more accurate thing to put it into the mean.
Step-by-step explanation:
Mainly, there is a lot of numbers in the data. So the reason Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric.
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In the figure below, parallel lines I and m are intersected by the transversal t. Based on the information given in the figure, what is the measure, in degrees, of x?
Answer:
there should have been names of every line and joining parts
Which of the following is a characteristic of the circumcenter of a triangle? A. It is the center of the circle that can be inscribed in a given triangle. B. It is equidistant from all three sides of the triangle. C. It is equidistant from all the vertices in the triangle. D. It is the intersection of all three angle bisectors of the triangle.
Tas
The three points marked on the graph are
the vertices (corners) of a parallelogram.
10
9
y
8
7
6
5
4
3
2
1
A
1 2
C
2
B
3 4 5 6 7 8 9
10
What are the coordinates of the fourth
vertex?
Answer: (8,10)
Step-by-step explanation:
To go from A to C, we go right 2 units and up 6 units.
So, if we let the fourth vertex be D, then to go from B to D, we must also go right 2 units and up 6 units from B.
Therefore, the answer is (8, 10).
what is trigonometric ratios
Answer:
Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle
Answer:
In mathematics, the trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths. They are widely used in all sciences that are related to geometry, such as navigation, solid mechanics, celestial mechanics, geodesy, and many others.
Hi
How are you?
Kya kar rahi hoo?
Find n if GCF(n, 40)= 10 and LCM (n, 40)= 280
Answer:
70
Step-by-step explanation:
GCF(x,y)*LCM(x,y)=xy
10*280=40n
2800=40n
70=n
n=70
27. The attendance at a party consisted of 35 men, a number of women and some children. The number of women was one and a half that of the children present. a) If there are a total of 65 participants, how many women attended the party?
Answer:
There are 35 Men, 12 Children, and 18 Women
Step-by-step explanation:
Men(M), Women(W) and Children(C)
We learn that:
M = 35
W = 1.5C , and
M+W+C = 65
----
M+W+C = 65
M+1.5C+C = 65
35+1.5C+C = 65
2.5C = 30
C = 12
If C=12 and W=1.5C, then W=18
----
There are 35 Men, 12 Children, and 18 Women
(35+12+18) = 65 participants
PLSSS THIS NEEDS TO BE DONE QUICKLY
Answer: 433.33 cm^3
Step-by-step explanation: Since the base is a square, volume = base area × height / 3
10*10 = 100, 100 * 13 = 1300, divided by 3 = 433.33 cm^3
Picture vvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvvv
Answer:
pretzel: 2
hotdog: 3
Step-by-step explanation:
Let h be the hotdog price and p the pretzel price.
We know that:
h + p = 5
and
2h + 3p = 12
We can solve this system of equations:
h = 5-p
2(5-p) + 3p = 12
So the second eq. becomes:
10 - 2p + 3p = 12
10 + p = 12
p = 2
Sub in the first:
h = 5 - p = 5-2 = 3
So p = 2, h = 3
Answer: $3 / hot dog
Step-by-step explanation:
Given information:
1 hot dog + 1 pretzel = $5
2 hot dogs + 3 pretzels = $12
Set variables:
Let x be the price per hot dog
Let y be the price per pretzel
Set system of equations:
x + y = 5
2x + 3y = 12
Multiply the first equation by 3:
3x + 3y = 15
2x + 3y = 12
Subtract the second equation from the first equation (Elimination):
(3x + 3y) - (2x + 3y) = 15 - 12
3x + 3y - 2x - 3y = 3
(3y - 3y) + 3x - 2x = 3
0 + x = 3
[tex]\boxed{x=3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Brad has $12 more than John. Together they have $84
Hello,
John : n
Brad : n + 12
n + n + 12 = 84
2n + 12 = 84
2n = 84 - 12
2n = 72
n = 72/2
n = 36
John $36 and Brad $36 + $12 = $48
Answer:
jhon =36 brad=48
Step-by-step explanation:
B=J+12
J+B=84
12+J+J=84
2J=72
J=36
B=J+12=36+12=48
Briana is looking for jobs and is hoping to find one that will allow
her to make at least $2,000 in her first paycheck. She has found
one possible postion at the local shoe store that is offering $200
signing bonues and a wage of $15 per hour. How many hours will
Briana need to work to make $2,000 in her first paycheck?
Answer: 120 hr
Step-by-step explanation: 15$ every hr so for 120 hrs it would be 1,800$ plus the signing bonus of 200$ would total 2,000$ but with out the bonus she would have to work 134 hrs for 2,010$
the ecentricity of the conic section below is
Hi! ❄
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
The eccentricity of the conic section below is 1, since the conic section given is a parabola.
The eccentricity of a parabola is 1.
Hope that made sense !!
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\star\tiny\pmb{_{calligraphy}}\star[/tex]
Hi!
[tex]{}[/tex] - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
The eccentricity of the conic section below is 1, since the conic section given is a parabola.
What is parabola?
a parabola is a plane curve which is mirror-symmetrical and is approximately U-shaped. The name "parabola" is due to Apollonius, who discovered many properties of conic sections. conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone.
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A function is a relation where each input value is assigned to (1) ___ one output value.the (2) ___ of a function is the set of all input values, or x-values, for which the function is defined. the (3) ___ of a function is the set of all output values, or y-values, for which the function is defined. to write the equation y = ax + b in function notation, substitute (4) ___ for y. options for 1: a. exactly b. at least c. less than options for 2: a. range b. interval c. domain d. rate of change options for 3: a. range b. rate of change c. interval d. domain options for 4: a. f(x) b. a c. b d. x
The blanks can be filed by exactly, domain, range, and, f(x) respectively.
While we've got a feature in formulation form, it also includes a simple count to assess the function. For example, the feature f(x)=5−3x2 f ( x ) = 5 − 3 x 2 can be evaluated with the aid of squaring the enter cost, multiplying by means of three, and then subtracting the product from 5.
You write capabilities with the function name observed by way of the established variable, together with f(x), g(x), or maybe h(t) if the function depends upon time. You read the function f(x) as "f of x" and h(t) as "h of t". functions no longer need to be linear. The feature g(x) = -x^2 -3x + 5 is a nonlinear characteristic.
A user is an actual-valued feature on a vector area, usually of functions. as an example, the electricity practical at the unit disk assigns various to any differentiable feature, For the practical to be non-stop, it's miles necessary for the vector space. of capabilities to have the perfect topology.
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