Answer:1 16
Step-by-step explanation:
Guided Practice
1. A manufacturer gets a shipment of 600 batteries of which 50 are
defective. The quality control manager tests a random sample of
30 batteries in each shipment. Simulate the test by generating random
numbers between 1 and 600. How well does your sample represent the
shipment? Explain. (Explore Activities 1 and 2)
Answer:
18.33
Step-by-step explanation:
600 -50 ÷ 30
550 ÷30 = 18.333
If n represents a number, write an expression for one half of three less than a number
The figure to the right shows the distance-time graph for a muscle car accelerating from a standstill. Use the information in the figure to answer parts (a) and (b). The table below lists the coordinates of the points.
The acceleration of the car is 8 m/s^2.
The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.
Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.
(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m
(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2
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Jerry was paid $47.00 for 4 hours of work. Leigh-Anne received $84.35 for 7 hours. Who had the greater rate of pay? By how much?
Answer:
Jerry was paid $10.75 an hour and Leigh-Anne was paid $12.05 hourly
Step-by-step explanation:
not sure how I would solve this
In the town of Centralburg (Figure 1), which is laid out in a uniform block grid, the grocery store is three blocks East and four blocks North of the post office. Which of the following is a correct equation for the quantities represented in this scenario?
Answer:
tan(θ)= dn/de
θ=arctan(dn/de)
Step-by-step explanation:
You are applying for an 80/20 mortgage to buy a house costing $100,000.
The first (80%) mortgage has an interest rate of 4.75%, and the second (20%)
mortgage has an interest rate of 7.525%. Both the first mortgage and the
second mortgage are 30-year fixed-rate mortgages. What will the total
amount of the mortgage be?
Answer:
$200,703.60
Step-by-step explanation:
this is the is the answer, i used a tvm solver
1) Find the ratios for sin A, cos A, and tan A for the triangle below.
C
6
A
sin A=
8
10
COS A =
B
tan A =
Answer:
Sin A = 8/10 or 4/5
Cos A = 6/10 or 3/5
Tan A = 8/6 or 4/3
Angle x and 56 are complementary. What is the value of x?
149
34
56
90
Answer:
34°
Step-by-step explanation:
90-56=34°
__________
we have the number of rinks resurfaced by zzz zambonis is equal to the rate for zzz zambonis times the time. we want the time for 1\,\text{rink}1rink1, start text, r, i, n, k, end text , and we want that time to be less than or equal to 5\,\text{minutes}5minutes5, start text, m, i, n, u, t, e, s, end text. therefore: 1\,\text{rink}
we want that time to be less than equation or equal to 5 minutes start text, m, i, n, u, t, e, s, end text. therefore: 1\(5minutes\)
Rate for ZZZ Zambonis × Time ≤ 5 minutes
Time ≤ 5 minutes/Rate for ZZZ Zambonis
To solve for the time needed to resurface one rink, we first need to set up an equation. We know that the number of rinks resurfaced by ZZZ Zambonis is equal to the rate for ZZZ Zambonis multiplied by the time. We want the time for 1 rink to be less than or equal to 5 minutes, so we need to solve for time in the equation. We can do this by dividing both sides of the equation by the rate for ZZZ Zambonis, resulting in the equation Time ≤ 5 minutes/Rate for ZZZ Zambonis. This equation gives us the maximum time needed to resurface one rink.
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HURRY Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
Answer: (In order)
25/4 / 6 1/4 = 1
3 1/7 / 2/7 = 11
5/4 / 1/4 = 5
11 1/4 / 9/4 = 5
8 1/4 / 3/4 = 11
3 1/3 / 10/3 = 1
Step-by-step explanation:
If the time is between 8:00 a.m. and 3:00 p.m., then the bank is open.
If the bank is open, then people may make withdrawals or deposits.
Therefore, if …
Therefore, if the time is between 8:00 a.m. and 3:00 p.m., then people may make withdrawals or deposits at the bank.
This conclusion is based on the given premises that the bank is open during the time between 8:00 a.m. and 3:00 p.m. and that when the bank is open, people may make withdrawals or deposits. By combining these premises with modus ponens (a valid form of deductive reasoning), we can infer that if the time is within the bank's operating hours, then people may make withdrawals or deposits at the bank.
Its about fractions please help me
The times the 7 in the Susan's scores is greater than Sarah's score is 100 times
How many times is the 7 in the scores greater than the otherFrom the question, we have the following parameters that can be used in our computation:
Susan = 87, 325
Sarah = 46, 175
The values of the 7's in their scores are
Susan = 7, 000
Sarah = 70
So, we have
Number of times = 7000/70
Evaluate
Number of times = 100
Hence, the number of times is 100
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How to solve a problem.
a) \(\log \left(\dfrac{A^3B}{C} \right) = 3\log A + \log B - \log C\)
b) \(\log \left(\dfrac{\sqrt{A}}{B^2} \right) = \frac{1}{2}\log A - 2\log B\)
A restaurant manager determined that about 12 of all customers would wait 20 minutes or more for a table. Which simulation could NOT be used to answer questions about whether a customer would wait?
Answer:
spinner green or blue
Step-by-step explanation:
Flipping a coin is 1/2 probability
Rolling a die and getting a number less than 4 is 1/2 probability
spinner green or blue is (4/6) = 2/3
Marbles is 1/2
Lee is a teacher at a local high school who wanted to assess whether or not dogs physically resemble their owners enough for people to be able to correctly match a dog to their owner better than if just guessing. Lee, who is also a dog owner, showed pictures of two dogs to her class of 16 students. One photo was of the teacher's dog (Yoda) and the other photo was of a dog the teacher had never met. The students were asked to guess which dog was actually the teacher's. If dogs do not physically resemble their owners, the students would get a correct match with probability 0.50. It turned out that 14 of the 16 students correctly picked out the teacher's dog.
Does it appear that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing?
Answer:
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
Step-by-step explanation:
From the question we are told that
The sample size is n = 16
The population proportion = 0.5
The number that of students that picked out the teachers dog is k = 14
Generally the sample proportion is mathematically represented as
\(\^ p =\frac{k}{n}\)
=> \(\^ p =\frac{14}{16}\)
=> \(\^ p = 0.875 \)
The null hypothesis is \(H_o : p = 0.5\)
The null hypothesis is \(H_o : p > 0.5\)
Generally the test statistics is mathematically represented as
\(z = \frac{\^ p - p }{\sqrt{ \frac{p(1- p )}{n} } }\)
\(z = \frac{0.875 - 0.50 }{\sqrt{ \frac{0.50 (1- 0.50 )}{16} } }\)
\(z = 3\)
Generally the p-value is mathematically represented as
\(p-value = P(Z > 3)\)
From the z table the probability of Z>3 is mathematically represented as
\(P(Z > 3) = 0.0013499\)
So
\(p-value = 0.0013499 \)
Let assume the level of significance is \(\alpha = 0. 05\)
Generally from the value obtained we see that \(p-value < \alpha\) Hence
The decision rule is
Reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the population proportion of people who can correctly match a dog to their owner (out of two options) is better than just guessing
If DE=6x what is the perimeter of the triangle in terms of x?
A 6
B 18
C 18x
11111111+2222222+5555555+8
Answer:
18888896
Step-by-step explanation:
To answer this question we can break it down and do each addition separately.
11111111 + 2222222 = 1333333313333333 + 5555555 = 1888888818888888 + 8 = 18888896Our answer is 18888896!
Hope this helps, have a lovely day! :)
Find the slope of identity function using points (0,0) and ( 3,3) then from two points (0,0) and (-3,-3). Is there any change in its slope?
There is no change in its slope as initial and final slope is 1.
What is slope?
In arithmetic, the slope or gradient of a line may be a variety that describes each the direction and therefore the abruptness of the line.
Main body:
formula for slope with two points form is =
y -y₁ =( y₂-y₁ /x₂-x₁ )(x - x₁)
according to question ,
points are (0,0) and (3,3)
y - 0 = (3-0/3-0)(x -0)
y = 3/3 *x
y = x
hence slope of line is 1.
Now points are (0,0) and (-3,-3).
y - 0 = (-3-0/-3-0)(x -0)
y =- 3/-3 *x
y = x
hence slope of line is 1.
So there is no change in its slope.
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Is this correct? If not can I please get the answer?!?!
what is 7.09 Divided by 101
Answer:
0.070198..
Step-by-step explanation: its an on going number so make sure to put the line on top on the 0198
Please answer both question fully.
Step-by-step explanation:
Part AAngle measures:
a = x = z = 51° (as vertical angles and corresponding angles)b = d = y = w = 180° - 51° = 129° (as supplementary angles and corresponding angles)Part BSupplementary angles for a linear pair and sum to 180°.
Examples are:
a and b or a and d orx and y etc.Solution:
Given:
An angle which measures 51°Using the given measure of an angle, we can identify all the angles.
a° = 51° (Vertically opposite angles)b° = 180 - 51 = 129° (180° angle)d° = b° = 129° (180° angle)w° = 129 (Alternate inner angles)x = a = 51° (Alternate inner angles)z = x = 51° (Vertically opposite angles)w = y = 129° 9 (vertically opposite angles)We can tell that:
a = x = z = 51°b = d = w = y = 129°Supplementary angles are pairs of angles that sums up to 180°.
Example of supplementary angle:
∠a and ∠b are supplementary angles because they sum up to 180°.A body is floating in seawater with 2/3 of its volume above the surface. The weight of the displaced water is?
Answer:
The weight of the displaced water is the weight of the body
Step-by-step explanation:
In situations like this, the volume of the displaced water is not important.
However, it should be noted that when a body is immersed (fully or partially) in a liquid, the weight of the displaced liquid is equal to the weight of the body immersed in the liquid.
Since the weight of the body is not given, I'll conclude that the displaced water has the same weight as the body floating on the water.
hi guys, i have a percentage question that I am not sure.
Here is the question: A phone costing £500 is in a sale. The sale price is £400 what percentage off is this?
Answer:
20 percent
Step-by-step explanation:
\(\frac{400}{500}\)\(=0.8\)
\(1-0.8=0.2\)
This means that 20 percent off of 500 is 400.
Answer:
The answer should be 20%
Step-by-step explanation:
Hope this helps
(a) Compute x1, using the formula above, in four-digit arithmetic with chopping. (b) Suppose that the true four digit solution is Xi = 0.0054. Compute the relative and absolute error of your above approximation.
(a) Value of x1 in four-digit arithmetic with chopping is 7.82.
(b) The relative error is 1418.52 and absolute error is 7.8146 of our above approximation
(a) Consider the equation -22x2 - 140x + 250 = 0. Using the quadratic formula, the smaller root (x1) can be calculated as:
x1 = (-(-140) ± \(\sqrt{((-140)^2 - 4(-22)(250)))}\)/(2(-22))
x1 = (140 ± \(\sqrt{(140^2 + 22 * 250 * 4))}\)/(-44)
x1 = (140 ± \(\sqrt{(19600 + 22000))}\)/(-44)
x1 = (140 ± \(\sqrt{41600}\) )/(-44)
x1 = (140 ± 204)/(-44)
x1 = (140/44 ± 204/44)
x1 = (140/44 + 204/44)
x1 = 344/44
x1 = 7.82 (rounded to two decimal places with chopping)
(b) If the calculated value of x1 is x1_calc = 7.82, the relative error can be calculated as:
Relative error = |(x1_calc - Xi)/Xi|
Relative error = |(7.82 - 0.0054)/0.0054|
Relative error = 1418.5185185185185%
The absolute error can be calculated as:
Absolute error = |x1_calc - Xi|
Absolute error = |7.82 - 0.0054|
Absolute error = 7.8146
Correct Question :
Recall that for any quadratic equation of the form ax2 – bx+c= 0 with a,b,c> 0, the quadratic formula gives us that the smaller root is: x1 = b=\(\sqrt{b^2-4ac}\) / 2a Consider the quadratic equation -22 – 140x+== 0.
(a) Compute x1, using the formula above, in four-digit arithmetic with chopping.
(b) Suppose that the true four digit solution is Xi = 0.0054. Compute the relative and absolute error of your above approximation.
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The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
1). Universal set = {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6}. Set A consists of all the even integers. Find the complement of set A.
2) List all the subsets of the set
{flower, tree}
Answer:
100
Step-by-step explanation:
suma todo para dar el resultado
Simplify (w3)4•(w5)2
Answer:
\(w^{22}\)
Step-by-step explanation:
\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)
in a class 3/4 of the children are girls what percentage are boys
Answer:25%
because 3/4ths equals 75% and the rema 1/4th which are boys equal 25%
Step-by-step explanation:
Answer:
boys are 25% in the classroom
Step-by-step explanation:
1/4 is 25%
1÷4=.25
I’m not good at these
That's quadratic.
y=x^2
It's a very simple version of y=ax^2+bx+c. Just in this case, a = 1, b = 0 and c = 0.