Twenty nine concrete blocks were sampled and tested for crushing strength in order to estimate the proportion that were sufficiently strong for a certain application. Twenty seven of the 29 blocks were sufficiently strong. Use the small-sample method to construct a 95% confidence interval for the proportion of blocks that are sufficiently strong.

Answers

Answer 1

Answer:

95% confidence interval for the proportion of blocks that are sufficiently strong

(0.83913 , 1.02293)

Step-by-step explanation:

Step:-1

Given that the sample size 'n' = 29 blocks

Estimate proportion

                       [tex]p = \frac{x}{n} = \frac{27}{29} = 0.93103[/tex]

Step:-2

95% confidence interval for the proportion of blocks that are sufficiently strong

[tex](p^{-} -Z_{0.05} \sqrt{\frac{p(1-p)}{n} } , p^{-} + Z_{0.05} \sqrt{\frac{p(1-p)}{n} } )[/tex]

[tex](0.93103 -1.96 \sqrt{\frac{0.93103(1-0.93103)}{29} } , 0.93103 + 1.96 \sqrt{\frac{0.93103(1-0.93103)}{29} } )[/tex]

(0.93103 -  0.0919 , 0.93103 +0.0919)

(0.83913 , 1.02293)

Final answer:-

95% confidence interval for the proportion of blocks that are sufficiently strong

(0.83913 , 1.02293)


Related Questions

WILL GIVE BRAINLYIST FOR WHOSE RIGHT ITS TIMED TOO
Which metric unit name means “hundredth meters”?

A. millimeters
B. centimeters
C. meters
D. kilometers

Answers

Answer: Centimeters

Step By Step: 1 centimeter is equivalent to one hundredth of a meter. 1 millimeter is equivalent to one thousandth of a meter.

Answer: b

Step-by-step explanation:

Check the pic
please explain

Answers

Answer:

Option C

Step-by-step explanation:

From the picture attached,

In ΔABC,

m∠BAC + y° = 180° [Linear pair of angles are supplementary]

m∠BAC = 180° - y°

m∠ABC = x° [Vertically opposite angles]

m∠ACB = z° [Vertically opposite angles]

By triangle sum theorem,

m∠BAC + m∠ABC + m∠ACB = 180°

(180 - y)° + x° + z° = 180°

x - y + z = 180 - 180

x - y + z = 0

Option C will be the answer.

6 cm
4 cm
2 cm
3 cm
What is the area of the polygon?

Answers

Answer:

36 cm^2 is the area

Explanation -->

- first, separate the polygon into two separate ones, horizontally, to make two rectangles

- NOTE : Area = length x width

- 6 times 4 = 24

- 4 times 3 = 12  (self-explanatory, you get 4 by subtracting 6 and 2, as you can see)

- 24 + 12 = 36

-- You get 36 cm^2 --

Hope this helps!! Please mark as Brainliest!

What is the difference between 8x3-2x2+5x-7

Answers

-15

this is the answer :)

Answer:

I would say 55

Step-by-step explanation: 8x3=24-4=20+5x7=55

An ecologist is examining whether the number of fish caught in a large river basin has changed since a fire burned some of the surrounding forested area and vegetation along the river. Data in the form of fishing reports was available for a five-year period before the fire. From a random sample of 195 fishing reports before the fire, the mean catch was 6.3 fish with a standard deviation of 1.6. In a random sample of 143 reports three years after the fire, the mean catch was 7.1 fish with a standard deviation of 2.1.

Which of the following represents the standard error of the difference in the mean number of fish caught before and after the fire?

Answers

Answer:

The standard error of the difference in the mean number of fish caught before and after the fire is 0.2153.

or

sqrt [ (1.6^2)/195 + (2.1^2)/143 ]

Helppppppp mmemeeeeme plzzzz

Answers

Hope this helps you solve your math problem.

Consider the system of quadratic equations
y = 3x^2 - 5x,
y = 2x^2 - x - c,
where c is a real number.

(a) For what value(s) of c will the system have exactly one solution (x,y)?

(b) For what value(s) of c will the system have more than one real solution?

(c) For what value(s) of c will the system have no real solutions?

Solutions to the quadratics are (x,y) pairs. Your answers will be in terms of c, but make sure you address both x and y for each part.

Answers

9514 1404 393

Answer:

  (a)  c = 4

  (b)  c < 4

  (c)  c > 4

Step-by-step explanation:

(a) The solutions to the system of equations can be found by substituting one expression for y into the other equation:

  3x^2 -5x = 2x^2 -x -c

  x^2 -4x +c = 0 . . . . . . . subtract the right side expression

The discriminant is

  d = b^2-4ac = (4)^2 -4(1)(c) = 16-4c.

The system will have exactly one solution when d = 0.

  16 -4c = 0

  4 -c = 0

__

(b) There will be more than one real solution when d > 0

  4 -c > 0

  c < 4 . . . . two real solutions

__

(c) There will be no real solutions when d < 0.

  4 -c < 0

  c > 4 . . . . no real solutions

_____

Additional comment

The question posed here simply asks for a value of c. It does not ask for the solutions (x, y). We can count them without knowing exactly what they are.

The values and 14 are plotted on the number line.
&
What is the approximate clifference in tenths between the two values?
1.1

Answers

Answer: 12.9

Step-by-step explanation:

A line of infinite extent whose points correspond to the real numbers according to their distance in a positive or negative direction from a point arbitrarily taken as zero. I hope this explain the answer better!

In the equation x +9x+ 20 = (x+ a)(x+b),b is an integer.
Find algebraically all possible values of b.

Answers

x+9x+20 = (x+4)(x+5) or (x+5)(x+4)
so the answer could be 4 or 5

Dwayne solved 6 ÷ 1/5 by using related multiplaction expression what is a related multiplaction expresion for 6 ÷ 1/5

Answers

Answer:

30

Step-by-step explanation:

It is keep change flip

Answer:

30

Step-by-step explanation:

Find the gradient of the line segment between the points (-3,2) and (-2,5).

Answers

-3
Solution,
Let the points be A and B
A(-3,2)------->( X1,y1)
B(-2,5)------>( x2,y2)

write the decimal 0.015 as a fraction (line over the 15, the 15 is repeating)

Answers

0.015  in fraction

=[tex]\frac{15}{1000}[/tex]

Simplified is

=[tex]\frac{3}{200}[/tex]

Answer:[tex]\frac{3}{200}[/tex]


Find the surface area of the following triangular pyrarnid using the net.
Each triangle is congruent, with a base of 7 ftand a height of 6ft.

Answers

Answer:

B 84 is our answer

Step-by-step explanation:

triangle formula for surface area is base x height divided by 2 so 7 x 6 = 42 42 ÷ 2 = 21 All the other triangles are going to be the same so 21 x 4 = 84 so 84 is our surface area

On a two-week job, a repairman works a total of 70 hours. He charges a $75 fee plus $40 per hour. An equation shows this relationship, where x is the number of hours and y is the total fee. which number has a corresponding x coordinate of 0
A. 14
B. 70
C. 40
D. 75

please NO links. ​

Answers

The correct answer should be letter b as in Bob and correct if I’m wrong sorry

14. Classify the figure below. Identify how many faces, vertices, and edges.​

Answers

Answer:

5 faces

8 edges

5 vertices

A 6-sided die rolled twice. Let E be the event the first roll is a 5 and F the event "the second roll is a 5".
(a) Are the events E and F independent? |
Input Yes or No: Yes
(b) Find the probability of showing a 5 on both rolls. Write your answer as a reduced fraction.
Answer:

Answers

C an you po at a pi c tire of it please

HOW DO YOU FIND THE ARC OF A CIRCLE????

Answers

Answer:

1. Multiply the area by 2 and divide the result by the central angle in radians.

2. Find the square root of this division.

3. Multiply this root by the central angle again to get the arc length.

Step-by-step explanation:

What is the volume of this solid figure made with cubes?

Answers

Answer:

15 cubic units

Step-by-step explanation:

Use multiplication (V = l x w x h) to find the volume of a solid figure.

3*5=15

Help Please!!!!!!!!!!

Answers

Answer:

[tex]y\leq 3x-2[/tex]

Step-by-step explanation:

Find the volume of the object

Answers

Answer:

v=(6*9*12)

Step-by-step explanation:

Answer:

[tex]volume = \frac{1}{3} (length \times breadth \times height )\\ = (12 \times 9 \times 6) \frac{1}{3} [/tex]

HELP PLEASE ONCE MORE

Answers

Answer:

40 cubic units

Step-by-step explanation:

16x 3 = 48

48- 8 is 40

The graph of a 4th-degree polynomial is shown. How many real zeros does this function have?
A. 1
B. 2.
C. 3
D. 4​

Answers

Answer:

C:  3

Step-by-step explanation:

The graph touches or crosses the x-axis in 3 places; thus, there are 3 real zeros.

I think 4 and don’t click on any links plz and thank you hope this is right and this helps

Find the missing dimension of the triangle. A triangle with base labeled b, height labeled 6 feet, and height labeled 14 square feet.

Answers

Answer:

4.67 feet

Step-by-step explanation:

The computation of missing dimension of the triangle is given below:

As we know that

Area of the triangle = 1 ÷ 2 × base × height

14 = 1 ÷ 2 × base × 6

14 = 3 × base

So, the base is

= 14 ÷ 3

= 4.67 feet

Here we assume the area to be 14 square feet

Answer:

4⅔ or 4.67 feet

Step-by-step explanation:

Area of a triangle is ½bh

½×b×6=14

3b=14

14÷3=4⅔

Find (g times f) (3)
f(x)=3x-2
g(x)=x^2

Answers

Answer GoF(3)=(3*3-2)^2=49

Which number-line model represents the sum of 3/4 + (-1.75)?

Answers

Step-by-step explanation:

The fraction of -1.75 is -1 3/4

So, 3/4 + (-1 3/4) = 1.

For a quadratic equation where: 2++=0
a
x
2
+
b
x
+
c
=
0

Where: 2−4<0
b
2

4
a
c
<
0

How many solutions do you have?

State whether the solutions are rational, irrational, or non-real. Explain why.

Answers

Answer:

Solutions will be unreal

Step-by-step explanation:

Given the quadratic equation ax^2+bx+c

The discriminant of the function determines its nature of its root

Discriminant D = b^2-4ac

If D <0, it shows that the roots of the equation will be a complex value. since D is less than 0 and the square root of a negative number does not exist. Hence, the solutions will be unreal

The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Use the regression equation to predict the life span, y, for a gestation period of 6 months, x. Assume the variables x and y have a significant correlation. Gestation, x 8 2.1 1.3 1 11.5 5.3 3.8 24.3 Life span, y 30 12 6 3 25 12 10 40

Answers

Answer:

For a gestation period of 6 months, the life span is 15.

Step-by-step explanation:

Gestation(months)   x        8     2.1    1.3     1    11.5    5.3   3.8    24.3

Life span (years)       y       30    12      6      3   25      12    10     40

y =?   x= 6 months

Assuming the variables x and y have a significant correlation

Graphing the data on a spreadsheet

Using the linear equation obtained

y =  1.5229*x + 6.3425

x=6

y = 1.5229*6 + 6.3425

y = 15. 5

Find the length of the missing side of the right triangle shown.

Answers

Answer:

17

Step-by-step explanation:

15^2 + 8^2 = 225 + 64 = 289

[tex] \sqrt{289} [/tex]

=17

Plz show work,... need help fast please

Answers

Step-by-step explanation:

For 18:

[tex] {10}^{2} + {y}^{2} = {26}^{2} \\ 100 + {y}^{2} = 676 \\ {y}^{2} = 676 - 100 \\ {y}^{2} = 576 \\ y = \sqrt{576} \\ y = 24 \: in[/tex]

For 19

[tex] {10}^{2} + {( \frac{15}{2}) }^{2} = {c}^{2} \\ 100 + \frac{225}{4} = {c}^{2} \\ \frac{625}{4} = {c}^{2} \\ c = \sqrt{ \frac{625}{4} } \\ c = \frac{25}{2} \\ c = 12.5 \: m[/tex]

A trapezoid with a height of 19 meters has a base of 26 meters and another base of 46 meters. What is the area of the trapezoid?


the area of the trapezoid is

A 342m2 B 598m2 C 684 m2D 1,368m2

Answers

Answer:684

Step-by-step explanation:

A= 1/2 h (b1+b2)

A= 1/2 19 (46+26)

A= 9.5 (72)

A=684

The answer is C... 684
Other Questions
Choose two subjects and write a active and passive sentence about themex. Subject: litter box, active: I clean the litter box regularly, passive: The litter box is cleaned regularly by me 1.-Una fuerza horizontal de 40 N es apenas suficiente para poner en marcha un trineo de 600 N sobre nieve compacta. Despus de empezar el movimiento se requieren tan solo 10 N para mantener el trineo a rapidez constante. Halle los coeficientes de friccin esttica y cintica The shortest pipe in a particular organ is 1.23 m.Determine the frequency (in Hz) of the ninth harmonic (at 0C) if the pipe is closed at one end.Hz (09.01 MC)In circle A shown below, the measure of BAD is 148:Circle A with angle BAD measuring 148 degrees; points B, C, D lie on Circle A.If mArc BC is 102, what is mArc CD? (3 points)Group of answer choices744696148 . Give the three dates when advancements were made in transportation Who would be my audience be if I am writing an essay on how women of color get treated differently at work and that should change. (like people that don't agree with me) Vivi has started hanging out with a new group of friends at school. She is also, though, feeling anxious because her new group of friends skips class often and she is encouraged to skip class as well. Even though Vivi knows her parents will be disappointed if they find out, she skips Friday to go to the beach. What best explains her anxiety? Excerpt from Eros Turannos Edwin Arlington RobinsonBetween a blurred sagacityThat once had power to sound him, 10And Love, that will not let him beThe Judas that she found him,Her pride assuages her almost,As if it were alone the cost.He sees that he will not be lost, 15And waits and looks around him.Considering the entire poem, which sentence BEST expresses the allusion used in line twelve? Give reasons why christian should avoid corruption Which of the following is NOT one of the four basic parts of physical fitness? A. body compostionB. FlexbityC. forceD. strength PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT! why it would be more difficult to pass a budget in 2019 compared to 2021? what is another way to write 15 divided by 2 A: 2/15B 15/2C 15+2D 15x2 Find the value of y. geometry!! The length of a rectangle is 2 meters longer than the width. If the area is 30 square meters, find the rectangle's dimensions. Consider the following data on some weak acids and weak bases: acid base name formula Ka name formula Kbhydrocyanic acid HCN 4.9 x 10^-10 hydroxylamine HONH2 1.1 x 10^-1 hypochlorous acid HCIA 3.0 x 10^-18 ethylamine C2H5NH2 6.4 x 10^-4 Use this data to rank the following solutions in order of increasing pH. In other words, select a '' next to the solution that will have the lowest pH, a '' next to the solution that will have the next lowest pH, and so on.a. 0.1 M HONH3Br b. 0.1 M NaNO3c. 0.1 M C2H5NH3Cl d. 0.1 M NaF ill mark u brainiest if you are the 1st person to tell me how 2 get pionts Please help solve correctly. NO links or files. Correct answers only if not report. I will even give an additional 10 if correct. What were the intendedand unintended consequences of the rise offactories in the cities? Iggy Company is considering three capital expenditure projects. Relevant data for the projects are as follows. Project Investment Annual Income Life of Project 22A $243,500 $17,320 6 years 23A 271,400 20,600 9 years 24A 283,000 15,700 7 years Annual income is constant over the life of the project. Each project is expected to have zero salvage value at the end of the project. Iggy Company uses the straight-line method of depreciation.Determine the internal rate of return for each project. (Round answers 0 decimal places)