answer to all these in order please !

Answer:

Total student= 600

Step-by-step explanation:

Let x be the number of students

\(x \times \frac{80}{100} = 480 \\ = 480 \times \frac{10}{8} \\ x = 600\)

Brainliest please~

Answer:600

Step-by-step explanation:

by taking total number of pupils x

80/100×x=480

48000/80=600

x=600

The test statistic equals 2.55 and the p-value is 0.0054. If the test is done at a 0.01 level of significance, the null hypothesis should be rejected because the p-value (0.0054) is less than the significance level (0.01). This indicates strong evidence against the null hypothesis.

B. To calculate the test statistic, we first find the standard error of the mean (SEM), which is equal to σ/√n. Plugging in the given values, we get SEM = 2. Therefore, the test statistic can be calculated using the formula:

t = (x-bar - μ) / SEM = (24.6 - 20) / 2 = 2.3.

Since we have a one-tailed test (Ha: μ > 20), we need to find the p-value for the upper tail. Using a t-distribution table or calculator, with 35 degrees of freedom, we find the p-value to be 0.011.

Comparing the p-value to the significance level, we see that 0.0054 < 0.01, indicating strong evidence against the null hypothesis.

Therefore, we reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the population mean is greater than 20.

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A function in terms of t that represents the situation of sales that is of $10,000 and increase by 65% each year is t = 10,000(1.65)ⁿ.

An element of one non-empty set and an element of another non-empty set are said to have a special relationship when they are connected by a function in mathematics.

An assignment of an element from set Y to each element of set X, where set X is the domain and set Y is the codomain, is what is meant when a function is applied from a set X to a set Y.

We have given that f(t) is given by the Sales of $10,000 increase by 65% each year, i.e.

As sales of $10,000 increase by 65% each year.

The situation is represented by an exponential growth function.

The initial amount \(a = 10,000\)

The rate of growth \(r = 65\% = 0.65\)

Therefore, the function will be:

                                                  \(t = a(1 + r)^n\)                                                  

Where,

t represents the final amount.

a represents the initial amount

r represents the rate of growth

1+r represents the growth factor

n represents the time.

\(\rightarrow t = a(1 + r)^n\)

\(\rightarrow t = 10,000(1 + 0.65)^n\)    

\(\rightarrow t = 10,000(1.65)^n\)    

Thus, a function in terms of t that represents the situation of sales that is of $10,000 and increase by 65% each year is t = 10,000(1.65)ⁿ.    

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Answer:

Interior-140° Exterior-40°

Step-by-step explanation:

The sum of the interior angles of a polygon are given by 180(n-2) where n is the number of sides.

Therefore, the sum of all interior angles in a nonagon is 180(9-2) or 180×7. This equals to 1260°.

To get the individual interior angle, you use \(\frac{s}{n}\), with n defined above and s being the sum of interior angles.

Therefore, each angle is \(\frac{1260}{9}\)°, which can be solved to 140°.

The value of an individual exterior angle is given by 180-i, with i being the individual interior angle (this is because the 2 angles form a straight line).

In this case, 180-140=40°.

Each interior angle of a nonagon is 140°, and each exterior angle is 40°.

**This content involves angles of polygons, which you may want to revise. I'm always happy to help!

Answer:

48

Step-by-step explanation:

288 divided by 6 is 48 and how you get mph is todal miles in 1 hr

The speed of the driver for the entire journey is 48 miles per hour.

The given parameters;

Speed is defined as the ratio of total distance traveled by the total time of motion.

The speed of the driver for the entire journey is calculated as follows;

\(speed = \frac{distance}{time} \\\\speed = \frac{288 \ miles}{6 \ hours} \\\\speed = 48 \ miles \ per \ hour\)

Thus, the speed of the driver for the entire journey is 48 miles per hour.

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The value of x is obtained as 9.4 units.

Pythagoras theorem states that in a right angled triangle, the sum of the squares of the perpendicular and base is equal to the square of the hypotenuse. It can be written as h² = p² + b².

The value of x for the given figure can be calculated as,

Use pythagoras theorem for lower triangle as below,

p² + b² = h²

=> p² = h² - b²

=> p² = 12² - 6²

         = 108

Now, substitute the value of p² in the expression for upper triangle as,

x² + p² = 14²

=> x² + 108 = 196

=> x² = 88

=> x = 9.4

Hence, the value of x for the given figure is 9.4 units.

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The difference between the two localities is 1 speaker.

Let's solve the problems step by step:

a) To determine which of the two locations has a higher number of speakers of a language other than Spanish, we need to compare the ratios of speakers in El Cerrito and El Paseo.

In El Cerrito, 3 out of every 4 people speak a different language than Spanish. This can be written as a ratio: 3:4.

In El Paseo, 5 out of every 7 people speak a different language than Spanish. This can be written as a ratio: 5:7.

To compare the two ratios, we can find a common denominator. In this case, the least common multiple of 4 and 7 is 28.

In El Cerrito, the ratio becomes 21:28 (multiplying both sides by 7).

In El Paseo, the ratio becomes 20:28 (multiplying both sides by 4).

From the ratios, we can see that in El Cerrito, there are 21 out of 28 people who speak a different language than Spanish, while in El Paseo, there are 20 out of 28 people who speak a different language than Spanish.

Since 21 is greater than 20, El Cerrito has a higher number of speakers of a language other than Spanish.

b) The difference between the two localities can be calculated by subtracting the number of speakers in El Paseo from the number of speakers in El Cerrito.

In El Cerrito, there are 21 speakers of a different language than Spanish.

In El Paseo, there are 20 speakers of a different language than Spanish.

The difference is obtained by subtracting 20 from 21, resulting in a difference of 1 speaker.

Therefore, the difference between the two localities is 1 speaker.

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A histogram of the data distribution for the number of new plants is shown in the image below.

In this scenario and exercise, you are required to create a histogram to show the data distribution with respect to the number of new plants. First of all, we would determine the midpoint, absolute frequency, relative frequency, and cumulative frequency;

Midpoint                                      Absolute frequency      Rel. frequency

[0, 2] = (0 + 2)/2 = 1                        3 + 2 = 5                        0.128205

[2, 4] = (2 + 4)/2 = 3                        2 + 3 = 5                        0.128205

[4, 6] = (4 + 6)/2 = 5                        2 + 3 = 5                        0.128205

[6, 8] = (6 + 8)/2 = 7                                    2                        0.051282

[8, 10] = (8 + 10)/2 = 9                     3 + 4 = 7                        0.179487

[10, 12] = (10 + 12)/2 = 11                  4 + 3 = 7                        0.179487

[12, 14] = (12 + 14)/2 = 13                  1 + 2 = 3                        0.076923

[14, 16] = (14 + 16)/2 = 15                  3 + 2 = 5                        0.128205

Mathematically, the relative frequency of a data set can be calculated by using this formula:

Relative frequency = absolute frequency/total frequency × 100

Relative frequency = 5/39 × 100 = 0.128205

For the cumulative frequency, we have:

0.128205

0.128205 + 0.128205 = 0.25641

0.25641 + 0.128205 = 0.384615

0.384615 + 0.051282 = 0.435897

0.435897 + 0.179487 = 0.615385

0.615385 + 0.179487 = 0.794872

0.794872 + 0.076923 = 0.871795

0.871795 + 0.128205 = 1

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

solution,

BC=8.4 cm

AB=12 cm

BD=4.1 cm

We have to find out: AC ,CD

using Pythagoras theorem:

In ∆ABC ,<B=90°

\( {(ac)}^{2} = {(ab)}^{2} + {(bc)}^{2} \\ {(ac)}^{2} = {(12)}^{2} + {(8.4)}^{2} \\ {(ac)}^{2} = 144 + 70.56 \\ {(ac)}^{2} = 214.56 \\ ac = \sqrt{214.56} \\ ac = 14.64 \: cm\)

Similarly,

In ∆BCD, CB=90

\(cd = \sqrt{ {(8.4)}^{2} + {(4.1)}^{2} } \)

\( = \sqrt{70.56 + 16.81} \\ = \sqrt{87.37} \\ = 9.34 \: cm\)

Perimeter:

AC+CD+AD

=14.64+9.34+(12+4.1)

=40.08

= 40.1 cm

Hope this helps...

Good luck on your assignment..

Answer:

C, you got it :)

Step-by-step explanation:

it shifts it down one as long as it is outside the absolute value bars, if its inside like |x-1| it would shift it to the right 1

hope this helps

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The inequality   x÷7<-3

The solution      x<-21

Step-by-step explanation:

Solving-  x÷7<-3

                  x<-3x7

                  x<-21

Answer:

h=6cm

Step-by-step explanation:

V=lwh

126=3×7×h

h=6cm

Answer:

y< 4 - x/6

Step-by-step explanation:

1. x+6y<24

-x -x

2. 6y<24-x

/6 /6 /6

3. y<4-x/6

The equation is 3x+2y=80 when there are x large house and y small house in a street.

Given that,

There are x large house and y small house in a street. each large house has 3 cars parked outside of it and each small house has 2 car parked outside of it. The total number of cars parked outside all of the house in the street is 80.

We have to find the equation in x and y values.

We know that,

We have

x as large house

y as small house

Large house has 3 cars parked outside the house is 3x.

Small house has 2 cars parked outside the house is 2y.

The total number of cars parked in a street are 80.

3x+2y=80

Therefore, The equation is 3x+2y=80 when there are x large house and y small house in a street.

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Answer:

see the answer in the picture

Step-by-step explanation:

I don't know which equation you want. but I put both the standard and general form. but the equation should be the stander form. the radius is 13 in this case

We will see that this circle is centered at the point (-5, -49) and has a radius of 1.

For a circle of radius R centered at the point (a, b), the equation is:

(x - a)^2 + (y - b)^2 = R^2

In this case, we have:

given the equation of the circle is

x^2 + y^2 + 10x + 14y + 73 = 0

We can rewrite this as:

(x^2 + 10x) + (y^2 + 14y) + 73 = 0

(x^2 + 2*5*x + 25) + (y^2 + 2*7*y + 49) - 25 - 49 + 73 = 0

(x + 5)^2 + (y + 49)^2 -74 + 73 = 0

(x + 5)^2 + (y + 49)^2 = 1

So we have a circle centered at the point (-5, -49) with a radius equal to 1.

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complete question:

Determine the center and radius of the following circle equation

x^2 + y^2 + 10x + 14y + 73 = 0

Answer:

Step-by-step explanation:

This means that <C and <F are congruent.

So 2x - 15 = x + 15             Add 15 to both sides

2x-15+15=x+15+ 15

2x = x + 30                        Subtract x from both sides

2x-x=x-x+30

x = 30  

I've taken the bottom 2 angles to be equal. The lettering says they

are

Answer:

302

Step-by-step explanation:

7*13*2 + 3*7*2 + 3*13*2 = 302

Answer:

7.9 miles.

Step-by-step explanation:

i just took 5.6 and added it to 2.3 because he drives 2.3 miles to school and the mall is 5.6 miles from the plaza so he would have to drive the extra 2.3 miles to get there.

Answer:

$139.84

Step-by-step explanation:

if you do 18.75 × 3 it equals 56.25

add up 56.25 + 23.60 + 59.99 and it equals 139.84

Hope this helps!

Answer:

k

Step-by-step explanation:

Answer:

y= -3/-1

Step-by-step explanation:

hope it helps.

1) In a normal distribution, we know that there

Answer:

The middle  number in a data set is called the MEDIAN.

Step-by-step explanation:

Answer:

Always middle number..

Answer:

B

Step-by-step explanation:

Divide each coordinate by 2

3/2=1.5

2/2=1

Answer: 15

Step-by-step explanation: 8 times 3 equals 24 then you subtract 9 from 24 which gives you 15.

The function g(x) is defined as follows:

g(x) = 2x - 12.

The inverse function is obtained exchanging the variables x and y, and then isolating y, thus:

The fact that the variables are exchanged means that the functions are symmetric over the line y = x.

As the lines are symmetric over the line y = x, these following statements regarding the composition of a function with it's inverse is given as follows:

We have that f(2x - 12) = x, hence the function g(x) is defined as follows:

g(x) = 2x - 12.

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Step-by-step explanation:

wheres. the. quatation it doesnt say