Fiona grows large pumpkins and wants to estimate the mean weight of the approximately 500 pumpkins in her
harvest. She takes a random sample of 11 of these pumpkins and finds they have a mean weight of 44 kg and a
standard deviation of 6.7 kg. The weights in the sample were roughly symmetric with no outliers.

Answers

Answer 1

Answer:

44+-3.169(6.7/root11)

Step-by-step explanation:

Answer 2

The 99% confidence interval for the mean weight in kg of pumpkins grown by Fiona in the harvest for the provided sample is,

[tex]44\pm 3.169\times\dfrac{6.7}{\sqrt{11}}[/tex]

What is mean and standard deviation?

The mean of the data is the average value of the given data. The standard deviation of the data is the half of the difference of the highest value and mean of the data set.

Fiona grows large pumpkins and wants to estimate the mean weight of the approximately 500 pumpkins in her harvest.

She takes a random sample of 11 of these pumpkins. Here, the sample size is 11 which is less than 30. Thus, use the formula mentioned below.

[tex]\overline x\pm t\times\dfrac{\sigma}{\sqrt{n}}[/tex]

Here, (n) is the sample size, [tex]\overline x[/tex] is the mean of the sample.

Degree of freedom is,

[tex]DF=11-1=10[/tex]

For this, the value of t from the t table is 3.169 for 99% confidence interval.

The mean weight of 44 kg and a standard deviation of 6.7 kg they find. Put these values in the above formula,

[tex]\overline x\pm t\times\dfrac{\sigma}{\sqrt{n}}=44\pm 3.169\times\dfrac{6.7}{\sqrt{11}}[/tex]

Thus, the 99% confidence interval for the mean weight in kg of pumpkins in the harvest for the provided sample is,

[tex]44\pm 3.169\times\dfrac{6.7}{\sqrt{11}}[/tex]

Learn more about the mean here;

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Related Questions

Which angle is NOT coterminal with 5pi/4
radians?

Answers

Answer:

im in ur math class dawg lol

Step-by-step explanation:

Factorize x²+7x+10. Show working please

Answers

Answer:

(x + 2)(x + 5)

Step-by-step explanation:

Given

x² + 7x + 10

Consider the factors of the constant term (+ 10) which sum to give the coefficient of the x- term (+ 7)

The factors are + 2 and + 5 , since

5 × 2 = + 10 and 2 + 5 = + 7 , then

x² + 7x + 10 = (x + 2)(x + 5) ← in factored form

answer pelase answer please

Answers

Answer:

The y intercept of Function A is less than the y intercept of Function B.

Step-by-step explanation:

To find the y-intercept of the equation for A set x=0 and solve for y

Y=4(0)+1 therefore the y intercept for equation A is y=1

To find the y intercept for graph B you find the point where the graph intercepts the y axis which in this case it looks like it intercepts(crosses) the y axis at y=2

Therefore equation A y- intercept(y=1) < equation B y-intercept (y=2)

Hopefully this helps! If it did please mark brainliest! Feel free to ask me any other questions :)

helpppppp me pleasee

Answers

Answer:

the volume would be 84

Step-by-step explanation:

multipacation

(7^2*5^6)^4 equivalent expression

Answers

This is what you get when you simplify the problem.

Solve for x
-2(x+3) < 10

Answers

Answer:

x < -8

Step-by-step explanation:

-2(x+3) < 10

-2x -6 < 10

-2x < 10 + 6

-2x < 16

x < 16/-2

x < -8

the answer for the problem is x< -8

A first number is 4 less than a second number. Four times the first number is 6 more than twice the second. Find the numbers

Answers

Answer:

first number = 7

second number = 11

Step-by-step explanation:

A first number is 4 less than a second number

f = s - 4

Four times the first number is 6 more than twice the second

4f = 2s + 6

-----------------------------

Substitute for f = s - 4

4(s - 4) = 2s + 6

distribute

4s - 16 = 2s + 6

subtract 2s from both sides

2s - 16 = 6

add 16 to both sides

2s = 22

Divide both sides by 2

s = 11

Substitute for s = 11 in

f = s - 4

f = 11 - 4

f = 7

8) what is the side ratio
9) what is the perimeter RST
PLEASE ITS AN EMERGENCY

Answers

Answer:

c

24

Step-by-step explanation:

A scale drawing is a reduced form in terms of dimensions of an original image / building / object

the scale drawing is usually reduced at a constant dimension

scale of the drawing = original dimensions / dimensions of the scale drawing

/LM/ is similar to /SR/

scale = 9 / 6 = 1.5 = 3/2

length of /ST/ = 12 / 1.5 = 8

Length of /TR/ = 15 / 1.5 = 10

Perimeter = sum of sides

8 + 10 + 6 = 24

Given sin=300° , determine which of the following is an equivalent expression.
a) sin 60°
b) sin 240°
c) sin 200°
d) sin 120°

Answers

Answer:

b. 240

Step-by-step explanation:

sin of 300 is equal to -.86

sin of 240 is equal to -.86

use calculator

Does the equation x² - 4x + y2 = -3 intersect the x-axis?

a. yes, because the center is on the x-axis.

b. no, because the center is at (2,0) and the radius is 1

c. no, because the circle is entirely in the first quadrant.

d. yes, because the center is at (-2,0) and the radius is 3.

Answers

Answer:  a. yes, because the center is on the x-axis.

========================================================

Explanation:

The x intercepts always occur when y = 0.

Replace y with 0 and solve for x

x^2-4x+y^2 = -3

x^2-4x+0^2 = -3

x^2-4x+0 = -3

x^2-4x = -3

x^2-4x+3 = 0

(x-3)(x-1) = 0

x-3 = 0 or x-1 = 0

x = 3 or x = 1

This shows that the x intercepts are located at (3,0) and (1,0). Refer to the diagram below. The diagram shows that the roots are at points A and B. The center is the midpoint of A and B. The center is also on the x axis.

-----------------

Here's another approach:

The general template of a circle is (x-h)^2 + (y-k)^2 = r^2

Let's complete the square of the original given equation to get it into that template form above.

x^2 - 4x + y^2 = -3

(x^2-4x) + y^2 = -3

(x^2-4x+4) + y^2 = -3+4 ... add 4 to both sides

(x-2)^2 + y^2 = 1

(x-2)^2 + (y-0)^2 = 1^2

The equation is now in the template form mentioned earlier. The center is at (h,k) = (2,0) which is on the x axis.

What is the equation of the line tangent to the function f(x) = 4x^2 + 5x at the point (-2, 6).

Will give brainliest! Thank you.

Answers

Answer:

[tex]y=-11x-16[/tex]

Step-by-step explanation:

We want to find the equation of the tangent line to the function:

[tex]f(x)=4x^2+5x[/tex]

At the point (-2, 6).

First, we will need the slope of the tangent line. So, differentiate* the function:

[tex]f'(x)=8x+5[/tex]

Find the slope when x = -2:

[tex]f'(-2)=8(-2)+5=-11[/tex]

Now, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Our point is (-2, 6) and our slope is -11. Substitute:

[tex]y-(6)=-11(x-(-2))[/tex]

Simplify:

[tex]y-6=-11(x+2)[/tex]

Distribute:

[tex]y-6=-11x-22[/tex]

And add six to both sides. Therefore, our equation is:

[tex]y=-11x-16[/tex]

If you have not yet learned differentiation, here's the method using the difference quotient! The difference quotient is given by:

[tex]\displaystyle f'(x)=\lim_{h\to 0}\frac{f(x+h)-f(x)}{h}[/tex]

Here, x = -2. Substitute:

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{f(-2+h)-f(-2)}{h}[/tex]

Substitute (we are given the point (-2, 6). So, f(-2) = 6).

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{(4(-2+h)^2+5(-2+h))-(6)}{h}[/tex]

Expand and simplify:

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{(4(4-4h+h^2)+(-10+5h))-(6)}{h}[/tex]

Distribute:

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{16-16h+4h^2-10+5h-6}{h}[/tex]

Simplify:

[tex]\displaystyle f'(-2)=\lim_{h\to 0}\frac{4h^2-11h}{h}[/tex]

Evaluate the limit (using direct substitution):

[tex]\displaystyle f'(-2) = \lim_{h\to 0}4h-11=4(0)-11=-11[/tex]

please help me!!!!!!​

Answers

Answer:

B

Step-by-step explanation:

Answer:

5tan25°

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan25° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{CA}{5}[/tex] ( multiply both sides by 5 )

5tan25° = CA

20 pounds to 16 pounds is what present

Answers

Answer:

Decreased by 20%.

16 lbs is 80% of 20 lbs.

Step-by-step explanation:

[tex]\frac{y}{100} :\frac{16}{20}[/tex]

y × 20 = 16 × 100

20y = 1600

20y ÷ 20 = 1600 ÷ 20

y = 80

100% - 80% = 20%

helppppppppppppp. a and b partttt​

Answers

Answer:

a) 220.17 cm

b) 2127.12 cm²

Step-by-step explanation:

perimeter = circumference

it is the sum of the inner and the outer arc and the 2 side lines of 25.

we know a full circle has 360 degrees. but we only look at a segment of a circle of 150 out of the total of 360 degrees.

the circumference of a circle is

C = 2×pi×r

the 150 degree part is then

C = 2×pi×r×150/360 = 2×pi×r×15/36 = pi×r×15/18 =

= pi×r×5/6

the radius of the inner circle is 20.

=>

Ci = pi×20×5/6 = pi×50/3

the radius of the outer circle is 20 + 25 = 45

Co = pi×45×5/6 = pi×75/2

so, the total perimeter/ circumference is

C = Ci + Co + 25 + 25 = pi×50/3 + pi×75/2 + 50

= pi×100/6 + pi×225/6 + 50 = pi×325/6 + 50 =

= 220.17 cm

the area of the shaded shape is the area of the large circle segment minus the area of the small circle segment.

the area of a circle is

A = pi×r²

the 150 degree part is then

A = pi×r²×150/360 = pi×r²×5/12

so, for the inner circle that is

Ai = pi×20²×5/12 = pi×400×5/12 = pi×100×5/3 = pi×500/3

for the outer circle that is

Ao = pi×45²×5/12 = pi×2025×5/12 = pi×10125/12 =

= pi×3375/4

so, the total area of the shaded shape is

A = Ao - Ai = pi×3375/4 - pi×500/3 = pi×(10125-2000)/12 =

= pi×8125/12 = 2127.12 cm²

[(-2)⁴ + 3.(3² - 1)]: [(-2)³ + 3.2² ]

Answers

Here is your answer, : )

Find the volume of the sphere.

Either enter an exact answer in terms of π or use 3.1414 for π.

~Show all works~
~Have a great day~

Answers

Answer:

288pi or approximately 904.32

Step-by-step explanation:

The volume of a sphere is

V = 4/3 pi r^3 where r is the radius

V = 4/3 pi (6)^3

V = 288 pi

If we use the approximation for pi

V = 288(3.14)

V =904.32

Answer:

V = 288π units³

Step-by-step explanation:

The formula for the volume of a sphere is V = (4/3)πr³.

With r = 6 units, the volume of this sphere is V = (4/3)π(6 units)³, or

V = (4π/3)(216 units³), or V = 288π units³

determine the equation of the circle graphed below

Answers

Answer:

The equation would be (x – 3)^2 + (y – 4)^2 = √26^2 or 26.

Step-by-step explanation:

Firstly, we need to find the radius of the circle. In this case, through the Pythagorean theorem, we can find it to be √(9-4)^2 + (4-3)^2 = √25 + 1 = √26.

Therefore, the equation of the circle would be (x – h)^2+ (y – k)^2 = r^2, where h and k are the x and y-coordinates of the center of the circle respectively, and r is the radius. Hence, the equation of this circle would be (x – 3)^2 + (y – 4)^2 = √26^2 or 26.

Hope this helped!

Answer:

(x - 3)² + (y - 4)² = 26

Step-by-step explanation:

Equation in standard form:

(x - h)² + (y - k)² = r²,

where (h, k) is the center and r- radius

On the graph we have (h, k) = (3, 4)

Find the r² using the distance formula:

r² = ( 4 - 3)² + (9 - 4)² = 1² + 5² = 26

The equation is:

(x - 3)² + (y - 4)² = 26

Can someone help me out? I'm stuck. i think I've got the layout but I'm not sure??

Answers

Answer:

5.83 ft

Step-by-step explanation:

Pythagorean Theorem:

a² + b² = c²

3² + 5² = c²

9 + 25 = c²

34 = c²

c ≈ 5.8309 ≈ 5.83

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

5(1 + 4m) – 2m = -13

Answers

Answer and Step-by-step explanation:

Solve for m.

First, distribute the 5.

5 + 20m - 2m = -13

Combine like terms.

5 + 18m = -13

Subtract 5 from both sides of the equation.

18m = -18

Divide by 18 to both sides of the equation.

m = -1 <- This is the answer.

#teamtrees #PAW (Plant And Water)

[tex]\longrightarrow{\green{ \: m = - 1 }}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex]5 \: (1 + 4m) - 2m = - 13[/tex]

➼ [tex] \: 5 + 20m - 2m \: = \: - 13[/tex]

➼ [tex] \: 18m = - 13 - 5[/tex]

➼ [tex] \: 18m = - 18[/tex]

➼ [tex] \: m = \frac{ - 18}{18} [/tex]

➼ [tex] \: m = - 1[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]5 \: (1 + 4 \times - 1) - 2 \times - 1 = - 13[/tex]

➼ [tex] \: 5 \: (1 - 4) + 2 = - 13[/tex]

➼ [tex] \: 5 \times ( - 3) + 2 = - 13[/tex]

➼ [tex] \: - 15 + 2 = - 13[/tex]

➼ [tex] \: - 13 = - 13[/tex]

➼ [tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

If your string is 95 cm long and the second string is 650 mm, then how many mm are the two line segments together

Answers

Answer:

1600mm

Step-by-step explanation:

total length of the line segment = length of the first string + length of the second string

to add the strings together, convert the length of the first string to millimetre

1cm = 10mm

95 x 10 = 950mm

950mm + 650mm = 1600mm

Find the value of x.

Answers

Answer:

65

Step-by-step explanation:

65+50=115

180-115=65

Please give real answers with explaination. I will follow + I will give brainliest. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

True.

Step-by-step explanation:

This is true with any quadrilateral.

So, in a quadrilateral ABCD,

The pairs of opposite sides is parallel and equal.

For instance:

A = 1, 1

B = 2, 2

C = 3, 3

D = 4, 4

The midpoint of AB is (1+2)/2, (1+2)/2

The midpoint of CD is (3+4)/2, (3+4)/2

And so on and so forth, therefore the midpoints of the two opposite sides bisect the area of the rectangle.

Please help what’s the answer ??!

Answers

Answer:

50-(5+18)

=50-23

=27

3x=27

x=9

Answer:

x = 9

Add 5 and 18, and you will get 23. Then add 9 and 23 three times.

5 + 18 = 23

23 + 9 + 9 + 9 = 50

Determine the equation of a line in slope, y-intercept form, that has a slope of -2/5 and passes through the point (-5,7)

Answers

Answer:

y = -2/5x + 5

Step-by-step explanation:

y = -2/5x + b

7 = -2/5(-5) + b

7 = 2 + b

5 = b

simplify the following: 4(y + 2)

Answers

Answer:

answer

4( y+ 2 )

4y + 8

y = 8/4

y = 2

Answer:4

(

+

2

)

4(y+2)

4(y+2)

Simplify

1

Distribute

4

(

+

2

)

{\color{#c92786}{4(y+2)}}

4(y+2)

4

+

8

{\color{#c92786}{4y+8}}

4y+8

Solution

4

+

8

Step-by-step explanation:

The sum of 9 and y is less than or equal to 16.

Answers

Answer:

[tex]9+y[/tex] ≤ [tex]16[/tex]

Step-by-step explanation:

The sum of [tex]9[/tex] and [tex]y[/tex] which is [tex]9+y[/tex] is less than or equal to 16, which is ≤ [tex]16[/tex]

Hope this is helpful.

Solve for x and show work

Answers

Answer:

6.14 rounded to the nearest hundreth.

Every paralelogram equals 360º. And every oppisite angle is eqaul to each other. So by doing the math we can tell the smaller angles is 80º. Now we solve for x.

80=7x+37 minus 37 from both sides

43=7x.   then divide both side by 7 to cancel it out

6.14=x that is the answer rounded

You can check by inputing x's vaule into the equation and getting the angle measurment we solved for which is 80º.

7(6.14)+37

by doing this you get 80, the measure of the angle so the vaule for x is 6.14 rounded to the nearest hundreth.

         

Help please!
It takes 1 3/4 hours to cook a large chicken in the oven. What is this in minutes? -pic attached

Answers

Answer:

105 minutes

Step-by-step explanation:

[tex]1 \frac{3}{4} = 1 hour + \frac{3}{4} hour[/tex]

1 hour = 60 minutes

[tex]\frac{3}{4} \times 60 = 3 \times 15 = 45 minutes[/tex]

[tex]Therefore \ , \ 1 \frac{3}{4} = 60 + 45 = 105\ minutes[/tex]

The values of [tex]1\dfrac{3}{4}[/tex] hours in minutes is 105 minutes.

What are Arithmetic operations?

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculations

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation : Divides left hand operand by right hand operand

For example 4/2 = 2

Given data as :

It takes [tex]1\dfrac{3}{4}[/tex] hours to cook a large chicken in the oven.

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 1 hours + 3/4 hours

∵ 1 hour = 60 minutes

∴ 3/4 hours = (3/4)×60 = 45 minutes

Substitute the values in above equation,

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 60 minutes + 45 minutes

⇒  [tex]1\dfrac{3}{4}[/tex] hours = 105 minutes

Hence, the values of [tex]1\dfrac{3}{4}[/tex] hours in minutes is 105 minutes.

Learn more about Arithmetic operations here:

brainly.com/question/25834626

#SPJ2

Find the slope of the line that passes through (10, 4) and (6, 3).
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

The slope of the line that pass through the points (10, 4), and (6, 3) is 1/4

Step-by-step explanation:

The given points son the line are; (10, 4), and (6, 3)

The slope of a line is the rate of change of the y-values of the line relative to the x-values of the given line and the slope. 'm', can therefore be found by specifying two points on the line, (x₁, y₁), and (x₂, y₂), from which we get;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Therefore, the slope of the found line is given as follows;

(x₁, y₁) = (10, 4) and (x₂, y₂) = (6, 3)

[tex]Slope \ of \ the \ line, \, m =\dfrac{3-4}{6-10} = \dfrac{-1}{-4} = \dfrac{1}{4}[/tex]

The slope of the line that pass through the points (10, 4), and (6, 3), m = 1/4

10
c T is 4 units high. It is enlarged with a
scale factor of 4.
How high is the image?

Answers

Answer:

it is 14 pls make me brainliest pls

Step-by-step explanation:

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