The given statement , police departments continue to control the sole statistical data available to measure homicide rates in the united states is false.
Domestic disagreements, interpersonal violence, violent fights over land resources, intergang violence over turf or control, and predatory violence and murders by armed organizations are all examples of intentional homicides.
Intentional homicide does not cover all intentional killing; the distinction is usually in the manner in which the killing is carried out.
Homicide is typically committed by individuals or small groups, but killing in armed conflict is typically performed by highly cohesive organisations of up to several hundred members and is thus typically omitted.
The 2020 murder/homicide rate in the United States was 6.52,
a 28.64% rise over 2019.
The murder/homicide rate in the United States in 2019 was 5.07,
up 1.19% from 2018.
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How many two-digit prime numbers have a units digit of $7$?
Answer:
Five
Step-by-step explanation:
There are 9 two-digit numbers with a units digit of 7:
17, 27, 37, 47, 57, 67, 77, 87, 97
Of these, 4 are composite numbers:
27 = 3³
57 = 3×19
77 = 7×11
87 = 3×29
The remaining 5 are prime numbers:
17, 37, 47, 67, 97
the manager of a paint supply store wants to determine if the mean amount of paint contained in 1- gallon cans purchased from a nationally known manufacturer is actually more than 1-gallon. it is known that for this manufacturer the population standard deviation of the amount of paint is equal to 0.01 gallons. a random sample of 55.0 cans is selected, and the mean amount of paint per 1-gallon can is 0.987 gallons. use a significance level of 0.05. is (are) the critical region(s) for this test in the left tail, right tail, or both tail(s)?
In this case, the critical region will be in the right tail.
To answer this question, you need to conduct a hypothesis test to determine whether the mean amount of paint in 1-gallon cans from this manufacturer is significantly different from 1 gallon. The null hypothesis for this test is that the mean amount of paint in 1-gallon cans from this manufacturer is equal to 1 gallon, and the alternative hypothesis is that it is greater than 1 gallon.
To determine the critical region(s) for this test, you need to decide on the significance level, which is given as 0.05. This means that you will reject the null hypothesis if the test statistic falls in the critical region with a probability of less than 0.05.
In this case, since the alternative hypothesis is that the mean amount of paint in 1-gallon cans is greater than 1 gallon, the critical region will be in the right tail. This means that you will reject the null hypothesis if the test statistic falls in the right tail with a probability of less than 0.05.
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You are taking a road trip with a friend. If you and your friend split the driving, the trip will take you no more than 15 hours to complete. You want to drive less than 8 hours. Your friend agrees to drive at least 10 hours. Let x represent the hours you will drive, and y represent the hours your friend will drive. Which of the following would NOT be an inequality in this system?
Answer:
The inequality x + y > 15 would not be valid in this system. This inequality states that the total number of hours that you and your friend drive together is greater than 15 hours, but we know that the trip will take no more than 15 hours to complete. Therefore, this inequality is not valid.
The other inequalities in the system are:
x < 8, because you want to drive less than 8 hours
y > 10, because your friend agrees to drive at least 10 hours
x + y <= 15, because the trip will take no more than 15 hours to complete.
These inequalities are all valid and can be used to determine the possible number of hours that you and your friend will drive on your road trip.
Write the equation of a line in slope-intercept form that passes through (−2,6) and is perpendicular to x−2y=7
The solution is y = -2x + 2
The equation of line that passes through the point P ( -2 , 6 ) and is perpendicular to the line x - 2y = 7 is given by y = -2x + 2
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Let the point be P = P ( -2 , 6 )
The line is perpendicular to the line x - 2y = 7
So , the product of the slopes of the lines will be -1
And , m₁ x m₂ = -1
Now , the slope of the line x - 2y = 7 is calculated as
x - 2y = 7
Adding 2y on both sides of the equation , we get
2y + 7 = x
Subtracting 7 on both sides of the equation , we get
2y = x - 7
Divide by 2 on both sides of the equation , we get
y = x/2 - 7/2
The equation is of the form y = mx + b where m is the slope and b is the y-intercept
So , the slope of the line m₁ = 1/2
Now , since the lines are perpendicular
the product of the slopes of the line will be -1
And , m₁ x m₂ = -1
Substituting the values in the equation , we get
1/2 x m₂ = -1
Multiply by 2 on both sides of the equation , we get
m₂ = -2
Therefore , the slope of the line A is -2
Now , the equation of line A is given by the formula
y - y₁ = m ( x - x₁ )
Substituting the values in the equation , we get
y - 6 = -2 ( x - ( - 2 ) )
y - 6 = -2 ( x + 2 )
y - 6 = -2x - 4
Adding 6 on both sides of the equation , we get
y = -2x + 2
Hence , the equation of line is y = -2x + 2 where slope of the line is -2 and the y intercept is 2
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Aniyah invests $2300 in one account and $1400 in an account paying 4 % higher interest. At the end of one year she had earned $130 in interest. At what rates did she invest
The rate of interest in one account whose investment is $2300 will be 3.21%.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
I = (PRT)/100
Where P is the principal, R is the rate of interest, and T is the time.
