What is the area of the triangle?

Answer:

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

Step-by-step explanation:

Sample mean:

Sum of all values divided by the number of values. So

[tex]M = \frac{1.01+0.97+1.03+1.04+0.99+0.98+0.99+1.01+1.03}{9} = 1[/tex]

Sample standard deviation:

Square root of the sum of the differences between each value and the mean, divided by the 1 less than the sample size. So

[tex]s = \sqrt{\frac{(1.01-1)^2+(0.97-1)^2+(1.03-1)^2+(1.04-1)^2+(0.99-1)^2+(0.98-1)^2+(0.99-1)^2+(1.01-1)^2+(1.03-1)^2}{8}} = 0.0657[/tex]

Confidence interval:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 9 - 1 = 8

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 8 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 3.355

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 3.355\frac{0.0657}{\sqrt{9}} = 0.07[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 1 - 0.07 = 0.93

The upper end of the interval is the sample mean added to M. So it is 1 + 0.07 = 1.07

The 99% confidence interval for the mean diameter of pieces from this machine is between 0.93 and 1.07.

Answer:

Speed of first plane is  350 miles per hour

Speed of second plane is 100 miles per hour

Step-by-step explanation:

Let the speed of the second plane be X

Then the speed of the first plane will be 3.5 X

Distance travelled by first plane is 9.5 *X

Distance travelled by second plane is 9.5 * 3.5 X

Difference of distance between the two plane is

[tex]9.5 * 3.5 X - 9.5 *X = 2375\\23.75 X = 2375\\X = 100[/tex]miles per hour

Speed of first plane is 3.5 *100 = 350 miles per hour

Speed of second plane is 100 miles per hour

Answer:

answer option number 4

Step-by-step explanation:

Answer:

p(2,-4) q(3,-1) r(4,-4)

Step-by-step explanation:  Reflecting across the y axis changes the x coordinates.

Answer: False

Step-by-step explanation:

Events can be classed as being dependent or independent depending on whether the outcome of a certain event affects the outcome of another. In the scenario above, the success rate of jumps in the Northeast direction is higher than in the southwest direction and even much than in other directions. With these uneven rate of success, the probability that a fox will have a successful jump will depend on the direction in which the fox is jumping. With an high expected success probability in the Northeast and southwest than in other directions

I think the answer to m is 8

Answer:

--

Step-by-step explanation:

so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.

a. (3/4)*7=(3*7)/4

b. 7*(3/4)=(7*3)/4

c. 3*(7/4)=(3*7)/4

when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.

Answer:

Step-by-step explanation:

so basically when we write all three of the expressions in one fraction we get the same answer for all three multiplications.a. (3/4)*7=(3*7)/4b. 7*(3/4)=(7*3)/4c. 3*(7/4)=(3*7)/4when we change the place of the values that are being multiplied the value of the multiplication does not change, that's why they will be have the same answer and when we multiply all the operations, we get the same value as the answer.

Answer:

The answer can be 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, or 3.9.

Step-by-step explanation:

All of those work

Answer:

D

Step-by-step explanation:

Has only one point on the x- axis.

Answer: C. 1,485 cubic feet

Step-by-step explanation:

Ur welcome :)

Answer:

I am assuming the storage shed is shaped like a rectanglular prism.

v=lwh

v=9*15*11

v=1485 cubic feet

Answer is C.

Answer:

Part A: 4x = -5(x-18)

Part B: A and B both = 40 degrees

Step-by-step explanation:

Ok, corresponding angles are in the same position on the two parallel lines cut by the transversal. And they are equal in measure. So, upper right = upper right.

So A = B

4x = -5(x -18)

4x = -5x + 90

9x = 90

x = 10

Angle A = 4x = 40 degrees, which means angle B is also 40, but let's show the work:

Angle B = -5(x - 18) = -50 + 90 = 40

Answer:

-3

Step-by-step explanation:

Answer:

radius = 3 feet

Step-by-step explanation:

V = 1/3πr²h

15π = 1/3πr²·5

you can divide each side by 5π to get:

3 = r²/3

r² = 9

r = [tex]\sqrt{9}[/tex] which is 3

Answer:

3

Step-by-step explanation:

((r^2)h[tex]\pi[/tex] )/3=volume of a cone

[tex]15\pi =((r^2)h\pi )/3[/tex]

they say that the height is 5 so insert 5 for h

[tex]15\pi =\frac{r^2(5)\pi } {3}[/tex]

solve for r

multiply both sides by 3

[tex]45\pi =r^25\pi[/tex]

divide both sides by 5

[tex]9\pi =r^2\pi[/tex]

[tex]r=3[/tex]

Hope that helps :)

Step-by-step explanation:

f=1/g

4=1/-6

=-24

find f

f=1/-6

1: yes

2:C

3:D

Step-by-step explanation:

a number is missing in no.3

the ans in 3 is -1,0,5,1,5,6

Answer:

b = 5.7

A = 51.1°

B = 38.9°

Step-by-step explanation:

a = 7

c = 9

✔️Find b using Pythagorean theorem:

b = √(9² - 7²) ≈ 5.7

✔️Find A using trigonometric function:

Reference angle = A

Opposite = a = 7

Hypotenuse = c = 9

Apply SOH:

[tex] sin(A) = \frac{Opp}{Hyp} [/tex]

[tex] sin(A) = \frac{7}{9} [/tex]

[tex] A = sin^{-1}(\frac{7}{9}) [/tex]

A = 51.0575587° = 51.1°

✔️B = 180 - (90 + 51.1) (sum of triangles)

B = 38.9°

Answer:

50,000 square inches

Step-by-step explanation:

1:5 ratio so 250,000/5=50,000

Answer:

Remember that the Pythagorean's theorem says that:

For a triangle rectangle with hypotenuse H and catheti A and B:

H^2 = A^2 + B^2

Here we also need to remember that the area of a square of side length L is:

area = L^2

Now let's solve this.

First, we start with two squares, one of side length a and the other of side length b.

Such that the complete area in the first image is:

area = a^2 + b^2

Now we draw two triangle rectangles with catheti a and b, and with hypotenuse c.

in step 3, we rotate those triangles in order to make a larger square, with side length c, with an area equal to:

area = c^2

Notice that we never added more shapes, so the area of the image did not change in all this process, then the initial area must be equal to the final area:

a^2 + b^2 = area = c^2

a^2 + b^2 = c^2

And remember that a and b are the catheti of the triangles, and c is the hypotenuse, then this is the Pythagorean's theorem.

Step-by-step explanation:

The original function is f(m) = 5(1.07)^m, with the m as an exponent

part A) if the final length is 9.19, we can set f(m) = 9.19 and solve for m

plugging it into a calculator, I get m = ~8.99, so a bit less than 9. therefore, a reasonable domain might be all the m values 9 or below, or m ≤ 9

part B) the y-intercept of a function is the value of the independent variable when the dependent variable = 0. the two variables in your problem are height and number of months - which one do you think is the independent one, and which one is dependent? then re-interpret "value of the independent variable when the dependent variable = 0" in terms of the actual quantities that the variables represent

part C) average rate of change from m = 1 to m = 9

f(9)−f(1)9−1

evaluate, and think about what that represents in terms of height and number of months

Answer:

thrid one looks right

Step-by-step explanation:

Answer:

The 4th cone

Step-by-step explanation:

Hello, the answer to your question is the 4th cone; the cone with its bottom half facing skyward.  If you are familiar with plane symmetry, this question is fairly simple.  Since the topmost cone has its bottom half facing downward, it would only be logical to choose the cone that forms mirror halves (superimpose) when paired.  

Hope this helps.

Just in case my explanation was too confusing, I'll attach the image of the answer here.  

Feel free to give me brainliest.

Answer: 70 m

Step-by-step explanation: 4 inch 4·17.5 m = 70 m

Answer:

Answer and steps are in picture.

Answer:

Population after 16 year = 927 people (Approx.)

Step-by-step explanation:

Given:

Decrease rate = 10% per year

Current population = 5,000

Find:

Population after 16 year

Computation:

A = P[1-r]ⁿ

A = 5,000[1-0.1]¹⁶

A = 5,000[0.9]¹⁶

A = 5,000[0.1853]

A = 926.51

Population after 16 year = 927 people (Approx.)

Answer:

My name is lil uzi vert

Step-by-step explanation:

maybach maybach

Answer:

im pretty sure what u have ther is right

Answer:

12.8

Step-by-step explanation:

imagine a right triangle in the middle,

base: 16 ÷ 2 = 8 cm, height: 10 cm, side: s

10² + 8² = s²

=> s = √(10² + 8²)

=> s = √(100 + 64)

=> s = √164

=> s ≈ 12.8

Answer:

Vertical/ x = 25.

Step-by-step explanation:

Vertical angles are self-explanatory; vertical angles are angles that are vertical from each other.

Vertical angles are also congruent (equal), meaning that both angles equal 75°.

4x - 25 = 75.

To solve this expression, we must first add 25 to 75. This is because there is a subtraction sign in front of 25, so we must do the opposite.

25 + 75 = 100

Lastly, divide 100 from 4.

4x = 100

100 / 4 = 25

x = 25

Answer:

We can use ratios for solve this problem

Cross multiply to get:

Lastly, divide both sides by 2 to isolate x

The line will be 1.25 inches

Hope this helps!

P.s. can I get Brainliest?