15. In 2005, there were 44,556 car accidents and in 28,187 of them the driver was
under the age of 25. Based on this, what is the probability that a driver involved in
an accident was under the age of 25? Write your answer as a decimal rounded to
4 decimal places.

Answer:

Step-by-step explanation:

Smith=24

Munoz=32

Park=20

Total votes=24+32+20=76

Ratio of votes for Munoz to Smith

32:24

=4:3

Ratio of votes for Park to Munoz

20:32

=5:8

Ratio of votes for Smith to total votes

24:76

=6:19

Ratio of votes for Smith to Munoz to Park

24:32:20

=6:8:5

The wrapping paper for this box cost (rounded to the nearest dollars and cents) should be $21.

Since

Wrapping paper costs $0.035 per square inch. And, there is a moving box that is an 10 inch cube is being wrapped.

So,

We know that

Surface area of the cube with side a is given by [tex]s = 6a^2[/tex]

[tex]= 6 \times 10^2 inch^2[/tex]

Now

So charge for 600 square inch should be like

[tex]= 600 \times $0.035[/tex]

= $21

hence, Wrapping paper for the box cost $ 21.00.

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Answer:

Hey there! The answer to your question is below.

Step-by-step explanation:

The answer would be 2 ⅖

I attached a picture, sorry for my bad handwriting

By xBrainly

The product of the reciprocal of 2/3, 1/8, 5 is 2 2/5

Given: 2/3, 1/8, 5

Reciprocal of 2/3 = 3/2

Reciprocal of 1/8 = 8/1

Reciprocal of 5 = 1/5

Product = 3/2 * 8/1 * 1/5

= (3 * 8 * 1) / (2 * 1 * 5)

= 24/10

= 2 4/10

= 2 2/5

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Answer:

-1

Step-by-step explanation:

k + (2k - 10) =

= 3 + (2 * 3 - 10)

= 3 + (6 - 10)

= 3 + (-4)

= -1

Answer:

The value of the equation is -1

Step-by-step explanation:

1st plug in 3 in the equation for k

3 + (2(3)-10)

now we can use PEMDAS

3 + (6 - 10)

we multiplied 2 and 3 to get 6

keep going

3 + -4

now that you have this, we can solve with intervals

btw A positive - negative becomes a negative symbol -

so your equation looks like this now

3 - 4

now we can subtract and our final answer should be

-1

High Hopes <3

Barry

B) 3/2

The radius of a circle is half its diameter.

Thus, the radius of the orange circle is 6, and the blue circle is 4

Thus the ratio is 4/6, which can be simplified to 3/2

Hope it helps <3 (Also, just answered this question for someone else!!)

Answer:

B. 3/2

Step-by-step explanation:

EDG

Hey there! :)

Answer:

A) (1, 6)

Step-by-step explanation:

Solve by setting both equations equal to each other. Begin by rearranging each equation to equal y:

3x + y = 9

y = -3x + 9

--------------

y - 2x = 4

y = 2x + 4

---------------

-3x + 9 = 2x + 4

Add 3x to both sides:

-3x + 3x + 9 = 2x + 3x + 4

9 = 5x + 4

Subtract 4 from both sides:

9 - 4 = 5x + 4 - 4

5 = 5x

Divide both sides by 5:

5/5 = 5x/5

x = 1. Substitute 1 into an equation to solve for y:

3(1) + y = 9

3 + y = 9

y = 9 - 3

y = 6.

Therefore, the coordinates of the solution are:

A) (1, 6)

Answer:

[tex]\boxed{OptionA}[/tex]

Step-by-step explanation:

3x+y = 9

y-2x = 4

Subtracting both equations

=> 3x+y-(y-2x) = 9-4

=> 3x+y-y+2x = 5

=> 3x+2x = 5

=> 5x = 5

Dividing both sides by 5

=> x = 1

Now, Putting x = 1 in the first equation

=> 3(1)+y = 9

=> 3+y = 9

=> y = 9-3

=> y = 6

Ordered pair = (x,y) = (1,6)

Answer:

25 units

Step-by-step explanation:

This problem can be solved by using concept of Basic proportionality theorem.

This theorem states that if there is line drawn parallel to any side of the triangle, and it intersect the other two sides, then

segment divided on those two sides are in equal proportion.

Let naem this triangle

the side containing 15 and 6 be AB, with A be point on segment having length 15 units

B be  point on segment having length 6 units

c be point on segment having length ? units

DE line parallel to BC

Thus, if apply Basic proportionality theorem. in this then ratio formed will be

15/6 = ?/10

5/2 = ?/10

?= 5/2* 10 = 25

The length of missing segment is 25 units.

Answer:

? = 54.

Step-by-step explanation:

According to the AA Theorem, the two triangles are similar.

[tex]\frac{35}{65} =\frac{63}{? + 63}[/tex]

[tex]\frac{7}{13} =\frac{63}{? + 63}[/tex]

7(? + 63) = 63 * 13

? + 63 = 9 * 13

? + 63 = 117

? = 54

Hope this helps!

The ratio of the corresponding sides will be constant. Then the missing segment will be 54.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

Let x be the missing segment.

x / 63 = 30 / 35

      x = 54

More about the triangle link is given below.

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Answer:

The rule for the translation can be written as T3, –5(x, y)

Triangle ABC has been translated 3 units to the right and 5 units down.

Step-by-step explanation: I think this is correct

True statements are

The rule for the translation can be written as T3, –5(x, y).

Triangle ABC has been translated 3 units to the right and 5 units down.

Given :

The graph is attached below

Given options are

The rule for the translation can be written as T–5, 3(x, y).

The rule for the translation can be written as T3, –5(x, y).

The rule for the translation can be written as

(x, y) → (x + 3, y – 3).

The rule for the translation can be written as

(x, y) → (x – 3, y – 3).

Triangle ABC has been translated 3 units to the right and 5 units down.

Explanation :

In the triangle ABC, A is at (-1,3)

In A'B'C', A' is at (2,-2)

From these points we can see that

[tex]-1+3=2\\3-5=-2[/tex]

So , 3 is added with x value and -5 is added with y value

Hence, we can say that Graph ABC is shifted 3 units to the right and 5 units down.

Rule for the translation can be written as [tex]T_{3,-5}(x,y)[/tex]

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Answer:

60 wpm

Step-by-step explanation:

I suck at explaining but I really hope I helped :) You have to divided 1500 by 25

Answer:

1 word every second

Step-by-step explanation:

25x60=1,500

1,500 words/1,500 seconds=

1 word/1 second

Answer:  36 three-point field goals

Step-by-step explanation:

To solve this problem, set up a system of equations. Let's call the number of  one-pointers [tex]w[/tex], the number of two-pointers [tex]x[/tex], and the number of three-pointers [tex]y[/tex]. We are trying to find [tex]y[/tex] here. We also know that [tex]w+x+y=85[/tex], because that is the total amount of baskets, and also that [tex]w+2x+3y=184[/tex], which is the total amount of points. We know that there were 22 free throws,  so that means we can take away 22 baskets from the first equation, and also 22 points from the second equation. Now the equations are [tex]x+y=63[/tex]  and[tex]2x+3y=162[/tex]. Solving the equations using our knowledge of systems of equations, you get that [tex]y=36[/tex]. So, 36 is the answer. Let me know if anything was unclear, and I hope this helped.

The number of two-point and three-point field goals they made is 27 and 36, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of two points basket be represented by x and the number of three points basket be represented by y.

Now, since the total number of basket is 85, out of which 22 were free throw. Thu, we can write the equation as,

22 + x + y = 85

Solving the equation for x,

x = 85 - 22 - y

x = 63 - y

Further given that the total point made is 184. Therefore, the total number of score can be written as,

22 + 2x + 3y = 184

22 + 2(63 - y) + 3y = 184

22 + 126 - 2y + 3y = 184

y = 36

Substitute the value of y in the first equation,

22 + x + y = 85

x = 85 - 22 - 36

x = 27

Hence, the number of two-point and three-point field goals they made is 27 and 36, respectively.

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Answer:

The slope of the line on the graph is 1

Step-by-step explanation:

When finding slope, you can follow the listed formula :

[tex]\frac{rise}{run}[/tex]

Now what does this mean? Rise is talking about the length for the y axis, while run is talking about the length for the x axis.

So what you want to do is find two points on the line that touch an actual number and doesn't stop in the middle of a square. In this case, I see (0,4) and (3,1).

So now you want to see how many squares make up the distance for the two points, so move down and you count 3 squares to equal to (0,1), now try to find a way to get to (3,1). Move three squares to the right.

Now, since you moved 3 squares down on the y axis, you replace that with rise on the fraction.

[tex]\frac{3}{run}[/tex]

Now since you moved 3 squares right on the x axis, you replace that with run on the fraction.

[tex]\frac{3}{3}[/tex]

Now divide :

[tex]1[/tex]

Answer:

10.5 in

Step-by-step explanation:

Given

[tex]tan(55) = \frac{15}{b}[/tex]

Required

Find length AC

The question is not detailed enough; so, I'll assume that b represents line AC.

Having said that;

We start by multiplying both sides by b

[tex]tan(55) = \frac{15}{b}[/tex]

[tex]b * tan(55) = \frac{15}{b} * b[/tex]

[tex]b * tan(55) =15[/tex]

Divide both sides by tan(55)

[tex]\frac{b * tan(55)}{tan(55)} = \frac{15}{tan(55)}[/tex]

[tex]b = \frac{15}{tan(55)}[/tex]

Find tan(55)

[tex]b = \frac{15}{1.42814800674}[/tex]

[tex]b = 10.5031130731[/tex]

[tex]b = 10.5[/tex]  (Approximated)

Length AC is 10.5

Answer:

C

Step-by-step explanation:

ed2020

Step-by-step explanation:

[tex]f(x) = 4 {x}^{2} + 5 + {2}^{x} [/tex]

To find f(-4) replace every x in f(x) by - 4

That's

[tex]f( - 4) = 4( { - 4})^{2} + 5 + {2}^{ - 4} \\ \\ = 4(16) + 5 + \frac{1}{16} \\ \\ = 64 + 5 + \frac{1}{16} \\ \\ = 69 + \frac{1}{16} \\ \\ = \frac{1105}{16} \\ \\ = 69 \ \frac{1}{16} [/tex]

Hope this helps you

Answer:

x=5,6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Draw a dashed horizontal line at y = 7, and under this line, from the x-axis to the line y = 7, draw the v-shaped graph of the absolute value function.

Next, draw a solid horizontal line at y = 5.  

Shade the area between these two lines, touching the line y = 5 but not touching the line y = 7.  The result will be a trapezoid-shaped area.  All points in this area are solutions to this system of inequalities.

Answer:

C. Quadrant III

Step-by-step explanation:

Note:

Quadrant I:   x(+)

                     y(+)

--------------------------------

Quadrant II:  x(-)

                     y(+)

--------------------------------

Quadrant III: x(-)

                     y(-)

--------------------------------

Quadrant IV: x(+)

                     y(-)

Answer:

B. The graph is stretched vertically by a factor of 2

Step-by-step explanation:

A non-rigid transformation changes the shape of the curve.

In y + 5 = -2(x - 1)²

Answer:

A = 24

Step-by-step explanation:

We can see that the face of the given rectangular prism shows the width 4 and the height of 6. If we cut the figure at any point along the length 20, such that the cross section is parallel to the face, the cross section, which occurs at x length, will always have the same dimensions, that are 4 and 6.

So the area of the cross section which is parallel to the face of the given rectangular prism is given by:

A = 6 × 4

A = 24

Answer:

6 times 4 is 24

20 times 24 is 480

the answer would be (two answers in total)

480 square units

24 square units

Step-by-step explanation:

Answer:

  90°

Step-by-step explanation:

The sum of the arcs around the circle is ...

  2x +4x +4x +2x = 360°

  x = 360°/12 = 30°

The numbered angle is the average of the measures of the intercepted arcs, so is ...

  (4x +2x)/2 = 3x = 3(30°) = 90°

The numbered angle is 90°.

Answer:

45 square units

Step-by-step explanation:

In the above question, we are given the following values

The ratio of the lengths of the corresponding sides of two regular octagons is 8 to 3.

This means the length of the larger octagon = 8

The length of the smaller octagon = 3

Using scale factor denoted as k and because we are dealing with area of the octagon

k = 3²/8²

The area of the larger octagon is 320 ft².

The area of the smaller octagon s represented as y and is calculated as

k = y/Area of larger octagon

3²/8² = y/320

Cross multiply

8² × y = 3² × 320

y = 3² × 320/8²

y = 45 square units

Area of smaller octagon = 45 square units.

Answer:

y = -1/3x +5

Step-by-step explanation:

The slope intercept form is y = mx+b where m is the slope and b is the y intercept

The y intercept is 5  ( where it crosses the y axis)

The slope is

m = (y2-y1)/(x2 -x1)

We need two points on the line ( 0,5) and (3,4)

m = (4-5)/(3-0)

   = -1/3

y = -1/3x +5

Start by finding the b or the y-intercept.

This is the point where the line crosses the y-axis.

Our y-intercept is (0,5) or just 6.

From here, we look for clear cut points on the line.

Notice that if we go down 1 unit and to the right 3 units,

our point will end up exactly in the middle of the cross.

So our slope is -1/3.

So the equation is -1/3x + 5.

Answer:

The answer is option A.

[tex]7( \frac{x}{8} ) + \frac{3}{4} = - 6[/tex]

Hope this helps you

Answer:

1

Step-by-step explanation:

the two last answers are obviously wrong (if you want I can explain it to you in the comments)

the second one is mathematically wrong

So I am pretty sure the correct answer is the first one

━━━━━━━☆☆━━━━━━━

▹ Answer

-9 1/2 → -9.5

▹ Step-by-Step Explanation

-2 1/6 - 7 1/3

-(2 1/6 + 7 1/3)

-((2 + 7) + (1/6 + 1/3))

-(9 + (1/6 + 1/3))

FINAL ANSWER = -9 1/2

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

Step-by-step explanation:

2y - 12 is correct.

2(y - 12) would apply if the problem statement were:  "twice the difference of y and 12".  

The algebraic expression that represents the phrase “two times the quantity of a number minus 12” is 2y - 12.

Given phrase,

Two times the quantity of a number minus 12.

We need to find an algebraic expression that represents the above phrase.

The given phrase is "Two times the quantity of a number minus 12".

We will separate it into two parts :

- Two times the quantity of a number

- Minus 12

Let the quantity of a number be y.

So we have,

"Two times the quantity of a number" can be written as:

= 2 x y

Adding the other parts "Minus 12" we get:

= 2y - 12

Thus, the algebraic expression that represents the phrase “two times the quantity of a number minus 12” is 2y - 12.

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Answer:

-2

Step-by-step explanation:

Answer:

E - 40°

Step-by-step explanation:

Angle O = 2 × y

{Angle at center is equal to twice the angle at circumference formed by the same arc}

O = 2 × 70°

O = 140°

x + 90° + 90° + O = 360°

{Sum of angles in a quadrilateral is equal to 360°}

x + 90° + 90° + 140° = 360°

x + 320° = 360°

x = 40°

Answer:

Landing on  a 1 or 2.

25% means 0.25, or 2/8 chance of winning. The spinner has 2 out of 8 as 1 or 2.  

Answer:28oz-$4.89 is better deal. It is 17.5 cents per oz.

Step-by-step explanation:

Answer: The best option would be the 28 oz option

Step-by-step explanation:

First you would divide the dollar amount by the amount of ounces to get how much it is per ounce. For the 18 oz jar it is about 0.182 per ounce. For the 22 oz jar it is about .181 per ounce. For the 28 it is about 0.175 per ounce. Therefore the 28 oz is the best option.

Answer:

Right Triangle

Step-by-step explanation:

BC is tangent to circle O, and since radius OB is perpendicular to this tangent, then the triangle must have a right angles in it, making it a right triangle.

The triangle could also be scalene, but that is not for sure, meaning it is primarily a right triangle.

Answer:

for first

Step-by-step explanation:

here

slope (m)=3

point=(1,2)=(x1,x2)

equation of straight line

(y-y1)=m(x-x1)

or 3x-y+1=0

so y= 3x+1

now do all of the question like this