Answer:
The point on the vertical axis (y-axis) represents the y-intercept.
It represents the height over the sea level at the starting point of hiking
Step-by-step explanation:
From the graph
The y-axis represents the height above the sea level in feetThe x-axis represents the hours hiking→ The point on the vertical axis (y-axis) represents
The initial height above the sea levelThis point is the starting point of hikingIt called the y-intercept (0, 2000)→ Which means it represents their height at 0 hour
→ The real-world meaning of that point is:
They are 2000 feet above the sea level when they decided to start hikingThe point on the vertical axis (y-axis) represents the y-intercept.
It represents the height over the sea level at the starting point of hiking
A laundry basket has 24 socks in it. Six were navy, 10 were black, and the remaining were white, What is the probability of drawing...
Answer:
7/12 for white sock. 5/12 black sock. 1/4 navy
Step-by-step explanation:
(white) 24-10=14 so then 14/24=7/12
(black) 10/24=5/12
(navy) 6/24=1/4
A group of 40 students from your school is part of the audience for a TV game show. The total number of people in the audience is 130. What is the theoretical probability of 5 students from your school being selected as contestants out of 10 possible contestant spots? P(5 students selected) ______
Step 1
Ways to choose 5 from 40 multiplied by ways to choose 5 from the other 90 and number of ways to choose 10 in all from 130 as the denominator
Step 2:
Apply combination formula
\(^nC_r\text{ = }\frac{n!}{(n\text{ - r)!r!}}\)Step 3:
Ways to choose 5 from 40
\(^{40}C_5\text{ = }\frac{40!}{(40-5)!5!}\text{ = 658008 way}\)Step 4
ways to choose 5 from the other 90
\(^{90}C_5\text{ = }\frac{90!}{(90-5)!5!}\text{ = 43949268 ways}\)Step 5
ways to choose 10 in all from 130
\(^{130}C_{10}\text{ = }\frac{130!}{(130-10)!10!}\text{ = 266401260900000 ways}\)Step 6
Ways to choose 5 from 40 multiplied by ways to choose 5 from the other 90 and number of ways to choose 10 in all from 130 as the denominator
\(\begin{gathered} \text{Probability of selecting 5 students from your school} \\ =\text{ }\frac{\text{658008 }\times\text{43949268 }}{\text{266401260900000 }} \\ =\text{ 0.109} \end{gathered}\)Which number line shows the solution of 2x- 8>-4?
Answer:
The answer is B I just checked a math sumulater
Step-by-step explanation:
Calculate the work done in lifting a 15-lb flower pot to a height of 4 ft above the ground.
Answer:
A. 60 ft·lb
Step-by-step explanation:
You want the work done lifting a 15-lb flower pot to a height of 4 ft.
WorkWork is the product of force and distance. When the pot is raised 4 ft, the work done is ...
W = F·d
W = (15 lb)(4 ft) = 60 ft·lb
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Write the quotient and remainder when we divide (x^3 -4x^2 + 2x + 5) by (x - 2)
Answer:
Step-by-step explanation:
Sorry I can't explain how it is done. It is very difficult to explain on paper.
Write all the properties of a rectangle
Answer:
Congruent sides, 90 degree angles, 2 pares of parrelel lines.
Step-by-step explanation:
H.
Answer:
A rectangle is a quadrilateral.
The opposite sides are parallel and equal to each other.
Each interior angle is equal to 90 degrees.
The sum of all the interior angles is equal to 360 degrees.
Step-by-step explanation:
Hope this helps
12 C 6 B F 8 B 20 a. What is the length of segment A'A? Type the answer in the box below. length of segment A'A = 18 b. What is the length of segment B'B? Type the answer in the box below. length of segment B'B = I
The length of the segment A'A is 18 units
The length of the segment B'B is 8 units
What is the length of segment A'A?From the question, we have the following parameters that can be used in our computation:
The similar triangle
Using the ratio of corresponding sides, we have
(AA' + 12)/20 = 12/8
So, we have
AA' + 12 = 20 * 12/8
AA' + 12 = 30
Evaluate
AA' = 18
What is the length of segment B'B?Here, we have
(BB' + 6)/20 = 6/8
So, we have
BB' + 6 = 20 * 6/8
BB' + 6 = 15
Evaluate
BB' = 8
Hence, the length is 8 units
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why does the light bulb in a circuit turn on when the switch is closed? responses the switch changes the circuit from series to parallel. the switch changes the circuit from series to parallel. the switch changes the direction of the flow of electrons. the switch changes the direction of the flow of electrons. the switch absorbs the electrical energy. the switch absorbs the electrical energy. closing the switch completes the circuit, making it a closed circuit. closing the switch completes the circuit, making it a closed circuit.
A closed circuit is required to carry current. If there is a break anywhere in the path, the circuit will open and no current will flow, and the metal atoms in the wire will quickly become peaceful and electrically neutral.
Current flows in a closed circuit, but electrons are left behind in an open circuit.
Imagine a gallon of water flowing through an open pipe. Water flows for a short time, but stops when all the water comes out of the pipe. If you pump water into a closed system of pipes, it will continue to flow as long as you force it to move.
Closed circuit design:
breaks are often created by design. For example, a simple light switch opens or closes the circuit that connects the light to the power source. When building a circuit, it is recommended that the battery or other power source be disconnected when the circuit is not in use. Technically, this creates an open circuit. The
extinguished flashlight is an open circuit. In the flashlight shown here, the flat black button on the bottom left controls the internal switch. A switch is nothing more than two flexible metal strips in close proximity to each other. Push the black button all the way to the right to open the switch and turn off the flashlight. The switch in the open position disconnects the bulb from the battery, creating an open circuit.So, for the light bulb in a circuit turn on when the switch is closed.
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Calculate the area of circle of a radius 21am (Take 127)
Answer:
Area = 1,386 m²
Step-by-step explanation:
Radius (r) = 21 m
π
= 22/7
Area of a circle
= πr²
= 22/7 × 21 × 21
= 1,386 m²
____
Hope it helps ⚜
A recent survey found that 82% of college graduates believe their degree was a good investment (cnbc.com, February 27, 2020) Suppose a random sample of 100 college graduates is taken [You may find it useful to reference the z table] -t. What is the expected value and the standard error for the sampling distribution of the sample proportion? (Round final answer to 4 decimal places) 3 is the sampling distribution of the sample proportion approximately normal? OYes, because na 30 Oves, because no a 5 and 1-pla O No, because na 30 O No, because no a 5 and 25 What is the probability that the sample proportion is less than 0.80? (Round final answer to 4 decimal places.)
The expected value (mean) of the sample proportion is 0.82, and the standard error is approximately 0.0388. The sampling distribution of the sample proportion is approximately normal because the sample size is larger than 30. The probability that the sample proportion is less than 0.80 is approximately 0.4801.
To find the expected value (mean) and the standard error for the sampling distribution of the sample proportion, we can use the formulas:
Expected value (mean) of sample proportion (μ): p
Standard error of sample proportion (σp): sqrt((p * (1 - p)) / n)
Given that 82% of college graduates believe their degree was a good investment, the sample proportion (p) is 0.82. The sample size (n) is 100.
Expected value (mean) of sample proportion (μ):
μ = p = 0.82
Standard error of sample proportion (σp):
σp = sqrt((p * (1 - p)) / n)
= sqrt((0.82 * (1 - 0.82)) / 100)
≈ 0.0388
Therefore, the expected value of the sample proportion is 0.82 and the standard error is approximately 0.0388.
To determine if the sampling distribution of the sample proportion is approximately normal, we need to check if the sample size is large enough. The general rule of thumb is that the sample size should be at least 30 in order for the sampling distribution to be approximately normal. In this case, the sample size is 100, which is larger than 30, so we can conclude that the sampling distribution of the sample proportion is approximately normal.
To find the probability that the sample proportion is less than 0.80, we need to standardize the value using the z-score formula and consult the z-table.
z = (x - μ) / σp
= (0.80 - 0.82) / 0.0388
≈ -0.0515
Looking up the z-score of -0.0515 in the z-table, we find that the corresponding probability is approximately 0.4801.
Therefore, the probability that the sample proportion is less than 0.80 is approximately 0.4801.
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what is the equation of the line in slope-intercept form?
The linear function for this problem is defined as follows:
y = x + 50.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph touches the y-axis at y = 50, hence the intercept b is given as follows:
b = 50.
When x increases by 10, y also increases by 10, hence the slope m is given as follows:
m = 10/10
m = 1.
Hence the function is given as follows:
y = x + 50.
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write the sequence of natural numbers which leaves the remainder 3 on didvidng by 10
The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:
3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
If 200 copies are made for $6.00, then what is the unit rate price per copy? How much will 150 copies cost?
To calculate the unit race price per copy, we can divide $6.00 by 200 copies:
\(\frac{6}{200}=0.03\text{ usd}\)Each copy cost $0.03, to determine how much will cost 150 copies, we have to multiply the unit rate price by 150:
\(0.03\cdot150=4.5\text{ usd}\)150 copies will cost $4.5
what happens to the function y=3^x when x increases by 1
When x increases by 1 in the function y=3^x, the value of the function will be multiplied by 3.
How to determine what happens when x is increased by 1Given the function
y = 3^x
An increment in the value of x would make the expression be multiplied by 3
To see why this happens, we can compare the value of the function at x and x+1:
y(x+1) = 3^(x+1)
y(x+1) = 3^x * 3 (by the laws of exponents)
y(x+1) = 3 * 3^x
Therefore, we can see that when x increases by 1, the value of the function is multiplied by 3.
This means that the function grows very quickly as x increases.
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two nonadjacent angles formed by two intersecting lines are
Two non-adjacent angles formed by two intersecting lines are vertical angles.
How to classify angles given by intersecting lines?
Below you can see a graph with two intersecting lines where 4 angles are formed.
There are two pairs of angles.
Adjacent angles, such that their sum is equal to 180°.Non-adjacent angles (also called vertical angles).In the image:
1-22-33-44-1Are adjacent.
1-32-4Are vertical.
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Low Carb Diet Supplement, Inc., has two divisions. Division A has a profit of $230,000 on sales of $2,120,000. Division B is able to make only $34,700 on sales of $381,000.
Compute the profit margins (return on sales) for each division. (Input your answers as a percent rounded to 2 decimal places.)
Division A= ______%
Division B= ______%
___________________________________________________________________________________________________________________________________________________
Polly Esther Dress Shops Inc. can open a new store that will do an annual sales volume of $1,220,400. It will turn over its assets 2.7 times per year. The profit margin on sales will be 7 percent.
What would net income and return on assets (investment) be for the year? (Input your return on assets answer as a percent rounded to 2 decimal places.)
Net Income=
Return on Assets= __________ %
The profit margins (return on sales) for each division are approximately :Division A = 10.85%,Division B = 9.11% and The calculations for the year would be:Net Income = $85,428,Return on Assets = 18.9%.
To compute the profit margins (return on sales) for each division, we divide the profit by the sales and multiply by 100 to express the result as a percentage.
For Division A:
Profit Margin = (Profit / Sales) * 100
Profit Margin = ($230,000 / $2,120,000) * 100
Profit Margin ≈ 10.85%
For Division B:
Profit Margin = (Profit / Sales) * 100
Profit Margin = ($34,700 / $381,000) * 100
Profit Margin ≈ 9.11%
To calculate the net income and return on assets for Polly Esther Dress Shops Inc., we use the given information.
Net Income = Profit Margin * Sales
Net Income = 7% * $1,220,400
Net Income = $85,428
Return on Assets = Profit Margin * Asset Turnover
Return on Assets = 7% * 2.7
Return on Assets = 18.9%
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The average daily rainfall in Seattle for the
month of June has a mean absolute deviation
of 1.3 inches. What conclusion can you make
about the average daily rainfall in Seattle for
the month of June?
The conclusion regarding the MAD is that the average of the absolute values of the daily difference between the actual and expected rainfall is of 1.3 inches.
What is the mean absolute deviation(MAD) of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.Hence, the mean absolute deviation of 1.3 inches means that the average of the absolute values of the daily difference between the actual rainfall and the expected rainfall is of 1.3 inches.
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Question 5(Multiple Choice Worth 1 points)
(02.01 LC)
Which of the following tables represents a function?
its the first one
a system can only be a function if there is only one value of y for each value of x. there cannot be two or more values of y for one single value of x in a function.
∆QRS≅∆TUV
Name the angle or side that corresponds to with
Answer:
∠T
Step-by-step explanation:
∠T is the angle or side that corresponds to with
Kenji is saving money to buy a new bicycle that costs $125. So far he has saved his weekly allowance of $5 for the past 8 weeks. He also saved $35 from his birthday money. How much more money does Kenji need to save?
Answer:
$85
Step-by-step explanation:
$125 - $5 - $35 = $85
You and three of your friends have stock in a corporation and are interested in voting one of your friends in as a new director for the corporation. There are three director positions open, but your group only owns a minority of the shares of stock in the corporation. Do you think there is anything you and your friends can do to ensure that your candidate for the board of directors wins? no, unless you each agree in writing before the election to all vote the same way yes, if your candidate can get enough publicity no, a majority always wins yes, if the bylaws of the corporation allow you to pool your votes and vote them all for a single candidate
Yes, if the bylaws of the corporation allow you to pool your votes and vote them all for a single candidate, you and your friends can ensure that your candidate for the board of directors wins, even with a minority of shares.
The bylaws of a corporation outline the rules and procedures governing its operations, including the election of directors. In some cases, the bylaws may allow shareholders to pool their votes and vote them all for a single candidate. This means that if you and your friends collectively own enough shares to secure a majority of the votes, you can consolidate your voting power and ensure the victory of your candidate.
By pooling your votes, you can leverage your collective shares to outweigh the votes of other shareholders and increase the chances of your preferred candidate winning. This strategy enables you to overcome the disadvantage of holding a minority of shares and still have a significant impact on the election outcome.
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A and B are 2 cylinders that are mathematically similar the area of the cross section for cylinder A is 18cm squared. find out the volume of cylinder b
Answer:
Volume of cylinder B = 720 cm³
Step-by-step explanation:
Given:
A and B are similar cylinder
Height of cylinder B = 10 cm
Height of cylinder A = 5 cm
Area of the cross section for cylinder A = 18 cm²
Find:
Volume of cylinder B
Computation:
Area of the cross section for cylinder B = a
So,
(10/5)² = (a/18)
4 = a/18
Area of the cross section for cylinder B = 72 cm²
Volume of cylinder B = Area of the cross section for cylinder B x Height of cylinder B
Volume of cylinder B = 72 x 10
Volume of cylinder B = 720 cm³
CAN SOME ONE PLEASE ANSWER THIS RIGHT THANK YOU
m > 17.2
What word sentence represents this inequality?
1: A number is less than 17.2
2: A number is greater than 17.2
3: A number is at most 17.2
Answer:
2:A number is greater than 17.2
Step-by-step explanation:
the ">" in the inequality represents is greater
so the m> means m is greater than... and then the 17.2 means m is greater than 17.2. The way I learnt it was to imagine the ">" sign is like a crocodile, it wants the bigger number. So the ">" being towards the "m" shows that m is the bigger number.
Answer:
2
Step-by-step explanation:
FILL THE BLANK. in an instruction like: z = x y, the symbols x, y, and z are examples of _____.
In an instruction like "z = x y," the symbols x, y, and z are examples of variables.
Variables are placeholders that represent unknown or changing values in mathematical expressions or equations. They allow us to generalize mathematical relationships and solve problems using algebraic methods.
In mathematics, variables are symbols that represent unknown or varying quantities. They are used to express mathematical relationships, equations, and formulas.
In the given instruction "z = x y," the symbols x, y, and z are variables.
In this case, x and y represent the input values, and z represents the output or result of the mathematical operation defined by the equation.
Variables are used extensively in algebra to solve equations, manipulate expressions, and analyze mathematical relationships. They enable us to express and solve problems symbolically, without knowing the specific values of the variables.
By assigning specific values to variables, we can evaluate expressions, solve equations, and find solutions to mathematical problems.
Variables can represent a wide range of quantities, including numbers, measurements, constants, or even abstract concepts. They provide flexibility and generality in mathematical modeling and problem-solving.
By using variables, we can establish connections between different mathematical quantities and derive meaningful conclusions based on their relationships.
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Five stores are offering discounts during their back-to-back sales. What is the correct order from greatest to least?Select one:A. 0.22, 15%, 1/7, 12%, 1/9B. 0.22, 15%, 12%, 1/7, 1/9C. 0.22, 12%, 1/9, 1/7, 15%D. 12%, 1/9, 0.22, 1/7, 15%
A
1) For this problem, let's visualize the numbers. And think of it as discounts, for instance.
0.22, 15%=0.15 , 1/7=0.14 12%=0.12 1/9=0.11
So, the greatest (discount) to least (discount)order row of numbers is this. We can rewrite those numbers as:
22%, 15%, 14%, 12%, 11%
Then, the answer is A
Classify this polynomial 3x^2-7x + 5
There are a few ways to classify a polynomial, I will just write the answer that I think your teacher wants you to do.
This has 3 terms, so its a trinomial.
x is raised to a degrees of 2, so its a degree 2 polynomial.
Therefore this polynomial is a degree two trinomial.
Any questions just ask me in the comments and I will answer.
Which fraction rounds to 5? A. 5 2/3 B. 5 1/2 C. 5 9/20 D. 4 9/20
the fraction that rounds to 5 is option B, 5 1/2.
What is a fraction?
If the numerator is bigger, it is referred to as an improper fraction and can also be expressed as a mixed number, which is a whole-number quotient with a proper-fraction remainder.
Any fraction can be expressed in decimal form by dividing it by its denominator. One or more digits may continue to repeat indefinitely or the result may come to a stop at some point.
To round a fraction to 5, we need to find the fraction that is closest to 5. Therefore, we need to look at the fractional parts of each option and find which one is closest to 1/2.
A. 5 2/3 = 17/3, which is closer to 6 than to 5.
B. 5 1/2 = 11/2, which is exactly halfway between 5 and 6, so it rounds to 5.
C. 5 9/20 = 259/20, which is closer to 6 than to 5.
D. 4 9/20 = 209/50, which is closer to 4 than to 5.
Therefore, the fraction that rounds to 5 is option B, 5 1/2.
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a full-cut round brilliant diamond with a 6.50 mm girdle diameter weighs about
That a full cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat.
carat weight is determined by a combination of a diamond's size and density. A diamond's size is measured by its diameter, which is the distance across the widest part of the diamond, known as the girdle. Therefore, a diamond with a larger girdle diameter will generally weigh more than a diamond with a smaller diameter, assuming all other factors are equal.
the weight of a diamond can be estimated based on its girdle diameter, and a full-cut round brilliant diamond with a 6.50 mm girdle diameter typically weighs around 1.00 carat. However, it's important to note that other factors, such as depth, cut, and clarity, can also affect a diamond's weight and value.
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Consider the statement: Subtract 28 from t and multiply the difference by 4.
Which expression represents the statement above?
A. 4(28*t)
B.t-28*4
C.28-t*4
D.4(t-28)
Answer:
D!
Step-by-step explanation:
We need to obviously subtract, only C and D do thatt. But, you don't multiple t or 28 by 4. You need to multiply the difference, so you need parentheses!
Volume = 4,410 yd
30 yd
radius =
Answer:
Radius = 11.85yd
Step-by-step explanation:
Volume of a Cone formula: V = πr²(h/3)
We know that;
V = Volume
r = radius
π = pi (this is a sign located on your calculator)
h = height
We are given that;
V = 4,410
r = unknown
h = 30
Let's substitute the values in:
=> V = πr²(h/3)
=> 4,410 = πr²(30/3)
=> 4,410 = πr²(10)
=> 4,410 / 10 = πr²
=> 441 = πr²
=> 441 / π = r²
=> 140.37 = r²
=> \(\sqrt{140.37}\) = r
=> 11.85 = r
Therefore, the radius of the cone = 11.85yd
Hope this helps!