Adult Great Basin rattlesnakes have a mean length of 32.3 inches and a standard deviation of 5.3 inches; the length of adult Southern Pacific rattlesnakes is also 32.3 inches on average, but with a standard deviation of 7.95 inches. Both species have lengths that follow a normal distribution. You select a random sample of 36 Great Basin rattlesnakes and 100 Southern Pacific rattlesnakes. Which is more likely be shorter than 29.65 inches

Answer:

a square and rectangle have the same perimeter. the length of the rectangle is 4 cm less than twice the side of the square, and the width of the rectangle is 6 cm less than the side of the square.

Step-by-step explanation:

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The required side length of the square is 5 cm.

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Given that,

Length of rectangle = 7 cm,

Width of rectangle = 3 cm.

The perimeter of rectangle = 2(length + width)

                                             = 2(7 + 3)

                                             = 2 x 10

                                             = 20

Also, given that the perimeter of the rectangle is equal to the perimeter of a square,

Let side of square is a then perimeter = 4a

⇒ 4a = 20

⇒ a = 5

The side length of the square is 5 cm.

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9514 1404 393

Answer:

  y = 4x -7

Step-by-step explanation:

Rearranging the slope-intercept for equation, we can find the intercept:

  y = mx +b

  y -mx = b . . . . . subtract mx

We know the slope of the parallel line is the same as that of the given line (m=4), so we only need to find 'b'.

  b = 9 -4(4) = -7

The desired equation is ...

  y = mx +b

  y = 4x -7

Answer:

[tex]d= 3.61\ units[/tex]

Step-by-step explanation:

The points (missing) from the question are:

-2,1 and -5,3

Required

Evaluate [tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

In the points given:

[tex](x_1,y_1) = (-2,1)[/tex] and [tex](x_2,y_2) = (-5,3)[/tex]

Substitute these values in [tex]d= \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex]

[tex]d= \sqrt{(-5 - (-2))^2 + (3 - 1)^2[/tex]

[tex]d= \sqrt{(-3)^2 + (2)^2[/tex]

[tex]d= \sqrt{9 + 4[/tex]

[tex]d= \sqrt{13[/tex]

[tex]d= 3.61\ units[/tex] -- approximated

Answer:

674.6

Step-by-step explanation:

If the hundreths place is 4 or less, then you stay the same in the tenths place, if it is 5 or more, you go up 1 in the tenths place

Answer:

Y=6

Step-by-step explanation:

5(6)+1=31

30+1=31

Answer:

y=6

Step-by-step explanation:

5y+1=31

simplify

5y=30

divide both sides by 5

y=6

Answer:

Step-by-step explanation:

Change in one year:

Change after 5 years:

Answer:

1/2 b*h

Step-by-step explanation:

for rectangle it is b*h means double of that traingle

Answer:

-3/2

Step-by-step explanation:

go up 3 and left 2

Answer:

8 percent

Step-by-step explanation:

There is an 8 percent increase, because if you do 20 cents divided by 250 cents, you get 0.08, which is 8 percent. Also to double check, you can do 250 * 1.08. By the way, that is some rip off lunch.

Answer:

8+3+23

Step-by-step explanation:

b = -8

Hope I helped!!!!!!

Answer:

1181.15

Step-by-step explanation:

Step-by-step explanation:

V

≈

424.12

cm³

d

Diameter

cm

h

Height

cm

Answer:

your answer would be 0 mark as brainliest

Answer:

1. x = 15°

2. y = 12

Step-by-step explanation:

1. Determination of the value of x.

(5x – 5) + 110 = 180 (Adjacent angles add up to 180)

5x – 5 + 110 = 180

5x + 105 = 180

Collect like terms

5x = 180 – 105

5x = 75

Divide both side by 5

x = 75/5

x = 15°

2. Determination of the value of y.

3y – 4 = 2y + 8 (opposite sides are equal)

3y – 4 = 2y + 8

Collect like terms

3y – 2y = 8 + 4

y = 12

Answer:

Subtract 5

Step-by-step explanation:

Pemdas is done backwards in algebra

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

[tex]f(1) = 2[/tex]

Now, we find f(2) in function of f(1). So

[tex]f(1+1) = f(1)^2 - 3[/tex]

[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]

Now, with f(2), we can find the value of f(3).

[tex]f(2+1) = f(2)^2 - 3[/tex]

[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]

The value of f(3) is -2.

Answer:

k = m(x) - f(x)

Step-by-step explanation:

m(x) = f(x) +k

m(x) - f(x) = k

Answer:

A

Step-by-step explanation:

Answer:

[tex]L =52[/tex] --- Lower Limit

[tex]U =82[/tex] --- Upper Limit

Step-by-step explanation:

Given

[tex]N = 10[/tex]

[tex]Data: 74, 73, 77, 77, 71, 68, 65, 77, 67, 66[/tex]

Required

Determine the lower and upper limits of box and whisker display

First, arrange the data in ascending order

The sorted data is:

[tex]Data: 65, 66, 67, 68, 71, 73, 74, 77, 77, 77[/tex]

The lower limit (L) is calculated using:

[tex]L = Q_1 - 1.5 * (Q_3-Q_1)[/tex]

The upper limit (U) is calculated using:

[tex]U =Q_3 + 1.5 * (Q_3-Q_1)[/tex]

Q1 is calculated using:

[tex]Q_1 = \frac{1}{4}(N+1)[/tex]

[tex]Q_1 = \frac{1}{4}(10+1) = 2.75 = 3rd\ data[/tex]

[tex]Q_1 = 67[/tex]

Q3 is calculated using:

[tex]Q_3 = \frac{3}{4}(N+1)[/tex]

[tex]Q_3 = \frac{3}{4}(10+1) = 8.25= 8th\ data[/tex]

[tex]Q_3 = 77[/tex]

So:

[tex]L = Q_1 - 1.5 * (Q_3-Q_1)[/tex]

[tex]L =67 - 1.5*(77-67)[/tex]

[tex]L =67 - 1.5*10[/tex]

[tex]L =67 - 15[/tex]

[tex]L =52[/tex]

[tex]U =Q_3 + 1.5 * (Q_3-Q_1)[/tex]

[tex]U =67 + 1.5*(77-67)[/tex]

[tex]U =67 + 1.5*10[/tex]

[tex]U =67 + 15[/tex]

[tex]U =82[/tex]

Answer:

D. [tex] 9 \sqrt{2} [/tex]

Step-by-step explanation:

Side length of square = Perimeter/4 = 36/4 = 9

Length of diagonal (x)

[tex] = length \: of \: side \sqrt{2} \\ \\ = 9 \sqrt{2} [/tex]

9514 1404 393

Answer:

  6.5 cm

Step-by-step explanation:

The Pythagorean theorem applies. You want c for a=1.6, b=6.3.

  c² = a² +b²

  c² = 1.6² +6.3² = 2.56 +36.69 = 42.25

  c = √42.25 = 6.5

The length of the hypotenuse is 6.5 cm.

Answer:

m<1 = 62°

m<2 = 45°

m<3 = 24°

Step-by-step explanation:

Hi!

Let me walk you through it!

The first step is to find angle 1.

Angle 1 is supplementary with the angle 118°

So we do 180° - 118° = 62°

m<1 = 62°

Then we find angle 2.

There are two ways to do this

The sum of interior angles in a triangle is 180°

So we do 180° - (73 + 62°)

Open parenthesis:

180° - 73° - 62° = 45°

You can also use the exterior angle theorem

118° = 73° + m<2

Same to both sides:

45° = m<2

So

m<2 = 45°

Now, using this information, we can find angle measure 3.

Now we look at the big triangle. Again, there are two ways to do this.

First way:

m<1 + 49° + m<2 + m<3 = 180°

Plug in known-values

62° + 49° + 45° + m<3 = 180°

Combine like terms:

156° + m<3 = 180°

Same to both sides:

m<3 = 24°

Second way:

Exterior angle theorem.

118° = m<2 + m<3 + 49°

Plug in known-values:

118° = 45° + m<3 +49°

Combine like terms:

118° = 94° + m<3

Same to both sides:

24° = m<3

So m<3 = 24°

There you go! You just need to take it step-by-step and you can get the answer. Be open-minded, don't just try to go for a certain angle, see what you can do, and work from there. It all comes together at the end.

Let me know if you have any questions, have a good day!

You will need approximately 1.33 gallons of paint to cover the four walls with one coat, not including the windows and the door.

Given that,

Room dimensions:

Length: 16 feet

Width: 10 feet

Height: 8 feet

Features on the walls:

Two windows:

Width: 2 feet

Height: 5 feet

One door:

Width: 4 feet

Height: 7 feet

Paint coverage:

1 gallon of paint covers 350 square feet

Calculate the area of the walls first:

Subtract the area of the windows and door area from the total wall area.

The total wall area is the sum of the areas of all four walls.

The area of each wall is calculated by multiplying the height of the room by its length.

So, the area of each wall = 8 feet (height) x16 feet (length)

The area of each wall = 128 square feet.

Calculate the area of the windows and the door.

The area of each window is calculated by multiplying its width by its height.

So, the area of each window = 2 feet (width) x  5 feet (height)

The area of each window = 10 square feet.

The area of the door is calculated by multiplying its width by its height. So,

The area of the door = 4 feet (width) x 7 feet (height)

The area of the door  = 28 square feet.

Now, subtract the total area of the windows and the door from the total wall area.

Total wall area = 4 walls x 128 square feet

Total wall area  = 512 square feet

The total area of the windows = 2 windows x 10 square feet

The total area of the windows = 20 square feet

The total area of the door = 1 door x 28 square feet

The total area of the door = 28 square feet

Area to be painted = Total wall area - Total area of the windows - Total area of the door

Area to be painted = 512 square feet - 20 square feet - 28 square feet

Area to be painted = 464 square feet.

Now, we can determine the number of gallons of paint needed.

Since 1 gallon of paint covers 350 square feet,

Divide the area to be painted by 350.

The number of gallons of paint needed = Area to be painted / Coverage per gallon

The number of gallons of paint needed = 464 square feet / 350 square feet/gallon

The number of gallons of paint needed ≈ 1.33 gallons.

Hence, you will need approximately 1.33 gallons of paint to cover the four walls with one coat, not including the windows and the door.

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Answer:

x = 60

Step-by-step explanation:

(x+22) + (x+6) + (x-28) = 180

x + 22 + x + 6 + x - 28 = 180

x + x + x + 22 + 6 - 28 = 180

3x = 180

x = 180/3

x = 60

Answer:

The answer is -5n + 4x - 7y + 6

Step-by-step explanation:

Simplify the expression.

Hoped this helped!

Brainly, Please?

Answer:

Step-by-step explanation: