Let x = legs of right triangle.
The set up would be:
x^2 + x^2 = (hypotenuse)^2
Understand?
To find the legs of a right triangle with only the hypotenuse known, the Pythagorean theorem is used. Without extra information like an angle or one leg length, it's impossible to find the specific leg lengths due to the infinite possibilities of right triangle configurations with the same hypotenuse length.
The question involves finding the lengths of the legs of a right triangle when only the length of the hypotenuse is known. Utilizing the Pythagorean theorem, which states that in a right triangle the square of the hypotenuse (c) is equal to the sum of the squares of the other two sides (a and b), expressed as a² + b² = c². To find the lengths of the legs (a and b) given the hypotenuse (c), one needs additional information such as the angle of the triangle or the length of one of the legs.
Without such information, it is not possible to determine the specific lengths of the legs because there are infinitely many right triangles with different sets of leg lengths that could have the same hypotenuse length. Therefore, to address this problem, one might use trigonometry if any angle is known, or apply other relevant context or given data.
given that (-5,8)is on the graph of f(x) find the corresponding point for the function f(x)-2
I never came across a question like this one. Time to reason my way to the answer.
We know that f(x) = y.
In the point given, y = 8.
So, f(x) - 2 = y - 2 = 8 - 2 = 6.
The corresponding point should be (-5, 6).
A publisher claims that the average salary paid at its company is $37,500, but it could differ by as much as $4,500. Write an absolute value inequality to determine the range of salaries at this company.
|x − 37,500| ≤ 4,500
|x − 4,500| ≤ 37,500
|x − 37,500| ≥ 4,500
|x − 4,500| ≥ 37,500
Answer:
|x − 37,500| ≤ 4,500
Step-by-step explanation:
salary - 37,500 can be up +4500 or as negative -4500
as much as means less than or equal to
We use absolute values to indicate this
|x − 37,500| ≤ 4,500
Answer:
|x − 37,500| ≤ 4,500
Step-by-step explanation:
Let x represents the new salary paid (In dollars ),
∵ The actual salary = $ 37,500
∵ Maximum difference in salaries = $ 4500
Case 1 : If x > 0
⇒ x - 37500 ≤ 4500 -----(1)
Case 2 : If x < 0
⇒ 37500 - x ≤ 4500
⇒ -(x-37500) ≤ 4500 -----(2)
By combining inequalities (1) and (2),
| x - 37500 | ≤ 4500 ( ∵ |a| < b ⇒ -a < b or a < b )
Which is the absolute value inequality to determine the range of salaries at this company.
FIRST option is correct.
Solve Ax + By = −C for x.
x equals the quantity negative B times y minus C all over A
x equals the quantity negative B times y plus C all over A
x equals the quantity B times y plus C all over A
x equals the quantity B times y minus C all over A
Answer:
x equals the quantity negative B times y minus C all over A
Step-by-step explanation:
Subtract By and divide by A:
Ax + By = -C . . . . starting equation
Ax = -By -C . . . . . subtract By from both sides
x = (-By -C)/A . . . . divide both sides by A
Answer:
A
Step-by-step explanation:
A national study found that a car's value decreases by 15 percent annually. If the car was purchased for 66,000. How much will the car be worth in 10 years?
