Answer:
0.15 or 15%
Step-by-step explanation:
Since lengths are uniformly distributed, the probability that a class period runs between a two exact times is:
[tex]P(x_1\leq x \leq x_2)=\frac{x_2-x_1}{b-a}[/tex]
In this case, a = 47.0 and b = 52.0 minutes.
The probability that a given class period runs between 50.25 and 51.0 minutes is:
[tex]P(50.25\leq x \leq 51.0)=\frac{51.0-50.25}{52-47} \\P(50.25\leq x \leq 51.0)=0.15=15\%[/tex]
The probability is 0.15 or 15%.
Working out simultaneous equations.
Answer:
x = 6/5
y = 8/5
Step-by-step explanation:
3x - y = 2
2x + y = 4
Add the equations, cancelling y.
5x = 6
x = 6/5
Put x as 6/5 in the second equation and solve for y.
2(6/5) + y = 4
12/5 + y = 4
y = 4 - 12/5
y = 8/5
What is the solution of 3+ x-2/x-3<_4
Answer:
x≤2−√6 or 0<x≤2+√6
Please help! Rhombus LMNO is shown with its diagonals. The length of LN is 30 centimeters. What is the length of LP? A.) 14 B.) 15 C.) 20 D.) 30
Answer:
B
Step-by-step explanation:
Since the diagonals of a rhombus bisect each other, that means P is the midpoint of LN. Therefore, LP = 1/2 * LN = 1/2 * 30 = 15.
The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness. It takes 198198198 seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of -418−418minus, 418 meters. The highest place possible is the summit of Mount Everest which has an altitude of 884888488848 meters. It takes 209209209 seconds to boil a perfect egg there. T(a)T(a)T, left parenthesis, a, right parenthesis models the time (in seconds) it takes to boil a perfect egg at an altitude of aaa meters. Which number type is more appropriate for the domain of TTT?
Answer:
The domain is -418 < a < 8848 where a is an integer.
Step-by-step explanation:
We see from the data given that the domain of T(a) takes both positive and negative integer values ( 8848 meters and -418 meters); T(a) never gets decimal values (and in real life thy won't be of much use because we are not looking for that much accuracy).
So the appropriate number type for the domain of T(a) would be integers. And if you are interested, the domain is -418 < a < 8848.
y is directly proportional to x when y=30, x=6 a) work out an equation connecting y and x b) work out the value when x=12
Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
a) Standard equation of direct proportion:
y = kx
We need to find k. We can use the given values of x and y to find k.
x = 6; y = 30
30 = k * 6
k = 30/6 = 5
Now we use k = 5 in the standard equation to get this problem's direct proportion equation.
y = 5x
b)
x = 12
y = 5x
y = 5 (12)
y = 60
What is the area of the triangle shown below?
Answer:
given,
base= 10
height= 8
now, area of triangle =
[tex] \frac{1}{2} \times b \times h[/tex]
or, area =
[tex] \frac{1}{2} \times 10 \times 8[/tex]
therefore the area of a triangle is 40 sq units.
hope its helpful..
Answer:
A, 40 sq.units
Step-by-step explanation:
Area of Triangle: 1/2·b·h
Substitute: h= 8, b= 10
A = 1/2 (10)(8)
Simplify: A = 1/2(80) = 40
Area= 40 sq. units
Write a two-column proof. Given: Triangle ACD is isosceles; <1 is congruent to <3 Prove: Segment AB || Segment CD
Answer:
AB ║ CD, reason If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel
Step-by-step explanation:
Statement, Reason
Triangle ACD is isosceles, Given
∠1 ≅ ∠3, Given
∠3 ≅ ∠4, Base angles of isosceles triangle
∠1 ≅ ∠4, Substitution
∠1 and ∠4, are alt int. ∠s, Definition
AB ║ CD, Have congruent alternate interior angles
If two lines (AB and CD) and a transversal AD, form alternate interior angles, (∠1 and ∠4) that are congruent, then the two lines are parallel
The two-column proof that shows that Segment AB║Segment CD is shown in the image attached below (See attachment).
Given the image showing an isosceles triangle, ΔACD.
The two-column proof that shows segment AB || Segment CD has been provided in the table shown in the image attached below.
We know already that:
ΔACD is isosceles
∠1 ≅ ∠3
∠3 and ∠4 base angles of the isosceles triangle, therefore, ∠3 ≅ ∠4.
By substitution, ∠1 ≅ ∠4
∠1 and ∠4 are alternate interior angles, therefore, based on the Converse of Alternate Interior Angles Theorem: AB║CD
The complete two-column proof is in the image attached below.
Learn more about Alternate Interior Angles Theorem on:
https://brainly.com/question/19486848
Please help!! Maths question I don't understand!
Answer:
see explanation
Step-by-step explanation:
The statements tells us that w is inversely proportional to v and the equation relating them is
v = [tex]\frac{k}{w}[/tex] ← k is the constant of proportion
To find k use the condition v = 9, w = 5, that is
9 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )
45 = k
v = [tex]\frac{45}{w}[/tex] ← equation of proportion
When w = 4 , then
v = [tex]\frac{45}{4}[/tex] = 11.25
I really need help, someone please help me
Answer:
18.84 meters.
Step-by-step explanation:
The formula for a circle is πr^2.
πr^2 = 28.26
3.14 * r^2 = 28.26
r^2 = 9
r = plus or minus 3.
But since this deals with the area of a circle, there is no way a radius can be negative. So, the radius is 3 meters.
The formula for the circumference is 2πr.
2 * 3.14 * 3 = 6 * 3.14 = 18.84.
So, the circumference of the circle is 18.84 meters.
Hope this helps!
Find the sum of the first 50 terms of the sequence below. Please Help!
Answer:
in 1st sequence put 1 instead of n
i.e
a1=3×1+2
=3+2
=5
Step-by-step explanation:
now do all the 50 terms by placing 1 to 50 instead of n
Un agricultor tiene 140 metros de malla para instalar una cerca en su huerta de hortalizas y esa tiene forma de rectangulo a) encuentra una función que modele el área de la huerta que pueda cercar b)¿Para que valor de la longitud del largo, el area es Maxima?
Tenemos que sean x e y los lados de la huerta entonces el perímetro sería:
P = 2*x + 2*y
Sabemos que el perimetro es 140, reemplazando:
140 = 2*x + 2*y
x + y = 70
despejamos y, nos queda:
y = 70 - x
Ahora tenemos que el área sería:
A = x*y
reemplazamos y:
A = x*(70 - x)
A = 70*x - x^2
Esta sería la ecuación que modela el área de la huerta.
Derivamos e igualamos a 0:
0 = 70 - 2*x
x = 70/2
x = 35
ahora calculamos y:
y = 70 - 35
y = 35
El área máxima sería:
A = 35*35
A = 1225 m^2
someone help asap math 10
Answer:
Required angle measures 39°
Step-by-step explanation:
Let's say, x measures the angle between the hypotenuse and the common base of two triangles.
Sin(x) = 5/8
x = 39°
This angle is complementary to the angle other than theta (let's say y) in the required triangle.
90 - x = y and 90 - theta = y
>>> Theta = x
Best Regards!
Elena’s aunt bought her a $150 savings bond when she was born. When Elena is 20 years old, the bond will have earned 105% in interest. How much will the bond be worth when Elena is 20 years old?
The correct answer is $307.5
Explanation:
The total of the bond after 20 years is $150 plus the interests during this time (105% of $150). This last value can be calculated by multiplying the percentage (105) by the total ($150) and dividing it into 100% (total percent represented by $150. The process is shown below:
[tex]150 = 100[/tex]%
[tex]x = 105[/tex]%
[tex]x = \frac{150 x 105}{100}[/tex]
[tex]x = 157.5[/tex]
This means the total money in interest is $157.5 and this added to $150 is equivalent to $307.5
Which relation is a function of x?
Answer: The bottom option, the graph.
Step-by-step explanation:
A relation is something that gets input from a set, called domain (usually the x) and "transforms" them into an output, from a set called the range.
Now, a relation is only a function if, for all the elements x in the domain, each one of them has only one element y in the range associated to it.
For example, in the first set we can see that the value x = 1 appears two times, it is related to different values in the range, then this is not a function.
The second relation is not a function.
the third relation is:
x = 3*y^2 - 7
This is a function, but in this relation x is the output and y the input, so this is a function of y.
In the fourth relation we can see a graph, this is a function (each value in the domain is related to only one in the range), and in the horizontal axis we can see a x, so this is a function of x.
Answer:
D
Step-by-step explanation:
I need help with this question!
Answer:
A = 0 -7 b= 0 -7
3 2d 3 2d
Let's calculate A and B:
A= 0*2d- 3*(-7) = -3*(-7) = 21B= 0.2d- 3*(-7) = -3*(-7) = 21Calculte (AB)^(-1):
(AB)^(-1) = (21*21)^(-1) = (21²)^(-1) = 21^(-2)Calculte B^(-1) and A^(-1):
B^(-1) * A^(-1) = 21^(-1) * 21^(-1)= 21^(-1-1) = 21^(-2)so:
(AB)^(-1) = B^(-1) * A^(-1)
the sum of the first 6 terms of a geometric series is 15624 and the common ratio is 5. what is the first term of the series?
Answer:
first term a=4
Step-by-step explanation:
Sum of the first 6 terms S6 = 15624
common ratio r= 5
n= 6
first term a=?
Formula: S6= a(r^n-1)/r-1
15624 = a( 5^6-1)/5-1
15624 = a(15625-1)/4
15624= a( 15624)÷4
15624= 15624a÷4
Cross multiply
15624×4 = 15624a
62496 = 15624a
divide both sides by 15624
62496÷15624 = 15624a÷15624
4 = a
a= 4
factorize:
(1 - a^2) (1 - b^2) + 4ab
Answer:
(ab+a-b+1)(ab-a+b+1)
Step-by-step explanation:
(1 - a²) (1 - b²) + 4ab= 1 -a²-b² +a²b² +4ab = (a²b² +2ab +1 )- (a²-2ab+b²)= (ab+1)² - (a-b)²= (ab+1 +a-b)(ab+1 -a+b)= (ab+a-b+1)(ab-a+b+1)
Which situations would be represented with a positive number? Check all that apply.
The temperature outside is 34°F.
The Dead Sea is 1,349 feet below sea level.
Nicole lost 2 pounds last month.
Sebastian owes his friend $4
A football team gains 11 yards on a play.
Long Island Sound is at sea level.
Answer:
A and e
Step-by-step explanation:
i need help can you answer this
Answer:
Hey there!
6(7-4n)
42-24n
-24n+42
Hope this helps :)
Answer:
42-24n
Step-by-step explanation:
(7-4n)6
42-24n
-24n+42
Hope this helps ;) ❤❤❤
What are the excluded values?
Answer:
y = 0
z = 5
Step-by-step explanation:
Since you cannot have a zero in the denominator (divide by 0 or undefined error), you have to exclude values that can turn the bottom into a zero. If you plug in 0 for y, you would get an error, and if you plugged in z for 5, you would get another error because you would be multiplying 0 in the denominator, so those 2 values must be excluded.
What is the circumference of a circular swimming pool with a diameter of 6 ½ feet? ______________ ft. (use for pi) A. 6 3/7 B. 71 1/2 C. 9 9/14 D. 20 3/7
Answer:
The answer is option D
Step-by-step explanation:
Circumference of a circle is πd
where d is the diameter
From the question
d = 6½ feet = 13/2 feet
Circumference is
π × 13/2
= 22/7 × 13/2
= 143/7
[tex] = 20 \frac{3}{7} [/tex]
Hope this helps you
Answer:
d
Step-by-step explanation:
/its wat he sed
which function has a constant additive rate of change of –1/4? A coordinate plane with a straight line with a negative slope. The line passes through (negative 2, 2) and (2, 1). A coordinate plane with a curved line passing through (negative 1, 2), (0, negative 1), the minimum (2, negative 2), and (4, negative 1). A two column table with five rows. The first column, x, has the entries, 20, 21, 22, 23. The second column, y, has the entries negative 1, negative 1.5, negative 2, negative 2.5. A two column table with five rows. The first column, x, has the entries, negative 12, negative 11, negative 10, negative 9. The second column, y, has the entries, 7, 11, 14, 17.
Answer:
A
Step-by-step explanation:
edge 2020
The function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.
What is the rate of change?It is defined as the change in values of a dependent variable with respect to the independent variables.
As we know,
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the first graph:
The line goes through the points:
(-2, 2) and (2, 1)
y - 1 = (1-2)/(2+2)[x -2]
y - 1 = (-1/4)[x -2]
y = -x/4 + 1/2 + 1
y = -x/4 + 3/2
The constant additive rate of change = -1/4
Thus, the function shown in graph (A) has a constant additive rate of change is -1/4 option (A) is correct.
Learn more about the rate of change here:
brainly.com/question/12786410
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What is the equation of the following line written in slope-intercept form? Oy=-3/2x-9/2
Oy=-2/3x+9/2
Oy=3/2x-9/2
Answer:
y = -3/2x-9/2
Step-by-step explanation:
We have two points ( -3,0) and (-1,3)
The slope is
m = (y2-y1)/(x2-x1)
= (-3-0)/(-1- -3)
= (-3-0)/(-1+3)
= -3/2
Using slope intercept form
y = mx+b where m is the slope and b is the y intercept
y =-3/2x+b
Using the point (-3,0)
0 = -3/2(-3) +b
0 = 9/2+b
b = -9/2
y = -3/2x-9/2
What is the area of a circle whose diameter is 64
Answer:
A ≈ 3215.36
Step-by-step explanation:
A = πr²
Radius - D/2
Radius - 64/2 → 32
A = 3.14(32)²
A = 3215.36
Hope this helps! :)
Answer:
3215.36 um²
Step-by-step explanation:
d = 2r => r = d/2 = 64/2 = 32 um
A = π·r²
= 3.14·32²
= 3.14·1024
≈ 3215.36 um²
8x – 2 – 5x + 7 = one solution
━━━━━━━☆☆━━━━━━━
▹ Answer
3x + 5
▹ Step-by-Step Explanation
8x - 2 - 5x + 7
= 3x - 2 + 7
= 3x + 5
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer: For the equation to have one solution, use any number that does not contain 3x.
Step-by-step explanation:
8x - 2 - 5x + 7
Combine like terms
3x + 5
Can someone help me please
A basketball team practices their shooting. The function f(x) represents the number of baskets made during practice, where x is the number of players at the practice. Does a possible solution of (12, 36) make sense for this function? Explain your answer.
A.Yes. The input and output are both possible.
B.No. The input is not possible.
C.No. The output is not possible.
D.No. Neither the input nor output is possible.
Answer:
B.No. The input is not possible.
Step-by-step explanation:
According to the given scenario, as we know that f(x) indicates that the baskets number and x the number of players at the practice.
Therefore, if we are having the point (12, 36) we can conclude that during practice there were 36 baskets and 12 players.
Hence, it does not make any sense which results that input is not possible
ayuda porfavor :b lo nesesito para hoy por fa
Answer:
a) x = 10
Step-by-step explanation:
En este romboide, el angulo A es igual a el angulo C, y el angulo ABC es igual a el angulo CDA.
Entonces, el angulo C es 7x.
En un triangulo, los angulos se suman para ser 180 degrados. En el triangulo BCE, hay un angulo recto.
7x + 2x + 90 = 180
7x + 2x = 90
9x = 90
x = 10
Espero que este te ayude!
Hour many hours are in 7 days?
Answer: 168 hours
Step-by-step explanation:
There are 24 hours in a day. Thus, simply multiply 7*24 to get 168.
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------------
Answer: There are 168 hours in 7 days.
Since there 24 hours in a day, Multiply 24 times 7 and you get 168.
Example : 24 x 7 = 168.
The y-intercept of the graph of a line is located at (0, –2). The line also passes through the point (5, 1).
Answer:
y - 1 = (3/5)x
Step-by-step explanation:
First find the slope of this line. As we move from (0, -2) to (5, 1), x (the 'run') increases by 5 and y (the 'rise') increases by 3. Thus, the slope of this line is m = rise / run = 3/5.
Using the point-slope formula for the equation of a straight line:
y - 1 = (3/5)(x - 5), or
y - 1 = (3/5)x This can also be written as 5y - 5 = 3x, or
y = (3/5)x + 1