Answer:
easy peasy,
the 'n' th term of any arithmetic sequence can be found with the following formula
=> a + ( n-1) d, [where 'a' if the first term of the sequence, 'n' the number of term we need to find, and 'd' being the common difference between each two consecutive term of the sequence)
all in this case would be,
a = 0
n = 100
d = +5
hence the 100th term would be,
=> 0 + (100 - 1) 5
=> 99 x 5
=> 495
5) A bowl contains 6 tangerines and 4 apples. John randomly selects one piece of fruit, and then Pam randomly selects one of
the remaining pieces of fruit. What is the probability that John selects a tangerine and Pam selects an apple?
Pls help
Answer:5/18
Step-by-step explanation:
there are 9 pieces of fruit in the bowl, tangerines and 5 clementines.
Assuming that they do not put the fruit back
P (tangerine) = number of tangerines/ total = 4/9
Then John keeps his and there are 8 pieces of fruit in the bowl,
3 tangerines and 5 clementines.
P (Clementine) = number of clementines/ total = 5/8
P (tangerine, no replacement, Clementine) = P (tangerine) * P (Clementine)
= 4/9 * 5/8 =5/18
The amount people who pay for electric service varies quite a bit, but the mean monthly fee is $168 and the standard deviation is $34. The distribution is not Normal. Many people pay about $90 in rural areas of the country and about $150 in urban areas of the country, but some pay much more. A sample survey is designed to ask a simple random sample of 1,200 people how much they pay for electric services.
I need the mean and standard deviation of the sample distribution and i need to know the shape of the sampling distribution
Answer:
The mean of the sample distribution is $168, and standard deviation of the sample distribution is 0.98.
The shape of the sampling distribution of sample mean is aproximately normally distributed due to sample size is larger than 30 which is 1,200
Step-by-step explanation:
According to the given data the mean monthly fee is $168, therefore, the mean of the sampling distribution of sample mean is:
μx=μ
=$168
The mean of the sampling distribution of sample means is $168
The standard deviation of the sampling distribution of sample mean is:
σx=σ/√n
σx=$34/√1,200
σx=0.98
The standard deviation of the sampling distribution of sample mean is 0.98
The shape of the sampling distribution of sample mean is aproximately normally distributed due to sample size is larger than 30 which is 1,200
center(-3,-4) radius=10 plz help
Vektor i adalah vektor satuan yang searah dengan sumbu X (dalam dimensi dua). Vektor jika dinyatakan dalam bentuk kolom adalah....
Answer:
[tex]v=\left[\begin{array}{ccc}1i\\0j\end{array}\right][/tex]
Step-by-step explanation:
We know that the given unit vector is in the direction of the x-axis.
Remember that an unit vector is a vector which magnitude is the unit, that's why is called like that.
So, the given unit vector can be written as [tex]v=1i+oj[/tex], where [tex]i[/tex] indicates the horziontal coordinate and [tex]j[/tex] indicates the vertical coordinate.
As a vertical or colum vector would be
[tex]v=\left[\begin{array}{ccc}1i\\0j\end{array}\right][/tex]
Therefore, the answer is
[tex]v=\left[\begin{array}{ccc}1i\\0j\end{array}\right][/tex]
please help me! thank you
Answer:
13 pounds happy to help mark me as brainliest pls!!!
Step-by-step explanation:
hi what is the answer to c
Which types of quadrilaterals have four congruent angles
Answer:
I'm gonna go with rectangle and square
Step-by-step explanation:
rectangle: 2 pairs of parallel sides. 4 right angles (90°). Opposite sides are parallel and congruent. All angles are congruent.
Square: 4 congruent sides. 4 right angles (90°). Opposite sides are parallel. All angles are congruent.
The rectangle and square are the types of quadrilaterals that have four congruent angles. Then the correct option is A.
What is a quadrilateral?It is a polygon with four sides. The total interior angle is 360 degrees.
Types of the quadrilateral are as follows;
Square: All the angles of square are right angle that is 90°.Rectangle: All the angles of rectangle are right angle that is 90°.Rhombus: Opposite angles are same and adjacent angles are difference.Parallelogram: Opposite angles are same and adjacent angles are difference.Thus, the rectangle and square are the types of quadrilaterals that have four congruent angles.
Then the correct option is A.
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Part A: Which function(s) could have at most 1 x-intercept? Select all that apply.
Linear
Select a Value
Linear
Quadratic, f(x) = x2 – 5x - 2
Exponential, Linear, y = 2x + 4, f(x) = 3.47
y = 2x + 4, Exponential
f(x) = x2 – 5x – 2, Linear
f(x) = 3.4"
Answer:
y = 2x + 4Step-by-step explanation:
The linear functions are the ones that can have at most 1 x-intercept. Specifically, slant lines and vertical lines have this characteristic.
The quadratic function doesn't have this characteristic because there are cases where it intercepts x-axis at two points (concave down).
Additionally, the exponential function doesn't have any x-intercept, because its range is restricted.
Therefore, the right asnwer is the linear function
The function that could have at most 1 x-intercept is y = 2x + 4.
What is a linear function?It is the function that can have at most 1 x-intercept. When slant lines and vertical lines should contain the attributes.
The quadratic function doesn't have this attribute since there are cases where it intercepts the x-axis at two points that represent concave down.
Moreover, the exponential function doesn't have an x-intercept, since its range is restricted.
Therefore, it should be a linear function.
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Question 1 (1 point)
A box of eleven chocolates contains: four Milk Chocolates, four Dark Chocolates, and three
White Chocolates. Find the probability you randomly select a chocolate that is a Milk
Chocolate or a Dark Chocolate.
Find P(Milk Chocolate U Dark Chocolate)
72.7%
0 66.7%
33.3%
15.4%
Please help!! 30 points!!
Which value of D would make the equation true?
Answer:
The answer is D.
Step-by-step explanation:
[ -6 11 -5 9 ]
On Edge.
Answer:
D
Step-by-step explanation:
edge too frfr
The volume of the cylinder below is 108π cm^3.
Select the correct radius.
a.) 3 cm
b.) 6 cm
c.) 12 cm
d.) 36 cm
Answer:
i think it is d or c idk
Step-by-step explanation
108 divided by 3 is 36 idk if you have to divide by 2 but i think its d
What is the vertex of the graph of the function f(x) = x^2 + 8x − 2 ?
a (−4, 18)
b (0, -2)
c (-8, -2)
d (−4, −18)
Answer:
The vertex is at (-4, -18) (Fourth answer choice)
Step-by-step explanation:
The standard vertex equation of a parabola is f(x) = (x - h)^2 + k.
"Completing the square" is one of the faster and better ways of determining the vertex:
f(x) = x^2 + 8x - 2 => f(x) = x^2 + 8x + 16 - 16 - 2 => (x + 4)^2 - 18. Comparing this to (x - h)^2 + k, we see that h = -4 and k = -18. The vertex is at (-4, -18).
Match the following equation to the correct situation.
⅙(t+48)=⅙t+8
A. The number of tickets that Sandra bought at the State Fair was ⅙ of the sum of t and 8
B. Kyle had 8 shoes less than ⅙ of the number of shoes that Tanya had, t.
C. The department store received 8 more than t divided by ⅙ returns after the holiday.
D. Colin donated 8 toys more than ⅙ of the number of the toys that Emory donated to a charity.
Answer:
option D is right
...............
Find the area of the shape shown below.
Answer:
44.5
Step-by-step explanation:
(1 x 12) + (5 x 13)/2 = 44.5
Answer: 44,5 cm2
Step-by-step explanation:
Rektangel:
1 × 12 = 12 cm2
triangel:
13 × 5 = 65 cm2
78 ÷ 2 = 32,5 cm2
Area:
32,5 + 12 = 44,5 cm2
complete the square to form a perfect-square trinomial.
2. x^2 - 4x + ?
4. x^2 + 12x + ?
6. x^2 + 18x + ?
(just tell me what the number is for the ? on each problem.)
Look at the attached picture
Hope it will help you.
Good luck on your assignment
PLS HELP I WILL MARK BRAINLIEST (EDITED)
Step 2: Finding the area of triangles
a) The International Space Station has small cupboards that are used for storage. A cupboard door is drawn below.
a rectangle with a line going from the upper left corner to the down right corner. at the left corner, under the line is 60. under the right corner, is 30. there is a square at the down left corner
What is a formula that can be used to find the area of one triangular section of the door? How do you know the formula will work? (3 points)
Answer:
51.9
Step-by-step explanation:
because one side is 30 and another is 60, you can assume the 3rd side of the triangle is 51.9 because of the 30-60-90 rule which states that if each angle of a triangle is 30, 60, and 90, then the side lengths equal x (30), 2x (60), and x√(3) (~51.9).
The base of the triangle is 51.9 units and the area of the right-angled triangle is 778.5 square units.
What is a right-angle triangle?"A right-angled triangle is a triangle, that has one of its interior angles equal to 90 degrees or anyone angle is a right angle. Therefore, this triangle is also called the right triangle or 90-degree triangle".
For the given situation,
A rectangular door has a diagonal, d = 60
A rectangular door has a height, h = 30
When we draw a diagonal to a rectangle, this portion forms a right-angled triangle. The length of the triangle can be found by using the Pythagoras theorem.
The formula of Pythagoras theorem,
[tex]Hypotenuse^{2} = base^{2}+perpendicular^{2}[/tex]
[tex]Base=\sqrt{(Hypotenuse)^{2} -(Perpendicular)^{2} } \\[/tex]
On substituting the above values,
⇒ [tex]Base = \sqrt{60^{2}-30^{2} }[/tex]
⇒ [tex]Base=\sqrt{2700}[/tex]
⇒ [tex]Base=51.9[/tex]
The formula to find the area of a right-angle triangle, [tex]A = \frac{1}{2}(base)(height)[/tex]
⇒ [tex]A = \frac{1}{2}(51.9)(30)[/tex]
⇒ [tex]A=778.5[/tex]
Hence we can conclude that the base of the triangle is 51.9 units and the area of the right-angled triangle is 778.5 square units.
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If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
2) There are four nickels and five dimes in
your pocket. You randomly pick a coin
out of your pocket and place it on a
counter. Then you randomly pick another
coin. Both coins are nickels.
Are the events independent or dependent?
What is the probability?
Answer:
dependent and 1/6
Step-by-step explanation:
dependent because the person didn't replace it.
4/9 times 3/8 which is 12/72 which equals to 1/6
1. On a quiet day without many witnesses, a 4.5 ft victim is shot by a sniper that
was in a tower 780 ft away. If the angle of elevation is 48° from the victim, at
what vertical distance did the sniper shoot from?
Answer:
The sniper shoot from 870.775 feet vertical distance.
Step-by-step explanation:
Refer the attached figure
Height of victim = AB = 4.5 ft.
Distance between tower and victim BC = 780 feet
The angle of elevation =[tex]\angle DAE = 48^{\circ}[/tex]
Let DE be x
AB = CE = 4.5 feet
BC =AE = 780 feet
Height of tower = DE+CE=x+4.5
In ΔDAE
[tex]\frac{Perpendicular}{Base}=Tan\theta\\\frac{DE}{AE}=Tan 48^{\circ}\\\frac{x}{780}=1.11061\\x=1.11061 \times 780\\x=866.275[/tex]
Height of tower = DE+CE=x+4.5=866.275+4.5=870.775 feet
Hence the sniper shoot from 870.775 feet vertical distance.
which of the following is a prime factorization for 60
Answer:
2x2x3x5
Step-by-step explanation:
What is 3 to the power of three halves equal to?
Answer:
[tex]3\sqrt{3}[/tex] or ≈5.196
Step-by-step explanation:
We can write the given information as an exponent:
[tex]3^{\frac{3}{2} }[/tex]
We know that the denominator represents the root, and the numerator represents the power. This gives us:
[tex]\sqrt[2]{3^{3} }[/tex]= [tex]\sqrt{27}[/tex]= [tex]3\sqrt{3}[/tex]
Given f(x) = 2x +9. Find f(-7) *
Your answer
Answer:
f(-7) = -5
Step-by-step explanation:
We want to find what f(x), or y is, when x is equal to -7.
f(x)=2x+9
Therefore, we can substitute -7 in for x.
f(-7)=2(-7)+9
Now, solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
Multiply 2 and -7 first.
f(-7)= -14+9
Add -14 and 9
f(-7)=-5
A demand ___ is a graphic representation of the law of demand
a. schedule
b. curve
c. projection
d. model
Answer:
I think it is b. Curve
Step-by-step explanation:
What is the median of this data set?
A.) 1 Books
B.) 2 Books
C.) 3 Books
D.) 4 Books
Answer:
D) 4 books
Step-by-step explanation:
plz mark me brainliest
Answer: 4 took quiz lol
Step-by-step explanation:
Please help. Question below.
Answer:
See explanation
Step-by-step explanation:
Let's go over the definition of each term.
Mean: Average of all the data. Find by adding all the terms, then dividing that by the amount of terms
Median: Value in the middle of the data when the values are in order. Find by locating the term in the middle position.
Mode: The number or numbers that occur most often in the data.
Range: Difference between the highest and lowest values in the data. Find by subtracting the lowest value from the highest.
Outlier: A number or numbers that are different from the rest of teh data and cannot be accurately included.
Now, let's find the answers.
32 + 25 + 21 + 32 + 7 + 26 + 32 + 35 + 37 + 36 + 25 + 25 + 62 + 36 = 431
431/14 = 30.8. Therefore, the mean is 30.8.
When the numbers are in order, they look like this:
7, 21, 25, 25, 25, 26, 32, 32, 32, 35, 36, 36, 37, 62.
Since there are two numbers in the middle, 32 and 32, find the average of the two numbers. 32 + 32 / 2 = 32. Therefore, the median is 32.
The numbers that occur most often are 25 and 32, which each occur three times. Therefore, the modes are 25 and 32.
The largest value is 62 and the smallest is 7. 62 - 7 = 55. Therefore, the range is 55.
There are two numbers that are much higher or much lower than the rest of the data: 7 and 62. Therefore, the outliers are 7 and 62 (hint: if you're sure there are outliers, check the highest and lowest numbers in the data).
What is the probability of spinning a 1 and flipping heads
Answer:6/11
Step-by-step explanation:
The probability of spinning a 1 and flipping a heads is given by the equation A = 1/10
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of spinning a 1 and flipping a heads be A
Now , the equation will be
The total number of values in the spinner = { 1 , 2 , 3 , 4 , 5 }
So , the number of possible outcomes = 5
The probability of spinning a 1 = 1 / number of possible outcomes
Substituting the values in the equation , we get
The probability of spinning a 1 = 1/5
The number of outcomes for flipping a coin = { heads , tails }
Now , the probability of flipping a head = 1/2
So , the probability of spinning a 1 and flipping a heads A = probability of spinning a 1 x probability of flipping a head
Substituting the values in the equation , we get
The probability of spinning a 1 and flipping a heads A = ( 1/5 ) ( 1/2 )
On simplifying the equation , we get
The probability of spinning a 1 and flipping a heads A = 1/10
The probability of spinning a 1 and flipping a heads A = 0.1
Hence , the probability is 1/10
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Segments AB, EF, and CD intersect at point C, and angle ACD is a right angle. Find the
value of g
Solution:
Find the equation of the circle that is shifted 5 units to the left and 2 units down from the circle with the equation x² + y2 = 19.
A. (x - 5)2 + (x - 2)2 = V1
B. (x + 5)2 + (x - 2)2 = 19
C. (x + 2)2 ++5)= 19
D. (+52 + (y + 2)2 = 19
If there are 7 people in a family, 4 grandparents, a grandchild a mom and dad, what is the average age of each person, if all together they are 381 years old?
Answer: 54.43
Step-by-step explanation:
381 / 7
Which of the following inequalities is correct?
Answer:
a < b < c
Step-by-step explanation:
a is -4, which is less than b, at 1, and c at 7.
If this answer is correct, please make me Brainliest!
Answer:
the answer is a it cant not be b,c
