The table shows the ages and weights of babies at a hospital.
What is the correlation between age and weight as shown in the table?
A.) none
B.) positive
C.) negative
D.) constant
Answers
Answer:
Option (b) is correct.
The correlation between age and weight shown in the table is positive.
Step-by-step explanation:
Given: The table shows the ages and weights of babies at a hospital.
We have to determine the correlation between age and weight as shown in the table.
We first Plot these points to obtain the graph as show in attachment below.
Since, Using correlation calculator , we find the correlation as 0.83113
Which is positive
Thus, The correlation between age and weight shown in the table is positive.
As age increases the weight increase.Hence, positive.
The correlation between age and weight as shown in the table is positive, This is further explained below, Option B is correct
What is correlation?Correlation is simply a relationship that exists between events or objects, A relationship between mathematical variables that are subject to variation.
In conclusion, Therefore we look at the table to decipher the correlation between age and weight.
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Related Questions
The table shows data from a survey about the number of times families eat at restaurants during a week. The families are either from Rome, Italy or New York, New York:
High Low Q1 Q3 IQR Median Mean σ
Rome 18 1 3 7 4 6.5 6.4 4.3
NY 14 1 4.5 8.5 4 5.5 6.1 3.2
Which of the choices below best describes how to measure the center of this data?
- Both centers are best described with the mean.
-Both centers are best described with the median.
- The Rome data center is best described by the mean. The New York data center is best described by the median.
-The Rome data center is best described by the median. The New York data center is best described by the mean.
Answers
Final answer:
For Rome, both the mean and the median are almost identical, suggesting a well-balanced data set and either can be used to describe the center. For New York, the median might be a better measure if the data are skewed or contain outliers, but more information would be needed to make a definitive judgment.
Explanation:
When considering the best measure to describe the center of a data set, we should look at the presence of outliers and the distribution of the data. The mean is the numerical average and is sensitive to extreme values, while the median is the middle value that splits the data set in half and is less affected by outliers.
For Rome, the mean is 6.4 and the median is 6.5, which are very close to each other, indicating that the data is likely symmetric without extreme outliers. Thus, in Rome's case, either the mean or the median could serve as a good measure of center. On the other hand, New York's mean is 6.1 and the median is 5.5, suggesting slightly skewed data or the presence of outliers. However, without more data points or visual representation, it's difficult to determine which is more representative solely based on these summary statistics.
Considering the provided values and common statistical practice, the centers can potentially be described as follows:
The Rome data center can be best described by either the mean or the median as they are similar.
The New York data center might be best described by the median if outliers or skewness are present.
Which graph shows a triangle and its reflection image over the x-axis?
A. first picture
B. 2nd picture
C. picture 3
D. picture 4
A. is wrong
Answers
To make sure we're on the same page, I'm attaching your fourth drawing below. It's the result of taking a triangle and reflecting it over the horizontal x axis. Think of it like mirroring an image.
Answer-
In picture 4, the triangle is reflected over x axis.
Solution-
While reflecting a point over x axis, (x, y) → (x, -y) rule is followed.
Only the sign of y-coordinate is changed, keeping x-coordinate intact.
In the first picture, though the image is reflected, but it is reflected over y axis.
In the second picture, the image is first reflected over y axis, then it is translated 1 unit down.
We rotating a point 90° clockwise, (x, y) → (y. -x) rule is followed.
In the third picture, the triangle is rotated 90° clockwise and then translated 1 unit to right.
But, in case of the fourth picture, the figure is reflected over x axis. Only the y coordinates sign are changed, all the x coordinates are same as before.
Can someone please help me
Answers
B = area of base
h = height of cylinder
It turns out that
V = B*h
In a similar way to that of a cube
If we know that V = 84pi and h = 7, then we can plug those values into the formula above, and solve for B
V = B*h
84pi = B*7
84pi/7 = B*7/7 ... divide both sides by 7
12pi = B
B = 12pi
Therefore the base is 12pi square units
The top of a cliff overlooking the ocean is 250 feet above sea level. The sea floor at the foot of the cliff is 40 feet below sea level. A rock falls off the cliff and drops toe the sea floor. What number represents the change in elevation of the rock.
Answers
The change in elevation of the rock is 290 feet.
Explanation:The change in elevation of the rock can be calculated by finding the difference in height between the top of the cliff and the sea floor.
Given that the top of the cliff is 250 feet above sea level and the sea floor is 40 feet below sea level, we can calculate the change in elevation by subtracting the elevation of the sea floor from the elevation of the top of the cliff.
The change in elevation is therefore 250 feet - (-40 feet), which simplifies to 250 feet + 40 feet = 290 feet. So, the number that represents the change in elevation of the rock is 290 feet.
What would you do to isolate the variable in the equation below, using only one step? x + 5 = -12 Select one: a. Add 5 to both sides of the equation. b. Subtract 5 from both sides of the equation. c. Add 12 to both sides of the equation. d. Subtract 12 from both sides of the equation.
Answers
To isolate the variable in x + 5 = -12, subtract 5 from both sides of the equation. This leads to the equation x = -12 - 5.
Explanation:In order to isolate the variable x in the equation x + 5 = -12, you should subtract 5 from both sides of the equation. This gives us the equation in a simplified form that allows us to determine the value of x. The idea here is to cancel out the +5 on the left side by subtracting 5 from both sides, resulting in x = -12 - 5. Hence, the answer is option b.
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Find the missing value. Show your work
(GEOMETRY, PLEASE HELP!!)
Answers
y=12sin51 units
y≈9.33 units (to nearest hundredth of a unit)
...
tanα=12/5
α=arctan2.4°
α≈67.38° (to nearest hundredth of a degree)
...
tan13=x/24
x=24tan13 units
x≈5.54 units (to nearest hundredth of a unit)
...
sin20=10/x
x=10/sin20 units
x≈29.24 units (to nearest hundredth of a unit)
A cell phone company orders 500 new phones from a manufacturer. If the probability of a phone being defective is 2.6%, predict how many of the phones are likely to be defective. Round to the nearest whole number.
A.)16 phones
B.)11 phones
C.)13 phones
D.)130 phones
Answers
0.026(500) = 13 <==
the area of Juan's garden after he adds a border x feet wide is equal to (3+2x)(6+2x) which polynomial represents the area of Juan's garden?
A. 4x^4+30x+18
B. 4x^2+22x+27
C. 4x^2+18x+18
D. 4x^2+6x+18
Answers
18 + 6x + 12x + 4x² =
4x² + 18x + 18
Consider the trinomial x2 – 9x + 18. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?
Answers
AC = 18
Factors of AC: 1 * 18, 2 * 9, 3 * 6, -1 * -18, -2 * -9, -3 * -6
Sum to -9: 19, 11, 9, -19, -11, -9
(x - 3)(x - 6)
The required pair of number are -3 and -6
The factored form of the trinomial is (x-3) and (x-6)
The standard form of a quadratic equation is expressed as:
[tex]ax^2+bx+c=0[/tex]
Given the expression [tex]x^2 - 9x + 18.[/tex]
[tex]a=1\\b=-9\\c=18[/tex]
We are to get two values that we must add to get b, and that we will multiply that will give c.
The given values are -6 and -3
Check:
[tex]-6+(-3)=-6-3=-9\\-6(-3) = 18[/tex]
Factorize the trinomial
[tex]x^2-9x+18\\x^2-6x-3x+18\\x(x-6)-3(x-6)\\(x-3)(x-6)[/tex]
Hence the factored form of the trinomial is (x-3) and (x-6).
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A pyramid has a regular hexagonal base with side lengths of 4 and a slant height of 6 find the toal area of the pyramid
Answers
so.. then we end up with the a 30, 60, 90 angles triangle, and thus we apply the 30-60-90 rule, to get the apothem.
now the area of a regular polygon is just (1/2) (apothem)(perimeter).
now, we know the apothem, the perimeter of the hexagon is just 4+4+4+4+4+4. So, just get those values, plug them in to get the area of the hexagonal base.
if you look at the picture bottom-side, the slant-height of the pyramid, is just the altitude/height of the triangular face. So, you really have 6 triangles whose base is 4 and height is 6, and you know how to get the area of a triangle.
so, just get the area of the base, plus the area of the triangular faces, sum them up, and that's the total area of the hexagonal pyramid.
Describe the relationship between the segments made when secant lines intersect outside a circle. Use the following image as reference.
Answers
Let the measure of ar DC be 2a, then m(DAC)=m(DBC)=a, since angles DAC and DBC are both inscribed angles intercepting arc DC.
m(P)=b.
Then triangles APC and BPD are similar, because they have 2 pairs of common angles.
from the similarity of APC and BPD, we can write the ratios:
[tex] \frac{AP}{BP} = \frac{PC}{PD} = \frac{AC}{BD} [/tex]
Can someone please answer this for me I'm begging
Answers
As we know the length of circle is 2π*r in this case r = 8.2
The arc JM is 1/4 length of the whole circle so arc JM = (2π*8.2)*(1/4) = 2π*8.2/4 = π*8.2/2 = π*4.1
if we assume that π=3.14 the answer will be 3.14 * 4.1 = 12.874.... And as the answer needs to be rounded to the nearest tenth it will be 12.874≈12.9
So the answer will be 12.9
Boating across a river, the current moves you downstream. Instead of going directly across the river, the boat moves at a 10 degree angle. If the river is 420 feet across, how far downstream will you end up?
Answers
To solve this problem, we use the tan function. The distance across the river is the adjacent side, the distance drownstream is the opposite side while the direction of the boat is the hypotenuse.
tan θ = opposite side / adjacent side
tan 10 = opposite side / 420 ft
opposite side = 74.06 ft
Therefore the boat will move about 74 ft downstream.
PLEASE HELP!!!
How can one thirdx − 2 = one fourthx + 11 be set up as a system of equations?
3y − x = −6
4y − x = 44
3y + x = −6
4y + x = 44
3y − 3x = −6
4y − 4x = 44
3y + 3x = −6
4y + 4x = 44
Answers
ur 2 equations are :
y = 1/3x - 2 and y = 1/4x + 11...but we need them in standard form...
y = 1/3x - 2
-1/3x + y = -2 ..multiply by 3
-x + 3y = -6.....or 3y - x = -6 <==
y = 1/4x + 11
-1/4x + y = 11 ...multiply by 4
-x + 4y = 44 or 4y - x = 44 <==
The system of equations are 3y − x = −6 and 4y − x = 4
What is Equation?Two or more expressions with an Equal sign is called as Equation.
One third x − 2 = one fourth x + 11
1/3x - 2 = 1/4x + 11
Now let us take y as 1/3x - 2
y= 1/3x - 2
3y=x-6
Subtract x on both sides
3y-x=-6
and Let us consider the right side equation
y=1/4x + 11
4y=x+44
Subtract x on both sides
4y-x=44
Hence, the system of equations are 3y − x = −6 and 4y − x = 44
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Why is it difficult to measure circumference accurately? answers?
Answers
One of either the circumference or distance across is not rational. If you have a bit of string precisely 1 inch long and you make it into an idealize circle, the distance across of that circle will be an irrational value. You could try to measure it, however regardless of how precisely you measured it, it would in any case not be very sufficiently precise. So, you can never know precisely what the diameter is just by measuring.
What's more, on the off chance that you took that string and made a width with it, the circumference would be irrational and you could never have the capacity to measure the circumference precisely enough. Whatever you quantified would be close however not correct.
WILL GIVE A BRAINLIEST IF UR RIGHT!!
Evaluate f(–2) in the given function below.
f(x)= 3x-3 if -5 ≤ x < 3 x+4 if 3 ≤ x ≤ 12
A.
–6
B.
–3
C.
2
D.
–9
Answers
f(-2)=3(-2)-3
f(-2)=-6-3=-9
so D is correct
The price of a community pool membership has a one-time sign-up fee and a monthly fee. The price can be modeled by the function y = 20x + 50, where x is the number of months.
What is the slope, and what does it represent?
Answers
Answer:
The answer is 20 and it represents the monthly fee.
Step-by-step explanation:
Identify the values of a, b, and c that would be used in the quadratic formula to solve the equation 3x2− 5x + 5 = 0. A. a = 3, b = 5, c = 5 B. a = 3, b = −5, c = 5 C. a = 5, b = −5, c = 0 D. a = −3, b = 5, c = −5
Answers
a=3 b=-5 c=5
A. a = 3, b = 5, c = 5
B. a = 3, b = −5, c = 5
C. a = 5, b = −5, c = 0
D. a = −3, b = 5, c = −5
answer is B
what is the length of a circle that has a central angle of 98 degrees and 6 cm rounded to the nearest 100th. using 3.14
Answers
so...
If we take pi to be 3.14,
Arc length = 2(3.14)(6) * 98/360
= 37.68 * 98/360 = 10.26 cm
How many years will it take $1,000 invested at 7% interest to earn $280?
Answers
280/70 = 4
It will take 4 years.
what is the average rate of change for this quadratic function please help
Answers
---------------------------------------------------
---------------------------------------------------
Explanation:
When x = 0, the value of y is y = -6. You can see this as you draw a vertical line through x = 0. This vertical line is the y axis. The parabola crosses the y axis at -6. This point is the y intercept.
When x = 3, the value of y is y = 0. This is one of the two x intercepts. An x intercept is a location where the graph crosses the x axis.
So we have the two points (0,-6) and (3,0). Let's find the slope of the line through these two points
(x1,y1) = (0,-6)
(x2,y2) = (3,0)
Slope:
m = (y2-y1)/(x2-x1)
m = (0-(-6))/(3-0)
m = (0+6)/(3-0)
m = 6/3
m = 2
The slope of the line through those two point is m = 2.
a scale model of a school building is 5 inches tall. If the building is 100 feet tall, find the scale of the model
Answers
Answer with Step-by-step explanation:
A scale model of a school building is 5 inches tall.
Actual size of the school building is 100 feet.
1 feet=12 inches
100 feet=12×100 inches
= 1200 inches
5 inch is representing 1200 inches
1 inch represents 1200/5 inches
1 inch represents 240 inches
or 1 inch represents 12×20 inch
or 1 inch represents 20 feet
Scale of the model is:
1 inch represents 240 inches
1 inch represents 20 feet
Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with the transformation that shows it is congruent to ABCD.
Answers
Translation 7 units right gives E(4, 4), F(8, 3), G(10, 6), and H(8, 6) as shown in brown in the diagram below
Reflection on the y-axis gives E(3, 4), F(-1, 3), G(-3, 6) and H(-1, 6) as shown in green in the diagram below
Reflection on the x-axis gives E(-3, -4), F(1, -3), G(3, -6) and H(1, -6) as shown in red in the diagram below
Translation 5 units down gives E(-3, -1), F(1, -2, G(3, 1) and H(1, 1) as shown in purple in the diagram below
Answer:
Answers a little bit more simplified, all credit to the expert :)
E(4, 4), F(8, 3), G(10, 6) and H(8, 6) <-----> a translation 7 units right
E(3, 4), F(-1, 3), G(-3, 6), and H(-1, 6) <-----> a reflection across the y-axis
E(-3, -1), F(1, -2), G(3, 1), and H(1, 1) <-----> a reflection across the x-axis
E(-3, -1), F(1, -2), G(3, 1) and H(1, 1) <-----> a translation 5 units down
Step-by-step explanation:
A recipe for pastry has flour, butter and water mixed in the ratio 24 : 8 : 3 if fiona follows the recipe and uses 3 cups of flour, how many cups of butter should she use?
Answers
Ratio = amount of flour / amount of butter
Ratio = 24 / 3 = 8
This means that there is 8 cups of flour in every cup of butter.
Amount of butter = (3 cups of flour) x (1 cup of butter / 8 cups of flour)
Amount of butter = 3/8 cups of butter
Hence, the amount of butter needed is 3/8 cups.
The same can be done in order to determine the amount of water needed to be mixed for the recipe.
Fiona should use 1 cup of butter when using 3 cups of flour, according to the recipe's ratio of 24:8:3 for flour to butter to water.
Explanation:The question asks how much butter Fiona should use if she's using 3 cups of flour and the recipe calls for flour, butter, and water in the ratio of 24:8:3. To solve this, we take the ratio for butter (which is 8) and divide it by the flour ratio (which is 24), then multiply by the number of cups of flour Fiona is using (which is 3 cups).
Step-by-step Solution:
Write down the original ratio: 24 parts flour : 8 parts butter : 3 parts water.Calculate the ratio of butter to flour, which is 8/24. This simplifies to 1/3.Since Fiona is using 3 cups of flour, multiply the simplified butter ratio by the amount of flour: (1/3) * 3 cups = 1 cup. Thus, she would need 1 cup of butter.For one photography session, Dexter earns no less than $50, but no more than $100. Which inequality can be used to represent his earnings, e?
e ≥ 50 or e ≤ 100
e > 50 or e < 100
50 < e < 100
50 ≤ e ≤ 100
Answers
50 ≤ e ≤ 100
Answer:
The answer is D.
Step-by-step explanation:
We know this because it is an "and" problem because it is numbers in between, not outside.
We also know it is "no less" or "no more" than 50 or 100. so we use a less than and equal too. Not just a less than sign.
Really hoped this helped, kind of in a test right now so just giving a brief way of how to figure this stuff out.
Continue and have fun learning!
How can ΔABC be mapped to ΔXYZ?
First, translate .
Next, rotate ΔABC about B to align the sides and angles.
Answers
To map ΔABC to ΔXYZ, you need to translate the triangle and then rotate it about a point.
Explanation:In order to map ΔABC to ΔXYZ, you can follow these steps:
First, translate ΔABC by moving it horizontally and vertically to a new position.Next, rotate ΔABC about point B to align the sides and angles with ΔXYZ.By performing these steps, you can map one triangle to another.
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Identify all the sets to which 0.41567 belongs. Choose from rational,irrational,whole,and integer
Answers
... rational because it can be expressed as a fraction (e.g., 41567/100000)
... not irrational for the same reason
... not whole (obviously)
... not integer (obviously)
Answer:
1.) D
2.) C
3.) C
4.) B
5.) A
6.) D
7.) A
8.) D
9.) A
10.) D
Step-by-step explanation:
Which of the following is a solution of x2 + 5x = −2?
5 plus or minus the square root of 33 divided by two.
5 plus or minus the square root of 17 divided by two
negative 5 plus or minus the square root of 33 divided by two.
negative 5 plus or minus the square root of 17 divided by two.
Answers
x^2 + 5x + 2 = 0
x = -b (+-) sqrt (b^2 - 4ac) / 2a
a = 1, b = 5, and c = 2
x = -5 (+-) sqrt (5^2 - 4(1)(2)) / 2(1)
x = -5 (+-) sqrt (25 - 8) / 2
x = -5 (+-) sqrt (17) / 2
answer is : negative 5 plus or minus the square root of 17 divided by 2
Answer:
negative 5 plus or minus the square root of 17 divided by two: [tex]x=\frac{-5\pm\sqrt{17}}{2}[/tex].
