Answer:
1/5
Step-by-step explanation:
2/10 chance that a pug would be selected
2/10 is simplified to 1/5
The probability that a randomly selected dog is a pug is 1/5.
What is a Probability?It is a ratio of number of required outcomes to the total outcomes.It is usually used to predict the outcome of any event.It is very useful in solving mathematical problems.Given:
There are 10 dogs at the dog park.
2 dogs are pugs.
We have to find the probability that a randomly selected dog is a pug.
We know, probability is given by:
⇒ Probability = Total number of dogs which are pug / Total number of dogs at the park
⇒ Total number of dogs which are pug = 2
⇒ Total number of dogs at the park = 10
⇒ P(pug) = 2/10
⇒ P(pug) = 1/5
Therefore, the probability that a randomly selected dog is a pug is 1/5.
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Let x be a random variable representing the amount of sleep each adult in New York City got last night. Consider a sampling distribution of a sample means x. A.) As the sample size becomes increasingly large, what distribution does the x distribution approach?
Answer:
A normal distribution
A particular sound wave can be graphed using the function
y = 1 sin 2x. Find the amplitude of the function.
Answer:
Amplitude =1
Step-by-step explanation:
Given function is [tex]y=1\cdot\sin\left(2x\right)[/tex].
Now we need to find about what is the amplitude of the given function [tex]y=1\cdot\sin\left(2x\right)[/tex].
To find that let's compare given equation [tex]y=1\cdot\sin\left(2x\right)[/tex] with standard equation [tex]y=a\cdot\sin\left(bx-c\right)+d[/tex]. We get:
a=1
We know that amplitude of the function [tex]y=a\cdot\sin\left(bx-c\right)+d[/tex] is given by the value of |a|.
Hence amplitude of the given function = |a|= |1|=1
Plz help easy math !!
The answer is A B and E
Answer is all of these, A, B, and E.
Evaluate -5x2-3x for x= -2.
Answer:
are u a girl
Step-by-step explanation:
Answer:
-5(-2x2)-3(-2)=26
Solve for X and solve for Y step by step
Answer:
x = 4, y = 1
Step-by-step explanation:
Given the 2 equations
4x + y = 17 → (1)
2x + y = 9 → (2)
Subtract (1) from (2) term by term
(4x - 2x) + (y - y) = (17 - 9)
2x = 8 ( divide both sides by 2 )
x = 4
Substitute x = 4 into (1) and solve for y
4(4) + y = 17
16 + y = 17 ( subtract 16 from both sides )
y = 1
If X = 10 cm, Y = 24 cm, and Z = 26 cm, what is the tangent of A?
2.4cm is the tangent of A
Final answer:
The tangent of angle A, with angle A opposite side X in a right triangle where X = 10 cm and Y = 24 cm, is approximately 0.4167.
Explanation:
If we have a triangle with sides X = 10 cm, Y = 24 cm, and Z = 26 cm, we can use the tangent function to determine the tangent of angle A, assuming that angle A is opposite the side X. Using the fact that the y-axis passing through the third charge bisects the 24-cm line, we create two right triangles of sides 5, 12, and 13 cm, indicating that the triangle in question is in fact a right triangle, with the two smaller sides being X and Y, and the hypotenuse being Z.
Using the definition of tangent, which in a right triangle is the ratio between the side opposite to the angle and the side adjacent to the angle, the tangent of angle A would be tan(A) = opposite / adjacent. In this triangle, that would mean:
tan(A) = X / Y = 10 cm / 24 cm
Calculating this gives us:
tan(A) ≈ 0.4167
Therefore, the tangent of angle A is approximately 0.4167.
Colin invests £980 into his bank account. He receives 2.1% per year simple interest. How much will Colin have after 4 years? Give your answer to the nearest penny where appropriate
1062.32. that's how much he will have after 4 years
Colin will have £1,062.32 after 4 years.
What is simple interest?Simple interest is the type of interest in which the accumulated interest amount is not taken into consideration while adding the interest.
It is given by:
SI = P*r*T/100
We can find the amount as follows:
The amount that Colin invests is given as £980.
The rate of interest is given as 2.1%.
The amount is deposited for 4 years.
The total amount in the bank after 4 years can be given by:
Amount = P + P*r*T/100
= P(1 + 2.1*4/100)
= 980(1 + 0.084)
= 980 * 1.084
= £1,062.32
The total amount that Colin would have after 4 years is found. The Amount that Colin would have is equal to £1,062.32.
Therefore, we have found that Colin will have £1,062.32 after 4 years.
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The weather report shows the 5 day forecast in st.paul,minnesota.What is the sum of the various temperatures over the five day?
Answer:-2
Step-by-step explanation:
The sum of temperatures over five days in St. Paul, Minnesota would be calculated by adding the individual temperatures of each day together. If any temperatures are negative, it would decrease the total sum.
Explanation:To find the sum of the various temperatures over the five days in St. Paul, Minnesota, you need to know the specific temperatures for each day. Assuming we have those temperatures, let's say they are 20°C, 22°C, 19°C, 21°C, and 23°C. You simply add these temperatures together: 20 + 22 + 19 + 21 + 23. The total would be 105°C for the five days. This is a basic mathematical operation, summarizing data by adding them together. Note: If any of the temperatures were negative (like -5°C), this would decrease the sum because you would be essentially subtracting that value.
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which statement about g(x)=x^2-576 is true
a. the zeros, -288 and 288, can be found when 0=(x+288)(x-288.
b. the only zero,288 , can be found when 0=(x-288)^2.
c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).
d. the only zero, 24, can be found when 0=(x-24)^2
Answer:
c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).
Step-by-step explanation:
The given function is
[tex]g(x)=x^2-576[/tex]
When we equate the function to zero, we obtai;
[tex]x^2-576=0[/tex]
Use difference of two squares:
[tex]x^2-24^2=0[/tex]
[tex](x-24)(x+24)=0[/tex]
Use the zero product property to obtain;
[tex]x-24=0,\:and\:x+24=0[/tex]
This implies that;
[tex]x=24,\:and\:x=-24[/tex]
The correct choice is C
Answer:
The zeros, -24 and 24, can be found when 0= (x+24)(x-24).
Step-by-step explanation:
Find the difference 3/4 - 5/8.
-Hello There-
If We Subtracted 5/8 From 3/4 We Would Have A Difference Of 1/8
Have A Great Day!
Answer:
The difference between 3/4 and 5/8 is 1/8
what would 7/8 of an hour be? please explain how you got your answer
I think the answer is 52.5.
What is the Y-value of the vertex of4x^2+8x-8
Answer:
-12
Step-by-step explanation:
y = 4x^2 + 8x - 8
Put brackets around the first 2 terms and pull out the common factor
y = (4x^2 + 8x) - 8
y = 4(x^2 + 2x) - 8
Take 1/2 of the linear term (2x) and square it. Put the square inside the brackets.
y = 4(x^2 + 2x + (2/2)^2 ) - 8
y = 4(x^2 + 2x + 1) - 8
You have added 4*1 inside the brackets. You must subtract that amount outside the brackets.
y = 4(x^2 +2x + 1) - 8 - 4
Notice that the trinomial inside the brackets is a perfect square. Combine the terms outside the brackets.
y = 4(x + 1)^2 - 12
You have completed the square and you are finished.
The vertex is (-1, - 12)
The y value is - 12.
Just to confirm this, I have included the graph.
What is the solution to this inequality: 8x < -32
Answer:
x < -4 or (-∞,-4)
Step-by-step explanation:
to solve 8x < -32, we treat the inequality symbol as an = sign and solve it like we would any other equation: get x alone
8x < -32 < divide both sides by 8 to isolate x
8x/8 = x
-32/8 = -4
x < -4 is our solution
in interval notation this can be written as (-∞, -4)
A sports ball has a diameter of 16cm. Find the volume of the ball
Diameter d=16cm
d=r/2=8cm
Volume V(sphere)=4/3*pi*r^3
Therefore volume V=2145.52 cm^3
Hope this helps!
Answer:
The volume of ball = 2143.57 cm³
Step-by-step explanation:
Formula:-
Volume of sphere = (4/3)πr³
Where 'r' is the radius of sphere
To find the volume of ball
Here diameter of ball = 16 cm
Radius r = Diameter/2 = 16/2 = 8 cm
Volume = (4/3)πr³
= (4/3) * 3.14 * 8³
= 2143.57 cm³
Therefore volume of given ball is 2143.57 cm³
whats the slope. review but i forgot (//_^)
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (- 5, - 2)
m = [tex]\frac{-2-5}{-5-2}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1
How do you do this problem
Answer:
[tex]\large\boxed{\text{Factored Form:}\ f(x)+-(x-1)(x-5)}\\\boxed{\text{Vertex Form:}\ f(x)=-(x-3)^2+4}\\\boxed{\text{Standard Form:}\ f(x)=-x^2+6x-5}[/tex]
Step-by-step explanation:
(look at the picture)
Factored form:
[tex]f(x)=a(x-x_1)(x-x_2)[/tex]
x₁, x₂ - zeros
Vertex form:
[tex]f(x)=a(x-h)^2+k[/tex]
(h, k) - vertex
Standard form:
[tex]f(x)=ax^2+bx+c[/tex]
If from the vertex we go 1 unit down (up) and 1 unit left (right) and we get the point on the parabola, then a = 1.
The parabola is open down, therefore a < 0 → a = -1.
The zeros are [tex]x_1=1[/tex] and [tex]x_2=5[/tex]. Therefore the Factored Form is:
[tex]f(x)=-(x-1)(x-5)[/tex]
The vertex is V(3, 4). Therefore the vertex form is:
[tex]f(x)=-(x-3)^2+4[/tex]
Convert it to a standard form using (a - b)² = a² - 2ab + b²
[tex]f(x)=-(x^2-2(x)(3)+3^2)+4=-x^2+6x-9+4=-x^2+6x-5[/tex]
Which geometric series converges ? I still don’t understand . Can someone explain the answer and WHY !
Answer:
B
Step-by-step explanation:
A geometric series will only converge if the common ratio r meets the requirement
- 1 < r < 1
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a[tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
All terms inside the summation are of this form
The only one with - 1 < r < 1 is B where r = [tex]\frac{3}{4}[/tex] = 0.75
The series with the common ratio 2/3 and 3/4 converge. That is option A. [tex]sum n = 1 to ∞ 1/6 * (4)^(n-1)[/tex] and option B. [tex]sum n = 1 to ∞ 5 * (3/4)^(n-1)[/tex]
How did we arrive at these assertions?To determine whether a geometric series converges or diverges, we need to examine the common ratio (r) of the series. A geometric series converges if the absolute value of the common ratio is less than 1 (|r| < 1). It diverges if the absolute value of the common ratio is greater than or equal to 1 (|r| ≥ 1).
Let's analyze each series:
1. [tex]sum n = 1 to ∞ 1/6 * (4)^(n-1)[/tex]
The common ratio in this series is 4/6, which simplifies to 2/3. Since |2/3| < 1, this series converges.
2. [tex]sum n = 1 to ∞ 5 * (3/4)^(n-1)[/tex]
The common ratio in this series is 3/4. Again, |3/4| < 1, so this series also converges.
3. [tex]sum n = 1 to ∞ 3 * (7/5)^(n-1)[/tex]
The common ratio in this series is 7/5. However, |7/5| > 1, which means the series diverges.
4. [tex]sum n = 1 to ∞ 1/9 * (1)^(n-1)[/tex]
The common ratio in this series is 1. Since |1| ≥ 1, this series also diverges.
In summary:
- The series with the common ratio 2/3 and 3/4 converge.
- The series with the common ratio 7/5 and 1 diverge.
The reason behind this is that when the absolute value of the common ratio is less than 1, each subsequent term in the series becomes smaller and smaller. As a result, the sum of the series approaches a finite value. Conversely, if the absolute value of the common ratio is greater than or equal to 1, the terms in the series do not decrease enough, causing the sum to increase without bound, leading to divergence.
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write a polynomial function of least degree with integral coefficients that has the given zeros. -(1/3), -i
Answer:
[tex]f(x)=3x^3+x^2+3x+1[/tex]
Step-by-step explanation:
If a real number [tex]-\frac{1}{3}[/tex] is a zero of polynomial function, then
[tex]x-\left(-\dfrac{1}{3}\right)=x+\dfrac{1}{3}[/tex]
is the factor of this function.
If a complex number [tex]-i[/tex] is a xero of the polynomial function, then the complex number [tex]i[/tex] is also a zero of this function and
[tex]x-(-i)=x+i\ \text{ and }\ x-i[/tex]
are two factors of this function.
So, the function of least degree is
[tex]f(x)=\left(x+\dfrac{1}{3}\right)(x+i)(x-i)=\left(x+\dfrac{1}{3}\right)(x^2-i^2)=\\ \\ =\left(x+\dfrac{1}{3}\right)(x^2+1)=\dfrac{1}{3}(3x+1)(x^2+1)=\dfrac{1}{3}(3x^3+x^2+3x+1)[/tex]
If the polynomial function must be with integer coefficients, then it has a form
[tex]f(x)=3x^3+x^2+3x+1[/tex]
Please, help!!!!! ASAP!!!
It's triangle JKL.
Answer:
Step-by-step explanation:
first look at all the equation and solve them. When you get the all of there answer then divide the answers by the sides. And then you will find your answer!
Find all of the zeros of f(x) = 5x^2 +40x-100
(Multiple choice is up above) if it’s right I promise to mark brainles!
Answer:the answer is B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Given
5x² + 40x - 100
To find the zeros equate to zero, that is
5x² + 40x - 100 = 0 ( divide all terms by 5 )
x² + 8x - 20 = 0
To factor the quadratic
Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (+ 8)
The factors are + 10 and - 2, since
10 × - 2 = - 20 and 10 - 2 = + 8, thus
(x + 10)(x - 2) = 0
Equate each factor to zero and solve for x
x + 10 = 0 ⇒ x = - 10
x - 2 = 0 ⇒ x = 2
Zeros are x = - 10 and x = 2 → B
Plz read question and tell answer
Answer:
Lin has not proven that the probability is not 1/2 because there are only two possible outcomes when flipping a coin and each side has a 50% chance of facing up. Liz flipping the coin 10 times and not getting equal results for both sides is just a random occurrence and it does not effect the 50% chance.
In an aquarium containing 230 fish, 20% are angelfish. How many of the fish are angelfish
Answer:
46
Step-by-step explanation:
I went to google.
Search up 20% of 230,
got 46 lol
If there is an aquarium containing 230 fish, 20% are angelfish, then there are 46 angelfish in the aquarium.
To find the number of angelfish in the aquarium, we first need to calculate 20% of 230, as the given percentage represents the proportion of angelfish in the total fish population.
Calculate 20% of 230
To find 20% of a number, we multiply the number by 0.20 (which is the decimal equivalent of 20%).
20% of 230 = 0.20 * 230
= 46
Determine the number of angelfish
Now that we know that there are 46 angelfish in the aquarium, we have successfully answered the question.
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Terry has three pairs of pants black khaki and brown and four shirts yellow red blue and white he does not care which colors he wears together if Terry chooses one pair of pants and one shirt randomly what is the probability that the outfit will be black pants and yellow shirt
the answer would be 0.08333… or 1/12
(from my own work it would be ,I'm not saying its right or wrong though)
The probability that Terry randomly chooses an outfit with black pants and a yellow shirt is 1 out of 12, calculated by dividing the number of favorable outcomes (1) by the total possible outcomes (12).
The question revolves around basic probability. Terry has three pairs of pants and four shirts, meaning there are a total of 3 x 4 = 12 possible outfits. Since only one outfit consists of black pants and a yellow shirt, the probability of selecting this combination is therefore 1 out of 12.
The formula used to calculate this probability is the number of favorable outcomes divided by the total number of possible outcomes. In this case, the favorable outcome (black pants with a yellow shirt) is just one, and the total number of possible outfits is twelve.
