Probability helps us to know the chances of an event occurring. The estimated number of left-handed persons in the school is 89.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Given the number of girls is 320, the probability that a girl is left-handed is 0.2. Therefore, the number of girls who are left-handed is,
Number of left-handed girls = (320×0.2) = 64
Given the number of boys is 250, the probability that a boy is left-handed is 0.1. Therefore, the number of boys who are left-handed is,
Number of left-handed boys= (250×0.1) = 25
Hence, the estimated number of left-handed persons in the school is 89.
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For the functions f(x) and g(x), determine the domain of (f ∙ g)(x) (the product of f and g).
f(x)= 12/x, g(x)= -8x ^3
Answer: Domain: (-∞, 0) U (0, ∞)
Step-by-step explanation:
[tex]\frac{12}{x} *-8x^{3}[/tex]
[tex]=-96x^2[/tex]
Domain: (-∞, 0) U (0, ∞)
Write the sentence as an equation.
253 equals the product of 232 and k
Type a slash ( / ) if you want to use a division sign.
Answer:
253=232×k
Step-by-step explanation:
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It's very urgent plss answer
The solution of the equation 4p – [(2p – 3) / 2] = 6 with variable p will be 1.5.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
The equation is given below.
4p – [(2p – 3) / 2] = 6
On simplifying, we have
(8p – 2p + 3) / 2 = 6
6p + 3 = 12
6p = 9
p = 1.5
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if each interior angle of a regular polygon measures 180° how many sides does it have
Answer:
This is impossible.
Step-by-step explanation:
The interior angle of a regular polygon is equal to
[tex] \frac{180(n - 2)}{n} [/tex]
where n is the number of sides.
Setting this equal to 180°,
[tex] \frac{180(n - 2)}{n} = 180 \\ \\ \frac{n - 2}{n} = 1 \\ \\ n = n - 2 \\ \\ 0 = - 2[/tex]
which is false.
Multiply 3.4x and 1.2x.
Answer:
telmhtkhknrkh
Step-by-step explanation:
eg
Answer:
4.08x^2
Step-by-step explanation:
can someone please help mee
For the graphed function we can see:
domain = set of all real numbersrange = set of all real numbers.How to get the range and domain?For a function y = f(x), the domain is the set of the possible inputs "x" and the range is the set of the possible outputs "y".
In this case, we can see that in the right side we have a parabola, and on the left side a linear equation which increases up to the left (so it has a negative slope).
Then the domain will be the set of all real numbers.
Similar for the range, as we can see that on the left side, the line goes upwards, while on the right side, the parabola goes downwards. So this function has a range of all real numbers.
Then:
domain = set of all real numbers
range = set of all real numbers.
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3. The elevation of a hilltop is 250 feet above sea level. The
hill slopes gradually to a valley that is 100 feet below sea
level. The hilltop and the valley are 28,000 feet apart. What
is the average rate of change in elevation from the hilltop tot
the valley?
Answer:
0.00893 feet elevation per 1 foot distance.
Step-by-step explanation:
The hill reaches an elevation of 250 ft (above sea level) over the course of 28,000 feet. The average rate of change would be (250 ft)/(28,000 ft), or 0.00893 feet elevation/1 foot distance.
((0.00893 (feet up/foot distance))*(28,000 feet distance) = 250 feet up (elevation).
Select the correct answer. how might an architect use geometry in their work? to determine the best materials for a structure to decide how many electrical outlets to install to decide how much to charge for their design to design the floorplan of a structure
An architect uses geometry to charge for their design to design the floorplan of a sructure.
Architects use geometry to help them design buildings and structures. Mathematics can help architects express design images and to analyze as well as calculate possible structural problems.
The shapes and sizes used in the architect’s design are often possible due to mathematical principles.
An example of this would be the Pythagorean Theorem. Architects are required to know college level algebra, trigonometry, probability and statistics, linear programming, calculus I and calculus II. They are also required to obtain a professional degree, gather work experience in an internship setting and pass the Architect registration exam for licensing purposes.
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Answer:
to design the floorplan of a structure
Step-by-step explanation:
Geometry describes the properties and arrangement of shapes in space. Designing the floor plan of a structure would involve the arrangement of shapes in a defined space.
