Avoiding an accident when driving can depend on reaction time. That time, measured in seconds from the moment the driver see danger until they step on the brake pedal, can be described by the Normal model with a mean of 1.5 seconds and a standard deviation of 0.18 seconds.

Note that this scenario is talking about a population distribution. There is no discussion of a sample or sample size. Therefore, you do not need to adjust the standard deviation that is given before using the normalcdf and invNorm commands.



a) What percent of drivers have a reaction time greater than 1.8 seconds?

Give the command and values you used as a way of showing your work:

Give your final answer rounded to 2 decimal places:



b) Describe the reaction time of the slowest 10% of all drivers? (Hint: The slower a person reacts, the higher their reaction time so this is looking at the right tail of the distribution)

Give the command and values you used as a way of showing your work:

Give your final answer rounded to 2 decimal places:

21=a+(a+4)

one piece is 8.5 ft

the other is 12.5 ft

Answer:

75%

Step-by-step explanation:

in order to find the percentage of something like this, all you need to do is divide the part by the whole, thus 240/320 to make 75%

Answer:

12:50

Step-by-step explanation:

in time after 60 minutes it goes to the next hour

so since is 20 minutes faster we are going to take it back 20 minutes backward

--› 1:10{when going backwards after 1:00 is 12:59}

--› 1:10 - 20

--› 12:50

The correct time on the clock is given by the equation A = 12 : 50 PM

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the correct time on the clock be represented as A

Now , the equation will be

The present time on the clock P = 1 : 10 PM

And , the time on the clock is 20 minutes faster than the actual time

So , substituting the values in the equation , we get

The correct time on the clock is given by A = present time on the clock P - 20 minutes

On simplifying the equation , we get

The correct time on the clock is given by A = 12 : 50 PM

Therefore , the value of A is 12 : 50 PM

Hence , the equation is solved

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Answer:

im sorry this is not an answer, im just doing this to complete my profile sorry

Answer:

the answer is B. this is because since they are on the same horizontal line, the distance is the value of the 3 plus the value of 6. so 6+3=9.

If you think about it in positives like 5 and 2, you'd subtract to get that the distance is 3. It's the same for -6 and 3.

Let's find

y=4

Distance of x axis we need

Answer:

Step-by-step explanation:

[tex]\bf \left( \dfrac{-11}{2} * +3 \right) -2*\left(\dfrac{11}{4}x-\dfrac{5}{2} \right) =\left( \dfrac{-33}{2} \right) - 2*\dfrac{11}{4}x - (-2) * \dfrac{5}{2}\\\\\\[/tex]

                                                   [tex]\bf = \dfrac{-33}{2}-\dfrac{11}{2}x + \dfrac{10}{2}\\\\\\ = \dfrac{-33-11x+10}{2}\\\\\\ = \dfrac{-23-11x}{2}[/tex]

Answer:

Refer to the following information on full-term births in the United States over a given period of time.

Type of Birth Number of Births

Single birth 47,200,000

Twins 600,000

Triplets 3000

Quadruplets 200

Use this information to estimate the probabilities of the following events.

(a) A randomly selected pregnant woman who reaches full term delivers twins. (Give the answer to three significant figures.)

(b) A randomly selected pregnant woman who reaches full term delivers quadruplets. (Give the answer to three significant figures.)

(c) A randomly selected pregnant woman who reaches full term gives birth to more than a single child. (Give the answer to three significant figures

Answer:

i’m pretty sure the answer is y=3/4x-13/4

Step-by-step explanation:

when you write its thi t would be an acute triangle. Basically, the one you think of when you think triangle.

but when its multi step its c

Step-by-step explanation:

Sum exterior measure = ( n-2)*180

( n-2 ) *180

(3-2)*180

180

x+4x-2+5x = 180

10x-2 = 180

10x = 180+2

10x = 182

x = 18.2

A = x

A = 18.2°

B=5x

B = 5(18.2)

B = 91°

C = 4x-2

C = 4(18.2)-2

C = 72.8-2

C = 70.8°

Answer:

Acute

Explanation:

Due to the fact that all the angles of an equilateral triangle have a measure of 60 degrees, the triangle must be acute as the measure of all acute angles are less than 180 degrees.

Answer:

Option B

Step-by-step explanation:

All equilateral triangles are "acute triangles" or option B. Acute triangles have degrees that are less than the degree of a right triangle which is 90 degrees. In this case all equilateral triangles have the sum of 60 degrees, which is less than the degree of a right triangle which means it is indeed a acute angle. It's not option D because obtuse triangles are triangles with angles that are more than 90 degrees, it's also not option C because each side of a scalene triangle is of different length in terms of degrees.

Hope this helps.

Answer:

the answer is 5 targets

Answer:

£5.95

Step-by-step explanation:

To find the cost of 12 DVDs, let x = 12

C(12) = 0.35 x 12 + 1.75

C(12) = 4.2 + 1.75

C(12) = 5.95

The cost of manufacturing 12 DVDs is $5.95.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, the cost of manufacturing a single DVD is represented by C(x) = 0.35x+ 1.75.

When, x=12

C(12)=0.35×12+1.75

C(12)=5.95

Therefore, the cost of manufacturing 12 DVDs is $5.95.

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Answer:

3 equals 49 cents 5 equals 81 cents

Answer:

C

Step-by-step explanation:

x is an input value and an element of the domain. f(x), the range, is 5.25.

Answer:

=> 1/2 × 1/2

=> 2/2

=> 1

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

Answer:

The least common denominator is 18:)

Answer:

(0,25)

Step-by-step explanation:

Answer:

I believe the y intercept is (0,25)

Answer:

35 more preferred white

Step-by-step explanation:

Black 18% * 250 = 18/100 * 250 = 45

White 32%*250 = 32/100 * 250 = 80

The  difference is 80 - 45 = 35

Answer:

this is great to hear I personally like light

Answer:20x2

Step-by-step explanation:

Hey there!

In  order to determine whether an ordered pair is a solution, all we have to do is plug in the values of x and y and see if we end up with a true statement.

The first pair is (-6, 1)

plug in 1 for y and -6 for x:

2(-6)+7(1)=-5

-12+7=-5

-5=-5

Yep! Here we have a true statement.

Therefore, this ordered pair is a solution.

2(9)+7(2)=-5

18+14=-5

Well, we can see that we have a false statement, because

32≠-5

and ≠ means "not equal to"

Let's try the third ordered pair.

2(8)+7(-3)=-5

16-21=-5

-5=-5

Great! We have another true statement :)

Let's try the last option.

2(-5)+7(-4)=-5

-10-28=-5

-38=-5

As we can see, we ended up with a false statement.

-38≠-5

Hence,

[tex]\boxed{\boxed{\bold{options~A~and~C~are~correct.}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

Answer:

The amount of money after 8 years is $8448.69

Step-by-step explanation:

The rule of the compound interest is  

[tex]A=p(1+r)^{t}[/tex] , where

∵ There is $7500 in an account

∴ P = 7500  

∵ The account paying 1.5% compound interest

∴ r = 1.5% = 1.5/100 = 0.015  

∵ The money will invest for 8 years

∴ t = 8

→ Substitute all of these values in the rule above to find A  

∵  [tex]A=7500(1+0.015)^{8}[/tex]

→ Use your calculator to find the answer  

∴ A = 8448.69

∴ The amount of money after 8 years is $8448.69

Answer:

Ok 2/3 / 1/8 = 2/3 *8 = 16/3. 16/3 is 5.33 which is 5 and a third of a container which is counted in this so 6 is the answer

Step-by-step explanation:

Answer:

The clerk is wrong because the total cost per map is $24.59

Step-by-step explanation:

since you know that you spent $73.77 for 3 maps you can set up the equation 73.77 = 3X (where x = cost per map)

once you divide 73.77 by 3 you get 24.59 and that equals the price per map

if it was like the clerk said and each map was 2.45 then the total cost shoud have been 7.35.

By using the general equation for a circle, we will see that the correct options are:

For a circle of radius R and center (a, b), the equation is given by:

(x - a)^2 + (y - b)^2 = R^2

With that in mind, if we look at the first equation:

(x + 3)^2 + (y + 5)^2 = 16 = 4^2

This is a circle centered at (-3, - 5) with a radius of 4 units.

For the second equation:

(x + 3)^2 + (y - 5)^2 = 4 = 2^2

The center is (-3, 5) and the radius is 2 units.

The third equation is:

(x - 3)^2 + (y - 5)^2 = 4 = 2^2

The center is (3, 5) and the radius is 2 units.

The fourth equation is:

(x - 3)^2 + (y + 5)^2 = 16 = 4^2

This is a circle centered at (3, - 5) with a radius of 4 units.

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The answer will be 160.99 or 161????

Answer:

The vertex of [tex]y = 4\, (x - 3)^{2} - 8[/tex] is at [tex](3,\, -8)[/tex].

Step-by-step explanation:

Consider a quadratic function with the point [tex](h,\, k)[/tex] as the vertex (for some constants [tex]h[/tex] and [tex]k[/tex].) It would then be possible to express this function in the vertex form [tex]y = a\, (x - h)^{2} + k[/tex] for some constant [tex]a[/tex] where [tex]a \ne 0[/tex]. (Note the minus sign in front of [tex]h[/tex].)

For example, the quadratic function [tex]y = 4\, (x - 3)^{2} - 8[/tex] in this question is expressed in this vertex form:

[tex]y = 4\, (x - 3)^{2} + (-8)[/tex].

The values of [tex]h[/tex] and [tex]k[/tex] are [tex]h = 3[/tex] and [tex]k = (-8)[/tex], respectively. Thus, the vertex of this parabola would be at the point [tex](3,\, -8)[/tex].

Answer:

[tex]\displaystyle [3, -8][/tex]

Explanation:

First off, this equation came from the quadratic equation [tex]\displaystyle [y = Ax^2 + Bx + C],[/tex]in which it was [tex]\displaystyle y = 4x^2 - 24x + 28.[/tex]In the vertex equation [tex]\displaystyle [y = A(x - h)^2 + k],[/tex]the vertex is represented by [tex]\displaystyle [h, k],[/tex]in which −h gives you OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be careful there.

I am joyous to assist you at any time.

Answer:

  C E A F B D

Step-by-step explanation:

A function is translated to the right by h units when x is replaced by (x-h) in the function. So, the larger h is, the farther right the vertex of the quadratic is.

The vertices will be arranged left to right by the ordering ...

  [tex]\boxed{y=f(x+3)}\rightarrow\boxed{y=f(x+2)}\rightarrow\boxed{y=f(x)}\rightarrow\boxed{y=f\left(x-\dfrac{1}{2}\right)}\\\\\rightarrow\boxed{y=f(x-4)}\rightarrow\boxed{y=f(x-7)}[/tex]

There are no other expressions intered. Please write them too.

Answer:

It CAN be 28.30