When a distribution is tilted to the left, the correct response is "mean median".
What is mean?The arithmetic mean, arithmetic average, or simply the mean or average, is the sum of a collection of numbers divided by the number of numbers in the collection in mathematics and statistics. The collection is frequently a collection of results from an experiment, observational research, or survey. The mean is the average of a set of variables in mathematics and statistics. The mean may be calculated in a variety of methods, including the simple arithmetic mean (add the numbers and divide the total by the number of observations), geometric mean, and harmonic mean.
Here,
For a distribution that is skewed left, it means that the values tend to be clustered towards the lower end of the scale and there is a long tail towards the higher end. In such a distribution, the mean is usually lower than the median.
So, the correct answer is "mean < median" when a distribution that is skewed left.
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2 1/12 - 1 5/12
How many are left?
Answer:
is it 21 or 2 whole?
Step-by-step explanation:
plz clarify the question first i am discombobulated
How do i solve this system.
x = 2/3
y= x^2+20
Step-by-step explanation:
hope this will help you......
PLEASE HELP TODAY!!!! WILL GIVE BRAINLIST
Hello!
We will go tu use the pythagorean theorem!
So:
BA² = BC² + AC²
AC² = BA² - BC²
AC² = 52² - 20²
AC² = 2304
AC = √2304
AC = 48
Please help!
//Thank you!
Answer:
x=9
Step-by-step explanation:
It’s 9 trust me I know it’s 9 ok it’s 9 I’m sure it’s 9 ok the answer is 9 got it 9 byee
A teaching hospital in South-West Part of Nigeria receives on the average 5 pregnant women with high blood pressure per week. What is the probability that on a particular week, the teaching hospital will receive:
1.) No high BP pregnant woman
Answer:
The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
Step-by-step explanation:
We use the Exponential distribution,
Since we are given that on average, 5 pregnant women with high blood pressure come per week,
So, average = m = 5
Now, on average, 5 people come every week, so,
5 women per week,
so, we get 1 woman per (1/5)th week,
Hence, the mean is m = 1/5 for a woman arriving
and λ = 1/m = 5 = λ
we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,
P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,
Now,
P(X>1) = 1 - P(X<1),
Now, the probability density function is,
\(f(x) = \lambda e^{-\lambda x}\)
And the cumulative distribution function (CDF) is,
\(CDF = 1 - e^{-\lambda x}\)
Now, CDF gives the probability of an event occuring within a given time,
so, for 1 week, we have x = 1, and λ = 5, which gives,
P(X<1) = CDF,
so,
\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)
So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068
The length of a rectangle is four times its width.
If the area of the rectangle is 100yd2 , find its perimeter.
Answer:
Pretty Simple!
Step-by-step explanation:
First, what you have to know is that the formula for the area of a rectangle is:
\(LW=A\)
(Length times Width equals the Area.)
Knowing this, we can input 100yd^2 into the equation.
\(LW=100\)
Also, we know that the Length is equal to four times the Width.
Meaning that, we can substitute L with 4W.
Thus:
\(4W^{2}=100\)
So, all we have to do now is solve!
\(W=5\)
Now, multiply that by 4, and we get 20:
\(L=20\)
That's it!
Happy Algebra/Geometry!
Why is the y - intercept of the function f(x) =4-5x
Answer: (0,4)
Step-by-step explanation:
If Logx (1 / 8) = - 3 / 2, then x is equal to what?
Answer:
Logx(1/8) = -3/2
x = 4
Answered by GAUTHMATH
100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer:
\(BC=5.1\)
\(B=23^{\circ}\)
\(C=116^{\circ}\)
Step-by-step explanation:
The diagram shows triangle ABC, with two side measures and the included angle.
To find the measure of the third side, we can use the Law of Cosines.
\(\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)
In this case, A is the angle, and BC is the side opposite angle A, so:
\(BC^2=AB^2+AC^2-2(AB)(AC) \cos A\)
Substitute the given side lengths and angle in the formula, and solve for BC:
\(BC^2=7^2+3^2-2(7)(3) \cos 41^{\circ}\)
\(BC^2=49+9-2(7)(3) \cos 41^{\circ}\)
\(BC^2=49+9-42\cos 41^{\circ}\)
\(BC^2=58-42\cos 41^{\circ}\)
\(BC=\sqrt{58-42\cos 41^{\circ}}\)
\(BC=5.12856682...\)
\(BC=5.1\; \sf (nearest\;tenth)\)
Now we have the length of all three sides of the triangle and one of the interior angles, we can use the Law of Sines to find the measures of angles B and C.
\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)
In this case, side BC is opposite angle A, side AC is opposite angle B, and side AB is opposite angle C. Therefore:
\(\dfrac{\sin A}{BC}=\dfrac{\sin B}{AC}=\dfrac{\sin C}{AB}\)
Substitute the values of the sides and angle A into the formula and solve for the remaining angles.
\(\dfrac{\sin 41^{\circ}}{5.12856682...}=\dfrac{\sin B}{3}=\dfrac{\sin C}{7}\)
Therefore:
\(\dfrac{\sin B}{3}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)
\(\sin B=\dfrac{3\sin 41^{\circ}}{5.12856682...}\)
\(B=\sin^{-1}\left(\dfrac{3\sin 41^{\circ}}{5.12856682...}\right)\)
\(B=22.5672442...^{\circ}\)
\(B=23^{\circ}\)
From the diagram, we can see that angle C is obtuse (it measures more than 90° but less than 180°). Therefore, we need to use sin(180° - C):
\(\dfrac{\sin (180^{\circ}-C)}{7}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)
\(\sin (180^{\circ}-C)=\dfrac{7\sin 41^{\circ}}{5.12856682...}\)
\(180^{\circ}-C=\sin^{-1}\left(\dfrac{7\sin 41^{\circ}}{5.12856682...}\right)\)
\(180^{\circ}-C=63.5672442...^{\circ}\)
\(C=180^{\circ}-63.5672442...^{\circ}\)
\(C=116.432755...^{\circ}\)
\(C=116^{\circ}\)
\(\hrulefill\)
Additional notes:
I have used the exact measure of side BC in my calculations for angles B and C. However, the results will be the same (when rounded to the nearest degree), if you use the rounded measure of BC in your angle calculations.
Terrance earns an average bi-weekly net pay of $1,896.00. Which compound inequality correctly shows the amount of money he can spend if his monthly budget for food is between 10% and 20%? (2 points)
$189.60 > f > $379.20
$189.60 < f < $379.20
$410.80 ≤ f ≤ $821.60
$410.80 ≥ f ≥ $821.60
Answer:
B. $189.60 < f < $379.20Step-by-step explanation:
Net pay = $1896.00
Amount can be spent on food:
10% of net pay < f < 20% of net pay0.1*$1896.00 < f < 0.2*$1896.00$189.60 < f < $379.20Correct choice is B
Find the value of x .. assume that segments that appear to be tangent are tangent .
We got x = 16.54 by using Pythagorean theorem .
What is the Pythagorean theorem in plain English?
According to Pythagoras's Theorem, the square of the hypotenuse side in a right-angled triangle is equal to the sum of the squares of the other two sides. Perpendicular, Base, and Hypotenuse are the names of this triangle's three sides.angle of semicircle is always be 90° .
18² = 7.1² + x²
324 = 50.41 + x²
x² = 324 - 50.41
= 273.59
x = √ 273.59
x = 16.54
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Write the formula for the circumference of a circle
Answer:
multiply the diameter of the circle with π (
Step-by-step explanation:
let f(x)=8x+5 and g(x)=9x-2. find the function.
f - g
(f - g) (x) =
find the domain.
\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)
Actually Welcome to the Concept of the Functions.
So here to get the (f-g) (x) , we do the subtraction of the two functions now,
==> 8x + 5 - (9x -2)
===> 8x + 5 -9x +2
===> 8x - 9x +7
==> -x + 7
hence the new function (f-g) (x) = 7 - x
and the domain is from (- infinite to + infinite)
\(domain = ( - \infty \: to \: \infty )\)
Julie bought a shirt for $35.00, a purse for $27.00 and a belt for $13.00. When the cashier rang up her total, she discovered everything was on sale for 30% off. What was Julie's total with the sale price?
Answer: 52.5
Step-by-step explanation:
35 dollars 30% off is $24.5, 27 dollars 30% off is $18.90, and 13 dollars 30% off is $9.10 so all together it equals 52.5.
find the surface area
The surface area of the given sphere is 764.15 square inches.
Given that, the sphere has diameter = 15.6 inches.
Here, radius = 15.6/2 = 7.8 inches
We know that, surface area of a sphere is 4πr².
Now, surface area = 4×3.14×7.8²
= 764.15 square inches
Therefore, the surface area of the given sphere is 764.15 square inches.
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Why do we choose 5% as a risk of making error and not 1%
In statistics, the risk of making an error is referred to as a significance level. A significance level represents the probability of making a Type I error, which occurs when a null hypothesis is rejected even though it is true.
The most common significance level used in statistical analyses is 0.05 or 5%. This means that there is a 5% chance of rejecting a true null hypothesis.
In general, the choice of significance level depends on the specific application and context of the statistical analysis.
The 5% significance level is commonly used in scientific research, particularly in the fields of medicine and psychology.
The choice of this level is based on a balance between the risk of making a Type I error and the risk of making a Type II error, which occurs when a null hypothesis is not rejected even though it is false.
A Type II error is often more serious than a Type I error since it may lead to incorrect conclusions about the relationship between variables or the effectiveness of a treatment or intervention.
A 5% significance level provides a reasonable balance between these two types of errors. However, in some situations, a higher or lower significance level may be more appropriate.
For example, in a clinical trial where the consequences of a Type II error are severe, a lower significance level may be used to reduce the risk of this type of error.
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will mark brainleist pls help
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
4 Which graph shows x and y in a proportional
relationship?
A y
35
30
25
20
15
10
5 5
0
0 1 2 3
4 5 6 7 8
B.
Helicopter
У
35
30
25
Height (meters)
20
15
10
5
0
0 1 2 3 4 5 6 7 1
Time (seconds)
C.
Tickets
y y
140
120
100
Cost (dollars)
80
60
10
20
0
0 1 2 3 4 5 6 7 8
Number of tickets
Pizzas
УГ
35
30
25
Cost (dollars)
20
15
10
5
0
0 1 2 3 4 5 6 7 x
Number of pizzas
Answer: I'm sorry, I dont really know but here are some notes to help you with this.
Step-by-step explanation: https://www.hopewell.k12.pa.us/Downloads/Representing%20Proportional%20Relationship%20-%20NOTES%20COMPLETE2.pdf
Use properties to simplify the algebraic expression of (4 + x) + 2
A. 4x + 2
B. 2 + (4 + x)
C. X+ 6
D. 6x
Answer:
A. 4x + 2
Step-by-step explanation:
it's simple you combine the number with the variable in this case x and you leave the 2 as it is so your result is 4x+2
Find the area of the triangle.
3 9
A
5
B
?] units²
The area of the triangle is 47.91 units²
How to find the area of the triangle?When all three sides of the triangle are known we can use Heron's formula. Consider the triangle ABC with sides a, b, and c has shown in the image.
Heron’s formula is:
Area =√s(s−a)(s−b)(s−c)
where,
a, b, c are the side length of the triangle
s is the semi-perimeter. s = (a+b+c)/2
In this case:
Using the knowledge of the radius of a circle. We can say:
a = BC = 3 + 9 = 12 units
b = AC = 5 + 3 = 8 units
c = AB = 5 + 9 = 14 units
s = (a+b+c)/2
s = (12+8+14)/2
s = 34/2
s = 17 units
Area = √s(s−a)(s−b)(s−c)
Area = √17(17−12)(17−8)(17−14)
Area = √17(5)(9)(3)
Area = √2295
Area = 47.91 units²
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The mass of a wood is 19.5061g. When it was dropped in a cylinder, it had initial water volume of 8.75cm^3, the total volume was 9.76cm3. What is the density of the piece of metal in g/cm3
The density of the wood weighing 19.5061 grams is approximately 19.313 g/cm².
What is the density in wood?Density is expressed mathematically as;
p = m / v
Where m is mass and v is volume.
Given the data in the question
Mass of wood m = 19.5061gInitial volume water in the cylinder = 8.75cm³Final volume of water in the cylinder = 9.76cm³Density of the wood = ?First, we determine the volume of the wood which is the change in the volume of volume in the cylinder.
Volume of the wood = Final volume of water - Initial volume water
Volume of the wood = 9.76cm³ - 8.75cm³
Volume of the wood = 1.01 cm³
Now, we determine the density of the wood.
p = m / v
p = 19.5061g / 1.01 cm³
p = 19.313 g/cm²
Therefore, the density of the wood is 19.313 g/cm².
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May someone help **both** of these problems?
**part A & B**
(A) Mr. Green did not freeze 2 loaves of sliced bread.
(B)number of sandwiches he makes using the bread but not freezing is \(\frac{20}{3}\)
What is a fraction?
A fraction is a mathematical unit used to express a portion of a total or a ratio of two values. It is written with a horizontal line separating the numerator from the denominator.
The total number of equally spaced components that make up the whole or the ratio is the denominator, whereas the number of parts that are taken into account is the numerator.
In several branches of mathematics, including arithmetic, algebra, geometry, and calculus, fractions are employed.
The number of loaves Mr. Green put in the freezer are:
\(\frac{3}{4} * 8 = 6\) loaves in the freezer.
The loves that are not in the freezer are:
\(8 - 6 = 2\)
Hence, Mr. Green did not freeze 2 loaves of sliced bread.
(B)
The number of loaves to make a sandwich is,
\(\frac{1}{6} *8=\frac{4}{3}\)
number of sandwiches he makes using the bread but not freezing is,
\(8-\frac{4}{3} =\frac{24-4}{3} \\=\frac{20}{3}\)
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( 5 m ^ 2 + 3 mn - 3 n ^2 ) - ( m ^ 2 - n ^2 )=
Options:
A- 4m ^ 2 + 2 n ^ 2
B- 4 m ^ 2 - 4 n ^ 2
C- 4 m ^ 2 + 3 mn - 2 n ^2
D-4 m ^ 2 + 3 mn - 4 n ^2
answer quick
The simplification of the algebraic expression gives:
(5m² + 3mn - 3n²) - (m² - n²) = 4m² + 3mn - 2n²
How to simply an algebraic expression?
An algebraic expression is an expression that is made up of variables and constants, along with algebraic operations like addition, subtraction, square root, etc.
(5m² + 3mn - 3n²) - (m² - n²) = 5m² + 3mn - 3n² - m² + n²
= 5m²- m² + 3mn - 3n²+ n²
= 4m² + 3mn - 2n²
Therefore, (5m² + 3mn - 3n²) - (m² - n²) simplifies to 4m² + 3mn - 2n²
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A bag contains 8 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).
A. 9
B. 4/3
C. 1/4
D. 3/4
Please select the best answer from the choices provided.
can someone help me with this ?
Step-by-step explanation:
-coefficent=1
-collect like terms /variables
-add numbbers (1+2)=3p
Answer:
1
Step-by-step explanation:
(p+q)(p-q)/(p+q)(p-q)=1
[It is an identity : a²-b²= (a+b)(a-b)]
Hope this will help:)
HELPPPP
I CANT GET THIS WRONG
Answer:
(-5, 4) The x value is -5, and the y value is 4.
Pls help me I really nee it pls pls pls pls
Which inequality is true if p = 3.4? A. 3p < 10.2 B. 13.6 ≤ 3.9p C. 5p > 17.1 D. 8.5 ≥ 2.5p
Answer:
D 8.5 ≥ 2.5p
Step-by-step explanation:
8th grade math, please help.
9514 1404 393
Answer:
282.74 units³
Step-by-step explanation:
Put the given dimensions in the volume formula and do the arithmetic.
V = πr²h
V = 3.14159(3²)(10) ≈ 282.74 . . . units³
What’s this? I’m stuck!
Answer:
68 degrees
Step-by-step explanation:
Y=56,
56+56=112
180-112=68
Hope this helps, if you have any other questions, feel free to ask me to explain more
Have a good day! :)