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

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]

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:


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

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

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

HELP PLEASE ONCE MORE

Answers

Answer:

40 cubic units

Step-by-step explanation:

16x 3 = 48

48- 8 is 40

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

Answers

Answer:

5 faces

8 edges

5 vertices

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)

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:

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.

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

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

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.

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

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.

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]

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 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

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

Answers

Answer:

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

Step-by-step explanation:

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!

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:

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]

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 ]

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

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!

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

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

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

Helppppppp mmemeeeeme plzzzz

Answers

Hope this helps you solve your math problem.

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