Answer:
$12,993.71
Step-by-step explanation:
The formula we want for this is exponential decay which is
[tex]A(t)=a(1-r)^t[/tex]
where A(t) is the value of the car after the depreciation, a is the initial value of the car, r is the interest rate at which it depreciates in decimal form, and t is the time in years. We have everything we need to fill in to solve for A(t):
[tex]A(t)=66,000(1-.15)^{10}[/tex]
We will do some simplifying first:
[tex]A(t)=66,000(.85)^{10}[/tex]
First raise .85 to the 10th power to get
A(t) = 66,000(.1968744043)
and then multiply to get
A(t) = $12,993.71
Answer:
$12,993.71
Step-by-step explanation:
First raise .85 to the 10th power to get
A(t) = 66,000(.1968744043)
and then multiply to get
A(t) = $12,993.71
please help asap will mark brainliest to
Answer:
ok so check it the answer is 9.5 my good sir
Answer:
9.5
Step-by-step explanation:
Since the question is to round 9.45 to the nearest tenth / one decimal place, we have to see if the hundredths is greater than or equal to 5 so we can add 1 to the tenths and since 5 in the hundredths column and is greater than or equal to 5 it becomes 9.5
The function arcsine can also be defined as A. csc(θ) B. sin-1(θ) C. sec(θ) D. 1/sin(θ)
Answer:
B
Step-by-step explanation:
arcsine is just sin -1 (theta) and can be entered in the calculator as such.
The function arcsine is represented as sin-1(θ). It is the inverse of the sine function, and it helps find the angle whose sine is a given value like 0.44. The arcsine function can be accessed using the sin-1 button on calculators, allowing for easy calculations.
The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located at (9, –8). What are the values of h and k? g(x) = (x - ??)^2 + ? Will mark as the Brainliest.
Answer:
h = 9 and k = -8
Step-by-step explanation:
What is the quotient? 7x^2-3x-9 divided by x-1
ANSWER[tex]q(x) = 7x + 4[/tex]
EXPLANATION
We want to find the quotient when [tex]7{x}^{2}-3x-9[/tex] is divided by x-1
We can quickly perform a synthetic division.
We write out the coefficients of the polynomial
[tex]7{x}^{2}-3x-9[/tex]
7 -3 -9
1| 7 4
7 4 -5
To obtain the top row.When we equate the divisor to zero, we get;[tex]x - 1 = 0[/tex][tex]\implies\:x=1[/tex]
This gives the 1 in the far left.The first two numbers in the last row are the coefficients of the quotient. The last number in the last row is the remainder.Therefore the quotient is [tex]7x + 4[/tex] and the remainder is -5
Remember this polynomial can be written as:
Dividend= Divisor * Quotient + Remainder
[tex]7x^2-3x-9=(x-1)(7x+4)-5[/tex]
Therefore Quotient=7x+4
Identify the reflection of the figure with vertices H(17,34), I(−5,10), and J(28,−14) across the line y=x.
Answer:
B
Step-by-step explanation:
Under a reflection in y = x
a point (x, y) → (y, x)
Given
H(17, 34 ) → H'(34, 17)
I(- 5, 10) → I'(10, - 5)
J(28, - 14) → J'(- 14, 28)
B represents the image coordinates of H, I, J
For the given figure with vertices H(17,34), I(-5,10), and J(28,-14) across the line y=x, the reflection will appear at H(34,17), I(10,-5), J(28,-14). This is because at y=x the reflection will have the coordinates with interchanged values.
Reflection at y=x:Across y=x, the reflection will have interchanged coordinates.
that is (x, y) → (y, x)
For the given vertices across the line y=x,
H(17,34) → H'(34,17)
I(-5,10) → I'(10,-5)
J(28,-14) → J'(-14,28)
So, option (2) is correct that is H(34,17), I(10,-5), J(-14,28) which undergoes reflection across y=x.
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*will give brainlist* PLEASE ANSWER ASAP
what is the value of x?
Answer:
I don't know for sure but is 69 an option? is so that might be it
Answer:
x = 58
Step-by-step explanation:
Given an angle outside a circle formed by a tangent and a secant then
angle = [tex]\frac{1}{2}[/tex] difference of the measures of the intercepted arcs, that is
51 = [tex]\frac{1}{2}[/tex] (160 - x) ← multiply both sides by 2
160 - x = 102 ( subtract 160 from both sides )
- x = - 58 ( multiply both sides by - 1 )
x = 58
The average person drinks 16 ounces of milk a day. At this rate, how many gallons will a person drink in a leap year?
bearing in mind a leap year has 366 days, with February 29th.
[tex]\bf \begin{array}{ccll} ounces&days\\ \cline{1-2} 16&1\\ x&366 \end{array}\implies \cfrac{16}{x}=\cfrac{1}{366}\implies 5856=x[/tex]
that many ounces, how many gallons(US) is that?
well, there are 128 oz in 1 gallon(US), so in 5856 oz there are 5856 ÷ 128 = 45.75 gallons(US).
58.56 gallons of milk,a person will drink in a leap year.
What is leap year?
A Leap Year has 366 days (the extra day is the 29th of February).
How to know if it is a Leap Year:
Leap Years are any year that can be exactly divided by 4 (such as 2016, 2020, 2024, etc)
except if it can be exactly divided by 400, then it is (such as 2000, 2400)
How many galllons will a person drink in a leap year?
We have given,
Average person drinks 16 ounces of milk in 1 day.
We have to find milk consume by average person in 366 days in gallons.
We know, 1 ounce (oz)=0.01 gallons
So, 16 ounce = 16×0.01 gallons
=0.16 gallons
We can say milk consume in one day = 0.16 gallons
Therefore,milk consume in 366 days(in gallons)=366×milk consume in 1 day.
=366×0.16
=58.56 gallons.
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Determine there relationship
Answer:
Parallel
Step-by-step explanation:
Note for any function h(x) = mx + b
m = slope of the function
in this case, both functions have the same slope of [tex]\frac{3}{5}[/tex]
Hence the functions must parallel
1. Maryann is tracking the change in her vertical jump over 6 months. Use the table to write a linear function that models her jump distance.
Month Vertical Jump in inches
0 16
2 17
4 18
6 19
A.f of x equals one half times x plus 16
B.f of x equals one half times x plus 19
C.f(x) = 2x + 16
D.f(x) = 2x + 19
2. What is the equation of a line that contains the points (5, 0) and (5, −2)?
A.x = 5
B.x = 0
C.y = 0
D.y = 5
3. Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).
A.4x − y = −6
B.x + 4y = 7
C.x − 4y = −9
D.4x + y = 2
4Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario.
A. The number of rides is the independent variable, and the total cost is the dependent variable.
B. The total cost is the independent variable, and the number of rides is the dependent variable.
C. The number of rides and the total cost are both independent variables.
D. The number of rides and the total cost are both dependent variables.
Answer:
Part 1) Option A. f of x equals one half times x plus 16
Part 2) Option A. x = 5
Part 3) Option C. x − 4y = −9
Part 4) Option A. The number of rides is the independent variable, and the total cost is the dependent variable.
Step-by-step explanation:
Part 1)
Let
x -----> the number of months
y ----> vertical jump in inches
step 1
Find the slope
we have the points
(0,16) and (2,17)
[tex]m=(17-16)/(2-0)=\frac{1}{2}[/tex]
The equation of the line in slope intercept form is
[tex]y=mx+b[/tex]
we have
[tex]m=\frac{1}{2}[/tex]
[tex]b=16[/tex] -----> the point (0,16) is the y-intercept
substitute
[tex]y=\frac{1}{2}x+16[/tex]
convert to function notation
f(x)=y
[tex]f(x)=\frac{1}{2}x+16[/tex]
Part 2) What is the equation of a line that contains the points (5, 0) and (5, −2)?
