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the answer would be 11 out of 30 because there is 11 boys in total and the total of boys and girls is 30 so the answer is 11 out of 30

The probability that a randomly selected person who can bike to school is a boy is 7/16 or 0.4375, which means there is a 43.75% chance that the person is a boy.

To determine the probability that a randomly selected person who can ride a bike to school is a boy, we will use the provided data.

Looking at the data table, we can see there are 7 boys who can bike to school, and the total number of students who can bike to school is 16 (this is the sum of boys and girls who can bike). In probability terms, the boys who can bike are the 'favorable outcomes' and the total students who can bike are the 'possible outcomes'.

Probability is calculated by dividing the number of favorable outcomes by the number of possible outcomes. Thus, the probability a randomly selected person can ride a bike to school is a boy is 7/16, or approximately 0.4375.

This means, if we were to randomly select a person who can bike to school, there is a 43.75% chance that the person is a boy. I hope this explanation helps explain how to determine probability using a data set.

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The correlation show in the scatter plot There is no positive or negative correlation

A statistical measure known as correlation expresses how closely two variables are related linearly (meaning they change together at a constant rate). It's a typical technique for describing straightforward connections without explicitly stating cause and consequence.

Given:

The positive linear correlation shows a line which is Diagonally rising.

and, The negative linear correlation shows a line which is Diagonally falling.

So, the graph we have no Correlation because it does not any falling and rising line.

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Answer:

i believe it is 185 feet

Answer:

-6x-5

Step-by-step explanation:

Answer:

6x^2-10

Step-by-step explanation:

(5x^2+2)-(-4x^2+7)+(-3x^2-5)=

5x^2+2+4x^2-7-3x^2-5=

5x^2+4x^2-3x^2+2-7-5=

9x^2-3x^2-5-5=

6x^2-10

Answer:

Situation 1 is exponential decay. Situation 2 is linear. Situation 3 is exponential growth.

Step-by-step explanation:

Situation 1 is exponential decay because it declined in a non linear way.

600-480=120 480-364=116

Situation 2 is linear because when it declined it has a dependent to another.

400-340=60 340-280=60

Situation 3 is exponential growth because is increases.

Answer:

24/121, the 2nd choice on edg

Step-by-step explanation:

4/11 times 6/11 so that becomes 24/121

Answer:

24/121

Step-by-step explanation:

Answer: c. 18.3

Step-by-step explanation: 100 times .6 equals 60 so if you divide 11 by .6 you get 18.3

Answer:

here you go

Step-by-step explanation:

add them all together = 60

+ 40 = 100

4 boxed

40 divided by 4 = 10

add 10 onto each number

red = 21%

silver = 34%

grey = 26%

black = 19%

all of them added together = 100%

Answer:

its the second, third, and fifth one

Step-by-step explanation:

Answer:

73.72

Step-by-step explanation:

Using law of Sines in area:

A(triangle) = S1 * S2 * sin(theta) /2

A(triangle) = 12 * 15 * sin(55) / 2 = about 73.72 when rounded

ANSWER: 73.72

Answer:150.

Step-by-step explanation:

Answer:

On a coordinate plane, a horizontal line is at y = 3 and another line goes through (0, 4) and (4, 0).

Step-by-step explanation:

Answer:

a, c, b, a

Step-by-step explanation:

Answer: 6

Step-by-step explanation:

The answer is 6 because subtract 6-9x=6x-10x-24

Answer:a wide cylinder

Step-by-step explanation:

Answer:

2 1/2 bars each.

Step-by-step explanation:

That would be 15/6.

Answer:

  20°

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

  ∠C = 180° -∠E = 180° -160°

  m∠BCD = 20°

Answer:

a cross section is the intersection of a solid and a plane.

Step-by-step explanation:

Answer: B

Step-by-step explanation:

Using 6 decimals for pi = 3.141592

[tex]Formula: C= \pi d\\[/tex]

[tex]C=(3.141592)(24in)\\C=75.398223in[/tex]

The gross margin percentage after packaging costs would be a) 30%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Danielle had planned her gift basket to be priced at $50 with a 40% gross margin.

let, The original price be 'x'.

Therefore, $50 is 140% of 'x' which is,

(140/100)×x = 50.

1.4x = 50.

x = 50/1.4.

x = 35.71.

Now, The packaging cost is $3 which makes the cost of the product 38.71.

So, (50/38.71)×100.

= 29% gross margin.

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Answer:

3/10 or 30%

Step-by-step explanation:

it is the number of pop songs in the list divided by all of the songs combined.

so 15 pop songs

over

12+13+10+15=50

15/50 is you answer

simplify and get

3/10

Final answer:

Perpendicular lines on a coordinate plane intersect to form right angles, which are precisely 90°. The slopes of perpendicular lines are negative reciprocals of each other.

Explanation:

When two lines on a coordinate plane are described as being perpendicular, this means they intersect to form right angles, which are angles of 90°. It's important to recognize that perpendicular lines have slopes that are negative reciprocals of each other. For example, if one line has a slope of 2, a line perpendicular to it would have a slope of -1/2. These slopes ensure that the angles formed between the lines are exactly 90 degrees.

In geometry and physics, this concept is further explored with orthogonal vectors, which are two vectors with directions that differ by exactly 90°, synonymous with perpendicular vectors. Their importance lies in various applications, such as breaking down a force into components acting along perpendicular axes.

Answer:

(a)x=100

(b)Maximum Height, h=53 Units

(c)x=200 Units

Step-by-step explanation:

Given the equation which describes the path of the baseball

[tex]h = -0.005x^2 + x + 3[/tex]

(a)Equation of the axis of symmetry

For a quadratic function of the form [tex]y=ax^2+bx+c[/tex], its equation of the axis of symmetry is determined by the equation:

[tex]x=-\dfrac{b}{2a}[/tex]

In the function given: a=–0.005, b=1

Therefore:

[tex]x=-\dfrac{1}{2*-0.005}=\dfrac{1}{0.01}\\\\x=100[/tex]

Equation of the axis of symmetry, x=100

(b)Maximum height reached by the baseball

The maximum height reached by the baseball occurs at the line of symmetry.

Therefore, when x=100

Maximum Height, [tex]h = -0.005(100)^2 + 100 + 3[/tex]

=53 Units

(c)When the height =3 feet, we want to determine the value of x.

[tex]h = -0.005x^2 + x + 3\\3 = -0.005x^2 + x + 3\\-0.005x^2 + x=0\\x(-0.005x + 1)=0\\-0.005x + 1=0\\-0.005x =-1\\$Divide both sides by -0.005\\x=200 Units[/tex]

Final answer:

The equation of the axis of symmetry is x = -100, the maximum height reached by the baseball is 103 feet, and to find the specific distance traveled when caught at 3 feet would require solving the quadratic equation given.

Explanation:

The equation h = –[tex]0.005x^2[/tex]+ x + 3 describes the path of a baseball hit into the outfield, where h is the height and x is the horizontal distance the ball travels.

a. What is the equation of the axis of symmetry?

The equation of the axis of symmetry for a quadratic equation in the form of [tex]ax^2 + bx + c[/tex] is given by x = –b/2a. Hence, for our equation, the axis of symmetry is x = –(1)/(2×–0.005) = –100.

b. What is the maximum height reached by the baseball?

The maximum height can be found by substituting the x-value of the axis of symmetry into the original equation. So, h = –[tex]0.005(100)^2[/tex] + 100 + 3 = 103 feet.

c. An outfielder catches the ball three feet above the ground. How far has the ball traveled horizontally when the outfielder catches it?

