HELP I WILL GIVE BRAINIEST
Answer:
13.7
Step-by-step explanation:
It forms a triangle.
They are trying to find the height, cause they say the east-bound car went east so that makes the bottom of the triangle, the width. They also give is the distance in between both cars so that's the hypotenuse so let's set up the equation...
15² - 6² = 189
now we square root it
√189 = 13.7
If x > 10, what is the smallest integer value x can have?Smallest integer value=
Given:
\(x>10\)To find:
The smallest integer value x can have.
Explanation:
Let us write the solution set first.
The solution set for the given inequality is,
\(x=\lbrace11,12,13,14,......\rbrace\)From the set,
We observe that the smallest integer value is 11.
Final answer:
The smallest integer value is 11.
In a highway vehicles are passing according to a Poisson process having a rate of 300 per hour. Suppose each vehicle is a car with probability 86% and at truck with probability 14%. (a) Determine the distribution of the number of cars in the highway during a two hour period. (b) Determine the expected number of cars that will pass the highway before the first truck.
The distribution of the number of cars on the highway during two hours follows a binomial distribution with parameters n=2 and p=0.86, and the expected number of cars that will pass the highway before the first truck is approximately 1.16 cars.
(a) The distribution of the number of cars on the highway during two hours follows a Poisson distribution with a rate of 300 cars per hour. Since each vehicle is a car with a probability of 86%, we can use the binomial distribution to determine the probability of a specific number of cars in the two hours. The probability mass function of the number of cars, denoted by X, can be calculated as \(P(X = k) = (2Ck) * (0.86)^k * (0.14)^2^-^k\), where k ranges from 0 to 2. This gives us the probability distribution of the number of cars in the two hours.
(b) To determine the expected number of cars that will pass the highway before the first truck, we can utilize the geometric distribution. The probability of a car passing the highway before the first truck is 86%. Therefore, the expected number of cars, denoted by Y, can be calculated as \(E(Y) = 1 / 0.86 = 1.16\) cars. This means that on average, approximately 1.16 cars will pass the highway before the first truck.
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The purchased cost of a 5-m3 stainless steel tank in 1995 was $10,900. The 2-m-diameter tank is cylindrical with a flat top and bottom. If the entire outer surface of the tank is to be covered with 0.05-m-thickness of magnesia block, estimate the current total cost for the installed and insulated tank. The 1995 cost for the 0.05-m-thick magnesia block was $40 per square meter while the labor for installing the insulation was $95 per square meter.
The estimated current total cost for the installed and insulated tank is $12,065.73.
The first step is to calculate the surface area of the tank. The surface area of a cylinder is calculated as follows:
surface_area = 2 * pi * r * h + 2 * pi * r^2
where:
r is the radius of the cylinder
h is the height of the cylinder
In this case, the radius of the cylinder is 1 meter (half of the diameter) and the height of the cylinder is 1 meter. So the surface area of the tank is:
surface_area = 2 * pi * 1 * 1 + 2 * pi * 1^2 = 6.283185307179586
The insulation will add a thickness of 0.05 meters to the surface area of the tank, so the total surface area of the insulated tank is:
surface_area = 6.283185307179586 + 2 * pi * 1 * 0.05 = 6.806032934459293
The cost of the insulation is $40 per square meter and the cost of labor is $95 per square meter, so the total cost of the insulation and labor is:
cost = 6.806032934459293 * (40 + 95) = $1,165.73
The original cost of the tank was $10,900, so the total cost of the insulated tank is:
cost = 10900 + 1165.73 = $12,065.73
Therefore, the estimated current total cost for the installed and insulated tank is $12,065.73.
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larry wants new carpeting for rectangular living room. Her living room is 18 feet by 12 feet. How much carpeting does she need?
\(\text{To get the total surface area, all we have to do is multiply } 18 \text{ by } 12, \text{which gets us}\)\($18\cdot12 = \boxed{216\text{ ft}^2}\).
\(\text{So, our answer is } \boxed{216\text{ ft}^2}.\)
Larry needs 216 square feet of carpeting for her rectangular living room.
To find the amount of carpeting Larry needs, we need to calculate the area of her rectangular living room. The area of a rectangle can be found by multiplying its length by its width. In this case, the length of the living room is 18 feet and the width is 12 feet.
So, the area of the living room is:
Area = Length * Width
Area = 18 feet * 12 feet
Area = 216 square feet
Therefore, Larry needs 216 square feet of carpeting for her living room.
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24. Find K between M(1, -3) and N(4, 6) such that the
ratio of MK to KN is 1:2.
Answer:
Find K between M(1, -3) and N(4, 6) such that the
ratio of MK to KN is 1:2.
Step-by-step explanation:
Find K between M(1, -3) and N(4, 6) such that the
ratio of MK to KN is 1:2.
The coordinates of point K are (2, 0).
Given that there are three points M, K and N, such that M = (1, -3) and N = (4, 6) and the ratio of MK to KN is 1:2.
We need to find the coordinates of point K.
To find point K between M(1, -3) and N(4, 6) such that the ratio of MK to KN is 1:2, we can use the concept of section formula.
Let's assume the coordinates of point K are (x, y).
The section formula states that if a point K divides a line segment MN in the ratio m:n, then the coordinates of K are given by:
x = (n·x₁ + m·x₂) / (m + n)
y = (n·y₁ + m·y₂) / (m + n)
where (x₁, y₁) are the coordinates of point M and (x₂, y₂) are the coordinates of point N.
In this case, the ratio of MK to KN is 1:2, so m = 1 and n = 2.
Substituting the coordinates of M(1, -3) and N(4, 6) into the formula:
x = (2·1 + 1·4) / (1 + 2)
= (2 + 4) / 3
= 6 / 3 = 2
y = (2·(-3) + 1·6) / (1 + 2)
= (-6 + 6) / 3
= 0 / 3
= 0
So, the coordinates of point K are (2, 0).
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(BRAINLIEST QUESTION)
Which of the following is a complex number where a ≠ 0 and b ≠ 0? A -7 B Pi C 4 + 9i D 2+√3
Answer:
C 4 + 9i
Step-by-step explanation:
A complex number is of the form
a+bi where a is the real part and b is the imaginary part
4 + 9i
d(n)d, left parenthesis, n, right parenthesis models the duration (in seconds) of the time it took for hailey to run her n^{th}n th n, start superscript, t, h, end superscript lap. nnn 333 777 999 d(n)d(n)d, left parenthesis, n, right parenthesis 858585 999999 110110110
The given expression, \(d(n)d(n)d(n)\), represents the duration in seconds for Hailey to run her \(n^{th}\) lap. The specific values provided, 333, 777, 999, correspond to the durations of the 3rd, 7th, and 9th laps, respectively. The values 858585, 999999, and 110110110 are unrelated and do not provide any additional information about lap durations.
The expression \(d(n)d(n)d(n)\) suggests that each lap duration is represented by the function \(d(n)\), where \(n\) denotes the lap number. The specific values given (333, 777, 999) correspond to the 3rd, 7th, and 9th laps, respectively. However, the remaining values (858585, 999999, 110110110) do not appear to have a direct connection to the lap durations or the function \(d(n)\).
Without further information or a specific pattern, it is difficult to interpret the significance of the remaining values. It's important to note that more context or information about the pattern or relationship between the values would be necessary to provide a more detailed explanation or analysis.
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PLEASE I need this asap it’s due tonight {11/7/2022} PLEASE
Answer:
7 \(\frac{7}{8}\)
Step-by-step explanation:
Multiply 3 1/2 by 2 1/4
Convert to improper fraction to make it simpler:
7/2 times 9/4 = 7 7/8 square millimeters.
Hope this helps :)
Answer:
Step-by-step explanation:
3.5 x 2.25 = 7.875 or 7 and 7/8
Can anyone help me with this question?
Answer:
the answer is number 2
Step-by-step explanation:
hope this helps u
If Edward makes $197 in a week and sells: 5 pairs of jeans,5 T-shirts, and 3 hats, and buys 3 of his meals. How many pairs of shorts did he sell?
Answer:
None
Step-by-step explanation:
Based on my knowledge, in this whole statement aren't talking about pairs of shorts, it was talking about different clothes.
HELP!! View image! THANK U
The probability of selecting no Independents is $\frac{{7 \choose 2} + {8 \choose 2}}{{20 \choose 2}} = \frac{91}{190} \approx 0.4789$.
Mrs. Smith uses an automatic bill pay service to pay their monthly electric bill. So far this
year they have paid $843.36 over 8 months. How much has Mrs. Smith paid per month?
Why Did The Stage Manager Put Paste On The Programs?
Because he wanted the audience glued to their seats, the stage manager pasted paste on the programmes.
Even before the first rehearsal, the stage manager is involved in the performance. During
He or she is in charge of preparing all the materials during what is known as "PREP WEEK."
for the opening of the rehearsals. The first step is for actors to completely TRUST the stage management.
Being structured from the first minute of the first rehearsal is essential to gaining that trust.
The stage manager is accountable for attending each rehearsal during the rehearsal time to
aid the director, create CUE SHEETS, let the actors know what the director wants, and all the
Develop strong working connections with DEPARTMENT HEADS, who are perhaps the most crucial, everyone involved in the show.
The director frequently moves on to another production after the first performance.
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can someone please help me on Carnegie??
Answer:
First tell me what's Carnegie
about 42% of a population are of a particular ethnic group. 180 people are randomly selected from this population. round all answers to 3 decimal places. convert the percentage of the population to a decimal: p: .42 correct compute the mean and standard of this size sample of this binomial distribution: mean: 75.6 correct standard deviation: 6.622 correct
The percentage of the population in decimal is p=0.42
The mean of the sample of the binomial distribution=75.6
The standard deviation of the sample of the binomial distribution=6.622
How to convert a decimal to a percentage?
To convert a decimal number into a percentage value, multiply the decimal by 100.
What is binomial distribution?
The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.
Given that,
p = 42% = 0.42
q = 1 - p = 1 - 0.42 = 0.58
n = 180
Using the binomial distribution,
mean = \(n \times p\) = \(180 \times 0.42\) = 75.6
standard deviation = \(\sqrt{n \times p \times q}\) = \(\sqrt{180 \times 0.42 \times 0.58}\) = 6.622
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The percentage of the population in decimal is p=0.42
The mean of the sample of the binomial distribution=75.6
The standard deviation of the sample of the binomial distribution=6.622
How to convert a decimal to a percentage?
To convert a decimal number into a percentage value, multiply the decimal by 100.
What is binomial distribution?
The binomial distribution gives out either success or failure as two possible results in an experiment, is the discrete probability distribution used in probability theory and statistics.
Given that,
p = 42% = 0.42
q = 1 - p = 1 - 0.42 = 0.58
n = 180
Using the binomial distribution,
mean = 75.6
standard deviation = 6.622
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College Algebra Applied Problem Four A medical professional is helping an individual balance their diet. The individual has asked for some certain foods to remain in their diet. They will always get 600 calories from carbohydrates. The individual says that they can be flexible about how many calories they consume in fats and proteins. The goal of the diet is to keep the individual at 1,800 calories per day ( 600 of which come from carbohydrates). Part One Write an equation that models the amount of calories from fats " f ' and protein "p" that the individual can consume in order to reach 1,800 calories. Part Two The diet being prescribed to the individual calls for calories from protein to be three times the calories from fat. Write an equation based on this information that relates calories from protein "p" to calories from fat " f ". Part Three Use your equations from parts "b" and "c" to solve this system of equations and determine the amount of calories that the individual should consume from fats and proteins. Part Four If the individual no longer required 600 calories from carbohydrates, and instead said that they would be flexible about how many carbohydrates they would consume, how many variables would there be for this problem on calories?
The system equation that models the amount of calories from fats (f) and proteins (p) that the individual can consume to reach 1,800 calories is: f + p = 1,200. The equation that relates calories from protein (p) to calories from fat (f) based on the prescribed diet is: p = 3f. Solving the system of equations, we find that the individual should consume 300 calories from fats and 900 calories from proteins.
To find the equation that models the amount of calories from fats and proteins that the individual can consume in order to reach 1,800 calories, we consider that 600 calories will come from carbohydrates. Since the total goal is 1,800 calories, the remaining calories from fats and proteins should add up to 1,800 - 600 = 1,200 calories. Therefore, the equation is f + p = 1,200.
Based on the prescribed diet, the individual is required to consume calories from protein that are three times the calories from fat. This relationship can be expressed as p = 3f, where p represents the calories from protein and f represents the calories from fat.
To solve the system of equations, we substitute the value of p from the second equation into the first equation: f + 3f = 1,200. Combining like terms, we get 4f = 1,200, and dividing both sides by 4 yields f = 300. Substituting this value back into the second equation, we find p = 3(300) = 900.
Therefore, the individual should consume 300 calories from fats and 900 calories from proteins to meet the diet requirements and achieve a total of 1,800 calories.
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Solve inequality pls help
Required solution set is x ≤ -13 or -3 ≤ x ≤ -2 or 2 ≤ x ≤ 3 or 5 ≤ x
How to solve the given inequality?
To solve this inequality, we need to determine the values of x that make the expression greater than or equal to zero.
First, let's simplify the expression:
(|x²-4|-5)(|x+5|-8) ≥ 0
(|x-3|-|x-1|)|x|
Notice that the denominator can never be zero because |x| is always positive, so we don't need to worry about any division by zero.
Next, we can use a sign chart to determine the sign of the expression for different intervals of x.
Let's start with the factors in the numerator:
|x²-4|-5 ≥ 0 if |x²-4| ≥ 5
|x+5|-8 ≥ 0 if |x+5| ≥ 8
Using the definition of absolute value, we can rewrite these inequalities as:
x²-4 ≥ 5 or x²-4 ≤ -5, which simplifies to x ≤ -3 or x ≥ 3
x+5 ≥ 8 or x+5 ≤ -8, which simplifies to x ≥ 3 or x ≤ -13
So the intervals where the numerator is non-negative are
x ≤ -13
-3 ≤ x ≤ -2
2 ≤ x ≤ 3
x ≥ 3
Now let's look at the denominator. Notice that |x-3| is always greater than or equal to |x-1|, so we can simplify the denominator as:
(|x-3|-|x-1|)|x| = (|x-3|-(x-1))|x| = (|x-3|-x+1)|x|
We can use a similar sign chart to determine the sign of this expression for different intervals of x,
|x-3|-x+1 ≥ 0 if |x-3| ≥ x-1
|x-3|-x+1 ≤ 0 if |x-3| ≤ x-1
Using the definition of absolute value, we can rewrite these inequalities as:
x-3 ≥ x-1 or x-3 ≤ -(x-1), which simplifies to x ≤ 1 or x ≥ 5
x-3 ≤ x-1 or x-3 ≥ -(x-1), which simplifies to 1 ≤ x ≤ 5
So the intervals where the denominator is non-negative are
x ≤ 1
5 ≤ x
Now we can combine the intervals where the numerator and denominator are non-negative.
The solution set for the inequality is
x ≤ -13
-3 ≤ x ≤ -2
2 ≤ x ≤ 3
5 ≤ x
Therefore, the solution set is x ≤ -13 or -3 ≤ x ≤ -2 or 2 ≤ x ≤ 3 or 5 ≤ x.
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3y when y=45 ........
Answer:
\(135\)
Step-by-step explanation:
\(3y = 3 \times 45 = 135\)
Hope this helps ;) ❤❤❤
-1•f(-9)+7•g(6)=
A.32
B.34
C.36
D.38
74 pts! Please help me and provide an explanation
Answer:
D
Step-by-step explanation:
So we want to evaluate the expression:
\(-1\cdot f(-9)+7\cdotg(6)\)
First, let's figure out the value of f(-9) and g(6).
From the graph, we can see that a point on f(x) is (-9,4). In other words, f(-9)=4.
Also, a point on g(x) is (6,6). This means that g(6)=6.
Substitute:
\(=-1\cdot(4)+7\cdot(6)\)
Multiply:
\(=-4+42\)
Add:
\(=38\)
So the answer is D.
And we're done!
You should always measure your following distance in.
You should always measure your following distance in seconds. The correct answer for measuring following distance is A.
It is important to keep a safe distance between vehicles on the road, which is known as following distance. Measuring following distance in seconds is a more reliable method than measuring it in car lengths or feet.
The recommended following distance is typically two to three seconds. This means that when the vehicle in front of you passes a fixed point on the road, you should not reach that same point before two to three seconds have elapsed.
Measuring in seconds is more effective as it takes into account the speed at which both vehicles are traveling. If you measure in car lengths or feet, it may not be accurate as the length of the cars may differ, and it does not account for the speed of the vehicles. By measuring in seconds, you can maintain a safe distance and reduce the risk of accidents or collisions.
The correct answer for measuring following distance is A.
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Complete question is:
You should always measure your following distance in __________
A. seconds. B. car lengths. C. feet.
I WILL GIVE YOU BRAINLIEST ANSWER IF YOU GET IT CORRECT!
Laura is donating two boxes of books
to the library. One box has a mass of
9 kilograms. The other box has a mass
of 7 kilograms. What is the total mass
of the two boxes in grams?
Answer:
16000 grams
Step-by-step explanation:
9(1000) + 7(1000) = 16000
What is 10x + 32y if y = 3, and x = 9.
Answer:
186
Step-by-step explanation:
10×9+32×3
90+96
=186
HOPE THIS HELP YOU
Answer: Hi!
First we will substitute the variables and then solve the equation.
The equation will look like this after we substitute:
10(9) + 32(3)
We will multiply:
(90) + (96)
We will add:
186
This equation is equal to 186.
Hope this helps!
In 2005, Cory put $5,000 in an account that grows in value by 3.7% per year. what is the value of the account in 2020?
The value of the account in 2020 is given as $8622.86.
What is compound interest?The compound interest is a form of interest where the rate of interest is applied on the amount obtained after every interval of time.
The amount of one interval of time becomes the principal to the next one.
Suppose in 2005 t = 0.
Then, in the year 2020 t = 15.
Now, the given question can be solved by finding the Amount using the expression as below,
P(1 + r/100)ⁿ
Where p, r and n are the principal, rate and time for the compounding.
Substitute all the corresponding values to obtain,
A = 5000(1 + 3.7/100)¹⁵
= 5000 × 1.037¹⁵ = 8622.86
Hence, in 2020 the money invested in the account becomes as $8622.86.
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PLEASE I NEED THIS QUICK!!!!!
Susan wants to make pumpkin bread and zucchini bread for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her recipe for one loaf of pumpkin bread uses 2 eggs and 3 cups of flour. Her recipe for one loaf of zucchini bread uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and zucchini bread loaves for $4 each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of zucchini bread Susan bakes.
What is the objective function for the problem?
P = 15x + 16y
P = 5x + 7y
P = 5x + 4y
P = 4x + 5y
I will give you brainliest!!!!! Use the substitution method to solve for the system of equations. x+2y=6 y=x-3
Answer:x=4 y =1
Step-by-step explanation:
your welcome
Answer:
x = 4, y = 1
Step-by-step explanation:
Substitute the y in the first equation for x-3
X + 2(x-3) = 6
3x -6 = 6
3x = 12
x = 4
Plugging 4 into the second equation
y = 4-3
y = 1
Ricky ran 7/16 of a Model before stopping to tie his shoe represent the distance he ran As a decimal then state if the decimal is terminating or repeating
Answer:
.4375, terminating
Step-by-step explanation:
Complete the square and solve.
x^2+3x=3
Please show how you get your answer!
Therefore, the solutions to the equation x² + 3x = 3 are x = -3/2 + √(21)/2 and x = -3/2 - √(21)/2.
What is equation?An equation is a mathematical statement that shows the equality of two expressions. It usually consists of two sides separated by an equal sign (=). The expressions on both sides of the equal sign can include numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division.
Here,
To complete the square for the expression x² + 3x, we need to add and subtract (3/2)² = 9/4 inside the parentheses, as follows:
x² + 3x = x² + 3x + 9/4 - 9/4
= (x + 3/2)² - 9/4
Now the left-hand side can be written as:
(x + 3/2)² - 9/4 = 3
Adding 9/4 to both sides, we get:
(x + 3/2)² = 3 + 9/4
= 21/4
Taking the square root of both sides, we get:
x + 3/2 = ±√(21)/2
Subtracting 3/2 from both sides, we get the two solutions:
x = -3/2 ± √(21)/2
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If smart please help me!!!!..!
Triangle DEF with vertices D(1, 2), E(3, 4), and F(1, 4), is reflected across the y-axis, and then its image is reflected across the line y = x. Which single transformation moves the triangle from its starting position to its final position?
Answer:
None of the other answer are correct. I HOPE IT WILL HELP YOU. ^ - ^In testing a certain kind of missile, target accuracy is measured by the average distance X (from the target) at which the missile explodes. The distance X is measured in miles and the sampling distribution of X is given by:X 0 10 50 100P(X) 1⁄12 1⁄6 1⁄3 5⁄12Calculate the mean and variance of this sampling distribution.a) mean = 60.00; variance = 2600.00b) mean = 55.00; variance = 37.64c) mean = 61.08; variance = 37.64d) mean = 60.00; variance = 1416.67e) mean = 61.08; variance = 1416.67
The value of mean is 59.8 and the variance of the sampling distribution is 1440.46
Given,
In the question:
The distance X is measured in miles and the sampling distribution of X is given by;
X :- 0 10 50 100
P(X) : - 1 /12 1/6 1/3 5/12
Calculate the mean and variance of this sampling distribution.
Now, According to the question:
The variance of a random variable provides an idea of the dispersion of the random variable with respect to its hope. It is then defined as shown in the image.
Then you first calculate E [x] and E [\(x^{2}\)], and then be able to calculate the variance.
E[x] = 0 × 1/12 + 10 × 1/6 + 50 × 1/3 + 100 × 5/12
E[x] = 1.6 + 16.6 + 41.6
Mean/ E[X] = 59.8
So E[X]²= 59.8² = 3576.04
On the other hand
E[\(x^{2}\)] = \(0^2\) × 1/12 + \(10^2\) × 1/6 + \(50^2\) × 1/3 + \(100^2\) × 5/12
E[\(x^{2}\)] = 0 + 16.6 + 833.3 + 4166.6
E[\(x^{2}\)] = 5016.5
Then the variance will be:
Var[x]= E[\(x^{2}\)] - E[X]²
Var[x] = 5016.5 - 3576.04
Var[x] = 1440.46
Hence, The value of mean is 59.8 and the variance of the sampling distribution is 1440.46
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