Step-by-step explanation:
We have the equation
[tex]x^2+5x=-2[/tex]
[tex]x^2+5x+2=0[/tex].
To solve it, we are going to use the general formula. This formula is used to find the solutions of quadratic equations.
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
where a is the coefficient of [tex]x^2[/tex], in this case a=1, b is the coefficient of x, in this case b=5 and c is the independent term, in this case c=2.
[tex]x=\frac{-5\pm\sqrt{5^2-4(1)(2)}}{2(1)}[/tex]
[tex]x=\frac{-5\pm\sqrt{25-8}}{2}[/tex]
[tex]x=\frac{-5\pm\sqrt{17}}{2}[/tex].
What is the peremeter of this polygon? (With picture)
Answers
so.. simply, use the distance formula, to get their length an add them up, and that's the perimeter of the polygon.
[tex]\bf \textit{distance between 2 points}\\ \quad \\ \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -1}}\quad ,&{{ 2}})\quad % (c,d) &({{ 2}}\quad ,&{{ 4}})\\ &({{ 2}}\quad ,&{{ 4}})\quad % (c,d) &({{ 3}}\quad ,&{{ -2}})\\ &({{ 3}}\quad ,&{{ -2}})\quad % (c,d) &({{ -2}}\quad ,&{{ -3}})\\ &({{ -2}}\quad ,&{{ -3}})\quad % (c,d) &({{ -1}}\quad ,&{{ 2}}) \end{array}\qquad % distance value d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}[/tex]
[tex]\bf -------------------------------\\\\ d=\sqrt{[2-(-1)]^2+(4-2)^2}\implies d=\sqrt{(2+1)^2+(2)^2} \\\\\\ d=\sqrt{3^2+2^2}\implies \boxed{d=\sqrt{13}}\\\\ -------------------------------\\\\ d=\sqrt{(3-2)^2+(-2-4)^2}\implies d=\sqrt{1^2+(-6)^2}\implies \boxed{d=\sqrt{37}}\\\\ -------------------------------\\\\ d=\sqrt{(-2-3)^2+[-3-(-2)]^2}\implies d=\sqrt{(-5)^2+(-3+2)^2} \\\\\\ d=\sqrt{(-5)^2+(-1)^2}\implies \boxed{d=\sqrt{26}}[/tex]
[tex]\\\\ -------------------------------\\\\ d=\sqrt{[-1-(-2)]^2+[2-(-3)]^2}\implies d=\sqrt{(-1+2)^2+(2+3)^2} \\\\\\ d=\sqrt{(1)^2+(5)^2}\implies \boxed{d=\sqrt{26}}[/tex]
so, those are their lengths, sum them all up, that's the polygon's perimeter.
Which is equivalent to 5√1,215^x?
A)243x
B)1,215^1/5x
C)1,215^1/5x
D)243^1/x
Answers
Answer:
Option C is correct
The expression [tex](1215)^{\frac{1}{5}x}[/tex] is equivalent to [tex]\sqrt[5]{1215^x}[/tex]
Step-by-step explanation:
Simplify the radical Expression: [tex]\sqrt[5]{1215^x}[/tex]
A radical expression can be written by using the exponents and also using the following procedure:
[tex]\sqrt[n]{x} = x^{\frac{1}{n}}[/tex]
when x be non-negative then n can be any index
when x is negative, then n can be odd.
The following radical expression can be written as:
[tex]\sqrt[5]{1215^x} = (1215^x)^{\frac{1}{5}}[/tex] = [tex](1215)^{\frac{1}{5}x}[/tex]
Therefore, the expression [tex](1215)^{\frac{1}{5}x}[/tex] is equivalent to [tex]\sqrt[5]{1215^x}[/tex]