the ratio of boys and girs at rotterdam high school is 3:5. there are 160 students at the school calculate the number of boys and the number of girls at rotterdam high school

Using the z-distribution, it is found that the p-value is of 0.03.

At the null hypothesis, it is tested if the proportion is of 0.5, that is:

[tex]H_0: p = 0.5[/tex]

At the alternative hypothesis, it is tested if the proportion is different of 0.5, that is:

[tex]H_a: p \neq 0.5[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

In which:

For this problem, the parameters are: [tex]p = 0.5, n = 150, \overline{p} = \frac{62}{150} = 0.4133[/tex]

Hence, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.4133 - 0.5}{\sqrt{\frac{0.5(0.5)}{150}}}[/tex]

[tex]z = -2.12[/tex]

The p-value is found using a z-distribution calculator, with z = -2.12 and a two-tailed test, as we are testing if the mean is different of a value, hence it is of 0.03.

To learn more about the use of the z-distribution for hypothesis tests, you can take a look at https://brainly.com/question/16313918

Answer:

28?

Step-by-step explanation:

4x=2x+56 (equal angles)

2x=56 (divide both sides by 2)

x=28 (angle)

Answer:

∠B = 112°

Step-by-step explanation:

1) ∠B and ∠D are congruent because they are alternate interior angles (same side interior) so they equal the same

2) Set the two expressions equal to each other:

2x+56 = 4x

56 = 2x

x=28

3) Plug 28 in for x in the expression (2x+56) and get 112°

Answer:

that depends if it's taken in consideration the pizzas that he ate were from the 40 slices or not

Answer:

he ate 5 slices

Step-by-step explanation:

Answer:

x=27

Step-by-step explanation:

Same side exterior angles are supplementary when the lines are parallel

3x-3 + 4x-6 = 180

7x -9 =180

Add 9 to each side

7x-9+9 = 180+9

7x = 189

Divide each side by 7

7x/7 = 189/7

x =27

Answer:

graph is in linked files

Step-by-step explanation:

The distance in given time t is determined by substituting the value of time and solving the equation.

At 2 hours, the traveler is 725 miles from home.

At 3 hours, the distance is constant, at 880 miles.

The total distance from home after 6 hours is 1,062.5 miles.

Given that,

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

D(t) = 300t + 125

We have to determine,

Which times and distances are represented by the function?

According to the question,

The function D(t) defines a traveler’s distance from home, in miles, as a function of time, in hours.

1. The starting distance at 0 hours is ;

At [tex]0 \leq t < 2.5[/tex]

Then,

[tex]\rm D(t) = 300t + 125 ;\\\\\ D(0) = 300(0) + 125 = 125 \ miles[/tex]

The starting distance, at 0 hours, is 125 miles.

2. The distance at 2 hours is,

[tex]\rm D(t) = 300t + 125 ;\\\\\ D(2) = 300(2) + 125\\\\ D(2) =600+125\\\\ D(2) = 725 \ miles[/tex]

At 2 hours, the traveler is 725 miles from home.

3. The distance at t = 2.5 hours is,

At 2.5 ≤ t ≤ 3.5

D(2.5) = 880 miles (Fixed)

At 2.5 hours, the traveler is 880 miles from home.

4. The distance at t = 3 hours is,

2.5 ≤ t ≤ 2.5

D(3) = 880 miles

At 3 hours, the distance is constant, at 880 miles.

5. The distance at t = 6 hours is,

3.5 < t ≤ 6

[tex]\rm D(t) = 300t + 125 ;\\\\\ D (6)= 75(6) + 612.5\\\\ D(6) = 450 + 612.5\\\\D(6) = 1062.5 miles[/tex]

The total distance from home after 6 hours is 1,062.5 miles.

For more details about Average distance refer to the link given below.

https://brainly.com/question/25969947

1. The quotient is 0.5.

2. She will use 0.7m long for each frame.

3. Each child received 0.71 Php.

4. Each son will receive 0.85 hectares.

5. Each bag contains 0,93 kilos.

Learn more about maths in https://brainly.com/question/25927059

Answer:

B. x^2 - 10x + 25

Step-by-step explanation:

(x - 5)^2

(x - 5)(x - 5)

x^2 - 5x - 5x + 25

x^2 - 10x + 25

Answer:

Step-by-step explanation:

5

+

1

=

3

+

7

5x+1=3x+7

Solve

1

Subtract  

1

1

from both sides of the equation

5

+

1

=

3

+

7

5x+1=3x+7

5

+

1

−

1

=

3

+

7

−

1

5x+1{\color{#c92786}{-1}}=3x+7{\color{#c92786}{-1}}

2

Simplify

Subtract the numbers

Subtract the numbers

5

=

3

+

6

5x=3x+6

3

Subtract  

3

3x

from both sides of the equation

5

=

3

+

6

5x=3x+6

5

−

3

=

3

+

6

−

3

5x{\color{#c92786}{-3x}}=3x+6{\color{#c92786}{-3x}}

4

Simplify

Combine like terms

Combine like terms

2

=

6

2x=6

5

Divide both sides of the equation by the same term

2

=

6

2x=6

2

2

=

6

2

\frac{2x}{{\color{#c92786}{2}}}=\frac{6}{{\color{#c92786}{2}}}

6

Simplify

Cancel terms that are in both the numerator and denominator

Solution

=

3

Answer:

[tex]\sqrt[9]{10}[/tex]

Step-by-step explanation:

When you're multiplying radicals you start by multiplying inside the radical. Break it down so it's easier for you:

1.  [tex]\sqrt{15}*\sqrt{6} = \sqrt{90}[/tex] beacause 15 * 6 = 90

2. The next step is to simplify that radical. You simplify by finding factors of that number. The factors of 90 are:

You want to take the biggest factors of that number (yours is 9 * 10). After that you are going to break it down more. What are the factors of 9 and what are the factors of 10? Well the biggest factors of 9 are 3 * 3 and the biggest factors of 10 are 5 * 2, so 10 cannot be broken down anymore because it doesn't have two of the same numbers so 10 is going to stay the same, but 9 has two of the same number (3). What we're left with is [tex]\sqrt[3]{10}[/tex] because the same numbers stay out of the radical and the single number stays inside.

3. We can't forget about the 3 that we left out, so what we're going to do is write [tex]3 *\sqrt[3]{10}[/tex]. When you multiply that out you keep the outside with the outisde which results in the answer being [tex]\sqrt[9]{10}[/tex] because this cannot be simplified anymore.

Speed is the ratio of distance travelled to time taken. It is given by:

Speed = distance / time

Let a represent the speed of the motor boat in still water and t represent the time. Hence for downstream:

a + 5 = 80/t

t = 80/(a + 5)

For upstream:

a - 5 = 60/t

a - 5 = 60 / (80/(a + 5))

a - 5 = 0.75a + 3.75

0.25a = 8.75

a = 35 miles per hour

The speed of the motor-boat in still water is 35 miles per hour.

Find out more on speed at: https://brainly.com/question/751218

X/12 = -8

Solve for x by multiplying both sides by 12

X = -96

Answer:

X=12*-8-----> X= -96. multiply 12 by -8

Answer:

Yes, it is c

Step-by-step explanation:

Because there are 5 seashells in p packages, you can do 5p to represent the total. There are 6 fewer sea shells, so it would be 5p-6 to represent the new situation.

Based on the information given, the equation to represent the situation is 5p - 6.

The information given is that there are six fewer seashells than the total number of seashells in p packages, each of which has five seashells.

Therefore, the equation will be:

= (5 × p) - 6

= 5p - 6.

Learn more about equations on:

https://brainly.com/question/2972832

Step-by-step explanation:

sorry I don't now but when I now I will tell you ok but mybe it 12×12×12

Answer:

65.214

Step-by-step explanation:

0x100=0

6x10=60

5x1=5

2x(1/10)=0.2

1x(1/100)=0.01

4x(1/1000)=0.004

add all of these values up. hope this helps!

Answer:

trinomial

Step-by-step explanation:

a monomial has 1 term

a binomial has 2 terms

A trinomial has 3 terms

a² + a - 6 ← has 3 terms so is a trinomial and also a polynomial

Answer:

The inverse of subtracting 24 is adding 24.

Step-by-step explanation:

The inverse of subtraction is addition.

Answer:

<

Step-by-step explanation:

Answer:

y = 7

Step-1: Subtract 8 both sides

⇒ [tex]36 = 4y + 8[/tex]

⇒ [tex]36 - 8 = 4y + 8 - 8[/tex]

⇒ [tex]28 = 4y[/tex]

Step-2: Divide 4 both sides

⇒ [tex]28 = 4y[/tex]

⇒ [tex]\frac{28}{4} = \frac{4y}{4}[/tex]

⇒ [tex]7 = y[/tex]

Answer:

7%

Step-by-step explanation:

The additional tax is $0.42, we just have to find how much percent the tax ($0.42) is of the original cost ($6.00).

To do this, we can use the following formula:

[tex]\frac{x}{y} = \frac{p}{100}[/tex]

Where x is the part (in this case, the tax ($0.42)), y is the whole (in this case, the original cost ($6.00)), and p being the percent (the tax rate in this case). We can replace the values in:

[tex]\frac{0.42}{6} = \frac{p}{y}[/tex]

We can cross multiply and simplify to find the tax rate:

[tex]0.42y=600\\ y=\frac{600}{0.42} \\ y=0.07[/tex]

We're not done yet! We still need to turn it to percent. But we can do this by just multiplying our result by 100:

[tex]0.07 * 100=7[/tex]

Place the percent sign and we are done.

Hope this helps.

The sub duplicate ratio of 16:9 is

4: 3

The sub-duplicate ratio is found by finding the square root of both the numerator and denominator

The given ratio is 16:9

Find the square root of 16

[tex] \sqrt{16} = 4[/tex]

Find the square root of 9

[tex] \sqrt{9} = 3[/tex]

Combining the two square roots that were found, the sub duplicate is:

[tex] \frac{4}{3} [/tex]

Therefore, the sub duplicate ratio of 16:9 is

4: 3

Learn more on sub duplicate of ratios here: https://brainly.com/question/25881746

Answer:

each student gets 2 bars and a quarter of one (2.25 or 2 1/4)

Step-by-step explanation:

Answer:

[tex]1/32[/tex]

Step-by-step explanation:

To understand this question you would first of all need to know about negative exponents and multiply fraction by integers.

Example I would like to find out [tex]2^{-2}[/tex],

You would first normally solve this question by squaring, which would result in 4 then divide it by 1. Like this: [tex]1/2^{2}[/tex]

Which would be 0.25 or 1/4

Lets apply this knowledge to the following question:

1. [tex]2^{-3} / 2^{2}[/tex]

2. [tex]\frac{1}{8} / 4[/tex]

3. [tex]1/32[/tex]

Answer:

B. y=0.07x

Step-by-step explanation:

Hope this helps! Have a good day:)

Answer:

number 2

Step-by-step explanation:

Answer: If the dress orginially priced at 8080 dollars and put for 25 percent, that means that you have to move the decimal point to the left twice which will result as 0.25 and 10 percent tax ends up as 0.10. Multiply the two and the product, you have to add to the 8080!

Step-by-step explanation:

Answer:

Solution Given;

0.6%=0.6/100=0.006

So

0.006 is the percentage multipier for 0.6%.

Let's check

We need to convert it into decimals

0.006 is the answer

The first one & the second one

Answer:

Both first and second one are not true.

Step-by-step explanation:

The first one translates to "101 is less than 100". This statement is false.

Second one translates to " 101 is equal to 0". Obviously, this isn't true.

Hope this helps! Brainliest would be appreciated!!

[tex]\text{Given that,}\\\\y^2 +9y +3 \\\\\text{when}~ y = -2,\\\\(-2)^2 +9(-2) +3 = 4-18+3 = 7 -18 = -11,[/tex]