A citys annual rainfall totals are normally distributed and the probability that the city gets more than 43.2 inches of rain in a year is given by P(z < 1.5) = 0.0668. If the standard deviation of the city's yearly rainfall total is 1,8 inches, what is the city mean annual rainfall?

Answer: 11k + 16 and 7k + 4k + 16

Step-by-step explanation: if we distribute the 4 first we get

7k+4k+16

we can aslo combine the k's to get

11k+16

hope this is helpful (^_^)

Answer:

23.33 (rounded down 23)

Step-by-step explanation:

The standard form of the polynomial is written as:

p(x) = 3*x^3 - 6*x^2 - 3x + 6

We know that a polynomial of degree N is with the zeros {x₁, x₂, ...} and a leading coefficient a can be written as:

p(x) = a*(x - x₁)*(x - x₂)*...*(x - xₙ)

In this case, we know that the leading coefficient is 3, and the zeros of the polynomial are {-1, 1, 2}

Then we can write:

p(x) = 3*(x + 1)*(x - 1)*(x - 2)

Now we need to expand that, we will get:

p(x) = 3*(x + 1)*(x - 1)*(x - 2)

p(x) = 3*(x^2 + 1*x + x*(-1) + 1*(-1))*(x - 2)

p(x) = 3*(x^2 - 1)*(x - 2)

p(x) = 3*(x^3 + x^2*(-2) - x + 2)

p(x) = 3*x^3 - 6*x^2 - 3x + 6

That is the polynomial in standard form.

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Answer:

1100/2 = 550

Step-by-step explanation:

A percent increase of 200% is equal to multiplying by 2. Therefore, we can divide by two to reverse the increase.

Answer:

See the matching below

Step-by-step explanation:

Given data

We have two expressions to match

3 * 9 and 2x3x9

3 * 9= 9*3

3 * 9=3*(4+5)

2x3x9= (2*3)*9

2x3x9= 9*3*2

Answer:

It is none of the above. The actual answer is 215

Step-by-step explanation:

8.6*50/2=215

Answer:

none of these

Step-by-step explanation:

on map 8.6 cm

scale 2cm: 50mi.

on reality if you divide the 8.5 cm into 2 cm portions and for each you have 50 mi. then you get the result

(8.6 /2)*50 = 215 mi.

Answer:

-3/4-x=5/6

x=-3/4-5/6

x=-3*6-5*4/6*4

x=-18-20/24

x=-38/24

x=-19/12

Step-by-step explanation:

hope it helps  

stay safe love u

btw can i get brainliest

Answer:

-5/3 - x = 5/6

-x = 5/6 +5/3

-x/-1 = (5/2)/-1

therefore x = -5/2

therefore -5/2 must be subtracted

Answer:

Um 1408

Step-by-step explanation:

2% of 35,200 is 704 and 304*2= 1408

Answer:

36622.80

Step-by-step explanation:

I don't know how to do it I used an app on my phone

Answer:

To draw a two way table for the own a mini van table as it says 26 own a minivan for people with 3 or more children is subtraction from the given full total 37;

37 - 26 = 11   and  finding two or more children is 51- ?= ?  see below ans 51- 11 = 40 for those that don't own a mini van.

Then its quick addition to find 40+17 = 57

See given answers in question already easy to answer in bold before doing the sums.

                             one or 2 children     |   3 or more children      Total

Do own a mini van                 11                     26                       =       37

Do not own a mini van         40                    17                          =      57

Total                                        51                    43                          =      94      

Answer:

x= 17/5

Step-by-step explanation:

Answer:

17/5

Step-by-step explanation:

hope this helps with the work

Answer:

Step-by-step explanation:

Answer:

The total weight is 5kg

Step-by-step explanation:

Given

See attachment for box plot

Required

Determine the total weight of the kitten

First, we represent the plot in the following table where the number of dots represent the frequency.

So, we have:

[tex]Weight \to Frequency[/tex]

[tex]\frac{1}{2} \to 3[/tex]

[tex]1 \to 2[/tex]

[tex]1\frac{1}{2} \to 1[/tex]

[tex]2 \to 0[/tex]

[tex]2\frac{1}{2} \to 0[/tex]

Multiply the weight by the frequency, then add up the result

So, we have:

[tex]Total = \frac{1}{2} * 3 + 1 * 2 + 1\frac{1}{2} * 1 + 2 * 0 + 2\frac{1}{2} * 0[/tex]

[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2} + 0 + 0[/tex]

[tex]Total = 1\frac{1}{2} + 2 + 1\frac{1}{2}[/tex]

Express as improper fraction

[tex]Total = \frac{3}{2} + 2 + \frac{3}{2}[/tex]

Take LCM

[tex]Total = \frac{3+4+3}{2}[/tex]

[tex]Total = \frac{10}{2}[/tex]

[tex]Total = 5kg[/tex]

Answer:

20 ft is where it's attached

Answer:

[tex]f(x) = -2x^3 -5x^2 +4x -2\\option 1 : x+2 \\f(-2) = -2(-2)^3 -5(-2)^2 +4(-2)-2 = 16 -20-8-2= -14\\\\\\option 2: x+3\\f(-3) = -2(-3)^3 -5(-3)^2 +4(-3) - 2 = 54 -45 -12-2 = -5\\\\option 3: x-2\\f(2) = -2(2)^3-5(2)^2-4(2)-2=-16 -20-8-2=-46\\\\option4 :x-3\\f(3) = -2(3)^3 - 5(3)^2-4(3)-2 = -54-45-12-2=-113\\[/tex]

option 1: x + 2

Answer:

A. -22

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

here you go! :))

n= 2

m=3

a= 10

q= 50

Answer:

7.1 meters

Step-by-step explanation:

Use the pythagorean theory:

10 would be the hypotenuse

7 would be one of the legs

and x (or whatever variable you'd like) would be the other leg.

7^2+x^2=10^2

49+x^2=100

subtract 49 from both sides

x^2=51

take the square root on both sides

x is approximately 7.1

Answer:

x = 3

Step-by-step explanation:

Answer:

The answer is x = 3

Answer:

∠P = 21

Step-by-step explanation:

angle P is an inscribed angle and arc RQ is the arc it intercepts

The measure of an inscribed angle is equal to half the measure of the arc it intercepts.

Hence, ∠P = [tex]\frac{1}{2}[/tex] ( arc RQ )

So if arc RQ = 42°

Then ∠P = 42/2

42 / 2 = 21

Hence, ∠P = 21°

Answer:

1) For [tex]a = 1[/tex]: [tex]b = 6[/tex] and [tex]k = 6[/tex], 2) For [tex]a = 3[/tex]: [tex]b = 4[/tex] and [tex]k = 12[/tex]

Step-by-step explanation:

The polynomial [tex]y = x^{2} - 7\cdot x + k[/tex] is a second-order polynomial of the form [tex](x-a)\cdot (x-b) = x^{2}-(a+b)\cdot x + a\cdot b[/tex]. By direct comparison, we construct the following system of equations:

[tex]a + b = 7[/tex] (1)

[tex]a\cdot b = k[/tex] (2)

By (1) we know that there are a family of pairs such that the system of equations is satisfied. Let suppose that both [tex]a[/tex] and [tex]b[/tex] are integers. We assume two arbitrary integers for [tex]a[/tex]:

1) [tex]a = 1[/tex]

[tex]b = 7 - a[/tex]

[tex]b = 6[/tex]

[tex]a\cdot b = k[/tex]

[tex]k = (6)\cdot (1)[/tex]

[tex]k = 6[/tex]

2) [tex]a = 3[/tex]

[tex]b = 7 - a[/tex]

[tex]b = 4[/tex]

[tex]a\cdot b = k[/tex]

[tex]k = (3)\cdot (4)[/tex]

[tex]k = 12[/tex]

Answer: 0.001

Step-by-step explanation:

Given

The lock has 3 dials, each with the number 0 through 9.

The first place can be filled in 10 ways and the probability of selecting number '4' out of the 10 is  [tex]\frac{1}{10}[/tex]

Similarly for selecting '3' and '9' is also [tex]\frac{1}{10}[/tex]

Therefore the probability of getting a combination of 4-3-9 is

[tex]\Rightarrow P=\dfrac{1}{10}\times \dfrac{1}{10}\times\dfrac{1}{10}\\\\\Rightarrow P=\dfrac{1}{1000}\\\\\Rightarrow P=0.001[/tex]

Answer:

A. (7,8,9)

Step-by-step explanation:

A. If, 7^2+8^2=9^2, then it is a pythagorean triplet.

But, 49+64 is not equal to 81.

Hence, the first trio is not a pythagorean triplet.

Answer:

The equation is [tex](x - 2)^2 + (y + 7)^2 = 9[/tex]

Step-by-step explanation:

Answer:

36 miles

Step-by-step explanation:

18 + 18 = 36

I didn't get a lot of information so my apologies if wrong.

Answer:

Joan<18

Step-by-step explanation:

These symbols indicate the following:

< less than

> greater than

= equal to

If Joan ran less than 18 miles, you must write the inequality just as you would say it. Therefore, Joan < 18 is the correct inequality.

Answer:B

I think we are in the same class lol

Step-by-step explanation:448 divided by 14= 32

448 divided by 16= 28

B=speed of boat in water

Y= Speed of current

B+y=32

B-y=28

32 + 28 =60

60 divided by 2 = 30

32 -30 =2

B=30

Y=2

Add my discord if you need more help Snapple#0141

A boat traveled 448 miles downstream and back. The trip downstream took 14 hours. The trip back took 16 hours. B) boat: 30 mph, current: 2 mph.

If the object is going linearly, and at a constant speed, then the speed of that object is given by the distance it traveled to the time it took to travel that distance.

If the object traveled D distance in T units time, then that object's speed is

[tex]Speed = S = \dfrac{\: Distance \: traveled}{\: Time \: taken} = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

A boat traveled 448 miles downstream and back.

The trip downstream took 14 hours. The trip back took 16 hours.

[tex]S = \dfrac{D}{T} \: \rm unit \: length/unit \: time[/tex]

Speed of downstream

448/ 14= 32

Speed of back stream

448 / 16= 28

B = Speed of boat in the water

Y = Speed of current

The system of equation

B + y = 32

B - y = 28

32 + 28 =60

60 / 2 = 30

So,

32 - 30 =2

B = 30  

Y = 2

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Answer:

did you get the answer yet I have the same question

Answer: a. 8 feet

the first question in part b is 1 and the second part is 9. ( or you could just put 1,9) c. 1 foot taller d. -2 and 4

Step-by-step explanation: you get answer A by looking at the C- value of the equation( in this case it’s 8)

you get the first answer to B by using the axis of symmetry formula -b/2(a) and that equals 1. You get the second answer to B by plugging in 1 into the equation..solve and get 9. So your answers in total should be (1,9)

For part C all you do is subtract the top of the ramp.. which is 8 from your vertex. in other words you do 9-8 and get 1 as your answer for C

Lastly, for D you use the quadratic formula ( or use photo math) and get answers -2 and 4.

If you’re also having problems on part E .. all you have to do is place a dot at point -2, place dot at point 4, place a dot at 8 on the Y AXIS, then place a dot at point (1,9) lastly, connect the dots with a line and the graph should look like an upside down U or V( whatever you think it looks like)

I hope this helped you guys!!

Answer: (−1,−812)

How to: Rewrite in vertex form and use this form to find the vertex ( h , k ) .

Have a great day and stay safe !

Answer:

Supplementary!

Answer:

Complementary I believe.

correct me if I’m wrong

if not adjacent