The percent of the people surveyed were satisfied with the car will
be 45%.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
Total number of people in a survey of car = 1,500
And, 675 people said they would buy that type of car again.
Now,
Total number of people in a survey of car = 1,500
And, The people surveyed were satisfied with the car = 675
Hence, The percent of the people surveyed were satisfied with the car is;
= 675 / 1500 x 100
= 0.45 x 100
= 45%
Thus, The percent of the people surveyed were satisfied with the car will
be 45%.
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Freda bought 700 grams of almonds and 500 grams of cashews. How many kilograms of nuts did Freda buy in all?
Answer:
1.2kl
Step-by-step explanation:
1000grams=1kilogram
700+500=1200
so 1.2kilograms
Please need help thank you
Answer:
9
Step-by-step explanation:
Answer:
9 clients ran at least 2 laps
Step-by-step explanation:
5 clients ran 2 laps, and 4 clients ran 3 laps
What is the greatest common factor of 14 and28
Answer:
7
Step-by-step explanation:
2*7=144*7=28Common factor = 7Answer:
7
Step-by-step explanation:
The greatest common factor is the largest number that goes into both numbers. In this case, that is 7.
For two n by n square matricies A and B,
suppose rankA = rankB = n-1.
Can rank(AB) become less than n-1 ?
(e.g. rank (AB) = n-2)
If so, I humbly ask you for an example.
Thank you very much.
No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.
According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.
If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.
Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.
However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.
Therefore, if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.
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A bag of marbles contains 15 blue marbles and 25 green marbles. Which of the
following shows the fraction of green marbles in the bag?
Answer:
5/8
Step-by-step explanation:
Consider the function y = (1/3)^x +4.
How does this function's graph compare to that
of y = (1/3)^x?
The graph of the function y = (1/3)ˣ+4 is vertically shifted graph of the function y = (1/3)ˣ
What is the transformation?A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.
Given is a function y = (1/3)ˣ+4, we need to compare the graph of this function to the graph of the function y = (1/3)ˣ
We know that,
In vertical shifting, adding a constant to a function will shift its graph vertically, adding a positive constant c will shift the graph upward c units, while adding a negative constant c will shift it downward c units.
Here, we can see, in y = (1/3)ˣ+4, constant 4 is added, that mean the graph of the function y = (1/3)ˣ is vertically shifted upward 4 units.
Hence, the graph of the function y = (1/3)ˣ+4 is vertically shifted graph of the function y = (1/3)ˣ
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Dan is mailing packages. Each small package costs him $2.30 to send. Each large package costs him $3.90. How much will it cost him to send 4 small packages and 6 large packages?
Answer: $32.60
Step-by-step explanation:
(4)(2.30) + (6)(3.90)
= 32.60
Answer:
for him it send 4 small packages it will cost 9.20
For him to send 6 large packages it will cost 23.40
23.40 + 9.20 = 32.60
Step-by-step explanation:
Formula: Quanity x Cost = Total
After Totals + Costs = Exact Total
Simply (x-4) (x^2 + 3x - 1)
Answer:
The answer is x³ - x² - 13x + 4.
Step-by-step explanation:
I have this was helpful <3
Answer:
\(x^3-x^2-13x+4\)
Step-by-step explanation:
Distribute
\((x-4)(x^2+3x-1)\)
\(x(x^2+3x-1)-4(x^2+3x-1)\)
Distribute
\(x(x^2+3x-1)-4(x^2+3x-1)\)
\(x^3+3x^2-x-4(x^2+3x-1)\)
Distribute
\(x^3+3x^2-x-4(x^2+3x-1)\)
\(x^3+3x^2-x-4x^2-12x+4\)
Combine like term
\(x^3+3x^2-x-4^2-12x+4\)
\(x^3-1x^2-x-12x+4\)
Combine like term
\(x^3-x^2-x-12x+4\)
\(x^3-x^2-13x+4\)
Solution
\(x^3-x^2-13x+4\)
A company charges an initial fee plus an hourly rate to rent scooters. This table
shows the total cost to rent a scooter for different amounts of time.
Hours Total Cost
3 $25
5 $35
7 $45
What is the hourly rate (in dollars) that the company charges to rent a scooter?
Answer:
8.3, 7, 6.4 which is $21.07
Step-by-step explanation:
Answer:
8.333333333333 but round it to 8.3
Step-by-step explanation:
all u have to do it divide 25 and 3 and get 8.3333333 so then u round it to 8.3
There are 24 hours in a day, At 7 a.m. how many hours are left in the day?
