Answer: 0.28157
Step-by-step explanation:
Given, The proportion of the community favored building a police substation in their neighborhood: p= 0.75
Number of citizens are chosen: n= 10
Let x be the binomial variable that represents the number of citizens favor the building of the police substation.
Then, the probability that exactly 8 of them favor the building of the police substation will be :
[tex]P(x=8)=\ ^{10}C_8(0.75)^8(1-0.75)^2[/tex]
[Using binomial probability function [tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]]
[tex]=\dfrac{10!}{8!2!}(0.100113)(0.0625)\\\\=0.2815678125\approx0.28157[/tex]
Hence, the probability that exactly 8 of them favor the building of the police substation =0.28157
Which values for A and B will create infinitely many solutions for this system of equations?
4 x minus A y = 15. Negative 4 x + 6 y = B.
A = negative 6, B = 15
A = 6, B = 15
A = 6, B = negative 15
A = negative 6, B = negative 15
Answer: C) A = 6, B = -15
Step-by-step explanation:
In order to have infinitely many solutions, you must end up with 0 = 0 when adding the equations together.
4x - Ay = 15
-4x + 6y = B
(6 - A)y = 15 + B
↓ ↓
6 - A = 0 15 + B = 0
6 = A B = -15
Answer:
C
Step-by-step explanation:
TOOK THE TEST
What type of relationship does a correlation coefficient of r = 0.45 indicate? A. Weak negative correlation B. Weak positive correlation C. Strong positive correlation D. Strong negative correlation
Answer:
B
Step-by-step explanation:
Here, we want to know the kind of relationship a correlation value of 0.45 represents
Generally the perfect correlation value is 1, while a correlation score of zero shows no relationship between the two quantities.
Firstly, the value we have is positive, so we have a positive correlation, since it is closer to zero than 1, we can interpret the value as being a weak positive correlation
Answer:
B
Step-by-step explanation:
AABC Is dilated by a scale factor of 3 with the origin as the center of dilation to form AA' BC. The slope of AB is -1.2. The length of AB is
p units, the length of AC is qunits, and the length of BC is runits.
The slope of A' B' is The length of A'C' is
units.
Answer:
The slope of new figure A'B'C' = -1.2
A'B' = 3p units
A'C' = 3q units
Step-by-step explanation:
The value of each of the corresponding length of dilated figures (new image) = scale factor multiplied by the corresponding length in original figure.
scale factor = 3
Length of AB = p units
the length of AC = qunits
the length of BC = runits
A'B' = 3p units
A'C' = 3q units
B'C' = 3r units
slope of new figure = slope of previous figure
The slope remains the same = -1.2
The slope of the new figure is mathematically given as
dS=1.2
What is the slope of the new figure?Question Parameter(s):
The slope of AB is -1.2.
The length of AB is punits
The length of AC is qunits
The length of BC is runits.
Generally, the lengths of the new region are mathematically given as
A'B' = 3p units
A'C' = 3q units
B'C' = 3r units
In conclusion, with the new region consistent in its increase across all regions the slope will remain
dS=1.2
Read more about Arithmetic
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What is the value of x in the triangle? a 30-60-90 triangle with short leg length x and hypotenuse length 8 A. B. C. D.
In a 30-60-90 triangle with short leg length x and hypotenuse length 8. the value of x in the triangle is 8 [tex]\sqrt{3}[/tex] / 3.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the longest side and is referred to as the hypotenuse.
In a 30-60-90 triangle the ratio of the side lengths is 1 : 2 : [tex]\sqrt{3}[/tex]
To find the length of the short leg, x, you can create this proportion:
x / 8 = 1 / [tex]\sqrt{3}[/tex]
x = 8 × 1 / [tex]\sqrt{3}[/tex]
x = 8 / [tex]\sqrt{3}[/tex]
By rationalizing the denominator by multiplying the numerator and denominator by [tex]\sqrt{3}[/tex].
x = 8 [tex]\sqrt{3}[/tex] / 3
Learn more about the right triangle;
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Which is the graph of f(x) = (x - 1)(x + 4)?
4
2
2.
2
4
B
-6
2
X
-2
8
-6
Ty
6
2
Answer:
Its the last option. On the bottom.
Step-by-step explanation:
You need to Solve for x to find the zeroes of the equation.
x-1=0 So one x is at 1.
x+4=0 So the other x is at -4.
This graph is also not negative so it does not get flipped across the x-axis
The graph of the function [tex]f(x) = (x - 1)(x + 4)[/tex] is graph (d)
How to determine the graphThe equation of the function is given as:
[tex]f(x) = (x - 1)(x + 4)[/tex]
From the above function, we have the zeros of the function to be:
1 and -4
This means that:
The graph of the function passes through the x-axis at x =1 and x = -4The graph opens upwardHence, the graph is graph (d)
Read more about quadratic functions at:
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Which expression can be used to find the surface area of the following square pyramid? I DONT KNOW HOW TO PUT A PHOTO ON PC!!! but it has 4 as the base and 3 as the height PLEASE HELP
Answer:
40 or 16+6+6+6+6
Step-by-step explanation:
To find the surface area of a 3d figure, we can imagine all of its faces laid down on a flat plane. In this case, we would have a square, and four congruent triangles. Now all we have to do is find the areas of each shape and add them up.
4 is the base of the pyramid, so it's also the square's side length. Since a square has four equal sides, our square's length and width are both 4.
4*4 = 16
For every triangle we have, the base is 4 and the height is 3. The area of a triangle can be found using the formula A=(bh)/2. We plug in the values:
A = (4*3)/2
A = (12)/2
A = 6
Since we have 4 triangles, the surface area is:
16+6+6+6+6 = 40
Answer:
16+6+6+6+6
Step-by-step explanation:
KHan
In the next four questions, complete the proof of the converse of Theorem 37 (The diagonals of a rectangle are congruent.) by selecting the best reason or statement.
Answer:
Step-by-step explanation:
1) WXYZ is a rectangle 1. Given
2) ∠Z ≅ ∠Y 2. Definition of rectangle
3) WZ ≅ XY 3. Definition of rectangle
4) ZY ≅ ZY 4. Reflexive property
5) ΔWZY ≅ ΔXYZ 5. SAS
6) WY ≅ XZ 6. CPCT -Corresponding parts of congruent triangles
The diagonals of rectangle are congruent
DatGuy is gonna be super LATE! LOL I WILL NAME THEE THE BRAINLIEST! ;-) Good luck. -7Q + 6 + 5Q = 15 - 7 solve and check 3 (P + 5 ) + P = 3 (2 + P) solve and check 2 (A + 4) + 6A = 2 (2 + 3A) solve and check
Answer:
-7Q + 6 + 5Q = 15 - 7 Answer: q=−1
p+5+p=3(2+p) Answer: p=−1
(A + 4) + 6A = 2 (2 + 3A) Answer: a=0
Step-by-step explanation:
−7q+6+5q=15−7
Step 1: Simplify both sides of the equation.
−7q+6+5q=15−7
−7q+6+5q=15+−7
(−7q+5q)+(6)=(15+−7)(Combine Like Terms)
−2q+6=8
−2q+6=8
Step 2: Subtract 6 from both sides.
−2q+6−6=8−6
−2q=2
Step 3: Divide both sides by -2.
−2q/−2=2/−2
q=−1
p+5+p=3(2+p)
step 1: Simplify both sides of the equation.
p+5+p=3(2+p)
p+5+p=(3)(2)+(3)(p)(Distribute)
p+5+p=6+3p
(p+p)+(5)=3p+6(Combine Like Terms)
2p+5=3p+6
2p+5=3p+6
Step 2: Subtract 3p from both sides.
2p+5−3p=3p+6−3p
−p+5=6
Step 3: Subtract 5 from both sides.
−p+5−5=6−5
−p=1
Step 4: Divide both sides by -1.
−p/−1=1/−1
p=−1
a+4+6a=2(2+3a)
Step 1: Simplify both sides of the equation.
a+4+6a=2(2+3a)
a+4+6a=(2)(2)+(2)(3a)(Distribute)
a+4+6a=4+6a
(a+6a)+(4)=6a+4(Combine Like Terms)
7a+4=6a+4
7a+4=6a+4
Step 2: Subtract 6a from both sides.
7a+4−6a=6a+4−6a
a+4=4
Step 3: Subtract 4 from both sides.
a+4−4=4−4
a=0
Simplify (4x − 6) + (3x + 6). 7x 7x − 12 x 7x + 12
Answer:
7xStep-by-step explanation:
[tex]\left(4x-6\right)+\left(3x+6\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=4x-6+3x+6\\Group\:like\:terms\\=4x+3x-6+6\\\mathrm{Add\:similar\:elements:}\:4x+3x=7x\\=7x-6+6\\-6+6=0\\\\=7x[/tex]
Answer:
7x
Step-by-step explanation:
i took the test
What is the greatest common factor of the three terms?
36h, 12h6, 48h5
Answer:
12hStep-by-step explanation:
each term has h^1
each term's coefficient is divisible by 12
12h( 3, h^5, 4h^4)
So, the GCF is 12hMath question plz give answer with explanation will report if it is a non-sense answer. I just want to make sure I am doing it right
the top option, "meat lovers", received 12 votes. Was this majority of the votes?
Answer:
Step-by-step explanation:
if the number of votes is 25, 12 is not majority
but if the number is 23 then 12 is majority
Use multiplication to solve the proportion
7/16 = x/4
Answer:
7/16=x/4
4 times 7/16= 4 times x/4
7/4=x
Step-by-step explanation:
Answer:
1.75Step-by-step explanation:
[tex] \frac{7}{16} = \frac{x}{4} [/tex]
Apply cross product property
[tex]16 x = 7 \times 4[/tex]
Multiply the numbers
[tex]16x = 28[/tex]
Divide both sides of the equation by 16
[tex] \frac{16x}{16} = \frac{28}{16} [/tex]
Calculate
[tex]x = 1.75[/tex]
Hope this helps...
Best regards!!
Which phrase matches the expression p+7? A. 7 minus p B. the difference of 7 and p C. the quotient of p and 7 D. the sum of p and 7
Answer:
the sum of p amd 7
hopefully this helped :3
Answer:
D
Step-by-step explanation:
Since addings answer is a sum
p+7
D
Oh his bookshelf,Adam has he difference between two-thirds of brett’s book and two thirds of Charlie’s book.if Brett has 72 books and Charlie has 27 books,how many does Adam have?
Answer:
30 books
Step-by-step explanation:
1. Find what 2/3 of Brett's books is.
2/3 of 72 or 0.667 x 72 = 48
2. Find what 2/3 of Charlie's books is.
2/3 of 27 or 0.667 x 27 = 18
3. Find the difference between 2/3 of Brett's books (48) and 2/3 of Charlie's books (18).
48 - 18 = 30
Adam has 30 books.
The number of people entering a state park is a random variable X with a mean of 3 and a variance of 2. The admission to the park is $6 per car plus an additional $1.50 per person in the car. What is the mean of the total amount of money collected for a car entering the park
Answer: $10.50
Step-by-step explanation:
Given the following :
Number of people entering the park = X
Mean number of people = 3
Fixed admission fee = $6
Additional fee per passenger = $1.50
Therefore, mean total paid by a car entering the park :
MEAN Total = Admission fee + (additional fee * mean number of people entering the park)
mean Total = $6 + ($1.50 * 3)
Mean total = $6 + $4.50 = $10.50
which of the following is the graph of
[tex] \sqrt{ \times } \geqslant 4[/tex]
Answer:
Hope this is correct and helpful
HAVE A GOOD DAY!
Write the equation for a parabola with a focus at (-2,5) and a directrix at x=3 Answer has to be in Y=____ Format
Answer:
Step-by-step explanation:
The vertex of a parabola is directly in between the focus and the directrix. That means that the vertex of this parabola is at (1/2, 5). A parabola wraps itself around the focus and away from the directrix, so this parabola opens to the left. One other thing that we need to know is the distance between the vertex and the focus, the p value in the equation. So here's the equation we need (it's not a y= equation, though):
[tex]-(y-k)^2=4p(x-h)[/tex]
So here's what we know from the info above:
p = 5/2
h = 1/2
k = 5
and filling in:
[tex]-(y-5)^2=4(\frac{5}{2})(x-\frac{1}{2})[/tex] and simplifying:
[tex]-(y-5)^2=10(x-\frac{1}{2})[/tex] and then solving for x:
[tex]-\frac{1}{10}(y-5)^2+\frac{1}{2}=x[/tex]
The Royal Fruit Company produces two types of fruit drinks. The first type is 35% pure fruit juice, and the second type is 85% pure fruit juice. The company is attempting to produce a fruit drink that contains pure fruit juice. How many pints of each of the two existing types of drink must be used to make pints of a mixture that is pure fruit juice
Complete question:
The Royal Fruit Company produces two types of fruit drinks. The first type is 35% pure fruit juice, and the second type is 85% pure fruit juice. The company is attempting to produce a fruit drink that contains 70% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 50 pints of a mixture that is 70% pure fruit juice?
Answer:
Juice A = 15
Juice B = 35
Step-by-step explanation:
Given the following:
Juice A:
Let juice A = a
35% pure fruit juice
Juice B:
Let juice B = b
85% pure fruit juice
We need to make 50 pints of juice from both: that is ;
a + b = 50 -------(1)
In terms of pure fruit:
a = 0.35 ; b = 0.85 ;
Our mixed fruit juice from a and b should be 70% pure fruit = 0.7
Mathematically,
0.35a + 0.85b = 50(0.7)
0.35a + 0.85b = 35 -------(2)
Multiply (2) by 100
35a + 85b = 3500 --------(3)
We can then solve the simultaneous equation:
a + b = 50 -------(1)
35a + 85b = 3500 --------(3)
Multiply (1) by 35
35a + 35b = 1750 -----(4)
35a + 85b = 3500 ---(5)
Subtract (5) from (4)
-50b = -1750
b = 35
Substitute b = 35 into (2)
0.35a + 0.85(35) = 35
0.35a + 29.75 = 35
0.35a = 35 -29.75
0.35a = 5.25
a = 5.25/0.35
a = 15
Juice A = 15
Juice B = 35
2. If a perfect die is cast, what is probability of obtaining a 5?
A. 1/6
2. 9/20
C. 9/11
D. 7/10
-
Step-by-step explanation:
If a perfect die is cast, the probability of obtaining a 5 is 1/6.
Pleaseeee helpppppp plz❤️❤️❤️
Answer:
1: d. 3054^3
2: d. 20x
Step-by-step explanation:
1)
Well to find the volume of a sphere we use the following formula,
[tex]\frac{4}{3}\pi r^3[/tex]
So the radius is 9.
9*9*9 = 729
729*pi = 2290.22104447
So it is 2290 rounded to the nearest whole number.
2290 * 4/3 = 3053.3333333
Thus,
the answer is d. [tex]3054^3[/tex]
____________________________________________________________
So we have to factor 25x^2 - 9,
which is [tex]\left(5x+3\right)\left(5x-3\right)[/tex].
So if the l and w are 5x + 3 and 5x - 3,
= 10x
10x + 10x = 20x,
Thus,
the answer is d. 20x
Hope this helps :)
99 students choose to attend one of three after school activities: football, tennis or running.
There are 61 boys.
19 students choose football, of which 5 are girls.
31 students choose tennis.
28 girls choose running.
A student is selected at random.
What is the probability this student chose running?
Give your answer in its simplest form.
Answer: [tex]\dfrac{49}{99}[/tex]
Step-by-step explanation:
There are 61 boys --> 38 girls
A) 19 chose football: 5 are girls --> 14 are boys
B) 38 girls: 28 chose running, 5 chose football --> 5 girls chose tennis
C) 31 students chose tennis: 5 are girls --> 26 are boys.
D) 61 boys: 14 chose football, 26 chose tennis --> 21 boys chose running.
[tex]\large\boxed{\begin{array}{l|cc||c}&\underline{Boys}&\underline{Girls}&\underline{Total}\\Football&14&5&19\\Tennis&26&5&31\\\underline{Running}&\underline{\quad 21\quad}&\underline{\quad 28\quad}&\underline{\quad 29\quad}\\Total&61&38&99\end{array}}[/tex]
Total running = 21 boys + 28 girls = 49
Total students = 99
[tex]\dfrac{\text{Total running}}{\text{Total students}}=\large\boxed{\dfrac{49}{99}}[/tex]
I need the answers to the questions highlighted with the black rectangles.
Answer:
b) P(more than 10) = 2/9
c) P(less than 7) = 2/9
Step-by-step explanation:
a) Yaniq spins both spinners and then adds up the results together.
The results are as follow:
5
7
9
6
8
10
7
9
10
These are a total of 9 outcomes.
b) What is the probability that Yaniq gets a total of more than 9?
The probability is given by
P = Number of favorable outcomes/Total number of outcomes
For this case, the favorable outcomes are all those outcomes where the total score is more than 9.
Count the number of times Yaniq got a score of more than 9.
Yes right!
2 times (10 and 10)
P(more than 10) = 2/9
c) What is the probability that Yaniq gets a total of less than 7?
For this case, the favorable outcomes are all those outcomes where the total score is less than 7.
Count the number of times Yaniq got a score of less than 7.
Yes right!
2 times (5 and 6)
P(less than 7) = 2/9
Charlie creates and sells jewelry. He has designed a triangular pendant with two 2-inch sides and one 1.5-inch side.Charlie will use wire to form the triangle. He wants to make several of these pendants to sell at his store. How many pendants can Charlie make using 5 feet of wire?
Answer:
Number of pendant made = 10
Step-by-step explanation:
Given:
Sides of triangle = 2 in , 2 in , 1.5 in
Total wire = 5 ft = 5 × 12 = 60 in
Find:
Number of pendant made.
Computation:
Perimeter of 1 pendant = 2 in + 2 in + 1.5 in
Perimeter of 1 pendant = 5.5 in
Number of pendant made = Total wire / Perimeter of 1 pendant
Number of pendant made = 60 / 5.5
Number of pendant made = 10.90
Number of pendant made = 10 and 1 pendant incomplete
A box of God diva chocolate contains 52 identical wrapped chocolates AR troubles 31 have caramel filling the rest of them have walnuts what is the probability of the chocolate chosen at random containing walnuts
Answer:
21/52Step-by-step explanation:
Given the total God diva chocolate contained in a box to be equal to 52 identical chocolates.
If 31 have caramel filling, the amount of walnut filling will be 52-31 = 21. This means 21 remaining chocolate will contain walnuts.
Probability = expected number of outcomes/total outcome
If we are to find the probability that the chocolate chosen at random contains walnuts, then our expected outcome will be 21 and the total outcome will be total God diva chocolate contained in the box which is 52.
The probability that the chocolate chosen at random contains walnuts = 21/52
Please help.. ty if you do
Answer:B
Step-by-step explanation: x is less than 1 so it is a open circle on the graph and x is greater than or equal to -1 so it is a closed circle on -1, B has both of these so B is the answer
I really need help with this question, and I would really appreciate it! I will mark brainliest!
Answer:
These are two equilateral triangles and all the sides of an equilateral triangle are equal. The question even says so so that's the answer, all the sides of the equilateral triangles are equal so all the sides equate to each other
(OFFERING ALL THE POINTS I HAVE) Word Problem. Please help!! Part 1 of problem: The main tank has a radius of 70 feet. What is the volume of the quarter-sphere sized tank? Round your answer to the nearest whole number and use 3.14 for Pi. (Use sphere volume formula) Part 2: The theme park company is building a scale model of the killer whale stadium main show tank for an investor's presentation. Each dimension will be made 6 times smaller to accommodate the mock-up in the presentation room. How many times smaller than the actual volume is the volume of the mock-up? Part 3: Using the information from part 2, answer the following question by filling in the blank: The volume of the actual tank is __% of the mock-up of the tank.
Answer:
Part 1: 359,007 ft³
Part 2: 216 times smaller
Part 3: 21600%
Step-by-step explanation:
Part 1:
The parameters for the tank are;
The radius of the tank = 70 feet
The volume of a sphere = 4/3·π·r³
Therefore, the volume of a quarter sphere = 1/4×The volume of a sphere
The volume of a quarter sphere = 1/4×4/3·π·r³ = π·r³/3
Plugging in the value for the radius gives
Volume = π×70³/3 = 114,333.33×3.14 = 359,006.7≈ 359,007 ft³.
Part 2:
The dimension of the scale model = 1/6 × Actual dimension
Therefore, we have the radius of the sphere of the scale model = 1/6 × 70
Which gives;
The radius of the sphere of the scale model = 35/3 = 11.67 feet
The volume of the scale model = π·r³/3 = (3.14×11.67³)/3 = 1662.07 ≈ 1662 ft³
The number of times smaller the scale model is than the actual volume = (Actual volume)/(Scale model) = (359,007 ft³)/(1662 ft³) = 216 times
The number of times smaller the scale model is than the actual volume = 216 times = (1/Scale of model)³ = (1/(1/6))³ = 6³.
Part 3:
The percentage of the mock-up, x, to the volume of the actual tank is given as follows
x/100 × 1662 = 359,007
∴ x = 216 × 100 = 21600%
The percentage of the mock-up, to the volume of the actual tank is 21600%.
Answer:
Part 1: 359,007 ft³
Part 2: 216 times smaller
Part 3: 21600%
Step-by-step explanation:
Part 1:
The parameters for the tank are;
The radius of the tank = 70 feet
The volume of a sphere = 4/3·π·r³
Therefore, the volume of a quarter sphere = 1/4×The volume of a sphere
The volume of a quarter sphere = 1/4×4/3·π·r³ = π·r³/3
Plugging in the value for the radius gives
Volume = π×70³/3 = 114,333.33×3.14 = 359,006.7≈ 359,007 ft³.
Part 2:
The dimension of the scale model = 1/6 × Actual dimension
Therefore, we have the radius of the sphere of the scale model = 1/6 × 70
Which gives;
The radius of the sphere of the scale model = 35/3 = 11.67 feet
The volume of the scale model = π·r³/3 = (3.14×11.67³)/3 = 1662.07 ≈ 1662 ft³
The number of times smaller the scale model is than the actual volume = (Actual volume)/(Scale model) = (359,007 ft³)/(1662 ft³) = 216 times
The number of times smaller the scale model is than the actual volume = 216 times = (1/Scale of model)³ = (1/(1/6))³ = 6³.
Part 3:
The percentage of the mock-up, x, to the volume of the actual tank is given as follows
x/100 × 1662 = 359,007
∴ x = 216 × 100 = 21600%
The percentage of the mock-up, to the volume of the actual tank is 21600%.
Does this graph represent a function? Why or why not?
Answer:
B
Step-by-step explanation:
it is not a function because it fails the vertical line test,
A vertical line intersect the graph no more than once.
ERROR ANALYSIS Describe and correct the error
in finding the value of c that makes the expression a
perfect square trinomial.
x² + 30x + c
Х
x2 + 30x +
30
2
x2 + 30x + 15
La picture of your work or type your work.
Step-by-step explanation:
Our polynomial is x²+30x +c with a missing value c
c should make this polynomial expression a perfect square
Write the expression with a decreasing order of degreesx²+ 30x+c
write the terms as factorsx² + 2*15*x +c
notice that the in the middle we have 2*15*x so our third term will be 15²x²+2*15*x+15² ⇒ c = 15²=225
arrange your perfect square(x+15)²