PLEASEEEEE HELP ASAP WILL MARK BRAINIEST
Create a two-way table of the data. Of the students who were surveyed, how many were girls? How many boys liked summer?
Create a two-way relative frequency table that displays the relative frequency of the boys and girls and the season they liked best. Express your answers as fractions and then change them to decimals rounded to 2 decimal places as needed.
What percentage of girls liked winter? Show your work.
Answer:
Step-by-step explanation:
2 I think?
40% of girls liked winter.
A two-way relative frequency table was then constructed, turning the frequencies into fractions and subsequent decimals. Lastly, it was determined that 40% of girls liked winter.
To create a two-way table from the given data, we can categorize the students by gender and preferred season. Here’s how the table would look based on the information provided:
Summer
Winter
Boys
4
4
Girls
3
2
From this table, we can see that there are 5 girls and 4 boys who liked summer. To create a two-way relative frequency table, divide each entry by the total number of students, which is 12:
Summer
Winter
Boys
4/12 (0.33)
4/12 (0.33)
Girls
3/12 (0.25)
2/12 (0.17)
To find the percentage of girls who liked winter, we divide the number of girls who liked winter by the total number of girls and multiply by 100:
[tex](\frac{2}{5}) \times 100 = 40\%[/tex]
Please help me anyone one, please
Answer:
Step-by-step explanation:
Be sure to insert π where appropriate!
If the diameter of the yo-yo is 4 in, then the radius is 2 in.
The area comes from A = πr² and the circumference from C = πd.
In this case the area is A = π(2 in)² = 4π in² or 12.57 in².
The circumference is C = 4π in or 12.57 in.
80 divided by 70 plus 90 x 200 divided by 5
Answer:
3601 1/7Step-by-step explanation:
First operation:
multiplication and division
Second operation:
addition
80 divided by 70 → 80 : 70 = 8/7
90 x 200 = 18000
90 x 200 divided by 5 → 18000 : 5 = 3600
80 divided by 70 plus 90 x 200 divided by 5 → 8/7 + 3600
1 1/7 + 3600 = 3601 1/7
How many lines of symmetry does the letter M have
M has one line of symmetry!
Hope it helped!
Find the 10th term in the following geometric sequence 1/3,1,3,9
[tex]\bf \cfrac{1}{3}~~,~~\stackrel{\frac{1}{3}(3)}{1}~~,~~\stackrel{1(3)}{3}~~,~~\stackrel{3(3)}{9}~~...\qquad \qquad \impliedby \textit{3 is the common ratio} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\[-0.5em] \hrulefill\\ r=3\\ a_1=\frac{1}{3}\\ n=10 \end{cases}\implies a_{10}=\cfrac{1}{3}\left(3^{10-9} \right) \\\\\\ a_{10}=\cfrac{1}{3}\cdot 3^9\implies a_{10}=\cfrac{1}{3}\cdot 19683\implies a_{10}=6561[/tex]
Answer:
19683
Step-by-step explanation:
Determine the vertex of the function f(x)= -4(x-3)^2+6
Answer:
The vertex is the point (3, 6)
Step-by-step explanation:
For a quadratic function [tex]ax ^ 2 + bx + c[/tex] its vertex form is:
[tex]y = a (x-h) ^ 2 + k[/tex]
Where
a is the main coefficient
h is the x coordinate of the vertex
k is the cordage y vertice
Therefore, for a function in this way the vertex will always be the point (h, k)
Notice that for the function
[tex]f (x) = -4 (x-3) ^ 2 + 6\\\\a = -4\\\\h = 3\\\\k = 6[/tex]
Then the vertex is the point (3, 6)
Answer:
(3, 6)
Step-by-step explanation:
Since the question is in y = 1(x-h)^2 +k form and you just put the opposite sign for h making it from 3 to -3.
So far we got x as 3.
and for Y you have k which is 6 so you final answer would be (3,6)
Brainiest would be appreciated.
Divide the sum of 8 and 12 by 4
Sum of 8 and 12 = 8+12=20
20/4 = 5
boom, 5 is the answer