1.79 ÷1.23=

A 1.31
B 1.35
C 1.5
D 1.38​

Using the z-distribution, it is found that the 90​% confidence interval for the percentage of successful challenges is (17.28, 29.34).

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].

31 out of 133 challenges were successful, hence:

[tex]n = 133, \pi = \frac{31}{133} = 0.2331[/tex]

90% confidence level, hence [tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].  

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2331 - 1.645\sqrt{\frac{0.2331(0.7669)}{133}} = 0.1728[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.2331 + 1.645\sqrt{\frac{0.2331(0.7669)}{133}} = 0.2934[/tex]

As percentages:

0.1728 x 100% = 17.28%

0.2934 x 100% = 29.34%

The 90​% confidence interval for the percentage of successful challenges is (17.28, 29.34).

A similar problem is given at https://brainly.com/question/16807970

[tex]Hiya![/tex]

Sokka is here to help!!

Here's a explanation!

[tex]6(12-3)+4+(3)(2)[/tex]

[tex]=(6)(9)+4+(3)(2)[/tex]

[tex]=54+4+(3)(2)[/tex]

[tex]=58+(3)(2)[/tex]

[tex]=58+6[/tex]

[tex]= 64[/tex]

64.

Hopefully, this helps you!!

[tex]Sokka[/tex]

Answer:

okay

Step-by-step explanation:

I think it wants you to remove the squares.

See if this works :)

Step-by-step explanation:

for each letter position there are 26 choices.

and each of these 26 choices can be combined with the next 26 choices.

so, they alone are 26×26×26 = 26³ = 17,576

then we have the three number positions.

each has 10 options.

so, they are 10×10×10 = 10³ = 1000

and both combined are

26³×10³ = 17,576,000 different number plates

The number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.

The fundamental counting principle or basic principle of counting is a method or a rule used to calculate the total number of outcomes when two or more events are occurring together.

This principle states that the total number of outcomes of two or more independent events is the product of the number of outcomes of each individual event.

For each letter position there are 26 choices, and each of these 26 choices can be combined with the next 26 choices.

so, they alone are 26×26×26 = 26³ = 17,576

then we have the three number positions, each has 10 options.

so, they are 10×10×10 = 10³ = 1000

and both combined are;

26³×10³ = 17,576,000 different number plates.

Hence the number of different license plate numbers are available to the state's Department of Motor Vehicles is 17,575,000.

Learn more about fundamental counting principle, click;

https://brainly.com/question/28384306

#SPJ2

Answer:

Step-by-step explanation:

To calculate the perimeter of a triangle, add the length of its sides.

8 + 9 + 11 = 28in

Answer:

Option 4

Step-by-step explanation:

[tex]2(a+6)[/tex]

Substitute [tex]a=2[/tex]:

[tex]2(2+6)=2(8)=16[/tex]

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

Check first option:

[tex]4a+8[/tex]

Substitute [tex]a=2[/tex]:

[tex]4(2)+8=8+8=16[/tex]

Since 16 is not greater than 16, the first option is incorrect.

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

Check second option:

[tex]2a+a^2[/tex]

Substitute [tex]a=2[/tex]:

[tex]2(2)+2^{2} =4+4=8[/tex]

Since 8 is not greater than 16, the second option is incorrect.

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

Check third option:

[tex]2a+12[/tex]

Substitute [tex]a=2[/tex]:

[tex]2(2)+12=4+12=16[/tex]

Since 16 is not greater than 16, the third option is incorrect.

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

Check fourth option:

[tex]a^4+2[/tex]

Substitute [tex]a=2[/tex]:

[tex]2^4+2=16+2=18[/tex]

Since 18 is greater than 16, the fourth option is correct.

[tex]f(x) = -2x^5 +x^3 -7x \\\\-f(x) =-(-2x^5 +x^3 -7x) = 2x^5 -x^3 +7x = x(2x^4 - x^2 +7)\\\\f(-x) = -2(-x)^5 + (-x)^3 -7(-x) = 2x^5 -x^3 +7x = x(2x^4 -x^2 +7) \\\\\\\text{Hence,} ~ -f(x)=f(-x)[/tex]

Answer:

h

Step-by-step explanation:

h

Answer:

they should be 21 27 33 39 45

Step-by-step explanation:

:)

56 ÷14 =4

Step-by-step explanation:

dividing

56÷7=8

Answer:

x = 7

y = -5

Step-by-step explanation:

x + y = 2

x - y = 12

( x + y ) + ( x - y ) = 2 + 12

2x = 14

x = 7

7 + y = 2

y = -5

Check:

7 + -5 = 2

7 - (-5) = 12

Correct

-Chetan K

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

2m/s2

Step-by-step explanation:

acceleration = (final velocity - initial velocity) / time

a = (30-20) / 5

a = 10 / 5

a = 2m/s2

[tex](x_1, y_1) = (6,-10),~~ (x_2, y_2) = (3,-13)\\\\\\\text{Slope,}~ m = \dfrac{y_2 - y_1}{x_2 - x_1} = \dfrac{-13 +10}{3 -6} =\dfrac{-3}{-3} =1[/tex]

Step-by-step explanation:

The area of a parallelogram is just base x height, same as a rectangle.

[tex]a=b*h\\a=ir*r[/tex]

If ir is 2 separate variables rather than just 1, that can be simplified to this:

[tex]a=ir^2[/tex]

How to identify domain and range from co-ordinate pairs?

Domain=x

Range=y

Hence.

In the graph here

[tex]\\ \sf\longmapsto D_f=0\leqslant x\leqslant y[/tex]

[tex]\\ \sf\longmapsto R_f=0\leqslant y\leqslant 14[/tex]

Answer:

10.9

Step-by-step explanation:

Answer:

54.7 yards

Step-by-step explanation:

1 meter = 1.094 yards

50 meters = 54.7 yards

Answer:

g ≤ 6

Step-by-step explanation:

The number of goldfish that can live in the tank is less than or equal to 6.

Answer:

the third answer

Step-by-step explanation:

because If two positive numbers are multiplied together or divided, the answer is positive. If two negative numbers are multiplied together or divided, the answer is positive. If a positive and a negative number are multiplied or divided, the answer is negative.

Answer:

211 remainder 6

Step-by-step explanation:

Step-by-step explanation:

211,85714

211 is the whole number

,85714 is the remainder

Total amount after three years

=  $8.360  

Explanation:

Given -

Principal amount  

p  = $.8,000

Rate of interest  

r  =  1.5%

Duration  

n  =  3 years

Total amount after three years = Principal amount + Interest amount

Total amount after three years

=  p +  (pnr)  = 8000  +  (8000×1.5100×3)  =  8000  +  360  =  $8.360

Total amount after three years

=  $8.360

Answer:

$8.360

Step-by-step explanation:

Answer:

45789932

Step-by-step explanation:

3456899954433222222344577890009

Answer:

7.1 in²  

Step-by-step explanation:

If you mentally rearrange the figure it's

a circle with a radius of 1

and a square with side of 2

Area of circle

a = 3.14r²

a = 3.14 * 1²

a = 3.14

Ares of square

a = s²

a = 2²

a = 4

Combined ares

a = 3.14 + 4

a = 7.14

Rounded

7.1 in²

Answer: 8 days.

Explanation;

11/2 = 5.5

5.5 x 3 = 16.5

132/16.5 = 8

Answer:

8 days

Step-by-step explanation:

So, 11/2 * 3 = (33/2) = 16.5 ml  

Let the number of days medicine last be 'x'.  

⇒ 16.5 * x = 132  

⇒ x = 132/16.5  

⇒ x = 8.  

Therefore, Medicines last for 8 days.  

Hope it helps!

Answer:

Step-by-step explanation:

Let the other leg = x

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

x^2 + 4^2 = 9x^2

4^2 = 9x^2 - x^2

16= 8x^2

16/8 = x^2

x^2 = 2

x = sqrt(2)

The lengths of the sides

x = sqrt(2)      

other side =4

hypotenuse = 3*sqrt(2)

x = 1.4

other side= 4

hypotenuse = 3*1.4142

hypotenuse = 4.2