The weight of people in a small town in Missouri is known to be normally distributed with a mean of 162 pounds and a standard deviation of 28 pounds. On a raft that takes people across the river, a sign states, “Maximum capacity 3,401 pounds or 19 persons.” What is the probability that a random sample of 19 persons will exceed the weight limit of 3,401 pounds?

Answer:

yes

Step-by-step explanation:

The perimeter of the rectangle ABCD and WXYZ are 14 units and 28 units respectively. The perimeter of the rectangle ABCD and WXYZ are 12 units² and 48 units² respectively.

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

The perimeter of a rectangle = 2(L+W)

The vertices of two rectangles are A(−5,−1),B(−1,−1),C(−1,−4),D(−5,−4) and W(1,6),X(7,6),Y(7,−2),Z(1,−2).

As per the given data, the figure of two rectangles has been attached below.

According to the graph,

The perimeter of the rectangle ABCD = 2(3 + 4) = 2(7) = 14 units

The perimeter of the rectangle WXYZ = 2(6 + 8) = 2(14) = 28 units

The area of the rectangle ABCD = (3 × 4) = 12 units²

The area of the rectangle WXYZ = (6 × 8) = 48 units²

The rectangles are similar because the ratio of length to width is equivalent.

The perimeter of the rectangle ABCD and WXYZ are 14 units and 28 units respectively. The perimeter of the rectangle ABCD and WXYZ are 12 units² and 48 units² respectively.

Learn more about the Perimeter of the rectangle here:

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Answer:

y=3x+1

Step-by-step explanation:

m= [tex]\frac{-2-(-8)}{1-3} =\frac{-6}{2}[/tex] or -3

-8= -3(3) + b

-8= -9 + b

+9     +9

1=b

Then put in slope intercept form:

y= 3x+1

Hope this helps! :)

The amount of money that Kojo earn mowing lawns today is 30 cedis

To determine the amount of money that  Kojo earn mowing lawns today we are going to multiply the amount she earn by the her earning percentage.

Using this formula

Amount=Earning × Earning rate

Where:

Earning=50 cedis

Earning rate=60%

Let plug in the formula

Amount=50×.60

Amount=30

Inconclusion The amount of money that Kojo earn mowing lawns today is 30 cedis

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Since Kofi earned 60% of what he earned yesterday mowing lawns, today he earned 30 Cedis.

Given the following data:

To find how much money Kojo earn mowing lawns today:

In this exercise, you're required to find the amount of money earned by Kofi, if he was able to make certain amount of money the previous day.

Hence, we would determine what percentage of the money he earned today.

[tex]Today's\;earnings = \frac{60}{100} \times 50\\\\Today's\;earnings = \frac{3000}{100}[/tex]

Today's earnings = 30 Cedis

Read more: https://brainly.com/question/1015081

Answer:

Greatest common factor of 280 and 168 is 56

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Brainliest will be appreciated thank you!

Answer: 500

Step-by-step explanation: A third of 1,500 is 500, and 2/3 of 1,500 is 1,000. So, 1,500 - 1,000 = 500 liters. Therefore, in order to make the tank full, 500 liters of water are needed.

Answer:

20000

Step-by-step explanation:

You take the first non zero number on the left then add zeros for the remaining digits.

Answer:

b) 11

c)117.12

1.1×10^2

Those are my answer that try

Rewrite 1/2 as 4/8

Now add 5 3/8 + 2 4/8

Answer: 7 7/8

Answer:

14,15,16

Step-by-step explanation:

Call n the first integer so you get:

n+(n+1)+(n+2)=45

3n+3=45

3n=42

n=14

The integers are:

14,15,16

Answer:

14,15,16

Step-by-step explanation:

Let the integers be x, (x+1),(x+2)

So,

x+(x+1)+(x+2)=45

x+x+1+x+2=45

3x+3=45

3x=45-3

x= 42/3

x=14

Now put the value.

Now, Add these integers

you'll get

14+15+16=45

Answer:

cyclist will travel 64 kilometres in 4 hours

Step-by-step explanation:

speed of cyclist = 10 miles per hour

given 1 mile is equal to 1.6 kilometres.

1*10 miles will be equal to 1.6*10 kilometres

thus , 10 mile is equal to 16 kilometres

using 16 km in place of 10 miles in 10 miles per hour

we have

speed of cyclist = 16 kilometres per hour

we know that distance = speed * time

speed is 16 kilometres per hour

time 4 hours

thus , distance = 16*4 kilometres= 64 kilometres.

cyclist will travel 64 kilometres in 4 hours.

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

1450

Step-by-step explanation:

Any number times 10 goes up one value.

ones become tens, and tens become hundreds etc..

87x10=870

And a number times 100 goes up two values.

23.5x100= 2350

hope this helped ;)

Step-by-step explanation:

you don't have a calculator ? with that you would have gotten the answer immediately.

so you had to write the question in here, need to wait for an answer, ...

but actually, this is very easy to solve even without a calculator, as this is how our decimal numbers work : based on powers of 10.

multiplying by 100 moves the decimal point 2 positions to the right (and fill up with zeros where necessary) :

14.5 × 100 = 1450

a multiplication by 10 moves the decimal point 1 position to the right.

a multiplication with 1000 3 positions to the right. and so on.

a division by 100 moves the decimal point 2 positions to the left (and fill up with zeros where necessary). and so on.

Answer:

The graph of g(x) is stretched vertically by a factor of 5/3.

Step-by-step explanation:

f(x) = √x

g(x) = √25/9 x = 5/3 √x

5/3 > 1 .. vertical stretch by a factor of 5/3

Answer: 18 cm2

Step-by-step explanation: the surface area of the cube is 54 cm2 and the rectangular prism is 72 cm2 so 72 - 54 = 18

Given :

To find :-

Solution :-

Taking the given equation ,

Answer:

x = 11

Step-by-step explanation:

3x-2x=9+2 1st and 2nd principle

X=11

Step-by-step explanation:

given,

length = 100 m

breadth = 60 m

we know,

area = l × b

now,

100 × 60 = 6000 m

therefore, area of rectangular field is 6,000 m.

and for both the semicircle if we add both the semicircle we will get a complete circle.

as the width of the rectangle is the diameter of circle so the radius of the circle is 60/2 = 30m

we know,

Area = πr²

now,

→ 3.14 × 30²

→ 3.14 × 900

→ 2826 m

so,

area of rectangle + area of circle = area of the training field.

→ 6000 + 2826 = 8826.

therefore, area of training field is 8,826 m.

hope this answer helps you dear...take care and may u have a great day ahead!

Answer:

8826 m²

Step-by-step explanation:

The field is composed of a rectangle and a circle .( the 2 semicircles form a complete circle when placed together )

area = area of rectangle + area of circle

        = lb + πr² ( r = 60 ÷ 2 = 30 )

        = (100 × 60) + (3.14 × 30²)

        = 6000 + (3.14 × 900)

        = 6000 + 2826

        = 8826 m²

Answer:

  (x, y) = (7, 4)

Step-by-step explanation:

I find a graphing calculator to give a solution quickly and easily.

  (x, y) = (7, 4)

__

Here, we can solve the first equation for x, then substitute into the second.

  x = 23 -4y

  -2(23 -4y) +3y = -2 . . . . . substitute for x

  -46 +8y +3y = -2 . . . . . eliminate parentheses

  11y = 44 . . . . . . . . . . . collect terms

  y = 4 . . . . . . . . . . . . divide by the coefficient of y

  x = 23 -4·4 = 7 . . . . use the expression for x to find x

  (x, y) = (7, 4)

I only have the answer for 1, but !

1. The area of a parallelogram is  base times height. Since the area of that rectangle is twice the area of the circle, then the area of the circle is half the base times the height. It will be half of 2πr· r. The area of the circle will be πr2

Answer:

C

Step-by-step explanation:

2 times 7 is 14 highest dollar per hour rate

Answer:

Point C

Step-by-step explanation:

In order to determine the price point that will provide the most revenue, you could multiply the price per taco by its corresponding quantity demanded:

A) $3.00 × 2 tacos demanded = $6

B) $2.50 × 4 tacos demanded = $10

C) $2.00 × 7 tacos demanded = $14

D) $1.50  × 8 tacos demanded = $12

E) $1.00  × 12 tacos demanded = $12

Of all the given values, it turns out that at Point C, where price per taco is $2, and the quantity demanded for that price is 7, provides the most return for Rocco's.