Solve for the value of x:-
7(x+2)=35
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \:x = 3 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: 7(x + 2) = 35[/tex]
[tex]\qquad \tt \rightarrow \: 7x + 14 = 35[/tex]
[tex]\qquad \tt \rightarrow \: 7x = 35 - 14[/tex]
[tex]\qquad \tt \rightarrow \: 7x = 21[/tex]
[tex]\qquad \tt \rightarrow \: x = \cfrac{21}{7} [/tex]
[tex]\qquad \tt \rightarrow \: x = 3[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Which ordered pair word form a proportional relationship with the point graph below
a. (10,10)
b. (25,35)
c. (70,50)
d. (90,60)
Answer:
D. (90, 60)
Step-by-step explanation:
A proportional relationship is a relationship in which the ratios of two variables are equivalent.
If we take two points on the graph such as (45, 30) and (30, 20), we can see that they can both be simplified to the ratio 3:2. Using this we can find the correct answer. From looking at all the points we can see that only (90,60) would also form a ratio of 3:2, thus d would be the correct answer.
Select the correct answer.
A petri dish contains cells of a certain strain of bacteria. Each bacterial cell in the dish divides in half approximately every 6 minutes. The curve of best fit that models the number of bacterial cells in the dish is given by the equation f(x) = 4.2 • 1.1x, where x represents the number of minutes and y represents the number of cells. Which value most likely represents the initial number of bacterial cells in the petri dish?
A.
10 cells
B.
5 cells
C.
2 cells
D.
1 cell
Answer:
the answer to that is B. 5 cells
Section B, Q5
please answer, it is urgent
Given the sequence in the table, which of the following represents the sum for term 5 through term 11 in sigma notation? (1 point)
a an
1 2
2 −10
3 50
Answer:
Given sequence in the table is a Geometric sequence and The sum for term 5 through term 11 in sigma notation is given by:
[tex]$\sum_{n=5} ^{\111} 2(-5)^n^-^1$[/tex]
Step-by-step explanation:
Geometric sequence - it is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio
here the given terms :
a1 = 2, a2 = -10, a3 = 50
you can see it is a geometric sequence as the ratio is constant [tex]\frac{a2}{a1}{=}\frac{a3}{a2}{=}{-5}[/tex]
now the nth term for geometric sequence :
[tex]a_{n} {=}{a}{r}^{n-1}[/tex]
here,
a = first term.r = common ratio of the given terms.n = number of terms in geometric sequence.now substituting the given values in the expression,
[tex]a_{n} {=}{2}{{(}-5}{)}^{n-1}[/tex]
we have to find the sum from term 5 to term 11,
therefore using sigma notation and putting n= 5 and n=11 at the below and above the sigma respectively,
[tex]$\sum_{n=5} ^{\111} 2(-5)^n^-^1$[/tex]
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2 inches tall on week 4 3 inches tall on week 6 4 inches tall on
week 8
The linear relation of the height as a function of the number of weeks is:
y = 0.5*x
How to find the linear relation?A general linear relation is written as:
y = a*x + b
Where a is the slope.
If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the slope is:
[tex]a = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
In this case, we have the points of the form (week, height).
(4, 2)
(6, 3)
(8, 4)
If we use any two of these we can get the slope, so using the first two:
a = (3 - 2)(6 - 4) = 1/2 = 0.5
y = 0.5*x + b
To get the value of b, we can use the first point, it says that when x = 4, we have y = 2, then:
2 = 0.5*4 + b
2 = 2 + b
0 = b
Then the linear relation of the height as a function of the number of weeks is:
y = 0.5*x
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please help!!!!!!!
picture below
Kylie is ordering 9 pizzas for her party. Each pizza is either thin crust or deep dish. Each thin crust pizza costs $20, and each deep dish pizza costs $8 more. If her total including 10% tax is $242, how many thin crust pizzas did she order?
A. 2
B. 3
C. 4
D. 5
E. 8
Answer:
the answer is A. 2 thin crust pizzas
Consider the steps for determining the quotient of ¹24 + x4
12
X-4
The quotient will be
expression.
Complete the statements to choose a numerator and denominator to represent the quotient.
The numerator of the simplified quotient is
The denominator of the simplified quotient is
The simplified form of the expression has a numerator (x + 9)(2x + 1) and the denominator (x + 7) and the expression doesn't exist at (x = 9).
How to illustrate the quotient?The given expression is:
= [(3x² - 27x)/(2x² + 13x - 7)]/(3x/4x² - 1)
Firstly, factorize the expression 4x² - 1.
4x² - 1 = (2x - 1)(2x + 1)
Then, factorize 2x² + 13x - 7.
2x² + 13x - 7 = 2x² + 14x - x - 7
2x(x + 7) - 1(x + 7)
= (2x - 1)(x + 7)
Then, factorize the equation 3x² - 27x.
3x² - 27x = 3x(x - 9)
The factorized terms will be substituted into the equation. This will be:
= [3x(x - 9)/(2x - 1)(x + 7)] / 3x[(2x - 1)(2x + 1)]
= (x + 9)(2x + 1)/(x + 7)
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how much is 20 Pepsi if one Pepsi is sold at the rate of 20 naira
Answer:
Let x= cost of 20 pepsi
so 1 Pepsi = 20 naira
20 = x
x= 20*20
x= 400 naira
Therefore the cost of 20 pepsi is 400 naira
What is the equation of a line that is parallel to the given line and passes through the point (-2,2)
The equation of the line will be y = [tex]\dfrac{1}{5}x + \dfrac{12}{5}[/tex]
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
First, we need to find the equation of the line that is given:
We can use the formula,
[tex]m = \dfrac{y_1 - y_2}{x_1-x_2}[/tex]
[tex]m=\dfrac{-3-(-4)}{0-(-5)}=\dfrac{1}{5}[/tex]
So the equation for this line is
y = (1/5) x - 3
This means that the equation for the line we are trying to find has a slope of as well
Let's put the points in the equation and try to find the y-intercept:
2 = [tex]\dfrac{1}{5}[/tex] ( -2 ) + b
[tex]\dfrac{15}{5} = b[/tex]
So the final equation for the line we are trying to find is y = [tex]\dfrac{1}{5}x + \dfrac{12}{5}[/tex]
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Which expression is a factor of this polynomial? x^3 + 2x^2 - 9x - 18
A (x+2)
B (x+1)
c (x-2)
d (x-6)
Answer:
(x+2)(x-3)(x+3) this is ans
Answer:
a. (x + 2)
Step-by-step explanation:
x^2(x + 2) - 9(x + 2)
(x + 2)(x^2 - 9)
(x + 2)(x - 3)(x + 3)
Therefore the answer is (x + 2)
Use the figure below to find the answer.
X
Find y.
y=
45
III
7
T
234567890
Answer: [tex]\frac{7\sqrt{2}}{2}[/tex]
Step-by-step explanation:
[tex]\sin 45^{\circ}=\frac{7}{y}\\\\\frac{1}{\sqrt{2}}=\frac{7}{y}\\\\y=\frac{7}{\sqrt{2}}=\boxed{\frac{7\sqrt{2}}{2}}[/tex]
City A and City B had two different temperatures on a particular day. On that day, four times the temperature of City A was 8° C more than 3 times the temperature of City B. The temperature of City A minus twice the temperature of City B was −3° C. What was the temperature of City A and City B on that day?
A) City A was 5: C. and City B was 4° C.
B) City À was 3° C, and City B was -1° C
C)City A was 8° C. and City 3 was -3° C.
D)City À was 5° C, and City 3 was -5° C.
Answer:
A) City A was 5°C and City B was 4°C
Step-by-step explanation:
let temperature of City A be x and City B be y
According to the conditions of the question
4x = 8 + 3y (first temperature)
x - 2y = -3 (second temperature)
x = -3 + 2y
4(x) = (-3 + 2y)×4
4x = -12 + 8y
But it's already given that 4x = 8 + 3y
So,
8 + 3y = -12 + 8y
8 + 12 = 8y - 3y
20 = 5y
y = 20/5
y = 4
That means City B temperature was 4°C
So Option A
If you want you can find x to find City A temperature
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Which of the following sets of ordered pairs below represent a function?
{(0,0),(1,10),(10,4),(-1,-7)}
{(0,0),(4,1),(4,10),(7,1)}
{(0,0),(10,-1),(4,-10),(10,-2)}
{(0,0),(0,1),(0,10),(0,-1)}
The ordered pair that represents a function is {(0,0),(1,10),(10,4),(-1,-7)}.
How to identify ordered pairs?A set of ordered pairs that defines a function will be the one that has exactly one y-value that assigned to every x-value. This means that none of its x-values can have two corresponding y-values.
All the sets of ordered pairs don't have exactly one y-value that corresponds to each of its x-value except {(0,0),(1,10),(10,4),(-1,-7)}.
Thus, we can say that the ordered pair that represents a function is {(0,0),(1,10),(10,4),(-1,-7)}.
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what is the square root of 799300
Answer:
894.035793467 or roughly 894
Step-by-step explanation:
I square rooted it by using a calculator, and by working it out on paper.
If 1 < a ⩽ x , then the minimum value of [tex] \rm log_{a}(x) + log_{x}(x) [/tex] is ?
PLEASE HELP!!!!
The minimum value of the expression log_a(x)+log_x(x) is 2 because the minimum value of each term is 1.
What is a logarithm?It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.
[tex]\rm a^b = c\\log_ac =b[/tex]
We have:
1 < a ≤ x
We have an expression:
[tex]\rm log_a(x)+log_x(x)[/tex]
We know,
[tex]\rm log_aa = 1[/tex]
[tex]\rm log_a(x)+1[/tex]
If a = x
Then, [tex]\rm log_a(x)=1[/tex]
We cannot find the function value less than 1 because it goes infinitely in a negative direction.
So the minimum value of the expression:
= 1 + 1
= 2
Thus, the minimum value of the expression log_a(x)+log_x(x) is 2 because the minimum value of each term is 1.
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Given circle D, calculate the measure of arc AC if AD=16 and BD=13.
Answer:
18.66
Step-by-step explanation:
Using the pythagorean theorem:
a^2 + b^2 = c^2
a^2 + 13^2 = 16^2
a^2 + 169 = 256
a^2 = 87
a = 9.33
Since we need to figure out length AC and not just AB, we can multiply our answer by 2:
9.33 x 2 = 18.66
Answer:
71.32°
Step-by-step explanation:
The measure of angle ADB can be found using the trig relation ...
Cos = Adjacent/Hypotenuse
__
cos(ADB) = DB/AD = 13/16
Using the inverse function, ...
∠ADB = arccos(13/16) ≈ 35.659°
Arc AC has the same measure as angle ADC, which is double the measure of angle ADB.
Arc AC = 2×35.659° = 71.318° ≈ 71.32°
The measure of arc AC is about 71.32°.
_____
Additional comment
The length of arc AC is the product of the radius and its radian measure:
length AC = (16)(71.32π/180) ≈ 19.92 . . . units
The branches of a tree diagram are weighted probabilities.
True
Or
False
Answer:
The correct answer is True
Answer:
True
Step-by-step explanation:
Each branch of a tree diagram is the likelihood of that outcome happening. You multiply as you go along the branch.
Use properties to rewrite the given equation. Which equations have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p? Select two options. 2.3p – 10.1 = 6.4p – 4 2.3p – 10.1 = 6.49p – 4 230p – 1010 = 650p – 400 – p 23p – 101 = 65p – 40 – p 2.3p – 14.1 = 6.4p – 4
Equation 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p has the same soltion as the provided equation option second and third are correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have an equation:
2.3p – 10.1 = 6.5p – 4 – 0.01p
Combine like terms:
2.3p – 10.1 = 6.49p – 4
Or in the equation 2.3p – 10.1 = 6.5p – 4 – 0.01p mulitply by 100 on both sides.
We get:
230p – 1010 = 650p – 400 – p
Thus, equation 2.3p – 10.1 = 6.49p – 4 and 230p – 1010 = 650p – 400 – p has the same soltion as the provided equation option second and third are correct.
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pls answerthanks for your help
