Example for Table 1:
y = x + 6
So if X=-8
1st Row -8+6=-2
2nd Row -4+6=2
3rd Row -2+ 6=4
4th Row -9+6=-3
5th Row 2+6=8
So for any table, the X in the table rule is the X that you are working on.
Answer:
i got you:
1) -2, 2, 4, -3, 8
2) 37, -3, 29, -67, -75
3) -36, 4, -4, -20, -12
4) -10, 6, -4, 8, 4
5) -2, 18, -16, 6, -10
6) -4, -15, 2, 0, -6
7) -25, 23, 5, 29, 11
8) 24, 38, -60, 3, 10
9) 2, 4, 9, -1, -3
10) -14, -8, -15, -10, -16
11) 9, 18, -21, -3, -24
12) -10, 35, -73, 71, -19
hope that helps
Step-by-step explanation:
write a fraction of the probability of rolling a multiple two
Answer: 1/2
Step-by-step explanation:
there are 6 sides all together and 3 of those are multiples of two. this fraction is 3/6 but that can be simplified to 1/2
Answer:
1/2
Step-by-step explanation:
For this we will be assuming a die size of six. With that in mind, all even numbers are divisible by two. There are a total of three numbers on a six sided die, those being two, four, and six. We then put this number over the total possibilities, which would be six. It is good form to simplify, which we can. We take three out from our 3/6 to leave us with 1/2.
You had 100$ in your bank account and deposited (put in) 10.50 more each week. How long would it take to have $200 in the bank?
Answer:
9.523
Step-by-step explanation:
Define The Fundamental Counting Principle: Unit 2: Probability Lesson 2: Counting Our Way to Probabilities Describe what it means to count with replacement and without replacement: You need a new password for an email account. The requirements are that the password needs to be 8 characters long considering of 5 lowercase letters followed by 3 numbers. If you are allowed to use characters more than once (with replacement), how many different possibilities are there for a password? (Use an image to help you understand). Let's use the same example as above, only this time you may only use each letter or number one time. That is without replacement or repetition.
Similarly, there are 10 choices for the first number, 9 choices for the second number, and 8 choices for the third number. Therefore, the total number of possibilities is\(26 × 25 × 24 × 23 × 22 × 10 × 9 × 8 = 14,776,320\) possibilities.
Fundamental Counting Principle and how to count with and without replacement.The Fundamental Counting Principle (FCP) states that if there are m ways to perform an event and n ways to perform a second event, then there are m × n ways to perform both events. For example, suppose there are 2 shirts, 3 pants, and 4 pairs of shoes in your closet. Using the FCP, you can calculate the number of outfit combinations: 2 × 3 × 4 = 24.If you are allowed to use characters more than once (with replacement), the number of different possibilities for a password can be calculated by multiplying the number of choices for each character type. There are 26 lowercase letters, so there are 26 choices for the first letter, 26 choices for the second letter, and so on. Similarly, there are 10 digits, so there are 10 choices for each number.
Therefore, the total number of possibilities is \(26 × 26 × 26 × 26 × 26 × 10 × 10 × 10 = 26^5 × 10^3 = 11,881,376,000\) possibilities.If you may only use each letter or number one time, then you cannot repeat any choices. Therefore, the number of possibilities is reduced. There are 26 choices for the first letter, 25 choices for the second letter (since one has already been used), and so on.
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The city would like to install a concrete walkway between the soccer field and
restaurant. They have budgeted $4,000 for this walkway. The concrete needed to create the walkway costs $315 per mile but the city is getting a bulk discount of $125 off every 3 miles. Any additional concrete that is not part of a 3-mile bundle will be charged the full price. Determine the price of the walkway. Is the city is over or under budget?
Please help thank you!!!! I will give brainlest with explanation
Answer:
i looked up the whole question and this popped up
pay between $6 and $12 persquarw foot
sorry if its wrong. Good day
What is the range of the function _____ ?
Answer: i think it is C
Step-by-step explanation: brainiest please?
What is the slope of the line that passes through the points (5, 2) and (3,-1)?
HELP ME ILL GIVE YALL BRAINLIESST
Answer:
615.44 cm^2
Step-by-step explanation:
here r, radius is 14 cm and π as 3.14
area of circle = π\(r^{2}\)
3.14 * 14^2
3.14 * 14 * 14
615.44cm^2
Answer:
The area of the hubcap is about \(\boxed{\tt{615.44}}\) cm².
Step-by-step explanation:
Solution :Here's the required formula to find the area of hubcap :
\(\longrightarrow{\pmb{\sf{Area_{(Circle)} = \pi{r}^{2}}}}\)
➝ π = 3.14 ➝ r = radiusSubstituting all the given values in the formula to find the area of hubcap :
\(\longrightarrow{\sf{Area_{(Hubcap)} = \pi{r}^{2}}}\)
\(\longrightarrow{\sf{Area_{(Hubcap)} = 3.14{(14)}^{2}}}\)
\(\longrightarrow{\sf{Area_{(Hubcap)} = 3.14{(14 \times 14)}}}\)
\(\longrightarrow{\sf{Area_{(Hubcap)} = 3.14{(196)}}}\)
\(\longrightarrow{\sf{Area_{(Hubcap)} = 3.14 \times 196}}\)
\(\longrightarrow{\sf{Area_{(Hubcap)} = 615.44}}\)
\(\star{\underline{\boxed{\sf{\purple{Area_{(Hubcap)} = 615.44 \: {cm}^{2}}}}}} \)
Hence, the area of hubcap is 615.44 cm².
\(\rule{300}{2.5}\)
with regard to a regression-based forecast, the standard error of the estimate gives a measure of part 2 a. the time required to derive the forecast equation. b. the time period for which the forecast is valid. c. the variability around the regression line. d. the maximum error of the forecast.
The standard error of the estimate gives a measure of the variability around the regression line.
A regression line represents the relationship between an independent and a dependent variable in a statistical study. In this the standard error of the estimate represents the variation from the theoretical value which is on the regression line. So it gives the measure of the variability around the regression line. It is measured from the distance between the values on the regression line and the value of the estimate.
When the standard error is zero, the study is said to be perfect( which is rare in real cases). So a range of error of (0.8-0.9) is considered as acceptable. So to make the estimate precise, standard error should be the minimum.
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I’ll really appreciate it if you help me out on this one .
Answer:
Q is not a function
Step-by-step explanation:
suppose you used teh equation for the line of best fit to predict the number of hot apple ciders that would be sold on a day when the high temperature is 15F. How far off would you be from the actual data
If the tire height is 5.2 in. and the rim diameter is 17 in., what is the tire diameter?
Answer:
Circumference = (3.14)(15) = 47.1 in
Step-by-step explanation:
If a shoebox measures 6 cm high, 7 cm wide, 20 cm long, what is its volume?
Answer:
420cm cubed
Step-by-step explanation:
The volume of a shoebox will be 840 cubic cm when it measures 6 cm high, and 7 cm wide.
What is the volume of the cuboid?The volume of a cuboid is equal to the product of the length, width, and height of a cuboid.
The volume of a cuboid is length × breadth× height
We have been given that a shoebox measures 6 cm high, 7 cm wide, and 20 cm long.
The volume of a shoebox = length × breadth× height
Here length = 20 cm,
breadth = 7 cm
height = 6 cm
Substitute the values in the above formula,
The volume of a shoebox = 20 × 7 × 6
Apply the multiplication operation,
The volume of a shoebox = 840 cubic cm
Therefore, the volume of a shoebox will be 840 cubic cm.
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CC has the following beginning balances in its stockholders' equity accounts on January 1, 2012: Common Stock, $100,000; Additional Paid-in Capital, $4,100,000; and Retained Earnings, $3,000,000. Net income for the year ended December 31, 2012, is $800,000. Court Casuals has the following transactions affecting stockholders' equity in 2012:
May 18 Issues 25,000 additional shares of $1 par value common stock for $40 per share.
May 31 Repurchases 5,000 shares of treasury stock for $45 per share.
July 1 Declares a cash dividend of $1 per share to all stockholders of record on July 15. Hint: Dividends are not paid on treasury stock.
July 31 Pays the cash dividend declared on July 1.
August 10 Reissues 2,500 shares of treasury stock purchased on May 31 for $48 per share.
Taking into consideration all the entries described above, prepare the statement of stockholders' equity for the year ended December 31, 2012.
Total stockholders’ equity 7,800,000
Statement of stockholders’ equity for CC for the year ended December 31, 2012:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
Total stockholders’ equity 7,800,000
Explanation:The given information is as follows:Common Stock on January 1, 2012 = $100,000Additional Paid-in Capital on January 1, 2012 = $4,100,000
Retained Earnings on January 1, 2012 = $3,000,000Net Income for the year ended December 31, 2012 = $800,000Cash Dividend Declared on July 1 and paid on July 31 = $200,000
To prepare the statement of stockholders’ equity for the year ended December 31, 2012, we will begin by preparing the opening balances of each of the equity accounts. We will then add the net income to the retained earnings account.
The closing balance for retained earnings is then computed by subtracting the cash dividend declared and paid from the total retained earnings. Finally, the total stockholders' equity is calculated by adding the balances of all the equity accounts.
Calculations:Opening balance of common stock = $100,000
Opening balance of additional paid-in capital = $4,100,000
Opening balance of retained earnings = $3,000,000
Net Income for the year ended December 31, 2012 = $800,000
Retained earnings (Opening Balance) = $3,000,000
Add: Net Income for the year ended December 31, 2012 = $800,000
Total retained earnings = $3,800,000Less: Cash Dividend Declared on July 1 and paid on July 31 = $200,000Retained earnings (Closing balance) = $3,600,000
Total stockholders’ equity = Common Stock + Additional Paid-in Capital + Retained Earnings (Closing balance) = $100,000 + $4,100,000 + $3,600,000 = $7,800,000
Therefore, the statement of stockholders’ equity for CC for the year ended December 31, 2012, is as follows:Particulars Amount ($)
Common Stock 100,000
Additional Paid-in Capital 4,100,000
Retained Earnings (Opening Balance) 3,000,000
Add: Net Income for the year ended December 31, 2012 800,000
Total retained earnings 3,800,000
Less: Cash Dividend Declared on July 1 and paid on July 31 (200,000)
Retained earnings (Closing balance) 3,600,000
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FASTTTTT PLEASEEEEEEEEEEE
Suppose f'(2) = e- Evaluate: fe-- " sin(2f(x) + 4) dx +C (do NOT include a constant of integration)
If \(f'\left(x\right)=e^{-x^9}\) than solution of integeration is (-1/2)cos(2e^{-x^9}+4)sin(2e^{-x^9}+4) + C.
Let's start by using the substitution u = 2f(x) + 4. Then du/dx = 2f'(x) = 2e^{-x^9} and dx = du/2e^{-x^9}. We can substitute these into the integral to get:
∫ e^{-x^9}sin(2f(x)+4)dx = ∫ sin(u) * e^{-x^9} * (du/2e^{-x^9}) = (1/2) ∫ sin(u) du
Now we can integrate by parts. Let u = sin(u) and dv = du. Then du/dx = cos(u) and v = -cos(u). We can substitute these into the integral to get:
(1/2) ∫ sin(u) du = (1/2)(-cos(u)sin(u)) + C
Substituting back u = 2f(x) + 4, we get:
(1/2)(-cos(2e^{-x^9}+4)sin(2e^{-x^9}+4)) + C
Therefore, the answer is (-1/2)cos(2e^{-x^9}+4)sin(2e^{-x^9}+4) + C.
The complete question must be:
suppose \(f'\left(x\right)=e^{-x^9}\)
Evaluate: \(\int \:e^{-x^9}sin\left(2f\left(x\right)+4\right)dx\)=_____+c(do NOT include a constant of integration)
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3.In an online quiz, positive points are awarded for a correct answer, and negative
points are awarded for an incorrect answer. Elena answers 10 questions correctly and
4 incorrectly and scores 42 points. Kiran answers 6 questions correctly and 8 incorrectly and scores 14 points.
a. Write a system of equations that describes Elena's and Kiran's scores. Usex to
represent the number of points for a correct answer and y to represent the
number of points for an incorrect answer.
that
X represents number of points and y represents incorrect answer
The system of equations can be written as:-
10x + 4y = 42
6x + 8y = 14
What is a system of equations?A system of equations, also known as a set of simultaneous equations or an equation system, is a finite set of equations for which we sought common solutions in mathematics. A system of equations can be classified in the same way that a single equation can.
Given that in an online quiz, positive points are awarded for a correct answer, and negative points are awarded for an incorrect answer. Elena answers 10 questions correctly and 4 incorrectly and scores 42 points. Kiran answers 6 questions correctly and 8 incorrectly and scores 14 points.
The system of equations can be written as:-
10x + 4y = 42
6x + 8y = 14
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the degenerative disease osteoarthritis most frequently affects weight-bearing joints such as the knee. an article presented the following summary data on stance duration (ms) for samples of both older and younger adults. age n sample mean sample sd older 28 801 117 younger 16 780 72 assume that both stance duration distributions are normal. a) calculate and interpret a 99% confidence interval (ci) for true average stance duration among elderly individuals. b) carry out a test of hypotheses to decide whether true average stance duration is larger among elderly individuals than among younger individuals. c) construct a 95% ci for the difference in means and compare results to part(b).
We are 99% confident that the true average stance duration among elderly individuals lies within the range of 744.56 ms to 857.44 ms.
To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test. The null hypothesis (H0)
Using the t-test, we compare the means and standard deviations of the two samples and calculate the test statistic
a) To calculate a 99% confidence interval for the true average stance duration among elderly individuals, we can use the sample mean, sample standard deviation, and the t-distribution.
Given:
Older adults: n = 28, sample mean = 801, sample standard deviation = 117
Using the formula for a confidence interval for the mean, we have:
Margin of error = t * (sample standard deviation / √n)
Since the sample size is relatively large (n > 30), we can use the z-score instead of the t-score for a 99% confidence interval. The critical z-value for a 99% confidence level is approximately 2.576.
Calculating the margin of error:
Margin of error = 2.576 * (117 / √28) ≈ 56.44
The confidence interval is then calculated as:
Confidence interval = (sample mean - margin of error, sample mean + margin of error)
Confidence interval = (801 - 56.44, 801 + 56.44) ≈ (744.56, 857.44)
b) To test whether the true average stance duration is larger among elderly individuals than among younger individuals, we can perform a one-tailed independent samples t-test.
The null hypothesis (H0): The true average stance duration among elderly individuals is equal to or less than the true average stance duration among younger individuals.
The alternative hypothesis (Ha): The true average stance duration among elderly individuals is larger than the true average stance duration among younger individuals.
. With the given data, perform the t-test and obtain the p-value.
c) To construct a 95% confidence interval for the difference in means between older and younger adults, we can use the formula for the confidence interval of the difference in means.
Given:
Older adults: n1 = 28, sample mean1 = 801, sample standard deviation1 = 117
Younger adults: n2 = 16, sample mean2 = 780, sample standard deviation2 = 72
Calculating the standard error of the difference in means:
Standard error = √((s1^2 / n1) + (s2^2 / n2))
Standard error = √((117^2 / 28) + (72^2 / 16)) ≈ 33.89
Using the t-distribution and a 95% confidence level, the critical t-value (with degrees of freedom = n1 + n2 - 2) is approximately 2.048.
Calculating the margin of error:
Margin of error = t * standard error
Margin of error = 2.048 * 33.89 ≈ 69.29
The confidence interval is then calculated as:
Confidence interval = (mean1 - mean2 - margin of error, mean1 - mean2 + margin of error)
Confidence interval = (801 - 780 - 69.29, 801 - 780 + 69.29) ≈ (-48.29, 38.29)
Comparison with part (b): In part (b), we performed a one-tailed test to determine if the true average stance duration among elderly individuals is larger than among younger individuals. In part (c), the 95% confidence interval for the difference in means (-48.29, 38.29) includes zero. This suggests that we do not have sufficient evidence to conclude that the true average stance duration is significantly larger among elderly individuals compared to younger individuals at the 95% confidence level.
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The sheet of metal has dimensions 56 cm by 33 cm. It sis melted down
and recast into discs of the same thickness and radius 7 cm. How many
disces will be cast ?
Answer:
12 discs
Step-by-step explanation:
Sheet metal has dimensions of 56 cm by 33 cm. This indicates that it is a rectangle.
A_rectangle = length × width
A_rect = 56 × 33
A_rect = 1848 cm²
It is now melt down and recast into disc's of 7 cm radius and similar thickness.
Thus;
Area of one disc = πr² = π × 7² = 49π
Thus,number of disc's cast = 1848/49π
number of disc's cast = 12
Write as a monomial in standard form
(3x*3y)\x*y
\( \frac{3x \times 3y}{x \times y} \\ = \frac{(3 \times 3)xy}{xy} \\ = \frac{9xy}{xy} \\cancel \: \: \: out \: \: \: xy \: \: \: from \: \: \: both \: \: \: sides \\ = 9\)
Answer:
9
Hope you could get an idea from here.
Doubt clarification - use comment section.
solve the following higher order linear ODE:
exercise 2.5.3: find a particular solution of y 00 − 4y 0 4y = e 2x
The general solution for the given higher-order linear ODE is:
y(x) = y_c(x) + y_p(x) = C1 * e^(2x) + C2 * x * e^(2x) + (1/2) * x^2 * e^(2x)
To solve the given higher-order linear ODE, we need to find a particular solution for the equation:
y'' - 4y' + 4y = e^(2x)
First, we find the complementary function (solution of the homogeneous equation) by solving the characteristic equation:
r^2 - 4r + 4 = 0
(r - 2)^2 = 0
The roots are r1 = r2 = 2. Therefore, the complementary function is:
y_c(x) = C1 * e^(2x) + C2 * x * e^(2x)
Next, we find a particular solution y_p(x) by using the method of undetermined coefficients. Since the right-hand side of the equation is e^(2x), we can assume a particular solution of the form:
y_p(x) = A * x^2 * e^(2x)
Taking the first and second derivatives of y_p(x):
y_p'(x) = A * (2x * e^(2x) + 4x^2 * e^(2x))
y_p''(x) = A * (2 * e^(2x) + 8x * e^(2x) + 8x^2 * e^(2x))
Now substitute y_p, y_p', and y_p'' back into the given ODE:
A*(2 * e^(2x) + 8x * e^(2x) + 8x^2 * e^(2x)) - 4A*(2x * e^(2x) + 4x^2 * e^(2x)) + 4A*x^2 * e^(2x) = e^(2x)
Simplify and cancel out the terms:
2A * e^(2x) = e^(2x)
A = 1/2
Now we have the particular solution:
y_p(x) = (1/2) * x^2 * e^(2x)
The general solution for the given higher-order linear ODE is:
y(x) = y_c(x) + y_p(x) = C1 * e^(2x) + C2 * x * e^(2x) + (1/2) * x^2 * e^(2x)
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is the area of a circle directly proportional to the square of the radius. a circle with a radius of 10 has an area of 314. what will the are be on a circle of radius 4
The area of a circle with radius 4 is 50.24.
Writing the equation form for area and radius of two circles -
(Area/radius²) for circle 1 = (Area/radius²) for circle 2
Keep the values in the relation to find the area of small circle.
314/10² = Area/4²
Area = (314 × 16)/100
Performing multiplication on Right Hand Side of the equation to find the area of circle
Area = 5024/100
Performing division on Right Hand Side of the equation to find the area of circle
Area = 50.24
Hence, we see the decrease in area based on decrease in radius. Thus, the area of circle is 50.24.
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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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If the relation is not one-to-one, does the relation represent a function? If the x-an y-values are reversed, does the relation represent a function? Explain.
Answer:
no
Step-by-step explanation:
If the relationship is not one-to-one, it can still be regarded as a function if it is a many-one relationship, which means that the function has the same y value for a variety of x values.
This cannot be a function if we flip it around and make it a one-to-many relationship since the same input cannot produce various results.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
If the relation is not one-to-one it can still be considered as a function if it is a many-one function meaning for some different values of x the function has the same y value.
If we reverse this and make it a one to many it will not function as
same input can not lead to different outputs.
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What is the equation of a line parallel to y = 2x + 3 and passes through the point (2, 1)?
O y = 3x - 1
O y = 2x - 3
O y = 2x + 2
O y = 2x - 2
The required equation of the parallel line to the line y = 2x + 3 is y = 2x -3
Given that,
To determine the equation of a line parallel to y = 2x + 3 and passes through the point (2, 1)
What is the slope of the line?
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Given the equation of the line,
y = 2x + 3
the slope of the above line,
m = 2
Now, we have studied that the slope of the parallel lines are equal so,
The slope of the line is m = 2
Since the parallel line is passing through the point (2, 1)
Standard equation of the line,
y - y₁ = m (x - x₁)
y - 1 = 2 (x - 2)
y = 2x - 4 + 1
y = 2x - 3
Thus, the required equation of the parallel line to the line y = 2x + 3 is y = 2x -3.
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Carla began a running program to prepare for track try-outs. On her first day she ran 3 miles, and on her second day she ran 5 miles. Since then, Carla has run 7 miles each day. If her log book shows that Carla has run 99 miles, for how many days has Carla been running 7 miles?
Given :
She run 3 miles 1 st day .
She run 5 miles 2 nd day .
Then she runs 7 miles per day .
To Find :
If she total runs 99 miles , for how many days has Carla been running 7 miles.
Solution :
The relation between total miles run and number of days she run 7 miles is :
\(D=7n+3+5\)
Putting , D = 99 miles , we get :
\(7n+8=99\\\\n=\dfrac{91}{7}\\\\n=13\)
From 13 days she is running 7 miles in a day .
Please please help me with this question please
1. Define theoretical probability
2. What is the probability of each of the following?
a) picking the 9 of clubs from a deck of cards————- (fraction)
b) flipping heads with a coin ————-(decimal)
c) picking a diamond from a deck of cards
———-—-(percent)
d) rolling a 3 with 1 die ———(fraction)
e) rolling an even number with 1 die ———————(decimal)
f) flipping heads or tails with a coin —————(percent)
3. Define experimental probability.
Answer:
1. Theoretical probability is the probability or likelihood something will happen based on reasoning and expectations.
3. Experimental probability is the probability that something actually happened based on an experiment being done multiple times.
2.
a) 1/52
b) 0.5
c) 25%
d) 1/6
e) 50%
f) 100%
Step-by-step explanation:
2.
a) There are 52 cards in a deck of cards, and you are pulling one specific card. There is only one 9 of clubs in the deck of 52 cards. 1/52
b) There are only two options for flipping a coin, heads and tails. 1/2 = 0.5
c) 1/4 of the deck of cards are diamonds, and 1/4 = 25/100 = 25%
d) one die has 1, 2, 3, 4, 5, 6 as options. Rolling a 3 is a 1 out of 6 chance = 1/6
e) Again, our options are 1, 2, 3, 4, 5, 6. Of those, 2, 4, 6 are even. 3 out of 6 chance it is even. 3/6 = 1/2 = 0.5
f) There are only two options, heads or tails. Landing on either heads or tails is guaranteed...so 100%
Please let me know if you have questions.
For the figure below the base area and the height has been provided. find the VOLUME
Answer:
Step-by-step explanation:
To find the volume of this solid, multiply the base area by the height:
V = (25 cm²)(4 cm) = 100 cm³
The required volume of the solid will be 100 cm³ in the given figure.
What is the volume of a Solid?The volume of a solid is the amount of space occupied by an object. It is determined by the number of unit cubes required to completely fill the solid.
The solid is given has the base area and the height provide the following:
The base area of the solid = 25 cm²
The height of the solid = 4 cm
As per the given figure, the required solution would be as:
To find the volume of the given solid, multiply the base area by the height:
The volume of the solid = The base area x The height
The volume of the solid = (25 cm²) x (4 cm)
Apply the multiplication operation, and we get
The volume of the solid = 100 cm³
Therefore, the required volume of the solid will be 100 cm³ in the given figure.
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Given the absolute value function y =| x - 3| +1, describe the transformations . type your answer...
Answer:
parent funiction y=|x|
hozonital shift right 3 units
vertical shift up 1 units
reficlation none
vertical none
Step-by-step explanation:
Suppose x and y are positive integers that satisfy the following equation: 7xy + 7y - 9x + 10 = 2019 Find the sum of x and y.
A. 15
B. 18
C. 21
D. 34
E. No possible values
Determine the distance covered by a car traveling 55 km/h for each unit and time given. Round answers to the nearest unit. meters in one minute
The car would cover approximately 917 meters in one minute of travel at a speed of 55 km/h.
To determine the distance covered by a car traveling at a constant speed of 55 km/h for each unit of time, we can use the formula:
Distance = Speed × Time
Given that the speed of the car is 55 km/h, we need to convert it to meters per minute to match the time unit provided.
1 kilometer = 1000 meters
1 hour = 60 minutes
Converting the speed:
55 km/h = 55,000 meters / 60 minutes ≈ 917 meters/minute
Now, let's calculate the distance covered for each unit of time:
In one minute:
Distance = 917 meters/minute × 1 minute ≈ 917 meters
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The expression 14 ^ 6= 14^4 is equal to
14^2
1
2
14^10
Answer:14^2
Step-by-step explanation:
Answer:
14^2
Step-by-step explanation:
:)