Aniyah puts $2300 in one record and $1400 in a record paying 4 % higher interest. Toward the finish of one year, she had procured $130 in interest.
Let 'x' be the interest. Then the equation is given as,
(2300 × x × 1)/100 + (1400 × 4 × 1) / 100 = 130
Simplify the equation, then we have
23x + 56 = 130
23x = 74
x = 3.21%
The pace of revenue in one record whose speculation is $2300 will be 3.21%.
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Mr. Jacks gave the students in his science class a test with two types of questions: multiple choice and short answer.
. There were 41 questions worth a total of 100 points.
The multiple choice questions were worth 2 points each, and the short answer questions were worth 4 points each.
Let Mrepresent the number of multiple choice questions on the test and Srepresent the number of short answer questions on the test. Which system of
equations can be used to determine the number of each type of question on the test? pls help
Answer:
Choice B:
2M + 4S = 100
M + S = 41
Step-by-step explanation:
2M [multiple choice questions were worth 2 points each]
4S [short answer questions were worth 4 points each]
= 100 [worth a total of 100 points.]
2M + 4S = 100
M + S = 41 [There were 41 questions]
Question
If a car travels at an average speed of x miles per hour, how far would the car travel in 90 minutes?
Omiles
3 miles
O 2x miles
02 miles
The distance travelled by car in 90 minutes will be 1.5x miles. The correct option is B.
What is speed?Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance. Speed is the ratio of the distance travelled by time. The unit of speed in miles per hour.
Given that If a car travels at an average speed of x miles per hour. The distance travelled by car in 90 minutes will be calculated as,
x miles ⇒ 1 hours
x miles ⇒ 60 minutes
1 minute ⇒ x / 60 miles
90 minutes ⇒ ( 90x) / 60
90 minues ⇒ 1.5x miles
The missing options are given below.
A. 1.5x miles
B. 3x miles
C. 2x miles
D. 4x miles
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help i need perimeter of these
Answer: A= 52cm B= 94mm C= 9m D= 17cm
Step-by-step explanation:
A) You first need to find the missing sides by doing
11-9= 2
and 15-9= 6
you then add it all together
6+2+9+9+15+11=52cm
B) You first need to find the missing sides by doing
25-18=7
and 22-6= 16
you then add it all together
25+22+18+16+7+6=94mm
C) You first need to find the missing sides by doing
0.5+1=1.5 then 2.5-1.5=1
and 1.2+0.8=2 then 2-0.5=1.5
you then add the numbers all together
1+1.5+0.8+1+0.5+0.5+1.2+2.5=9m
D) You first need to find the missing sides by doing
2.5+1= 3.5 then 3.5-2=1.5
and 1.5+2.5=4 then 5-4=1
you then add all the numbers together
2.5+2.5+1.5+1+5+2+1+1.5=17cm
Kaitlyn anI Jamie Watson opened a savings account with a $2,000 deposit on January 1. The account pays interest at 6% compounded semiannually. On July 1, they deposited another $2,000. What is the amount of (a) their account on July 1, (b) the account one year later on January 1, and (c) the compound interest?
Answer:
Step-by-step explanation:
a) The amount of their account on July 1 can be found by calculating the balance of the account at the end of the first six months and then adding the second $2,000 deposit:
balance at end of first 6 months = $2,000 * (1 + 0.06/2)^2 = $2,060.60
total balance on July 1 = $2,060.60 + $2,000 = $4,060.60
b) The balance of the account one year later on January 1 can be found by calculating the balance at the end of the second six months and adding it to the balance at the end of the first six months:
balance at end of second 6 months = $2,060.60 * (1 + 0.06/2)^2 = $2,123.36
total balance on January 1 = $2,123.36 + $2,060.60 = $4,183.96
c) The compound interest can be found by subtracting the initial deposit from the balance one year later:
compound interest = $4,183.96 - $2,000 = $2,183.96
a line passes through point (1, 6) and has a slope of 2. what is the y-intercept?
A line passes through point (1, 6) and has a slope is y=8x-14 We want to write the equation of the line that passes through (1, -6) and has a slope of 8 in slope-intercept form
What is equation?
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept
As we are already given the slope (8), we can immediately plug that into the equation
So far, the equation of the line is:
y=8x+b
Now we need to find b
The line passes through the point (1, -6), which means that the point is a solution to the equation; when plugged into the equation, it'll create a true statement. This can help us find unknown variables, like b
Substitute 1 as x and -6 as y in the equation to solve for b
-6=8(1)+b
Multiply
-6=8+b
Subtract 8 from both sides
-14=b
Substitute -14 as b into the equation
y=8x-14
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a star made by surrounding a regular hexagon with triangles. Why is an interiornangle in the hexagon 120?
Answer:
Below
Step-by-step explanation:
See image:
in a hypothetical case-control study of female participants regarding exposure to emf's and breast cancer, the following data were obtained: 11 cases exposed, 108 controls exposed, 5 cases not exposed, 436 controls not exposed. what is the odds ratio for the association between exposure to emf's and breast cancer?
The odds ratio for the association between exposure to emf's and breast cancer would be (11/5) / (108/436) = 2.2.
1. Calculate the odds of exposure for cases: 11/5 = 2.2
2. Calculate the odds of exposure for controls: 108/436 = 0.25
3. Divide the odds of exposure for cases by the odds of exposure for controls: 2.2/0.25 = 8.8
4. Finally, the odds ratio for the association between exposure to EMF's and breast cancer is 2.2.
The odds ratio for the association between exposure to EMF's and breast cancer can be calculated by dividing the odds of exposure for cases by the odds of exposure for controls. To calculate this, first take the number of cases exposed (11) and divide it by the number of cases not exposed (5). This will give the odds of exposure for cases (2.2). Second, take the number of controls exposed (108) and divide it by the number of controls not exposed (436). This will give the odds of exposure for controls (0.25). Finally, divide the odds of exposure for cases (2.2) by the odds of exposure for controls (0.25). This will give the odds ratio for the association between exposure to EMF's and breast cancer (2.2).
Odds ratio = (11/5) / (108/436) = 2.2
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-4x + 3 = 2(x - 1) Solve for x
Answer:
x = [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
- 4x + 3 = 2(x - 1) ← distribute parenthesis by 2
- 4x + 3 = 2x - 2 ( subtract 2x from both sides )
- 6x + 3 = - 2 ( subtract 3 from both sides )
- 6x = - 5 ( divide both sides by - 6 )
x = [tex]\frac{-5}{-6}[/tex] = [tex]\frac{5}{6}[/tex]
I need help please ok okokokookokook
Answer:
should be angle 7, 1, and 3
hope i could helpppp
Answer: 1 , 7 , 3
Step-by-step explanation:
The angles that habe the same measurement of angle 5 are;
1 , 7 , 3
Because the lines are parallel, these angles correspond to angle 5.
Identify the pattern.
-4. -5.5, -7, -8.5, -10, -11.5, -13,..
Answer:
The pattern is that each number in the sequence is the previous number minus 1.5. For example, -5.5 is -4 minus 1.5, -7 is -5.5 minus 1.5, and so on.
Answer:
-1.5
Step-by-step explanation:
You take two of the variables in the pattern and subtract them with the second one being the minuend, and the first being the subtrahend.
For example we will use -4 and -5.5
(-5.5) - (-4) = -1.5
There is a negative sign present so it indicates subtraction towards the pattern.
Hence, the pattern change rate is -1.5
The sum of 18 and a number, x, equals negative 40.
Answer: -58
Step-by-step explanation:
Start by looking for key words and numbers in your question/statement:
The sum of 18 and a number, x, equals negative 40.
Notice the word sum.
Sum is addition so x plus 18 is equal to -4.
Now that we have our equation (x+18=-40) we can solve by reversing the addition with subtraction:
X+18=-40
-18. -18
X=-58
Now that you know what X is equal to, check it by plugging it back into the equation.
-58+18=-40
It fits! So -58 is your answer.
Hope this helped;)
Help help help help help
Net profit is a company's profit after all expenses have been deducted. What remains after deducting fixed costs from gross profit is the net profit.
Why do we calculate net profit?Subtracting the cost function from the revenue function yields the profit function. Assume that the profit is denoted by P(x), the revenue is denoted by R(x), the cost is denoted by C(x), and x is the quantity of goods sold. Consequently, the profit function is denoted by P(x) = R(x0 - C) (x).
Total Revenue - Total Expenses = Net Profit
A company that sells online has a $350,000 revenue and a $50,000 cost of products sold.The net income formula is defined as the difference between the total revenue earned and the total costs.Total revenue minus all costs equals net income.
The money a corporation makes after deducting interest, operational costs, and taxes over a specific time period is known as net profit.Profit After Tax is another name for Net Profit (PAT).
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∠Cis a right angle and AB=14 miles, determine the length of BC and AC.
The length of BC is approximately 5.72 miles and the length of AC is approximately 12.67 miles.
Let's represent the length of the side opposite angle A "BC" and the length of the side adjacent to angle A "AC". We can then use the sine function to find BC:
sin(A) = BC / AC
Substituting the given values, we get:
sin(24°) = BC / 14
We can use a calculator or look up the value of sin(24°) to get:
sin(24°) ≈ 0.406
Solving for BC, we get:
BC = 14 * sin(24°) ≈ 5.72
To find AC, we can use the cosine function:
cos(A) = AC / AC
Substituting the given values, we get:
cos(24°) = AC / 14
We can use a calculator or look up the value of cos(24°) to get:
cos(24°) ≈ 0.913
Solving for AC, we get:
AC = 14 x cos(24°) ≈ 12.67
Thus, BC is about 5.72 miles long while AC is about 12.67 miles in length.
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(x-14)÷7=12 I just need help
Answer:
x = 98
Step-by-step explanation:
Solve for x:
(x - 14)/7 = 12
Multiply both sides of (x - 14)/7 = 12 by 7:
(7 (x - 14))/7 = 7×12
(7 (x - 14))/7 = 7/7×(x - 14) = x - 14:
x - 14 = 7×12
7×12 = 84:
x - 14 = 84
Add 14 to both sides:
x + (14 - 14) = 14 + 84
14 - 14 = 0:
x = 84 + 14
84 + 14 = 98:
Answer: x = 98
conducted a survey of 1007 adults in spearfish to learn about their major health-care concerns. the survey results showed that 574 of the respondents lack confidence they will be able to afford health insurance in the future. (12 points) what is the point estimate of the population proportion of adults who lack confidence they will be able to afford health insurance in the future. at 90% confidence, what is the margin of error? develop a 90% confidence interval for the population proportion of adults who lack confidence they will be able to afford health insurance in the future. develop a 95% confidence interval for this population proportion.
Develop a 90% confidence interval for the population portion is = ( 0.594 , 0.546 )
Develop a 95% confidence interval for this population proportion is =
( 0.599 , 0.54 )
We are given the following in the question:
Sample size, n = 1007 adults
Number of respondent that they will be able to afford health insurance in the future, x = 574
Point estimate of the population proportion
P = x/n
P = 574/1007
P = 0.57
Develop 90% Confidence Interval,
P + [tex]z_{critical}[/tex] * [tex]\sqrt{\frac{P(1-P)}{n} }[/tex]
[tex]z_{critical}[/tex] at a_0.10 = ± 1.64
Putting values, we get,
= 0.57 ± 1.64 * [tex]\sqrt{\frac{0.57(1-0.57)}{1007} }[/tex]
= 0.57 ± 1.64 * [tex]\sqrt{\frac{0.2451}{1007} }[/tex]
= 0.57 ± 1.64 * [tex]\sqrt{0.00024}[/tex]
= 0.57 ± 1.64 * 0.015
= 0.57 ± 0.024
= 0.57 + 0.024 , 0.57 - 0.024
= ( 0.594 , 0.546 )
Confidence interval 95% Confidence Interval,
P + [tex]z_{critical}[/tex] * [tex]\sqrt{\frac{P(1-P)}{n} }[/tex]
[tex]z_{critical}[/tex] at a_0.05 = ± 1.96
Putting values, we get,
= 0.57 ± 1.96 * [tex]\sqrt{\frac{0.57(1-0.57)}{1007} }[/tex]
= 0.57 ± 1.96 * [tex]\sqrt{\frac{0.2451}{1007} }[/tex]
= 0.57 ± 1.96 * [tex]\sqrt{0.00024}[/tex]
= 0.57 ± 1.96 * 0.015
= 0.57 ± 0.0294
= 0.57 + 0.0294 , 0.57 - 0.0294
= ( 0.599 , 0.54 )
Therefore,
Develop a 90% confidence interval for the population portion is = ( 0.594 , 0.546 )
Develop a 95% confidence interval for this population proportion is =
( 0.599 , 0.54 )
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Ms. Hall is buying Ms. Ward some gifts for Christmas. She is buying one big gift that
will cost $90 as well as some small gifts that cost $7 each.
1+90 +7
What is its :
Constant:
Coefficient
Equation:
When Ms. Hall is buying Ms. Ward some gifts for Christmas as described in the problem,
the Constant: $90 and $7
the Coefficient: $7
the Equation: $90 + $7x
How to find the constantInformation form the problem shows that
one big gift that will cost $90
some small gifts that cost $7 each
the constant in this case is the price of the gifts
$90 and $7
the coefficient is $7
the equation is
$90 + $7x
where x is the number of the small gifts
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Answer for ten points!
The simplified expression of 3y + 6x - 2x - 2y is y + 4x.
How to simplify an expression?An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations like addition and subtraction.
To simplify an expression means to write an equivalent expression which contains no similar terms or rewriting the same algebraic expression with no like terms.
Therefore, let's simplify the expression with no like terms as follows;
3y + 6x - 2x - 2y
combine like terms
3y - 2y + 6x - 2x
Therefore, the simplified expression is y + 4x
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Jill made a popcorn container that is shaped like a cone. The diameter of the opening is 8 inches and the height is 9 inches. What is the volume of the popcorn container? Leave answer alone, do not round.
Cuando A =
b.h
2
es resuelto por h el resultado es:
Area del triangulo = base por altura/2
A = b*h/2
A = 22,5cm²
Base = 5cm
a = b*h/2
22,5cm² = 5cm /h
22,5cm²/5cm = h
4,5cm = h
What is Area del?
Area is the quantity that expresses the extent of a region on the plane or on a curved surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.
La altura del triangulo es de 4,5cm
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True or false.
You must get common denominators before multiplying fractions.
Cora plans to buy some calligraphy pens priced at $5 each. Write an equation that shows how the total cost, y, depends on the number of calligraphy pens Cora buys, x. Do not include dollar signs in the equation.
Answer: y = 5x
Step-by-step explanation:
Brian irons \dfrac29
9
2
start fraction, 2, divided by, 9, end fraction of his shirt in 3\dfrac353
5
3
3, start fraction, 3, divided by, 5, end fraction minutes. Brian irons at a constant rate.
The shirt that Brian can iron in a minute is 5/81 shirts.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In this case, when we have a simple fraction, the numerator as well as the denominator are both integers. On the other hand, a fraction appears in the numerator or the denominator of a complex fraction.
Here, Brian irons 2/9 of his shirt in 3 3/5 minutes and it was stated that he irons at a constant speed
Therefore, to calculate the shirt he iron in a minute will go thus:
Here, set up a proportion (shirt ironed/minutes = shirt ironed/minutes). This will be illustrated as:
= 2/9 ÷ 3 3/5
= 2/9 ÷ 18/5
= 2/9 × 5/18
= 10 / 162
= 5 /81
The Fraction that illustrates the information is 5/81.
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Complete question
Brian irons 2/9 of his shirt in 3 3/5 minutes. If Brian irons at a constant speed how much of his shirt does he iron in a minute
Write an explicit rule for the general term of the sequence 5, 15, 45,...?
Answer:
a_n = 5 × 3^(n - 1)
Step-by-step explanation:
The first term is 5. Each subsequent term is the previous term multiplied by 3.
a_1 = 5 × 3^0
a_2 = 15 = 5 × 3^1
a_3 = 45 = 5 × 3²
Notice that the exponent of the 3 is 1 less then the term number.
a_n = 5 × 3^(n - 1)
Find x in the equation. 4 times x plus one half equals one half times x plus 4
After solving the equation, the value obtained for x will be equal to 1.
What is an equation?Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.
This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.
As per the information given in the question,
4 times x plus one-half equals one-half times x plus 4.
Let's write it in mathematical form,
4x + 1/2 = 1/2x + 4
Now, solve the equation for x,
4x - 1/2x = 4 - 1/2
(8x - x)/2 = (8 - 1)/2
7x/2 = 7/2
x = (7 × 2)/(2 × 7)
x = 14/14
x = 1
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Pleaseeee help I’m so confused
Answer:
D
Step-by-step explanation:
if you move the preimage on the image you can see that the two figures are equals