23. In the figure, A, B, E and C are points on the circle.
AE is the diameter of the circle and AD is the height
of ABC.
Given that CAD = 18°, find BAE.​

.....................................

Answer:

Step-by-step explanation:

Number of toss  ( n ) = 100

probability of a head  in 1 toss ( p ) = 0.5

Hence : np = 100 * 0.5 = 50 > 5, also  n( 1-p) = 50 > 5

mean value ( μ ) = np  = 50

std = √ n(p)(1-p) = √100(0.5)(0.5) = 5

Using Normal approximation

P( 42 ≤ x ≤ 58 ) = P ( 42-0.5 ≤ x ≤ 58 + 0.5 )

= P( (41.5 - 50) / 5 < Z < (58.5 - 50) / 5 )

= P ( -1.7 < Z < 1.7 )

= 0.91087

Using Calculator to get the exact value

P( 42 ≤ x ≤ 58 ) = 0.911374

How far off is the Normal distribution (Absolute value of error )= | 0.911374 -  0.91087 |  = 0.000504

Answer:

2.3718759×10^9

Step-by-step explanation:

Its the answer

Answer:

2.371875908 × 109 is ur answer.

Step-by-step explanation:

hope this helps!

~mina

Answer:

$9200

Step-by-step explanation:

Given :

Working backwards :

Amount left before last $200 winning = $1200 - $200 = $1000

Amount had before 4th bet loss : $1000 * 2 = $2000

Amount lost on third bet loss = $300

Total amount had before 2nd bet loss = $(2000 + 300) = $2300

Amount had before second loss = 2 * 2300 = $4600

Amount had before first bet loss = $4600 * 2 = $9200

Hence, amount had before starting to lose games is $9200

Step-by-step explanation:

5x² - 8x + 2 + x² - 6x +3

= 6x²- 14x + 5

Answer:

52

Step-by-step explanation:

Ok, so first, we should find the fraction and turn that into a decimal. Do this by dividing the numerator by the denominator.

17/83 = 0.2048192771.

Now, we simply multiply our decimal by the new amount of people.

0.2048192771 x 250 = 51.2048192771.

Lastly, we should round our number up, as you can't possibly have a fraction of a person.

Our final answer is that roughly 52 people will be choosing fish, according to this sample

Answer:

Infinitely many solutions.

Step-by-step explanation:

The given system of equations are :

3x+y=-5 ...(1)

3y+15=-9x

y+5 = -3x

or

3x+y = -5 ....(2)

Here, [tex]\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}[/tex]

It means, two lines are coincident. It means they have infinitely many solutions.

Answer:

99% Confidence interval is given as;

Lower Limit = 0.062

Upper Limit = 0.130

Step-by-step explanation:

Given the data in the question;

x = 48

n = 500

sample proportion p = x/n = 48/500 = 0.096

with 99% confidence

significance level ∝ = 1 - 99% = 1 - 0.99 = 0.01

∝/2 = 0.01 / 2 = 0.005

Critical Z-value = [tex]Z_{\alpha /2[/tex] = [tex]Z_{0.005[/tex]  = 2.576

Now,

Standard error of p : SE = √[ (p × ( 1 - p) / n ) ]

we substitute

SE = √[ (0.096 × ( 1 - 0.096) / 500 ) ]

SE = √[ (0.096 × 0.904) / 500  ]

SE = √[ 0.086784 / 500 ) ]

SE = 0.0131745

so

Margin of Error E = [tex]Z_{\alpha /2[/tex] × SE

E = 2.576  × 0.0131745

E = 0.0339

Now 99% confidence interval will be

⇒ 0.096 ± 0.0339

⇒ (0.096 - 0.0339, 0.096 + 0.0339 )

⇒ ( 0.062, 0.130 )

Lower Limit = 0.062

Upper Limit = 0.130

Answer:

Box-4 → (+)

Step-by-step explanation:

To find the value in the 4th box, we will expand the given logarithmic expression.

log₄x⁵y³ = log₄x⁵ + log₄y³

             = 5log₄x + 3log₄y

Therefore, each box will have the values as,

Box-1 → 5

Box-2 → log₄

Box-3 → x

Box-4 → (+)

Box-5 → 3

Box-6 → log₄

Box-7 → y

There is the (+) sign in Box-4.

Answer:

m > 21

Step-by-step explanation:

Given the inequality expression

2/3m + 3 < m - 4

Multiply through by 3

2/3 m * 3 + 3(3) < 3(m-4)

2m+9 < 3m-12

Collect the like terms

2m - 3m < -12 - 9

-m < -21

Multiply through by -1

-1(-m)>-1(-21)

m > 21

Hence the required solution is m > 21

Answer:

Step-by-step explanation:

AB and DC are parallel, so ∠B and ∠C are supplementary angles.

∠B = 180°-∠C = 79°

AD and BC are congruent. ∠A = ∠B = 79°

Answer:

D.8

Step-by-step explanation:

Since your chance of success is only 1 out of 5 or rather, 20%, so

40 divided by 5 equals 8, so the answer is D.

(Of course, this is just what SHOULD happen, not what CERTAINLY can happen.)

Expected number of answers to be correct = 8.

Measure of the likelihood of an event happening is called Probability. Probability can be between 0 to 1. 0 means the event cannot happen, 1 indicates the specific event. The sum of the probabilities of all events in the sample space is 1.

Probability can be defined as the ratio between the number of favorable outcomes and the total number of outcomes of an event. For a trial with “n” number of results, the number of favorable outcomes can be denoted by x. The formula for calculating the probability of an event is as follows.

Probability (Event) = Favorable Outcome/Total Outcome = x/n  

Given,

Number of questions = 40

One of 5 choices is correct

then, probability of getting correct option = 1/5

Number of correct answers = 40 × 1/5 = 8

Hence, 8 answers are expected to be correct.

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ6

Answer:

y = 4x - 7

Step-by-step explanation:

Slope = 4 ; x1 = 2 , y1 = 1

Slope point form: y -y1 = m(x -x1)

y - 1 = 4(x - 2)

y - 1 = 4x - 2*4

y -1 = 4x - 8

   y = 4x - 8 +1

  y = 4x - 7

9514 1404 393

Answer:

  x ≤ -14

Step-by-step explanation:

We assume you want to solve ...

  x/(-7) +14 ≥ 16

Subtract 14, then multiply by -7.

  x/(-7) ≥ 2 . . . . subtract 14

  x ≤ -14 . . . . . . multiplying by a negative number reverses the inequality

The solution is shown on the number line below.

Answer:

4%

Step-by-step explanation:

1/25 is equal to 0.04

To convert a decimal to a percent... move the decimal 2 spots to the right

This will give you 4%

Hope this helps!

HOW TO CONVERT 1/25 TO A PERCENTAGE?

To write 1/25 to a percentage, you must remember that 1 equals 100% and that what you must do is multiply the number by 100 and add the symbol% at the end.

[tex] \bold{1 /25 * 100 = 0.04 * 100 = 4\%}[/tex]

And finally we have:

[tex] \bold{1/25 \: a \: percentage equals 4\%}[/tex]

Answer:

24

Step-by-step explanation:

30% of the pie chart is pizza. 30% of 80 = 0.3 * 80 = 24

Answer:

The answer is 24 students

Step-by-step explanation:

The pizza section of the pie chart is 30% and the total amount of students is 80 so you just have to find 30% of 80. You find this by multiplying 80 times .3 . Then you will get 24.

Answer:

3sqrt3 cm

Step-by-step explanation:

6^2-3^2

36-9=27

sqrt27 = 3sqrt3

Answer:

c. 3 square root ( 3 ) cm

Step-by-step explanation:

C^2 = A^2 + B^2

A^2 = C^2 - B^2

= 6^2 - 3^2

= 36 - 9

A^2 = 27

A = 3√3 cm

Answer:

3

Step-by-step explanation:

5 × 3 -15 = 15 - 15 = 0

Answer:

38 pound

STEP  BY STEP

Answer:

[tex]\sqrt{185}[/tex] or 14 (13.6)

Step-by-step explanation:

Compute the distances between

[tex]\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

The distances between ↑ are

[tex]\sqrt{\left(12-4\right)^2+\left(27-16\right)^2}[/tex]

Simplify

[tex]\sqrt{185}[/tex] or 14

hope this helps

~R3V0

Step-by-step explanation:

given,

alex = x

bella = 3x

cara = x - 10

and also given,

[tex]x + 3x + (x - 10) = 90 \\ x + 3x + x - 10 = 90 \\ 5x - 10 = 90 \\ 5x = 90 + 10 \\ 5x = 100 \\ x = 100 \div 5 \\ = 20[/tex]

Given x = £20,

Alex = £x = £20

Bella = £3x = £3x20 = £60

Cara = £(x-10) =£(20-10) =£10

Answer:

6$

Step-by-step explanation:

Answer:

I = $ 6.00

Step-by-step explanation:

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 60 × 0.1 × 1 = 6

I = $ 6.00

The simple interest accumulated

on a principal of $ 60.00

at a rate of 10% per year

for 1 years is $ 6.00.

Hope its correct

Given:

Total number of book = 22

Number of white books = 6

Number of Purple books = 9

Number of green books = 7

To find:

The probability that Warren takes out a green book in both draws (with replacement).

Solution:

We know that,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]P(\text{White})=\dfrac{6}{22}[/tex]

[tex]P(\text{Purple})=\dfrac{9}{22}[/tex]

[tex]P(\text{green})=\dfrac{7}{22}[/tex]

After replacement, the probability of event remains the same and the independent.

The probability that Warren takes out a green book in both draws is:

[tex]P=P(\text{green})\times P(\text{green})[/tex]

[tex]P=\dfrac{7}{22}\times \dfrac{7}{22}[/tex]

[tex]P=\dfrac{49}{484}[/tex]

Therefore, the correct option is (a).

Answer:

D.) 400

Step-by-step explanation:

I started by adding all the votes together

4+4+17+21=46

I then rounded 46 up to 50 to make the next step easier

I divided 5000 by 50 and got 100.

With that information, I can now multiply each original vote by 100 to make them more realistic to the number of voters (5000)

4*100=400

4*100=400

17*100=1700

21*100=2100

Now Ben has 2100 votes while Scott has 1700

Subtract 1700 from 2100 and you get 400

So Ben is expected to get approx. 400 more votes than Scott.

Hope I helped!! Maybe Brainliest answer?

Answer:

[tex]12.7[/tex]

Step-by-step explanation:

[tex]180 - 167.3 = 12.7 \\ < angle \: on\: a \: stright \: line \: is \: 180[/tex]

Answer:

he can run 24240 kilometers

Step-by-step explanation:

Answer:

x <-6

Step-by-step explanation:

Answer:

9/16 yd^2

Step-by-step explanation:

2 1/4 as an improper fraction is 9/4, 9/4 * 1/4 = 9/16, and since you are multiplying two yards, thats yard^2, so 9/16 yd^2