To find the horizontal distance when h is 3, we set the equation equal to 3: –[tex]0.005x^2 + x + 3 = 3.[/tex] Simplifying gives x values where the ball is at 3 feet off the ground. After simplification, one possible solution would be the distance before the ball reaches its peak. However, solving this particular quadratic may require a calculator for precise roots, implying the distances at which the ball is 3 feet high.

Answer:

92 i believe .

Step-by-step explanation:

We have been given that you invest $100,000 in an account earning 8% interest compounded annually. We are asked to find the time it will take the amount to reach $300,000.

We will use compound interest formula to solve our given problem.

[tex]A=P(1+\frac{r}{n})^{nt}[/tex], where,

A = Final amount after t years,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.  

[tex]8\%=\frac{8}{100}=0.08[/tex]

[tex]300,000=100,000(1+\frac{0.08}{1})^{1\cdot t}[/tex]

[tex]300,000=100,000(1.08)^{t}[/tex]

[tex]\frac{300,000}{100,000}=\frac{100,000(1.08)^{t}}{100,000}[/tex]

[tex]3=(1.08)^{t}[/tex]

[tex](1.08)^{t}=3[/tex]

Let us take natural log on both sides of equation.

[tex]\text{ln}((1.08)^{t})=\text{ln}(3)[/tex]

Using natural log property [tex]\text{ln}(a^b)=b\cdot \text{ln}(a)[/tex], we will get:

[tex]t\cdot \text{ln}(1.08)=\text{ln}(3)[/tex]

[tex]\frac{t\cdot \text{ln}(1.08)}{\text{ln}(1.08)}=\frac{\text{ln}(3)}{\text{ln}(1.08)}[/tex]

[tex]t=\frac{1.0986122886681097}{0.0769610411361283}[/tex]

[tex]t=14.274914586[/tex]

Upon rounding to nearest tenth of year, we will get:

[tex]t\approx 14.3[/tex]

Therefore, it will take approximately 14.3 years until the account holds $300,000.

Known :

Perimeter = 160 ft

length = 50 ft

Asked :

Area = ...?

Answer :

Find the width first :

Perimeter = 2 (length + width)

160 = 2 (50 + width)

width = (160 ÷ 2) - 50

width = 80 - 50

width = 30 ft

Now, let's find the Area :

Area = length × width

= 50 × 30

= 1.500 ft²

So, the area of the playground is 1.500 ft²

Hope it helpful and useful :)

Answer:

0.8 miles

Step-by-step explanation:

multiply 0.4 by 2

Answer: 0.8

Step-by-step explanation:

times it by 2

Answer:Jenny can make

18

identical necklaces, each containing 5 green and 6 blue beads.

Explanation:

Assume, each necklace contains

G

green and

B

blue beads and we have

N

such necklaces. All these variables are natural numbers.

Then we can establish the following equations in natural numbers:

N

⋅

G

=

90

N

⋅

B

=

108

Our task is to find a maximum

N

for which these two equations have a solution in natural numbers.

Obviously,

N

is a maximum common denominator of

90

and

108

.

To find the maximum common denominator of

90

and

108

, let's represent these two numbers as a product of prime numbers:

90

=

2

⋅

3

⋅

3

⋅

5

108

=

2

⋅

2

⋅

3

⋅

3

⋅

3

As we see, the maximum common denominator (a product of all prime numbers that are identical for both

90

and

108

) is

P

=

2

⋅

3

⋅

3

=

18

Therefore, assigning

N

=

18

,

G

=

5

and

B

=

6

, we obtain the solution:

Maximum number of identical necklaces is

N

=

18

with each necklace containing

G

=

5

green beads and

B

=

6

blue beads.

Answer

Step-by-step explanation:

Answer:

18/25

25/25 - 7/25 = 18/25

It is simplified

Step-by-step explanation:

Answer:

144 ft^2

Step-by-step explanation:

6 inches to feet (comparison based on scale) would make each side 12 feet long (6x2). 12 times 12 is 144.

Answer:

144

Step-by-step explanation: