Among the licensed drivers in the same age group, what is the probability that
a 57-year-old was involved in an accident? Use the table below.
Drivers in
Age group accidents
(thousands)
19 and under 2150
20-24
2620
25-34 3740
35-44 3220
45-54 3030
55-64
1990
65-74
790
75 and over 560
Drivers in
fatal
accidents
5,400
8.700
10.700
9600
9400
6500
3800
4300
Licensed
Drivers
(thousands)
10,034
17.173
35,712
40,322
40,937
30,355
17,246
13,321

Answer:

28

Step-by-step explanation:

What value of p makes both sides equal the same? P = 3

37 - 9 = 28

21 + 7 = 28

So line KE and BE both equal 28

Hope this helps, and have a good day :)!

The length line KE and BE both equal 28.

Option (B) is correct.

Find the length of KE.

Figure which is formed by two rays or lines that shares a common endpoint.

Given that:

Let the value of

P = 3

Put the value of P

37 - 9 = 28

21 + 7 = 28

So, line KE and BE both equal 28

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Answer:

21 members

Step-by-step explanation:

Jake's club

Total number of members = 35

percentage of members required to be present for any vote = 60%

= 60/100 × 35

= 0.6 × 35

= 21

Answer:

D

Step-by-step explanation:

Beacuse ‍♀️

Answer:

This is a rectangle, so if AB is equal to 3 centimeters, then DC is equal to 3 centimeters.

Since Angle X is equal to 45 degrees, then angle CDE, is also equal to 45 degrees, and we have an isosceles triangle, since angle  CDE and DEC are equal to each other.

This means, that CE = DC.

And because E is the midpoint of CB, CE = EB.

So basically, we have:

DC = CE = BE

DC = 3

3 = CE = BE

And we see that CE and BE are both equal to 3, which makes CB equal to 6, which makes solving the area easy. (3 x 6), which is 18.

B is correct!

Answer:

The equivalent expression to this equation is -30x⁸4y⁶

Step-by-step explanation:

For this expression, we have to multiply the terms. We can do this by following the order of operations.

(-3x³y²)(5x⁵y⁴)2

First, we have to multiply -3x³y² and 5x⁵y⁴ together.

(-15x⁸2y⁶)2

Now, we  multiply these terms together.

-30x⁸4y⁶

So, the expression that is equivalent to this equation is -30x⁸4y⁶

Answer:

Step-by-step explanation:

Answer:

Option A is the correct option.

Step-by-step explanation:

Surface area of the rectangle base = 9 × 5 = 45 in²

Surface area of lateral square = ( 5 )² = 25 in²

Surface area of lateral rectangle = 6.4 × 5 = 32 in²

Surface area of top square = ( 5 )² = 25 in²

Surface area of two parallel trapezoids:

[tex] (\frac{1}{2} (9 + 5) \times 5) \times 2[/tex]

= 7 × 5 × 2

= 70 in²

Total surface area:

= 45 + 25 + 32 + 25 + 70

= 197 in²

Hope I helped!

Best regards!

Answer:

B) The vertex will shift down.

Step-by-step explanation:

In the equation of a parabola, (y - k)² = 4p(x - h), (h, k) is the vertex.

The original parabola's vertex was (3, -2).

In the new parabola, the y-coordinate changed to -10, making the new vertex (3, -10).

So, the parabola's vertex shifted down 8 units from -2 to -10.

Answer:

8 1/8 units³

Step-by-step explanation:

V = lwh

Since the area is already given to you, just multiply that by the other number.

[tex]V=(16\frac{1}{4})(\frac{1}{2})\\\\V=\frac{65}{8}=8\frac{1}{8}[/tex]

Answer:

15, 5, 45, 10

Step-by-step explanation:

2 minutes for 10 photos

1 minute for 5 photos

now:

2×5=10

3×5=15

25÷5=5

9×5=45

50÷5=10

Answer:

The answer is option 1.

Step-by-step explanation:

You have to apply Tangent Rule, tanθ = opposite/adjacent. Then, you have to substitute the following values into the formula :

[tex]tan(θ) = \frac{oppo.}{adj.} [/tex]

[tex]let \: θ = 25.7 \: , \: oppo. = h \: , \: adj. = 532[/tex]

[tex] \tan(25.7) = \frac{h}{532} [/tex]

[tex]532 \tan(25.7) = h[/tex]

[tex]h = 256 \: feet \: (3s.f)[/tex]

The value of height of tree is,

⇒ h = 256 feet

We have to given that,

A Giant Redwood tree cast a shadow that is 532 feet long, with an angle of elevation of 25.7° .

Hence, By given figure we get;

By using trigonometry formula, we get;

⇒ tan 25.7° = Opposite / Adjacent

⇒ tan 25.7° = h / 532

⇒ 0.4812 = h / 532

⇒ h = 0.4812 × 532

⇒ h = 256 feet

Therefore, The value of height of tree is,

⇒ h = 256 feet

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Answer:

a = 10 and b = 5

Step-by-step explanation:

We write out f(x)= ab^x for x = 0 and x = 3 to create two equations in a and b that must be solved simultaneously:

(0, 10):  10 = a*b^0

This tells us that 10 = a*1, or a = 10.

(3, 1250):  1250 = a*b^3 => 10*b^3, or

1250 = 10*b^3, or

125 = b^3.  Taking the cube root of both sides, we obtain b = 5.

a = 10 and b = 5

Answer:

Hello,

a)18

Step-by-step explanation:

[tex]p=27, int[p/2]=13\\\\\begin{array}{c|c|c|c|c}a&p-a&b&c\\---&---&---&---\\1&26&13&13\\2&25&12&13\\3&24&12&12\\4&23&10&13\\&&11&12\\5&22&9&13\\&&10&12\\&&11&11\\6&21&8&13\\&&9&12\\&&10&11\\7&20&7&13\\&&8&12\\&&9&11\\&&10&10\\8&19&8&11\\&&9&10\\9&18&9&9\\---&---&---&---\\\end{array}[/tex]

number of triangle=18

b)

Side of the equilateral triangle =2

Height=√3 (using Pythagorean's theorem) (tr ACP)

Triangle ABJ has the same area as the triangle ABC

Uisng Thalès's theorem,

[tex]\dfrac{2-v}{2}=\dfrac{v}{\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3} }{2+\sqrt{3} } \\\\\\v=\dfrac{2\sqrt{3}*(2-\sqrt{3}) }{1} } \\\\v=4\sqrt{3}-6\\\\v^2=84-48\sqrt{3} \\Area =a\sqrt{b}-c= \sqrt{3} -(84-48\sqrt{3} )=49\sqrt{3} -84\approx{0,87049...}\\\\So:\\b=3\\a=49\\c=84\\\\a+b+c=3+49+84=136\\[/tex]

Answer:

(5,0)(3,0)

Step-by-step explanation:

x^2 - 8x + 15 = 0

(x - 5)(x - 3) = 0

x - 5 = 0

x = 5

x - 3 = 0

x = 3

Answer:

Kindly see explanation

Step-by-step explanation:

Given the following :

Amount of water in cooler = 144 ounces

Size of Will's water bottle = 16 ounces

Therefore, the amount of water left after filling his water bottle :

144 ounces - 16 ounces = 128 ounces of water.

The 128 ounces left was used to equally fill 16 plastic cups :

Therefore the number of ounces of water put in each cup equals :

(128 ounces ÷ 16 cups) = 8 ounces.

The maximum number of ounces of water will could have put in each cup is 8 ounces

Thus (0 < x ≤ 8)

See graph below

Answer:

Tablets.

Step-by-step explanation:

You didn't want an explanation so....here you go....no explanation.

Hope that helps and maybe earns a brainliest.

Have a great day!

Answer:

-0.3n + 0.6

Step-by-step explanation:

if we write out the entire expression we have:

0.5n - 0.3 - 0.8n + 0.9 (two negative signs create a positive sign)

then we add and subtract

and receive

-0.3n + 0.6

Answer:

-0.3n + 0.6

Step-by-step explanation:

We can eliminate the parentheses, obtaining:

0.5n - 0.3 - 0.8n + 0.9

and then combine like terms, obtaining:

-0.3n + 0.6

Answer:

A. 7 ft

Step-by-step explanation:

Volume is Length * Width * Height

12 * 3.4 * Height = 285.6

285.6 / 12 = 23.8

23.8 / 3.4 = 7

Answer:

60 textbooks

Step-by-step explanation:

1) 56*15:14=60

Answer:

60 textbooks

Step-by-step explanation:

To get the answer, you have to divide 56 by 14/15. What I'd do is id think of 56  

as 56/1. I'd change 14/15 into a multiplicative inverse/reciprocal, ending up with 15/14. From there, id multiply 56/1 and 15/14, ending up with 840/14.Using long division, id do 840 divided by 14, ending up with 60.

Answer:

Part A : see composition process below

Part B :    [tex]Domain=\{x\,|\,x\neq 0\}[/tex]

Step-by-step explanation:

Part A

Let's use the composition of functions to find if they give the identity : [tex]f(g(x))=x[/tex]  thus proving they are the inverses of each other:

[tex]f(g(x))=f(\frac{5x+1}{x} )=\frac{1}{\frac{5x+1}{x}-5} =\frac{1}{\frac{5x+1-5x}{x}} =\frac{1}{\frac{1}{x} } =x[/tex]

So we have proved they are the inverses of each other.

Part B

Given that the composition is:

[tex]f(g(x))=\frac{1}{\frac{1}{x} }[/tex]

the Domain must exclude x=0, for which this quotient is undefined.

The Domain is then:

[tex]Domain=\{x\,|\,x\neq 0\}[/tex]

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▹ Answer

$198

▹ Step-by-Step Explanation

[tex]\frac{22}{100} * 900\\\\\frac{22}{1} * 9 = \frac{198}{1} \\\\= 198[/tex]

Hope this helps!

CloutAnswers ❁

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Answer:

198

Step-by-step explanation:

22% of 900

22% * 900

Change to decimal form

.22 * 900

198

Answer:

its 28 dude, because it says that adults and children are played more on saturday.(adults on Saturday=$8 and children under 12 are $4

Answer:

[tex]Angle = 96[/tex]

Step-by-step explanation:

Given

The frequency table

Required:

Determine the sectorial angle of "3"

First we need to determine the total frequency;

[tex]Total = 3 + 4 + 6 +8 + 5 + 4[/tex]

[tex]Total = 30[/tex]

The sectorial angle is calculated as thus;

[tex]Angle = \frac{Frequency}{Total\ Frequency} * 360[/tex]

Where Frequency of "3" = 8

So;

[tex]Angle = \frac{8}{30} * 360[/tex]

[tex]Angle = \frac{8* 360}{30}[/tex]

[tex]Angle = \frac{2880}{30}[/tex]

[tex]Angle = 96[/tex]

Hence; the sectorial angle of "3" is 96

Answer:

x = 78

Step-by-step explanation:

The angles are vertical angles and vertical angles are equal

Answer:

78 degrees

Step-by-step explanation:

According to vertical angles theorem (vertical angles, angles that are opposite to each other and formed by two intersecting straight lines, are congruent) 78 and x are congruent

[tex] \sf \: g(x) = 1 - \frac{3}{4} x \\ \sf \:g(0) = \: ? \\ \\ \sf \: Substitute\: the \: value \: of \: x \: as \: 0 \\ \\ \sf \:1 - \frac{3}{4} (0) \\ \sf \: = 1 - \frac{3}{4} \times 0 \\ \sf \: = 1 - 0 \\ \sf \: = \underline{\bf \: 1}[/tex]

Hope it helps.

RainbowSalt2222

Answer: 24

Step-by-step explanation:

Colleen painted 7 windows, some of which were her mother's.

Her dad painted 7+1 (8) windows, and that is twice as much as what her mother was supposed to do. Her mother was supposed to do 4 windows. That means Colleen's share was 3 windows.

If all the kids had to do an equal amount of windows, than each kid had to do 3 windows.

8+7+3+3+3=24

The total windows in the house are 21.

It is an expression contains a relation between different parameters (variables). It contains variable and constant values, along with algebraic operations.

In our given problem, the algebraic relation between different members work output and total windows can be expressed as:

Windows painted by colleen and her mother = 7

Windows painted by father = (Windows painted by colleen and her mother + 1)

                                          = (7 + 1) = 8

∴ Windows painted by father = 8

Now, as given,

2 Windows painted by mother = Windows painted by father

∴ Windows painted by mother = [tex]\frac{8}{2}[/tex] = 4

and Windows painted by colleen = 7 - 4 = 3

Colleen and her 2 brothers paint equal windows;

∴  They painted 3 windows each.

The total windows in the house is equal to total painted windows by mother, father, colleen and her two brothers:

⇒ 4 + 8 + 3 x 3 = 12 + 9 = 21

Hence the total windows in the house are 21.

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Answer:

Step-by-step explanation:

I think 3-y slope

Answer:

x=4      or    x= - 16

Step-by-step explanation:

|x+6|

Now subtract 7 which equals to 3.

|x+6|-7=3

|x+6|=10

Now remove the mode by adding plus minus sign in the front of 10.

x+6=±10

x+6=10 or x+6=-10

x=4      or x=-16

Answer:

x = 0.8

Step-by-step explanation:

4(4x - 2) = x + 4

4*4x + 4*-2 = x + 4

16x - 8 = x + 4

16x - x = 4 + 8

15x = 12

x = 12/15

x = 0.8

Check:

4(4*0.8 - 2) = 0.8 + 4

4(3.2 - 2) = 4.8

4(1.2) = 4.8

Answer:

0.8 in decimal form

Step-by-step explanation: