The scientist measured the wingspans of another random sample of hawks in the national park. There were 100 hawks in the sample, and the number of hawks in the park is about 2,750. There were 82 hawks in the random sample that had a wingspan less than 50 inches. Which value best estimates the number of hawks in the national park that have a wingspan less than 50 inches?

Answer:

A. circle

Step-by-step explanation:

Answer:

A: Circle!

Step-by-step explanation:

Edge 2022

Step-by-step explanation:

Answer:

5206 cm^2

Step-by-step explanation:

2(31×23 + 31×35 + 23×35)

2(713 + 1085 + 805)

2(2603)

5206

Answer:

(6x + 3) + (7x - 44) = 180

6x + 3 + 7x - 44 = 180

13x - 41 = 180

13x = 221

adjacent x = 17

Answer:

Step-by-step explanation:

In order for a triangle to be a right triangle, it has to fit into Pythagorean's Theorem:

[tex]a^2+b^2=c^2[/tex] where c is the hypotenuse.

We need to figure out which is the longest side in each of those triangles and that is the hypotenuse.

In the first set, the sqrt of 443 is 21.04, but that is not the longest side; 24 is. So the Theorem formula for that is:

[tex]\sqrt{443}^2+17^2=24^2[/tex] which gives us

443 + 289 = 576, but 732 does not equal 576, so that one is not right.

In the second set, the sqrt of 725 is the longest side, so that formula is:

[tex]\sqrt{725}^2=14^2+23^2[/tex] which gives us

725 = 196 + 529, and 725 does equal 725, so that one is right.

In the third set, the sqrt of 890 is the longest side, so:

[tex]\sqrt{890}^2=19^2+23^2[/tex], which gives us

890 = 361 + 529, and 890 = 890, so that is a right triangle as well. That's how you know those are right, compared to the first one that is not.

Answer:

[tex]Ratio =16 : 31[/tex]

Step-by-step explanation:

Let

x = Freddie's age and y = His mother's age

Given

2001:=  [tex]x : y = 1 : 11[/tex]

2018:= [tex]x +17: y + 17= 2 : 5[/tex]

Required

The ratio of their age in 2030

[tex]x : y = 1 : 11[/tex]

[tex]x +17: y + 17= 2 : 5[/tex]

Express as fractions

[tex]\frac{x}{y} = \frac{1}{11}[/tex] --- (1)

[tex]\frac{x+17}{y+17} = \frac{2}{5}[/tex] -- (2)

In (1), make y the subject

[tex]\frac{x}{y} = \frac{1}{11}[/tex]

[tex]y = 11x[/tex]

Substitute [tex]y = 11x[/tex] in (2)

[tex]\frac{x+17}{y+17} = \frac{2}{5}[/tex]

[tex]\frac{x+17}{11x+17} = \frac{2}{5}[/tex]

Cross Multiply

[tex]5(x +17) = 2(11x + 17)[/tex]

[tex]5x +85 = 22x + 34[/tex]

Collect like terms

[tex]22x - 5x = 85 - 34[/tex]

[tex]17x = 51[/tex]

[tex]x =3[/tex]

[tex]y = 11x[/tex]

[tex]y = 11*3[/tex]

[tex]y = 33[/tex]

This means that: In 2001, Freddie was 3 and his mother was 33

In 2030 (29 years after);

Freddie will be: 3 + 29 = 32

His mother will be: 33 + 29 = 62

So, the ratio is:

[tex]Ratio =32 : 62[/tex]

Divide by 2

[tex]Ratio =16 : 31[/tex]

Answer:

d 16 minutes

Step-by-step explanation:

1 mile equals 8 minutes

2 miles equals 16 minutes

Answer:

9a²b²c²

Step-by-step explanation:

72a³b⁴c⁵ / 8ab²c³

= 9a²b²c²

Answer:

first type of fruit juice (35%) = 4

second type of fruit juice (100%) = 4

Step-by-step explanation:

4×35 = 140

4×100 = 400

400-140 = 260

Answer:

4) 8

Step-by-step explanation:

In the formula y = mx + b, m is the slope and b is the y-intercept

m = 8

b = -1

If m = 8 and m is the slope, then the slope is 8

Step-by-step explanation:

congratulations happy for you

Answer:

Step-by-step explanation:

Probability of finding 2 left handed students out of 8 samples is 0.1488 or 14.88%.

Binomial distribution is the distribution of a random variable X for which there are only two possibilities. The probability p for the success and the probability of 1-p for the failure, which consist of n trials.

Given,

Number of students in the college = 800

10% of which are left handed.

Probability of finding left handed student = 10% = 0.1

p = 0.1

q = 1 - 01 = 0.9

Number of samples, n = 8

We have to find P(x = 2)

The formula to calculate binomial distribution is,

P(x) = ⁿCₓ pˣ qⁿ⁻ˣ

P(x = 2) = ⁸C₂(0.1)²(0.9)⁶

            = 28 × (0.1)²(0.9)⁶

            = 0.14880348

            ≈ 0.1488

Hence the probability is 0.1488.

Learn more about Binomial Distribution here :

https://brainly.com/question/14565246

#SPJ7

Answer:

x = 139 degrees

Step-by-step explanation:

first, find what the missing interior angle is:

add the known angles:

90 + 49 = 139

subtract the sum from 180:

180 - 139 = 41

now to solve for x, take 180 and subtract 41:

180 - 41 = 139

x = 139 degrees

Answer:

it would take 215 dollars a year so it would take 23.3 years

Answer:

16 cm²

Step-by-step explanation:

The dimension of rectangle = 7cm by 4 cm

The Area of the greatest square that can be cut from the rectangle :

The dimension has to be the Same to form a square :

Hence, the greatest width = 4cm

Therefore, taking the length also as 4cm

Area of square = side length²

Greatest area of square that can be cut = 4² = 16cm²

Answer:

Step-by-step explanation:

Answer:

w < -2/45

Step-by-step explanation:

To solve the inequality, solve for w.

Divide each side by 10:

-4/9 > 10w

-2/45 > w

So, the solution to the inequality is w < -2/45

Answer:

w<-2/45

w∈(-∞,-2/45)

Step-by-step explanation:

10w<-4/9  /10

w<-2/45

w∈(-∞,-2/45)

Answer:

38° because the other two are cm? also you haven't linked a photo so I can't work out angle A

Answer:

Given

f(x)=18,000(.88)^x

We need to find the value of x when f(x) <2000

2000 = 18000(0.88)^x

0.88^x 2000/18000

0.88^x 1/9

• x = log (1/9) / log (0.88)

• x= 17 (rounded down)

After 17 years or during year 18 the car value will drop below $2000

Answer:

y=16 bc 17 -16 =1 which if u do backward equals the same thing

and all together is

18y+1 and just leave it like that dont touch the numbers or anything bc you cant take a 1 and join it with a variable

you can only join numbers with numbers and variables with variables

Answer:

vertex is (-4,-3)

and

axis of symmetry is x = -4

Answer:

the length of the pole is 9.90 feet.

Step-by-step explanation:

Answer: 50

Step-by-step explanation:

(7*8) - 6

56 - 6 = 50

Answer:

Hardness.

Step-by-step explanation:

A mineral's hardness is a measure of its relative resistance to scratching, measured by scratching the mineral against another substance of known hardness on the Mohs Hardness Scale.

Answer:

hardness

Step-by-step explanation:

number 3

Answer:

7.21 units

Step-by-step explanation:

GIven data

Point 1= (8,3)

x1= 8

y1= 3

Point 2=  (2,7)​

x2= 2

y2= 7

The expression for the distance between two points is given as

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((2-8)²+(7-3)²)

d=√((-6)²+(4)²)

d=√36+16

d=√52

d= 7.21

Hence the distance between the points is 7.21 units

i wont give the answer but i will tell you how to solve

Opening Exercise

The original triangle, labeled A, has been reflected across the first line, resulting in the image labeled B. Reflect the image across the second line. Carlos looked at the image of the reflection across the second line and said, “That’s not the image of triangle A after two reflections; that’s the image of triangle A after a rotation!” Do you agree? Why or why not?

Discussion

When you reflect a figure across a line, the original figure and its image share a line of symmetry, which we have called the line of reflection. When you reflect a figure across a line and then reflect the image across a line that intersects the first line, your final image is a rotation of the original figure. The center of rotation is the point at which the two lines of reflection intersect. The angle of rotation is determined by connecting the center of rotation to a pair of corresponding vertices on the original figure and the final image. The figure above is a 210° rotation (or 150° clockwise rotation).

Exploratory Challenge

Line of symmetry of a figure: This is an isosceles triangle. By definition, an isosceles triangle has at least two congruent sides. A line of symmetry of the triangle can be drawn from the top vertex to the midpoint of the base, decomposing the original triangle into two congruent right triangles. This line of symmetry can be thought of as a reflection across itself that takes the isosceles triangle to itself. Every point of the triangle on one side of the line of symmetry has a corresponding point on the triangle on the other side of the line of symmetry, given by reflecting the point across the line. In particular, the line of symmetry is equidistant from all corresponding pairs of points. Another way of thinking about line symmetry is that a figure has line symmetry if there exists a line (or lines) such that the image of the figure when reflected over the line is itself.

Does every figure have a line of symmetry?

Answer:

19

Step-by-step explanation:

2x+7=45

2x=45-7

2x=38

2x/2=38/2

X=19

Answer:

Left triangle:

69+69+x=180

x=42

90-42=48

x=48

Let me know if this helps!