The crime rate in New York City has been steadily dropping over the past decades. In 1970, the murder rate was 15.8 per 100,000 people. In 2012, it had dropped to 3.5 per 100,000 people. What was the rate of decline?
Is 0.5 equal to 9/18
Is the difference of two rational numbers always rational? Explain
Solve the system by substitution . 2x+y=-11 3x-4y=11
(3,5)
(-5,-3)
(-3,-5)
(5,3)
A country's people consume 6.6 billion pounds of candy (excluding chewing gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 303 million.
Final answer:
To find the candy consumption per person per month, divide the total consumption of candy by the population and then divide by 12 months. The calculation shows that each person consumes approximately 1.815 pounds of candy per month.
Explanation:
To calculate the amount of candy consumed per person per month, we first need to divide the total annual consumption by the population of the country. The total annual consumption is 6.6 billion pounds of candy, and the population is 303 million people. So, the annual consumption per person is:
(6.6 billion pounds) / (303 million people) = 21.78 pounds/person/year.
Now, to find the monthly consumption per person, we divide the annual consumption per person by 12 (months in a year):
(21.78 pounds/person/year) / (12 months/year) = 1.815 pounds/person/month.
Therefore, each person in the country consumes approximately 1.815 pounds of candy per month.
A population has a mean of 40 and a standard deviation of 15. a sample of size 100 is taken at random from this population. the standard deviation of the sampling distribution of sample mean equals:
Find dy/dx
√(x+y) = x - 2y
Determine the unit rate of a marathon runner who travels 5/2 miles in 1/4 hour.
What is .0091 rounded to thousands?
A small piece of metal weighs 0.77 gram. What is the value of the digit in the tenths place
what is the y intercept of c=0.05m+4.95
can someone please help me
The total area of this shape is 44 square inches. The area of the triangle is 20 square inches. Write and solve an equation to find the area of the rectangle
Answer:
The equation is: x + 20 = 44
The area of the rectangle is 24 inches.
Step-by-step explanation:
The total area of the shape is 44 square inches.
The area of the triangle is 20 square inches.
We need to find the area of the rectangle.
Total area = Area of the triangle + Area of the rectangle.
Let "x" be the area of the rectangle.
So the equation is
44 = 20 + x
This can be written as x + 20 = 44
Now let's find the value fo x.
Subtract 20 from both sides, we get
x + 20 - 20 = 44 - 20
x = 24 square inches.
Therefore, the area of the rectangle is 24 inches.
Suppose a box contains 10 red balls, 10 green balls, and 10 orange balls. you will be choosing 3 balls from the box without replacement. 13. what is the probability of drawing an orange on the first draw and a red on the second draw?
The sales tax for an item was $24.50 and it cost $350 before tax. Find the sales tax rate.
To determine the sales tax rate, divide the sales tax amount by the item's pre-tax cost and convert to a percentage, yielding a 7% sales tax rate for this scenario.
To find the sales tax rate, you need to divide the amount of sales tax by the cost before tax and then convert it to a percentage. For an item that cost $350 before tax and had a sales tax of $24.50:
Divide the sales tax ($24.50) by the cost before tax ($350): $24.50 \/ $350 = 0.07.
Convert the decimal to a percentage: 0.07 x 100 = 7%.
Therefore, the sales tax rate for the item is 7%.
1/5 of the animals at a zoo are monkeys. 5/7 of the monkeys are male. What fraction of the animals at the zoo are male monkeys?
Answer : The fraction of the animals at the zoo are male monkeys, [tex]\frac{1}{7}[/tex]
Step-by-step explanation :
As we are given that:
Fraction of animals at a zoo are monkeys = [tex]\frac{1}{5}[/tex]
Fraction of monkeys are male = [tex]\frac{5}{7}[/tex]
So,
Fraction of the animals at the zoo are male monkeys = Fraction of animals at a zoo are monkeys × Fraction of monkeys are male
Fraction of the animals at the zoo are male monkeys = [tex]\frac{1}{5}\times \frac{5}{7}[/tex]
Fraction of the animals at the zoo are male monkeys = [tex]\frac{1}{7}[/tex]
Thus, the fraction of the animals at the zoo are male monkeys, [tex]\frac{1}{7}[/tex]
A woman who is 64 inches tall has a shoulder width of 16 inches. Write an equation relating height to the width. Find the height of a woman who has a shoulder width of 18.5 inches.
The height of woman who has a shoulder width of 18.5 inches is 74 inches
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the height of a woman who has a shoulder width of 18.5 inches be = A
Now , the equation will be
The height of the woman be = 64 inches
The shoulder width of the woman be = 16 inches
So , the equation will be
Let the height of a woman who has a shoulder width of 18.5 inches be = 18.5 x ( height of the woman be / shoulder width of the woman )
Substituting the values in the equation , we get
The height of a woman who has a shoulder width of 18.5 inches be A =
18.5 x ( 64 / 4 )
The height of a woman who has a shoulder width of 18.5 inches be A =
18.5 x 4
The height of a woman who has a shoulder width of 18.5 inches be A =
74 inches
Therefore , the value of A is 74 inches
Hence ,
The height of woman who has a shoulder width of 18.5 inches is 74 inches
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Simplify the expression by first substituting values from the table of exact values and then simplifying the resulting expression.
(tan 45° + tan 60°)2
In Christopher Marlowe's The Tragical History of Doctor Faustus, why did Faustus begin to believe that human salvation was impossible? Faustus first began to believe that human salvation was impossible because In addition, he had
Answer:
he read the scripture and saw that all human beings sin and are doomed
Step-by-step explanation:
Pre Calc question please help!
Out of 25 students in mrs. Green class 19 have a pet what percent of students in mrs. Green class don't have a pet
(b) we often read that iq scores for large populations are centered at 100. what percent of these 78 students have scores above 100? (round your answer to one decimal place.)
Round to the nearest hundred thousand
89, 659
Answer:
The nearest hundred thousand of the provided number is 100,000.
Step-by-step explanation:
Consider the provided number 89, 659
According to place value.
Hundred Th. Ten Th. Thousands hundreds Tens Ones
100,000 10,000 1000 100 10 1
We need to round it to the nearest hundred thousand.
The provided number can be written as 089,659
The digit at the hundred thousand place is 0.
The rule of rounding a number is:
If 0, 1, 2, 3, or 4 follow the number, then no need to change the rounding digit.
If 5, 6, 7, 8, or 9 follow the number, then rounding digit rounds up by one number.
Here, the number at the ten thousands place is 8, so to round up the number increase the digit of hundred thousand place by 1.
The digit at the hundred thousand place is 0 so increase it by 1.
Thus, the number can be rounded to the nearest hundred thousand is shown as:
100,000
The nearest hundred thousand of the provided number is 100,000.
lynne took a taxicab from her office to the airport. she had to pay a flat fee of $2.05 plus $0.90 per mile. the total cost was $5.65. how many miles was the taxi trip?
The distance traveled by the taxi on trip is 4 miles.
What is a word problem?A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Flat fee of a taxicab = $2.05
Fees per mile = $0.90
The total cost = $5.65
Distance traveled by the taxi on trip is
⇒ [tex]\frac{5.65-2.05}{0.90}[/tex]
⇒ [tex]\frac{3.60}{0.90}[/tex]
⇒ [tex]4[/tex]
Hence we can conclude that the distance traveled by the taxi on trip is 4 miles.
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14+3n=8n-3(n-4) this is really hard please help me
How are the numbers 579 and 597 different
597 is a greater value than 579.
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
Rounding some number to a specific value is making its value simpler mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
We have to find How are the numbers 579 and 597 different to each other.
As we can see that the last two digit of the numbers 79 and 97 are flipped.
We know that 97 is greater than 79.
Therefore, 597 is a greater value than 579.
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Give the derivative of f(x) = arctan(e^(5x)) at the point where x=0
The derivative of f(x) = arctan(e^(5x)) at x=0 is 2.5, using chain rule and the derivative of the arctan function.
Explanation:The function given is f(x) = arctan(e^(5x)). To find its derivative at the point where x=0, we have to use the chain rule and the derivative of the arctan function.
Firstly, the derivative of arctan(u) is 1 / (1 + u^2). Therefore, if u = e^(5x), then the derivative of arctan(e^(5x)) is: 1 / (1 + (e^(5x))^2).
Secondly, because u = e^(5x), the derivative of u is 5e^(5x). We incorporate this using the chain rule to get the derivative: 5e^(5x) / (1 + (e^(5x))^2).
Finally, substitute x=0 into the derivative equation. We find that the derivative of the function at x=0 is: 5 / (1 + 1) = 2.5.
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the sum of three consecutive even numbers is 42. The sum can be represented by the equation n+(n+2)+(n+4)=42. what does n represent
Use distributive property and mental math to find the product
7x49
how do i find the range and domain? please leave detailed steps because i'm struggling with this :(