step 1
Find the slope
we have the points
(5, 0) and (5, −2)
[tex]m=(-2-0)/(5-5)=\frac{-2}{0}[/tex]
the slope is undefined
This is a vertical line (parallel to the y-axis)
therefore
The equation is
x=5
Part 3) Choose the equation that represents a line that passes through points (−1, 2) and (3, 1)
step 1
Find the slope
we have the points
(−1, 2) and (3, 1)
[tex]m=(1-2)/(3+1)=-\frac{1}{4}[/tex]
step 2
Find the equation of the line into point slope form
[tex]y-y1=m(x-x1)[/tex]
we have
[tex]m=-\frac{1}{4}[/tex]
[tex]point\ (3, 1)[/tex]
substitute
[tex]y-1=-\frac{1}{4}(x-5)[/tex]
Convert to standard form
Multiply by 4 both sides to remove the fraction
[tex]4y-4=-(x-5)[/tex]
[tex]4y-4=-x+5[/tex]
[tex]x-4y=-4-5[/tex]
[tex]x-4y=-9[/tex]
Part 4) Jewels has $6.75 to ride the ferry around Connecticut. It will cost her $0.45 every time she rides. Identify the dependent variable and independent variable in this scenario
we know that
The independent variable is the variable whose change isn’t affected by any other variable (An example the age and time)
The dependent variable it’s what changes as a result of the changes to the independent variable (An example of a dependent variable is how tall you are at different ages. The dependent variable (height) depends on the independent variable (age))
Let
x ----> the number of rides
y ----> the total cost in dollars
In this problem
The independent variable or input is the number of rides
The dependent variable or output is the total cost
The correct linear function for Maryann's vertical jump is f(x) = ½x + 16. The equation of the line containing points (5, 0) and (5, −2) is x = 5. For the line through points (−1, 2) and (3, 1), the correct equation is 4x − y = −6, and in Jewels' scenario, the number of ferry rides is the independent variable, and the total cost is the dependent variable.
To write a linear function that models Maryann's vertical jump over 6 months, we need to determine the slope (rate of change) and the y-intercept (starting value). Given the increments of 1 inch over every 2 months, we can calculate the slope as 1 inch per 2 months or 0.5 (one half) inches per month. The starting value when the time (month) is 0 is 16 inches. Hence, the linear function is f(x) = ½x + 16, which corresponds to option A.The equation of a line that contains the points (5, 0) and (5, −2) is vertical because both points have the same x-coordinate. A vertical line's equation is x = some constant value, which in this case is x = 5, corresponding to option A.To find the equation that represents a line passing through points (−1, 2) and (3, 1), we can use the two-point formula or slope-intercept form, but by checking the given options, we see that option A fits the points: 4x − y = −6.In the scenario of Jewels riding the ferry, the independent variable is the number of rides she takes, and the dependent variable is the total cost, which depends on the number of rides taken. This corresponds to option A.A map uses a scale of 1 in. : 25 mi. If the distance between two cities on the map is 3.5 inches, what've is the actual distance between the cities
Answer:
if the distance in the map is 3.5 inches the actual distance is 87.5 miles
Dorothy has a mysterious $?$ button on her calculator. When she types in an integer and hits the $?$ button, if the input is odd, the calculator outputs $1$ less than triple the input. if the input is even but not divisible by $4$, the calculator outputs $1$ more than half the number. if the input is divisible by $4$, the calculator outputs one-fourth of the input. Dorothy typed in an integer, hit the $?$ button, and saw an output of $13$. What are all possible integers Dorothy may have input?
Answer:
{52}
Step-by-step explanation:
The calculator function appears to be ...
f(x) = {3x -1, x odd; x/2 +1, x not divisible by 4; x/4, x divisible by 4}
The inverse of the first function is ...
x = 3y -1
(x+1)/3 = y . . . . (y must be odd)
For x = 13, this is 14/3, which is not an integer.
__
The inverse of the second function is ...
x = y/2+1
2(x-1) = y . . . . (y must not be divisible by 4)
For x = 13, this is 2·12 = 24, which is divisible by 4, so 24 is not the input value.
__
The inverse of the third function is ...
x = y/4
4x = y . . . . (y must be, and is, divisible by 4)
For x = 13, this is 4·13 = 52.
The only possible input value for an output of 13 is 52.
What is the value of x?
