Find distance AB.
A(3, 2) and B(9,7)

Step-by-step explanation:

Let [tex]$X_1, X_2, X_3,$[/tex] . . . ,Xn be the random sample of n employee's sick days. It is given that the random samples follows the  Normal distribution along with standard deviation of 7 days. Let

[tex]X_i\sim N(\mu ,7)[/tex]

[tex]\bar{X} =\frac{1}{n}\Sigma X_i\sim N(\mu,\frac{7}{\sqrt n})[/tex]

or   [tex]Z=\frac{\bar{X}-\mu}{7 /\sqrt n} \sim N(0,1)[/tex]

So,

[tex]P(-Z_{\alpha /2} \leq Z\leq Z_{\alpha /2} ) = 1- \alpha[/tex]

[tex]P(-Z_{\alpha /2} \leq \frac{\bar{X}- \mu}{7 / \sqrt n}\leq Z_{\alpha /2} ) = 1- \alpha[/tex]

[tex]P(\bar{X}-\frac{7}{\sqrt n} Z_{\alpha / 2} \leq \mu \leq \bar{X}+\frac{7}{\sqrt n} Z_{\alpha / 2} ) = 1- \alpha[/tex]

Therefore, the confidence interval of the population mean for α = 0.05 is

= [tex]P(\bar{X}-\frac{7}{\sqrt n} Z_{\alpha / 2} , \bar{X}+\frac{7}{\sqrt n} Z_{\alpha / 2} )[/tex]

= [tex]P(21-\frac{7}{\sqrt 20} Z_{0.05 / 2} , 21+\frac{7}{\sqrt 20} Z_{0.05 / 2} )[/tex]

= (17.93, 24.07)

Answer:

63 inches

Step-by-step explanation:

Answer:

63 inches

Step-by-step explanation:

12inches = 1 foot.

5x12=60+3=63

Answer: (B) 1.12

Step-by-step explanation:

8 weeks = 56 days

56 days x 20 grams = 1120 grams

1120 grams = 1.12 kilograms

Answer:

Step-by-step explanation:

0.898989..... is a rational number because it has a terminating decimals

Answer:

1) zero

2) undefined

3) negative

4) positive

5) negative y= -30x+342

hope this helps;)

Answer:

i cant understand it brief it plz

Step-by-step explanation:

Answer: [tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex].

Step-by-step explanation:

The given function is

[tex]f(x)=\sin(9\ln (x))[/tex]

Using chain rule differentiate w.r.t. x.

[tex]f'(x)=\cos(9\ln (x))\dfrac{d}{dx}(9\ln (x))[/tex]      [tex]\left[\because \dfrac{d}{dx}\sin x=\cos x\right][/tex]

[tex]f'(x)=\cos(9\ln (x))\left[9\dfrac{d}{dx}(\ln (x))\right][/tex]

[tex]f'(x)=\cos(9\ln (x))\left[9\times \dfrac{1}{x}\right][/tex]       [tex]\left[\because \dfrac{d}{dx}\ln x=\dfrac{1}{x}\right][/tex]

[tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex]

Therefore, [tex]f'(x)=\dfrac{9\cos(9\ln (x))}{x}[/tex].

Answer:

1= 6x2

2= -6b3

Step-by-step explanation:

The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given first equation,

(-4x² + 6x + 3) + (8x + 5 + ?) = 2x ²+ 14x + 8

-4x² + 6x + 8x + 3 + 5 + ? = 2x ²+ 14x + 8

-4x² + 14x + 8 + ? = 2x ²+ 14x + 8

? = 2x ²+ 14x + 8 + 4x² - 14x - 8

? = 6x²

In the second equation,

(-b³ + 3b² + 8) – (? - 562 - 9) = 5b³ + 8b² + 17

(-b³ + 3b² + 8) - (5b³ + 8b² + 17) =  (? - 562 - 9)

? = -b³ - 5b³ + 3b² - 8b² + 8 - 17 + 571

? = -6b³ - 5b² + 562

Hence "The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562".

For more about the equation,

brainly.com/question/10413253

#SPJ6

Steps to solve:

f(x) = 5x - 3

~Substitute

f(-2) = 5(-2) - 3

~Simplify

f(-2) = -10 - 3

~Subtract

f(-2) = -13 (Option A)

Best of Luck!

Answer:

Step-by-step explanation:

f(-2) = 5(-2) - 3 = -10 - 3 = -13

A is the answer

Answer:

y = -2

Step-by-step explanation:

Slope does not exist, meaning that the line is horizontal. Therefore, the equation is just y = -2.

Answer/Step-by-step explanation:

a. Angle y is vertically opposite the angle that measures 80°. Vertically opposite angles are said to be equal to each other, therefore, y = 80°

x + y + 50° = 180° (sum of angles in a ∆)

x + 80° + 50° = 180 (substitution)

x + 130° = 180°

x = 180° - 130° (subtracting 130 from each side)

x = 50°

b. x + 50° = 120° (sum of the 2 opposite interior angles in a ∆ = the exterior angle of the ∆)

x = 120 - 50 (subtracting 50 from each side)

x = 70°

y + x + 50° = 180° (sum of angles in a ∆)

y + 70° + 50 = 180° (substitution)

y + 120° = 180°

y = 180 - 120 (subtracting 120 from each side)

y = 60°

Answer:

45

Step-by-step explanation:

1) First, add 45 and 12 which equals to 57.

2)Then, subtract 12 from 57 which equals to 45.

3) Again, add 45 and 12 which equals to 57.

4) Finally, subtract 12 from 57 which leaves us with 45.

Hope this helps!

Answer:

45

Step-by-step explanation:

Answer:

The answer is c

Step-by-step explanation:

Answer: Infinite

Odd numbers are of the form 2n+1, where n is an integer

Solving 2n+1 > 19 leads to n > 9. There are infinitely many integers that make the inequality n > 9 to be true.

Answer:

17/20 or 0.85

Step-by-step explanation:

3 x 4/20 + 1 x 5/20

12/20 + 5/20

( 12 + 5 ) / 20

17/20

( 0.85 )

Answer:

1152 hours

Step-by-step explanation:

It doesn’t mention that it has AM or PM, so we’re assuming that it’s just the same time, regardless if the clocks actually shows the wrong time in am/pm-wise.

So, if it gains 5 minutes every 8 hours, we have to make see how many 5-minutes that we need to make 12 hours. 12 hours is equal to 720 minutes, so 720/5=144. Since it asks how many hours we need for it to become the same time again, we need to add the fact that it only adds 5 minutes every 8 hours. Henceforth, we need to multiply our answer (144) by 8 hours. 144*8=1152. Your answer is 1152 hours.

(If you saw this answer before, it was here before, only worded a little bit differently. The admins deleted the response, with this explanation:

‘Your answer has been removed because it was incomplete or incorrect. We know you were excited to help, so please repost and make sure to include any necessary explanations and details. That way other students will better understand your answer. Check out what makes a great answer here: https://faq.brainly.com/hc/en-us/articles/360010136959-Answering-Guidelines ߷’

I was a little confused, because for me it’s wasn’t really incorrect OR incomplete, but I’m going to repost with different wordings. I just want to help people. Hopefully this time my answer doesn’t get deleted.)

Hope this helps you!

The shortest interval of time after which the clock will show the correct time again is 144 hours.

Given that a certain analog clock runs fast and gains 5 minutes every 8 hours, and it was set to show the correct time, to determine what is the shortest interval of time after which the clock will show the correct time again the following calculation must be done:

A clock has a duration of 12 hours, that is, it makes a full turn in that time. Thus, the advance time must be 12 hours for the marked time to be correct.

Therefore, the shortest interval of time after which the clock will show the correct time again is 144 hours.

Learn more in https://brainly.com/question/417916

Answer:

52% is the answer

52%

all decimals can convert to percentages easily. For example:

0.76 = 76%

0.4 = 40%

0.093 = 9.3%

just move the decimal point 2 places backwards.

Answer: the first one is 1 the second and third is 0.35

Step-by-step explanation:

I jus guessed and got it right someone else has to explain sorry

Answer:  1.)  1

               2.)  0.35

               3.)  0.35

Step-by-step explanation:

-11-8 = -19

Step-by-step explanation:

semoga membantu anda

Answer:

approximately 21 years

Step-by-step explanation:

-From the problem, we are given the equation I = Prt

-We're also given three numbers

-From that, we can determine which number should be plugged into the equation:

-The only value we are not given is t as we need to solve for this value

-Now plug all these values into the equation:

It takes approximately 21 years for the investment amount to be worth $2308.

Answer: Width=76 ft

Step-by-step explanation:

Let x = width, then x+17=length

Solve:

(x+17)x=7086

x²+17x=7086

x²+17x-7086=0

(x-76)(x+93)=0 ⇔ This is rounded to the nearest integer

x=76 or x=-93 (rej) ⇔ A length cannot be negative.

Answer:

See Below

Step-by-step explanation:

[tex]\frac{4}{3} y = 18\\[/tex]

3 x [tex]\frac{4}{3} y = 18\\[/tex] x3

4y = 54

divide by 4

y= 13 1/2 or 13.5

Answer:

4.

Step-by-step explanation:

Take 400 hundreds, 100 x 400 = 40,000. Take that divided by 10,000 your answer would be 4.

Answer: D

Step-by-step explanation:

Since we know that the area of the square is 900 in², we can use that to find the length of each side.

900=x²                 [square root both sides]

x=30

Now that we know each side is 30 in, we know that the diameter of the circle is also 30 in. To find the radius, divide the diameter by 2.

2r=30                    [divide both sides by 2]

r=15

With the radius, we can find the area of the circle.

A=π(15)²               [exponent]

A=225π

Since the problem said to leave in terms of π, the area is A=225π in².

Answer:

10.29 meters per second and 10.26 meters per second

Step-by-step explanation:

200/ 19.44 = 10.29

100/ 9.75 = 10.26

Answer:

Option no. 1

Step-by-step explanation:

For the 200 meter race:

his speed is [tex]\frac{200}{19.44}[/tex] = 10.29 meters per seconds

For the 100 meter race:

his speed is [tex]\frac{100}{9.75}[/tex] = 10.26 meters per seconds

Answer:

10

Step-by-step explanation:

This is called a combination. Imagine you draw a figure, with a number representing each person, as shown below:

1  2  3  4  5

Person 1 can shake person 2, 3, 4, and 5's hands, for a total of 4 handshakes.

Person 2 can shake 3, 4, and 5's hands, for a total of 3 handshakes.

Person 3 can shake 4 and 5's hands, for a total of 2 handshakes.

Person 4 can only shake 5's hand, which is 1 handshake.

Last you add up the handshakes from every person, 4+3+2+1, which is equal to ten unique handshakes.

Answer:

see below

Step-by-step explanation:

5/6 + ( -1 1/6)

Changing the mixed number

5/6 + - (6/6 +1/6)

5/6 + ( -7/6)

-2/6

Simplify

-1/3

Since these are divided into 6 pieces, go two pieces to the left of zero.