Answer:
ok so if we add this up we get that there is 14 kids in the class who have been polled and 2/14 or 1/7 likes hamlet so the chance is 1 out of 7
The experimental probability that the next student to respond likes Hamlet best is [tex]\frac{1}{6}[/tex] .
Concept:Probability = [tex]\frac{Favourable \ Outcomes }{Total \ Outcomes}[/tex]To find total outcomes, we will add all the students.To find the favorable outcomes, we will count the number of students that likes hamlet.How to solve the given question?Probability = [tex]\frac{Favourable \ Outcomes }{Total \ Outcomes}[/tex]Total Outcomes = 2 + 8 + 2 = 12Favorable outcomes = 2∴ [tex]P(E) = \frac{Favourable \ Outcomes }{Total \ Outcomes} = \frac{2}{12} =\frac{1}{6}[/tex]Thus, the experimental probability that the next student to respond likes Hamlet best is [tex]\frac{1}{6}[/tex] .
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The function f(x) = 4x + 8 represents the distance traveled by a herd of elephants in miles. The function g(x) = x − 1 represents the time the herd traveled in hours. Solve f divided by g of 4, and interpret the answer.
Answer:
[tex](f/g)(4)=8[/tex]
Interpretation: 4 elephants traveled at a speed of 8 miles per hour
Step-by-step explanation:
Given
[tex]f(x) = 4x + 8[/tex]
[tex]g(x) = x -1[/tex]
Required
[tex](f/g)(4)[/tex]
This is calculated as:
[tex](f/g)(4)=\frac{f(4)}{g(4)}[/tex]
We have:
[tex]f(x) = 4x + 8[/tex]
[tex]f(4) = 4 * 4 + 8 =24[/tex]
[tex]g(x) = x -1[/tex]
[tex]g(4) = 4 - 1 = 3[/tex]
So:
[tex](f/g)(4)=\frac{f(4)}{g(4)}[/tex]
[tex](f/g)(4)=\frac{24}{3}[/tex]
[tex](f/g)(4)=8[/tex]
Answer:
Answer:C) 8; The elephants’ rate in miles per hour
Step-by-step explanation:
First write the question as an equation that can be solved to give you a numerical answer.
[f(4)=4(4)+8] / [g(4)=(4)-1]
Then solve the equation.
24/3=8
Finally use background information to give you the context.
Since the problem gives you the function for distance and the function for time then it can be concluded that the context will be the elephants’ rate in miles per hour
Step-by-step explanation:
please help me with this maths equation .
Answer:
2 words
Step-by-step explanation:
Scalene (D)
Obtuse-angled (E)
ETECSORI
ANICTUUOSO
ATOALNN
NIDLROA
ERNLVITA
T
IATRO
ULINOOTAPP
ASEMLP
Answer:
what-
Step-by-step explanation:
6x - 5y = 70
7x + 2y = 66
Answer:
(10,-2) x=10 y=-2
Step-by-step explanation: I used substitution
Given the equation f(x)=2x^2-14x+10, find g(x), the image of f(x) after a ry=x (reflection over the line y=x). Express your answer as a single fraction.
Given:
The function is:
[tex]f(x)=2x^2-14x+10[/tex]
The function g(x), the image of f(x) after a [tex]r_{y=x}[/tex] (reflection over the line y=x).
To find:
The function g(x).
Solution:
We have,
[tex]f(x)=2x^2-14x+10[/tex]
Substitute [tex]f(x)=y[/tex] in the given function.
[tex]y=2x^2-14x+10[/tex]
The function g(x), the image of f(x) after a [tex]r_{y=x}[/tex] (reflection over the line y=x). So, interchange x and y.
[tex]x=2y^2-14y+10[/tex]
Now, we need to find the value of y.
[tex]x=2(y^2-7y+5)[/tex]
[tex]\dfrac{x}{2}=y^2-7y+5[/tex] [Divide both sides by 2]
[tex]\dfrac{x}{2}-5=y^2-7y[/tex] [Subtract 5 from both sides]
Add both sides half of square of coefficient of y, i.e. [tex](\dfrac{-7}{2})^2[/tex], to make it perfect square.
[tex]\dfrac{x}{2}-5+(\dfrac{-7}{2})^2=y^2-7y+(\dfrac{-7}{2})^2[/tex]
[tex]\dfrac{x}{2}-5+\dfrac{49}{4}=y^2-7y+(\dfrac{7}{2})^2[/tex]
[tex]\dfrac{x}{2}-5+\dfrac{49}{4}=\left(y-\dfrac{7}{2}\right)^2[/tex] [tex][\because (a-b)^2=a^2-2ab+b^2][/tex]
[tex]\dfrac{x}{2}+\dfrac{49-20}{4}=\left(y-\dfrac{7}{2}\right)^2[/tex]
Taking square root on both sides, we get
[tex]\pm\sqrt{\dfrac{x}{2}+\dfrac{29}{4}}=y-\dfrac{7}{2}[/tex]
[tex]\dfrac{7}{2}\pm\sqrt{\dfrac{2x+29}{4}}=y[/tex]
[tex]\dfrac{7}{2}\pm\dfrac{\sqrt{2x+29}}{2}=y[/tex]
[tex]\dfrac{7\pm \sqrt{2x+29}}{2}=y[/tex]
Substituting [tex]y=g(x)[/tex], we get
[tex]\dfrac{7\pm \sqrt{2x+29}}{2}=g(x)[/tex]
Therefore, the required function is [tex]g(x)=\dfrac{7\pm \sqrt{2x+29}}{2}[/tex].
What is the surface area of this cone?
A) 161pi ft^2
B) 49pi ft^2
C) 112pi ft^2
D) 125pi ft^2
Answer:
I think it's C. cause I multipled 16 by 7
The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answer:
x=57°
Step-by-step explanation:
the sum of the measures of the angles of a triangle add up to 180°.
it is given that there is a 33°, and a right angle which is 90°.
to find x:
x=180°-(90°+33°)
x=180°-123°
x=57°
Answer:
180° - 33° - 90° = 57°
x = 57°
I Need Help please can I borrow your time
[tex]\longrightarrow{\blue{ C. \: 2 {x}^{2} + 4x - 30 = 0 }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{6}{x} = \frac{2x + 4}{5} [/tex]
[tex] \: 6 \times 5 = x \: (2x + 4)[/tex]
➺ [tex] \: 30 = 2 {x}^{2} + 4x[/tex]
➺ [tex] \: 2 {x}^{2} + 4x - 30 = 0[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
the length of rope P is three times the length of rope Q. After 10cm of rope is cut from rope P and rope Q respectively, the length of rope P is four times the length of Q. Calculate the original length, in cm, of rope P before it is cut.
Answer:
150 cm
Step-by-step explanation:
The information in the question includes;
The length of rope P = 3 × The length of rope Q
The length of rope P - 10 cm = 4 × (The length of rope Q - 10 cm)
Let p represent the original length of rope P and let q represent the original length of rope Q, we have;
p = 3·q...(1)
p - 10 = 4·(q - 10)...(2)
Expanding equation (2) gives;
p - 10 = 4·q - 40
∴ p = 4·q - 40 + 10 = 4·q - 50
p = 4·q - 50...(3)
Equating the values of p in equation (1) and equation (3) gives;
p = 3·q, and p = 4·q - 50, therefore, by the substitution property of equality, we have;
3·q = 4·q - 50
50 = 4·q - 3·q = q
q = 50
p = 3·q
∴ p = 3 × 50 = 150
The original length of P before it was cut, p = 150 cm.
Complete the function for this graph.
Answer:
y = |x - (-2)| -3
Step-by-step explanation:
Find the value of x if 4(6x - 9.5) = 46. Show your work!
[tex] \huge \mathrm{ \underline{Ànswér : }}[/tex]
let's solve for " x "
[tex]➢ \: \: 4(6x - 9.5) = 46[/tex]
[tex]➢ \: \: 6x - 9.5 = \dfrac{46}{4} [/tex]
[tex]➢ \: \: 6x - 9.5 = 11.5[/tex]
[tex]➢ \: \: 6x = 11.5 + 9.5[/tex]
[tex]➢ \: \: 6x = 21[/tex]
[tex]➢ \: \: x = \dfrac{21}{6} [/tex]
[tex]➢ \: \: x = 3.5[/tex]
[tex] \mathrm{✌TeeNForeveR✌}[/tex]
What is the sum of the fractions? Use the number line to help find the answer.|
+
5
Answer:
-4/5
Step-by-step explanation:
If you use the number line, after adding 3/5 you can see that it still doesn't make it positive but brings it up to -4/5 (Hope this helps)
Answer:
You subtract them:
3/5-7/5 (the plus disappears when faced with a minus)
-4/5
Is it polynomial? In case of a polynomial, write its degree: t^2-1/2t+root 5
Answer:
Step-by-step explanation:
An algebraic expression with non.zero coefficients and variables having non-negative integers as exponents is called a polynomial.
Yes, It is a polynomial. The highest power of the variable is the degree of the polynomial.
So, Degree = 2
Let A and B be two independent events. If p(A)=3/5 and p(B')=1/3 then the value of p(AUB)' is equal to?
