Answer:
7
Step-by-step explanation:
First you gotta plug in the values and you get 5*2 - 6(-4)/7
5 squared is 25
-6 times -4 is +24
25 + 24= 49
49/7= 7
Hope this helps! :)
For an upcoming field trip to the science center, the school will allow students to select one extra activity. The school surveys a random sample of 25 students to determine about how many tickets of each kind they will need to buy.
If there are 1,200 students going on the field trip, how much should the school expect to spend on all the activities?
$__
Answer:
$1,605.6
Step-by-step explanation:
Multiply-
14x1.55=$21.7
7x1.05=$7.35
4x1.10=$4.4
Add 21.7+7.35+4.4=33.45
Now multiply 33.45 by 1200 since there are 1200 students
33.45x1200=1,605.6
$1605.6 should the school expect to spend on all the activities
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The school surveys a random sample of 25 students
The cost of movie is 1.5 and the number of students is
So total cost of movie is 14x1.55=$21.7
The cost of Planetarium is 1.05 and the number of students is 7
7x1.05=$7.35
4x1.10=$4.4
Add 21.7+7.35+4.4=33.45
The total cost is 33.45
As there are 1200 students
Now multiply 33.45 by 1200
33.45x1200=1,605.6
Hence, $1605.6 should the school expect to spend on all the activities
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In AQRS, the measure of ZS=90°, the measure of ZQ=64°, and RS = 16 feet. Find the length of QR to the nearest tenth of a foot.
Answer:
17.8
Step-by-step explanation:
Using the SOH CAH TOA identity
Opposite = 16
Hypotenuse = QR = x
Angle of elevation = 64 degrees
Sin64 = opp/hyp
Sin 64 = 16/x
x = 16/sin64
x = 16/0.8898
x = 17.8
Hence QR is 17.8 to the nearest tenth of a foot
Which symbol correctly compares the mixed number and the improper
fraction?
Answer:
d
Step-by-step explanation:
I am not sure but I think it is d
1. a certain college wants to estimate the amount of time students, who live off campus, spend commuting to classes each week. a random sample of 45 off-campus students is surveyed. a) identify the population and sample for this study. b) what data is being collected? what type of data is this? c) what type of study is this?
The objective of this research is to collect data on a specific component of the off-campus student population.The amount of time they spend travelling to courses each week.
a) The population for this study is all off-campus students at this college, and the sample is a random sample of 45 off-campus students who are polled. The sample is chosen at random to be representative of the entire population.
b) The data being gathered is the amount of time the surveyed students spend each week travelling to school. Because it reflects a numerical measurement, this is quantitative data. This information will be used to calculate the average commuting time for off-campus students and to identify any possible concerns or areas for improvement in commuting.
c) This is a descriptive research, since it seeks to characterise and summarise the features of the off-campus student population in terms of commuting time. The study's purpose is to better understand off-campus students' commuting patterns and gather ideas into how to enhance their commuting experience.
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Jack and Tommy work at the sub shop. Jack has worked 3 out of the last 7 days Tommy has worked 14 out of the last 15 days. Based on this, what is the probability that they will both be working on the same day?
Answer: 22 days off
Step-by-step explanation:
Which ordered pair represents y as a function of x?
A. {(−2, 0), (−1, 0), (−1, 1), (0, 2)}
A. {(−2, 0), (−1, 0), (−1, 1), (0, 2)}
B. {(0, 1), (1, 3), (2, 5), (3, 7)}
B. {(0, 1), (1, 3), (2, 5), (3, 7)}
C. {(−1, 4), (−1, 6), (0, 4), (1, 8)}
C. {(−1, 4), (−1, 6), (0, 4), (1, 8)}
D. {(9, 5), (9, −5), (11, 7), (11, −7)}
Answer:
B
Step-by-step explanation:
Here, we want to select an option that represents y as a function of x
We simply want to select an option which is a function
Now, the answer in this case is one in which there are no repeating values of x and y
What this means is that all x values and all y values exactly have a single relationship between each of them
No y values has two x values and no x values links to 2 y-values
With this in mind, the correct answer is ;
option B
Prove (f_n) does not converge uniformly using epsilon criteria | f_n(x) - f(x) | < ε for all x in [0,1] and ε > 0.For n E N, let fn: [0, 1] → R be given by fn(x) = x.
We can conclude that (fn) = x, for all n E N and x E [0, 1] converges uniformly to f(x) = x on [0, 1].
Given, fn(x) = x, for all n E N and x E [0, 1].Now, we need to prove that (fn) does not converge uniformly.Using the epsilon criteria, we need to show that there exists ε > 0 such that |fn(x) - f(x)| > ε for some x E [0, 1].Let ε = 1/2. Now, we have:|fn(x) - f(x)| = |x - x| = 0, for all x E [0, 1].Therefore, |fn(x) - f(x)| < 1/2, for all x E [0, 1].So, we conclude that (fn) converges uniformly to f(x) = x on [0, 1].
We have given that (fn) = x, for all n E N and x E [0, 1].
Now, we have to prove that (fn) does not converge uniformly using the epsilon criteria |fn(x) - f(x)| < ε for all x in [0, 1] and ε > 0.
Using the epsilon criteria, we need to show that there exists ε > 0 such that |fn(x) - f(x)| > ε for some x E [0, 1].Let ε = 1/2. Now, we have:|fn(x) - f(x)| = |x - x| = 0, for all x E [0, 1].
Therefore, |fn(x) - f(x)| < 1/2, for all x E [0, 1].So, we can say that (fn) converges uniformly to f(x) = x on [0, 1].
Therefore, we can conclude that (fn) = x, for all n E N and x E [0, 1] converges uniformly to f(x) = x on [0, 1].
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3D TRIGONOMETRY PLS HELP ME HELP
In a run chart, the variable being measured is typically placed on what axis?
(A) X axis
(B) Y axis
(C) Either axis
(D) Neither axis;
PLEASE HELP! DUE TODAY :))
Step-by-step explanation:
do like the picture I sent
Please help!!!!! I will give brainliest!!!! Find the area
Answer:
30 m
Step-by-step explanation:
You drop a ping pong ball into a measuring cup. The water started at 200 mL but after you drop the ping pong ball the water rises to 400mL. What is the volume of the ping pong ball?
Answer:
200
Step-by-step explanation:
help me please!!!!!! 20 points!
Answer:
Step-by-step explanation:
2x = x + 40
2x - x = x - x + 40
x = 40
∠I = ∠Q = 33°
∠H = ∠P = 80°
∠J = ∠R = 67°
For the function 8-(x-3)^2
find the interval(s) over which the function is decreasing
The quadratic equation is decreasing on the interval (3, ∞).
On which interval is the function decreasing?Here we have the quadratic function:
y = 8 - (x - 3)^2
Remember that the quadratic equation in the vertex form can be written as:
y = a*(x - h)^2 + k
Then in this case the vertex is at (3, 8).
And we can see that the leading coefficient is -1, then the vertex is a maximum and after that the function starts decreasing.
Thus, the function decreases on the interval (3, ∞).
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Consider the following function f(x)=x4+3, x>=0.Find an explicit formula for f^-1
The explicit formula for f^-1 is (x-3)^(1/4) and this is obtained by switching the roles of x and y and solving for y in terms of x.
To find the inverse function of f(x)=x^4+3, we need to switch the roles of x and y, and solve for y.
Let y = x^4+3
Subtract 3 from both sides to get:
y - 3 = x^4
Take the fourth root of both sides to isolate x:
(x^4)^(1/4) = (y-3)^(1/4)
Simplify:
x = (y-3)^(1/4)
So the inverse function of f(x) is:
f^-1 (x) = (x-3)^(1/4)
This is the explicit formula for the inverse function of f(x).
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There are 45 red tiles, 25 blue tiles, and 30 green tiles in a bag.
Suppose you plan to conduct this experiment 60 times;
Andrew conducted the experiment. He drew a blue tile 50 times.
Did Andrew do something wrong? Explain your rationale.
Andrew drew a blue tile 50 times out of a total of 60 experiments. To determine if Andrew did something wrong, consider the probability of drawing a blue tile in each experiment.
The probability of drawing a blue tile can be calculated by dividing the number of blue tiles by the total number of tiles: probability of blue = 25 / (45 + 25 + 30) = 25 / 100 = 1/4. Since the probability of drawing a blue tile is 1/4, we would expect Andrew to draw a blue tile approximately 1/4 of the time in each experiment. Out of 60 experiments, we would expect him to draw a blue tile around 60 * (1/4) = 15 times on average. However, Andrew drew a blue tile 50 times, which is significantly higher than the expected average of 15 times. This suggests that Andrew's results deviate from the expected probability, indicating that something may have been done incorrectly. It is possible that Andrew did not conduct the experiments randomly or that there was an issue with the bag of tiles.
Further investigation is needed to determine the cause of the deviation and whether Andrew's results are valid.
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Suppose you have a bag containing 45 red tiles, 25 blue tiles, and 30 green tiles. You plan to conduct an experiment 60 times by randomly drawing a tile from the bag each time. Andrew, one of the participants, conducted the experiment and drew a blue tile 50 times. Analyze Andrew's results and determine if he did something wrong. Explain your rationale.
Please write a C programing code, debug and run for the following programs. Then you must upload the following items for each question by using add file option: 1- The actual program code with extension ".c" 2- The screenshot of both code and output screen Write a C programing code. This code read a decimal number and calculate the Logarithm base 10 of the entered number. The output of the program must be the same as given sample below. Enter a number: 2.547 Logarithm base 10 of 2.547 0.4060 Paragraph +v V B I U A E Y S Lato (Recom DC V 19px V L & 3 e G 3 ⠀ 30 ^ ENG 125 Main Content 7:54 PM 2022-06-06
To run this code, you need a C compiler installed on your machine. You can copy the code into a file with a ".c" extension (e.g., "logarithm.c"), compile it, and then execute the compiled program. Make sure to capture a screenshot of both the code and the output screen.
Here's the C programming code to calculate the logarithm base 10 of a decimal number:
```c
#include <stdio.h>
#include <math.h>
int main() {
double number, result;
printf("Enter a number: ");
scanf("%lf", &number);
result = log10(number);
printf("Logarithm base 10 of %.3lf: %.4lf\n", number, result);
return 0;
}
```
To run this code, you need a C compiler installed on your machine. You can copy the code into a file with a ".c" extension (e.g., "logarithm.c"), compile it, and then execute the compiled program. Make sure to capture a screenshot of both the code and the output screen.
Please note that I am unable to directly receive or view any files you upload. If you have any questions or need further assistance while running the code, feel free to ask.
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What is the volume of this rectangular prism?
4/3cm 4/3cm 4/3cm
Answer:
2.37 \(cm^{3}\)
Step-by-step explanation:
Multiply all dimensions of the rectangular prism
length x width x height = volume
4/3 cm x 4/3 cm x 4/3 cm = 2.37 \(cm^{3}\)
Answer in Mixed Number: \(2\frac{10}{27}\)
Answer in Improper Fraction: \(\frac{64}{27}\)
Complete the equation of the line through (3,-1)(3,−1)left parenthesis, 3, comma, minus, 1, right parenthesis and (4,7)(4,7)left parenthesis, 4, comma, 7, right parenthesis.
Answer: \(y=8x-25\)
Step-by-step explanation:
Given
Line passes through \((3,-1)\ \text{ and}\ (4,7)\)
Equation of line when it passes through two points \((x_1,y_1),(x_2,y_2)\)
\(\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}\)
Insert the values
\(\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25\)
Answer:
8x-25
Step-by-step explanation:
:O thats ez
in a regular icosagon ($20$-sided polygon), all the diagonals are drawn. if a diagonal is selected at random, what is the probability of selecting a diagonal that is neither the shortest possible length nor the longest possible length? express your answer as a common fraction.
The probability of selection of diagonal which is not shortest nor longest is 13/17.
We know very well that Icosagon has 20 sides.
If any diagonal is possible, it can be possible by connecting two points, so to choose r objects from n objects can be done by ⁿ \(C_{r}\) = \(\frac{n!}{r! (n-r)!}\)
So, number of ways to choose diagonal = \(^2^0C_{2}\)
After that we need to subtract 20 ways as single point can lead to diagonal making.
So, total number of ways to choose 20 diagonals = 170
Now, talking about the shorter diagonal
so, shorter diagonal =Diagonal connecting(A₁A₃, A₂A₄,.....) =20 diagonals.
Now, talking about longer diagonal=Diagonal connecting(A₁A₈,A₂A₉.........) = 20 diagonals
So, we have total chances of ⁿ \(C_{r}\) = \(\frac{n!}{r! (n-r)!}\) and possible number of chances of selection of shorter and longer diagonal
So, according to the formula,
Probability= Favorable outcome /Total outcome
Probability = [(Total ways to select diagonals - (Ways to select shorter diagonal) - Ways to select longer diagonal)]/(Total number of ways)
Probability = (170-20-20)/170
Probability = 130/170
Probability = 13/17
Hence, the probability of selecting a diagonal such that it is not shortest nor longest is 13/17.
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Interpreting a Z score from a sample proportion. Suppose that you conduct a hypothesis test about a population proportion and calculate the Z score to be 0.47. Which of the following is the best interpretation of this value? For the problems which are not a good interpretation, indicate the statistical idea being described. 19 a. The probability is 0.47 that the null hypothesis is true. b. If the null hypothesis were true, the probability would be 0.47 of obtaining a sample proportion as far as observed from the hypothesized value of the population proportion. c. The sample proportion is 0.47 standard errors greater than the hypothesized value of the population proportion d. The sample proportion is equal to 0.47 times the standard error. e. The sample proportion is 0.47 away from the hypothesized value of the population. f. The sample proportion is 0.47
If the null hypothesis were correct, there would be a 0.47 percent chance of getting a sample proportion that deviates from the population proportion's hypothesised value
What is proportion?Proportion refers to the relationship between two quantities or numbers, indicating how they are related to each other in size or amount.
According to question:The best interpretation of a Z score of 0.47 for a sample proportion is:
b. If the null hypothesis were correct, there would be a 0.47 percent chance of getting a sample proportion that deviates from the population proportion's hypothesised value.
This interpretation is in line with the definition of a Z score, which is a measure of how many standard deviations a sample statistic (in this case, the sample proportion) is not what would be anticipated if the null hypothesis were true. A Z score of 0.47 means that the sample proportion is 0.47 standard deviations away from the expected value under the null hypothesis. Therefore, the interpretation that the probability of obtaining a sample proportion as far or farther than observed from the hypothesized value of the population proportion is 0.47, assuming the null hypothesis is true, is the most appropriate.
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Given: y || z
Prove mAngle 5 + mAngle 2 + mAngle 6 = 180°
this is an answer. I couldn’t find an answer anywhere on here so I figured it out myself (and it was not great)
here are the answers:
hope this helped anyone who needed it
The sum of the angle 5, angle 2 and angle 6 (m∠ 5 + m∠ 2 + m∠ 6 = 180 ), proved.
What is the proof that angle 5, 2 and 6 is equal to 180?The proof of the sum of angle 5, angle 2 and angle 6 equal to 180 degrees is determined as follows;
Let's consider the sum of the angle on the straight line LAM;
m∠ 1 + m∠2 + m∠3 = 180 ---- (1) (sum of angles on a straight line)
Let's consider the two parallel lines LM and CB;
m∠ 1 = m∠ 5 (alternate angles are equal)
m∠ 3 = m∠ 6 (alternate angles are equal)
Since m∠ 1 = m∠ 5, and m∠ 3 = m∠ 6, then from equation (1), we will know have;
m∠ 5 + m∠ 2 + m∠ 6 = 180 (sum of angles in a triangle ) proved.
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a marketing researcher wants to find a 93% confidence interval for the mean amount that visitors to a theme park spend per person per day. she knows that the standard deviation of the amounts spent per person per day by all visitors to this park is $10. how large a sample should the researcher select so that the estimate will be within $3 of the population mean?
36 is large a sample should the researcher by confidence level.
What does "confidence level" mean?
The confidence level is the likelihood that, if you repeat your experiment or resample the population in the same manner, you will come close to arriving at the same estimate. The estimate's upper and lower bounds are what make up the confidence interval for a particular level of confidence.Confidence lavel = 93%
z = 1.81
σ = 10
E = 3
Sample mix n = ( zσ/E)² = ( 1.81 * 10/3)
= 36.4
≈ 36
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use the conversion equations to express x and y in terms of r. You should have two equations after this step
The equation of the line in slope-intercept form;
y = √3x + b.
What is polar equation?A polar equation is any equation that expresses the relationship between r and theta, where r is the distance from the origin (pole) to a point on a curve and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive x-axis.
According to the given information:Equation 1 is x = rcosθ
Equation 2 is y = rsinθ
The angle is.θ
The radius of a circle is r.
The slope from this angle is also determined by:
θ = tan⁻¹(y/x)
tan⁻¹ (π/3) = (y/x)
√3 Equals (y/x)
y = √3x
In mathematics, this formula yields the equation of the line in slope-intercept form;
y = √3x + b.
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I understand that the question you are for is:
Transform each polar equation to an equation in rectangular form.
A. theta=pi/3
Part I: Use the conversion rules to express x and y in terms of r. You should
have two equations after this step.
Part II:Use the ratio (y/x) to find the slope of the line defined by this
equation.
Part III: Write the equation of the line in slope-intercept form.
As matters stand his house has wood siding, which must be painted every year As matters stand, his house has wood siding, which must be painted every year at an annual cost of £500. If he installs aluminium siding now, it will cost £2,600 and the need for painting will be eliminated. If he does not install siding, he will and 4 years from now. Then he plans to sell the house. He believes that the aluminium siding will increase the resell value of his house (when he sells it 4 years from now) by no more than £400. 1. If Jamie can get 6 percent interest on alternative investments, should he install the aluminium siding? 2. The paint he used to buy has become illegal, but there is a new paint on the market which allows Jamie to paint his house every other year only. The annual cost of painting will be £750. Should Jamie install the aluminium sidina?
1. If the NPV is positive, then Jamie should install the aluminum siding.
2. If the present value of the painting cost is lower than the cost of installing aluminum siding (£2,600), then Jamie should choose the new paint option.
To determine whether Jamie should install aluminum siding in each scenario, we need to compare the costs and benefits involved.
1. Installing Aluminum Siding:
The cost of installing aluminum siding is £2,600, and it eliminates the need for annual painting, saving £500 per year. Additionally, Jamie believes it will increase the resale value of the house by no more than £400 after 4 years.
To assess whether Jamie should install aluminum siding, we can calculate the net present value (NPV) of the investment. Since Jamie can get a 6 percent interest rate on alternative investments, we'll use that as the discount rate.
NPV = Present Value of Benefits - Present Value of Costs
Costs:
- Initial cost of installing aluminum siding: £2,600
Benefits:
- Annual savings on painting cost: £500
- Increased resale value after 4 years: £400
To calculate the NPV, we need to discount the future benefits and costs back to their present values. Let's use the formula:
Present Value = Future Value / (1 + Discount Rate)^(Number of Years)
Discounted Costs:
Present Value of initial cost = £2,60
Discounted Benefits:
Present Value of annual savings = £500 /\((1 + 0.06)^4\)
Present Value of increased resale value = £400 / (1 + 0.06)^4
Now, let's calculate the NPV:
NPV = Present Value of benefits - Present Value of costs
= (Present Value of annual savings + Present Value of increased resale value) - Present Value of initial cost
If the NPV is positive, then Jamie should install the aluminum siding.
2. New Paint Option:
In this scenario, the cost of painting every year with the new paint is £750. We need to compare this cost with the cost of installing aluminum siding (£2,600).
Since the painting cost occurs annually, we can use the same discount rate of 6 percent to calculate the present value of costs over 4 years:
Present Value of painting cost = \((£750 / 2) / (1 + 0.06)^4\)
If the present value of the painting cost is lower than the cost of installing aluminum siding (£2,600), then Jamie should choose the new paint option.
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guess a number from 1 -10
ill mark u brainliest if u get it right
Answer:
7
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Please help due in 10mins
Answer:
(2,7), (6,-2),
Step-by-step explanation:
After finding the points you plug them in to the distance formula:
d=√((x2-x1)²+(y2-y1)²)
d=√[(6-2)²+(-2-7)²]
A bird is flying at a constant rate.
This equation y = 8x + 15 can be used to represent this situation, where y is the bird's elevation in meters and x is the number of minutes the bird has been flying.
Which statement best describes the bird's elevation, given this equation?
The bird started at a height of 15 meters and is ascending at 8 meters per minute.
The bird started at a height of 8 meters and is ascending at 15 meters per minute.
The bird started at a height of 15 meters and is descending at 8 meters per minute.
The bird started at a height of 8 meters and is descending at 15 meters per minute.
Answer:
the answer is The bird started at a height of 15 meters and is ascending at 8 meters per minute.
Step-by-step explanation:
i know things
Answer:
the answer is A
Step-by-step explanation:
solve 6x - 3 = 3x + 12
Answer:
x=5
Step-by-step explanation:
May I have brainiest I'm trying to level up!
</3 PureBeauty
Answer:
x=5
Step-by-step explanation:
6x-3 = 3x +12
+3 +3
6x = 3x +15
-3x -3x
3x = 15
divided both sides by 3 to get your answer
A two digit number is 6 times its singles digit. The sum of the digits is 6. Find the number