Answer:
30
Step-by-step explanation:
So we know that there are 292 people and 9.9% attended one play so you just find 10% of 300(approximated) which is the same thing as 30.
Answer:
Step-by-step explanation:
The following table shows the number of candy bars bought at a local grocery store and the
total cost of the candy bars:
Candy Bars: 3, 5, 8, 12, 15, 20, 25
Total Cost: $6.65, $10.45, $16.15, $23.75, $29.45, $38.95, $48.45
If B represents the number of candy bars purchased and C represents the total cost of the candy bars, write the linear model that models the cost of any number of candy bars.
The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95
To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.
Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.
To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.
First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):
m = (C2 - C1) / (B2 - B1)
= ($48.45 - $6.65) / (25 - 3)
= $41.80 / 22
≈ $1.90
Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):
b = C - mB
= $6.65 - ($1.90 * 3)
= $6.65 - $5.70
≈ $0.95
Therefore, the linear model that represents the cost of any number of candy bars can be written as:
C = $1.90B + $0.95
This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.
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FILL IN THE BLANK a/an ____________________________ diagram can be used to show how the tables in a database are defined and related..
A/an database schema diagram can be used to show how the tables in a database are defined and related.
This type of diagram provides a visual representation of the structure and organization of the database. It illustrates the tables ,and their attributes, and the relationships between them.
The database schema diagram helps in the understanding the logical design of the database, including primary keys, for foreign keys, and the connections between different tables. It allows developers, database administrators, and stakeholders to visualize the database structure and serves it as a reference for in designing, modifying, and querying the database effectively.
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PLEASE PLEASE HELP ME IM ALMOST DONE WITH IT DONT BE SHY IM DYING
Answer:
Umm what did you say anyway. I did not understand.
Which expression is equivalent to: * (7x ^ 4) ^ 2
Answer:
49x^8
Step-by-step explanation:
answer; #13,#14,#15. ((PLEASE HELP ME)). ((due today)).
The domain and range of f(x) = -24 are given as follows:
Domain: all real values.Range: {-24.}The domain and range of f(x) = 0.5(x + 4)² - 11 are given as follows:
Domain: all real values.Range: f(x) >= -11.The range of y = -2x² + 12x - 13 is given as follows:
y <= 5.
How to obtain the domain and the range of a function?The domain of a function is the set that contains all the input values that can be assumed by the function.
As neither of the functions in this problem have any restriction, the domain is all real values for the two of them.
The range of a function is the set that contains all the output values that can be assumed by the function.
The ranges are given as follows:
Constant function: single constant, hence the {}.Quadratic functions: negative infinity to vertex (concave down) and vertex to positive infinity (concave up).More can be learned about the domain and the range of a function at https://brainly.com/question/30248800
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If y varies directly with x and y=-16 when x=8, find y when x=2
Answer:
y=-4
Step-by-step explanation:
The answer is going to be -4 as when y=-16 x=8.
Jordan has been saving for a new bicycle. It costs $115. If the sales tax rate is 6%, how much will she need to save in order to afford the bike?
Answer:
$121.90
Step-by-step explanation:
Cost $115 x .06% = 6.9
115+6.9 = 121.90
A movie production company was interested in the relationship between a movie's budget and how well that movie
was received by the public. Information was collected on several movies and was used to obtain the regression
equation ý = 0.145x + 0.136, where x represents the budget of the movie (in millions of dollars) and ŷ is the predicted
score of that movie (in points from 0 to 1). Which statement best describes the meaning of the slope of the regression
line?
O For each increase in score by 1 point, the predicted budget increases by $0.136 million.
For each increase in score by 1 point, the predicted budget increases by $0.145 million.
O For each increase in budget by $1 million, the predicted score increases by 0.136 points.
O For each increase in budget by $1 million, the predicted score increases by 0.145 points.
Answer: For each increase in budget by $1 million, the predicted score increases by 0.145 points.
Use the Buying a Car information above to answer this question. What is your monthly payment if you choose 0% financing for 48 months? Round to the nearest dollar. Use the Buying a Car information above to answer this question. The rebate offer is $2900, and you can obtain a car loan at your local bank for the balance at 5.24% compounded monthly for 48 months. If you choose the rebate, what is your monthly payment? $ Round to the nearest dollar.
If you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).
To calculate the monthly payment for each financing option, we'll use the information provided:
1. 0% financing for 48 months:
Since the financing is offered at 0% interest, the monthly payment can be calculated by dividing the total purchase price by the number of months.
Purchase Price: $26,050
Number of Months: 48
Monthly Payment = Purchase Price / Number of Months
Monthly Payment = $26,050 / 48 ≈ $543
Therefore, the monthly payment for the 0% financing option for 48 months is approximately $543.
2. Rebate offer and car loan at the bank:
If you choose the rebate offer, you'll need to finance the remaining balance after deducting the rebate amount. Let's calculate the remaining balance:
Purchase Price: $26,050
Rebate Offer: $2,900
Remaining Balance = Purchase Price - Rebate Offer
Remaining Balance = $26,050 - $2,900 = $23,150
Now, we'll calculate the monthly payment using the remaining balance and the loan terms from the local bank:
Remaining Balance: $23,150
Interest Rate: 5.24% (compounded monthly)
Number of Months: 48
Monthly Payment = (Remaining Balance * Monthly Interest Rate) / (1 - (1 + Monthly Interest Rate)^(-Number of Months))
First, let's calculate the Monthly Interest Rate:
Monthly Interest Rate = Annual Interest Rate / 12
Monthly Interest Rate = 5.24% / 12 ≈ 0.437%
Now, we can calculate the Monthly Payment using the formula mentioned above:
Monthly Payment = ($23,150 * 0.437%) / (1 - (1 + 0.437%)^(-48))
Monthly Payment ≈ $557
Therefore, if you choose the rebate offer, your monthly payment for the car loan at the bank will be approximately $557 (rounded to the nearest dollar).
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3. If I get a 2/3 on an exit ticket. What is that grade out of 5?*
Answer:
4/5
Step-by-step explanation:
you asked eight of your classmates the score they received on the last statistics exam. the average of these eight scores was found to be 65. on the basis of this information, you stated that the average test score for the entire class was less than 70. this is an example of what major branch of statistics?
The major branch of statistics that deals with making inferences about a population based on a sample is called inferential statistics.
In this scenario, you collected data from a sample of eight classmates and calculated the average score to be 65.
Based on this sample, you made an inference about the entire class, stating that the average test score for the whole class was less than 70. This inference is an example of using inferential statistics. Inferential statistics allows us to draw conclusions and make predictions about a larger population based on a smaller sample.
By using statistical techniques and assumptions, we can estimate parameters, such as the population mean, using sample statistics. This helps us make informed decisions and generalizations about a population when it is not feasible or practical to collect data from the entire population.
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helppppppppppppppppppppp
Solve the following system of equations graphically on the set of axes below. Y = 1 2 4 y = -X – 7 Plot two lines by clicking the graph. Click a line to delete I. y 8
Two linear system
Find x and y
THEN ,point of intersection between blue and red line IS
aproximately
x = -2
y = -4.5
20. EXTENDED RESPONSE A gardener is reseeding a city park that has the
shape of a right triangle with a base of 150 feet and a height of 200 feet.
The third side of the park is 250 feet long.
a. One bag of grass seed covers 3750 square feet and costs $27.50. How
many bags are needed? What is the total cost?
b. Wire fencing costs $23.19 for each 50 foot roll. How much does it
cost to buy fencing to enclose the area?
c. Fence posts cost $3.19 each and should be placed every 5 feet. How many
posts are needed, and how much will they cost altogether? Explain.
The total cost of seeds to cover the total area is $110 and the total cost of fencing the park is $13914.
Given that, a gardener is reseeding a city park that has the shape of a right triangle with a base of 150 feet and a height of 200 feet. The third side of the park is 250 feet long.
What is the formula to find the area of a triangle?The formula to find the area of a triangle is Area of triangle = 1/2 ×base × height.
Now, A= 1/2 × 150×200
A= 15000 sq. ft
a) 1 bag of grass seed covers 3750 sq. ft
So, 15000/3750 = 4 bags
The cost of 1 bag = $27.50
4 bags = 4×27.50= $110
b) Wire fencing costs $23.19 for every 50 ft roll
Then, Perimeter P = sum of all sides = 150+200+250=600 feet
The cost of fencing 50 ft = $23.19
So, 600 ft = 600×23.19
Fencing cost of wire =$13914
c) Fence posts cost $3.19 each and need to be placed every 5 ft.
We need to find out how many posts are needed and what is the cost altogether.
Now, Perimeter = 600 feet
Posts are kept 5 ft apart
Thus, 600/5= 120 posts
Cost of 1 post = $3.19
Now, 120 posts = 119×3.19= $379.61
Therefore, the total cost of seeds to cover the total area is $110 and the total cost of fencing the park is $13914.
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if 6 men can dig for dishes in an hour how many men would be required to dig 6 digits in an hour
There are 9 men required to dig 6 ditches in an hour.
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Given that 6 men can dig four ditches in an hour
Let x men would be required to dig 6 digits in an hour
According to the given situation, we can write the ratio would be as:
6 : 4 = x : 6
6/4 = x/6
Apply the cross-multiplication, and we get
4x = 36
x = 36/4
x = 9
Therefore, 9 men would be required to dig 6 digits in an hour.
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The question seems incomplete, the complete question would be as:
If 6 men can dig four ditches in an hour, how many men are required to dig 6 ditches in an hour?
What is the surface area for a rectangular prism with the height of 6 inches, width of 8 inches, and the length of 4 inches
Answer:
Using the formula, we can find that the surface area is 208 in².
Step-by-step explanation:
To find the surface area (SA) for a rectangular prism, substitute its dimensions into the formula and solve.
DimensionsDimensions mean the side lengths of the shape, the height, width and length. We know the dimensions from the question.
Height: h = 6 in
Width: w = 8 in
Length: l = 4 in
FormulaWe will need the formula to find the surface area for rectangular prisms. Note that different shapes have a different formula for finding surface area.
\(SA= 2(lw + lh + hw)\)
Substitute the dimensions h = 6in, w = 8in and l = 4in into the formula.
\(SA= 2((4\ in)(8\ in) + (4\ in)(6\ in) + (6\ in)(8\ in))\)
Remember order of operations (BEDMAS) when solving. Multiply within the brackets first.
\(SA= 2(32\ in^{2} + 24\ in^{2} + 48\ in^{2})\) Add within the brackets.
\(SA= 2(104\ in^{2})\) Multiply.
\(SA= 208\ in^{2}\) Final answer
Tip: The final answer for area will always have squared units.
∴ The surface area (SA) of the rectangular prism with a height of 6 inches, width of 8 inches, and length of 4 inches is 208 squared inches.
angles w and x are complementary. determine the degree measure of ∠w if m∠x = 29.8°. 55.1° 60.2° 90° 150.2°
Answer:
measure of ∠w = 60.2 °
Step-by-step explanation:
When two angles are complementary, they form a right angle. Thus, the sum of their measures, m, equals 90°.Because we're told that m∠x = 29.8°, we can find m∠w in ° by subtracting 29.8 from 90.
m∠x + m∠w = 90
m∠w = 90 - m∠x
m∠w = 90 - 29.8
m∠w = 60.2
Thus, the measure of ∠w is 60.2°.
Answer:
Thus, the measure of ∠w is 60.2°.
Step-by-step explanation:
When two angles are complementary, they form a right angle. Thus, the sum of their measures, m, equals 90°.
Because we're told that m∠x = 29.8°, we can find m∠w in ° by subtracting 29.8 from 90.
m∠x + m∠w = 90
m∠w = 90 - m∠x
m∠w = 90 - 29.8
m∠w = 60.2
Thus, the measure of ∠w is 60.2°.
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PLEASE answer as soon as you can! First correct answer will get BRAINLIEST!!! :)
Answer:
(x-3)(x-5)
Step-by-step explanation:
Answer:
x = 3 or x= 5
Step-by-step explanation:
Δ = (-8)² - 4×15
= 64- 60
=4
and 4≥0
so x = (8 - √4 )÷2 = 3
or x= (8 + √4 )÷2 = 5
so P(x) = (x-3) (x-5)
Suppose that 14 children, who were learning to ride two-wheel bikes, were surveyed to determine how long they had to use training wheels. It was revealed that they used them an average of eight months with a sample standard deviation of four months. Assume that the underlying population distribution is normal.Part (a) (i) Enter an exact number as an integer, fraction, or decimal.x =(ii) Enter an exact number as an integer, fraction, or decimal.sx =(iii) Enter an exact number as an integer, fraction, or decimal.n =(iv) Enter an exact number as an integer, fraction, or decimal.n − 1 =b. Define the random variable X in words.The mean amount of time a single child uses training wheels.The amount of time a single child uses training wheels.The mean length of time for training wheels usage from a sample of 14 children.The population mean amount of time for training wheels usage for children.c. Define the random variableXin words.The mean amount of time a single child uses training wheels.The amount of time a single child uses training wheels.The mean length of time for training wheels usage from a sample of 14 children.The population mean amount of time for training wheels usage for children.d. Which distribution should you use for this problem? (Enter your answer in the form z or tdf where df is the degrees of freedom.)
You are required to determine the confidence interval for the mean duration of a child using training wheels based on a sample of 14 kids in this problem. Since the sample size is small (less than 30) and we don't know the population standard deviation, we can use the t-distribution. The sample mean is plus or minus the t-value times, and the standard error is the formula for the confidence interval. Since the confidence level is specified as 95%, we must determine the t-value with 13 degrees of freedom that represent a 95% confidence level. To determine this value, we can use a t-table or a calculator, and we can then enter it into the formula to determine the confidence interval.
(a) (i) x = 8
(ii) sx = 4
(iii) n = 14
(iv) n-1 = 13
(b) Define the random variable X in words.
The mean length of time for training wheels usage from a sample of 14 children.
(c) Define the random variable X in words.
The mean length of time for training wheels usage from a sample of 14 children.
(d) Which distribution should you use for this problem?
We should use t distribution because the population standard deviation is unknown and the sample size is small (n < 30). So, the degree of freedom is 13. Thus, the distribution should be t13.
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South Africa broke the world record for largest pizza in 1990. It weighed `26833` pounds
3 medium pizzas weigh about 2 pounds with toppings.
About how many medium pizzas are equivalent to the world’s largest pizza?
8,944 hope this helps
About 40250 medium sized pizzas are equivalent to world's largest pizza.
What is Scaling factor?Scaling factor is used to represent how many times of one quantity is equal to another. Mathematically, if x is three times y, this can be written as-
x = 3y
where 3 is the scaling factor.
Given is weight of world's largest pizza and is equal to 26833 pounds and 3 medium pizzas weigh about 2 pounds with toppings.
Now -
3 medium pizzas → 2 pounds
1 medium pizza → (2/3) pounds
Suppose that the weight of world's largest pizza is K times than that of 1 medium pizza. Then we can write -
26833 = 2K/3
K = (26833 x 3)/2
K = 40249.5 = 40250
Therefore, about 40250 medium sized pizzas are equivalent to world's largest pizza.
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Which of the following is not the same as positive 6?
|-6|
6 units to the left of 0 on a number line
+6
6
what is the frequency in hertz of a wave with a wavelength of 5.7 km?
Frequency and wavelength are related by the equation f=cλ, where c is the speed of light in a vacuum. The speed of light in a vacuum is 2.9979×108 m/s. Wavelength must be converted from kilometers to meters, then the values can be plugged into the equation. f=2.9979×108 m/s5,700 m=52,594 Hz. The resulting frequency is 52,594 Hz or 5.3×104 Hz when rounded to the correct number of significant figures.
Define wavelength?The wavelength of a periodic wave is the distance over which its shape repeats in physics.The distance between identical points (adjacent crests) in adjacent cycles of a waveform signal propagated in space or along a wire is defined as its wavelength.The distance between two consecutive crests or troughs of a wave is defined as its wavelength. It is calculated in the wave's direction.Wavelength is usually represented by the Greek letter lambda (); it equals the speed (v) of a wave train in a medium divided by its frequency (f): = v/f.The wavelength of an electromagnetic wave is the distance between consecutive crests of a wave.To learn more about wavelength refer to:
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How many 6-digit numbers can be found using the digits from 1 to 6 if the number is less than 400000 and the even digits occupy the even places in descending order, answer should be 4
Answer
Step-by-step explanation:
Answer
Answer step-by-step explanation
Can someone please help me
Answer:
hi
Step-by-step explanation:
Evaluate the following expression when x = -1, y = 2, z = -3, and
w = 4.
322 - 5w2
Answer:
282
Step-by-step explanation:
322- 5(4)2
322-40
282
If today is saturday , what day of week will it be 150 days from today ??
A random sample of 100 middle schoolers were asked about their favorite sport. The following data was collected from the students.
Sport Basketball Baseball Soccer Tennis
Number of Students 17 12 27 44
Which of the following graphs correctly displays the data?
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
histogram with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled basketball going to a value of 17, the second bar labeled baseball going to a value of 12, the third bar labeled soccer going to a value of 27, and the fourth bar labeled tennis going to a value of 44
bar graph with the title favorite sport and the x axis labeled sport and the y axis labeled number of students, with the first bar labeled baseball going to a value of 17, the second bar labeled basketball going to a value of 12, the third bar labeled tennis going to a value of 27, and the fourth bar labeled soccer going to a value of 44
Question 15(Multiple Choice Worth 2 points)
Answer:Answer: A. tennis=17 , soccer= 12, baseball=27, basketball=44
BAR GRAPH make sure its not a histogram!!
Step-by-step explanation:
just took the test
Hi! I know this is not the correct way to ask a question, but may someone explain how to do the Division Property of Equality and the Multiplication Property of Equality?
Answer:
Step-by-step explanation:
So the division property states that if both sides of an equation are equal and whenever you divide both sides of that equation by the same number they should stay equal. Example
12=12 right? so if I divide both 12 and 12 by 3 I should get 3=3
We use this to solve for variable such as x
So new example lets take
5x=25
Since both sides are equal I can divide by the same number and should get an equal number right? So lets divide by 5 on both sides. 5x divided by 5 equals x and 25 divided by 5 equals 5 so my new equation is
x equals 5 or x=5.
If I plug my x=5 back into the equation they should be equal so lets see...
5(5)=25
25=25
And it checks out :)
if f(x) = 2x + 7, what is the value of f(-10) and f(5)?
if f(x)= 2x+7
f(x)= two points
-10 and +5
the solution is : A,,,,f(-10)=2(-10)+7
= -20+7
= -13
and
B,,,,, f(5)= 2(5)+7
= 10+7
= 17
Given that f(x)=xcosx,0 ≤ x ≤ 5. a) Find the minimum of the function f in the specified range and correspoeting x
b) Find the maxımum of the function f in the specified range and corresponding x :
a) The minimum value of the function f(x) = xcos(x) in the range 0 ≤ x ≤ 5 is approximately -4.92, and it occurs at x ≈ 3.38.
b) The maximum value of the function f(x) = xcos(x) in the range 0 ≤ x ≤ 5 is approximately 4.92, and it occurs at x ≈ 1.57 and x ≈ 4.71.
To find the minimum and maximum values of the function f(x) = xcos(x) in the specified range, we need to evaluate the function at critical points and endpoints.
a) To find the minimum, we look for the critical points where the derivative of f(x) is equal to zero. Taking the derivative of f(x) with respect to x, we get f'(x) = cos(x) - xsin(x). Solving cos(x) - xsin(x) = 0 is not straightforward, but we can use numerical methods or a graphing calculator to find that the minimum value of f(x) in the range 0 ≤ x ≤ 5 is approximately -4.92, and it occurs at x ≈ 3.38.
b) To find the maximum, we also look for critical points and evaluate f(x) at the endpoints of the range. The critical points are the same as in part a, and we can find that f(0) ≈ 0, f(5) ≈ 4.92, and f(1.57) ≈ f(4.71) ≈ 4.92. Thus, the maximum value of f(x) in the range 0 ≤ x ≤ 5 is approximately 4.92, and it occurs at x ≈ 1.57 and x ≈ 4.71.
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