Therefore v = log(62) / log(17) is the solution for v, the unknown variable in the equation.
Define log(Logarithm).The logarithm is exponentiation's opposite function in mathematics. This indicates that the exponent to which b must be increased in order to obtain a number x is the logarithm of x to the base b. For example, since 1000 = 10³, the logarithm base 10 of 1000 is 3, or log₁₀ = 3.
What is a function?A function in mathematics is an expression, rule, or law that establishes the connection between an independent variable and a dependent variable (the dependent variable). Each element of X receives precisely one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
To solve this exponential equation, we can use the logarithms property that is log(a^b) = b*log(a).
Given the equation 17v = 62, we can take the logarithm base 17 of both sides:
log(17^v) = log(62)
v*log(17) = log(62)
Dividing both sides by log(17) gives us:
v = log(62) / log(17)
This is the solution for v, the unknown variable in the equation.
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The number of students who enroll in a psychology course is a Poisson random variable with mean 105. The professor in charge of the course has decided that if the number enrolling is 119 or more, the course will be taught in two sections, whereas if fewer than 119 students enroll, the students will be all taught together in a single section. What is the probability that the professor will have to teach two sections?
Answer:
The answer is "0.096".
Step-by-step explanation:
In this question, the X is a number of the students who enroll in a psycholog y course, follows a Poisson distribution with mean [tex]= \lambda= 105[/tex]
[tex]\therefore P(X=x)=\frac{e^{-105} 105^{x}}{x!},(x=0,1,2,3.....)\\\\\to p(teach\ two \ sections) = P(X \geq 119)\\\\=1-P(X<119)\\\\=1-\sum_{x=0}^{118}P(X=x)\\\\=1-\sum_{x=0}^{118}\frac{e^{-105} 105^{x}}{x!}\\\\=0.0956747863537\\\\=0.096\\[/tex]
y
∝
√
x
If
y
=
45
when
x
=
81
find,
x
when
y
=
100
Answer:
x = 400 when y = 100
Step-by-step explanation:
This is a question in relation to direct variation.
y ∝ [tex]\sqrt{x}[/tex]
y = k [tex]\sqrt{x}[/tex]
Given that, y = 45, x = 81. Then;
45 = k [tex]\sqrt{81}[/tex]
45 = 9k
k = [tex]\frac{45}{9}[/tex]
k = 5
Thus the relationship among the variables is;
y = 5 [tex]\sqrt{x}[/tex]
If y = 100, then;
100 = 5 [tex]\sqrt{x}[/tex]
[tex]\sqrt{x}[/tex] = [tex]\frac{100}{5}[/tex]
[tex]\sqrt{x}[/tex] = 20
x = [tex](20)^{2}[/tex]
x = 400
Therefore, x = 400 when y = 100.
Kemi is used division to write a fraction equivalent to 30/100. She tried to divide the numerator and denominator by 3. She got stuck what advice would u give her?
Answer: She can multiply the numerator and the denominator by the same number. For example, 30/100 × 2/2
So what you're doing multiplying the numerator & the denominator each by 2. 30 ×2 = 60 and 100 x 2 = 200, ending up with 60/200.
when reduced it would simplify back to 30/100.
You can do the same for each similar. Problem asking for an equivalent. Just multiply both the numerator and denominatorby the same number.
Step-by-step explanation:
Drag the tiles to the core boxes to complete the pairs . Determine the tone of each example
help me plz god bless
Is the set of rational expressions closed under subtraction? Explain
P(x) /q(x) - r(x)/s(x) =
The set of rational expressions are closed under subtraction because the subtraction will result to a rational expression
What is a rational expression?The ratio of two polynomials is a rational expression.
A rational expression can be expressed in the form p/q, where p and q are polynomials,
Closure property of rational expression
According to the closure property, a - b is also a rational number for any pair of two rational numbers, a and b. The outcome is a rational number. Therefore, under subtraction, the rational numbers are closed.
In the polynomial subtraction
= P(x) /q(x) - r(x)/s(x)
= (P(x) * s(x) - r(x) * q(x)) / (q(x) * r(x))) also a rational number
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For problems 1–4, solve the given system of equations using either substitution or elimination.
Answer:
1. -3, -2
2. 2, -7
3. 1, 2.5
4. infinitely many solutions
Answer:
1. (-3,-2)
2. (1, -7)
3. (1, 2.5)
4. No solution
Step-by-step explanation:
Number 1: Substitution
Plug y in to substitute and get
2x + (2x + 4) = -8
4x + 4 = -8
4x = -12
x = -3
Then plug into the y equation
y = 2(-3) + 4
y = -6 + 4
y = -2
(-3, -2)
Number 2: Elimination
Begin eliminating by crossing out same values
40x + 12y = -44
-2y = 14
Solve for y
-2y = 14
y = -7
Solve for x
40x + 12(-7) = -44
40x - 84 = -44
40x = 40
x = 1
(1, -7)
Number 3: Elimination
Add the two and get:
-3x + 2y = 2
6y = 15
Solve for y:
6y = 15
y = 5/2
Solve for x:
3x + 4(5/2) = 13
3x + 10 = 13
3x = 3
x = 1
(1, 2.5)
Number 4: Substitution
Solving for y to begin with:
4x - y = -3
-y = -3 - 4x
y = 3 + 4x
Then solve for y in the second system
-8x + 2y = 6
2y = 6 + 8x
y = 3 + 4x
Set equal to each other
3 + 4x = 4 + 4x
3 = 4
No solution
Suponga que el monto promedio de compras por cliente de una empresa es de $128.45 y una desviación de $18.26
Answer:
Asumiendo que la distribución de las compras sea normal, tenemos:
_
x = 128.45
σ = 18.26
a)
x = 100
Normalizamos:
.......... _
z = (x - x) / σ
z = (100 - 128.45) / 18.26
z = -28.45 / 18.26
z ≅ -1.56
Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 1.56 la probabilidad es de 0.4406 = 44.06%. Esta es P(-1.56 < z < 0) = P(0 < z < 1.56).
Como preguntan P(x > 100), tenemos que
P(x > 100) = 0.5 + P(-1.56 < z < 0) = 0.5 + 0.4406 = 0.9406
La probabilidad de que un cliente compre más de $100 es del 94.06%.
=======
b)
x = 150
Normalizamos:
.......... _
z = (x - x) / σ
z = (150 - 128.45) / 18.26
z = 21.55 / 18.26
z ≅ 1.18
Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 1.18 la probabilidad es de 0.3810 = 38.10%. Esta es P(0 < z < 1.18).
Como preguntan P(x > 150), tenemos que
P(x > 150) = 0.5 - P(0 < z < 1.18) = 0.5 - 0.3810 = 0.1190
La probabilidad de que un cliente compre más de $150 es del 11.90%.
=======
c)
x = 120
Normalizamos:
.......... _
z = (x - x) / σ
z = (120 - 128.45) / 18.26
z = -8.45 / 18.26
z ≅ -0.46
Buscando en la tabla de áreas bajo la curva normal tipificada (de 0 a z) obtenemos que para z = 0.46 la probabilidad es de 0.1772 = 17.72%. Esta es P(-0.46 < z < 0) = P(0 < z < 0.46).
Como preguntan P(x < 120), tenemos que
P(x < 120) = 0.5 - P(-0.46 < z < 0) = 0.5 - 0.1772 = 0.3228
RESPUESTA:
La probabilidad de que un cliente compre menos de $120 es del 32.28%
Find the measure of ∠ 1
The measure of ∠ 1 is 68.7°
What is linear pair angles?Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines. The sum of angles of a linear pair is always equal to 180°.
Given is a figure of angles showing the pair of linear angles.
Therefore, by the definition of linear pair angles,
∠ 1 + 111.3° = 180°
∠ 1 = 180° - 111.3°
∠ 1 = 68.7°
Hence, the measure of ∠ 1 is 68.7°
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Write a proportion to find out how many X a student needs to score on the test to get the given score.
Test worth 25 points; test score of 80%
Answer
He needs to get 20 points
Step-by-step explanation:
80% is 4/5. 4/5 of 25 is 20
Please help will give brainliest
Worth 13 points
The data shows the mini-golf course for nine people. 22, 35, 13, 15, 20, 12, 15, 18, 30 what is the IQR for the data?
A. 8
B. 12
C. 13
D. 15
Answer:
The answer is 12 (B)
I hope this helped!!!
Step-by-step explanation:
First Quartile Q1 = 14
Second Quartile Q2 = 18
Third Quartile Q3 = 26
Interquartile Range IQR = 12
Median = Q2 x˜ = 18
Minimum Min = 12
Maximum Max = 35
Range R = 23
You can use a calculator for this, just search it up! I can't include the link because then my answer would be reported, but just search up IQR calculator.
Find the distance between the points.
(-6,5),(-6,-3.5)
The distance is
Answer:
8.5
Step-by-step explanation:
there's a rule to get the distance between 2 points
√((1st x- 2nd x)²+(1st y- 2nd y)²)
√((-6-(-6))²+(5-(-3.5))²)
=√((-6+6))²+(5+3.5))²)
you can just type that on your calculator and you'll get the result
√((-6+6))²+(5+3.5))²)
=√((5+3.5))²)
= √((8.5))²)
the root goes away with the power (exponent)
so it equals 8.5
find the volume of the cylinder. use 3.14 for π. 5ft 10ft (10 is the radius) PLS HELP :(
Answer:
157[tex]ft^{3}[/tex]
Step-by-step explanation:
Volume = the area of the base times the height.
Area of a circle = [tex]\pi[/tex][tex]r^{2}[/tex]
a = [tex]\pi[/tex][tex](5^{2})[/tex] I am going to use 3.14 for [tex]\pi[/tex]
a = 3.14(25)
a = 15.7
Volume = 15.7 x 10 = 157
Answer:
785 ft२
Step-by-step explanation:
volume =3.13*5२*10
=3.14*25*10
=785 ft२
Evan wants to add a flower box at the edge of the garden.
The box is 16 inches long, 6 inches wide, and 8 inches
high.
He decides to paint the box. The flower box is open on the top and does not need to be painted. What is the minimum amount of paint he will need? Evan will need enough paint to cover ___in2 What is the maximum amount of soil he will need to fill the box? The maximum amount of soil is __in.3.
Answer:
Evan will need enough paint to cover
✔ 448 in.2.
What is the maximum amount of soil he will need to fill the box?
The maximum amount of soil is
✔ 768 in.3.
Step-by-step explanation:
I got it right on assignment, sorry for late answer
Evan will need enough paint to cover 448 in². The maximum amount of soil is 768 in³
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
The box is open at the top, hence:
Minimum amount of paint = surface area of box = (16 * 6) + 2(8 * 6) + 2(16 * 8) = 448 in²
Maximum amount of soil = 16 in * 6 in * 8 in = 768 in³
Evan will need enough paint to cover 448 in². The maximum amount of soil is 768 in³
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3 Dylan needs to buy new contact lenses. His ophthalmologist sells 8-lens boxes in
packs of 2 for $52 and 10-lens boxes in packs of 4 for $120. Which option is the
better deal?
Answer:
Dylan should purchase the 10-lens boxes in packs of 4 for $120, as this is the better deal. This option provides 40 lenses for $120, which works out to be $3 per lens. The 8-lens boxes in packs of 2 for $52 only provides 16 lenses for $52, which works out to be $3.25 per lens Therefore, the 10-lens boxes in packs of 4 is the better deal.
Step-by-step explanation:
Answer:
he should buy the 10-lens boxes in packs of 4 for $120
Step-by-step explanation:
Find the value of X. Round your answer to the nearest tenth... I just need the answer nothing more thx
Answer:
42.3°
Step-by-step explanation:
Use SOH-CAH-TOA (O=opposite, A=adjacent, H=hypotenuse) we see that they give us the angle missing, x, but we first need to identify what method to use. They give us the opposite side from the angle, and they also give us the adjacent side from the angle, so TOA=tan.
now plug it in, since there is no angle then we plug it in as [tex]tan^{-1}=\frac{10}{11}[/tex]
in the calculator, (be sure to be in degree mode)
x= 42.3°
(does that make sense)
Multiply me by 4. Then subtract 29 and you get 23. What is my number?
Answer:
13 is your number
Step-by-step explanation:
23 = -29 x 4x
add 29 to both sides
52 = 4x
divide both sides by 4
13 = x
Answer:
13
Step-by-step explanation:
13 x 4 = 52 - 29 = 23
Jim Clinnin purchased a used RV with 18,500 miles for $46,400. originally the RV sold for $67,500 with a residual value of $19,500. After subtracting the residual value, depreciation allowance per mile was $0.79. How much was Jim's purchase price over or below the book value?( input the amount as positive value.)
Answer:
Jim bought the used RV at a price of $ 6,485 under its book price.
Step-by-step explanation:
Given that Jim Clinnin purchased a used RV with 18,500 miles for $ 46,400, and originally the RV sold for $ 67,500 with a residual value of $ 19,500 and, after subtracting the residual value, depreciation allowance per mile was $ 0.79, to determine how much was Jim's purchase price over or below the book value the following calculation must be performed:
18,500 x 0.79 = 14615
67,500 - 14,615 = X
52.885 = X
52,885 - 46,400 = 6,485
Therefore, Jim bought the used RV at a price of $ 6,485 under its book price.
100 points!!!!
Angle θ is in standard position. If (8, -15) is on the terminal ray of angle θ, find the values of the trigonometric functions
. sin(θ) =
cos(θ) =
tan(θ) =
csc(θ) =
sec(θ) =
cot(θ) =
Answer:
I didn't unferstanf
Step-by-step explanation:
ok further of all I don't understand the question
✔ -15/17
cos(θ) =
✔ 8/17
tan(θ) =
✔ -15/8
csc(θ) =
✔ -17/15
sec(θ) =
✔ 17/8
cot(θ) =
✔ -8/15
Find the first five multiples of the number write a multiple equation to show their multiple
The first five multiples of 5 is 5, 10, 15, 20, 15 and the multiple equation is
5×1, 5×2, 5×3, 5×4, 5×5.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, Find the first five multiples of the number.
Let, The number be 5.
Therefore, The first five multiples of 5 is,
5, 10, 15, 20, 25.
And, the multiple equation is,
5×1, 5×2, 5×3, 5×4, 5×5.
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Q.
The surface area of a cube is
37.5 cm². What is the area of
each side of the cube?
The total surface area of the cube will be 37.5 cm²
What is the surface area of a cube?A three-dimensional shape's surface area is the sum of all of its faces. Finding the area of each face and adding them together gives us the surface area of a shape.Surface area analysis refers to the measurement of a particle's available surface. It is important because it is the means by which a solid interacts with its surroundings, whether they are gases, liquid, or other solids.Here the edge of the cube is given
Edge = 2.5 cm
We have to find out the total surface area of the cube
Total surface area of cube = 6a², where a is the edge of the cube
= 6 × 2.5 × 2.5
= 37.5 cm²
Hence, the total surface area of the cube will be 37.5 cm²
The complete question is,
Find the surface area of a cube of Edge 2.5 CM
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The wall paper Jeff wants to use comes in rolls that are 1 yard wide and 10 yards long. How many square feet of wall paper are in each roll?
Answer:
Each roll of wallpaper has an area of 90 square feet.
Step-by-step explanation:
In order to find the number of square feet of wallpaper in each roll, we first need to calculate the total area of the wallpaper in the roll. The area is the product of the length and width of the roll.
The width of each roll is 1 yard, and the length of each roll is 10 yards.
Area of the wallpaper = width x length = 1 yard x 10 yards = 10 square yards
Now we need to convert the area from square yards to square feet, as the area of wallpaper is usually measured in square feet.
1 yard = 3 feet
So we need to multiply the area in square yards by the conversion factor, which is 9.
10 square yards = 10 square yard * 9 = 90 square feet
Therefore, each roll of wallpaper has an area of 90 square feet.
It's important to note that while calculating, the units should be consistent i.e area of a length (yard) multiplied with a width(yard) will give the area in square yards, which we converted to square feet by considering the conversion factor of 1 yard = 3 feet.
A certain disease has an incidence rate of 0.2%. If the false negative rate is 4% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease.
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
Answer:
53 centimeters
Step-by-step explanation:
Answer: 53 centimeters
⭐️GIVING BRAINLIEST⭐️
((PLEASE HELP OR I WILL FAIL))
Determine the family net income, gross income, or amount paid in taxes for the following situations.
The Milano family's gross income for the year is $108,600. If their net income is $92,310 for the year, what
percent does the family pay in taxes and deductions annually?
Based on the family the graph below belongs to, which equation could represent the graph?
Answer:
fruit loops
Step-by-step explanation:
because i said FRUIT LOOPSSSSSSSSS
Solve 44>7+s+26. Graph the solution.
Answer:
44-31=13
so 13
Step-by-step explanation:
The fourth term of an arithmetic sequence is 20. The common difference is -1/5 times the first term. What is the first term? Graph the sequence.
As a result, the first term of the answer to the given arithmetic mean problem is 14.
What does arithmetic mean?The Arithmetic Mean or Average of the Group is the product of the sum of all the numbers in a group and the amount of items in that list, divided by both. The Geometric progression is also same as this .This average of the numbers 5, 7, and 9 is, for instance, 4, as 5 + 7 + 9 is 21, and 21 split by 3 [there really are three numbers] equals 7.
Here,
In this case, t(n) = (a + ((n — 1) * d)),
The value of the nth term is t(n),
The first term of the AS is a.
The position of a value in the A.S. is represented by the positive whole integer n, and
The constant common difference among A.S. words is d.
In light of the question, we can say:
11 = (5 + ((4 — 1) * d)),
Take 5 away from both sides.
11 — 5 = (5 + ((4 — 1) * d)) — 5,
On the RHS, the fives cancel one another out.
6 = 3d,
d = 2.
In summary, the common distinction is: 2.
=> 20 = a + 3d
=> 20 - 6
=> a =14
As a result, the first term of the answer to the given arithmetic mean problem is 14.
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20 points!!!! Which figure has only rotational symmetry?
Answer:
A
Step-by-step explanation:
The figure was turned 90 degrees
Which is MOST LIKELY to occur, based on the given probability?
If you cannot see, zoom in and I apologize for the blurriness.
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever gets the correct answer will get BRAINLIEST! :)
Answer:
Option D would be the correct answer
Hope this helps!