Answer:
P(AUB)'=2/15
Step-by-step explanation:
According to the Question,
Given That, A and B be two independent events. If P(A)=3/5 and P(B')=1/3.So, P(B)=1-P(B') ⇒ P(B)=1-(1/3) ⇔ P(B)=2/3
The Product Rule of Probability says For independent events P(A∩B)=P(A)×P(B)P(A∩B)=3/5 × 2/3 ⇒ P(A∩B)=2/5
We know, P(AUB)=P(A)+P(B)-P(A∩B)Thus, P(AUB)= 3/5 + 2/3 - 2/5
P(AUB)=1/5 + 2/3
P(AUB)=(3+10)/15 ⇔P(AUB)=13/15
Now, The Value Of P(AUB)'=1-P(AUB) ⇔ 1 - 13/15 ⇒ P(AUB)'=2/15solve the missing side in the right triangle below
Answer: the root of 145 so b
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Use the Pythagorean theorem:
a^2 + b^2 = c^2
9^2 + 8^2 = c^2
81 + 64 = c^2
144 = c^2
[tex]\sqrt{144}[/tex] = c
Remember, C is always the hypotenuse, or the longest side. A and B can be either base.
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a ____________of the given expression.
[tex] \huge\boxed{\mathfrak{Answer}}[/tex]
=> Factor.
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a factor of the given expression.
[tex] \sf \: It's \: called \: a \: \boxed{\underline{\bf \: factor}}[/tex]
When an algebraic expression can be written as the product of two or more expressions, then each of these expressions is called a [tex]\boxed{\underline{\bf \: factor}}[/tex]of the given expression.
Does anyone know the answer ?!??!
Answer:
1/15
Step-by-step explanation:
Step 1 find probability of pulling 1 pink marble
Like stated previously probability = # of favorable outcomes / # of possible outcomes
The favorable outcomes is what we want to happen
We want to pull a pink marble and there are a total of 3 pink marbles
So # of favorable outcomes = 3
To find the # of possible outcomes we simply find the number of marbles. There are a total of ten marbles
So probability of pulling one pink marble = 3/10
Step 2 find the probability of pulling another pink marble ( IMPORTANT NOTE: It says to find the probability of pulling 2 pink marbles if the first one is NOT put back before the second pull. this meaning that we must subtract 1 from the total # of marbles and 1 from the total # of pink marbles )
3 - 1 = 2
10 - 1 = 9
So after the first pull there would be 2 pink marbles out of 9 total marbles
So the probability of pulling a pink marble on the second pull is 2/9
Finally we multiply the two probabilities together to find our answer
3/10 * 2/9 = 1/15
A timer is started as a ball is dropped from a certain height and its velocity measured. After 0 seconds, the ball is falling at 0 feet per second. After 2 seconds, the ball is falling at 64 feet. After 3 seconds, the ball is traveling at 96 feet and after 4 second the ball is traveling 128. Is this a proportional relationship?
Answer:
yes
because the descent of the ball is 32m per second
Step-by-step explanation:
To determine if the relationship is proportional, determine the descent of the ball per second
after 2 seconds = 64 / 2 = 32
after3 seconds = 96/3 = 32
after 4 seconds = 128 / 4 = 32
the relationship is proportional
No files just type it in
Answer:
ok kdkdkddkkdkdkkfkffk
Answer:
37
Explanation:
3 + 3 + 3 + 3 + 3 + 3 + 3 + 4 + 4 + 4 + 4
if my answer did help mark me as brainlist :D
Put these numbers in order from least to greatest.
1 1/8, 0.7, and 1.4
Answer:
1.4, 1 1/8, 0.7
Step-by-step explanation:
1 1/8 is equal to 1.125 which it makes it less than 1.4 but more than 0.7.
Answer:
[tex]0.7, \frac{11}{8},1.4[/tex]
Step-by-step explanation:
In order to understand what numbers are greater and what numbers are smaller, we need to make them have the same common denominator. So firstly, we turn all of these numbers into fractions, and we get...
[tex]0.7 = \frac{7}{10}\\\\1.4 = \frac{14}{10}\\\\\frac{11}{8 }= \frac{11}{8 }[/tex]
Now we, need to find the least possible number divisible by 10 and 8, to find the least common denominator. And we get, that the least common denominator is 40, and knowing this, now we have to take each fraction and turn it into an equivalent fraction with the denominator of 40. So we do...
[tex]\frac{11}{8}= \frac{(11)(5)}{(8)(5)}= \frac{55}{40}\\\\\frac{7}{10} = \frac{(7)(4)}{(10)(4)} = \frac{28}{40} \\\\\frac{14}{10} = \frac{(14)(4)}{(10)(4)} = \frac{56}{40}[/tex]
Now we can put these fractions in order from least to greatest...
[tex]\frac{28}{40} < \frac{55}{40}<\frac{56}{40}[/tex]
Therefore, we know that...
[tex]0.7 < \frac{11}{8} < 1.4[/tex]
in the equation above c is a constantly . if n =5 , what is the value of c ?
