a traffic study has shown that the probability that 55 cars will pass over a small bridge in a 4-4-minute period is 0.16.0.16. what are the odds against exactly 55 cars passing over the bridge in that time?

Answer:

(-4, 4)

Step-by-step explanation:

x can be either negative 4 or positive 4.  A negative number squared is a negative number times a negative number, which will be a positive number.

∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.

Given that, AD bisects ∠BAC and ∠1≅∠3.

An angle bisector is defined as a ray, segment, or line that divides a given angle into two angles of equal measure. The word bisector or bisection means dividing one thing into two equal parts.

Since AD bisects ∠BAC, ∠BAD=∠DAC.

That is ∠1≅∠2 (AD bisects ∠BAC into two equal angles)

Since ∠1≅∠2 and ∠1≅∠3 (given)

We get, ∠2≅∠3

∠2≅∠3 because ∠1≅∠2 and ∠1≅∠3. Hence proved.

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Answer:

502.7 cubic units

Step-by-step explanation:

When a rectangle is rotated about the side, a cylinder is formed.

   Height of the cylinder will be the length of the rectangle of the side about rotated.

Height = h = VY  = 10 units

  Radius = r = VW = 4 units

[tex]\sf \boxed{\bf Volume \ of \ cylinder = \pi r^2h}[/tex]

                                    = 3.142 * 4 * 4 * 10

                                    = 502.7 cubic units

If Lisa's father randomly pick a tie among his 16 ties, the probability it will be a blue one is 3/8

Probability is a measure how likely an event will happen. The probability of an event A is defined as the number of event A divided by the number of all possible outcomes. Mathematically,

P(A) = n(A)/n(S)

Where:

n(A) = number of event A

n(S) = number of all possible outcomes or sample space.

In the given problem:

Number of all ties = 16

Number of blue ties = 6

Hence, when a tie is picked up randomly, the probability it will be a blue one is:

P(blue) = (number of blue ties) / (number of all ties)

P(blue) = 6/16 = 3/8

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Answer:

hmm I'm pretty sure a is 3.2

Answer:

the answer is 6.43 × 10-5

Driver C and Driver B are variable

Answer:

we assume the two boys lifted the same amount of weight of boxes. Let s be the weight of the boxes Steven lifted. Hence,

Step-by-step explanation:

13 ( s+12) = 15 s

where s + 12 means that the box lifted by Nathan weighed 12 more than that of Steven.

we solve,

s = 78 pounds

such that Nathan's is 90 pounds.

The distance between the coordinates G(8, -2) and H(-1, 4)is; 10.82

We are given the two coordinate points as;

G(8, -2) and H(-1, 4)

The formula to find the distance between these two given coordinates is;

d = √[(x2 - x1)² + (y2 - y1)²]

Plugging in the relevant values gives;

d = √[(-1 - 8)² + (4 - (-2))²]

d = √(81 + 36)

d = √117

d = 10.82

Thus, the distance between the coordinates G(8, -2) and H(-1, 4)is; 10.82

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The true statement is sometimes true

The equation is  given as

5x + 3 - 2x = 7x + 3

Evaluate the like terms on each side of the equation

So, we have

3x + 3 = 7x + 3

Evaluate the like terms on both sides

4x = 0

Divide both sides by 4

x = 0

This means that the equation is only true when x = 0

Hence, the true statement is sometimes true

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The length of each side of the box is 10 centimeter.

Volume is the amount of space occupied by a three-dimensional figure as measured in cubic units.

Given,

The volume of the cubic box = 1 liter

We know 1 liter= 1000 cubic centimeter

Volume of the cubic box= [tex]x^3}[/tex]

Then,

[tex]x^{3}=1000\\ x=\sqrt[3]{1000}[/tex]

x=10 centimeter

Hence, the length of each side of the box is 10 centimeter.

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Answer: 76 problems wrong

Step-by-step explanation:

62%=

62/100=0.62

0.62*200=124 problems right

200-124=76 problems wrong

Answer:

number of years worked, salary, salary, number of years worked, M(x)=4,000x+60,000, M(9)=96,000, switch your very last answer

Step-by-step explanation:

The dependant veriable depends on whatever the independent variable is.

Ryan was offered a job after college earning a salary of $60,000. He will get a raise of $4,000 after each year working for the company.

In this problem, the dependant variable is the salary, because his salary depends on the number of years he's worked.

If you think about it as if it's really happening, it'll make more sense--the longer you work at a job, the more raises you'll get over time.

To put this into an equation, we have to use slope-intercept form: y=mx+b

y is the same as M(x), m is your dependent variable, x is your independent variable, and b is the amount you start with.

Then we just plug the numbers in:

the dependant variable is 4000, independent is the years (which we don't need yet, so it stays as x) and the amount he will start with is 60000

M(x)=4,000x+60000

for M(9), you just plug 9 into x and solve

M(9)=4,000(9)+60000=96,000

Finally, 9 years after being hired, his salary will be 96000 (dollars? I don't know what answer goes here but what you put doesn't really fit)

I really hope I didn't explain that too badly or completely wrong because it's been a bit since I learned this so sorry, but fun fact, I remember doing this exact delta math, and I also remember hating it so good luck

:D

Answer:

(x)=6

Step-by-step explanation:

Answer: Domain: All real numbers      

Range: y<-2, y>=0

Step-by-step explanation:

Domain: All real numbers       ==> x can be less than zero and greater than or equal to zero.

Range: y<-2, y>=0

-x-2, x>0

-x-2+2, x>2

-x, x>2

x, x<-2

y, y<-2

-x, x<=0

x, x>=0

y, y>=0

Answer:

Step-by-step explanation:

Domain 5

range 2

Answer:

1100. because the 4% and 44 are the same thing 4% goes into 100% 25 times then 44 times 25 is 1100

In a survey of 232 professional athletes, 23 athletes do not own any of the three items. 49 owns a convertible and a tv, but not a store. 163 athletes owns a convertible or a tv. 109 athletes owns exactly one type of item in the survey. 209 athletes owns at least one type of item in the survey. 55 owns a tv or a store, but not a convertible.

Using Venn diagram, a diagram used to present the relationship between sets in a logical form, we analyze the given information.

athletes who do not own any of the three items = 232 - (121 + 100 + 93) +(54 + 38 + 18) - 5 = 23

athletes who owns a convertible and a tv, but not a store = 54 - 5 = 49

athletes who owns a convertible or a tv = (121 + 93) - (18 + 38 - 5) = 163

athletes who owns exactly one type of item in the survey = (121 - 54 - 18 + 5) + (100 - 38 - 54 + 5) + (93 - 18 - 38 + 5) = 109

athletes who owns at least one type of item in the survey = 121 + 100 + 93 - 54 - 38 - 18 + 5 = 209

athletes who owns a tv or a store, but not a convertible = (100 - 54 -38 + 5) + (93 - 18 - 38 + 5) = 55

See attached photo for reference.

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If a group of 5 adults and 8 children, went for a ride of the Ferris wheel, and if the ticket cost $1 per person, irrespective of age, then total cost of tickets for the whole group will be $13.

As per the question statement, a group of 5 adults and 8 children, went for a ride of the Ferris wheel and the ticket costed $1 per person, irrespective of age.

We are required to calculate the total cost of tickets for the whole group.

Since the ticket cost was same for persons of all ages, therefore, total members of the group who wanted to ride the Ferris wheel was

(8 + 5) = 13.

As per the Unitary method, we have to calculate the value of 13 tickets from the data on the value of a single ticket provided to us in the question statement, i.e., we simply need to multiply the number of tickets with the cost of a single ticket to obtain our desired answer.

Therefore, cost of 13 tickets with each ticket costing $1 is [tex](13*1)=13[/tex] Dollars.

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Answer:

D. A monthly truck payment

The unit rate is $9.50 per hour

As the rate for 6 hrs. is $57,

the rate is 57/6=(3×19) / (3×2)

=19/2

=9.50

The unit rate is $9.50 per hour

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Answer:

You'll spot the time signature in the beginning of the music – it's two numbers stacked vertically. The top number tells you how many beats there are in one measure.

Step-by-step explanation:

hope it helps

Final answer:

The student's mean score in the class is calculated as 80.6

The average of a group of variables is referred to as the mean in mathematics and statistics. There are several methods for calculating the mean, including simple arithmetic means (adding the numbers together and dividing the result by the number of observations), geometric means, and harmonic means. The mean represents the average or middle value of all the data in a dataset as a single number. One of many measures of central tendency, it is also referred to as the arithmetic average.

The mean is significant because it reveals the location of the dataset's median value. Because it contains data from each observation in a dataset, the mean is also significant.

Explanation:

Let [tex]x1 = 62, x2 = 83, x3=91, x4=88, x5=76[/tex]

Test scores count for 20% of the grade, final grades for 25%, and homework grades for 15% of the grade. Therefore

[tex]w1 = w2= w3 = 0.20\\w4 = 0.25\\w5 = 0.15[/tex]

[tex]= > \frac{12.4 + 16.6 + 18.2 + 22+11.4}{1}[/tex]

Which becomes,

[tex]= 80.6[/tex]

According to weights proportionate to values in the final grade, the weighted mean yields the mean value. The observed values are multiplied by the weights, which are then divided by the total number of weights.

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The number of years that the population has doubled will be 33 years.

Consider the function:

y = a (1 + r) ˣ

Where x is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

A little town had a population of 2.53 thousand upon its founding. The population increases by 2.15% annually. Then the equation will be

y = 2.53(1.0215)ˣ

The number of years that the population has doubled will be

2 × 2.53 = 2.53(1.0215)ˣ

2 = (1.0215)ˣ

x ln1.0215 = ln2

x = 32.58 ≈ 33 years

The number of years that the population has doubled will be 33 years.

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Answer: The answer is triangle ABC ~ triangle EDC because m<3=m<4 and m<1=m<5.

Step-by-step explanation: The reason this would be is that both triangles are equilateral, so all the sides are the same.

Now that we know that the triangles are similar to each other, then we can eleminate the last two answers. The best possible answer would be triangle ABC ~ triangle EDC because m<3=m<4 and m<1=m<5.

The rate of change is 1/2.

the end behavior of the function is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

Here we have a simple linear function:

y = (1/2)*x + 3

Remember that for a general linear function we have:

y = a*x + b

Where a is the rate of change and b is the y-intercept.

Then comparing our function with the general one, we can see that the rate of change is 1/2.

Now, because the rate of change is positive, we can see that when x tends to infinity the function also tends to infinity.

And when x tends to negative infinity also does f(x).

Then the end behavior of the function is:

as x → ∞, f(x) → ∞

as x → -∞, f(x) → -∞

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Answer:

V = [tex]\frac{Bh}{3}[/tex]

Step-by-step explanation:

B = 3 × [tex]\frac{V}{h}[/tex] ( multiply both sides by h to clear the fraction )

Bh = 3V ( divide both sides by 3 )

[tex]\frac{Bh}{3}[/tex] = V

Answer:

1: is in the million

6: is in the hundred thousand

7: is in the ten thousand

5: is in the thousand

8: is in the hundred

9: is in the ten

2:is in the one

Answer:

x = 1, y = 3.

Step-by-step explanation:

1/3
2/6
and
3 to 9
are all the same.