Therefore, the price point that providees the most return is $2.

Step-by-step explanation:

#G

enjoy. my son haha. lol

G=Z6×Z2G=Z6×Z2 will do (where ZnZn denotes the cyclic group of order nn). As a direct product of cyclic (so abelian) groups, GG is again abelian. Given any element (x,y)∈G(x,y)∈G, the order of (x,y)(x,y) will be the least common multiple of the orders of x,y.x,y.  

The order of xx must divide 66 and the order of yy must divide 2,2, so the order of (x,y)(x,y) is at most lcm(6,2)=6.lcm⁡(6,2)=6. But |G|=|Z6|⋅|Z2|=6⋅2=12.|G|=|Z6|⋅|Z2|=6⋅2=12. Since no element of GG has order 12,12, then GG is not cyclic.

Answer:

x-0 12

Step-by-step explanation:

i hope cant help p please follow me in brainly and hearts and give me a star

Answer:

its graph c

Step-by-step explanation:

Answer:

306.

Step-by-step explanation:

Firstly, we are aware 100% of 680 is obviously 680,

Next, we know half of a 100% is 50% therefore half of 680 is 340.

Then, we know 45% is 5% less than 50%

To find 5% of a number mentally, divide it by 10 as 100÷5=20

680÷20=34

Lastly 50% subtracted by 5%: 340-34=306.

Now we know, 45% of 680 is 306.

Hope this helps.

Hope this helps.Please mark BRAINLIEST.

Answer:

Second Choice

Step-by-step explanation:

The vertex form can be expressed as:

[tex] \displaystyle \large{f(x) = a {(x - h)}^{2} + k}[/tex]

We know that the vertex is (h,k) which we are given (-3,-1). Substitute h = -3 and k = -1 in:

[tex] \displaystyle \large{f(x) = a {(x - ( - 3))}^{2} - 1} \\ \displaystyle \large{f(x) = a {(x + 3)}^{2} - 1}[/tex]

Now we know that the parabola passes through (-2,1). Substitute x = -2 and f(x) = 1 then solve for a.

[tex] \displaystyle \large{1= a {( - 2 + 3)}^{2} - 1} \\ \displaystyle \large{1= a {(1)}^{2} - 1} \\ \displaystyle \large{1= a - 1} \\ \displaystyle \large{1 + 1= a } \\ \displaystyle \large{2 = a}[/tex]

Therefore a = 2.

Hence:-

[tex] \displaystyle \large{f(x) = 2{(x + 3)}^{2} - 1}[/tex]

⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ B = Bracket

⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ O = Open

⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ D = Division

⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ M = Multiplication

⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ A = Addition

⠀⠀⠀⠀⠀⠀⠀⠀⠀➥ S = Subtraction

Answer:

B= Bracket

O= Open

D=Divide

M=Multiplication

A=Addition

S=Subtraction

Answer:

The local newspaper has letters to the editor from 80 people. If this number represents 2% of all of the newspaper's readers, how many readers does the newspaper have?

Step-by-step explanation:

2%ofx=80

or, 2/100 *X = 80

or, 2x =800

or, x = 400

Answer:

A

Step-by-step explanation:

count both sides divide by missing pieices

Answer:

=3x+5

Step-by-step explanation:

Let's simplify step-by-step.

5x+5−2x

=5x+5+−2x

Combine Like Terms:

=5x+5+−2x

=(5x+−2x)+(5)

=3x+5

Answer:

=3x+5

Answer:

[tex]\boxed{\boxed{\sf 3x+5 }}[/tex]

Step-by-step explanation:

[tex]\sf (5x+5)-2x[/tex]

[tex]\sf \left(a\right)=a[/tex]

⇒ First step is to get rid of expression parentheses:

[tex]\longmapsto[/tex] [tex]\sf 5x+5-2x[/tex]

⇒ Now, we need to combine like terms:

[tex]\longmapsto[/tex] [tex]\sf (5x-2x)[/tex] [tex](5)[/tex]

[tex]\longmapsto[/tex]  [tex]\sf 3x+5[/tex]

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