Answer:
D
Step-by-step explanation:
Given
5 - [tex]\sqrt{c+5}[/tex] = 1 ( subtract 5 from both sides )
- [tex]\sqrt{c+5}[/tex] = - 4 ( multiply both sides by - 1 )
[tex]\sqrt{c+5}[/tex] = 4 ( square both sides )
c + 5 = 4² = 16 ( subtract 5 from both sides )
c = 11
The value of c is 11 when n = 5.To find the value of c in the equation [tex]n - \sqrt(c + 5) = 1[/tex] when n = 5, you can simply substitute n with 5 and then solve for c.
Given equation: [tex]n - \sqrt(c + 5) = 1[/tex]
Now, replace n with 5:
[tex]5 - \sqrt(c + 5) = 1[/tex]
Next, isolate the square root term by moving the constant term to the other side:
[tex]sqrt(c + 5) = 5 - 1\\sqrt(c + 5) = 4\\[/tex]
Now, square both sides of the equation to eliminate the square root:
[tex](c + 5) = 4^2\\c + 5 = 16[/tex]
Finally, isolate c:
c = 16 - 5
c = 11
So, the value of c is 11 when n = 5.
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6. Find the slope of the line that passes through the following 2
points. Use the slope formula.
(-2, 4) (2, 4)
Answer:
You would do the change in y over the change in x.
That means you subtract your y values and that's the numerator. Subtract your x values and that is your denominator. Then simplify.
(4 - 4)
______
(-2 - 2)
Step-by-step explanation:
Answer: y=4
Step-by-step explanation:
4 is the y-intercept. The slope is 0
Helppp me please asapppp
Answer:
y=-2/7x-2
Step-by-step explanation:
Just move the 2x to the other side, then divide both sides by 7.
120 to 150 find the percentage of increase
Answer:
25%
Step-by-step explanation:
increase by = 150 - 120
=30
increase percent = 30/120 * 100%
=3000/120
=25 %
Answer:
25%
Step-by-step explanation:
Percentage increase=(new value-original value)/(original value) x 100%
Percentage increase=(150-120)/120 x 100%
Percentage increase=30/120 x 100%
Percentage increase=1/4 x 100%
Percentage increase=25%
what are important of mountain ?
Answer:
hlw its jess
your answer is here
Mountains are particularly important for their biodiversity, water, clean air, research, cultural diversity, leisure, landscape and spiritual values.Step-by-step explanation:
hope it may help you
mark as brainlist please
What is the volume, in cubic feet, of a rectangular prism with a height of 2 feet, a
width of 10 feet, and a length of 17 feet?
Answer: 340
Step-by-step explanation: It would follow the basic volume formula w*l*h so filling in the values gets us (10)*(17)*(2) and multiplying them out gets us 340.
Em 2016 o brasil vendeu para o exterior cerca de 3,5 milhoes de ingressos para espectadores estrangeiros sabendo total de ingressos vendidos é de 7,9 milhoes a quantia de ingressos vendida para a população brasileira foi de? a) 4.050.000 B) 4.400.000 C) 5.000.000 D) 5.500.000
Responder:
4.400.000
Explicação passo a passo:
A quantidade total de ingressos vendidos = 7,9 milhões = 7.900.000
Desse total, o valor vendido ao espectador estrangeiro = 3,5 milhões, = 3,5 milhões
O valor dos ingressos vendidos ao espectador brasileiro será a diferença entre o valor total do ingresso vendido e o total vendido ao espectador estrangeiro.
7.900.000 - 3.500.000 = 4.400.000
The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 145 grams of a
radioactive isotope, how much will be left after 6 half-lives?
Use the calculator provided and round your answer to the nearest gram.
Answer:
2 grams
Step-by-step explanation:
a = 145 * (1/2)⁶
a = 2.265625
Rounded
2 grams
Help and explain pleaseeeeeeee!!!!!
Answer:
The choose (a)
2x+1
Step-by-step explanation:
f(g(x)) = 2(x-3)+7
=2x-6+7
=2x+1
Answer:
2x+1
Step-by-step explanation:
We know that g(x)= x-3
So f(g(x))= f(x-3)
We put it in the equation :
f(x-3)= 2(x-3) +7 = 2x-6+7 = 2x +1
4.2kg of oranges are £8.76. How much does 2kg cost
Answer:
x = 4.17
Step-by-step explanation:
We can use a ratio to solve
4.2 k 2 k
---------------- = ---------------
8.76 x
Using cross products
4.2 * x = 2 * 8.76
4.2x =17.52
Divide by 4.2
x=4.17
Answer:
2kg cost £4.18
Step-by-step explanation:
4.2 kg of oranges cost £8.76
:. 1 kg of orange cost £8.76/4.2 = £2.09
2kg cost 2 × £2.09 = £4.18