Suppose the angle of depression from a race car driver's eyes to the bottom of the 3 foot high back end of the car in front of him is 18 degrees. How far apart, to the nearest foot, are their bumpers? Assume the horizontal distance from the race car driver's eyes to the front of his car is 5 feet

Answer:

60% of them are women 40% are men

Answer:

50

Step-by-step explanation:

16+34=50

50 seventh-grade students responded to the survey.

In mathematics, data refers to a collection of facts, numbers, observations, or measurements that have been gathered or recorded. Data is used to represent and analyze information in various mathematical contexts, such as statistics, probability, and data analysis.

First, Eighth Grade

= 10 + 15

= 25

Second, Seventh Grade

= 16 +34

= 50

Thus, 50 seventh-grade students responded to the survey.

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Answer:

0.625

Step-by-step explanation:

5÷8=0.625

This is equal to the number of pizzas Celia ate.

plz mark me as brainliest.

Answer:

0.625

Step-by-step explanation:

Fraction of pizza she ate = 5/8

5/8 x 125 =  625/100= 0.625

I hope im right!

Answer:

n=15/2

Step-by-step explanation:

25+n(20)=175

n(20)=175-25

20n=150

n=150/20

n=15/2 ans...

Answer:4

Step-by-step explanation:

but they said it would have toend

5/x = x/ 9

Cross-multiply

x² =45

Take the square root of both-side

x = 3√5 or 6.7082039325

The statement If a simple random sample is chosen with replacement, each individual has the same chance of selection on every draw is True.

If a simple random sample is chosen with replacement, it means that after each selection, the chosen individual is placed back into the population before the next selection is made. In this case, each individual in the population has the same chance of being selected for every draw.

The process of replacing the selected individual ensures that the selection probabilities remain constant throughout the sampling process. As a result, each individual has an equal probability of being chosen on each draw, making the statement true.

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The police officer should expect to pull over at least 4 people until she finds a driver not wearing safety belt.

Here, we are given that only 68% of drivers wear their safety belt.

This means that out of 100 drivers, only 68 will wear safety belt.

The percentage of drivers who do not wear safety belts = 100 - 68

= 32%

This means that out of 100 drivers, only 32 will not wear a safety belt.

Now, we need to find the number of people that must be pulled over until a driver not wearing safety belt is pulled.

The police officer will catch 32 drivers without safety belt when she pulls over 100 cars.

Therefore, the police officer will catch 1 driver not wearing safety belt when she pulls over 100/32 = 3.125 cars.

Since number of cars cannot be a decimal number, we round it off to 4

Thus, the police officer should expect to pull over at least 4 people until she finds a driver not wearing safety belt.

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Hey there! I'm happy to help!

Let's write this equation out.

2/3+1/3x=2x

We want to get all of the variables on the left side and all the numbers on the right side so we can see what number x is equal to. First, Let's subtract 2/x from both sides.

2/3+1/3x-2x=0

We subtract 2/3 from both sides.

1/3x-2x=-2/3

We combine our x values.

-5/3x=-2/3

We divide both sides by -5/3.

x=-5

Have a wonderful day and keep on learning! :D

The push operation is called 9 times to evaluate the given postfix expression. The correct option is C) 9.

Postfix expression refers to an expression in which the operator follows the operands. It is also known as the Reverse Polish Notation (RPN). A stack data structure is used to evaluate postfix expressions.

The given postfix expression is 6 4 + 3 10 * + 2 2 - +.

To evaluate the expression, the stack data structure is used:

Step 1: Push 6 into the stack.

Step 2: Push 4 into the stack.

Step 3: Pop 4 and 6 from the stack and add them. Then push the sum (10) into the stack.

Step 4: Push 3 into the stack.

Step 5: Push 10 into the stack.

Step 6: Pop 10 and 3 from the stack and multiply them. Then push the product (30) into the stack.

Step 7: Pop 30 and 10 from the stack and add them. Then push the sum (40) into the stack.

Step 8: Push 2 into the stack.

Step 9: Push 2 into the stack.

Step 10: Pop 2 and 2 from the stack and subtract them. Then push the difference (0) into the stack.

Step 11: Pop 0 and 40 from the stack and add them. Then push the sum (40) into the stack.

Therefore, the push operation is called 9 times to evaluate the given postfix expression. The correct option is C) 9.

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Answer:

y=3x

Step-by-step explanation:

parallel means same x value when talking about graphs

Answer:

y=3x

Step-by-step explanation:

because parallel line mean they got same slope and in y=3x-1 equation the slope is 3x. so, the same slope is 3x.

  don´t forget to brainllest!:)

Therefore ,In other words  the solution of the given problem of fraction is even though 21 can be divided by 3, it cannot be divided by 6. (for an integer anyway)

A fractional or ratio element is a portion of the whole. The numerator a denotes the number of parts that are included, and the denominator b denotes the number of pieces of equal size into which the whole has been divided. The least common multiple (LCD) of two fraction denominators is called the LCM of those denominators.

Here,

21/3 = 7    21/6 = 3.5

18/3 = 6   18/6 = 3

24/3 = 8   24/6 = 4

12/3 = 4     12/6 = 2

Each can be split to get an integer, with the exception of:

21/6 = 3.5

Therefore ,In other words, even though 21 can be divided by 3, it cannot be divided by 6. (for an integer anyway).

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Answer:

Step-by-step explanation:

City Population Density (Persons/Square Mile) 2016 Population Land A...

New York, New York 28,211 8,537,673 303

Los Angeles, California 8,484 3,976,322 469

Chicago, Illinois 11,883 2,704,958 228

View 751 more rows

The probability of selecting two socks of same color is 0.96.

According to the given question.

Total number of green socks = 4

Total number of yellow socks = 6

So, the total number of socks in a drawer = 4 + 6 = 10

Since as we know that, the probability of an event is computed as: P(E) = Number of favourable outcome /Total number of outcomes. Hence, the probability is the possibility of the occurrence of a random event.

So, the probability of selecting a green scoks = 4/10 = 2/5

And the probability of selecting a yellow socks = 6/10 = 3/5

Therefore, the probability of selecting two socks of same color

= probability of selecting both the green socks or probability of selecting both the yellow socks

= [( 2/5) + (2/5)] × [(3/5)+(3/5)]

= (4/5) × (6/5)

= 24/25

= 0.96

Hence, the probability of selecting two socks of same color is 0.96.

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Answer:

the slope, m, is 4 and that the y-intercept, b, is -8

Step-by-step explanation:

Compare the given equation to the slope-intercept form y = mx + b.  Here we see that the slope, m, is 4 and that the y-intercept, b, is -8.

The postfix expression of "7+5-3*2(6*7)/4" is "7 5 + 3 2 * 6 7 * 2 * - 4 /". Evaluating the postfix expression gives the result of the expression. The prefix expression for the given infix expression is "/ - + 7 5 * 3 * 2 ( * 6 7 ) 4".

To convert the infix expression "7+5-3*2(6*7)/4" into postfix expression, we follow the rules of operator precedence and associativity. The postfix expression is obtained by placing operators after their operands.

The postfix expression for the given infix expression is:

"7 5 + 3 2 * 6 7 * 2 * - 4 /"

To evaluate the postfix expression, we use a stack data structure. We scan the postfix expression from left to right and perform the corresponding operations.

Starting with an empty stack, we encounter the operands "7" and "5". We push them onto the stack. Then we encounter the operator "+", so we pop the last two operands from the stack (5 and 7), perform the addition operation (7 + 5 = 12), and push the result back onto the stack.

We continue this process for the remaining operators and operands in the postfix expression. Finally, after evaluating the entire expression, the result left on the stack is the final answer.

To convert the infix expression into prefix expression, we follow similar rules but scan the expression from right to left. The prefix expression is obtained by placing operators before their operands.

The prefix expression for the given infix expression is:

"/ - + 7 5 * 3 * 2 ( * 6 7 ) 4"

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The black population is approximately 13% of the U.S. population because of the census done by the Census Bureau . Option b.

According to the U.S. Census Bureau, the black or African American population in the United States was estimated to be approximately 13.4% of the total population in 2020. This means that out of every 100 people in the U.S., about 13 or 14 are black or African American.

The black population has a long and complex history in the U.S., including periods of slavery, segregation, and discrimination.

Despite ongoing challenges and inequalities, the black community has made significant contributions to American culture, politics, and society. Understanding the demographics of the U.S. population, including the proportion of black individuals, is important for a range of policy and social issues.

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Answer:

(x + 10)(2x + 5) - (x + 1)(x + 1)

= 2x^2 + 25x + 50 - (x^2 + 2x + 1)

= x^2 + 23x + 49

The correct option is the fourth one, the slope and y-intercept are different.

Here we have the linear equation:

3x - 5y = 4

We know that it is dilated by a scale factor of 5/3, so let's find the dilation.

We can rewrite the linear equation as:

-5y = 4 - 3x

y =  (3/5)x - 4/5

Now let's apply the dilation:

y = (5/3)*[ (3/5)x - 4/5]

y = x - 4/3

Then we can see that the slope and the y-intercept are different, the correct option is 4.

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Answer is the coordinates of endpoint F(6, 4).

In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

let coordinate of F is (x,y).

4= (x + 2)/2

8= x +2

x = 6

6= (y +8)/2

12 = y + 8

y = 4

Answer is the coordinates of endpoint F(6, 4).

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The answers for x, HJ, and JK cannot be determined without knowing the value of KH.To find the value of x, HJ, and JK, we can use the given information.

From the given information, we have:

HJ = x + 10

JK = 9x

KH = ?

To find KH, we can use the fact that the sum of the lengths of the sides of a triangle is equal to zero. So, we have:

HJ + JK + KH = 0

Substituting the given values, we get:

(x + 10) + 9x + KH = 0

Simplifying the equation, we have:

10x + 10 + KH = 0

10x = -10 - KH

x = (-10 - KH)/10

Since the value of KH is not given, we cannot determine the              specific values of x, HJ, and JK without additional information.

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The correct answer is A. No, because there are more than two possible outcomes, and the trials are not independent.

The binomial distribution is a probability distribution that describes the number of successes in a fixed number of independent trials, where each trial has the same probability of success.

Given by the question.

To have a binomial distribution, four requirements must be satisfied:

There are a fixed number of trials.

Each trial has only two possible outcomes, success or failure

The trials are independent.

The probability of success remains the same for all trials.

In the given procedure, there are more than two possible outcomes, as a teenager could have committed a crime or not, but also committed different types of crimes. Additionally, the trials are not independent, as the behavior of one teenager may influence the behavior of another teenager. Therefore, the given procedure does not result in a binomial distribution.

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Answer:

A) No solution

Step-by-step explanation:

Given the systems of linear equations, y = 2x + 1 and y = 2x - 1:

Both equations in the system have the same slope, m = 2, thus forming parallel lines.  Since their lines are parallel from each other, then it means that their lines will never intersect.

Therefore, the given systems of linear equation is an inconsistent system that has no solution.

Answer:

y/4 + x/12

Step-by-step explanation:

The number of working toys = x

The number of broken toys = y

Bert breaks 1/3 of the working toys, that is:

1/3 * x = x/3

The number of broken toys is now:

y + x/3

Ernie then throws away 1/4 of the broken toys. In terms of x and y, the number of broken toys that Ernie threw away is:

1/4 *(y + x/3)

= y/4 + x/12

At the bicycle manufacturer, the average cost per bicycle is $77.

To find the average cost per bicycle, we need to find the total cost of making all three bicycles and divide that by the number of bicycles.

The total cost is of the bicycles is given by -

$72 (cost of first bicycle) + $83 (cost of second bicycle) + $77 (cost of third bicycle) = $232

Now to find the average cost per bicycle, we will divide the total cost by the number of bicycles.

Hence, $232 ÷ 3 = $77

Therefore, the average cost per bicycle is $77.

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Answer:

y = -2x + 9

Step-by-step explanation:

The standard form of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

The line intersects the y-axis at 9, thus b = 9.
The slope formula is rise/run. The line falls 2 and runs 1, thus m = -2/1, or -2.

y = -2x + 9

Answer:

B

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 4

The only 2 equations with a slope of 4 are

B y = 4x - 5

C y = 4x + 2

To find the one which contains the point (2, 3)

Substitute x = 2 into the equation and if y = 3 then the line contains the point

B y = 4(2) - 5 = 8 - 5 = 3 ← contains (2, 3 )

C y = 4(2) + 2 = 8 + 2 = 10 ≠ 3 ← does not contain the point

Answer:

The answer is the 2nd one.

Step-by-step explanation:

It is the only one that makes sense.

Hope this helps you.

Answer: 2.5 cm

Step-by-step explanation:

5/2=2.5

The radius is half the diameter to just divide the diameter by 2 to find the radius.