Work out the mean for the data set below: 806, 809

ill give you brainest

Answer:

AC = 4 units

Step-by-step explanation:

[tex] OB = OC = 3 (Radii \:of \:same \:circle) \\

OA = OB + AB = 3 + 2 = 5\\

OA \perp AC.. (tangent\: \perp radius) \\

\therefore m\angle OCA = 90\degree \\[/tex]

By Pythagorean theorem:

[tex] AC^2 = OA^2 - OC^2 \\

= 5^2 - 3^2 \\

= 25-9\\

= 16\\

AC =\pm \sqrt{16}\\

AC = \pm 4[/tex]

Since, side of a triangle can't be negative.

Therefore, AC = 4 units

Answer:

you go to th harris right cause u literally have the same summer schools answers

Step-by-step explanation:

Answer:

[tex]t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333[/tex]    

Critical value

The significance is 5% so then [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] then the critical value for this case would be [tex] z_{\alpha/2}= 1.64[/tex]. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

[tex]p_v =P(z>3.333)=0.000434[/tex]  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

Step-by-step explanation:

Information given

[tex]\bar X=11.5[/tex] represent the sample mean

[tex]\sigma=4.5[/tex] represent the population standard deviation

[tex]n=100[/tex] sample size  

[tex]\mu_o =10[/tex] represent the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level for the hypothesis test.  

t would represent the statistic

[tex]p_v[/tex] represent the p value

Hypothesis to test

We want to test if the true mean is higher than 10mg, the system of hypothesis would be:  

Null hypothesis:[tex]\mu \leq 10[/tex]  

Alternative hypothesis:[tex]\mu > 10[/tex]  

the statistic for this case would be given by:

[tex]t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}[/tex]  (1)  

Replacing we got:

[tex]t=\frac{11.5-10}{\frac{4.5}{\sqrt{100}}}=3.333[/tex]    

Critical value

The significance is 5% so then [tex]\alpha=0.05[/tex] and [tex]\alpha/2=0.025[/tex] then the critical value for this case would be [tex] z_{\alpha/2}= 1.64[/tex]. Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis and we can conclude that the true mean is higher than 10 mg

P value

The p value would be given

[tex]p_v =P(z>3.333)=0.000434[/tex]  

Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true mean is significantly higher than 10 mg

Answer:

BC and AC are the answers

Answer:

24.5

Step-by-step explanation:

Year 2000 would be 1, so year 2016 would be 17

Your equation is 1.5x - 1, and since we have x = 17, we simply plug it in:

1.5(17) - 1

25.5 - 1

24.5 is our estimated population using the line of best fit.

Answer:

23

Step-by-step explanation:

Note that the horizontal axis notes the years since 2000. This means that each increase in the x axis increases the year by 1. Thus, it means that at x=1, it is 2001, at x=2, it is 2002. In other words, in 2016, x=16.

We can just put this number into the equation:

y=1.5(16)-1

y=24-1

y=23

Answer:

27

Step-by-step explanation:

If Fiona's age is x, Dan and Gavyn's ages respectively are x + 8 and x - 9. We can write:

x + x + 8 + x - 9 = 56

3x - 1 = 56

3x = 57

x = 19

The eldest is Dan (because x + 8 > x and x + 8 > x - 9). His age is x + 8 = 19 + 8 = 27.

Answer:

7,091.61

Step-by-step explanation:

If you have a number 1. (39393939) and you have another number 2. (5555) and you want the second number to get the same amount as the other numbers but evenly, you need to divided the first number with the second number.

Ex. 39393939/ 5555 = 7,091.61

So each bunny will get 7,091.61 carrots.

Answer:

62.8318531

10 x 2 = 20 so 20 is the diameter

20 x pi = 62.8318531

Hope this helps

Step-by-step explanation:

The exact circumference of a circle that has a radius of 10 cm is 62.8318531

The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.

The circumference of the circle = 2πr

Given that circle that has a radius of 10 cm

The circumference is given by

C = 2πr

  = 2π10

   = 20π

10 x 2 = 20

Therefore, 20 is the diameter

So, 20 x π = 62.8318531

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Answer:

Step-by-step explanation:

This is exponential, of the form

[tex]y=a(b)^x[/tex] where a is the initial amount and b is the growth/decay rate. If Ginny begins the study with 1200 frogs in the population, our a value is 1200.

If the population is decreasing 3% per year, it is decreasing 100% - 3% = 97% which, as a decimal, is .97. Our exponential function, then, is

[tex]y=1200(.97)^x[/tex]

Answer:

1/3

Step-by-step explanation:

There are 12 different sums.

4 of the sums are 9, 9, 10, 11.

All other sums are 8 or less.

p(9 or more) = 4/12 = 1/3

Answer: Option A

Step-by-step explanation:

Answer:

(-√2 + 3)/7

Step-by-step explanation:

To rationalize the denominator, we need to multiply by the conjugate:

1/(3 + √2)*(3 - √2)/(3 - √2)

(3 - √2)/(9 - √4)

(3 - √2)/(9 - 2)

(-√2 + 3)/7

Answer:

try to look in desmos graphic calculator

Step-by-step explanation:

Answer: 180,000,000 people

Step-by-step explanation:

We are looking for how many people there are, not the percentage of wealth.

60% of Americans are the poorest, and there are 300 million Americans in total.

60% = 0.6

300,000,000 * 0.6 = 180,000,000

Answer:

The Third Choice; answer C.

Step-by-step explanation:

180,000,000 Hope this helps <3

Answer:

(x - 2) and (x + 3) is a factor of: 2x² + 2x - 12

Step-by-step explanation:

2x² + 2x - 12 given equation

Now divide it by 2 we get,

x² + x - 6

then

x² + x - 6

x² + 3x - 2x - 6

x(x + 3) - 2(x + 3)

(x - 2) (x + 3)

Answer:

2 ( x+3)(x-2)

Step-by-step explanation:

2x^2+2x−12

Factor out 2

2 ( x^2 +x-6)

Factor inside the parentheses

What 2 numbers multiply to -6 and add to 1

3*-2 = -6

3+-2 =1

2 ( x+3)(x-2)

Answer:

Coordinates of point B are (3, 5) and (5, 3).

Step-by-step explanation:

Coordinates of point A → (1, 1)

Let the coordinates of point B are (x', y')

Formula for the distance between points (x, y) and (x', y') is,

d = [tex]\sqrt{(x-x')^+(y-y')^2}[/tex]

AB = [tex]\sqrt{(x-1)^+(y-1)^2}[/tex]

[tex]2\sqrt{5}=\sqrt{(x-1)^2+(y-1)^2}[/tex]

[tex](2\sqrt{5})^2=(x-1)^2+(y-1)^2[/tex]

20 = (x - 1)² + (y - 1)²

Since point A lies on the intersection of two grid lines in the 1st quadrant, x and y must be the positive whole number.

For x = 0,

20 = (0 - 1)² + (y - 1)²

(y - 1)² = 20 - 1

y = 1 + √19

But y can't be a decimal, therefore, x = 0 is not the answer.

For x = 1

20 = (1 - 1)² + (y - 1)²

20 - 1 = (y - 1)²

y = 1 + √19

Not a whole number, so can't be the solution.

For x = 2,

20 = (2 - 1)² + (y - 1)²

y = 1 + √19

Not a whole number, therefore, not the answer.

For x = 3,

20 = (3 - 1)² + (y - 1)²

20 - 4 = (y - 1)²

y = 1 + √16

y = 5

Therefore, (3, 5) are coordinates of the point B.

For x = 4,

20 = (4 - 1)² + (y - 1)²

20 = 9 + (y - 1)²

y = 1 + √11

For x = 5,

20 = (5 - 1)² + (y - 1)²

20 - 16 = (y - 1)²

4 = (y - 1)²

y = 3

Therefore, (5, 3) the coordinates of point B.

The coordinates of [tex]B, (x,y)=(3,5)\text{ or }(5,3)[/tex]

From the diagram, the coordinates of [tex]A[/tex] are [tex](1,1)[/tex]

the distance from [tex]A[/tex] to [tex]B[/tex] is [tex]2\sqrt{5}[/tex]

Since [tex]B(x, y)[/tex] also lies on the grid, [tex]x[/tex] and [tex]y[/tex] should be integers and should satisfy the distance relationship

[tex](x-1)^2+(y-1)^2=(2\sqrt{5})^2\implies (x-1)^2+(y-1)^2=20[/tex]

There is a way to get [tex]\sqrt{5}[/tex] from Pythagoras rule

[tex]1^2+2^2=(\sqrt{5})^2\\\\\implies2^2+4^2=(2\sqrt{5})^2[/tex]

Which means we can either say

[tex]x-1=2 \text{ and } y-1=4\\\implies x=3 \text{ and } y=5\\\\\text{OR}\\\\x-1=4 \text{ and } y-1=2\\\implies x=5 \text{ and } y=3[/tex]

Therefore B is either at location [tex](3,5)[/tex] or [tex](5,3)[/tex]

Learn more coordinate geometry here: https://brainly.com/question/15503404

Answer:

77

Step-by-step explanation:

The measure of an angle formed by two chords that intersect inside a circle is equal to half the sum of the measures of the intercepted arcs.

(The sum of the measures of the intercepted arcs)/2

(76+78)/2

154/2

77

The rule is n + 5

So we have that

an = n + 5

Where n is the term, that said we want the 1st, 2nd, 3rd, 4th and 10th term

a1 = 1 + 5 = 6

a2 = 2 + 5 = 7

a3 = 3 + 5 = 8

a4 = 4 + 5 = 9

a10 = 10 + 5 = 15

Answer:

Step-by-step explanation:

y=12x−2. parallel lines have the same slope 12

find b at point (3,-2)

y=12x+b

-2=12(3)+b

-2-36=b

b=-36

the equation has to be y=12x-38

when you input the point(3,-2)

-2=12(3)-38

-2=-2 correct

The equation of line is [tex]y=12x-38[/tex] which is parallel to given line [tex]y=12x-2[/tex]

Equation of parallel line given is, [tex]y=12x-2[/tex]

Compare above equation of line from [tex]y=mx+c[/tex]

Since, all parallel lines have same slope.

 Equation of line become,

                                             [tex]y=12x+c[/tex]

Since, line passing through point (3, -2).

               [tex]-2=12(3)+c\\\\c=-2-36=-38[/tex]

Hence, equation of line is [tex]y=12x-38[/tex] which is parallel to line [tex]y=12x-2[/tex]

Learn more:

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Answer: 15 weeks

Step-by-step explanation:

Because there are 7 days in a week, simply divide 105/7 to get 15 weeks.

Hope it helps <3

Hi there! Hopefully this helps!

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Answer: There are 15 weeks in 105 days.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Since there are 7 days in a week, we need to divide the time value by 7 .

Like this:

105 / 7 = 15.

Answer:

Volume of wheat = 147.26 m³ (check the explanation)

Step-by-step explanation:

The question still lacks some details such as the size of the silo. We will go forward by assuming the size of the silo to aid our calculation. Silos are cylindrical storage structures that range from 3 - 27 m in diameter and 10 - 90 m in height. For the purpose of this question, let's assume that the size of the silo is 5 m (diameter) by 15 m (height).

Let's list out the parameters to be used:

diameter (D) = 5 m; r = D ÷ 2 ⇒ r = 5/2 = 2.5 m,

height (h) = 15 m

Volume of silo = πr²h = π * 2.5² * 15

V (silo) = 294.52 m³

The silo is half full ⇒ ½ * V

Volume of wheat stored is given by half of the silo volume, since the silo is half-full

V (wheat) = ½ * 298.52

V (wheat) = 147.26 m³

Answer:

Here we want to find the relative frequencies for both products.

for product A we have a sample of 100 people (our 100%) and all but 33 of them experienced relief.

Then, we can find the relative frequency as:

Pa = (33/100)*100% = 33%

this means that product A is not efficient in 33% of the cases.

For product B, the sample is 50 people (our 100%) and all but 12 of them experienced relief, then the relative frequency is:

Pb = (12/50)*100% = 24%.

This means that product B is not efficient in 24% of the cases.

We can see that, in percentage, the product B seems to be more efficient.

Answer:

If you were doing... 25(13x-15 8)-13(12-23x), the answer would be...

624x-3156

If you were doing... 25(13x-158)-13(12-23x), the answer would be...

624x-4106.

Step-by-step explanation: Simplify the expression.

I hope this helps you out! ☺

The simplification of algebraic expression 25(13x - 158) - 13(12 - 23x) is 624x - 4106.

An algebraic expression is an expression built up from constant, variables, and algebraic operations : addition, subtraction, multiplication, division and exponentiation.

To simplify an algebraic expression, we can only add or subtract the like terms. Like terms are variables with same exponent.

Given in the question,

algebraic expression = 25(13x - 158) - 13(12 - 23x)

Simplifying the expression,

[tex]= 25(13x - 158) - 13(12 - 23x)\\\\= 325 x - 3950 - 156 + 299x\\\\=325x + 299x - 3950 - 156\\\\= 624x - 4106[/tex]

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Answer:

C

Step-by-step explanation:

Answer: C

Step-by-step explanation: yay :D

Answer:

c= 60

Step-by-step explanation:

The value of measure of angle C of a triangle ABC is 60°.

Here,

Given that, in a triangle value of two angles is,

m∠A = 60°+α,  m∠B = 60°−α

We have to find the angle C of a triangle ABC.

What is sum of angle in triangle?

In a triangle, The sum of angles of a triangle is 180°.

Now,

Given that, in a triangle value of two angles is,

m∠A = 60°+α,  m∠B = 60°−α

Let measure of angle C is x°.

⇒ Sum of all angle of triangle = 180°

⇒( 60°+α )+ ( 60°−α ) + x° = 180°

⇒ 120° + x° = 180°

⇒ x° = 180° - 120°

⇒ x° = 60°

Hence, The value of measure of angle C of a triangle ABC is 60°.

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the answer is A. 1,073 ft

Answer:

1st one 18

Step-by-step explanation:

you distribute the 1/3 then at 3 then multiply by 3

When I say multiply by 3 I mean 1/3=6 multiply both sides by 3

Answer:

Its A or 18

Step-by-step explanation:

thanks to the other guy

Answer:

15%

Step-by-step explanation:

Price of daily tickets entrance

Adult=£55

Children=£45

Family (2 adults and 2children)=£170(discount price)

Let

price for adults=a

Price for Children=c

Price of tickets without discount for 2 adults and 2 children=2(a+c)

=2(55+45)

=2(100)

=£200

Percentage discount offered with the family tickets=difference in price/original price×100

=£200-£170/200×100

=30/200×100

=30/2

=15%

The Percentage discount offered with the family tickets=15%

Answer:

It is - [tex]\frac{1}{4}[/tex] throughout the line

Step-by-step explanation:

The points O, A and B lie on the line and so the slope will be the same for OA, OB and AB

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = B(- 12, 3) and (x₂, y₂ ) = O(0, 0)

m = [tex]\frac{0-3}{0+12}[/tex] = [tex]\frac{-3}{12}[/tex] = - [tex]\frac{1}{4}[/tex]

Thus the slope is - [tex]\frac{1}{4}[/tex] throughout the line.

Answer:

The answer is 6.

Step-by-step explanation:

6 ÷ 3 = 2

2+4 = 6