Answer:
17
Step-by-step explanation:
Answer:17
Step-by-step explanation:
24-7=17
The graph of a cube root function f is shown.
The graph of g is a vertical shrink by a factor of 1/2 of the graph of f. Graph the function g.
A graph of the cube root function g(x) = 1/2x³ is shown in the image below.
What is a dilation?In Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.
This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would be stretched or shrunk depending on the scale factor that is applied.
When the parent cube root function f(x) = x³ is vertically shrunk by a scale factor of 1/2, the transformed function g(x) is given by;
g(x) = kf(x)
g(x) = 1/2f(x)
g(x) = 1/2x³.
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Dimitri has let out 40m of his kite string, which makes an angle of 72° with the horizontal ground. If the kite flies directly over Sarah's head, what is the distance between Dimitri and Sarah?
Using the cosine ratio, the distance between Dimitri and Sarah is calculated as approximately 12.4 m.
How to Apply the Cosine Ratio?The cosine ratio is a trigonometric ratio that represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. It is calculated by dividing the length of the adjacent side by the length of the hypotenuse.
Using the cosine ratio, we have:
Reference angle (∅) = 72 degrees
Hypotenuse length = 40 m
Adjacent length = distance between Dimitri and Sarah = x
Plug in the values:
cos 72 = x/40
x = cos 72 * 40
x ≈ 12.4 [to one decimal place]
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AVID class is having a bake sale, and they are selling cookies and cake to raise money for a field trip. A bag of
cookies costs $3 and a slice of cake costs $5. The class wants to raise $900.
The situation can be represented by expression 3x + 5y = 900
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Let x represent the number of cookies and y represent the number of cake slice.
The class wants to raise $900.Hence:
3x + 5y = 900
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For the following question, use the function h=−16t2+v0t+h0,where h is the height of the object after time t, v0 is the initial velocity, and h0 is the initial height.
An object is thrown upward from a height of 720ft with an initial velocity of 64ft/s.How long will it take for the object to reach the ground?
Answer:
The object will hit the ground after 9 seconds.
Step-by-step explanation:
We are given the function:
\(\displaystyle h(t) = -16t^2 + v_0t + h_0\)
Where h is the height of the object after time t, v₀ is the initial velocity, and h₀ is the initial height.
An object is thrown upwards from a height of 720 feet and an initial velocity of 64ft/s. We can to determine how long it will take for the object to reach the ground.
Hence, h₀ = 720 and v₀ = 64. Substitute:
\(\displaystyle h(t) = -16t^2+64t+720\)
When the object reaches the ground, its height h above the ground will be zero. In other words:
\(\displaystyle 0 = -16t^2 + 64t + 720\)
Solve for t:
\(\displaystyle \begin{aligned} -16t^2 + 64t + 720 &= 0 \\ \\ t^2 - 4t-45 & = 0 \\ \\ (t-9)(t+5) & = 0 \\ \\ t &= -5 \text{ or } t = 9\end{aligned}\)
Since time cannot be negative, we can ignore the first solution.
In conclusion, the object will hit the ground after 9 seconds.
What is the growth factor of the following example? Assume time is measured in the units given.
A city grows by 28% per decade
a. 0.28 per decade c. 128 per decade
b. 28 per decade d. 1.28 per decade
Please select the best answer from the choices provided
Answer:
D. 1.28 per decade
Step-by-step explanation:
I calculated it logically
Henry correctly factored 42? + 52 - 6 as (4% - 3)(₴ + 2)
• He then claimed that the zeros of that quadratic function are located at
*=-=
and r = 2 . Did Henry correctly find the zeros of the function?
O Yes, Henry correctly found the zeros of the function.
O No, the zeros of the function are at x = 4 and =-2
• No, the zeros of the function are at z = - 5 andx = 2.
• No, the zeros of the function are at & = 4 and ≥ = -2
I attached the question and answer choices
Please help
Answer:
No, the zeros of the function are at x = 3/4 and x = –2
Step-by-step explanation:
the equation
4x² + 5x – 6 = 0
(note: since there is a coefficient of x² we need to multiply it to the last term(6))
4x² + 5x – 24 = 0
the factors are :- 8x and – 3x
4x² + 8x – 3x – 6 = 0
4x( x + 2) –3( x + 2) = 0
( 4x – 3)( x + 2) = 0
the zeros will be
4x – 3 = 0
4x = 3
\(x = \frac{3}{4} \)
x + 2 = 0
x = – 2
the zeros are x= 3/4 or –2
i hope this helps
Answer all questions about the solid.
The shape is a triangular prism with a triangular base, base area of 24in², height of 5in and volume of 40in³
Determining the volume of a prismThe given solid is a triangular prism since its base figure is triangular in nature.
Since the base is a triangle, the area of the base is expressed as:
Area = 1/2 * base * height
Area of base = 1/2 * 6 * 8
Area of base = 24 square inches
The height of the solid is 5 inches and the required volume is calculated as:
Volume = BH/3
Volume = 24*5/3
Volume = 40 cubic inches
The shape is a triangular prism with a triangular base, base area of 24in², height of 5in and volume of 40in³
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Problem 3.4 (Video 2.5 - 2.6, Lecture Problem) You are interested in calculating the probability that your favorite 1
Game of Thrones character is eliminated in episode X. You have decided to model X as a Geometric (1/4) random variable. (a) Unfortunately, you have learned a spoiler: your favorite character does not appear in episode 4 or beyond. What is the conditional PMF P X∣B
(x) of X given the event B={X<4} ? (b) Given this spoiler, what is the probability that your favorite character is eliminated in one of the first two episodes? (c) Given this spoiler, what is the expected value of X conditioned on the event B ? (d) Let's consider yet another scenario: After watching the show for 2 episodes, you are happy to see that your favorite character has not been eliminated yet. What is the conditional PMF P X∣C
(x) of X given the event C={X>2} ? 1
Somehow, you have already managed to decide on a favorite character before watching any episodes. 2 (e) Let Y=X−2 be the number of additional episodes after the 2 nd that it takes for your favorite character to be eliminated. Using part (d), quickly determine the conditional PMF P Y∣C
(y) of Y given the event C={X>2}. Determine the family of random variables this conditional PMF belongs to, along with the associated parameter(s). (f) Using what you learned in part (e), determine the conditional mean E[X∣C].
(a) The conditional PMF P X∣B (x) of X given the event B={X<4} can be calculated using the formula
P(X=x|B) = P(X=x and B)/P(B).
Since the event B={X<4} includes the events X=1, X=2, and X=3, we can calculate P(B) as the sum of the probabilities of these events:
P(B) = P(X=1) + P(X=2) + P(X=3) = (1/4) + (3/4)(1/4) + (3/4)^2(1/4) = 13/16.
Therefore, the conditional PMF P X∣B (x) is given by:
P(X=1|B) = P(X=1 and B)/P(B) = (1/4)/(13/16) = 4/13
P(X=2|B) = P(X=2 and B)/P(B) = (3/4)(1/4)/(13/16) = 3/13
P(X=3|B) = P(X=3 and B)/P(B) = (3/4)^2(1/4)/(13/16) = 6/13
(b) The probability that your favourite character is eliminated in one of the first two episodes given the spoiler is P(X=1|B) + P(X=2|B) = 4/13 + 3/13 = 7/13.
(c) The expected value of X conditioned on the event B can be calculated using the formula E[X|B] = sum(x*P(X=x|B)) for all x in the support of X. Therefore, E[X|B] = 1*(4/13) + 2*(3/13) + 3*(6/13) = 20/13.
(d) The conditional PMF P X∣C (x) of X given the event C={X>2} can be calculated using the formula P(X=x|C) = P(X=x and C)/P(C). Since the event C={X>2} includes the events X=3, X=4, ..., we can calculate P(C) as the sum of the probabilities of these events: P(C) = P(X=3) + P(X=4) + ... = (3/4)^2(1/4) + (3/4)^3(1/4) + ... = (3/4)^2/(1-(3/4)) = 12/16. Therefore, the conditional PMF P X∣C (x) is given by:
P(X=3|C) = P(X=3 and C)/P(C) = (3/4)^2(1/4)/(12/16) = 1/3
P(X=4|C) = P(X=4 and C)/P(C) = (3/4)^3(1/4)/(12/16) = 1/4
...
(e) The conditional PMF P Y∣C (y) of Y given the event C={X>2} can be obtained by shifting the conditional PMF P X∣C (x) of X given the event C={X>2} by 2 units to the left. Therefore, P Y∣C (y) = P X∣C (y+2) for all y in support of Y. This conditional PMF belongs to the family of geometric random variables with parameter 1/4.
(f) The conditional mean E[X|C] can be calculated using the formula E[X|C] = sum(x*P(X=x|C)) for all x in the support of X. Since the conditional PMF P X∣C (x) is a geometric distribution with parameter 1/4 shifted by 2 units to the right, we can use the formula E[X|C] = 2 + 1/(1/4) = 6.
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Mr. Crenshaw sells vegetables from his truck farm. He has 16 bushels of
cherry tomatoes and wants to sell them in quart boxes. How many quarts
will he have for sale?
Answer:
64 quarts
Step-by-step explanation:
(16) / (1/4) = 64
9514 1404 393
Answer:
512 quarts
Step-by-step explanation:
A bushel is a dry measure equal to 32 dry quarts.
16 bushels = 16×(32 quarts) = 512 quarts
Mr. Crenshaw will have 512 quarts of cherry tomatoes for sale.
11. Find the missing number 1:2 = 3:
O A. 2
OB. 1
OC.3
OD. 6
Answer:
c. hhhhhhhhhhhhuhuuuuuuuuuuuuuuuuuuuuu
what is the circumference of a circle with a radius of 6cm
The circumferance of a circle with radius of 6cm is 37.68cm
To find:
Circumferance of a circle
Given:
Radius of circle is 6cm
Solution:
Circumference is similar to perimeter as it is the total length required to draw a circle.
Let c be the perimeter.
c = 2πr
or
c = πd
This depends on knowing the radius (r) or diameter (d).
For example, let's calculate it manually.
If r = 6 cm, the circumference in π is c = 2π(6) = 12π cm.
When expressed numerically, it is 37.7 cm after the decimal point is rounded off.
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i really need help please
determine the scale factor of the dilation, if OA = 8 and OA' = 32
Answer:
The scale factor is 4
Step-by-step explanation:
32(end product) divided by 8(original) = 4
Answer:
scale factor = 4
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, image to original, that is
scale factor = \(\frac{OA'}{OA}\) = \(\frac{32}{8}\) = 4
. Find the angle between the given vectors to the nearest tenth of a degree. u = <2, -4>, v = <3, -8> (2 points)
Answer:
6.0
Step-by-step explanation:
practice many times
write an absolute value equation representing all numbers x whose distance from 0 is 6 units
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
If M is the midpoint of PQ and X is the midpoint of PM then PX = a PQ
Answer:
found this i think this should help with your question
Step-by-step explanation:
QR has a midpoint at M(8,8). Point R is at (10, 10). Find the coordinates of point Q. Write the coordinates as decimals or integers.
Answer:
Point Q: ( 6, 6)
Step-by-step explanation:
(10, 10)
- 2 (8, 8)
( 6, 6)
Answer:
Point Q is at (6, 6).
Step-by-step explanation:
Segment QR has a midpoint M at (8, 8).
Point R is at (10, 10), and we want to determine the location of Point Q.
First, recall that the midpoint is given by the formula:
\(\displaystyle M=\Big(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\Big)\)
We will let R(10, 10) be (x₁, y₁). We are also given that M is at (8, 8). Therefore:
\(\displaystyle (8, 8)=\Big(\frac{10+x}{2}, \frac{10+y}{2}\Big)\)
This gives us two cases:
\(\displaystyle \frac{10+x}{2}=8\text{ and } \frac{10+y}{2}=8\)
Solve for each case. Multiply both sides by 2:
\(10+x=16\text{ and } 10+y=16\)
And we can subtract 10 from both sides:
\(x=6\text{ and } y=6\)
Therefore, Point Q is at (6, 6).
Please help I’ll mark you as brainliest if correct
Answer:
RQ / SQ
Step-by-step explanation:
We see in the figure that angles O and R are congruent, which is what the ) symbol by the two angles indicates.
We see that the first ratio starts with OQ and ends with PQ to give us OQ/PQ. Since R and O are congruent, the only ratio that would make the statement true is RQ/SQ.
5. Given the right triangle JKL, identify the locations of sides j, k, and I in relation to angle L
in terms of opposite, adjacent, and hypotenuse.
HELP
In relation to the angle L of the right triangle the sides are as follows:
l = opposite sidek = hypotenusej = adjacentHow to name the side of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees. The sides of a right angle triangle can be named according to the position of the angles in the right angle triangle.
The sides of a right triangle can also be solved by using Pythagoras's theorem or trigonometric ratios.
Let's identify the sides j, k, and I in relation to angle L in terms of opposite, adjacent, and hypotenuse.
Therefore,
l = opposite sidek = hypotenusej = adjacentThe hypotenuse side is the longest side of a right triangle.
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The graph below shows Amy’s distance from home on an afternoon hikeHow many miles from home was Amy after hiking for 3 hours?
4 miles
2 miles
1.5 miles
2.5 miles
Answer:
1.5 miles
Step-by-step explanation: