51 samples were analyzed, and the sample mean was 9.7 ounces. Can you determine the standard deviation of the sample

According to the discrete distribution given:

1) There is a 0.18 = 18% probability that on a randomly selected day there were no accidents.

2) There is a 0.7 = 70% probability that there will be at least 2 accidents.

3) On any given day, the Wilmington police should expect to have 2.03 accidents.

The distribution is:

[tex]P(X = 0) = x[/tex]

[tex]P(X = 1) = 0.12[/tex]

[tex]P(X = 2) = 0.32[/tex]

[tex]P(X = 3) = 0.25[/tex]

[tex]P(X = 4) = 0.13[/tex]

Item 1:

The sum of the probabilities has to be 100% = 1, hence:

[tex]x + 0.12 + 0.32 + 0.25 + 0.13 = 1[/tex]

[tex]x + 0.82 = 1[/tex]

[tex]x = 0.18[/tex]

0.18 = 18% probability that on a randomly selected day there were no accidents.

Item 2:

This probability is:

[tex]P(X \geq 2) = P(X = 2) + P(X = 3) + P(X = 4) = 0.32 + 0.25 + 0.13 = 0.7[/tex]

0.7 = 70% probability that there will be at least 2 accidents.

Item 3:

The expected value is the sum of each outcome multiplied by it's respective probability, hence:

[tex]E(X) = 0.18(0) + 0.12(1) + 0.32(2) + 0.25(3) + 0.13(4) = 2.03[/tex]

On any given day, the Wilmington police should expect to have 2.03 accidents.

A similar problem is given at https://brainly.com/question/25653146

Answer:

the pic wont load for me

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

There are 12 months in 1 year , then

3 lots of 4 months in 1 year and

3 × 3 = 9 lots of 4 months in 3 years

cost of lessons = $174 × 9 = $1566 → C

Answer:

Step 1, she reversed the values of x. It should have been 4 - (-2) not -2 - 4.

Step-by-step explanation:

Fern made a mistake in writing equation [1] where she wrote  {-2 - 4} in the denominator in place of {4 -(-2)}.

The general equation of a straight line is -

y = mx + c

Where -

[m] is the slope of the line.

[c] is the y - intercept

Given is Fern who is finding the slope of the line that passes through (-2, 8) and (4, 6).

In order to find the slope of the line, the following formula is used -

m = (y₂ - y₁)/(x₂ - x₁)

So, the slope of the line passing through the given points can be calculated using the following steps -

m = (6 - 8)/{4 -(-2)}                       ..[1]

m = -2/6                              

m = -1/3

Fern made mistake in writing equation [1]. She should have written

{4 -(-2)} in the denominator in place of {-2 - 4}

Therefore, fern made a mistake in writing equation [1] where she wrote  {-2 - 4} in the denominator in place of {4 -(-2)}.

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Step-by-step explanation:

Red taxi : y = 2x + 2

Green taxi : y = x + 5

Y are the costs of a ride, X are the miles of a ride.

The y-intercepts are the cost of just getting into a cab.

So, that is $2 for a red cab and $5 for a green cab.

Every mile with a red cab costs $2, while every mile with a green cab costs $1.

Hope this helps :)

Step-by-step explanation:

First we have to same the bases.

As we know 8=2^3.

Replace 8 with 2^3.

Like this .

2^3x=2^3(2x+1).

Now 3x=3(2x+1) distribute 3 by the Barker.

3x=6x+3.

6x+3=3x.

6x-3x=-3.

3x=-3.

X=-1.

Answer:   time is 1.1 sec

Step-by-step explanation:

Answer:

1.1s

Step-by-step explanation:

t=m/F

t=time, m=momentum, F=Force

t=22/20= 1.1s

Answer:

A

Step-by-step explanation:

Remember, the equation of slope-intercept is y=mx+b

We see that for A, that the first equation's slope is -2/3. That means we are going to move down two and left five. The reason why we are going down is that the slope is negative. We also know that our y-intercept is -4. So we first plot the point (0,-4). Then we move down two and left five. We apply the same knowledge with the second equation. When we plot both equations, we get the same exact graph as the picture.

Answer: 7b + 8c + 5d + 6

Step-by-step explanation:

1) (7+7b)+(-2+8c)+(1+5d)

combine like terms (starts with the ones with variables)

2) 7b + 8c + 5d

now all you need to do is add the numbers without variables

3) 7b + 8c + 5d + (7 + -2 + 1)

4) 7b + 8c + 5d + 6

Answer:

20/33

Step-by-step explanation:

i took the test

Answer:

x = 20/33

Step-by-step explanation:

−6.6x = −4

Divide both sides by -6.6

x = -4/(-6.6)

x = 40/66

x = 20/33

Answer: x = 20/33

Answer:

8 and 2

Step-by-step explanation:

If you add them together you get 10. (8 + 2 = 10)

If you multiply them you get 16. (8 x 2 = 16)

Have a great day! (I'd love brainiest if you could give it to me!)

Step-by-step explanation:

every new term is created by adding a constant (I call here x) to the previous term.

a1 = b

a2 = c = a1 + x = b + x

a3 = a2 + x = a1 + 2x = b + 2x

so, we see

an = a1 + (n-1)x = b + (n-1)x

from a1 and a2 we know

c = b + x

x = c - b

so, ultimately we have

an = b + (n-1)(c-b)

The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.

A series of integers called an arithmetic succession or arithmetic chain of events has a fixed difference between the terms.

Let a₁ be the first term and d be a common difference.

Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The first term of an arithmetic sequence is b and the second term is c.

a₁ = b

a₂ = c

Then the common difference is given as,

d = a₂ - a₁

d = c - b

Then the explicit formula to find the nth term of the sequence will be given as,

aₙ = b + (n - 1) × (c - b)

aₙ = b + cn - c - nb + b

aₙ = cn - nb + 2b - c

The explicit formula to find the nth term of the sequence will be aₙ = cn - nb + 2b - c.

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Answer:

I think the common difference is 2. The formula to create the sequence is n (number) is multiplied by 2.

1 x 2 = 2

2 x 2 = 4

4 x 2 = 8

8 x 2 = 16

16 x 2 = 32

32 x 2 = 64

64 x 2 = 128

128 x 2 = 256  

256 is the 8th term of the sequence. Since your question says that we should look for the sum, add the number of the sequence I guess.  

2 + 4 +8 + 16 + 32 + 64 + 128 + 256 = 510

Answer:

2 13/20

Step-by-step explanation:

53/20

Simplify

2 13/20

SI

$1 000 × 4 % × 10 = $400

CI

($1 000 × 1.04 ^10) - $1 000 = $1 480.24 - $1 000 = $480.24

Interest on interest only applies to Compound Interest.

Excluding year 1, which yields $40 [the same as SI] the interest on interest yields $480.24 - $40 = $440.24

- BRAINLIEST answerer

The solution is $ 1050

The interest on a deposit of $ 1000 at 5% for an year will be $50 and the amount after one year is $ 1050.00

What is Simple Interest?

Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Given data ,

Let the simple interest be represented as S

Now , the initial amount or principal be P = $ 1000

The rate of interest R = 5 %

The time period T = 1 year

So , the simple interest is given by the equation

Simple Interest = ( Principal Amount x Rate x Time Period ) / 100

Substituting the values in the equation , we get

Simple Interest S = ( 1000 x 5 x 1 ) / 100

On simplifying the equation , we get

Simple Interest S = 5000/100

Simple Interest S = $ 50

And , the amount after one year = Principal + Simple Interest

The amount after one year A = $ 1000 + $ 50

The amount after one year A = $ 1050.00

Hence , the amount is $ 1050.00

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Answer:

3/20

Step-by-step explanation:

3/20 I sure, Just trying this one

Answer:

x= 38

y= 71

Step-by-step explanation:

The triangle shown in the figure is an isosceles triangle, a triangle having two sides equal.

The two sides marked with a "dash" are said to be equal.

If we label off the triangle as ABC with AD being the extended length (containing 108°).

We'll get,

AB = AC

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

*Property*

"If two sides of a triangle are equal their corresponding base angles are equal too."

=> ∠BAC = ∠BCA . . . . (¡)

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

From the figure, ∠BCA is equal to y.

*Property*

"Two angles on a straight line sum up to 180°"

∠BAC can be found out by subtracting 109° from the straight angle (180°).

=> ∠BAC = 180 - 109

=> ∠BAC = 71°

Substituting these values in eqn. (¡):

71 = y

Hence, the value of y is 71°

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

*Property*

"The exterior angle(angle on the extended side) of a triangle is equal to the sum of it's interior opposite angles."

Here,

=> 109 = x + 71

=> 109 - 71 = x

=> x = 38°

Hence, the value of x is 38°.

Answer:

The functions each have a positive Slope

a.)True, False

Step-by-step explanation:

Function A Slope: (y2-y1)/(x2-x1) = (7-3)/(2-1) = 4

Function B Slope: Count Four Boxes up from the 2 intercepts and then 2 over --> 4/2 = 2

These are both positive but 4 does not equal 2

a.) We have just proved that they have different slopes now we must determine if they have the same b. Because we know the slope of Function A we can simply move backward to get to x=0

When X=0 y= 3-4 = -1 And because in Function B we can clearly see the b at y=4 this is false.

Hope this helps and makes you have an Awesome Day!

Answer:

a

Step-by-step explanation:

it has the same a prime bundle

Answer:

$18.75

Step-by-step explanation:

multiply 25 * 3/4 ( 0.75) and you get 18.75

Answer:

3 chocolates each night

Step-by-step explanation:

C-3

t-1

Answer:

  2y^2 +7y +11

Step-by-step explanation:

The remaining length is the difference between the original and the length cut off:

  remaining = whole length - piece length

  remaining = (3y^2 +7y +1) -(y^2 -10)

  = 3y^2 +7y +1 -y^2 +10  = (3 -1)y^2 +7y +(1 +10)

  remaining = 2y^2 +7y +11

Answer:

2  again and the next one is 3

Step-by-step explanation:

Answer:

The main reason to know the multiplication table is so you can more easily multiply larger numbers. For example, suppose you want to multiply 53 x 7. Start by stacking these numbers on top of another, aligning the ones place. Draw a line underneath, and then multiply 3 by 7. Because 3 x 7 = 21, write down the ones digit (1) and carry the tens digit (2) to the tens column:

Next, multiply 5 by 7. This time, 5 x 7 = 35. But you also need to add the 2 that you carried over, which makes the result 37. Because 5 and 7 are the last numbers to multiply, you don’t have to carry, so write down the 37 — you find that 53 x 7 = 371:

When multiplying larger numbers, the idea is similar. For example, suppose you want to multiply 53 by 47. Be sure to align the stacked numbers by the ones place. (The first few steps — multiplying by the 7 in 47 — are the same, so pick up the next step.) Now you’re ready to multiply by the 4 in 47. But remember that this 4 is in the tens column, so it really means 40. So to begin, put a 0 directly under the 1 in 371:

This 0 acts as a placeholder so that this row is aligned properly.

When multiplying by larger numbers with two digits or more, use one placeholding zero when multiplying by the tens digit, two placeholding zeros when multiplying by the hundreds digit

Answer:

Answer:

If there's a common factor, divide both sides of the equation by that number to simplify the situation. If b = 0 (no bx term), go to the square root method. (if c is positive, there are no solutions). If c = 0, then one of your solutions is x = 0

Step-by-step explanation:

hope this helps!!!!