The formula for centripetal acceleration, a, is given below, where v is the velocity of the object and r is the object's distance from the center of the circular path.

Answers

Answer 1

Answer:2/3-4

Step-by-step explanation:

Answer 2

Hi,

The correct answer is √ra = v or v = √ra.

The original equation is a = v^2/r.

Then we multiply r to get ra = v^2

After that we √ra = √v^2

Our final answer is then √ra = v

XD


Related Questions

[tex]5x-4+2(x-4)=16[/tex]

Answers

Answer:

[tex]\boxed{x = 4}[/tex]

Step-by-step explanation:

=> 5x-4+2(x-4) = 16

Expanding the brackets

=> 5x-4+2x-8 = 16

Combining like terms

=> 5x+2x-4-8 = 16

=> 7x - 12 = 16

Adding 12 to both sides

=> 7x = 16+12

=> 7x = 28

Dividing both sides by 7

=> x = 4

Answer:

x = 4

Step-by-step explanation:

5x - 4 + 2(x-4) = 16

Expand the equation by multiplying 2 to x and -4 separately:

5x - 4 + 2x - 8 = 16

Collect like terms:

5x + 2x - 4 - 8 = 16

7x -12 = 16

Add 12 to both sides:

7x = 16 + 12

7x = 28

Divide both sides by 7 :

x = 28/7

x = 4

Why 200/3 doesn’t work

Answers

Answer:

it does work

i think u mean why is it not whole

but it is not a whole number

Step-by-step explanation:

200/3=66.6(6 is repeating)

for example if u have 200 chocolates and u give them to 3 people

everyone will have 66

and u will have 2 left

2/3 is also 0.66(6 repeating)

66+0.66(6repeating)

=66.66(6repeating0

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

            -ZYLYNN JADE ARDENNE

Answer:

Step-by-step explanation:

it does not work as a whole number.

but it does work in simple division with fraction.

200 / 3 = 66 and [tex]\frac{2}{3}[/tex]



Anyone Willing To Hell Out?


Z=
37
39
51

Answers

the answer is 36.36 but the closest to it is 37

What is the solution, if any, to the inequality |3x|≥0?

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

Any value of x will make this inequality true, hence there are infinitely many solutions.  Another way to say this is True for all x on the interval [-infinite,+infinite]

The reason this is true, is because all values of an absolute value will be greater than or equal to 0.

Cheers.

That's weird !

X is ANY NUMBER !

-∞  ≤  X  ≤  ∞

Instructions
Chart of Accounts
Starting Question
Joumal
Instructions
Flush Mate Co. wholesales bathroom fixtures. During the current fiscal year, Flush Mate Co. received the following notes:
Date
Face Amount
Interest Rate
Term
1.
Mar. 6
$80,000
5%
45 days
2.
Apr. 23
24,000
9
60 days
3.
July 20
42,000
6
120 days
4
Sept. 6
54,000
7
90 days
5.
Nov. 29
27,000
6.
60 days
6
Dec. 30
72,000
5
30 days
Required:
1. Determine for each note (a) the due date and (b) the amount of interest due at maturity, identifying each note by number. Assume a 360-day

Answers

Answer:

Note Due Date Interest due at Maturity

1 Mar 6 $500

2 Apr 23 $360

3 July 20 $840

4 Sept 6 $945

5 Nov 29 $270

6 Dec 30 $300

Step-by-step explanation:

Calculation to Determine the due date and the amount of interest due at maturity for Flush Mate Co.

Using this formula to Calculate for the amount of interest due at maturity.

Interest due at Maturity= [Face amount * Numbers of days to maturity / 360 * Interest rate]

Note, Due Date,  Face Amount, No of days to maturity,  Interest rate, Interest due at Maturity

1 Mar 6 80,000× 45/360 ×5% =$500

2 Apr 23 24,000 × 60/360 ×9% =$360

3 July 20 42,000×120/360 ×6% =$840

4 Sept 6 54,000× 90/360 ×7% =$945

5 Nov 29 27,000× 60/360 ×6% =$270

6 Dec 30 72,000× 30/360 ×5% =$300

Therefore  the due date  and the amount of interest due at maturity for Flush Mate Co are:

Note Due Date Interest due at Maturity

1 Mar 6 $500

2 Apr 23 $360

3 July 20 $840

4 Sept 6 $945

5 Nov 29 $270

6 Dec 30 $300

Which of the following proves ABC DEF?



A.
SAS

B.
SSS

C.
SSA

D.
ASA

Answers

Answer:

SAS

Step-by-step explanation:

SAS

two side 1 angle

if not that try SSA

Answer:

SAS

Step-by-step explanation:

We have two  sides are equal and the angle between the two sides are equal so we can use the side angle side

21% of deaths among male adults can be attributed to heart diseases. Is this percentage different among residents in Sonoma County? State the Null and Alternative hypothses

Answers

Answer:

Step-by-step explanation:

The null hypothesis is usually the default statement while the alternative hypothesis is its opposite and usually tested against the null hypothesis.

In this case study, the null hypothesis is u = 21%/0.21, the percentage is not different among residents in Sonoma County and is equal to 0.21.

While the alternative hypothesis is u =/ 0.21, the percentage is different among residents in Sonoma County; not equal to 0.21

Find the general solution of the differential equation and check the result by differentiation. (Use C for the constant of integration.)
1. dy/dt = 35t^4
2. dy/dx = 5x^(5/7)

Answers

Answer:

1. Y= 7t^5 +C

2. Y= 35/12x^(12/7)+C

Step-by-step explanation:

The general solution will be determined by integrating the equations as the integration is a simple integration.

For dy/dt = 35t^4

The general solution y

= integral (35t^4)dt

The general solution y

=( 35/(4+1))*t^(4+1)

= 35/5t^5

= 7t^5 +C

To prove by differentiating the above.

Y= 7t^5 +C

Dy/Dt= (5*7)t^(5-1) +0

Dy/Dt= 35t^4

For dy/dx = 5x^(5/7)

Y=integral 5x^(5/7)Dx

Y= 5/(5/7 +1)*x^(5/7+1)

Y= 5/(12/7) *x^(12/7)

Y= 35/12x^(12/7)+C

To prove by differentiating

Y= 35/12x^(12/7)+C

Dy/Dx= (35/12)*(12/7) x^(12/7-1) +0

Dy/Dx=(35/7)x^(5/7)

Dy/Dx= 5x^(5/7)

Determine the measure of the unknown variables

Answers

Answer:

27°

Step-by-step explanation:

Let's create an equation:

[tex]5y = 135[/tex]

( Being vertically opposite angles)

Now, let's solve

Divide both sides of the equation by 5

[tex] \frac{5y}{5} = \frac{135}{5} [/tex]

Calculate

[tex] y = 27[/tex]

Hope this helps...

Best regards!!

A hemoglobin test measures 29 grams of hgb per 200 milimiters of blood. If the patient has 11 quarts of blood in her body, how many grams of Hgb are present

Answers

Answer:

[tex] 11 quarts *\frac{946.353 ml}{1 quarter}= 10409.883 ml[/tex]

And for this case we can create the following proportion rule:

[tex]\frac{29 gr}{200 ml} =\frac{x}{10409.883 ml}[/tex]

And solving for x we got:

[tex] x= 10409.883 ml *\frac{29 gr}{200ml}= 1509.433 gr[/tex]

Step-by-step explanation:

For this problem we know that A hemoglobin test measures 29 grams of hgb per 200 milimiters of blood. and we want to know how many grams of Hgb are present in 11 quarts

First we need to convert the quarts to ml and we have:

[tex] 11 quarts *\frac{946.353 ml}{1 quarter}= 10409.883 ml[/tex]

And for this case we can create the following proportion rule:

[tex]\frac{29 gr}{200 ml} =\frac{x}{10409.883 ml}[/tex]

And solving for x we got:

[tex] x= 10409.883 ml *\frac{29 gr}{200ml}= 1509.433 gr[/tex]


What is the answer need answer now !!!

Answers

Step-by-step explanation:

RD=BL

RE=BU

ED=UL

Please mark brainliest!!!

Helen has 48 cubic inches of clay to make a solid
square right pyramid with a base edge measuring 6
inches.
Which is the slant height of the pyramid if Helen uses all
the clay?
O 3 inches
O4 inches
O 5 inches
O 6 inches
6 in
Save and Exit
Next
Submit
Mark this and return

Answers

Answer:

4 inches.

Step-by-step explanation:

The formula for the volume of a pyramid is v=1/3bh.

V is the volume of the shape

1/3 is just a rational number or fraction.

b is the area of the base shape of the 3d shape

h is the height of the shape (slant height).

The general formula for the volume of all shapes is V=Bh

V is the volume

B is the area of the base

h is the height of the prism.

In this case, we have a pyramid, so let's use the formula V=1/3Bh.

We know what the volume so 48=?

We can put 1/3 so 48=1/2 times ? times ?.

The base shape of this pyramid is a square, and it has an edge of 6 inches. We need to find the area of that square because it is the area of our base. the formula for finding the area of a square is A=S squared.

A is the area of the shape

S is the side length.

The reason why it is squared is because all sides of a square are equal to each other. Since the base edge is 6 inches, the other edges are 6 inches as well. There are 4 edges in a square.

A= 6 times 6.

A=36.

We have the area of the base, so we can put 48=1/3 times 36 times ?.

We are finding what the slant height is, so let's put the letter "h" to represent the slant height.

Now, 48=1/3 times 36 times h.

All we have to do is solve for h.

First we have to simplify one side of the equation.

To simplify, we have to do 1/3 times 36, or you can do 36 divided by 3. It is your choice. 36 divided by 3 is 12.

Now we have 12h=48.

Isolate h by dividing both sides by 12. 12h divided 12 is h. 48 divided by 12 is   4.

Therefore h=4 inches. The reason we divide both sides is because we have to do the inverse operation of the original equation. For instance 12h=48. To get to 48, you do 12 times h. We take the inverse (opposite) operation of multiplication (division). That will isolate for h.

The slant height of this square pyramid is 4 inches.

Hope this helps. Have a good rest of your day!

The slant height of the pyramid is 4 inches. Therefore, the option B is the correct answer.

What is the volume?

Volume is the measure of the capacity that an object holds.

Formula to find the volume of the object is Volume = Area of a base × Height.

Given that, volume of square right pyramid = 48 cubic inches and base edge measuring 6 inches.

We know that, the volume of square based pyramid =a²h/3.

Here, a=6 inches and h=slant height

Now, 48= (6²×h)/3

48=36h/3

48=12h

h=4 inches

Therefore, the option B is the correct answer.

To learn more about the volume visit:

https://brainly.com/question/13338592.

#SPJ7

Determine whether each of the following functions is even, odd, or neither even nor odd.
(a) f(x) = 1 + 3x 2 − x 4
(b) ????(????) = ???? ???? ????+�

Answers

Answer:

A.) Even.

Step-by-step explanation:

If a function is an even function, then

F(-x) = f(x)

Also, if a function is an odd function, then, f(-x) = -f(x)

You are given the below function

f(x) = 1 + 3x^2 − x^4

Let x = 2

Substitute 2 for x in the function

F(x) = 1 + 3(2)^2 - (2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Also, Substitute -2 for x in the function

F(x) = 1 + 3(-2)^2 - (-2)^4

F(x) = 1 + 3(4) - 16

F(x) = 1 + 12 - 16

F(x) = -3

Since f(-x) = f(x), we can conclude that

F(x) = 1 + 3x^2 - x^4 is even

The equation that represents the canned goods order is 24x + 64y = 384, where x = number of minutes for producing fruit cans and y = number of minutes for producing vegetable cans.

What is the meaning of the y-intercept?

Answers

Answer:

  The y-intercept is the number of minutes for producing vegetable cans when no minutes are used for fruit cans

Step-by-step explanation:

The problem statement tells you y is the number of minutes for producing vegetable cans. The y-intercept is the y-value when x = 0.

The y-intercept is the number of minutes for producing vegetable cans when no minutes are used for fruit cans.

Answer:

The y-intercept, at the point (0, 6), designates the choice to compose vegetables for 6 minutes. In 6 minutes, making 64 cans of vegetables per minute, 384 cans for the order decree performed. The 0 for the x-value designs that no time spent producing cans of fruit.

Step-by-step explanation:

I got it right on edgenuity

jake buys a new car for $18,259. each year x after he buys the car, its value y depreciates by $445. which equation models the relationship between x and y?
A. y=445x + 18,259
B. y= -445x + 18,259
C. y= 445x - 18,259
D. y= -445x - 18,259

Answers

Answer:

B

Step-by-step explanation:

It can't be A because of the fact that by multiplying 445 by "x" you'll get a higher, postitive number. Meaning that if adding that positive number, you'll get something higher than 18,259. Which isn't our goal. In addition, the key word is "depreciates" which is another word for subtracting. However, that only applies in some circumstances. It can't be D either since you're basically adding a negative number by another negative number. However, "18,259" has to be a positive in this problem. By that you can also eliminate C as well. Meaning that B would be the correct answer.

How do I do this? I need the correct option

Answers

option A is correct answer.

because angle JKL is half of of arc JL .

so, angle JK is equal to 64°.

hope it helps...

64

Inscribed angle = .5 arc
Inscribed angle is 32

32=.5arc
64= arc


You deposit $4000 in an account earning 4% interest compounded monthly. How much will you have in the account in 5
years?

Answers

Answer:

$4,866.61

Step-by-step explanation:

Using the formular, A = P(1 + R/100)^n

Where, A = Amount; P = Principal; n = Time(year) and R = Rate

Hence, A = $4000(1 + 4/100)^5 = $4,866.61

Amount = Principal + Compound Interest

∴ Compund Interest = Amount - Principal = $(4,866.61 - 4,000) = $866.61

find the area of the triangle shown

Answers

Answer

B. 27

firist divide 9÷2=4.5

the formula

=1/2×4.5×6

=13.5

cause there are 2 triangles. let's multiply 13.5 with 2

13.5×2= 27²

The mean breaking strength of yarn used in manufacturing drapery material is required to be at least 100 psi. Past experience has indicated that the standard deviation of breaking strength is 2.6 psi. A random sample of 9 specimens is tested, and the average breaking strength is found to be 100.6 psi. Test the hypothesis that the mean breaking strength is larger than 100 psi by setting up the null and alternative hypotheses. Use alpha = .05.
a) What is the numerical value of your test statistic, z0?
b) What is the p-value resulting from the test of Part A? Answer to three decimal places.
c) What is the probability of Type II error for the hypothesis test of Part A if the true population mean is 101.3 psi? Answer to three decimal places

Answers

Answer:

Step-by-step explanation:

Given that:

Mean μ= 100

standard deviation σ = 2.6

sample size n = 9

sample mean X = 100.6

The null hypothesis and the alternative hypothesis can be computed as follows:

[tex]H_o : \mu \leq 100[/tex]

[tex]H_1 :\mu > 100[/tex]

The numerical value for the test statistics is :

[tex]z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \dfrac{100.6- 100}{\dfrac{2.6}{\sqrt{9}}}[/tex]

[tex]z = \dfrac{0.6}{0.8667}[/tex]

z = 0.6923

At  ∝ = 0.05

[tex]t_{\alpha/2 } = 0.025[/tex]

The critical value for the z score = 0.2443

From the z table, area under the curve, the corresponding value which is less than the significant level of 0.05 is 1.64

P- value =  0.244

c> If the true population mean is 101.3 ;

Then:

[tex]z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \dfrac{101.3- 100.6}{\dfrac{2.6}{\sqrt{9}}}[/tex]

[tex]z = \dfrac{0.7}{0.8667}[/tex]

z = 0.808

From the normal z tables

P value  =  0.2096

A sample of 55 chewable vitamin tablets have a sample mean of 249 milligrams of vitamin C. Nutritionists want to perform a hypothesis test to determine how strong the evidence is that the mean mass of vitamin C per tablet differs from 248 milligrams. State the appropriate null and alternate hypotheses.

Answers

Answer:

Step-by-step explanation:

The null hypothesis is mostly of the time the default hypothesis while the alternative hypothesis is the opposite of the null hypothesis and always tested against the null.

In this case study, the null hypothesis is: mean mass of vitamin c tab = to 248 milligrams

The alternative hypothesis is: mean mass of vitamin c tab =/ 248 milligrams

Please show step by step of working out the value of r for which is A minimum and calculate the minimum surface area of the container.
The total surface area, Acm^2, of each container is modelled by function A= πr^2+100/r.

(remember to use the derivative to show you have found the minimum)​

Answers

Answer:

A = 59.63cm^2

Step-by-step explanation:

You have the following function for the surface area of the container:

[tex]A=\pi r^2+\frac{100}{r}[/tex]                (1)

where r is the radius of the cross sectional area of the container.

In order to find the minimum surface are you first calculate the derivative of A respect to r, to find the value of r that makes the surface area a minimum.

[tex]\frac{dA}{dr}=\frac{d}{dr}[\pi r^2+\frac{100}{r}]\\\\\frac{dA}{dr}=2\pi r-\frac{100}{r^2}[/tex]         (2)

Next, you equal the expression (2) to zero and solve for r:

[tex]2\pi r-\frac{100}{r^2}=0\\\\2\pi r=\frac{100}{r^2}\\\\r^3=\frac{50}{\pi}\\\\r=(\frac{50}{\pi})^{1/3}[/tex]

Finally, you replace the previous result in the equation (1):

[tex]A=\pi (\frac{50}{\pi})^{2/3}+\frac{100}{(\frac{50}{\pi})^{1/3}}}[/tex]

[tex]A=59.63[/tex]

The minimum total surface area is 59.63cm^2

Which of the following graphs is described by the function below ?

Answers

Answer:

The point of interception of the graph and x axis are -2.366 and -0.634.

The only graph that satisfy this conditions is Graph A

Step-by-step explanation:

Given the equation;

[tex]y = 2x^2 + 6x + 3\\[/tex]

at y = 0

[tex]2x^2 + 6x + 3=0\\[/tex]

the roots of the quadratic equation (at y =0) can be calculated using the quadratic formula;

[tex]x = \frac{-b\pm \sqrt{b^2 -4ac}}{2a}[/tex]

Using the quadratic equation to solve for the roots;

[tex]x = \frac{-6\pm \sqrt{6^2 -4*2*3}}{2*2}\\x = \frac{-6\pm \sqrt{36 - 24}}{4}\\x = \frac{-6\pm \sqrt{12}}{4}\\so, we have \\x = -2.366\\or\\x = -0.634\\[/tex]

Therefore, the point of interception of the graph and x axis are -2.366 and -0.634.

The only graph that satisfy this conditions is Graph A

Listed below are the measured radiation absorption rates​ (in W/kg) corresponding to 11 cell phones. Use the given data to construct a boxplot and identify the​ 5-number summary.
1.26 0.98 1.07 0.97 1.28 0.89 1.14 0.58 1.42 0.59 0.96

Answers

Answer:

Five-number summary in ascending order: [tex] 0.58, 0.89, 0.98, 1.26, 1.42 [/tex]

Step-by-step Explanation:

The number summary, in ascending order, includes the minimum value, maximum value, median value, upper quartile and lower quartile.

To find each of the above values, first, order the data set in ascending order. Our values given, when ordered, would be:

0.58, 0.59, 0.89, 0.96, 0.97,| 0.98|, 1.07, 1.14, 1.26, 1.28, 1.42

1.The minimum value (the least value or lower value in the given data set).

From the ordered data set, minimum value = 0.58

2. The maximum value is the highest value in the data set = 1.42

3. Median value is the middle value of the data set. The middle value is the 6th value = 0.98.

The median value divides the data set into lower and upper region, as shown below.

0.58, 0.59, 0.89, 0.96, 0.97,|0.98|, 1.07, 1.14, 1.26, 1.28, 1.42

4. Lower Quartile (Q2) is the middle value of the lower region = 0.89, as shown below,

0.58, 0.59, [0.89], 0.96, 0.97,|0.98|, 1.07, 1.14, 1.26, 1.28, 1.42

5. Upper Quartile (Q3) is the middle value of the upper region = 1.26, as shown below.

0.58, 0.59, 0.89, 0.96, 0.97,|0.98|, 1.07, 1.14, [1.26], 1.28, 1.42

: this is the middle value of lower region, after our median divides the data set into two.

0.58, 0.59, 0.89, 0.96, 0.97,|0.98|, 1.07, 1.14, 1.26, 1.28, 1.42

Therefore, the five-number summary in ascending order is as follows: [tex] 0.58, 0.89, 0.98, 1.26, 1.42 [/tex]

Min = 0.58

Q1 = 0.89

Median = 0.98

Q3 = 1.26

Max = 1.42

A box plot has been constructed using the five-number summary. Check the attachment below.

The min value is represented by the whisker that starts from your left and connects to the rectangular box.

The max value is indicated at the extreme end of the other whisker that you have from the end of the rectangular box to your far right.

The median value is indicated by the vertical line that divides the rectangular box into 2.

The lower quartile is indicated at the beginning of the rectangular box, while the upper quartile is located at the end of the rectangular box.

David is making rice for his guests based on a recipe that requires rice, water, and a special blend of spice, where the rice-to-spice ratio is 15:1. He currently has 40 grams of the spice blend, and he can go buy more if necessary. He wants to make 10 servings, where each serving has 75 grams of rice. Overall, David spends 4.50 dollars on rice.

Answers

Answer:

8 servings

Step-by-step explanation:

Given:Rice-to-spice ratio = 15:1Amount of spice = 40 gramsRice required for one serving =  75 gramsTo find:Number of servingsSolution:

Spice required for one serving, using the rice-to-spice ratio to calculate:

75 grams/15 = 5 grams

David can make servings according to amount of spice he has:

40 grams / 5 grams = 8

Answer: David will be able to make 8 servings

Answer: 8

Step-by-step explanation:

The dot plots show the number of hours a group of fifth graders and seventh graders spent playing outdoors over a one-
week period.
Time Spent Playing Outdoors
for Fifth Graders and Seventh Graders
.
5th Grade
0
ta
1 2 3 4 5
Hours
7
8
9 10
7th Grade
.

Answers

Answer: B

Step-by-step explanation:

Answer:B

Step-by-step explanation: I took the edge quiz and it was right.

4. (a) Two years ago a woman was 7 times as old as her daughter, but in 3 years time
she would be only 4
times as old as the girl. How old are they now?

Answers

Answer:

woman is 37, girl is 7

Step-by-step explanation:

7(x-2) = y-2

4(x+3) = y+3

7x - 14 = y - 2

7x - 12 = y

4x + 9 = y

3x - 21 = 0

x = 7

y = 37

In the triangle below, what is the length of the hypotenuse?



A. \|3


B. 3\|3


C. 6


D. 3\|2

Answers

Answer:

C

Step-by-step explanation:

So you can use the 30, 60, 90 degree triangle ratio of x: 2x: x√3

The 3 is the x, and the hypotenuse is the 2x, so it's 6

Answer:

C. 6

Step-by-step explanation:

I just finished the test and I got 100 percent

Find the surface area of the attached figure and round your answer to the nearest tenth, if necessary.

Answers

Answer:

[tex] S.A = 246.6 in^2 [/tex]

Step-by-step explanation:

The figure given above is a square pyramid, having a square base and 4 triangular faces on the sides that are of the same dimensions.

Surface area of the square pyramid is given as: [tex] B.A + \frac{1}{2}*P*L [/tex]

Where,

B.A = Base Area of the pyramid = 9*9 = 81 in²

P = perimeter of the base = 4(9) = 36 in

L = slant height of pyramid = 9.2 in

Plug in the values into the given formula to find the surface area

[tex] S.A = 81 + \frac{1}{2}*36*9.2 [/tex]

[tex] = 81 + 18*9.2 [/tex]

[tex] = 81 + 165.6 [/tex]

[tex] S.A = 246.6 in^2 [/tex]

In a Gallup poll of 557 randomly selected adults, 284 said that they were underpaid. Construct a 95% confidence interval estimate for the proportion of adults who say they are underpaid.

Answers

Answer:

[tex]0.51 - 1.96 \sqrt{\frac{0.51(1-0.51)}{557}}=0.468[/tex]

[tex]0.51 + 1.96 \sqrt{\frac{0.56(1-0.56)}{1507}}=0.552[/tex]

And the 95% confidence interval would be given (0.468;0.552).

Step-by-step explanation:

The estimated proportion of people who say that were underpaid is given by:

[tex]\hat p=\frac{284}{557}=0.510[/tex]

The confidence interval would be given by this formula

[tex]\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]

For the 95% confidence interval the value of [tex]\alpha=1-0.95=0.05[/tex] and [tex]\alpha/2=0.025[/tex], with that value we can find the quantile required for the interval in the normal standard distribution.

[tex]z_{\alpha/2}=1.96[/tex]

And replacing into the confidence interval formula we got:

[tex]0.51 - 1.96 \sqrt{\frac{0.51(1-0.51)}{557}}=0.468[/tex]

[tex]0.51 + 1.96 \sqrt{\frac{0.56(1-0.56)}{1507}}=0.552[/tex]

And the 95% confidence interval would be given (0.468;0.552).

Find the Surface area of the attached image and round answer to the nearest tenth, if necessary.

Answers

Answer:

150 m²

Step-by-step explanation:

area of triangle is 1/2(6)(9.5) = 28.5

there are 4 triangles

28.5 x 4 = 114

bottom is 6 x 6 = 36

114 + 36 = 150 m²

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