Answer:
B
Step-by-step explanation:the other corner is 75 so that leaves the other corner to be 50. 75+55+50=180
Hello There!
Other corner to be 50. 75+55+50=180
Your friend gives you a simple regression fit for predicting house prices from square feet. the estimated intercept is –44850 and the estimated slope is 280.76. you believe that your housing market behaves very similarly, but houses are measured in square meters. to make predictions for inputs in square meters, what slope must you use? (there are 0.092903 square meters in 1 square foot).
Answer:
3022.08 . . . dollars per square meter
Step-by-step explanation:
The slope is multiplied by the factor that changes units:
(280.76 dollars/ft²)×(1 ft²)/(.092303 m²) ≈ 3022.08 dollars/m²
To make predictions for house prices in square meters, you would have to multiply the given slope of 280.76 by the conversion factor of 1/0.092903, which will give an estimated slope of approximately 3017.9
Explanation:The problem here is related to the conversion of units from square feet to square meters. Your friend gives you a simple regression fit for predicting house prices from square feet with an estimated intercept of -44850 and the estimated slope is 280.76.
Given that there are 0.092903 square meters in 1 square foot, a square foot equals to 1/0.092903 square meters. When you are making a prediction based on square meters rather than square feet, you need to consider this factor. This means the new slope would be calculated by multiplying the old slope with this conversion factor as:
Slope for prediction in square meters = Old slope * (1/0.092903) = 280.76 / 0.092903 = 3017.9 approximately.
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Write the expression as a single logarithm.
[tex]\bf \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ 3\log_b(q)+6\log_b(v)\implies \log_b(q^3)+\log_b(v^6)\implies \log_b(q^3v^6)[/tex]
The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco's weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet's advice. The equation of the scenario is . The values of p must be
Final answer:
Explanation on solving the equation p = 55 - 0.5w to find Rocco's weight after w weeks.
Explanation:
Solving the Equation:
Since Rocco lost half a pound per week, the equation would be: p = 55 - 0.5w, where p is Rocco's weight in pounds and w is the number of weeks.
Substitute the value for the first week: p = 55 - 0.5(1) = 55 - 0.5 = 54.5 pounds.
Therefore, Rocco's weight after w weeks would be p = 55 - 0.5w.
Answer:
The equation of the scenario is
✔ p = 55 – 0.5w
.
The values of p must be
✔ any real number 45 to 55
Step-by-step explanation:
What is the approximate volume of a can that is 5 inches tall and has a 2.5 inch diameter?
Answer:
24.5 cubic inches
Step-by-step explanation:
The formula for the volume of a cylinder is ...
V = πr²h
A can with a diameter of 2.5 inches has a radius of 1.25 inches. Filling in the given values, the volume is ...
V = π(1.25²)(5) = 7.8125π ≈ 24.54 . . . . cubic inches
The approximate volume is 24.5 cubic inches.
The volume of a cylinder is 24.54 inches³
What is Volume of cylinder?The volume of a cylinder is equal to the product of the area of the circular base and the height of the cylinder. The volume of a cylinder is measured in cubic units.
We know that the volume of cylinder is
V = πr²h
Given that:
diameter = 2.5 inches
radius = 1.25 inches.
Height= 5 inches
V = π(1.25²)(5)
= 7.8125π
≈ 24.54 inches³
Hence, the volume of cylinder is 24.54 inches³
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a
10ft tree casts a 14 ft shadow .if a building cast a 280ft tall shadow how tall is the building
PLEASE HELP ME WITH THIS QUESTION ITS URGENT ITS ABOUT COMPLETING A EQUATION
Answer:
(x - 2)² + (y +8)² = 49
Step-by-step explanation:
Points to remember
Equation of a circle passing through the point (x₁, y₁) and radius r is given by
(x - x₁)² + (y - y₁)² = r ²
To find the radius
It is given that, center of circle = (-5, -8) and passes through the point (2 -8)
By using distance formula,
r = √[(2 --5)² + (-8 --8)²]
= √7²
r = 7
To find the equation of the circle
Here (x₁, y₁) = (2, -8)
Equation of circle is,
(x - x₁)² + (y - y₁)² = r ²
(x - 2)² + (y - (-8))² = 7²
(x - 2)² + (y +8)² = 49
Answer:
The equation of circle is [tex](x+5)^2+(y+8)^2=49[/tex].
Step-by-step explanation:
The standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex] .... (1)
where, (h,k) is the center of the circle and r is the radius.
It is given that the center of the circle is (-5,-8). it means h=-5 and k=-8.
The circle passes through the point (2,-8). So, the radius of the circle is the distance between point (-5,-8) and (2,-8).
[tex]r=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]r=\sqrt{(2-(-5))^2+(-8-(-8))^2}[/tex]
[tex]r=\sqrt{7^2+0}[/tex]
[tex]r=7[/tex]
Substitute h=-5, k=8 and r=7 in equation (1), to find the equation of circle.
[tex](x-(-5))^2+(y-(08))^2=(7)^2[/tex]
[tex](x+5)^2+(y+8)^2=49[/tex]
Therefore the equation of circle is [tex](x+5)^2+(y+8)^2=49[/tex].
The top and bottom of the polyhedron below are equilateral triangles. A plane that perpendicularly bisects corresponding sides of both triangles would form two sets of two consecutive interior dihedral angles with measures of _______ and _________ .
Answer:
30° and 90°
Step-by-step explanation:
The perpendicular bisector of an equilateral triangle forms a 90° angle with one side and a 30° angle with the other side.
An electrician charges a service call fee of $60 plus $55 per hour. Another electrician charges a service call fee of $20 plus $65 per hour. Set up and solve an equation to determine the number of hours, h, for which the cost would be the same for hiring both electricians.
Final answer:
By setting up an equation where the total costs for both electricians are equal and solving for h, we find that the number of hours for which the costs are the same is 4 hours.
Explanation:
To determine the number of hours, h, for which the cost would be the same for hiring both electricians, we set up an equation where both cost expressions are equal. The equation, which expresses the total cost for each electrician's services, is:
First electrician: Cost = $60 + $55h
Second electrician: Cost = $20 + $65h
We now equate the two expressions and solve for h:
$60 + $55h = $20 + $65h
$55h - $65h = $20 - $60
-$10h = -$40
Divide each side by -10: h = 4
Thus, the number of hours for which the costs are the same is 4 hours.
Final answer:
The number of hours for which both electricians would charge the same is 4 hours. We find this by setting up an equation based on their fees and hourly rates, solving this equation yields the result of 4 hours.
Explanation:
To determine the number of hours, h, for which the cost would be the same for hiring both electricians, we can set up an equation based on their charges. The first electrician charges a service call fee of $60 and $55 per hour. Therefore, the cost for the first electrician, C1, can be expressed as:
C1 = 60 + 55h
The second electrician charges a service call fee of $20 plus $65 per hour, which means the cost for the second electrician, C2, is:
C2 = 20 + 65h
To find when the costs are the same (C1 = C2), we set the two expressions equal to each other:
60 + 55h = 20 + 65h
Now we solve for h:
60 + 55h = 20 + 65h
55h - 65h = 20 - 60
-10h = -40
h = 4
The costs are the same when the electricians work for 4 hours.
Which equation is equivalent to square root x^2+81 =x+10
Answer:
x² +81 = x² +20x +100
Step-by-step explanation:
Square both sides of the original equation:
(√(x² +81))² = (x +10)²
x² +81 = x² +20x +100
BRAINLIEST!!!! writ the following equation in standard form.state wether the graph of the equation is a parabola,circle,ellipse or hyperbola.
x^2+4y^2+2x-24y+33=0
Answer:
x² + 4y²+ 2x - 24y + 33 = 0
= (x+1)² + 4(y-3)² - 1 - 36 + 33 = 0
= (x+1)² + 4(y-3)² = 4
= (x + 1)²/2² + (y - 3)²/1² = 1
This is an Ellipse: C(-1,3)
The Standard Form of an Equation of an Ellipse is : (x - h)²/a²/ (y - k)²/b² = 1
where Pt(h,k) is the center. (a variable positioned to correspond with major axis)
a and b are the respective vertices distances from center
and√a² - b²are the foci distances from center: a > b
The definition of an angle uses the undefined term ________.
Answer: point
Step-by-step explanation:
The histogram shows a city’s daily high temperatures recorded for four weeks.
Which phrase describes the shape of the temperature data?
symmetrical
left-skewed
right-skewed
normal
Answer:
Step-by-step explanation:
The answer is b. left skewed
Left-skewed describes the shape of the temperature data.
left-skewed distribution
A distribution exists skewed if one of its tails is longer than the other. The first distribution shown includes a positive skew. This suggests that it has a long tail in the positive direction. The distribution below it has a negative skew since it includes a long tail in the negative direction.
In statistics, left-skewed simply represents a distribution where the value is concentrated on the right side of the distribution graph.In this case, the shape of the temperature data stands left-skewed as the left tail of the distribution graph exists longer.In this distribution, the majority of the data is to the right of the graph. The "tail" of the distribution is to the left. This defines a left-skewed distribution.
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Consider this number in scientific notation.
3.75 × 10^8
Which is true about writing the number in standard form? Check all that apply.
Move the decimal point eight places to the left.
This will convert to a very large number.
Move the decimal point ten places to the right.
This will convert to a very small number.
This is the same as the product of 3.75 and 100,000,000.
Answer:
This will convert to a very large numberThis is the same as the product of 3.75 and 100,000,000Step-by-step explanation:
[tex]3.75\times 10^8=3.75\times 100,000,000=375,000,000.[/tex]
The decimal point is moved 8 places to the right. The number is "very large" in relation to most folks' personal experience with counting things, but is "very small" in relation to quantities and sizes in the known universe.
Answer:
This will convert to a very large number.
This is the same as the product of 3.75 and 100,000,000.
Step-by-step explanation:
scientific notation.
[tex]3.75 \cdot 10^8[/tex]
To get the standard form we multiply the decimal number by 10^8
When we multiply by 10^8, move the decimal 8 places the right
This will convert to a very large number
[tex]10^8 = 100,000,000[/tex]
[tex]3.75 \cdot 100000000[/tex]
This is the same as the product of 3.75 and 100,000,000.
RST is circumscribed about circle A
Answer:
ST, RS, and RT
Step-by-step explanation:
A line is tangent to a circle if it intersects it at only one point.
ST, RS, and RT are all tangent to circle A.
AP intersects the circle at two points when extended.
XT intersects the circle at two points as well.
Answer:
A. [tex]\overline{ST}[/tex]
B. [tex]\overline{RS}[/tex]
D. [tex]\overline{RT}[/tex]
Step-by-step explanation:
We have been given that triangle RST is circumscribed about circle A. We are asked to choose that tangent of our given circle fro the provided choices.
We know that tangent of circle is a straight line that touches the circle exactly at one point. This point is known as point of tangency.
Upon looking at our given diagram, we can see that line segment RX touches circle A exactly at one point that is X. Line segment SX touches circle A exactly at one point that is X, therefore, line segment RS is tangent to our given circle.
Similarly, line segments SQ and TQ touch circle A exactly at one point that is Q, therefore, line segment ST is tangent to our given circle.
We can see that line segments RP and TP touch circle A exactly at one point that is P, therefore, line segment ST is tangent to our given circle.
AP is radius of circle, therefore, AP is not a tangent for our given circle.
If we draw a line joining points XT, it will intersect circle at two points, therefore, XT is not a tangent for our given circle.